Instance: [[1], [6], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2]; Results for m' = 2,...,3. UB Alg: [4, 2], Opt: [3, 2]
Allocation for m' = 2,...,3:
-StartAllocation
[[2, 2], [2]]
[[2], [2], [2]]
-EndAllocation

Instance: [[1], [5], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2]; Results for m' = 2,...,3. UB Alg: [4, 2], Opt: [3, 2]
Allocation for m' = 2,...,3:
-StartAllocation
[[2], [1, 2]]
[[2], [2], [1]]
-EndAllocation

Instance: [[1], [8], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2]; Results for m' = 2,...,4. UB Alg: [5, 4, 2], Opt: [4, 3, 2]
Allocation for m' = 2,...,4:
-StartAllocation
[[2, 2], [2, 2]]
[[2, 2], [2, 2], []]
[[2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [7], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2]; Results for m' = 2,...,4. UB Alg: [5, 4, 2], Opt: [4, 3, 2]
Allocation for m' = 2,...,4:
-StartAllocation
[[1, 2, 2], [2]]
[[1, 2], [2, 2], []]
[[2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [10], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2]; Results for m' = 2,...,5. UB Alg: [6, 5, 4, 2], Opt: [5, 4, 3, 2]
Allocation for m' = 2,...,5:
-StartAllocation
[[2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2]]
[[2, 2], [2, 2], [2], []]
[[2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [9], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2]; Results for m' = 2,...,5. UB Alg: [6, 4, 4, 2], Opt: [5, 3, 3, 2]
Allocation for m' = 2,...,5:
-StartAllocation
[[2, 2], [1, 2, 2]]
[[2], [2, 2], [1, 2]]
[[1, 2], [2], [], [2, 2]]
[[2], [1], [2], [2], [2]]
-EndAllocation

Instance: [[1], [12], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2]; Results for m' = 2,...,6. UB Alg: [8, 5, 4, 4, 2], Opt: [6, 4, 3, 3, 2]
Allocation for m' = 2,...,6:
-StartAllocation
[[2, 2, 2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [11], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2]; Results for m' = 2,...,6. UB Alg: [8, 5, 4, 4, 2], Opt: [6, 4, 3, 3, 2]
Allocation for m' = 2,...,6:
-StartAllocation
[[2, 2], [1, 2, 2, 2]]
[[1, 2, 2], [2, 2], [2]]
[[2, 2], [2], [1], [2, 2]]
[[2, 2], [1, 2], [], [2, 2], []]
[[2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [14], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,7. UB Alg: [9, 6, 5, 4, 4, 2], Opt: [7, 5, 4, 3, 3, 2]
Allocation for m' = 2,...,7:
-StartAllocation
[[2, 2, 2], [2, 2, 2, 2]]
[[2], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2], [], []]
[[2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [13], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,7. UB Alg: [9, 6, 5, 4, 4, 2], Opt: [7, 5, 4, 3, 3, 2]
Allocation for m' = 2,...,7:
-StartAllocation
[[1, 2, 2, 2, 2], [2, 2]]
[[1], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [1]]
[[2, 2], [2, 2], [2, 2], [], [], [1]]
[[2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [16], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,8. UB Alg: [10, 8, 5, 5, 4, 4, 2], Opt: [8, 6, 4, 4, 3, 3, 2]
Allocation for m' = 2,...,8:
-StartAllocation
[[2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [15], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,8. UB Alg: [10, 6, 5, 4, 4, 4, 2], Opt: [8, 5, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,8:
-StartAllocation
[[1, 2, 2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2, 2], [1, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2]]
[[2, 2], [2, 2], [2], [2, 2], [1]]
[[2, 2], [1, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [], [], [1, 2], [2, 2], [], [2, 2]]
[[2], [2], [1], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [18], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,9. UB Alg: [12, 8, 6, 5, 4, 4, 4, 2], Opt: [9, 6, 5, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,9:
-StartAllocation
[[2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[2, 2], [2, 2], [2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [17], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,9. UB Alg: [12, 8, 6, 5, 4, 4, 4, 2], Opt: [9, 6, 5, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,9:
-StartAllocation
[[2, 2, 2], [1, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [1], [2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [1], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [20], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,10. UB Alg: [13, 9, 6, 5, 5, 4, 4, 4, 2], Opt: [10, 7, 5, 4, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [19], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,10. UB Alg: [13, 9, 6, 5, 5, 4, 4, 4, 2], Opt: [10, 7, 5, 4, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,10:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2], [1, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [1, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [1, 2], [2, 2], []]
[[2, 2], [], [], [2], [2, 2], [1], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [22], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,11. UB Alg: [14, 10, 8, 6, 5, 5, 4, 4, 4, 2], Opt: [11, 8, 6, 5, 4, 4, 3, 3, 3, 2]
Allocation for m' = 2,...,11:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [21], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,11. UB Alg: [14, 9, 8, 6, 5, 4, 4, 4, 4, 2], Opt: [11, 7, 6, 5, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,11:
-StartAllocation
[[2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [1, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2], [1], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], []]
[[2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [1], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [24], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,12. UB Alg: [16, 10, 8, 6, 5, 5, 4, 4, 4, 4, 2], Opt: [12, 8, 6, 5, 4, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [23], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,12. UB Alg: [16, 10, 8, 6, 5, 5, 4, 4, 4, 4, 2], Opt: [12, 8, 6, 5, 4, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [1, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [1, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2], [2, 2], [2, 2], [1], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2], [1]]
[[2, 2], [], [2, 2], [2, 2], [1, 2], [2, 2], [], [], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [26], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,13. UB Alg: [17, 12, 9, 8, 6, 5, 5, 4, 4, 4, 4, 2], Opt: [13, 9, 7, 6, 5, 4, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [25], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,13. UB Alg: [17, 12, 9, 6, 6, 5, 5, 4, 4, 4, 4, 2], Opt: [13, 9, 7, 5, 5, 4, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,13:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [1], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [1], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2]]
[[2], [2], [2], [2], [1], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [28], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,14. UB Alg: [18, 13, 9, 8, 6, 5, 5, 5, 4, 4, 4, 4, 2], Opt: [14, 10, 7, 6, 5, 4, 4, 4, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [27], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,14. UB Alg: [18, 12, 9, 8, 6, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [14, 9, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [1, 2]]
[[2, 2, 2], [2, 2, 2], [], [1, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2], [1], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [1], [2, 2], [2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2], [2, 2], [], [1]]
[[2, 2], [], [], [2, 2], [2, 2], [1], [2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [1, 2], [2, 2], [], [2, 2], [], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [30], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,15. UB Alg: [20, 13, 10, 8, 6, 6, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [15, 10, 8, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [29], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,15. UB Alg: [20, 13, 10, 8, 6, 6, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [15, 10, 8, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [1]]
[[2, 2, 2], [2, 2, 2], [], [2, 2], [2, 2, 2], [2, 2, 2], [1]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [32], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,16. UB Alg: [21, 14, 10, 9, 8, 6, 5, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [16, 11, 8, 7, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,16:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [31], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,16. UB Alg: [21, 14, 10, 9, 8, 6, 5, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [16, 11, 8, 7, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [1], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [], [2, 2], [2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [1, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2], [], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [1], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [], [2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [34], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,17. UB Alg: [22, 16, 12, 9, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 2], Opt: [17, 12, 9, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [33], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,17. UB Alg: [22, 14, 12, 9, 8, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [17, 11, 9, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1, 2], [2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [36], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,18. UB Alg: [24, 16, 12, 10, 8, 8, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [18, 12, 9, 8, 6, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [35], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,18. UB Alg: [24, 16, 12, 9, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [18, 12, 9, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2, 2], [1], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [1, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [], [2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [1], [], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2], [2, 2], [], [], [2, 2], [1], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [], [2, 2], [1], [2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [], [2, 2], [2], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [38], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,19. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,19:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [37], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,19. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,19:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [1, 2, 2]]
[[2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [1]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], []]
[[2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [1], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [1], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [40], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,20. UB Alg: [26, 18, 13, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2], Opt: [20, 14, 10, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [39], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,20. UB Alg: [26, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [20, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2], [], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2], [1]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [1], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [1, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], []]
[[2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [1]]
[[2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [], [], [], [2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [42], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,21. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[2, 2], [], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [41], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,21. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [1]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2], [1], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [], [1, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2]]
[[2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [1]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [1], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [1], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [1], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [44], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,22. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [43], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,22. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,22:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [1, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [1, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], []]
[[2, 2], [], [1], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], []]
[[2, 2], [2, 2], [2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [], [2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [], [], [], [2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [46], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,23. UB Alg: [30, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [23, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,23:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [45], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,23. UB Alg: [30, 20, 16, 12, 10, 9, 8, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [23, 15, 12, 9, 8, 7, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,23:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1, 2], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [48], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,24. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [47], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,24. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [1], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], []]
[[2, 2, 2], [2, 2, 2], [1, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [1], [], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [], []]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [], [], [], [2, 2], [2, 2], [1]]
[[2, 2], [], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], []]
[[2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [50], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,25. UB Alg: [33, 22, 17, 13, 12, 10, 9, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [25, 17, 13, 10, 9, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,25:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [49], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,25. UB Alg: [33, 22, 17, 13, 12, 9, 9, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [25, 17, 13, 10, 9, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,25:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [1], [2, 2]]
[[2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [1], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [52], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,26. UB Alg: [34, 24, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [26, 18, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,26:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [51], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,26. UB Alg: [34, 22, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [26, 17, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,26:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [1]]
[[2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [], [2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [1, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2], [], [2, 2], [], [2, 2], [], [], [], [], [], [], [2, 2], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [], [], [1], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [54], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,27. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [53], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,27. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [1, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [], [2, 2, 2], [1]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [1]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [1], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [56], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,28. UB Alg: [37, 25, 18, 16, 13, 10, 9, 9, 8, 8, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [28, 19, 14, 12, 10, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,28:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [55], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,28. UB Alg: [37, 25, 18, 14, 13, 10, 9, 9, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [28, 19, 14, 11, 10, 8, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,28:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2]]
[[2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [1, 2], [], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [], [], [2]]
[[2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [58], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,29. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [29, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [57], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,29. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [29, 19, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [], [2, 2, 2], [], [2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [60], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,30. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [59], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,30. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1]]
[[2, 2, 2, 2], [1], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2], [2, 2, 2], [2, 2, 2], [1]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [1, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [], [2, 2], [2]]
[[2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [1, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [1, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], []]
[[2, 2], [], [2, 2], [], [2, 2], [2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [62], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,31. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,31:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [61], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,31. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,31:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2]]
[[2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [1], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [1], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [64], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,32. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,32:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [63], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,32. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [32, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,32:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2], [2, 2, 2, 2], [1]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2], [], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2], [2, 2, 2], []]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2], [], [2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [1], [], [2, 2], [2, 2], [], [], [], [2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [1], [], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [1], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], [], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [1], [2, 2], [], [2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2], [], [], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [66], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,33. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,33:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [65], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,33. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,33:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2]]
[[2, 2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], []]
[[2, 2, 2], [], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2], [2, 2, 2]]
[[2, 2, 2], [], [1, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [1], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [1], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [], [], [], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [], [2, 2], [], [], [1], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [68], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,34. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [67], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,34. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,34:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [1, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [], [2]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [1], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [1], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2], [], [2, 2], [2, 2], [], [], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2]]
[[2, 2], [], [], [1], [2, 2], [], [], [2, 2], [2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [70], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,35. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,35:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [69], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,35. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,35:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [1, 2, 2, 2, 2], [2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [1, 2, 2], [], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [], [1, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [], [1, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], []]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [1], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [], [], [], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [1], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [72], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,36. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,36:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [71], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,36. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,36:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [1], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [1]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [], [], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [1], [2, 2], [2, 2], [2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], [2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [], [2, 2], [], [1], [], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [1], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2], [2, 2], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [1], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [74], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,37. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,37:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [73], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,37. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,37:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [1]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [1], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], []]
[[2, 2], [2, 2], [], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [1], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [1], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [1], [], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [2, 2]]
[[2, 2], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [76], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,38. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,38:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [75], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,38. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,38:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [], [1, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [], [], [2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [1], [2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [], [2], [], [2, 2], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2], [2, 2], [2, 2], [2, 2], [], [], [1], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [1, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [1], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [78], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,39. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,39:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [77], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,39. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,39:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2], [1], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], []]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [1], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [1], [], [2, 2], [], [], [], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [1], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [1], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [80], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,40. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,40:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [79], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,40. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,40:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [1, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [1, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [1], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [1], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [1], [2, 2], [], [2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [1], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [], [2, 2], [2], [], [], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [82], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,41. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,41:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [81], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,41. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,41:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [2, 2, 2, 2], [1, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [1]]
[[2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [1]]
[[2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [], [], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [84], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,42. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,42:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [83], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,42. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,42:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [1, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [1], [], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [1]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [1], [2, 2], [], [2, 2], [2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2], [], [], [], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], []]
[[2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [], [2, 2], [1], [2, 2], [2, 2], [], []]
[[2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [], [2], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [86], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,43. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,43:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [85], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,43. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,43:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], []]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1]]
[[2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [1]]
[[2, 2], [], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [], [], [], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [88], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,44. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,44:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [87], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,44. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,44:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [1]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2], [1, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [], [1], [], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [1, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [], [2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2], [1], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [1, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [1]]
[[2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [], [], [1], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [1], [], [], [2, 2]]
[[2, 2], [], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [], [], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [], [], [], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [90], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,45. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,45:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [89], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,45. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,45:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [], [2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2, 2], [1]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2], [], [2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [1]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2], [], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2]]
[[2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [1], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1]]
[[2, 2], [2, 2], [1], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [1], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2]]
[[2, 2], [1], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [1], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [92], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,46. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,46:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [91], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,46. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,46:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [1], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [], [2, 2], [], [], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [1], [2, 2], [], [2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [1], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [1], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [1], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2], [], [2, 2], [], []]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2], [], [], [2, 2], [], [1], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [1], [], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [], [], [2, 2], [], [], [], [1]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2], [], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [2], [], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [1], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [1], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [94], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,47. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,47:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [93], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,47. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,47:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [1]]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [2, 2, 2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [1], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2, 2], [], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1]]
[[2, 2], [2, 2], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [1], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [1], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], []]
[[2, 2], [], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], []]
[[2, 2], [2, 2], [1], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [], [1], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [1], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [], [1], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [1], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [96], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,48. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [95], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,48. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,48:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [1, 2, 2], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [], [], [1, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [], []]
[[2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [], [2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2], [1], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2], [2, 2, 2], [2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [1], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [1, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [1], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], []]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2], [], [1], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [1], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [1], [], [], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [1], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2], [2, 2], [2, 2], [], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [1], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [], [1], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [2, 2], [], [2], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [98], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,49. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,49:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [97], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,49. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,49:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [1], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [], [], []]
[[2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [1], [2, 2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [1], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], []]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [1], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], []]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [1], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [], [2, 2], [1], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [1], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [1], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], []]
[[2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], []]
[[2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [2, 2], [2, 2], [], [], [1], [], []]
[[2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [1], [], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], []]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [1], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [1]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [1], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [100], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,50. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,50:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], []]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]
-EndAllocation

Instance: [[1], [99], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]; Results for m' = 2,...,50. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2]
Allocation for m' = 2,...,50:
-StartAllocation
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2], []]
[[2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2], [1], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [1, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [1], [2, 2, 2, 2], []]
[[2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [1], [], [2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], []]
[[1, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [], []]
[[2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [1], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [1], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[2, 2, 2], [1, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [], [2, 2, 2], [2, 2, 2], [], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2], [], [2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [2, 2, 2]]
[[2, 2, 2], [1], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [], [2, 2, 2], [2, 2, 2], [2], [], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], []]
[[1, 2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [], [], [], [], [], [], []]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [1], [2, 2], [2, 2]]
[[2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2], [], [2, 2], []]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [1], [], [], [2, 2], [2, 2], [2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], []]
[[2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [1], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [1], [2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], []]
[[2, 2], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [1], [2, 2], [], [], [2, 2], [], [2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [1], [2, 2], [], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2]]
[[2, 2], [], [2, 2], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2], [2, 2], [1], [2, 2], [], [], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [1], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [1], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [1], [], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2], [2, 2], [], [], [], [2, 2]]
[[2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [], [1, 2], [2, 2]]
[[2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [1], [2], [2, 2], [2, 2]]
[[2, 2], [2, 2], [2, 2], [], [1], [], [2, 2], [], [2, 2], [], [], [], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [], [2], [2, 2], [2, 2], [], [], [], [2, 2], [], [], [], [2, 2]]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [], [], [], [], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [], [], [2, 2], [2, 2], [1], [2, 2], [], [], [2, 2], []]
[[2, 2], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [], [], [2, 2], [], [], [2, 2], [], [2, 2], [], [1], [], [], [], [], [], [], [], [2, 2], [], [], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [2, 2]]
[[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [1]]
-EndAllocation

Instance: [[1], [9], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3]; Results for m' = 2,...,3. UB Alg: [6, 4], Opt: [5, 3]
Allocation for m' = 2,...,3:
-StartAllocation
[[3, 3], [3]]
[[3], [3], [3]]
-EndAllocation

Instance: [[1], [8], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4]; Results for m' = 2,...,3. UB Alg: [5, 4], Opt: [4, 3]
Allocation for m' = 2,...,3:
-StartAllocation
[[4], [4]]
[[4], [], [4]]
-EndAllocation

Instance: [[1], [7], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4]; Results for m' = 2,...,3. UB Alg: [5, 4], Opt: [4, 3]
Allocation for m' = 2,...,3:
-StartAllocation
[[3], [4]]
[[4], [3], []]
-EndAllocation

Instance: [[1], [12], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4]; Results for m' = 2,...,4. UB Alg: [8, 5, 4], Opt: [6, 4, 3]
Allocation for m' = 2,...,4:
-StartAllocation
[[4, 4], [4]]
[[4], [4], [4]]
[[], [4], [4], [4]]
-EndAllocation

Instance: [[1], [11], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4]; Results for m' = 2,...,4. UB Alg: [8, 5, 4], Opt: [6, 4, 3]
Allocation for m' = 2,...,4:
-StartAllocation
[[3, 4], [4]]
[[3], [4], [4]]
[[3], [], [4], [4]]
-EndAllocation

Instance: [[1], [10], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4]; Results for m' = 2,...,4. UB Alg: [6, 5, 4], Opt: [5, 4, 3]
Allocation for m' = 2,...,4:
-StartAllocation
[[3, 3], [4]]
[[3], [3], [4]]
[[3], [], [3], [4]]
-EndAllocation

Instance: [[1], [15], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 3, 4, 4]; Results for m' = 2,...,5. UB Alg: [10, 6, 5, 4], Opt: [8, 5, 4, 3]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 4], [1, 3, 3]]
[[3, 3], [4], [1, 4]]
[[4], [4], [3], [1, 3]]
[[4], [3], [4], [3], [1]]
-EndAllocation

Instance: [[1], [14], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4]; Results for m' = 2,...,5. UB Alg: [9, 6, 5, 4], Opt: [7, 5, 4, 3]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 4], [3, 3]]
[[4], [4], [3, 3]]
[[4], [3], [4], [3]]
[[3], [4], [4], [], [3]]
-EndAllocation

Instance: [[1], [13], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4]; Results for m' = 2,...,5. UB Alg: [9, 6, 5, 4], Opt: [7, 5, 4, 3]
Allocation for m' = 2,...,5:
-StartAllocation
[[3, 4], [3, 3]]
[[4], [3], [3, 3]]
[[4], [3], [3], [3]]
[[3], [4], [3], [], [3]]
-EndAllocation

Instance: [[1], [18], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4]; Results for m' = 2,...,6. UB Alg: [12, 8, 6, 5, 4], Opt: [9, 6, 5, 4, 3]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 4, 4], [3, 3]]
[[4, 4], [4], [3, 3]]
[[4], [3, 3], [4], [4]]
[[3], [4], [4], [3], [4]]
[[4], [4], [], [4], [3], [3]]
-EndAllocation

Instance: [[1], [17], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4]; Results for m' = 2,...,6. UB Alg: [12, 8, 6, 5, 4], Opt: [9, 6, 5, 4, 3]
Allocation for m' = 2,...,6:
-StartAllocation
[[3, 4, 4], [3, 3]]
[[4, 4], [3], [3, 3]]
[[3, 3], [3], [4], [4]]
[[3], [4], [3], [3], [4]]
[[4], [4], [], [3], [3], [3]]
-EndAllocation

Instance: [[1], [16], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4]; Results for m' = 2,...,6. UB Alg: [10, 8, 5, 5, 4], Opt: [8, 6, 4, 4, 3]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 4], [4, 4]]
[[4, 4], [4, 4], []]
[[4], [4], [4], [4]]
[[4], [], [4], [4], [4]]
[[], [4], [4], [4], [], [4]]
-EndAllocation

Instance: [[1], [21], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4]; Results for m' = 2,...,7. UB Alg: [14, 9, 8, 6, 5, 4], Opt: [11, 7, 6, 5, 4, 3]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 4], [3, 3, 3]]
[[3, 3, 3], [4, 4], [4]]
[[3, 4], [], [3, 3], [4, 4]]
[[3, 3], [4], [4], [3], [4]]
[[3], [3], [4], [4], [4], [3]]
[[3], [3], [], [3], [4], [4], [4]]
-EndAllocation

Instance: [[1], [20], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 4, 4]; Results for m' = 2,...,7. UB Alg: [13, 9, 6, 5, 5, 4], Opt: [10, 7, 5, 4, 4, 3]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 4], [2, 2, 2, 2]]
[[4, 4], [2, 2], [2, 2, 4]]
[[2, 4], [4], [2, 2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2]]
[[2, 2], [4], [4], [], [2, 2], [4]]
[[2, 2], [4], [2, 2], [4], [], [4], []]
-EndAllocation

Instance: [[1], [19], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 3, 4, 4]; Results for m' = 2,...,7. UB Alg: [13, 9, 6, 5, 5, 4], Opt: [10, 7, 5, 4, 4, 3]
Allocation for m' = 2,...,7:
-StartAllocation
[[2, 2, 4, 4], [2, 2, 3]]
[[4, 4], [2], [2, 2, 2, 3]]
[[2, 4], [4], [2, 2, 2], [3]]
[[4], [4], [2, 2], [2, 3], [2]]
[[2, 2], [4], [3], [], [2, 2], [4]]
[[2, 2], [3], [2, 2], [4], [], [4], []]
-EndAllocation

Instance: [[1], [24], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 3, 3, 4, 4, 4, 4]; Results for m' = 2,...,8. UB Alg: [16, 10, 8, 6, 5, 5, 4], Opt: [12, 8, 6, 5, 4, 4, 3]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4], [1, 1, 3, 3, 4, 4]]
[[1, 1, 4, 4], [3, 3], [4, 4]]
[[4, 4], [3], [1, 1, 3], [4, 4]]
[[3, 3], [1, 1, 4], [4], [4], [4]]
[[1, 4], [1, 4], [4], [4], [3], [3]]
[[1, 4], [4], [], [1, 4], [3], [3], [4]]
[[4], [3], [3], [4], [4], [4], [1, 1], []]
-EndAllocation

Instance: [[1], [23], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 4, 4, 4, 4, 4]; Results for m' = 2,...,8. UB Alg: [16, 10, 8, 6, 5, 5, 4], Opt: [12, 8, 6, 5, 4, 4, 3]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4], [1, 1, 1, 4, 4, 4]]
[[1, 1, 4, 4], [4], [1, 4, 4]]
[[4, 4], [1, 1, 1, 4], [4, 4], []]
[[1, 1, 4], [1, 4], [4], [4], [4]]
[[1, 4], [1, 4], [1, 4], [4], [4], []]
[[1, 4], [4], [], [1, 4], [], [1, 4], [4]]
[[4], [], [4], [4], [4], [4], [1, 1, 1], []]
-EndAllocation

Instance: [[1], [22], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4]; Results for m' = 2,...,8. UB Alg: [14, 10, 8, 6, 5, 5, 4], Opt: [11, 8, 6, 5, 4, 4, 3]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4], [3, 3, 4, 4]]
[[4, 4], [3, 3], [4, 4]]
[[4, 4], [3, 3], [], [4, 4]]
[[4], [4], [4], [4], [3, 3]]
[[4], [4], [4], [4], [3], [3]]
[[4], [4], [], [4], [3], [3], [4]]
[[4], [3], [3], [4], [4], [4], [], []]
-EndAllocation

Instance: [[1], [27], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 3, 4, 4, 4, 4]; Results for m' = 2,...,9. UB Alg: [18, 12, 9, 8, 6, 5, 5, 4], Opt: [14, 9, 7, 6, 5, 4, 4, 3]
Allocation for m' = 2,...,9:
-StartAllocation
[[2, 4, 4, 4, 4], [2, 2, 2, 3]]
[[2, 2, 2, 2, 3], [4], [4, 4, 4]]
[[4, 4], [4, 4], [3], [2, 2, 2, 2]]
[[3, 4], [4], [], [4, 4], [2, 2, 2, 2]]
[[2, 4], [3], [4], [4], [2, 2, 2], [4]]
[[2, 2], [4], [4], [4], [3], [4], [2, 2]]
[[2, 2], [], [2, 2], [4], [3], [4], [4], [4]]
[[4], [4], [4], [], [2, 2], [3], [], [2, 2], [4]]
-EndAllocation

Instance: [[1], [26], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4, 4]; Results for m' = 2,...,9. UB Alg: [17, 12, 9, 8, 6, 5, 5, 4], Opt: [13, 9, 7, 6, 5, 4, 4, 3]
Allocation for m' = 2,...,9:
-StartAllocation
[[3, 3, 4], [4, 4, 4, 4]]
[[3, 4, 4], [3], [4, 4, 4]]
[[4, 4], [4, 4], [3, 4], [3]]
[[3, 4], [4, 4], [3], [4, 4], []]
[[4], [3, 3], [4], [4], [4], [4]]
[[3], [4], [4], [4], [3], [4], [4]]
[[3], [4], [], [4], [3], [4], [4], [4]]
[[4], [4], [4], [], [3], [3], [], [4], [4]]
-EndAllocation

Instance: [[1], [25], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 3, 4, 4, 4]; Results for m' = 2,...,9. UB Alg: [17, 12, 9, 6, 6, 5, 5, 4], Opt: [13, 9, 7, 5, 5, 4, 4, 3]
Allocation for m' = 2,...,9:
-StartAllocation
[[2, 2, 4, 4, 4], [2, 2, 2, 3]]
[[2, 2, 2, 2, 2], [3], [4, 4, 4]]
[[2, 2, 2, 2], [3], [4, 4], [2, 4]]
[[2, 4], [4], [2, 4], [2, 2, 2], [3]]
[[2, 2, 2], [2, 4], [3], [4], [2], [4]]
[[2, 2], [4], [2, 2], [4], [2, 3], [], [4]]
[[2, 2], [4], [4], [2], [3], [], [2, 2], [4]]
[[2, 2], [3], [4], [2], [2, 2], [], [], [4], [4]]
-EndAllocation

Instance: [[1], [30], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 4, 4, 4, 4]; Results for m' = 2,...,10. UB Alg: [20, 13, 10, 8, 6, 6, 5, 5, 4], Opt: [15, 10, 8, 6, 5, 5, 4, 4, 3]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 2, 2, 4, 4], [4, 4, 4]]
[[2, 2, 4, 4], [4, 4, 4], [2, 2, 2]]
[[2, 4, 4], [4], [2, 2, 2, 2], [4, 4]]
[[4, 4], [4, 4], [2, 2, 2, 2], [2, 4], []]
[[2, 4], [4], [4], [4], [2, 2, 2], [2, 4]]
[[2, 4], [4], [2, 2, 2], [2, 4], [], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [2]]
[[2, 2], [4], [4], [2], [], [2, 2], [4], [4], [4]]
[[2, 2], [2, 2], [4], [], [4], [], [2], [4], [4], [4]]
-EndAllocation

Instance: [[1], [29], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 4, 4, 4, 4, 4]; Results for m' = 2,...,10. UB Alg: [20, 13, 10, 8, 6, 6, 5, 5, 4], Opt: [15, 10, 8, 6, 5, 5, 4, 4, 3]
Allocation for m' = 2,...,10:
-StartAllocation
[[1, 1, 1, 3, 3, 4, 4], [4, 4, 4]]
[[1, 1, 1, 4, 4], [4, 4, 4], [3, 3]]
[[1, 1, 1, 3, 4], [4, 4], [4, 4], [3]]
[[4, 4], [1, 1, 1, 4], [3, 3], [4, 4], []]
[[1, 1, 4], [1, 4], [4], [4], [3, 3], [4]]
[[1, 1, 4], [4], [], [4], [3, 3], [1, 4], [4]]
[[1, 1, 1], [4], [3], [4], [4], [4], [4], [3]]
[[1, 1, 1], [4], [4], [4], [3], [3], [4], [4], []]
[[1, 1, 1], [3], [4], [3], [4], [], [], [4], [4], [4]]
-EndAllocation

Instance: [[1], [28], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 3, 4, 4, 4, 4]; Results for m' = 2,...,10. UB Alg: [18, 13, 9, 8, 6, 5, 5, 5, 4], Opt: [14, 10, 7, 6, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,10:
-StartAllocation
[[1, 3, 3, 3, 4, 4], [1, 1, 4, 4]]
[[3, 3, 3, 4], [1, 4, 4, 4], [1, 1]]
[[1, 1, 1, 3, 3], [4, 4], [3, 4], [4]]
[[1, 1, 3, 3], [4, 4], [], [1, 3], [4, 4]]
[[1, 1, 4], [4], [4], [3, 3], [1, 3], [4]]
[[1, 1, 3], [4], [4], [3], [4], [1, 4], [3]]
[[1, 4], [1, 1, 3], [4], [], [4], [4], [3], [3]]
[[1, 4], [4], [1, 1, 3], [3], [3], [], [], [4], [4]]
[[1, 1, 1], [3], [4], [3], [3], [4], [], [4], [4], []]
-EndAllocation

Instance: [[1], [33], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,11. UB Alg: [22, 14, 12, 9, 8, 6, 6, 5, 5, 4], Opt: [17, 11, 9, 7, 6, 5, 5, 4, 4, 3]
Allocation for m' = 2,...,11:
-StartAllocation
[[1, 1, 1, 4, 4], [2, 4, 4, 4, 4, 4]]
[[4, 4], [2, 4, 4, 4], [1, 1, 1, 4, 4]]
[[], [1, 1, 1, 2, 4], [4, 4, 4], [4, 4, 4]]
[[], [1, 1, 1, 2, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 4], [4], [1, 1, 1, 4], [4, 4], [4, 4]]
[[4], [4], [1, 4], [4], [1, 1, 4], [2, 4], [4]]
[[4], [2, 4], [1, 1, 1], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [1, 1, 1, 2], [], [4], [4]]
[[4], [4], [1, 1, 1], [4], [4], [2], [4], [4], [], [4]]
[[4], [4], [4], [], [4], [4], [], [4], [4], [2], [1, 1, 1]]
-EndAllocation

Instance: [[1], [32], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 3, 4, 4, 4, 4, 4]; Results for m' = 2,...,11. UB Alg: [21, 14, 10, 9, 8, 6, 5, 5, 5, 4], Opt: [16, 11, 8, 7, 6, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,11:
-StartAllocation
[[3, 3, 3, 4, 4, 4], [1, 1, 1, 4, 4]]
[[1, 1, 1, 3, 4, 4], [3, 3], [4, 4, 4]]
[[1, 1, 4, 4], [3, 3, 3], [1, 4, 4], [4]]
[[1, 1, 3, 4], [1, 4, 4], [3, 3], [4, 4], []]
[[4, 4], [3], [4, 4], [1, 1, 1], [4], [3, 3]]
[[1, 1, 4], [1, 4], [4], [4], [4], [3, 3], [3]]
[[1, 1, 3], [1, 4], [4], [3], [4], [3], [4], [4]]
[[1, 4], [4], [3], [1, 1, 3], [], [4], [3], [4], [4]]
[[1, 1, 1], [4], [3], [4], [3], [4], [], [3], [4], [4]]
[[4], [], [3], [1, 3], [], [4], [3], [4], [4], [1, 1], [4]]
-EndAllocation

Instance: [[1], [31], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4]; Results for m' = 2,...,11. UB Alg: [21, 14, 10, 9, 8, 6, 5, 5, 5, 4], Opt: [16, 11, 8, 7, 6, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,11:
-StartAllocation
[[1, 3, 3, 3, 3, 4, 4], [1, 1, 4, 4]]
[[1, 1, 1, 3, 4, 4], [3, 3, 3], [4, 4]]
[[1, 1, 4, 4], [3, 3, 3], [1, 3], [4, 4]]
[[3, 3, 3], [1, 4, 4], [1, 1, 3], [4, 4], []]
[[4, 4], [3, 3], [4, 4], [1, 1, 1], [], [3, 3]]
[[1, 1, 4], [1, 4], [], [4], [4], [3, 3], [3, 3]]
[[1, 1, 3], [1, 4], [3], [3], [4], [3], [4], [4]]
[[1, 4], [4], [3], [1, 1, 3], [], [3], [3], [4], [4]]
[[1, 1, 1], [4], [3], [4], [3], [], [3], [3], [4], [4]]
[[4], [], [3], [1, 3], [], [4], [3], [4], [3], [1, 1], [4]]
-EndAllocation

Instance: [[1], [36], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 3, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,12. UB Alg: [24, 16, 12, 10, 8, 8, 6, 5, 5, 5, 4], Opt: [18, 12, 9, 8, 6, 6, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [1, 1, 1, 3, 3, 3]]
[[1, 1, 1, 3, 3, 3, 4], [4], [4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4], [1, 1, 1], [3, 3, 3]]
[[1, 1, 4, 4], [4, 4], [1, 3], [4, 4], [3, 3]]
[[1, 1, 1, 3], [4, 4], [4, 4], [4, 4], [3, 3], []]
[[4, 4], [1, 1, 1, 3], [], [3, 3], [4, 4], [], [4, 4]]
[[3, 3], [4], [4], [4], [3], [4], [1, 1, 4], [1, 4]]
[[1, 1, 3], [3], [3], [4], [4], [4], [4], [4], [1, 4]]
[[1, 1, 1], [4], [4], [4], [3], [4], [3], [3], [4], [4]]
[[1, 4], [], [], [1, 4], [4], [3], [1, 4], [4], [4], [3], [3]]
[[1, 3], [4], [3], [4], [4], [], [3], [], [4], [4], [4], [1, 1]]
-EndAllocation

Instance: [[1], [35], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4]; Results for m' = 2,...,12. UB Alg: [24, 16, 12, 9, 8, 6, 6, 5, 5, 5, 4], Opt: [18, 12, 9, 7, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 3, 4, 4], [4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [3]]
[[3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], []]
[[4, 4], [2, 2, 2, 2], [3], [4, 4], [2, 2, 4]]
[[2, 2, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [3]]
[[2, 2, 2], [2, 4], [4], [2, 4], [2, 4], [3], [4]]
[[2, 2, 2], [4], [4], [2, 2, 2], [3], [4], [4], [4]]
[[2, 2], [4], [3], [4], [2, 2], [2, 2], [4], [4], [4]]
[[2, 2], [4], [2, 2], [2, 2], [3], [4], [4], [4], [], [4]]
[[2, 2], [], [4], [2, 2], [2, 2], [4], [3], [4], [4], [], [4]]
[[4], [2, 2], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [], [3]]
-EndAllocation

Instance: [[1], [34], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]; Results for m' = 2,...,12. UB Alg: [22, 16, 12, 9, 8, 6, 6, 5, 5, 5, 4], Opt: [17, 12, 9, 7, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[4], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4]]
[[], [2, 2, 4], [2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2]]
[[], [2, 4], [2], [2, 2, 2], [2, 4], [4], [2, 4], [4]]
[[4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2], [4]]
[[4], [2, 2], [2, 2], [4], [], [4], [2], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [], [2], [], [2, 2], [4]]
[[4], [], [], [], [4], [2], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [39], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,13. UB Alg: [26, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4], Opt: [20, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4]]
[[4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4]]
[[2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3]]
[[], [2, 4, 4], [2, 2, 2, 3], [2, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 2, 4], [2, 2, 2, 2], [4, 4], [3, 4]]
[[], [2, 2], [4, 4], [4, 4], [3], [2, 2, 2, 2], [4, 4]]
[[4], [4], [4], [4], [2, 3], [2, 4], [2, 4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [3], [4]]
[[4], [4], [4], [4], [4], [2], [2, 2], [2, 3], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [], [4], [2, 2], [3]]
[[], [2, 2], [2, 3], [4], [4], [], [4], [4], [4], [2], [2, 2], [4]]
[[], [], [], [4], [4], [2, 2], [2, 2], [4], [4], [3], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [38], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,13. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4]]
[[4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2]]
[[4], [], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4]]
[[4], [4], [4], [4], [4], [2], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2], [4], [4], [], [4], [2, 2], [4]]
[[], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [2], [2, 2], [4]]
[[], [], [2], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [37], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4]; Results for m' = 2,...,13. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5, 5, 5, 4], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4, 4, 4]]
[[4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3]]
[[], [4, 4], [2, 2, 2, 3], [2, 4, 4], [2, 2, 2, 4]]
[[], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [3, 4]]
[[], [2, 2, 2], [4], [4, 4], [3], [2, 2, 2, 2], [4, 4]]
[[4], [4], [4], [4], [3], [2, 2, 2], [2, 4], [2, 2, 2]]
[[4], [], [2, 2, 2], [4], [2, 2, 2], [4], [4], [3], [2, 4]]
[[4], [], [4], [4], [4], [2, 2], [2, 2], [2, 3], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2], [4], [4], [], [4], [2, 2], [3]]
[[], [2, 2], [2, 3], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [4]]
[[], [], [2], [4], [4], [2, 2], [2, 2], [4], [4], [3], [], [2, 2], [4]]
-EndAllocation

Instance: [[1], [42], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,14. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5, 5, 5, 4], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4]]
[[4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 4], [2, 2, 2, 2, 2, 2]]
[[4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2]]
[[], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2]]
[[], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2], [2, 2]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [2], [4], [4], [4]]
[[], [2, 2], [], [4], [4], [2, 2], [4], [2], [4], [4], [4], [2, 2], [4]]
[[], [4], [4], [], [4], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [4], [2]]
-EndAllocation

Instance: [[1], [41], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,14. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5, 5, 5, 4], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4]]
[[4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4]]
[[4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [3, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2], [2, 2, 2, 2, 3]]
[[4], [4, 4], [2, 2, 2, 2], [3, 4], [4, 4], [2, 2, 2]]
[[], [4], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2]]
[[], [], [4, 4], [2, 2, 3], [4, 4], [2, 2, 2, 2], [2], [4, 4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 3], [4]]
[[4], [4], [3], [4], [2, 4], [], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [2], [4], [4], [2, 2], [4], [2, 2], [4], [3], [2, 2]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [2], [4], [4], [3]]
[[], [2, 2], [], [4], [4], [2, 2], [4], [2], [4], [4], [3], [2, 2], [4]]
[[], [4], [4], [], [4], [2, 2], [4], [], [4], [2, 2], [3], [2, 2], [4], [2]]
-EndAllocation

Instance: [[1], [40], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,14. UB Alg: [26, 18, 13, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [20, 14, 10, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4]]
[[4], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2]]
[[4], [2, 4], [2, 4], [4], [2], [2, 4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [2, 2, 2], [], [4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [], [4]]
[[4], [2, 2], [2, 2], [], [4], [2, 2], [4], [2, 2], [], [4], [], [4], [4]]
[[], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [45], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,15. UB Alg: [30, 20, 16, 12, 10, 9, 8, 6, 6, 6, 5, 5, 5, 4], Opt: [23, 15, 12, 9, 8, 7, 6, 5, 5, 5, 4, 4, 4, 3]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 4], [2, 3, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2], [2, 2, 2, 2, 3, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 3], [4, 4, 4, 4]]
[[], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [3, 4]]
[[], [4, 4], [2, 3], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 4]]
[[], [4, 4], [2, 4], [4, 4], [2, 2, 3], [4, 4], [], [2, 2, 2, 2]]
[[4], [2, 4], [3], [4], [2, 2, 2], [2, 4], [4], [2, 4], [2, 4]]
[[4], [3], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [2], [3], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 3], [2, 2], [2, 2]]
[[3], [2, 2], [4], [4], [], [4], [2], [2, 2], [4], [2, 2], [4], [4], [4]]
[[4], [], [2, 2], [4], [2, 3], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], []]
[[4], [4], [2, 2], [2], [4], [4], [4], [2, 2], [], [4], [], [], [4], [2, 2], [3]]
-EndAllocation

Instance: [[1], [44], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,15. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4]]
[[2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 4], [4, 4]]
[[], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4]]
[[4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 4], [], [4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], []]
[[4], [4], [4], [], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], []]
-EndAllocation

Instance: [[1], [43], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,15. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,15:
-StartAllocation
[[1, 1, 4, 4, 4], [1, 1, 1, 2, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 4, 4, 4, 4], [1, 1, 1, 1, 1, 4, 4, 4]]
[[4], [1, 1, 4, 4, 4], [1, 1, 1, 2, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [1, 1, 1, 1, 1, 4], [2, 4, 4], [4, 4, 4]]
[[4], [1, 1, 1, 1, 1, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4], [4, 4], [4, 4], [2, 4], [4, 4], [1, 1, 1, 1, 1, 4]]
[[], [4, 4], [], [2, 4], [1, 1, 1, 1, 1], [4, 4], [4, 4], [4, 4]]
[[4], [2, 4], [4], [1, 1, 4], [4], [1, 1, 4], [4], [1, 4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [1, 1, 1, 1, 1], [4], [2, 4]]
[[4], [4], [4], [4], [4], [2], [4], [4], [4], [4], [1, 1, 1, 1, 1]]
[[4], [4], [4], [4], [4], [4], [], [4], [1, 1, 1, 1, 1], [4], [2], [4]]
[[4], [4], [4], [2], [1, 1, 1, 1, 1], [4], [], [], [4], [4], [4], [4], [4]]
[[4], [4], [4], [], [], [], [4], [4], [4], [2], [1, 1, 1, 1, 1], [4], [4], [4]]
[[], [4], [2], [4], [4], [4], [4], [4], [1, 1, 1, 1], [4], [4], [], [1], [4], []]
-EndAllocation

Instance: [[1], [48], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,16. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4]]
[[4], [], [4], [], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [], [], [4], [2, 2], [4], [4], [], [], [2, 2], [2, 2], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [47], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,16. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4], [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4]]
[[1, 4], [1, 4, 4, 4, 4, 4], [1, 1, 1, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [1, 1, 1, 1, 1, 2, 4, 4]]
[[], [1, 4, 4, 4], [4, 4, 4], [4, 4, 4], [1, 1, 1, 1, 2, 4]]
[[4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 4]]
[[], [4, 4], [4, 4], [1, 1, 1, 1, 1, 4], [4, 4], [4, 4], [2, 4]]
[[], [1, 1, 1, 1, 1], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [1, 1, 1, 1, 1, 2], [4, 4], []]
[[4], [2, 4], [4], [1, 1, 4], [1, 1, 4], [4], [1, 4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [1, 1, 1, 1, 1], [4], [4], [4], [4], [2, 4]]
[[4], [4], [4], [4], [4], [4], [1, 1, 1, 1, 1], [4], [4], [4], [4], [2]]
[[4], [], [4], [4], [4], [4], [2], [1, 1, 1, 1, 1], [4], [4], [4], [4], [4]]
[[], [4], [4], [], [4], [4], [4], [4], [4], [4], [1, 1, 1, 1, 1], [2], [4], [4]]
[[4], [], [4], [1, 1, 1, 1, 1], [4], [], [2], [4], [], [4], [4], [4], [4], [4], [4]]
[[4], [], [1, 1, 1, 1], [], [4], [4], [4], [4], [1], [4], [], [2], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [46], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,16. UB Alg: [30, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [23, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4]]
[[1, 1, 1, 1], [1, 4, 4, 4, 4, 4], [1, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 4, 4]]
[[], [1, 4, 4, 4], [4, 4, 4], [4, 4, 4], [1, 1, 1, 1, 1, 4]]
[[4], [4, 4], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1, 4]]
[[], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1], [4, 4], [4, 4], [4, 4]]
[[], [1, 1, 1, 1, 1, 1], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [1, 1, 1, 1, 1, 1], [4, 4], []]
[[4], [4], [4], [1, 1, 4], [1, 1, 4], [4], [1, 1, 4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [1, 1, 1, 1, 1, 1], [4], [4], [4], [4], [4]]
[[4], [4], [], [4], [4], [4], [1, 1, 1, 1, 1], [4], [4], [1, 4], [4], [4]]
[[4], [], [4], [4], [4], [4], [], [1, 1, 1, 1, 1], [4], [4], [1, 4], [4], [4]]
[[], [4], [4], [], [4], [4], [], [4], [4], [4], [1, 1, 1, 1, 1], [4], [4], [1, 4]]
[[4], [], [4], [1, 1, 1, 1, 1], [4], [], [4], [4], [], [4], [1, 4], [4], [4], [4], []]
[[4], [], [1, 1, 1, 1], [], [4], [4], [4], [4], [1, 1], [4], [], [], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [51], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,17. UB Alg: [34, 22, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4], Opt: [26, 17, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [2, 2, 2, 3, 4, 4, 4]]
[[2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3]]
[[], [2, 4, 4, 4], [2, 2, 2, 3], [2, 4, 4, 4], [2, 2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2], [4, 4, 4], [3, 4, 4], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 4], [4, 4], [4, 4], [3, 4]]
[[], [4, 4], [2, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 3]]
[[], [4, 4], [3, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4]]
[[], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [3], [4, 4], [4, 4]]
[[4], [4], [2, 3], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [3], [4], [4], [2, 2], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [3], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [3]]
[[4], [4], [4], [2, 2], [2, 2], [4], [], [3], [], [4], [4], [2, 2], [4], [2, 2], [4]]
[[], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [3]]
[[], [4], [], [4], [4], [3], [2, 2], [2, 2], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [4]]
-EndAllocation

Instance: [[1], [50], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,17. UB Alg: [33, 22, 17, 13, 12, 10, 9, 8, 6, 6, 6, 5, 5, 5, 5, 4], Opt: [25, 17, 13, 10, 9, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4]]
[[4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[4], [4, 4, 4], [2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2]]
[[], [4, 4], [4, 4], [4], [2, 2, 2, 2, 2], [2, 2, 2, 4], [2, 4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [4], [4, 4]]
[[4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [2], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2], [4], [4], []]
[[], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [], [4], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [2], [4], [], [2, 2], [4], [], [4]]
[[4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2], [], [4], [2, 2], [], [4], [4], [4], []]
-EndAllocation

Instance: [[1], [49], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,17. UB Alg: [33, 22, 17, 13, 12, 9, 9, 8, 6, 6, 6, 5, 5, 5, 5, 4], Opt: [25, 17, 13, 10, 9, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [3, 4, 4, 4, 4]]
[[], [2, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 3, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4], [2, 2, 2]]
[[4], [4, 4], [3, 4], [2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 4], [4, 4], [2, 2, 2, 3], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [3], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [], [4, 4]]
[[4], [2, 2, 2], [4], [2, 4], [3], [4], [2, 4], [2, 4], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [2, 3], [], [2, 4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [3], [4], [4], [], [4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2], [3], [2, 2], [4], [4], [4], [2, 2], [2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [2, 3], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], []]
[[], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [3], [4], [4], [2], [4], [4], [2, 2]]
[[], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [2], [4], [], [2, 2], [4], [3], [4]]
[[], [4], [4], [2, 2], [4], [3], [2, 2], [2, 2], [2], [], [4], [2, 2], [], [4], [4], [4], []]
-EndAllocation

Instance: [[1], [54], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,18. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[4], [4, 4, 4], [4, 4, 4], [2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2]]
[[], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 4, 4]]
[[], [2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2], [4, 4], [4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 4], [4], [2, 4]]
[[4], [2, 2, 2], [2, 4], [2, 4], [4], [], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [2], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [2], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [], [2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [2, 2], [], [4], [], [4], [2, 2], [4], [2], [4], [], [4], [4], [4]]
[[4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [4], [2], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [53], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,18. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4], [4, 4, 4, 4]]
[[4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [3, 4, 4], [2, 2, 2]]
[[], [2, 2, 2, 3], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 4, 4]]
[[], [4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 3, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [3, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2], [4, 4], [4], [4, 4], [3, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 4], [3], [2, 4]]
[[4], [2, 2, 2], [2, 4], [2, 4], [4], [], [4], [3], [2, 2, 2], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [3]]
[[4], [4], [4], [3], [2, 2], [2, 2], [4], [2], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [2], [3], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [], [2], [2, 2], [4], [], [4], [4], [2, 2], [4], [3], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [2, 2], [], [4], [], [4], [2, 2], [4], [2], [4], [], [4], [4], [3]]
[[], [2], [], [4], [4], [4], [3], [2, 2], [4], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [52], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,18. UB Alg: [34, 24, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [26, 18, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [1, 1, 1, 1, 1, 1, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4]]
[[4], [1, 1, 1, 1, 1, 1, 2, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[4], [4, 4, 4], [1, 1, 1, 1, 1, 1, 2, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [1, 1, 1, 1, 1, 1], [2, 4, 4], [4, 4, 4], [4, 4, 4]]
[[4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1, 2]]
[[], [4, 4], [4], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1, 2], [4, 4]]
[[], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1, 2], [], [4, 4], [4, 4], [4, 4], [4]]
[[], [2, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [1, 1, 1, 1, 1, 1]]
[[4], [1, 1, 4], [1, 1, 4], [4], [4], [4], [1, 1, 4], [4], [2, 4], [4], [4]]
[[4], [2, 4], [4], [4], [4], [1, 1, 1, 1, 1, 1], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [1, 1, 1, 1, 1], [4], [4], [1, 4], [4], [2], [4], [4]]
[[4], [1, 1, 1, 1, 1], [4], [4], [4], [4], [], [4], [4], [1, 4], [4], [4], [2], [4]]
[[4], [4], [1, 4], [4], [1, 1, 1, 1, 1], [4], [2], [], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [4], [4], [1, 1, 1, 1, 1], [2], [], [4], [4], [4], [4], [], [], [4], [1, 4], [4]]
[[4], [4], [4], [1, 1, 1, 1, 1], [], [4], [4], [4], [4], [], [1, 4], [2], [4], [4], [], [], [4]]
[[4], [4], [4], [4], [], [2], [4], [], [4], [1, 1, 1, 1], [1, 1], [], [4], [], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [57], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,19. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4], Opt: [29, 19, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [3, 4, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 4], [4, 4, 4], [4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 3], [], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 3, 4], [4, 4], [4, 4], [2, 2]]
[[], [2, 4], [4, 4], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [3, 4], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 3], [4], [4, 4], [], [2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [4, 4], [], [3, 4], [], [4, 4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 3], [4], [4]]
[[4], [4], [4], [3], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [3], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2], [4], [2, 2], [2, 2], [2, 2], [4], [3], [4], [2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 2], [2, 2], [], [4], [4], [4], [4], [], [4], [2, 3], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [3], [4], [4], [2, 2], [4], [], [2]]
[[4], [2, 2], [], [2, 3], [4], [], [4], [4], [4], [], [], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2]]
[[4], [2, 2], [4], [4], [], [4], [4], [3], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2], [], [], [], [4]]
-EndAllocation

Instance: [[1], [56], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,19. UB Alg: [37, 25, 18, 16, 13, 10, 9, 9, 8, 8, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [28, 19, 14, 12, 10, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,19:
-StartAllocation
[[1, 1, 1, 1, 1, 2, 4, 4, 4], [1, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[1, 1, 4], [1, 1, 1, 2, 4, 4, 4, 4, 4], [1, 4, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 2, 4, 4]]
[[], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4], [1, 1, 1, 1, 1, 1, 2, 4]]
[[4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4, 4], [1, 1, 1, 1, 1, 1, 4]]
[[4], [2, 4], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1], [4, 4], [4, 4]]
[[], [4], [4, 4], [4, 4], [2, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [1, 1, 1, 1, 1, 1], [2], [4, 4], [4, 4]]
[[], [2, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [4], [1, 1, 1, 1, 1, 1]]
[[4], [4], [1, 1, 4], [2, 4], [4], [4], [1, 1, 4], [4], [1, 1, 4], [4], [4], [4]]
[[4], [1, 1, 1, 1], [4], [4], [2, 4], [4], [4], [4], [4], [1, 1, 4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [1, 4], [4], [4], [4], [4], [4], [2], [4], [1, 1, 1, 1, 1]]
[[4], [4], [1, 4], [4], [4], [4], [1, 1, 1, 1, 1], [4], [], [4], [4], [4], [2], [4], [4]]
[[4], [4], [4], [4], [], [4], [4], [4], [4], [4], [2], [4], [4], [1], [4], [1, 1, 1, 1, 1]]
[[4], [4], [], [], [1, 1, 1, 1, 1], [4], [4], [2], [4], [4], [4], [4], [], [4], [1, 4], [4], [4]]
[[2], [], [4], [4], [], [4], [], [], [4], [4], [4], [1, 1, 1, 1, 1], [4], [1, 4], [4], [4], [4], [4]]
[[4], [], [4], [], [], [4], [1, 1], [4], [4], [], [4], [1, 1, 1, 1], [4], [2], [4], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [55], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,19. UB Alg: [37, 25, 18, 14, 13, 10, 9, 9, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [28, 19, 14, 11, 10, 8, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [3, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [2, 4, 4, 4, 4]]
[[], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4], [2, 3, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 4], [3, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 4], [], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 3], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[4], [2, 2, 2], [2, 4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 4], [2, 3]]
[[], [2, 4], [4], [4], [4], [4], [2, 3], [4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [], [2, 4], [4], [4], [3], [4], [4], [2, 2, 2], [4], [4]]
[[4], [3], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [3], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4]]
[[], [4], [4], [4], [2, 2], [2, 2], [3], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2]]
[[], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [3], [4], [4], [4], [], [2, 2], [4], [2, 2]]
[[2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2], [], [4], [2, 2], [], [2, 3], [4], [2, 2], [4], []]
[[], [4], [2, 2], [], [3], [4], [4], [2, 2], [4], [], [], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
-EndAllocation

Instance: [[1], [60], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,20. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], []]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4], [2, 2, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[4], [2, 4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4]]
[[4], [4], [4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], []]
[[], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [], [], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [4], [2, 2]]
[[4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [4], [], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [59], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,20. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [3, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 3, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [3, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [3], [2, 2, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [3], [2, 2, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [2, 2, 3], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4], [], [4, 4]]
[[4], [2, 4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [3], [4], [2, 2, 2], [4], [2, 4]]
[[4], [2, 4], [4], [2, 3], [4], [], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [], [4], [4], [4], [4], [4], [4], [3]]
[[4], [4], [2, 2], [3], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2], [4], [4], [4], [2, 2], [4], [4], [2, 3], []]
[[], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [3], [4], [4], [4], [4], [2, 2]]
[[4], [], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [3]]
[[4], [4], [4], [2, 2], [], [], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [3], [4], [4], [], [4], [2, 2]]
[[4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [3], [4], [4], [], [4], [4], [], [2, 2], [], []]
-EndAllocation

Instance: [[1], [58], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,20. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [29, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], []]
[[], [4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 4], [2, 2, 2, 2], [2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4], [], [4, 4]]
[[4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [], [4], [4], [4], [], [4], [2, 4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2], [4], [4], [4], [2, 2], [4], [4], [2, 2], []]
[[], [2], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [], [2, 2], [], [2, 2], [2], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [2], [], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [], [4], [2, 2]]
[[4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [2], [4], [4], [], [2, 2], [], []]
-EndAllocation

Instance: [[1], [63], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,21. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [32, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [3, 4, 4], [2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [3]]
[[4], [4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], []]
[[], [], [3], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4], [2, 2, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [2, 2], [4, 4], [2, 2, 2, 2], [3], [4, 4]]
[[4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 3], [4], [4]]
[[4], [2, 2, 2], [4], [2, 3], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 4], [], [4], [], [2, 3], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [3], [4], [4], [2, 2], [2, 2], [4]]
[[3], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [2], [2, 2], [4], [2, 3], [], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2]]
[[3], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2]]
[[4], [], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [2, 2], [], [2, 2], [3], [2, 2]]
[[], [4], [3], [], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [4], [4], [4]]
-EndAllocation

Instance: [[1], [62], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,21. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4]]
[[], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2]]
[[4], [2, 4], [], [2, 4], [], [2, 4], [], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2], [4], [4], [2, 2], [2, 2], [4]]
[[], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [2], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [2], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2]]
[[4], [2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [2, 2], [], [2, 2], [], [2, 2]]
[[], [4], [], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [2], [4], [4]]
-EndAllocation

Instance: [[1], [61], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,21. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 3, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [3, 4, 4], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [3]]
[[], [2, 4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [4, 4], [2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 3], []]
[[], [], [3], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4], [], [4, 4], [], [2, 2, 2], [4, 4], [2, 2, 2, 2], [3], [4, 4]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 3], [4], [4]]
[[4], [2, 2, 2], [2, 4], [2, 3], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [4], [2, 2, 2]]
[[4], [2, 4], [], [2, 4], [], [2, 3], [], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [2, 3], [4], [4], [2, 2], [2, 2], [4]]
[[3], [4], [4], [2, 2], [4], [2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 3], [], [4], [4], [], [2, 2], [], [4], [4], [4], [2, 2]]
[[3], [4], [2, 2], [4], [2, 2], [2], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2]]
[[4], [2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [], [2, 2], [], [2, 2], [3], [2, 2]]
[[], [4], [3], [], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [2], [4], [4]]
-EndAllocation

Instance: [[1], [66], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,22. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4], [4, 4, 4]]
[[], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4], [4, 4], [4, 4]]
[[4], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [], [4], [2, 4], [4], [4], [4], [2, 4], [2, 2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2], [4], [4], [2, 2], [4], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4]]
[[], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4]]
[[], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [], [4], [2, 2], [4], [4], [2, 2], [2], [4], [4], [4], [4]]
[[4], [], [2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [4], [], [4]]
[[], [2, 2], [4], [], [], [2], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
-EndAllocation

Instance: [[1], [65], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,22. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 3, 4, 4, 4]]
[[4], [2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [3, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4], [4, 4, 4], [3]]
[[], [4, 4], [4, 4], [2, 2, 2, 3], [2, 2, 4], [2, 4, 4], [4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4], [], [4, 4]]
[[], [4, 4], [2, 2, 2], [3], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [3], [2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4]]
[[4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [4], [2, 4], [2, 4], [3]]
[[4], [4], [2, 3], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [2, 2, 2], [4], [3], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2]]
[[4], [3], [4], [2, 2, 2], [], [4], [2, 4], [], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [3], [4], [2, 2], [2, 2], [4], [2], [4], [4], [2, 2]]
[[4], [4], [4], [4], [], [2, 2], [], [2, 2], [2, 2], [4], [2, 3], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 3], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [], [4], [4], [4], [], [4], [2, 2], [4], [4], [4]]
[[4], [], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [2, 2], [], [4], [4], [4], [4], [2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [], [3], [4], [4], [], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [2], [4]]
[[4], [4], [4], [2, 2], [3], [4], [], [], [4], [4], [4], [4], [2, 2], [2, 2], [2], [2, 2], [4], [2, 2], [], [], [], [4]]
-EndAllocation

Instance: [[1], [64], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,22. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[4], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [], [2, 4, 4], [2, 4, 4], [2, 4, 4], [2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4]]
[[4], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [], [2, 2]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [2, 2], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], []]
[[4], [], [4], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [], [], [4], [2, 2], [4], [2, 2]]
-EndAllocation

Instance: [[1], [69], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,23. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4, 4], [3, 4, 4, 4]]
[[], [2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2], [3], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 3, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4], [4]]
[[], [2, 2, 2, 2], [], [3, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4]]
[[], [3], [4, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], []]
[[4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 3], [4], [4], [4], [2, 4]]
[[4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [3], [4], [2, 2, 2], [4], [2, 4]]
[[4], [4], [3], [4], [2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [], [4], [3], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 3], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [3], [2, 2], [2, 2], [4], [4], [2]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [], [2, 2], [4], [2], [4], [3], [4], [2, 2], [4], [4]]
[[4], [4], [2], [4], [], [2, 2], [4], [], [], [4], [2, 2], [4], [3], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2]]
[[], [2], [], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [2, 2], [3], [4], [4], [2, 2], [4], [], [4], [4]]
[[3], [4], [2, 2], [2], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [], [], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [68], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,23. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[4], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4]]
[[], [4, 4, 4], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[], [2, 4], [2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2], [], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4]]
[[], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4]]
[[4], [4], [4], [], [4], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [], [], [4], [4]]
[[4], [4], [4], [], [2, 2], [4], [], [4], [2, 2], [4], [], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4]]
[[4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [4], [], [4], []]
-EndAllocation

Instance: [[1], [67], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,23. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[3], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [3], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [3, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4], [3, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [3], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [], [3, 4], [2, 2, 2, 2], [4, 4], []]
[[4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [3], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[], [2, 3], [2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4]]
[[], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 3], [2, 2, 2], [], [2, 4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [3], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [3], [4]]
[[4], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [3], [2, 2], [4]]
[[], [2], [2, 2], [2, 2], [4], [], [4], [2, 3], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4]]
[[4], [], [4], [3], [4], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [], [], [4], [4]]
[[4], [3], [4], [], [2, 2], [4], [], [4], [2, 2], [4], [], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4]]
[[4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [2, 2], [3], [4], [4], [2, 2], [4], [], [], [4], [], [4], []]
-EndAllocation

Instance: [[1], [72], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,24. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], []]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], []]
[[4], [4], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [], [4], [2, 2]]
[[4], [], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [], [4]]
[[], [4], [], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [4]]
[[4], [4], [], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [4], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
-EndAllocation

Instance: [[1], [71], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,24. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [3, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 4], [3, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 4], [4, 4]]
[[4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 4], [4, 4], [], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [], [4, 4], [2, 2, 2, 2], [2, 2], [4], [4, 4], [2, 2, 3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2], [], []]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [], [3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 3], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [3], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 2, 2], [4], [3], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [3], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [3], [4], [4], [2, 2], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [4], [2], [2, 3], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], []]
[[4], [4], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2], [2, 3], [4], [], [4], [4], [4], [], [4], [2, 2]]
[[4], [], [2, 2], [2, 2], [], [2, 2], [], [4], [2, 3], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2], [4]]
[[], [4], [3], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], []]
[[4], [4], [], [2, 2], [2, 2], [], [2, 2], [4], [3], [4], [], [4], [], [4], [4], [4], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
-EndAllocation

Instance: [[1], [70], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,24. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[2, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 4], [], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [2, 2], [4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [], [], [2], [2, 4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2], [2, 2], [4], [4], [4], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [2], [2, 2], [4]]
[[], [4], [4], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [2], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [4], [2], [2, 2], [4], [], [], [], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4]]
[[], [2, 2], [2, 2], [2], [4], [], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [], [2, 2], [2, 2]]
[[], [2], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [75], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,25. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4], [2, 2, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 3, 4, 4, 4], [4, 4, 4], [2, 2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3]]
[[], [], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 4], [2, 4, 4], [2, 3, 4]]
[[], [2, 2, 2, 2], [4], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [3], [], [4, 4], [4, 4]]
[[], [], [3], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [4], [2, 4], [3], [2, 4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [3], [4], [2, 4], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 3], [4], [4], [4], [], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [3], [4], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2], [4], [2, 3]]
[[4], [2, 2], [4], [2, 2], [2, 3], [4], [], [4], [4], [2, 2], [2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4]]
[[], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 3], [4], [2, 2], [2, 2], [2, 2], [2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2], [], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 3], [4]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [], [], [4], [], [4], [2, 2], [4], [3], [], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2]]
[[4], [], [], [], [4], [4], [], [3], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2]]
[[], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [], [3], [4], [], [], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [74], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,25. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2]]
[[], [], [2, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2], [2, 4, 4], [2, 4, 4]]
[[], [2, 2, 2, 2], [2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2], [], [4, 4], [4, 4]]
[[], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4], [2, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [2], [2, 4], [4], [2, 4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [], [4], [2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2], [4]]
[[4], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4]]
[[], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2], [], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [], [], [4], [], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [2], [2, 2]]
[[4], [], [2], [], [4], [4], [], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2]]
[[], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [], [], [], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [73], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,25. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 3, 4, 4, 4], [4, 4], [2, 2, 2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2], [2, 3]]
[[], [], [2, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2], [2, 4, 4], [2, 3, 4]]
[[], [2, 2, 2, 2], [2], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [3], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 3], [], [4], [4, 4]]
[[], [], [3], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [2], [2, 4], [3], [2, 4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [3], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 3], [], [4], [4], [], [4], [2, 2, 2], [2, 4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [3], [], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 3]]
[[4], [2, 2], [4], [2, 2], [2, 3], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4]]
[[], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 3], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 3], [4]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [], [], [4], [], [4], [2, 2], [4], [3], [], [4], [4], [4], [2, 2], [4], [4], [2], [2, 2]]
[[4], [], [2], [], [4], [4], [], [3], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2]]
[[], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2], [4], [4], [2, 2], [4], [4], [2, 2], [], [3], [], [], [], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [78], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,26. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [2, 4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [2], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4]]
[[], [4], [4], [4], [4], [2, 2, 2], [2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2], [4], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2]]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2], [4], [], [2, 2], [4], [], [2, 2], [], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [4]]
[[4], [2, 2], [4], [], [], [2], [], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[4], [], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [2], [4], [], [4], [], [2, 2], [2, 2], [4], [4], [], [4], []]
-EndAllocation

Instance: [[1], [77], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,26. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4]]
[[3], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [3, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 3], [2, 4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2], [2, 2, 2, 3], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [2, 3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [3], [4, 4], [2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [4], [2, 2, 2, 2], [], [3], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [3], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[4], [4], [4], [4], [2, 4], [4], [2, 4], [3], [4], [2, 4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [3], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4]]
[[], [4], [4], [4], [4], [2, 2, 2], [2, 2], [4], [2, 4], [4], [4], [2, 3], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 2, 2], [2, 2, 2], [4], [], [3], [4], [4], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2], [3], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2], [], [4], [4], [2, 2], [4], [4], [3], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [2, 3], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], []]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2], [3], [], [2, 2], [4], [], [2, 2], [], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [], [3], [2, 2], [4], [2], [2, 2], [], [2, 2], [2, 2], [2, 2], [4]]
[[], [2, 2], [4], [], [], [2, 2], [], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 3], [4], [4], [4], [2, 2]]
[[4], [], [3], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [2], [4], [], [4], [], [2, 2], [2, 2], [4], [4], [], [4], []]
-EndAllocation

Instance: [[1], [76], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,26. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 2, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2]]
[[], [4, 4], [], [4], [2, 2, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [], [2, 2], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [2, 2]]
[[4], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [], [4], [], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [2, 2], [], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [4], [], [2, 2], [], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4]]
[[], [4], [4], [4], [4], [4], [], [2, 2], [], [4], [4], [], [], [4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [4]]
[[], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [], [], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4]]
-EndAllocation

Instance: [[1], [81], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,27. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4], [3, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 3]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 3], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [2, 3, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4], [4, 4], [2, 2], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [3, 4], [], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [3, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2]]
[[], [], [2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2]]
[[], [4], [2, 2, 2, 2], [3, 4], [], [], [], [], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 3], [4]]
[[4], [4], [3], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[], [2, 2, 2], [4], [2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [3]]
[[4], [4], [4], [2, 4], [2, 2, 2], [4], [], [4], [4], [3], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [], [4], [4]]
[[4], [2, 2], [3], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [3], [2], [4], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], [], [2, 3], [2, 2], [4], [4], [], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 3], [], [4], [4], [], [4], [], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4]]
[[4], [4], [], [4], [3], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [2], [], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [3], [], [2], [], [2, 2], [4], [2, 2], [4], [4]]
[[], [], [4], [], [2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [3], [], [], [4], [2, 2]]
-EndAllocation

Instance: [[1], [80], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,27. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 4, 4], [], [4, 4], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [4]]
[[4], [], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [], [4], [2, 2, 2], [2, 4], [2, 4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [], [4], [2, 2]]
[[4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [], [2, 2]]
[[4], [2, 2], [], [4], [2, 2], [], [2, 2], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [2, 2], [4], [], [4], [2, 2], []]
[[4], [], [], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [], [4], [4], [2, 2], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [79], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,27. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [3], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 3], [2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [3, 4, 4], [2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2], [3, 4]]
[[], [2, 4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 3]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 4], [2, 2, 2, 2], [2, 3, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [], [4, 4], [3, 4], [4, 4], [4], [4, 4], [2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [3, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [3]]
[[4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [3]]
[[4], [], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [3], [4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [3], [2, 2, 2], [4], [4], [4], [4], [], [4], [], [4], [2, 2, 2], [2, 4], [2, 4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [3], [4], [2, 2]]
[[4], [4], [4], [2, 3], [4], [2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [2], [4], [4], [4], [4], [2, 2], [2, 3]]
[[], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [3], [4], [2, 2], [], [4], [2, 2]]
[[4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [3], [4], [], [2, 2]]
[[4], [2, 2], [], [4], [2, 2], [], [2, 2], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [3], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [2, 2], [3], [], [4], [2, 2], []]
[[4], [], [], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [3], [], [], [4], [4], [2, 2], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [84], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,28. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,28:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2], [4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4], []]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2]]
[[], [], [2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [4], [2, 4], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [], [4], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4]]
[[], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2]]
[[], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [], [4], [4], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [2, 2]]
[[4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [4], [], [], [4], [2, 2], [2, 2]]
[[], [4], [2, 2], [4], [4], [], [], [2, 2], [4], [], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [4]]
-EndAllocation

Instance: [[1], [83], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,28. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,28:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 3, 4, 4, 4], [2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2], [3, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 3], [2, 2, 2, 2], [4]]
[[], [4, 4], [4, 4], [4, 4], [3, 4], [], [2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4], []]
[[], [4, 4], [], [4, 4], [2, 2, 3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2]]
[[], [], [2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [4, 4], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [2, 4], [2, 3], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 3], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [4], [2, 4], [], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 3], [2, 2], [4]]
[[4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [3], [4], [4], [], [], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [3], [2, 2], [4]]
[[], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 3], [2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [3], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [3], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2]]
[[], [4], [2, 3], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2], [], [], [4], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [3], [2, 2], [4], [], [4], [], [2, 2]]
[[4], [], [4], [4], [2, 2], [2, 2], [2, 2], [3], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [4], [], [], [4], [2, 2], [2, 2]]
[[], [4], [2, 2], [], [4], [], [], [2, 2], [4], [3], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [4]]
-EndAllocation

Instance: [[1], [82], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,28. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,28:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4], []]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2]]
[[], [], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [4], [2, 4], [], [4], [2, 2, 2], [], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4]]
[[4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [], [4], [4], [], [], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2]]
[[], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2], [], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2]]
[[], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2], [], [], [4], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [2], [2, 2]]
[[4], [], [4], [2], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [4], [], [], [4], [2, 2], [2, 2]]
[[], [4], [2, 2], [4], [4], [], [], [2, 2], [4], [], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [2]]
-EndAllocation

Instance: [[1], [87], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,29. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4], [3, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4]]
[[], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[4], [3, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 3]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [3], [2, 2, 2, 2], [4, 4], [2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 3]]
[[], [2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4], [], [], [2, 2, 2, 2], [3, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 4], [3], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [2, 2], [4], [2, 3], [], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 4], [4]]
[[4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [], [4], [4], [2, 4], [4], [3], [2, 4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [3], [4], [2, 2], [2, 2, 2], [], [], [4], [2, 4]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4]]
[[4], [4], [4], [2, 2], [3], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [3], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [], [], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [3], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [], [2, 2], [2, 2], [4], [3], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [], [4], [2, 2], [2, 2], [3]]
[[4], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [], [4], [], [4], [3], [], [4], [4], [4], [4]]
[[4], [2, 2], [], [2, 2], [2, 2], [2, 2], [3], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], []]
-EndAllocation

Instance: [[1], [86], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,29. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2], [2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [2, 4], [], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [], [4], [2, 4], [4]]
[[4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [], [4], [2, 4], [2, 4], [], [4], [2, 4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [], [], [4], [2, 4]]
[[4], [4], [2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [2]]
[[4], [4], [2, 2], [], [], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [], [2, 2], [2, 2], [2], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [4], [2], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [], [4], [2, 2], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [], [4], [], [2], [4], [], [4], [4], [4], [4]]
[[4], [2, 2], [], [2, 2], [2, 2], [2, 2], [2], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], []]
-EndAllocation

Instance: [[1], [85], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,29. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4]]
[[], [2, 3, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [3, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4], [2, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 3]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4], [4, 4, 4], [3], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [], [2, 2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [3], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [3, 4], [4, 4], []]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [3, 4], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4], [4, 4], [4, 4], [3], [2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[4], [4], [3], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [3], [2, 4], [2, 2, 2], [4]]
[[4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [3], [2, 2, 2], [2, 2, 2], [2, 2], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [3], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2, 2], [], [3], [4], [], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4]]
[[4], [2, 2], [2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [3], [2, 2], [4], [2, 2]]
[[3], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2], [4], [2, 2], [2, 2], [4], [], [2, 2], [4]]
[[4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 3], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [4]]
[[], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [4], [4], [2, 2], [2, 3], [2, 2], [4], []]
[[4], [2, 2], [], [2], [4], [4], [3], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [2, 2]]
[[4], [2, 2], [], [3], [2, 2], [4], [2, 2], [4], [], [], [4], [4], [], [4], [2], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [3], [], [4], [4], [], [4], [4], [4], [], [], [2, 2], [2], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4]]
[[], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [], [4], [2, 2], [3], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [], [4], [4], [], [2], [2, 2], []]
-EndAllocation

Instance: [[1], [90], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,30. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4]]
[[], [], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [], []]
[[], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2, 2], [], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [], [4], [2, 2, 2], [], [4]]
[[4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2]]
[[4], [2], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2]]
[[4], [4], [4], [], [2, 2], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2], [4], [], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2]]
[[4], [4], [], [4], [], [4], [2, 2], [2], [4], [4], [4], [], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2], [], [4], [4], [4], [], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [4]]
[[4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [4], [2], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [], [4], []]
-EndAllocation

Instance: [[1], [89], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,30. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [3], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2], [3, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [], [3, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [3, 4], [4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [3, 4], [4, 4], [4]]
[[], [], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [3, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [3, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [], []]
[[], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [3, 4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [3], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 3], [2, 2, 2], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [3], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2], [3], [4], [2, 2, 2], [], [4], [4]]
[[4], [2, 4], [2, 3], [4], [4], [4], [4], [], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [], [4], [2, 2, 2], [], [4]]
[[4], [2, 3], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2]]
[[4], [2], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [3], [2, 2], [2, 2], [2, 2]]
[[4], [4], [4], [], [2, 2], [], [4], [3], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2], [2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2], [4], [], [4], [4], [4], [4], [], [2, 2], [3], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [3], [2]]
[[], [4], [], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 3], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [2, 2], [4], [2], [3], [4], [4], [4], [], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [4]]
[[4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [3], [2], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [], [4], []]
-EndAllocation

Instance: [[1], [88], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,30. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4]]
[[], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 2, 2], [2, 4, 4], [4, 4]]
[[], [], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [], [4, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2], [2, 4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4]]
[[], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [], [4], [4], [], [4], [4], [2, 4], [2, 4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [], [4], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], []]
[[], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [4], [], [4], [4]]
[[4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [], [4], [4], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], []]
[[4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [], [], [2, 2], [], [4], [4], [4], [2, 2], [], [], [4]]
[[4], [4], [4], [2, 2], [4], [], [4], [], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [2, 2], [], [2, 2], [4], [4], [4]]
-EndAllocation

Instance: [[1], [93], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,31. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2], [2, 4, 4, 4, 4], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4], [3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2]]
[[], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [3, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [3, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [3, 4], [4, 4], [4, 4], [2, 2, 2]]
[[], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [3]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [2, 2, 3], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [3, 4], [4, 4], [], [4, 4], [4, 4], [], [], [2, 2, 2]]
[[], [], [4, 4], [4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [3]]
[[4], [2, 4], [2, 4], [3], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [2, 4], [], [2, 2, 2], [2, 4], [2, 4], [2, 4]]
[[4], [4], [2, 2, 2], [3], [2, 2, 2], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [], [4], [2, 3], [4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [3], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [2, 2, 2], [4], [3], [2, 4], [2, 4], [2, 4], [4], [4], [], [2, 4], [2, 2, 2], [4], [], [4], [2, 2], [4], [2, 2, 2], [4], [4], [4], [], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2], [3], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [3], [4], [4], [2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [3], [4], [], [2, 2], [4], [2, 2], [2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [], [4]]
[[4], [2, 2], [3], [2, 2], [4], [], [], [4], [2, 2], [4], [2], [4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [4], [2, 3], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], []]
[[4], [4], [], [4], [], [4], [2, 3], [], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [], [], [], [4], [2, 2], [2, 2], [4], [2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [3], [], [4]]
[[4], [4], [2, 2], [4], [4], [], [], [2], [2, 2], [], [4], [4], [3], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], []]
-EndAllocation

Instance: [[1], [92], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,31. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4], [4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [], [2, 4, 4, 4]]
[[], [2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2]]
[[], [], [4, 4, 4], [], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4, 4]]
[[], [2, 4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4]]
[[], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], []]
[[], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], []]
[[4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [2, 4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], []]
[[], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [2, 2], [], [4]]
[[4], [4], [], [], [4], [4], [2, 2], [4], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [], [], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2]]
[[], [], [4], [4], [4], [], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [91], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,31. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [2, 4, 4, 4], [2, 4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 3], [], [2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 3]]
[[], [3], [4, 4, 4], [], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 3, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2]]
[[], [4, 4], [3, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 3], [4, 4], [4, 4], [2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [3], [2, 2, 2, 2], []]
[[], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [3], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [4, 4], [], [4], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], []]
[[4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [3], [4], [2, 2, 2], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [3], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [2, 3], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [4], [3], [2, 4], [4], [4]]
[[4], [2, 2], [2, 3], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [4], [4], [2, 2], [2], [4], [4], [4], [2, 2], [4], [2, 3], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [3], [4]]
[[4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2], [2, 3]]
[[4], [2, 2], [], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [2], [4], [4], [4], [], [4], [2, 2], [4], [2, 2], [4], [2, 3]]
[[3], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [], [4], []]
[[], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [2, 2], [], [3]]
[[4], [2, 3], [], [], [4], [4], [2, 2], [4], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [], [], [4], [4], [4], [4], [2, 2], [2, 2], [2]]
[[3], [], [4], [4], [], [], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [96], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,32. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], []]
[[], [4, 4], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4]]
[[4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4]]
[[4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4]]
[[4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4]]
[[], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2]]
[[4], [4], [], [], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [4], []]
[[4], [], [4], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [4]]
[[4], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [], []]
[[4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [], [4], [2, 2], [4], [], [4], [4], [4], [], [], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [4], [], [], [4], [2, 2], [2, 2], [4], [4], [], [], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [95], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,32. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,32:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4]]
[[], [2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [], [2, 3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [3, 4, 4], [4], [4, 4, 4]]
[[], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 3], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [], [2, 2, 3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], []]
[[], [2, 2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 3], [4, 4], [], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [3], [4, 4], [], [2, 2, 2, 2], [4, 4], [4], [4, 4]]
[[4], [4], [2, 4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 3], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 3], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 3], [4], [4]]
[[4], [4], [], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 3], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2]]
[[4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [], [], [2, 2], [], [3], [2, 2, 2], [4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 3], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4]]
[[], [4], [2, 2], [4], [4], [2, 3], [4], [4], [4], [4], [4], [2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 3], [], [4], [2, 2], [2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2]]
[[], [], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [3], [4], [4], [4], [4], [2, 2]]
[[], [4], [2, 2], [], [4], [4], [], [2, 2], [2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 3], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [4]]
[[4], [4], [4], [], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [], [], [2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 3]]
[[4], [], [4], [4], [], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [3], [4]]
[[4], [4], [4], [4], [2, 2], [2], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [], [2, 3], [4], [], [2, 2], [], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [2, 2], [], [], [], [4], [], [2, 2], [], [3], [2, 2], [4], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [94], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,32. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,32:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4]]
[[], [2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [4], [2, 2, 2], [2, 2, 2, 2, 2], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4], [4, 4]]
[[], [2, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 4], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], []]
[[], [2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4], [4, 4]]
[[4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2]]
[[], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2]]
[[], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [], [], [2, 2, 2], [], [4], [2, 2, 2], [4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4]]
[[], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2]]
[[], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [2], [4], [4], [2, 2]]
[[], [4], [2, 2], [], [4], [4], [], [2, 2], [2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [4]]
[[4], [4], [4], [], [], [2, 2], [2, 2], [2], [], [2, 2], [4], [], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [], [4], [4], [], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2], [4], [2, 2], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [2], [], [4], [4], [2, 2], [2, 2], [], [2, 2], [], [], [], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [2, 2]]
-EndAllocation

Instance: [[1], [99], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,33. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4]]
[[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4]]
[[], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [4, 4, 4, 4]]
[[], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 3, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 3], [2, 4, 4], [4, 4], [], [2, 4, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [2, 2, 2, 2], [], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2]]
[[], [3, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], [4, 4], [], [], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[], [4, 4], [4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [], [4, 4]]
[[4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [3], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [3]]
[[4], [2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 3], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [2], [4], [3], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [3], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [3], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [3], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [], [3], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [2], [4], [4], [4], [2, 2], [2, 3], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4], [4]]
[[4], [], [4], [2, 2], [4], [3], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [], []]
[[4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2], [2, 2], [4], [2, 3], []]
[[4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [], [3], [], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], []]
[[4], [4], [2, 2], [2, 2], [4], [4], [3], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [], [], [2, 2]]
-EndAllocation

Instance: [[1], [98], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,33. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [], [2, 4, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [4, 4]]
[[], [4, 4], [2, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[], [4, 4], [4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [2, 2], [], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4], [4]]
[[4], [], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [], [4], [4], [2], []]
[[4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2], [4], [4], [], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [4], []]
[[4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [], [4], [], [4], [2], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], []]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [2], [4], [], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [], [], [2, 2]]
-EndAllocation

Instance: [[1], [97], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,33. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4]]
[[], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 3], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 3], [2, 4, 4], [4, 4], [], [2, 4, 4], [2, 2, 2, 4], [2, 4, 4], [2, 4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [3, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [4, 4]]
[[], [4, 4], [2, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2]]
[[], [3, 4], [4, 4], [2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 4], [], [], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[], [4, 4], [4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [3], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [3]]
[[4], [2, 2, 2], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 3], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [2, 2], [], [3], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [3], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 3], [], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4], [2, 2], [4], [4], [2, 2], [2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [3], [4], [4], [2, 2], [4], [], [4], [2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [], [3], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2]]
[[4], [4], [4], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 3], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4], [4]]
[[4], [], [4], [2, 2], [4], [3], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [], [4], [4], [2], []]
[[4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 3], []]
[[4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [], [3], [], [4], [2], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], []]
[[4], [4], [2, 2], [2, 2], [4], [4], [3], [4], [], [4], [4], [2, 2], [4], [2], [4], [], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [], [], [2, 2]]
-EndAllocation

Instance: [[1], [102], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,34. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4], [2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [2], [4, 4], [4, 4], [4, 4]]
[[], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 4], [], [4, 4], [4, 4]]
[[], [2, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [], [4, 4], [4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4]]
[[4], [], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [4], [2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4]]
[[4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], []]
[[4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [], [2], [4], [4], [4], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [2, 2], [4], [2], [4], [4], [], [4], [2, 2], [], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [4], [], [], [2], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [], [2], [], [2, 2], [4], [4], [], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [], [4]]
[[], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [2, 2], [2], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [101], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,34. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [3, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 3, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [], [3, 4, 4], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [3], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [2, 3], [4, 4], [4, 4], [4, 4]]
[[], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 4], [], [3, 4], [4, 4]]
[[], [2, 3], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [], [4, 4], [3], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 4], [4], [3], [2, 4], [4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [3]]
[[4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [3], [4]]
[[4], [], [4], [4], [3], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [4], [3], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 3], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4], [4], [3], [2, 2], [2, 2], [], [4]]
[[4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [], [4], [2, 2], [4], [4], [2, 3], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [3], [2, 2], [4], [4], [2, 2], [4], [4], [2], []]
[[4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [3], [4], [2, 2], [], [], [], [2], [4], [4], [4], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [2, 2], [4], [2], [4], [4], [], [4], [2, 2], [], [3], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [], [2, 3], [4], [4], [4], [2, 2], [], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [4], [], [], [2, 2], [4], [], [4], [2, 2]]
[[4], [4], [4], [], [], [2], [], [2, 2], [4], [4], [3], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [], [4]]
[[], [4], [], [2, 2], [3], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [2], [2, 2], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [100], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,34. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4]]
[[], [4, 4], [2, 2, 2, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [2, 2, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2], [4, 4], [4, 4], [], [4, 4], [], []]
[[4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4]]
[[], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4]]
[[4], [2, 4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [], [2, 4], [4], [4], [], [4], [4]]
[[4], [], [], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[], [4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2]]
[[], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [], [], [2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [], [2, 2], [2, 2], [], [], [2, 2], []]
[[], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [], [4]]
[[4], [2, 2], [2, 2], [4], [], [], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [4], [], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], []]
[[4], [], [], [4], [4], [2, 2], [], [], [4], [2, 2], [], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [], [4], []]
-EndAllocation

Instance: [[1], [105], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,35. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [3, 4, 4, 4]]
[[], [2, 3], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4]]
[[], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [3, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4, 4], [], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4], [4, 4], [4, 4], [2, 2, 4], [2, 2, 2, 2, 2], [3, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 3, 4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4], [], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 3]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [3], []]
[[], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [4], [4], [4], [2, 4], [3], [4], [2, 4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 4]]
[[4], [4], [2, 4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [3], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [3], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [3], [], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4], [4], [], [3]]
[[4], [2, 2, 2], [4], [4], [], [4], [4], [2, 2, 2], [4], [], [4], [3], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 3], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 3], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 3], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4]]
[[3], [], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [3], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [2], [4], [2, 2], [4], [2, 2], [], [2, 2], [], [4], [4]]
[[4], [2, 2], [4], [], [], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 3], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [3], [4], [4], [], [2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [4]]
[[4], [], [2, 2], [2], [4], [4], [4], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [], [], [4], [4], [4], [3], [2, 2], [4]]
[[4], [2, 2], [4], [], [4], [], [], [4], [4], [], [2, 2], [4], [4], [], [3], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2], [4], [2, 2], [], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4]]
-EndAllocation

Instance: [[1], [104], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,35. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [4, 4, 4, 4], [2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2, 2], []]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [2, 2], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4], [], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 4], [4, 4], [4, 4], [], [4, 4], [], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [4]]
[[4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2], [], [4], [2, 4], [4], [4], [4], [4]]
[[4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [4], [4], [2, 4], [4], [], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2]]
[[], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4]]
[[4], [4], [4], [], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [], [4]]
[[4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [], [], [4], [2, 2], [4], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [], [4], [], [2, 2], [], [], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [], [4], [], [2, 2], [2, 2], [], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [], [4]]
-EndAllocation

Instance: [[1], [103], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,35. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,35:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 3]]
[[], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2, 2]]
[[], [3, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [3, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 3, 4], [2, 2, 2], [2, 2, 4]]
[[], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2, 2], []]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], []]
[[], [], [3, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [3, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4], [], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 4], [4, 4], [4, 4], [], [4, 4], [], [], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [3, 4]]
[[4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 4], [2, 3], [4], [2, 2, 2], [4], [4]]
[[4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [3], [4], [4], [4]]
[[4], [4], [2, 3], [2, 2, 2], [4], [4], [2, 4], [], [2, 2, 2], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [2, 4], [4], [4], [4], [2, 4]]
[[4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [3], [4], [4], [4], [2, 4], [4], [], [4], [4], [4]]
[[4], [4], [3], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [3], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [], [2, 2], [3], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [3], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [3], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [], [2, 2]]
[[3], [2, 2], [2, 2], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2]]
[[], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 3], [], [4], [4], [2], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4]]
[[4], [4], [4], [], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 3], [4], [4], [], [2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [], []]
[[4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [], [], [4], [2, 2], [4], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [2, 2], [3], [4]]
[[4], [], [4], [], [2, 2], [], [], [3], [2, 2], [], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [], [], [], [2, 2], [2, 2], [3], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [], [4]]
-EndAllocation

Instance: [[1], [108], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,36. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], []]
[[], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [4, 4]]
[[], [2, 2, 2, 2, 2], [4], [4, 4], [4, 4], [2, 2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4], [], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 4], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2]]
[[], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [4], [], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4]]
[[], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4]]
[[4], [], [4], [2, 2], [], [2, 2], [2, 2], [], [], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], [2, 2]]
[[], [], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [4]]
[[], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [], [], [], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4]]
-EndAllocation

Instance: [[1], [107], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,36. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4], [2, 2, 3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4, 4], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [3], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], []]
[[], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [3, 4]]
[[], [2, 2, 2, 2, 2], [3], [4, 4], [4, 4], [2, 2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2]]
[[], [3, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [3], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [2, 2], [], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [3], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [3], [2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [3], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 4], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 3], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 3], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 3], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2], [2, 2, 2], [4], [], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 3], [4], [2, 2, 2], [2, 2, 2]]
[[], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [3]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 3], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 3], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 3], [4], [2], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 3], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [4], [], [4], [], [3], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [2, 3], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2], [], [4], [4], [4], [4]]
[[], [3], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4]]
[[4], [], [4], [2, 2], [], [2, 2], [2, 2], [], [], [], [4], [4], [4], [2, 3], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2], [4], [4], [4], [2, 2], [], [4], [2, 2], [2, 2]]
[[], [], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [3]]
[[], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [], [], [], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [3], [2, 2], [], [2, 2], [4], [], [2, 2], [2, 2], [], [4], [4]]
-EndAllocation

Instance: [[1], [106], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,36. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4]]
[[], [4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 4, 4], []]
[[], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4], [], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [4, 4]]
[[4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [], [2, 2, 2], [4], [], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2]]
[[], [4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [4], [], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2], [2, 2], [], [4], [4], [4], [4]]
[[], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [2], [], [4], [2, 2], [4], [], [4], [4]]
[[4], [], [4], [2, 2], [], [2, 2], [2, 2], [2], [], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [], [2, 2], [], [4], [2, 2], [2, 2]]
[[], [], [2, 2], [], [4], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [4]]
[[], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [], [], [], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [], [2, 2], [4], [], [2, 2], [2, 2], [2], [4], [4]]
-EndAllocation

Instance: [[1], [111], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,37. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [3, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [3, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [3, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4], []]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [3, 4]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [3, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [], [4, 4], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [2, 3, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 3], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 3], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [], [], [4, 4], [2, 2, 2, 2], [4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2]]
[[], [2, 2, 4], [2, 2, 2, 2], [3, 4], [], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2], [], [2, 2, 2, 2], [3], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [3], [4, 4], [], [], [4, 4], [2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 3], [4], [2, 4], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [4], [4], [2, 3], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [3], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [3], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4]]
[[4], [4], [2, 2, 2], [3], [], [4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [3], [4], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2], [4], [4], [4], [2, 3], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [3], [2, 2], [4], [4], [4]]
[[], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2], [2, 3], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4]]
[[], [4], [2, 2], [4], [2, 2], [4], [4], [2], [], [4], [2, 2], [2, 2], [4], [], [4], [2, 3], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [3], [4], [], [4], [4], [4], [4], [2, 2], [], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [], [4], [], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4], [4], [], [4]]
[[], [4], [4], [2, 2], [4], [2, 2], [], [], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [2, 3], [4], [4], [], [2, 2], [2, 2], [2], [2, 2], [], [4], [4], [4]]
[[], [4], [2], [4], [2, 3], [], [], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [], [4], [4], [], [2, 2], [], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [], [3], [], [4], [4], [], [4], [], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], []]
-EndAllocation

Instance: [[1], [110], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,37. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,37:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [], [2, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4], [4, 4, 4]]
[[], [2, 4, 4], [2, 4, 4], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [], [4], [4], [], [2, 2, 2], [4], [2, 4], [4], [4], [], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2], [4], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [2]]
[[4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2], [], [4], [4], [2, 2], [4], [4], [], [4]]
[[4], [2, 2], [4], [4], [2], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], []]
[[], [4], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [], [], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [2], [4], [4], [4]]
[[4], [2, 2], [2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [], [], [4], [2, 2], [], [4], [], [], [4], [2, 2]]
[[4], [], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [2], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [], [], [], [2, 2], [4], []]
[[], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2], [4], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [2, 2], [], [], [4], [4], [], [4], [2, 2]]
-EndAllocation

Instance: [[1], [109], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,37. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,37:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [4, 4, 4, 4], [4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [3, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [], [2, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4], [4, 4, 4]]
[[], [2, 4, 4], [2, 4, 4], [2, 3, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2, 2], [4, 4], []]
[[], [4, 4], [3, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [3, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [], [4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [4, 4], [3, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [3], [2, 2, 2, 2], [2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], []]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [2, 3], [4]]
[[4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 3], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [2, 4], [4], [3], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [2, 2, 2], [2, 3], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [2, 3]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 3], [4], [], [4], [4], [2], [2, 2, 2], [2, 4], [2, 4], [4], [4], [], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [3], [4], [4], [4]]
[[], [2, 2], [2, 2], [2, 3], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [2, 3]]
[[4], [4], [2, 2], [2, 2], [3], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2], [], [4], [4], [2, 2], [4], [4], [], [4]]
[[4], [2, 2], [4], [4], [2], [4], [2, 2], [4], [4], [], [2, 2], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [3], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4]]
[[4], [2, 2], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [2, 3], []]
[[], [4], [2, 2], [3], [4], [2, 2], [2, 2], [2, 2], [], [], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [2], [4], [4], []]
[[4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 3], [4], [4], [4], [], [], [], [4], [2, 2], [], [4], [], [], [4], [2, 2]]
[[4], [], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [2], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [3], [], [], [], [2, 2], [4], []]
[[], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2], [4], [], [4], [4], [4], [3], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [2, 2], [], [], [4], [4], [], [4], [2, 2]]
-EndAllocation

Instance: [[1], [114], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,38. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,38:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [2, 2, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], []]
[[], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4], [], [2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [4], [4], [2, 4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [4], [], [2, 2], [2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [2], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [2], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [2], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4]]
[[], [4], [2, 2], [2, 2], [2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [4], [], [4]]
[[4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2], [4], [], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[4], [4], [2, 2], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [2], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [], [4]]
[[4], [4], [], [4], [], [4], [2, 2], [4], [4], [], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [], [], [4], [], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [4], [2], [2, 2], [4], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [113], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,38. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,38:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4]]
[[4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 3], [4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [3, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [3, 4], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [2, 2, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [3, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [3], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [3, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], []]
[[], [4, 4], [4, 4], [4, 4], [3], [2, 2, 2, 2], [], [], [2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [], [3], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 3], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 4], [4], [4], [3], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [3], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2, 2], [], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [3], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2], [2, 4], [4], [4], [4], [4], [2, 3], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 3], [2, 2, 2], [], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 3], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 3], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [3], [4], [2], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [2], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [3], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [2, 3], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4]]
[[4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [2, 2], [2, 2], [3], [4], [4], [4], [4], [], [4], [2, 2], [4], [2], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4]]
[[], [4], [2, 2], [2, 2], [2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [], [4], [2, 2], [2, 2], [3], [4], [4], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [4], [], [4]]
[[4], [4], [2, 2], [4], [4], [], [2, 3], [4], [4], [4], [], [], [2, 2], [4], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[4], [4], [2, 2], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [2], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [3], [4]]
[[4], [4], [3], [4], [], [4], [2, 2], [4], [4], [], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [], [], [4], [], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [4], [2], [2, 2], [4], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [112], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,38. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], []]
[[], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4]]
[[4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [2, 2], [4], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [], [4], [4], [], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2]]
[[4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4]]
[[4], [2, 2], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], []]
[[4], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [], [4], [2, 2], [], [], [4]]
[[], [2, 2], [4], [4], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], []]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [], [], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [], [2, 2], [4], [4], [4], [4], []]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [], [], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [], [4], [4], [], [2, 2], [2, 2], [2, 2], [], [4], [4], [4]]
[[], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [], [], [2, 2], [], [2, 2], [4], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [], []]
[[4], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [], [], [4], [4], [], [4], [2, 2], [], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [], [4], [4]]
-EndAllocation

Instance: [[1], [117], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,39. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4]]
[[], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4], [3, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 3, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [3, 4], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4], [2, 4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 4], [3, 4]]
[[], [4, 4], [4, 4], [3, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 3], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 3], [], [4, 4], [4, 4], [2, 2, 2, 2], [4], [], [2, 2, 2, 2], [4, 4]]
[[], [], [4, 4], [4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], []]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4], [4, 4], [3], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [], [], [], [], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [3], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [3, 4], [4, 4], [2, 2, 2], [], [], [], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [2, 2, 2], [3], [4], [4], [4], [2, 4], [2, 4]]
[[4], [2, 2, 2], [3], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 4], [2, 4]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [3], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [3], [4], [4], [4], [4], [2, 4], [4], [], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [3], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [4], [2, 2, 2], [], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 3], [], [4], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 3], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [2, 3], [2, 2], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [3], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 3], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [2, 2]]
[[4], [4], [4], [2, 2], [2, 2], [4], [3], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [2], [], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2]]
[[4], [], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 3], [], [2, 2], [4], [4]]
[[], [4], [4], [4], [4], [], [2, 2], [], [4], [4], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 3], [], [2, 2], [4], [2, 2], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [2], [], [3], [4], [], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4]]
[[], [4], [4], [2, 2], [3], [], [], [4], [2, 2], [2], [4], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], []]
[[], [4], [], [4], [], [4], [4], [], [4], [4], [4], [3], [2, 2], [4], [4], [4], [], [2], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [], [4], [4]]
-EndAllocation

Instance: [[1], [116], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,39. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,39:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 4, 4, 4]]
[[], [4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2], [2, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [], [4, 4], [4, 4], [2, 4, 4], [], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 2]]
[[], [4, 4], [], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], []]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4]]
[[4], [4], [4], [], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [], [2, 2], [4], []]
[[], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [2, 2], [], [4], [4], [], [], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4]]
[[4], [2, 2], [2, 2], [4], [], [], [4], [4], [4], [], [], [2, 2], [4], [4], [], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [4], [2, 2], [], [2, 2], [], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [2, 2], [], [], [4], [4], [4], [2, 2], [4], [], [4]]
[[4], [2, 2], [2, 2], [2, 2], [], [4], [], [], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [4], [4], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [4], [4]]
-EndAllocation

Instance: [[1], [115], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,39. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2], [4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4], [2, 4, 4, 4], [2, 3, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3], [2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [3, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 4], [2, 2, 2, 2, 2], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [3, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4], [2, 4], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 3], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2]]
[[], [], [], [4, 4], [2, 2, 2, 2], [], [4], [3, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [], [], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [3, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [3], [4], [4]]
[[4], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [3], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [3], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4]]
[[4], [2, 4], [4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [2, 3], [2, 4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [3], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [], [4]]
[[4], [], [4], [], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [2, 2, 2], [3], [4], [4], [2, 2, 2], [4]]
[[4], [2, 3], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [3], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [], [2, 2], [4], [3], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[], [], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [3], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[3], [4], [4], [], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4]]
[[3], [4], [2, 2], [], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2]]
[[4], [2, 2], [4], [4], [], [4], [4], [], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [], [], [2, 2], [4], [2, 2], [4], [3], [4], [4], [2, 2]]
[[4], [4], [2, 2], [4], [], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [], [4], [4], [], [], [2, 2], [3], [4], [2, 2], [2, 2], [4], [4]]
[[4], [], [2, 2], [], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 3], [2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [], [], [4], [4], [4], []]
[[], [4], [4], [4], [2, 2], [], [], [2, 2], [4], [4], [], [2, 2], [4], [], [4], [3], [4], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [4], [4]]
[[], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [], [4], [2, 2], [3], [4], [4], [], [4], [4], [], [4], [2, 2], [4], [], [4], [], [2, 2], [], [4]]
-EndAllocation

Instance: [[1], [120], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,40. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4]]
[[], [2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [2, 4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4]]
[[], [2, 4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], []]
[[], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], []]
[[4], [2, 4], [4], [4], [2, 4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [4], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [2, 4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [4], [2, 2], [], [4], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], []]
[[4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [4], [4]]
[[], [], [4], [2, 2], [4], [], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [], [2, 2], [], [4], [], [4], [4]]
[[4], [4], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [119], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,40. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4]]
[[], [3], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4]]
[[], [2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3], [2, 2, 2, 2], [2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [2, 3, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[], [3], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [2, 4, 4], [3, 4], [4, 4], [], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4]]
[[], [2, 4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [3], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [3, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], []]
[[], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [3, 4]]
[[], [], [4], [4, 4], [], [2, 2, 3], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2], [4, 4], [4, 4], []]
[[4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 3], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [3], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [2, 2, 2], [3], [4], [2, 4], [4], [2, 4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [3], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [3], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [3], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [2, 4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [3], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [3], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [3], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [3], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 3], [2, 2], [2], [4], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [], [2, 3], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2], [4], [4], [], [4], [4], [2, 2], [], [4], [4]]
[[4], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [3], [], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], []]
[[4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [3], [4], [], [4], [2, 2], [], [4], [4], [4]]
[[], [], [4], [2, 2], [4], [], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 3], [2, 2], [], [], [2, 2], [], [4], [2], [4], [4], [], [4], [4], [4], [2, 2]]
[[], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [3], [2, 2], [], [2, 2], [], [4], [], [4], [4]]
[[4], [4], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [3], [2, 2], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [118], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,40. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4], [4, 4, 4], [2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [2, 4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [2, 2, 2, 2, 2], [2, 4, 4]]
[[], [2, 4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], []]
[[], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [2, 4], [4, 4]]
[[], [], [4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2], [4, 4], [4, 4], []]
[[4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [4], [4], [4], [2, 4], [4]]
[[], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4]]
[[4], [4], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [2, 2], [2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2], [4], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2], [4], [4], [], [4], [4], [2, 2], [], [4], [4]]
[[4], [2], [2, 2], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], []]
[[4], [2, 2], [2, 2], [4], [], [], [4], [4], [4], [4], [2], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [4], [4]]
[[], [], [4], [2, 2], [4], [2], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [], [2], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [], [2, 2], [], [4], [], [4], [4]]
[[4], [4], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [123], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,41. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,41:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [3], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 3, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [3], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 3, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [3], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4], [4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [3, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4]]
[[], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [2, 2, 3], [4, 4], [4, 4], [4, 4], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [], []]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [3], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [3], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [2, 2], [2, 2, 3], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], []]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 3], [2, 2, 2], [2, 4], [2, 4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [3], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 3], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 3], [4], [4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 3], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [], [2, 2, 2], [2, 3], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [3], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [3], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[], [4], [3], [2, 2], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [3], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [3], [], [2, 2], [2, 2], [], [4], [2, 2], [], [], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [], [4], [], [2, 2], [3], [], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], []]
[[4], [4], [], [2, 2], [2, 2], [4], [3], [2, 2], [2, 2], [], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [], [], [4], [4], [4], [2, 2], [4], [], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2], [4], [4], [4], [4], [], [2, 2], [], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 3], [4]]
[[4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [2, 2], [4], [4], [4], [4], [], [2, 3], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [4], [4], [], []]
[[], [], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [], [4], [3], [4], [], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [122], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,41. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2]]
[[], [4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 4], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [], []]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [], [4, 4], [], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4]]
[[], [], [2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], []]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [2, 4], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [2, 2], [2, 2]]
[[], [4], [4], [2, 2], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [2], [], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [], [4], [], [2, 2], [], [], [4], [4], [4], [4], [2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], []]
[[4], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [], [2], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [], [], [4], [4], [4], [2, 2], [4], [], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2], [4], [4], [4], [4], [], [2, 2], [], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4]]
[[4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [2, 2], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [4], [4], [], []]
[[], [2], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [121], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,41. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2]]
[[], [4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [2, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4], [3], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [3, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4], [], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 3, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [3], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 4, 4], [3, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [3, 4], [], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [4, 4], [4, 4], [2, 3, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [4, 4], [2, 2, 3], [4], [4, 4], [4, 4], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [], []]
[[], [2, 2, 2, 2], [4, 4], [4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [3], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [3], [4, 4], [], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [2, 2, 2], [2, 2, 3], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], []]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 3], [2, 2, 2], [2, 4], [2, 2, 2], [2, 4], [4], [4], [4]]
[[4], [4], [4], [3], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 3], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2]]
[[], [2, 2, 2], [4], [2, 3], [4], [4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [], [2, 2, 2], [2, 3], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [], [4], [], [2, 2, 2], [2, 3], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [2], [4], [4], [3], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [2], [4], [4], [2, 2], [4], [2, 2], [3], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [3], [4], [2, 2], [4], [4], [2], [4], [2, 2], [2, 2]]
[[], [4], [3], [2, 2], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [3], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [3], [], [2, 2], [2, 2], [], [4], [2, 2], [2], [], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [], [4], [], [2, 2], [3], [], [4], [4], [], [4], [2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], []]
[[4], [4], [], [2, 2], [2, 2], [4], [3], [2, 2], [2, 2], [], [2], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [], [], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [], [], [4], [4], [4], [2, 2], [4], [], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [4], [], [2, 2], [], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 3], [4]]
[[4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [], [], [2, 2], [4], [4], [4], [4], [], [2, 3], [2, 2], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], []]
[[], [2], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [], [4], [3], [4], [], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [126], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,42. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4], [2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 4], [4, 4], [], [4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], []]
[[], [], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [2, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], []]
[[], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2], [4], [2], [], [], [4, 4], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], []]
[[4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [], [4], [4], [2, 2, 2], [2, 2, 2], [], [4], [4], [4], [4], [2, 4], [2, 4], []]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2], [4], [], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [4], [2, 2]]
[[4], [4], [4], [], [4], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2], [], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4]]
[[4], [], [2, 2], [4], [2, 2], [4], [], [2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [], [4], [], [2, 2], [], [4], [2, 2], [2], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [4]]
[[], [2, 2], [2], [2, 2], [4], [], [], [4], [], [], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [], [4], [2, 2], [], [2, 2], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [4], [4], [4], [4], [], [2], [2, 2], [2, 2], [4]]
[[4], [], [], [4], [2, 2], [4], [], [], [], [], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [4], [], [], [2, 2], [4], [4], [2, 2], [2, 2], [2], [4], [2, 2], [4], [], [], [4], [], [2, 2], [4], [], [2, 2], [4], [], [], [2, 2], [], [4], [4], [4], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4]]
-EndAllocation

Instance: [[1], [125], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,42. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,42:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4], [2, 2, 2, 3, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 3, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2], [4, 4, 4], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 3]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2], [4, 4, 4]]
[[], [3, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [3, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 3, 4], [4, 4], [4], [4, 4], [4, 4], [], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [], [2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [3, 4], [4, 4], [2, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], []]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [3, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 3], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [], [], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [], [2, 2, 2], [4, 4], [2, 2, 3], [4, 4], [], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [2, 3], [4], [2, 4], [4], [2, 4], [2, 4]]
[[4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 3], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [3], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [3], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 3], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2], [], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [3], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [4], [2, 2], [4], [2, 4], [4]]
[[4], [2, 2, 2], [4], [2, 3], [4], [], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [], [2, 4], [], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2], [2, 2], [3], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [3], [2, 2], [2, 2], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2], [2, 2], [4], [4], [3], [2, 2], [], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [3], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2], [], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [2, 3], [], [], [4], [4], [4], [], [2, 2], [2, 2], [4], [], [4], [4], [4]]
[[4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [4], [], [], [2, 3], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2]]
[[4], [4], [4], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 3], [2, 2], [2, 2], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 3], [4], [4], [], [4], [4], [2, 2], [4], [4], [], [2, 2], [2, 2], [], [2, 2], [4], [], [2, 2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [2], [4], [], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [3], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [], [], [4], []]
[[4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [2, 2], [], [4], [4], [], [2, 2], [4], [4], [2, 3], [], [4], [4], [], [2, 2], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [4], [], [4], []]
[[], [4], [3], [4], [4], [4], [], [2, 2], [], [], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [], [], [2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], []]
-EndAllocation

Instance: [[1], [124], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,42. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,42:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4, 4], [4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 4], [4, 4], [4], [2, 2, 2, 2, 2]]
[[], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [], [4, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4], [4, 4], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [2, 2, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2]]
[[], [2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], []]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [], [4, 4], [], [], [4, 4], [4, 4], [], [4]]
[[4], [4], [2, 4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2]]
[[4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], []]
[[4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [], []]
[[4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [2, 2]]
[[4], [4], [2, 2], [], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4]]
[[], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [4], [], [4]]
[[4], [], [2, 2], [4], [], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [], [2, 2]]
[[4], [2, 2], [4], [], [2, 2], [], [], [4], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [4]]
[[], [4], [4], [4], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2]]
[[], [4], [4], [4], [4], [4], [], [], [4], [4], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [], [], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2]]
[[4], [4], [], [], [4], [], [], [2, 2], [4], [2, 2], [2, 2], [], [4], [], [2, 2], [], [], [4], [2, 2], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4]]
[[4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [], [2, 2], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [129], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,43. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,43:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [2, 3, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [3], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [2, 2, 2, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4], [4, 4, 4], [], [4, 4, 4], [3], [2, 2, 2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3]]
[[], [2, 3, 4], [4, 4], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [3], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2]]
[[], [4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 4], [4, 4], [3, 4], [4, 4]]
[[], [3, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 4], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [3, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 3], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [3, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [3, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [], [], [4, 4], [4], []]
[[], [4, 4], [], [4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 3], [2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [2, 3], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [2, 4], [2, 4], [4], [2, 4], [2, 4], [4]]
[[4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [3], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [3], [4], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [3], [2, 2, 2], [2, 4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [3], [4], [4], [], [4], [2, 4], [4], [4], [2, 4]]
[[4], [4], [4], [2, 4], [4], [2, 4], [], [4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [3], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [], [4]]
[[4], [4], [], [4], [4], [4], [4], [2, 3], [4], [4], [4], [2, 2, 2], [4], [], [2, 2], [4], [4], [2, 2, 2], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 3], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 3], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [3], [], [4], [2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 3], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [4], [4]]
[[4], [], [4], [4], [], [2, 3], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [2, 2]]
[[4], [4], [4], [2], [], [2, 2], [], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [3], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [3], [], [2, 2], [], [], [4], [2, 2], [2], [4], [4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2], [], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [3], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [4], [], [2, 2]]
[[4], [4], [2, 2], [], [4], [4], [], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 3], [], [4], [2, 2], [4], [4], [4], [], [], [], [2, 2], [4]]
[[], [2], [4], [4], [4], [], [2, 2], [4], [], [], [], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [3], [2, 2]]
[[], [2, 2], [], [2, 2], [4], [], [2, 2], [], [3], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], [], [4], [], [4], [], [4], [2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [128], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,43. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,43:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 4], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4], [2, 4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 4], [], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2], [4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [2, 2, 4], []]
[[], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [], [4, 4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [], []]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2], [], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [4], [], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [], [4]]
[[4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [], [4], [], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [4], [4], [4], [], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [], [2, 2], [], [4], [4], [4], [], [], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [], [2, 2], [], [4], [], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [4]]
[[4], [4], [], [4], [4], [], [4], [], [4], [], [4], [2, 2], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [4], [], [4]]
[[4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [], [], [4], [4], [], [2, 2], [2, 2], [], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [4], [4]]
[[], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [], [4], [4], [], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [4], [], [], []]
-EndAllocation

Instance: [[1], [127], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,43. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,43:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 4], [3, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 3]]
[[], [4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 3]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [3, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 3], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 3], [4], [2, 4, 4], [2, 2, 2, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4], [3, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [], [4, 4], [4, 4]]
[[], [4, 4], [2, 3, 4], [2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 4], [], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 3], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4], [], [], [], [4, 4], [4, 4], [2, 2, 4], [3]]
[[], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 3], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [], [4, 4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 3], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [3], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 3], [4], [4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4]]
[[4], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 4], [2, 3], [4], [4], [], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [], [3]]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 2], [], [4], [3], [2, 2, 2], [4], [], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [3], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4]]
[[4], [4], [2, 3], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [2], [2, 3], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 3], [4], [2, 2], [], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [4], [2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [4], [], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [3], [4]]
[[4], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [], [4], [], [2, 2], [2, 2], [2, 3], [2, 2], [], [2, 2], [4], [2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [4], [4], [4], [], [3], [], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [], [2, 2], [3], [4], [], [4], [], [], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2]]
[[4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2], [2, 2], [4], [], [2, 3], [], [4], [], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [4]]
[[4], [4], [], [4], [4], [], [4], [], [4], [], [3], [2, 2], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [4], [], [4]]
[[3], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [], [], [4], [4], [], [2, 2], [2, 2], [], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [], [], [2, 2], [2, 2], [], [2, 2], [4], [4]]
[[3], [4], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [], [4], [4], [], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [], [], [], []]
-EndAllocation

Instance: [[1], [132], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,44. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [4, 4], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4], [2, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], [4]]
[[], [4, 4], [], [4, 4], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [4, 4], [2, 2, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [4, 4]]
[[], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], [4, 4], [2, 2, 4], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [], [4, 4], [], [2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2]]
[[4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [2, 4]]
[[4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [2, 2, 2], [4]]
[[], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], []]
[[4], [], [4], [4], [4], [2, 2, 2], [2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2]]
[[], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], []]
[[4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], []]
[[4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [], [4], [4], [2, 2], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4]]
[[4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [], [], [4], [], [2, 2]]
[[4], [], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [], [2, 2], [4], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], []]
[[], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [4], [], [], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [2, 2], [4]]
[[], [], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [], [], [4], [], [4], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [131], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,44. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [4], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3], [4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4], [2, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 3], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4, 4], [4, 4, 4], [3, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2], [3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], []]
[[], [4, 4], [], [4, 4], [3, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4], [4, 4], [2, 2, 4], [4, 4], [4, 4], [], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [3], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [3], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 3], [], [2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2], [4, 4], [3, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [3], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [], [4, 4]]
[[], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 4], [4, 4], [], [3], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 3]]
[[4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [2, 4], [4], [4], [3], [2, 4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 3], [4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4]]
[[4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [3], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 3], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [2, 2, 2], [4]]
[[], [2, 2, 2], [2, 2, 2], [4], [4], [4], [3], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], []]
[[4], [], [4], [4], [4], [2, 2, 2], [2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [3], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 3], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2]]
[[4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [3], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [3], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 3], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2], [4], [2, 2], [4], [2, 2]]
[[], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [3], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 3], [4], [2], [2, 2], [4], [], []]
[[4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [3], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], []]
[[4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [], [4], [4], [2, 2], [4], [4], [4], [], [], [3], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4]]
[[4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [3], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [], [], [4], [], [2, 2]]
[[4], [], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [], [2, 2], [4], [4], [3], [2, 2], [], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], []]
[[], [4], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2], [4], [], [], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [], [], [4], [], [4], [2, 2], [4], [2, 3], [4]]
[[], [], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [], [], [4], [], [4], [4], [3], [4], [4]]
-EndAllocation

Instance: [[1], [130], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,44. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4]]
[[], [4], [2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], []]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4], []]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [], [], [], [], [4, 4], [4, 4], [2, 2, 2], [4, 4]]
[[], [], [], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4]]
[[4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2], [4], [2, 2, 2]]
[[4], [2, 4], [4], [4], [4], [4], [4], [4], [], [4], [4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4]]
[[4], [4], [], [4], [2, 2, 2], [2, 4], [4], [], [4], [4], [4], [2, 2, 2], [2, 4], [4], [], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [], [4], [], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [], [2, 2], [2, 2, 2], [4], [4]]
[[4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], []]
[[4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [4], [2], [4], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4]]
[[], [4], [4], [2, 2], [], [4], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [4], [2], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [2], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4]]
[[], [4], [4], [4], [4], [2, 2], [4], [], [], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [2], [4], [4], [4]]
[[4], [4], [2], [4], [2, 2], [4], [4], [], [], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [], [4]]
[[4], [], [], [2, 2], [4], [2], [4], [4], [4], [4], [], [4], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [], [], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [2], [4], [4], [], [4], [], [2, 2]]
[[4], [], [4], [4], [], [], [2, 2], [], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2], [2, 2], [], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [2, 2], [], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [2, 2], [2, 2]]
[[], [], [4], [], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [], [4], [2], [4], [4], [], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [], [4], [4], [2, 2]]
-EndAllocation

Instance: [[1], [135], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,45. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 4, 4, 4], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4], [], [2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [3, 4, 4], [4, 4]]
[[], [], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2]]
[[], [4], [3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2], [4, 4, 4]]
[[], [3], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 4], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [4]]
[[], [4, 4], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [2, 2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [3, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [], [2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 4], [2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [], [], [2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 3, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 3], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [], [4, 4], [], [], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4], [], [4, 4], [4, 4], [3, 4], [], []]
[[], [2, 2, 2, 2], [], [4, 4], [], [3], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [2, 4], [3], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4]]
[[4], [4], [4], [2, 4], [2, 3], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [3], [2, 4], [4], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 3]]
[[4], [], [2, 3], [4], [2, 4], [2, 4], [4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [4], [3], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 4], [2, 2, 2], [], [], [4], [2, 4], [4], [2, 2], [3], [4], [4], [4], [4]]
[[4], [4], [2, 2], [2, 3], [4], [4], [2, 2], [2, 2], [2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [3], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [3], [4], [2, 2], [4], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [], [4], [2, 2], [3], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [], [4], [2, 2], [], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [3], [4]]
[[], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [3], [2, 2]]
[[4], [3], [], [2, 2], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [4], [4]]
[[], [4], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [], [4], [3], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [], [4], [4], [4], [4]]
[[], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [], [4], [2, 2], [2], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 3], [2, 2], [4], [], [2, 2]]
[[], [], [4], [4], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [3], [], [], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4]]
[[], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [], [], [], [4], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [3], [4], [2, 2], [4]]
[[], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [], [4], [3], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [], []]
-EndAllocation

Instance: [[1], [134], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,45. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4]]
[[], [], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [4, 4], [4]]
[[], [4, 4], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [], [], [2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [], [4, 4], [], [], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [], [4, 4], [4, 4], [4, 4], [], []]
[[], [2, 2, 2, 2], [], [4, 4], [], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4]]
[[4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2]]
[[4], [], [2, 4], [4], [2, 4], [2, 4], [4], [], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4]]
[[4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 4], [2, 2, 2], [], [], [4], [2, 4], [4], [2, 2, 2], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [], [4], [2, 2], [4], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4]]
[[], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2], [4], [4], [4], [4], [4], [2, 2]]
[[], [4], [], [2, 2], [4], [4], [2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [4], [4]]
[[], [2], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [], [4], [4], [4], [4]]
[[], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [], [4], [2, 2], [2], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [], [2, 2]]
[[], [], [4], [4], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [4], [], [], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2]]
[[], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [], [], [], [4], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2], [4], [2, 2], [4]]
[[], [4], [4], [4], [2], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [], []]
-EndAllocation

Instance: [[1], [133], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,45. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [3, 4, 4], [4]]
[[], [], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2]]
[[], [], [3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4, 4]]
[[], [3], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [2, 4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [4, 4], [4]]
[[], [4, 4], [4, 4], [4, 4], [], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [], [], [2, 2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 3, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 3], [4, 4], [4, 4], [4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [], [4, 4], [], [], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [], [4, 4], [4, 4], [3, 4], [], []]
[[], [2, 2, 2, 2], [], [4, 4], [], [3], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4], [4, 4], [4, 4]]
[[4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [2, 4], [3], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4]]
[[4], [4], [4], [4], [2, 3], [2, 2, 2], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [3], [2, 4], [4], [4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 3]]
[[4], [], [2, 3], [4], [2, 4], [2, 4], [4], [], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4]]
[[4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [2, 4], [3], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [], [4], [4]]
[[4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 4], [2, 2, 2], [], [], [4], [2, 4], [4], [2, 2, 2], [3], [], [4], [4], [4]]
[[4], [4], [2, 2], [2, 3], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [2], [3], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [3], [4], [2, 2], [4], [4], [2, 2], [4], [4]]
[[], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2], [], [4], [], [4], [2, 2], [3], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [], [4], [2, 2], [], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [3], [4]]
[[], [2, 2], [], [], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 3], [2, 2]]
[[], [3], [], [2, 2], [4], [4], [2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [4], [2, 2], [4], [4]]
[[], [2], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [], [], [4], [3], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [], [4], [4], [4], [4]]
[[], [4], [2, 2], [4], [4], [4], [2, 2], [], [], [2, 2], [4], [], [4], [2, 2], [], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 3], [2, 2], [4], [], [2, 2]]
[[], [], [4], [4], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [3], [], [], [4], [4], [4], [4], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2]]
[[], [2, 2], [4], [], [4], [4], [4], [], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [], [], [], [], [4], [4], [4], [4], [], [4], [], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 3], [4], [2, 2], [4]]
[[], [4], [4], [4], [2], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [], [], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [], [4], [3], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [], []]
-EndAllocation

Instance: [[1], [138], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,46. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [], [2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 4, 4], [4], [4, 4], [4, 4]]
[[], [2, 4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2]]
[[], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [4, 4], [4, 4], [2, 2, 2], []]
[[], [], [4, 4], [4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2], [2, 2, 2, 2], [], [4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2]]
[[4], [4], [2, 4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 4], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [], [], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4], [], [4], [], [4], [4]]
[[4], [4], [4], [4], [2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [4]]
[[], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [], [2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2]]
[[4], [2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], []]
[[4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], []]
[[4], [2, 2], [2, 2], [4], [], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [], [], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2], [4], [4]]
[[], [4], [4], [4], [], [], [4], [2], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], []]
[[], [], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [], [], [4], [4], [4], [4], [4], [2], [4], [4], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [], []]
[[4], [4], [], [4], [2, 2], [4], [4], [], [], [], [2], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [], [], [], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [], [], [4], [2, 2], [4], [2, 2], [4], [4], [2], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [4]]
-EndAllocation

Instance: [[1], [137], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,46. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [3, 4, 4, 4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3]]
[[], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [2, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 3], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [2, 2, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 2, 2, 2, 2], [4, 4, 4], [3], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [], [2, 2, 2, 2, 2], [3], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [3, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [3, 4], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 4, 4], [4], [4, 4], [4, 4]]
[[], [2, 4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 3, 4], [4, 4]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [3], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [3, 4], [4, 4], [4], [4, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [3], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2]]
[[], [3, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [], [2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 3], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 3], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [], [4, 4], [], [4, 4], [3], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [3], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [3], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2]]
[[4], [4], [2, 4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [3], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 3], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2], [2, 2, 2], [4], [], [4], [4], [4], [4], [4], [3], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4]]
[[4], [4], [2, 2, 2], [2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [3], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [3], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [], [], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [], [], [4], [3], [4], [4]]
[[4], [4], [4], [4], [2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [3], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [3], [4], [4], [2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4]]
[[4], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [2, 2], [3], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [2], [2, 2], [4]]
[[], [], [2, 2], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 3], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [3], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2]]
[[4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 3], [], [4], [4], [], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [4], []]
[[4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [4], [2, 3], [4], [], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], []]
[[4], [2, 2], [2, 2], [4], [3], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [], [], [], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2], [4], [4]]
[[], [4], [4], [4], [], [3], [4], [2], [4], [4], [], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], []]
[[], [], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [], [], [4], [4], [3], [4], [4], [2], [4], [4], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [], []]
[[4], [4], [], [4], [2, 2], [4], [4], [], [], [], [2], [4], [2, 2], [4], [4], [], [4], [4], [4], [3], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[], [4], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [], [], [], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [], [], [4], [2, 2], [4], [2, 2], [4], [4], [2], [], [3], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [4]]
-EndAllocation

Instance: [[1], [136], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,46. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4]]
[[], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4], [], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], []]
[[], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], []]
[[], [4, 4], [], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], []]
[[], [], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [], [], [2, 2, 2, 2]]
[[], [], [4, 4], [2, 2, 2, 2], [], [], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[4], [4], [4], [2, 4], [4], [4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [4], [4], [4], [], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [4], []]
[[4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4]]
[[], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [2, 2, 2], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [2, 4], [2, 4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [], [4], [2, 2, 2], [4], [], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [], [4], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4]]
[[], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4]]
[[], [4], [4], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [], [4], [2, 2]]
[[], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [], [4], [], [4], [2, 2], [], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4]]
[[], [4], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [], [4], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4]]
[[], [4], [], [], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [], [4], [4], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [], [4], [2, 2], [], [4], [4], [], [], [2, 2], [4], [], [4], [4], [2, 2]]
[[4], [4], [2, 2], [], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [], [], [2, 2], [], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [], [4], [], [4], [4], [4], [2, 2], [], [], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4]]
[[4], [], [4], [4], [4], [2, 2], [], [], [4], [4], [], [2, 2], [2, 2], [], [], [4], [2, 2], [], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [], [4], [2, 2], [], [4], [4], [4]]
-EndAllocation

Instance: [[1], [141], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,47. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,47:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4], [4, 4, 4, 4, 4, 4, 4], [4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], []]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4], [4], [4, 4, 4], [3, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4, 4, 4], [2, 3, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2], [], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [3, 4], [4, 4], [4, 4], [2, 2, 4], [4]]
[[], [4, 4], [4, 4], [2, 4, 4], [2, 4, 4], [4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [3], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [2, 4, 4], [4, 4], [2, 3], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [3, 4], [2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], []]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [3, 4], [2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [3, 4], [], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [3], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2], [4, 4]]
[[], [], [], [2, 2, 2, 2], [2, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 3], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 3], [2, 2, 2, 2], [], [4, 4], [], [4], [4, 4], [2]]
[[], [], [], [4, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [], [], [], [2, 2, 2], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [3, 4], [2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2]]
[[4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 3], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4]]
[[4], [2, 4], [4], [4], [4], [4], [4], [3], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4]]
[[4], [2, 4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [4], [4], [3], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [4]]
[[4], [4], [3], [4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4]]
[[4], [2, 4], [4], [4], [3], [4], [], [4], [4], [], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], []]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [3], [4], [], [4], [2, 2, 2]]
[[4], [4], [4], [3], [2, 2, 2], [], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [], [4], [2, 4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [4], [], [2, 2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 3], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [3], [4], [4], [4], [4], [4], [4], [4], [2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [2, 2]]
[[], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [4], [2, 3]]
[[4], [4], [2, 2], [4], [3], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [], [4], [4], [4], [2]]
[[4], [4], [4], [4], [4], [], [4], [2, 2], [4], [2, 2], [3], [4], [2, 2], [4], [2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [2, 2], [], [], [4], [2, 2], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2], [4], [4], [4], [4], [4], [4], [3], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4]]
[[], [], [2, 2], [2, 3], [2, 2], [4], [4], [4], [], [4], [4], [4], [], [4], [], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [2], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [3], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [2, 2], [4], [], []]
[[4], [2, 2], [4], [4], [4], [2, 3], [4], [], [4], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [], [], [4], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [2, 2]]
[[], [2, 2], [4], [2], [4], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [3], [2, 2], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [], [4], [4], [], [2, 2], [4], [4], [], [], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [], [4], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [2, 3], [4], [], [], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [], [2, 2], [2, 2], [4], [], [4], [4], [], [4], []]
[[], [4], [4], [], [4], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [2], [], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [3], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [140], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,47. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,47:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 4, 4, 4], [2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], []]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [], []]
[[], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [], [4, 4], [4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [2, 4], [4], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [], [4], [4], [4], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [4], [4], [4], [], [], [2, 2, 2], [2, 2, 2], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [], [4], []]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [], [2, 2]]
[[4], [4], [4], [4], [2, 2], [], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [], [4]]
[[], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [], [4], [2, 2], [4], [4], [4], [4], [], [4]]
[[], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [4], [], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4]]
[[4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [], [2, 2], [4], [], [4], [], []]
[[], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [4], [], [], [], [2, 2], [2, 2], [], [], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4]]
[[], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [], [], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [4], []]
[[4], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [], [], [2, 2], [4], [2, 2], [4], [4], [], [2, 2], [], [4], [4], [], [4], [4], [4], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [139], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,47. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,47:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [2, 2, 2, 2, 3, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [3]]
[[], [2, 2, 2, 2, 2, 3], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 4, 4, 4], [2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [3, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2], [4, 4, 4], [4], [2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], []]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4], [4, 4, 4], [], [4, 4, 4], [3, 4, 4], [], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [], [4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [3], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [3], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [], [4, 4], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [3, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4]]
[[], [], [], [2, 2, 2, 3], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [], []]
[[], [4, 4], [2, 2, 2, 2], [3], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [3], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [3, 4], [], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], []]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [2, 4], [3], [2, 4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4]]
[[4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 3], [4], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4]]
[[4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [3], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2]]
[[4], [2, 3], [4], [4], [4], [2, 2, 2], [4], [4], [], [2, 4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [], [4], [4], [3], [2, 2, 2], [2, 4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [4], [4], [4], [], [], [2, 2, 2], [2, 2, 2], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [], [4], [], [4], [3], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [4], [2, 2, 2], [3], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [], [4], []]
[[4], [4], [2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 3], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [3], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2]]
[[4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2], [2, 2], [4], [4], [4], [2, 3], [4], [2, 2], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [2, 3]]
[[4], [3], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [2, 2], [], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [2, 2], [3], [2, 2]]
[[4], [4], [4], [4], [2, 2], [], [], [4], [3], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [], [4]]
[[], [2, 2], [2, 2], [4], [2], [2, 2], [4], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [], [4], [2, 3], [4], [4], [4], [4], [], [4]]
[[], [4], [2, 2], [2, 2], [], [4], [], [4], [4], [4], [4], [], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [], [4], [2, 3], [4], [2, 2], [4], [2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4]]
[[], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [3], [4], [4], [2, 2], [4], [4], [2, 2], [], [], [], [2, 2], [4], [], [4], [], []]
[[], [2, 2], [2, 2], [], [2, 2], [4], [2, 2], [], [2, 2], [4], [], [4], [], [4], [4], [2, 2], [4], [], [], [], [2, 2], [2, 2], [], [], [4], [2], [2, 2], [2, 3], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4]]
[[], [2, 2], [4], [4], [4], [2, 3], [], [2, 2], [4], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2], [], [], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [4], []]
[[4], [4], [2, 2], [2, 2], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [], [4], [], [2, 2], [2, 2], [], [4], [2, 2], [4], [], [], [2, 2], [2, 2], [3], [4], [4], [], [2, 2], [], [4], [4], [], [4], [4], [4], [4], [], [2, 2]]
-EndAllocation

Instance: [[1], [144], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,48. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [], [], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4]]
[[], [], [4, 4], [], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [], [4, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [4, 4], []]
[[], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], []]
[[4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [4], [2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [4], [4], [2, 4], [2, 2, 2], [], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4]]
[[4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], []]
[[4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [], [], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4]]
[[4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [], [], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [2, 2], [], [], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [], [], [2, 2], [4], [4], [4], []]
[[4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [], [], [2, 2], [], [], [], [4], [4], [2, 2], [2, 2]]
[[], [2, 2], [], [4], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [], [4], [4], [], [4], [4], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [143], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,48. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [3], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [2, 2, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [2, 2, 4, 4], [3, 4, 4], [4, 4, 4], [2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 3, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4]]
[[], [], [2, 2, 2, 2, 3], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [], [], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 3], [2, 2, 2, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [4], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4], [], [4, 4]]
[[], [], [4, 4], [], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [3], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2], [4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 3]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [3, 4], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [], [4, 4], [], [], [], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [3, 4], []]
[[], [4, 4], [4, 4], [3, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [], [4, 4], [4, 4], []]
[[], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [3, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4]]
[[4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [3], [4], [2, 4], [2, 4], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 3], [4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [3], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [3], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], []]
[[4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [3], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [3], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [4], [2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [], [4], [2, 4], [2, 2, 2], [3], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 3], [4], [2, 2], [4], [2, 2]]
[[3], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [3], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4]]
[[4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [3], [4], [4], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [3], [4], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], []]
[[4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [3], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [3], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 3], [], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2], [], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4]]
[[4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [], [], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [4], [4], [3], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [2, 2], [], [], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [3], [], [2, 2], [4], [4], [4], []]
[[4], [4], [2, 2], [4], [], [3], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [], [], [2, 2], [], [], [], [4], [4], [2, 2], [2, 2]]
[[], [2, 2], [], [4], [], [3], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [], [4], [4], [], [4], [4], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [], [3], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [142], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,48. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [], [4, 4], [4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 4, 4, 4], [], [2, 4, 4, 4], [2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [], [], []]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 4, 4], [2, 4, 4], [2, 4, 4], [4, 4]]
[[], [4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4]]
[[], [], [4, 4], [], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4]]
[[], [2, 2, 2, 2], [], [2, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [4], [4, 4], [], [4, 4], [2, 2, 2, 2], [2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2], [], [2, 2, 2, 2], [], [4, 4], [], [], [], [4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [2, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], []]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [], [4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2], [4, 4], [4, 4], []]
[[], [], [2], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4]]
[[4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4]]
[[4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [4], []]
[[4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [2, 2], [4], [4], [4], [2, 4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [], [4], [2, 4], [2, 2, 2], [], [4]]
[[4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4]]
[[4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2], [4], [4], [4], [4], [2, 2], [4]]
[[4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], []]
[[4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2], [4], [2, 2], [4], [4], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [2, 2], [], [], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [], [2, 2], [2, 2], [4], [4], [2], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2]]
[[4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2], [], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4]]
[[4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [4], [], [], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2]]
[[], [4], [4], [2, 2], [], [], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [2, 2], [], [], [2, 2], [4], [4], [4], []]
[[], [4], [2, 2], [4], [2], [4], [4], [4], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [4], [4], [], [], [2, 2], [], [], [], [4], [4], [2, 2], [2, 2]]
[[], [2, 2], [], [], [], [4], [2, 2], [4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [2], [4], [4], [4], [2, 2], [4], [], [2, 2], [4], [], [], [4], [4], [], [4], [4], [4], [4]]
[[4], [4], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [], [], [4], [4], [], [4], [4], [4], [], [], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [2, 2], [4], [], [2, 2], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [2], [], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [147], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,49. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,49:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], []]
[[], [4, 4, 4, 4, 4], [3, 4], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [3], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [3, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [3, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4]]
[[], [], [4, 4, 4], [3], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [3, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], [4, 4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 3], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 3], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2]]
[[], [2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 4], [4, 4]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4]]
[[], [], [3, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [3, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [3, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [4], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [4], [2, 2, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 3], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 3], [2, 2, 2, 2], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [4, 4], [], [3, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 4], [2, 4], [4], [2, 4], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 3], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [2, 3], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [3], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 4], [4], [3], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [3], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [4], [2, 3]]
[[4], [4], [2, 2, 2], [3], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [4], [4], [2, 2, 2], [4], [], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 3], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [3], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [3], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [3], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], []]
[[4], [4], [4], [4], [3], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [4]]
[[4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [2, 2], [4], [], [4], [4], [2, 2], [3], [], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4]]
[[3], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [], [2, 2], [], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[4], [4], [2, 2], [], [4], [4], [2, 2], [2, 3], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2], [], [], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[], [], [], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [3], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [], [], [2, 2], [], [4], [4], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [3], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [], [4], [4], [], [2, 2], [3], [4], [4], [2, 2], [], [4], [], [2, 2], [4], [2, 2]]
[[], [4], [3], [4], [4], [4], [4], [4], [4], [], [4], [], [2, 2], [2, 2], [4], [], [], [], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4]]
[[4], [], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [3], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [], [], [], [2, 2], [2, 2], [], [], [4], [4], [4], [2, 2], [], [], [2, 2], [], [2, 2], [4], [2, 2], [4]]
-EndAllocation

Instance: [[1], [146], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,49. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,49:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4, 4, 4], [4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4], [], [2, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2], [4, 4, 4], [4, 4, 4], []]
[[], [], [4, 4, 4], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [], [2, 4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 4], [4, 4]]
[[], [2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], []]
[[], [], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 4], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [4], [2, 4], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [], [], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [], [], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [], [4, 4], [4, 4], [], [2, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[4], [4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 4], [2, 4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [2, 4]]
[[4], [4], [4], [2, 4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2]]
[[4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [2, 4], [4], [4], [4], [4], [], [2, 2, 2], [4], [4], [], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2]]
[[4], [], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [4], [2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [], [4], [4], [2, 4], [4], [2, 2, 2], [4], [], [4], [4], [], [2, 2, 2], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [2], [4], [2, 2], [4]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [4], [4]]
[[4], [4], [4], [4], [2, 2], [4], [], [2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4]]
[[4], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2], [4], []]
[[4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [], [2, 2], [4], [4], [4], [4], [2], [4], [4], [], [4]]
[[4], [2, 2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4]]
[[4], [], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [], [2, 2], [], [4], [4], [2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2]]
[[4], [4], [2, 2], [2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [], [4], [], [2, 2], [], [4], [2, 2], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [], [4]]
[[], [], [], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [2], [2, 2], [4], [], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [4], [], [2, 2], [], [], [2, 2], [2], [4], [4], [4], [], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [2], [4], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [], [4], [2, 2], [4], [2, 2], [], [4], [4], [], [4], [4], [], [2, 2], [], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2]]
[[], [4], [], [4], [4], [4], [4], [4], [4], [2], [4], [], [2, 2], [2, 2], [4], [], [], [], [2, 2], [4], [4], [], [4], [4], [2, 2], [2, 2], [], [], [4], [], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [4]]
[[4], [], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [], [], [2, 2], [2, 2], [], [], [4], [4], [4], [2, 2], [], [], [2, 2], [], [2, 2], [2], [2, 2], [4]]
-EndAllocation

Instance: [[1], [145], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,49. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [2, 3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3], [4, 4, 4, 4, 4], [2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2], [], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 4, 4, 4, 4]]
[[], [2, 2, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [4, 4, 4], [3], [], [2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 3]]
[[], [2, 3], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [2], [4, 4, 4], [3, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [2], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[], [], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2], [2, 2, 2, 2, 2, 2], [], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [], [], [4, 4], [2, 2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 3], [2, 2, 2, 2], [4, 4], [2, 2, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [3, 4], [], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2], [4, 4], [2, 2, 2, 2], [4, 4], [3], [4, 4], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [2], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [3, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [3], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], []]
[[], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 3], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [3, 4], [4, 4], [], [], [2], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], []]
[[], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [], [4, 4], [2], [4, 4], [], [], [4, 4], [], [4, 4], [4, 4], [3, 4], []]
[[4], [2, 2, 2], [3], [4], [2, 2, 2], [2, 4], [4], [2, 4], [4], [2, 4], [2, 4], [2, 4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [2, 4], [4], [4], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [3], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [3], [4], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 3], [4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [3], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [], [2, 2, 2], [4], [4], [4], [4], [4]]
[[4], [4], [2, 4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [], [2, 3], [4], [4], [2, 2, 2], [4], [2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 4], [2, 2, 2], [2, 2, 2], [3], [], [4], [4], [4], [4], [2, 4]]
[[4], [4], [2, 4], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [3], [4], [4], [4], [], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [], [2, 2, 2], [], [4], [4], [4]]
[[4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2], [4], [2, 2], [4], [3], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2], [2, 2], [4], [4], [4], [2, 2], [3], [2, 2], [2, 2], [], [2, 2]]
[[4], [2, 2], [4], [3], [2, 2], [2], [2, 2], [4], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4]]
[[], [4], [4], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [4], [3], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [], [4], [2, 2], [2, 2], [2], [2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [4], [2, 2], [2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], [3], [2, 2], [2, 2], [4]]
[[4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [3], [4], [2, 2], [], [2, 2], [4], [], [2, 2]]
[[4], [2, 2], [4], [4], [4], [2, 3], [], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [], [], [2, 2], [4], [4], [2, 2]]
[[4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [2, 2], [4], [], [2, 2], [], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [], [2, 2], [], [4], [2, 3], [4], [4], [2, 2], [], [4]]
[[], [4], [], [4], [2, 2], [], [2, 2], [4], [4], [4], [], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [], [], [], [2, 2], [4], [2, 2], [2, 3], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [], [], [], [4], [4], [2, 2], [], [], [2, 2], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [2, 2], [2, 3], [], [2, 2], [2, 2], [4], [], [2, 2]]
[[4], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [2, 2], [], [4], [2], [4], [], [4], [4], [], [2, 2], [4], [3], [], [4], [], [4], [4], [4], [4], []]
[[], [4], [], [], [], [2, 2], [], [2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [4], [4], [], [4], [2, 2], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [2, 2], [], [4], [3], [2, 2], [2, 2], [2, 2]]
[[4], [], [2, 2], [], [3], [4], [4], [4], [4], [], [2, 2], [], [4], [2, 2], [4], [4], [], [4], [2, 2], [4], [], [4], [2, 2], [], [], [4], [4], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [4], [2, 2], [], [2, 2], [4], [4], [], [4], [4], [2], [2, 2]]
-EndAllocation

Instance: [[1], [150], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,50. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4], [2, 2, 2, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], []]
[[], [], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4], [4, 4, 4], [2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 4, 4], [4, 4, 4], [], [], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [], [], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [2, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [], [2], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4], [], [], [2], [4, 4], [2, 2, 2, 2], [4, 4], []]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [], [2], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [2, 4], [4], [2, 2, 2], [4], [2, 4], [4], [2, 4], [4], [4], [2, 4], [4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [4], [4]]
[[4], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [4], [], [4], [4], [2, 2, 2]]
[[4], [4], [4], [2, 4], [4], [4], [4], [], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [], [4], [], [], [4], [4]]
[[4], [], [4], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [2, 2], [4], [], [4], [4], [2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2]]
[[4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [], [2, 2]]
[[4], [2, 2], [4], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [2], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [], [], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2], [4], [4]]
[[], [4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [], [2, 2], [2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [2, 2], [2], [4], [4], [4], [4], [], [4], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [4], [], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2], [], [4]]
[[4], [4], [4], [4], [4], [], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [2], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [], [], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2]]
[[], [2, 2], [4], [2, 2], [4], [2], [4], [], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [2, 2], [4], [], [], [4], [], [4], [], [4], [2, 2], [4], [4], []]
[[4], [4], [4], [2, 2], [4], [], [2, 2], [2, 2], [2], [4], [2, 2], [4], [4], [4], [], [], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [], [4], [4], [], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], []]
[[4], [4], [], [2, 2], [2, 2], [], [], [4], [], [], [4], [4], [4], [2, 2], [4], [2], [2, 2], [4], [], [4], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [], [2, 2], [], [4], [4]]
-EndAllocation

Instance: [[1], [149], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,50. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4]]
[[3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4], [2, 4], [3, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4], [3, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [2, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 3], [2, 2], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2], [4, 4, 4, 4], [4, 4, 4, 4], [3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [3, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [3], [4, 4, 4], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [2, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4], []]
[[], [], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [3], [4, 4, 4], [2]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 4], [4, 4, 4], [], [], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [3], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4]]
[[], [2, 2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [2, 2, 2, 2, 2], [4, 4], [], [], [4, 4], [4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [3, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 4], [4, 4], [4, 4]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 3], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [3], [], [4, 4], [4, 4], [2, 4], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [], [2], [3], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2], [2, 2, 2, 2], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [3], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4]]
[[], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 4], [], [], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [3, 4], [4, 4]]
[[], [2, 2, 2, 2], [], [], [], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [], [4, 4], [4], [], [], [2], [4, 4], [2, 2, 2, 2], [3, 4], []]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [3], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [], [2], [4, 4], [], [4, 4], [], [2, 2, 2, 2], [4, 4]]
[[4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [2, 4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [2, 4], [3], [2, 2, 2], [4], [2, 4], [4], [2, 4], [4], [4], [2, 4], [4]]
[[4], [2, 4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4], [2, 4], [4], [2, 4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [2, 2, 2], [4], [2, 4], [2, 2, 2], [4], [4], [3], [4]]
[[4], [4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [3], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [2, 4], [4], [4], [4], [4], [4], [4], [4], [4]]
[[4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 3], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 3], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4]]
[[4], [4], [4], [4], [2, 2, 2], [], [4], [4], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 2, 2], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [2, 4], [4], [4], [2, 2, 2], [3], [], [4], [4], [2, 2, 2]]
[[4], [4], [4], [2, 4], [4], [4], [4], [], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [2, 2, 2], [2, 4], [2, 4], [4], [4], [4], [4], [2, 4], [2, 2, 2], [], [2, 2, 2], [2, 2, 2], [2, 4], [4], [2, 2, 2], [], [], [4], [], [3], [4], [4]]
[[4], [], [4], [4], [2, 2, 2], [], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [4], [3], [2, 2, 2], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [], [4], [2, 2, 2], [], [4], [4], [4], [4], [2, 2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 3], [4], [4], [4], [4], [4], [4], [4], [4], [], [2, 2], [2, 2], [4]]
[[4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [3], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [], [4], [4], [4], [4], [2, 2], [4], [4], [2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2]]
[[4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [4], [2, 2], [3], [], [4], [4], [2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2]]
[[], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 3], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [4], [], [2, 2]]
[[4], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [], [4], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [4], [2, 2], [4], [], [4], [2, 2], [4], [2, 3], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4]]
[[], [4], [4], [4], [2, 2], [], [], [4], [4], [4], [4], [4], [4], [], [4], [2, 2], [], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [3], [4], [4], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2], [4], [4]]
[[], [4], [], [4], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [4], [4], [], [2, 2], [2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [4], [4], [3], [4], [4], [2, 2], [], [4], [4], [2, 2], [4], [4], [4], [4]]
[[4], [], [4], [2, 2], [], [2, 2], [4], [4], [4], [4], [], [2, 2], [4], [4], [], [2, 2], [2], [4], [4], [4], [4], [], [3], [4], [], [4], [4], [], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [4]]
[[4], [], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [], [2, 3], [4], [4], [], [], [2, 2], [2, 2], [4], [4], [4], [4], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [2, 2], [2, 2], [4], [2, 2], [], [4]]
[[4], [4], [4], [4], [4], [], [4], [4], [], [4], [], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [], [2, 2], [2, 3], [2, 2], [4], [], [4], [4], [4], [2, 2], [4], [], [], [], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2]]
[[], [2, 2], [4], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 3], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [], [4], [4], [], [4], [2, 2], [], [], [], [4], [], [4], [], [4], [2, 2], [4], [4], []]
[[4], [], [4], [2, 2], [4], [], [2, 2], [2, 2], [2], [4], [2, 2], [4], [4], [4], [], [], [], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [], [4], [4], [3], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], []]
[[4], [4], [], [2, 2], [2, 2], [], [], [4], [], [], [4], [4], [4], [2, 2], [4], [2], [2, 2], [4], [3], [], [2, 2], [2, 2], [], [4], [4], [4], [], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [], [4], [], [2, 2], [], [4], [4]]
-EndAllocation

Instance: [[1], [148], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]; Results for m' = 2,...,50. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3]
Allocation for m' = 2,...,50:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[4], [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4]]
[[], [2, 2, 2], [4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [2, 4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], []]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [], [2, 2], [4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 4, 4], [], [4, 4, 4]]
[[], [], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4]]
[[], [4, 4], [2, 2, 2, 2, 2], [], [2, 4, 4], [4, 4], [2, 2, 2], [4, 4], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [2, 4, 4]]
[[], [4], [2, 2, 2, 2, 2], [], [], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4], [], [4, 4], [2, 2, 2, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [2, 4, 4]]
[[], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [2, 2, 4], [4, 4]]
[[], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 4], [4], [2, 2, 2, 2]]
[[], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4, 4], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [2, 2], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [2, 2, 2, 2], []]
[[], [4, 4], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [2, 2, 2, 2]]
[[], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [], [], [4, 4], [], [2, 2], [], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4]]
[[], [4, 4], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [2, 2], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [2, 2, 2, 2], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [2, 2, 2, 2], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 2, 2], [], [4, 4], [], [2, 2, 2, 2], [], [2, 2, 4], [4, 4], [], [], [], [4, 4], [4, 4], [2, 2, 2, 2], [], [4, 4], [4], [2, 2, 2, 2]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 4], [2, 4], [2, 4], [2, 4], [4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [2, 4], [4], [2, 2, 2], [2, 4], [4], [2, 2, 2], [4], [4], [2, 4]]
[[4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [2, 4], [2, 4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 4], [4], [2, 2, 2], [2, 2, 2], [2, 4], [4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [2, 2, 2], [4], [2, 4], [4], [4]]
[[4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4]]
[[4], [2, 4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [4], [4], [2, 2, 2], [4], [2, 2, 2], [], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [4], [2, 2, 2], [4], [4], [4], [4], [4], [2, 4], [4]]
[[4], [4], [], [4], [4], [2, 2, 2], [4], [4], [4], [2, 4], [4], [2, 2, 2], [4], [4], [4], [4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4], [4], [], [2, 2, 2], [2, 2, 2], [4], [], [2, 4], [2, 2, 2], [4], [4], [2, 2, 2], [4], [4]]
[[4], [4], [4], [4], [4], [4], [4], [2, 4], [], [4], [4], [2, 2, 2], [2, 2, 2], [4], [4], [4], [4], [4], [4], [], [], [2, 2, 2], [2, 2, 2], [2, 2, 2], [], [4], [4], [4], [2, 4], [4], [4], [4], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2]]
[[4], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [4], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2]]
[[4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [2, 2], [4], []]
[[4], [], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [2, 2]]
[[4], [4], [4], [2, 2], [4], [4], [4], [], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [4], [2, 2], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [4], [4], [2, 2], [], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [2, 2], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [2, 2], [4], [], [4], [], [4], [2, 2], [4], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [4], [4]]
[[4], [2, 2], [4], [4], [4], [4], [4], [4], [4], [], [4], [], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [2, 2], [4], [4], [2, 2], [2, 2], [4], [], [4], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [2, 2], [4], [], [4]]
[[4], [4], [4], [4], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [], [2, 2], [4], [], [4], [2, 2], [4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [4], [4], [4], [], [4], [4], [], [2, 2], [2, 2], [4], [4]]
[[4], [4], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [2, 2], [], [4], [4], [4], [], [4], [], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [2, 2]]
[[4], [2, 2], [4], [2, 2], [4], [], [2, 2], [2, 2], [], [4], [], [], [2, 2], [4], [4], [4], [4], [2, 2], [4], [2, 2], [4], [], [4], [2, 2], [], [4], [], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [2, 2], [4], [4], [], [2, 2], [4], [2, 2], [4]]
[[4], [2, 2], [4], [4], [4], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [4], [2, 2], [2, 2], [2, 2], [], [], [4], [4], [], [2, 2], [4], [], [4], [2, 2], [2, 2], [], [4], [4], [], [4], [4], [4], [], [4], [2, 2], [], [4], [4], [4], [4], [4], [], [4], [4], [4]]
[[4], [], [], [4], [2, 2], [4], [4], [4], [2, 2], [], [4], [2, 2], [4], [2, 2], [4], [], [2, 2], [], [2, 2], [4], [], [], [2, 2], [4], [4], [4], [4], [], [4], [4], [], [4], [4], [4], [], [2, 2], [4], [2, 2], [2, 2], [4], [2, 2], [4], [4], [4], [4], [2, 2], [2, 2]]
[[4], [4], [4], [], [], [2, 2], [2, 2], [], [2, 2], [4], [4], [2, 2], [4], [], [4], [4], [4], [4], [], [2, 2], [2, 2], [], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [], [], [4], [4], [2, 2], [4], [2, 2], [4], [4], [2, 2], [4], [4], [4], [4], [4], [4], [], []]
[[], [4], [], [2, 2], [4], [], [], [2, 2], [4], [4], [2, 2], [4], [], [2, 2], [4], [4], [4], [4], [], [4], [4], [4], [4], [4], [2, 2], [4], [4], [2, 2], [4], [], [4], [], [2, 2], [2, 2], [4], [4], [], [], [2, 2], [4], [], [2, 2], [2, 2], [2, 2], [4], [4], [2, 2], [], [4]]
[[], [], [4], [], [], [4], [4], [], [4], [4], [4], [4], [4], [], [2, 2], [4], [], [4], [4], [4], [4], [4], [4], [2, 2], [], [4], [4], [], [4], [4], [4], [], [2, 2], [2, 2], [2, 2], [2, 2], [2, 2], [], [4], [2, 2], [2, 2], [], [2, 2], [2, 2], [2, 2], [4], [4], [4], [2, 2], []]
-EndAllocation

Instance: [[1], [12], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4]; Results for m' = 2,...,3. UB Alg: [8, 5], Opt: [6, 4]
Allocation for m' = 2,...,3:
-StartAllocation
[[4, 4], [4]]
[[4], [4], [4]]
-EndAllocation

Instance: [[1], [11], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4]; Results for m' = 2,...,3. UB Alg: [8, 5], Opt: [6, 4]
Allocation for m' = 2,...,3:
-StartAllocation
[[3, 4], [4]]
[[3], [4], [4]]
-EndAllocation

Instance: [[1], [16], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 5]; Results for m' = 2,...,4. UB Alg: [10, 8, 5], Opt: [8, 6, 4]
Allocation for m' = 2,...,4:
-StartAllocation
[[3, 4], [4, 5]]
[[4, 4], [3], [5]]
[[4], [4], [5], [3]]
-EndAllocation

Instance: [[1], [18], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5]; Results for m' = 2,...,5. UB Alg: [12, 8, 6, 5], Opt: [9, 6, 5, 4]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 5], [3, 3, 3]]
[[3, 4], [3, 3], [5]]
[[3, 3], [4], [5], [3]]
[[3], [3], [4], [3], [5]]
-EndAllocation

Instance: [[1], [17], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4]; Results for m' = 2,...,5. UB Alg: [12, 8, 6, 5], Opt: [9, 6, 5, 4]
Allocation for m' = 2,...,5:
-StartAllocation
[[3, 3, 3], [4, 4]]
[[4, 4], [3, 3], [3]]
[[3, 3], [3], [4], [4]]
[[3], [4], [3], [4], [3]]
-EndAllocation

Instance: [[1], [24], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 5, 5]; Results for m' = 2,...,6. UB Alg: [16, 10, 8, 6, 5], Opt: [12, 8, 6, 5, 4]
Allocation for m' = 2,...,6:
-StartAllocation
[[3, 3, 4, 4], [5, 5]]
[[4, 4], [3, 3], [5, 5]]
[[3, 3], [4, 4], [5], [5]]
[[3, 3], [5], [5], [4], [4]]
[[3], [4], [4], [3], [5], [5]]
-EndAllocation

Instance: [[1], [23], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5, 5]; Results for m' = 2,...,6. UB Alg: [16, 10, 8, 6, 5], Opt: [12, 8, 6, 5, 4]
Allocation for m' = 2,...,6:
-StartAllocation
[[3, 3, 3, 4], [5, 5]]
[[4, 5], [3, 3, 3], [5]]
[[3, 4], [3, 5], [], [3, 5]]
[[3, 3], [5], [3], [5], [4]]
[[4], [3], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [22], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 5]; Results for m' = 2,...,6. UB Alg: [14, 10, 8, 6, 5], Opt: [11, 8, 6, 5, 4]
Allocation for m' = 2,...,6:
-StartAllocation
[[3, 3, 3, 3], [5, 5]]
[[5, 5], [3, 3, 3], [3]]
[[3, 3], [5], [5], [3, 3]]
[[3, 3], [3, 3], [5], [5], []]
[[5], [3], [3], [3], [5], [3]]
-EndAllocation

Instance: [[1], [21], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 5]; Results for m' = 2,...,6. UB Alg: [14, 9, 8, 6, 5], Opt: [11, 7, 6, 5, 4]
Allocation for m' = 2,...,6:
-StartAllocation
[[3, 4, 5], [3, 3, 3]]
[[3, 4], [5], [3, 3, 3]]
[[3, 3], [5], [4], [3, 3]]
[[4], [3, 3], [], [5], [3, 3]]
[[3], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [28], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 5, 5]; Results for m' = 2,...,7. UB Alg: [18, 13, 9, 8, 6, 5], Opt: [14, 10, 7, 6, 5, 4]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 5, 5], [3, 3, 4]]
[[3, 3, 4], [5, 5], [4, 4]]
[[4, 4], [3, 3], [5], [4, 5]]
[[3, 3], [5], [4], [4, 4], [5]]
[[3, 3], [5], [4], [5], [4], [4]]
[[3], [3], [4], [5], [4], [4], [5]]
-EndAllocation

Instance: [[1], [27], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 5, 5]; Results for m' = 2,...,7. UB Alg: [18, 12, 9, 8, 6, 5], Opt: [14, 9, 7, 6, 5, 4]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 5, 5], [3, 3, 3]]
[[5, 5], [3, 3, 3], [4, 4]]
[[3, 4], [3, 3], [4, 5], [5]]
[[3, 5], [4, 4], [3, 3], [5], []]
[[3, 3], [5], [5], [3], [4], [4]]
[[3], [4], [5], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [26], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 5, 5]; Results for m' = 2,...,7. UB Alg: [17, 12, 9, 8, 6, 5], Opt: [13, 9, 7, 6, 5, 4]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 5, 5], [3, 3, 3, 3]]
[[5, 5], [3, 3, 3, 3], [4]]
[[3, 3, 3], [3], [4, 5], [5]]
[[3, 5], [4], [3], [5], [3, 3]]
[[3, 3], [5], [], [3, 3], [4], [5]]
[[3], [4], [5], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [25], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 5]; Results for m' = 2,...,7. UB Alg: [17, 12, 9, 6, 6, 5], Opt: [13, 9, 7, 5, 5, 4]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 3, 3, 5], [4, 4]]
[[3, 4, 4], [5], [3, 3, 3]]
[[3, 3, 3], [5], [4, 4], [3]]
[[4], [3, 3], [5], [4], [3, 3]]
[[4], [3, 3], [4], [5], [3, 3], []]
[[3], [4], [4], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [32], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4, 5, 5]; Results for m' = 2,...,8. UB Alg: [21, 14, 10, 9, 8, 6, 5], Opt: [16, 11, 8, 7, 6, 5, 4]
Allocation for m' = 2,...,8:
-StartAllocation
[[3, 5, 5], [3, 4, 4, 4, 4]]
[[4, 5, 5], [3, 3], [4, 4, 4]]
[[3, 3, 4], [4, 4], [4], [5, 5]]
[[4, 5], [4], [4, 4], [3, 3], [5]]
[[3, 5], [], [3, 5], [4, 4], [], [4, 4]]
[[5], [3, 3], [4], [4], [4], [4], [5]]
[[4], [4], [3], [5], [4], [4], [3], [5]]
-EndAllocation

Instance: [[1], [31], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 5, 5]; Results for m' = 2,...,8. UB Alg: [21, 14, 10, 9, 8, 6, 5], Opt: [16, 11, 8, 7, 6, 5, 4]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5], [3, 3, 3, 4, 4, 4]]
[[3, 5, 5], [3, 3], [4, 4, 4]]
[[3, 3, 3], [4, 4], [4], [5, 5]]
[[4, 5], [], [4, 4], [3, 3, 3], [5]]
[[3, 5], [], [3, 5], [4], [3], [4, 4]]
[[3, 3], [3], [4], [4], [5], [4], [5]]
[[4], [4], [3], [5], [5], [4], [3], [3]]
-EndAllocation

Instance: [[1], [30], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 5, 5]; Results for m' = 2,...,8. UB Alg: [20, 13, 10, 8, 6, 6, 5], Opt: [15, 10, 8, 6, 5, 5, 4]
Allocation for m' = 2,...,8:
-StartAllocation
[[3, 4, 4], [3, 3, 3, 5, 5]]
[[4, 4, 5], [5], [3, 3, 3, 3]]
[[3, 5], [4], [3, 3, 3], [4, 5]]
[[3, 3], [5], [4, 4], [5], [3, 3]]
[[3, 3], [3, 3], [4], [5], [4], [5]]
[[3, 3], [4], [], [5], [5], [3, 3], [4]]
[[3], [5], [4], [3], [5], [3], [3], [4]]
-EndAllocation

Instance: [[1], [29], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 5]; Results for m' = 2,...,8. UB Alg: [20, 13, 10, 8, 6, 6, 5], Opt: [15, 10, 8, 6, 5, 5, 4]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4], [3, 3, 3, 3, 5]]
[[4, 4, 4], [5], [3, 3, 3, 3]]
[[3, 5], [4], [3, 3, 3], [4, 4]]
[[3, 3], [4], [4, 4], [5], [3, 3]]
[[3, 3], [3, 3], [4], [4], [4], [5]]
[[4], [4], [], [5], [3, 3], [3, 3], [4]]
[[3], [5], [4], [3], [4], [3], [3], [4]]
-EndAllocation

Instance: [[1], [36], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 5, 5, 5]; Results for m' = 2,...,9. UB Alg: [24, 16, 12, 10, 8, 8, 6, 5], Opt: [18, 12, 9, 8, 6, 6, 5, 4]
Allocation for m' = 2,...,9:
-StartAllocation
[[3, 3, 3, 4, 4, 4], [5, 5, 5]]
[[3, 4, 4, 4], [5, 5, 5], [3, 3]]
[[3, 4, 5], [3, 3], [5, 5], [4, 4]]
[[4, 4], [5], [5, 5], [4], [3, 3, 3]]
[[4, 4], [3, 3], [5], [5], [5], [3, 4]]
[[3, 4], [3, 5], [], [5], [3, 5], [], [4, 4]]
[[4], [5], [3], [4], [3, 3], [5], [4], [5]]
[[4], [4], [3], [5], [3], [4], [5], [5], [3]]
-EndAllocation

Instance: [[1], [35], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 5, 5, 5]; Results for m' = 2,...,9. UB Alg: [24, 16, 12, 9, 8, 6, 6, 5], Opt: [18, 12, 9, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 5, 5, 5], [3, 3, 3, 3]]
[[3, 4, 4, 5], [5, 5], [3, 3, 3]]
[[3, 4, 4], [3, 3, 3], [5, 5], [5]]
[[3, 5], [4], [4, 5], [3, 3, 3], [5]]
[[3, 5], [3, 3], [3, 5], [], [5], [4, 4]]
[[3, 3], [4], [3, 3], [4], [5], [5], [5]]
[[3, 3], [4], [3, 3], [5], [5], [5], [4], []]
[[3], [3], [5], [4], [4], [5], [5], [3], [3]]
-EndAllocation

Instance: [[1], [34], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 5, 5]; Results for m' = 2,...,9. UB Alg: [22, 16, 12, 9, 8, 6, 6, 5], Opt: [17, 12, 9, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 5, 5], [3, 3, 3, 3]]
[[3, 4, 4, 4], [5, 5], [3, 3, 3]]
[[4, 4, 4], [3, 3, 3, 3], [5, 5], []]
[[3, 5], [4], [4, 4], [3, 3, 3], [5]]
[[3, 5], [3, 4], [5], [], [3, 3], [4, 4]]
[[4], [4], [3, 3], [4], [3, 3], [5], [5]]
[[3, 3], [4], [3, 3], [5], [4], [5], [4], []]
[[3], [3], [5], [4], [4], [3], [5], [3], [4]]
-EndAllocation

Instance: [[1], [33], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 5]; Results for m' = 2,...,9. UB Alg: [22, 14, 12, 9, 8, 6, 6, 5], Opt: [17, 11, 9, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 4, 5], [3, 3, 3, 3]]
[[3, 4, 5], [4, 4, 4], [3, 3, 3]]
[[4, 4, 4], [3, 3, 3, 3], [4, 5], []]
[[3, 4], [4], [4, 4], [3, 3, 3], [5]]
[[3, 3], [3, 3], [4, 4], [], [5], [4, 4]]
[[4], [4], [3, 3], [4], [4], [5], [3, 3]]
[[3, 3], [4], [3, 3], [5], [4], [], [4], [4]]
[[3], [3], [4], [4], [4], [3], [5], [3], [4]]
-EndAllocation

Instance: [[1], [40], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 4, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,10. UB Alg: [26, 18, 13, 10, 9, 8, 6, 6, 5], Opt: [20, 14, 10, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 4, 5], [5, 5, 5, 5, 5]]
[[5], [2, 5, 5, 5], [2, 2, 4, 5, 5]]
[[5, 5], [2, 2, 2, 5], [5, 5], [4, 5]]
[[5], [5, 5], [5, 5], [4, 5], [2, 2, 2]]
[[5], [5], [4, 5], [2, 5], [5], [2, 2, 5]]
[[5], [5], [2, 5], [2, 5], [4], [5], [2, 5]]
[[5], [5], [5], [4], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [2, 2], [5], [], [2, 4], [5]]
[[], [2, 2], [5], [5], [4], [2], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [39], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 3, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,10. UB Alg: [26, 17, 13, 10, 9, 8, 6, 6, 5], Opt: [20, 13, 10, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 3, 5], [5, 5, 5, 5, 5]]
[[2, 3], [2, 5, 5, 5], [2, 5, 5, 5]]
[[5], [2, 2, 2, 5], [5, 5], [3, 5, 5]]
[[5], [5, 5], [5, 5], [3, 5], [2, 2, 2]]
[[5], [5], [3, 5], [2, 5], [5], [2, 2, 5]]
[[5], [5], [2, 2], [3, 5], [5], [5], [2, 5]]
[[5], [3], [5], [5], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [3], [5], [], [2, 2, 2], [5]]
[[], [2, 2], [5], [3], [5], [2], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [38], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,10. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 2, 5], [5, 5, 5, 5, 5]]
[[2, 2], [2, 5, 5, 5], [2, 5, 5, 5]]
[[5], [2, 2, 2, 2, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2]]
[[5], [5], [5], [2, 2, 5], [5], [2, 2, 5]]
[[5], [5], [2, 2], [2, 5], [5], [5], [2, 5]]
[[5], [5], [5], [5], [2], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [2], [5], [], [2, 2, 2], [5]]
[[], [2, 2], [5], [5], [5], [2, 2], [5], [5], [5], []]
-EndAllocation

Instance: [[1], [37], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4, 5, 5, 5]; Results for m' = 2,...,10. UB Alg: [25, 17, 13, 10, 9, 8, 6, 6, 5], Opt: [19, 13, 10, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 3, 4, 5, 5, 5], [4, 4, 4]]
[[4, 4, 4, 4], [3, 3], [5, 5, 5]]
[[3, 5, 5], [5], [3, 4], [4, 4, 4]]
[[4, 4], [4, 4], [3, 3], [5, 5], [5]]
[[4, 5], [3, 3], [4, 5], [5], [4, 4], []]
[[4, 4], [4, 4], [5], [5], [3, 3], [5], []]
[[4], [5], [4], [3, 3], [5], [4], [5], [4]]
[[4], [4], [5], [4], [5], [4], [], [3, 3], [5]]
[[4], [3], [4], [], [4], [5], [5], [5], [4], [3]]
-EndAllocation

Instance: [[1], [44], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5]; Results for m' = 2,...,11. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,11:
-StartAllocation
[[3, 3, 3, 5, 5, 5, 5], [3, 4, 4, 4]]
[[3, 4, 4, 4, 5], [5, 5, 5], [3, 3, 3]]
[[4, 4, 5], [5], [4, 5, 5], [3, 3, 3, 3]]
[[5, 5], [5, 5], [], [3, 3, 3, 3], [4, 4, 4]]
[[3, 3, 4], [5, 5], [4, 4], [5, 5], [3, 3], []]
[[3, 5], [5], [4, 4], [4, 5], [], [3, 3, 3], [5]]
[[3, 4], [5], [5], [3, 5], [5], [], [4, 4], [3, 3]]
[[3, 3], [4], [5], [5], [4], [3, 3], [5], [4], [5]]
[[3, 3], [4], [3, 3], [5], [5], [4], [5], [5], [], [4]]
[[4], [3], [5], [3], [3], [4], [4], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [43], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,11. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6, 6, 5], Opt: [22, 15, 11, 9, 8, 7, 6, 5, 5, 4]
Allocation for m' = 2,...,11:
-StartAllocation
[[5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5], [2, 2, 2, 2, 5, 5]]
[[5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5]]
[[5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5]]
[[], [5, 5], [2, 2, 2, 2], [5, 5], [5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [2], [5], [5]]
[[5], [5], [5], [2], [], [5], [5], [5], [5], [2, 2, 2]]
[[5], [], [5], [5], [], [2, 2], [2, 2], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [42], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,11. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,11:
-StartAllocation
[[2, 2, 2, 4, 5], [2, 5, 5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 4, 5], [5, 5, 5]]
[[5], [5, 5], [4, 5, 5], [2, 2, 2, 2, 5]]
[[], [5, 5], [5, 5], [2, 5, 5], [2, 2, 2, 4]]
[[5], [5], [2, 2, 5], [4, 5], [5], [2, 2, 5]]
[[5], [2, 5], [2, 5], [5], [2, 5], [4], [2, 5]]
[[5], [4], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [2], [4]]
[[5], [5], [2, 2, 2], [], [5], [4], [5], [5], [5], [2]]
[[5], [5], [2, 2], [5], [], [4], [5], [5], [], [5], [2, 2]]
-EndAllocation

Instance: [[1], [41], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,11. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6, 6, 5], Opt: [21, 14, 11, 9, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,11:
-StartAllocation
[[2, 2, 2, 2, 5], [3, 5, 5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 3, 5], [5, 5, 5]]
[[5], [3, 5, 5], [5, 5], [2, 2, 2, 2, 5]]
[[], [5, 5], [5, 5], [2, 5, 5], [2, 2, 2, 3]]
[[5], [3, 5], [5], [2, 2, 5], [5], [2, 2, 5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [3, 5], [5]]
[[5], [5], [5], [], [2, 2, 2, 2], [5], [5], [3, 5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [3], [2], [5]]
[[5], [5], [2, 2, 2], [], [5], [5], [], [2, 3], [5], [5]]
[[5], [5], [2, 2], [5], [], [5], [5], [], [2], [5], [2, 3]]
-EndAllocation

Instance: [[1], [48], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5]; Results for m' = 2,...,12. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 5]]
[[3, 3, 3, 3, 5], [5, 5, 5], [4, 4, 4, 4]]
[[4, 4, 5], [3, 3, 3, 3], [4, 4], [5, 5, 5]]
[[3, 3, 3, 4], [4, 4, 4], [3, 5, 5], [], [5, 5]]
[[3, 3, 3], [3, 4], [5, 5], [4], [4, 4], [5, 5]]
[[4, 4], [4, 5], [3, 3, 3], [4, 5], [], [3, 5], [5]]
[[4, 4], [3, 5], [3, 3], [5], [3, 5], [5], [4, 4], []]
[[3, 5], [5], [], [5], [4, 4], [3], [4, 4], [5], [3, 3]]
[[3, 3], [5], [4], [5], [5], [3, 3], [4], [4], [4], [5]]
[[3, 3], [4], [3, 3], [5], [5], [5], [4], [4], [5], [], [4]]
[[3], [4], [4], [3], [5], [3], [4], [4], [3], [5], [5], [5]]
-EndAllocation

Instance: [[1], [47], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5]; Results for m' = 2,...,12. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3]]
[[3, 3, 3, 3, 3, 5], [5, 5, 5], [4, 4, 4]]
[[3, 4, 4, 5], [], [3, 3, 3, 3, 4], [5, 5, 5]]
[[3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [], [5, 5]]
[[3, 3, 3], [3, 3, 4], [5, 5], [], [4, 4], [5, 5]]
[[3, 4], [4, 5], [3, 3, 3], [4, 5], [], [3, 5], [5]]
[[3, 4], [3, 5], [3, 3], [5], [3, 5], [5], [4, 4], []]
[[3, 5], [5], [], [5], [4], [3, 3], [4, 4], [5], [3, 3]]
[[3, 3], [5], [4], [5], [3], [3, 3], [4], [4], [5], [5]]
[[3, 3], [5], [3, 3], [5], [5], [3], [4], [4], [5], [], [4]]
[[3], [4], [4], [3], [5], [3], [3], [4], [3], [5], [5], [5]]
-EndAllocation

Instance: [[1], [46], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5]; Results for m' = 2,...,12. UB Alg: [30, 21, 16, 13, 10, 9, 8, 8, 6, 6, 5], Opt: [23, 16, 12, 10, 8, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4]]
[[3, 3, 4, 5], [], [3, 3, 3, 3, 4], [5, 5, 5]]
[[3, 5, 5], [4, 4], [3, 3, 3, 3], [], [3, 5, 5]]
[[3, 3, 3], [3, 3, 3], [5, 5], [], [4, 4], [5, 5]]
[[3, 3, 3], [4, 5], [3, 3], [4, 5], [], [3, 5], [5]]
[[3, 3], [3, 5], [3, 3], [5], [3, 5], [5], [4, 4], []]
[[3, 5], [5], [], [5], [], [3, 3], [4, 4], [3, 5], [3, 3]]
[[3, 3], [5], [5], [5], [3, 3], [3, 3], [4], [4], [], [5]]
[[3, 3], [5], [3, 3], [], [5], [5], [4], [4], [5], [], [3, 3]]
[[3], [4], [4], [3], [5], [3], [3], [5], [3], [5], [3], [5]]
-EndAllocation

Instance: [[1], [45], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 4, 4, 4, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,12. UB Alg: [30, 20, 16, 12, 10, 9, 8, 6, 6, 6, 5], Opt: [23, 15, 12, 9, 8, 7, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 5, 5], [1, 1, 1, 4, 4, 4, 5, 5, 5]]
[[5, 5], [1, 1, 1, 5, 5, 5], [4, 4, 4, 5]]
[[], [1, 5, 5, 5], [1, 1, 4, 4, 4], [5, 5, 5]]
[[], [5, 5], [1, 1, 5, 5], [4, 4, 4], [1, 5, 5]]
[[], [5, 5], [5, 5], [1, 1, 1, 5], [4, 5], [4, 4]]
[[5], [4, 5], [1, 1, 1, 4], [5], [5], [4, 5], [5]]
[[5], [5], [1, 1, 1, 5], [5], [4], [4, 4], [5], [5]]
[[4], [5], [5], [5], [4], [1, 1, 4], [5], [5], [1, 5]]
[[5], [5], [1, 1, 1], [4], [5], [5], [5], [5], [4], [4]]
[[4], [5], [5], [5], [1, 1, 1], [5], [5], [5], [4], [4], []]
[[], [4], [5], [5], [], [5], [5], [5], [4], [4], [5], [1, 1, 1]]
-EndAllocation

Instance: [[1], [52], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,13. UB Alg: [34, 24, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5], Opt: [26, 18, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 5, 5], [4, 5, 5, 5, 5, 5, 5]]
[[2, 2], [2, 2, 5, 5, 5, 5], [4, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 4, 5], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [4, 5, 5], [5, 5], [2, 2, 2, 2, 5]]
[[5], [4, 5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5]]
[[], [5], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 5]]
[[5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5]]
[[5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 2, 4], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4], [5]]
[[5], [5], [5], [5], [4], [5], [2], [5], [5], [5], [2, 2, 2]]
[[5], [5], [4], [5], [5], [2], [5], [5], [5], [5], [2, 2, 2], []]
[[], [5], [5], [2, 2], [5], [4], [5], [2, 2], [5], [], [5], [5], [5]]
-EndAllocation

Instance: [[1], [51], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,13. UB Alg: [34, 22, 17, 14, 12, 10, 9, 8, 8, 6, 6, 5], Opt: [26, 17, 13, 11, 9, 8, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 4, 5], [4, 5, 5, 5, 5, 5, 5]]
[[2, 2, 4], [2, 4, 5, 5, 5], [2, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 4, 4], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [4, 4, 5], [5, 5], [2, 2, 2, 2, 5]]
[[5], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5]]
[[], [5], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4]]
[[5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 4]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [], [5], [2, 2, 2, 2], [5], [4, 4], [5]]
[[5], [5], [5], [5], [4], [5], [2, 4], [], [5], [5], [2, 2, 2]]
[[5], [5], [4], [5], [5], [2], [5], [5], [], [5], [2, 2, 2], [4]]
[[4], [5], [5], [2, 2], [], [4], [5], [2, 2], [5], [], [5], [5], [5]]
-EndAllocation

Instance: [[1], [50], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5]; Results for m' = 2,...,13. UB Alg: [33, 22, 17, 13, 12, 10, 9, 8, 6, 6, 6, 5], Opt: [25, 17, 13, 10, 9, 8, 7, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5]]
[[5, 5, 5], [3, 3, 4, 4], [3, 3, 3, 3, 5], [4]]
[[3, 3, 3, 4], [5, 5], [5, 5], [4], [3, 3, 3, 4]]
[[3, 3, 3, 3], [], [5, 5], [4, 4, 4], [3, 3], [5, 5]]
[[3, 3, 3], [4], [3, 3, 3], [5, 5], [], [5, 5], [4, 4]]
[[3, 3, 3], [5], [3, 3, 3], [4, 5], [5], [], [4], [4, 5]]
[[3, 3], [3, 3], [3, 3], [5], [5], [5], [5], [4, 4], [4]]
[[3, 3], [5], [5], [4], [4], [5], [5], [3, 3], [4], [3, 3]]
[[3, 3], [5], [3, 3], [5], [4], [5], [3, 3], [4], [4], [], [5]]
[[3, 3], [3, 3], [5], [4], [5], [], [4], [5], [4], [], [3, 3], [5]]
[[3], [3], [3], [4], [3], [3], [5], [5], [4], [4], [5], [5], [3]]
-EndAllocation

Instance: [[1], [49], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,13. UB Alg: [33, 22, 17, 13, 12, 9, 9, 8, 6, 6, 6, 5], Opt: [25, 17, 13, 10, 9, 7, 7, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,13:
-StartAllocation
[[2, 2, 2, 2, 4, 5], [2, 5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5]]
[[], [2, 5, 5, 5], [2, 2, 2, 2, 4, 5], [5, 5, 5]]
[[5], [2, 5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 4]]
[[], [4, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [2, 2, 5], [2, 5], [4, 5], [5], [2, 2, 5], [5]]
[[5], [5], [2, 5], [5], [5], [4, 5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [4], [5], [5], [2, 5]]
[[5], [5], [5], [4], [5], [5], [2, 2], [5], [5], [2, 2, 2]]
[[], [2, 2, 2], [2, 4], [5], [5], [5], [5], [5], [2], [5], [5]]
[[], [5], [2, 2, 2], [2, 2], [5], [5], [4], [5], [5], [5], [], [5]]
[[], [5], [2], [], [2, 2], [5], [5], [4], [5], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [56], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,14. UB Alg: [37, 25, 18, 16, 13, 10, 9, 9, 8, 8, 6, 6, 5], Opt: [28, 19, 14, 12, 10, 8, 7, 7, 6, 6, 5, 5, 4]
Allocation for m' = 2,...,14:
-StartAllocation
[[2, 2, 5, 5, 5], [2, 2, 4, 4, 5, 5, 5, 5, 5]]
[[2, 2, 2], [5, 5, 5, 5, 5], [2, 4, 4, 5, 5, 5]]
[[5], [4, 4, 5, 5], [2, 2, 2, 2, 5, 5], [5, 5, 5]]
[[], [5, 5], [5, 5, 5], [2, 2, 2, 2, 4, 4], [5, 5, 5]]
[[5], [5, 5], [4, 5], [2, 2, 2, 2, 4], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2]]
[[5], [2, 2, 5], [5], [5], [4, 5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [4, 4], [5], [2, 2, 5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [4], [2, 2, 2], [2], [5], [5], [4], [5], [5]]
[[4], [2, 2, 2], [2], [5], [5], [], [5], [5], [5], [5], [5], [4], [5]]
[[5], [], [5], [4], [2, 2], [5], [5], [4], [5], [5], [2, 2], [5], [5], []]
-EndAllocation

Instance: [[1], [55], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,14. UB Alg: [37, 25, 18, 14, 13, 10, 9, 9, 8, 6, 6, 6, 5], Opt: [28, 19, 14, 11, 10, 8, 7, 7, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 4, 5, 5], [1, 1, 1, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [1, 1, 1, 5, 5, 5, 5], [4, 4, 4, 5, 5]]
[[5], [4, 4, 4, 5], [5, 5, 5], [1, 1, 1, 5, 5, 5]]
[[5, 5], [1, 1, 1, 5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [5, 5], [4, 4, 4], [5, 5], [1, 1, 1, 5, 5]]
[[], [5, 5], [5], [5, 5], [1, 4, 5], [1, 1, 4, 4], [5, 5]]
[[5], [5], [4, 5], [4, 5], [4, 5], [5], [1, 1, 1, 5], [5]]
[[5], [4, 4], [1, 1, 1, 5], [5], [4, 5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [1, 1, 1, 5], [4, 4], [5], [4], [5]]
[[5], [5], [5], [4], [5], [5], [1, 5], [1, 5], [4], [1, 5], [4]]
[[4], [5], [4], [1, 1, 1], [5], [5], [5], [5], [5], [5], [5], [4]]
[[5], [5], [], [4], [5], [4], [5], [5], [5], [5], [4], [5], [1, 1, 1]]
[[5], [5], [1, 1, 1], [5], [5], [4], [4], [], [], [5], [4], [5], [5], [5]]
-EndAllocation

Instance: [[1], [54], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,14. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5, 5]]
[[5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 5, 5], [5, 5]]
[[4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [4, 5], [2, 2, 2, 2, 2]]
[[5], [5], [5], [2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [5]]
[[5], [2, 2, 4], [2, 5], [5], [5], [2, 5], [2, 5], [5], [5]]
[[5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [4], [5], [5], [5]]
[[5], [5], [2], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [2, 2], [5], [5], [], [5], [5], [5], [4]]
[[5], [5], [2, 2], [4], [5], [], [5], [2, 2, 2], [5], [], [5], [5], [5]]
[[5], [5], [2, 2], [5], [5], [4], [], [2, 2], [], [5], [2], [5], [5], [5]]
-EndAllocation

Instance: [[1], [53], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,14. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 4, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 4, 5]]
[[5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5]]
[[4], [5, 5], [4, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2]]
[[5], [5], [5], [2, 5], [4, 4], [2, 2, 5], [2, 2, 5], [5]]
[[5], [4, 4], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [5]]
[[5], [2, 5], [2, 2, 2, 2], [], [5], [5], [4, 4], [5], [5], [5]]
[[5], [5], [2], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [4]]
[[4], [5], [2, 2, 2], [5], [2, 2], [5], [5], [], [5], [5], [5], [4]]
[[5], [5], [2, 2], [4], [5], [], [5], [2, 2, 2], [5], [], [4], [5], [5]]
[[5], [5], [2, 2], [5], [5], [4], [], [2, 2], [], [5], [4], [5], [2], [5]]
-EndAllocation

Instance: [[1], [60], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,15. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 5, 5], [2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 4], [5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5]]
[[5], [2, 2, 5, 5, 5], [5, 5, 5, 5], [2, 2, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [2, 4, 4, 4], [2, 2, 2, 5, 5]]
[[5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [4, 4, 4], [5, 5]]
[[5], [4, 4, 4], [5, 5], [2, 2, 2, 2], [5, 5], [5, 5], [5]]
[[], [5, 5], [4], [2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [5, 5]]
[[5], [5], [4, 5], [5], [5], [2, 2, 2, 2], [4, 5], [4, 5], [5]]
[[5], [5], [5], [2, 5], [4, 4], [5], [2, 5], [5], [2, 2, 4], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [4], [5]]
[[4], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [2, 4]]
[[5], [4], [5], [4], [5], [5], [5], [4], [5], [2, 2, 2], [5], [2], [5]]
[[], [5], [4], [5], [5], [], [5], [5], [4], [5], [2, 4], [5], [2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [4], [2, 2], [], [4], [5], [], [4], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [59], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,15. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5]]
[[2, 2, 4], [5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 5], [2, 4, 5, 5], [5, 5, 5]]
[[5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 5], [5, 5]]
[[], [4, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [4, 5], [5, 5], [5, 5]]
[[5], [2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5], [5], [5]]
[[5], [5], [5], [2, 5], [2, 5], [5], [2, 5], [5], [2, 2, 4], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 4], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [2, 2]]
[[5], [5], [5], [5], [], [5], [5], [4], [5], [2, 2, 2], [5], [2, 2], [5]]
[[], [5], [4], [5], [5], [], [5], [5], [5], [5], [2, 2], [5], [2, 2, 2], [5]]
[[5], [5], [5], [5], [2], [4], [2, 2], [], [5], [5], [], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [58], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,15. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [29, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 5, 5], [2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2], [2, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 5], [2, 3, 5, 5], [5, 5, 5]]
[[5], [5, 5], [2, 2, 2, 2, 2], [3, 5, 5], [5, 5], [5, 5]]
[[], [3, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [3], [2, 2, 2, 2, 2], [5], [5, 5], [5, 5], [5, 5]]
[[5], [2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [3, 5], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [2, 5], [5]]
[[5], [5], [5], [5], [5], [3, 5], [2, 2, 2, 2], [2, 5], [5], [], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [3], [5], [5], [5], [2, 2]]
[[5], [5], [5], [3], [], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2], [5]]
[[5], [5], [], [5], [5], [], [5], [5], [5], [5], [2, 2], [3], [2, 2, 2], [5]]
[[5], [5], [5], [5], [2], [5], [2, 2], [], [5], [5], [], [5], [2, 2], [5], [3]]
-EndAllocation

Instance: [[1], [57], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,15. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [29, 19, 15, 12, 10, 9, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 5, 5], [1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 5]]
[[4, 4], [5, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5, 5]]
[[], [1, 1, 1, 1, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 5], [1, 1, 1, 1, 5, 5]]
[[5], [5, 5], [1, 1, 1, 1, 5], [5, 5], [4, 4, 5], [5, 5]]
[[], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [1, 1, 1, 1, 5]]
[[], [5, 5], [1, 1, 5], [], [5, 5], [1, 1, 4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [1, 1, 1, 1, 5], [5], [5], [4, 5], [4, 5], [5]]
[[5], [5], [1, 5], [5], [5], [5], [5], [1, 1, 1, 5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [1, 1, 1, 1]]
[[5], [1, 1, 1, 1], [5], [4], [5], [5], [5], [4], [5], [5], [5], [5]]
[[5], [5], [5], [4], [1, 1, 1, 1], [5], [5], [4], [], [5], [5], [5], [5]]
[[], [1, 1, 1, 1], [4], [5], [5], [], [5], [5], [4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [], [4], [5], [], [4], [5], [], [5], [1, 1, 1, 1], [5], [5]]
-EndAllocation

Instance: [[1], [64], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,16. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9, 8, 8, 6, 6, 6, 5], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,16:
-StartAllocation
[[2, 2, 2, 2, 5, 5, 5], [2, 4, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5, 5, 5]]
[[4], [5, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5]]
[[5], [4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 5]]
[[5, 5], [2, 2, 2, 2, 2], [4, 5, 5], [5, 5], [5, 5], [5, 5]]
[[5], [5, 5], [2, 2, 2, 2, 2], [4, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4]]
[[], [4, 5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5]]
[[5], [2, 2, 5], [5], [5], [5], [4, 5], [5], [2, 5], [5], [2, 2, 5]]
[[5], [2, 5], [5], [5], [5], [5], [2, 2, 4], [2, 5], [5], [2, 5], [5]]
[[5], [4], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [], [5], [2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2], [2, 4], [5], [5], [], [5], [2]]
[[5], [5], [], [2, 2], [4], [5], [2], [5], [], [5], [5], [5], [2, 2], [5], [5], [5]]
-EndAllocation

Instance: [[1], [63], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,16. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5], Opt: [32, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 4, 5, 5]]
[[5], [2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [2, 2, 2, 2, 2, 5]]
[[5, 5], [4, 4, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [2, 2, 4, 4], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [5], [5, 5]]
[[5], [2, 5], [4, 5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5]]
[[5], [5], [4, 4], [2, 2, 5], [5], [5], [5], [2, 5], [2, 2, 5], [5]]
[[5], [5], [2, 5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [2, 2], [5], [5], [2, 5], [2, 5], [5], [4, 4], [5], [5], [], [2, 5]]
[[5], [2], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2, 4], [5]]
[[5], [5], [2], [5], [2, 4], [], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5]]
[[4], [2, 2, 2], [5], [5], [2, 2], [5], [5], [], [5], [], [5], [5], [4], [5], [5]]
[[5], [2, 2], [], [5], [5], [5], [4], [5], [5], [5], [4], [], [2], [5], [2, 2], [5]]
-EndAllocation

Instance: [[1], [62], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,16. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 1, 3, 3, 4, 4, 5], [1, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [1, 1, 1, 3, 3, 5, 5, 5], [4, 4, 5, 5, 5, 5]]
[[], [3, 4, 4, 5, 5], [5, 5, 5, 5], [1, 1, 1, 3, 5, 5, 5]]
[[], [1, 3, 3, 5, 5], [1, 1, 5, 5, 5], [4, 4, 5], [5, 5, 5]]
[[5], [4, 4, 5], [5, 5], [1, 1, 1, 3, 3, 5], [5, 5], [5, 5]]
[[], [1, 4, 4], [1, 1, 5, 5], [5, 5], [5, 5], [3, 3, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 4], [1, 1, 1, 5], [3, 3], [5, 5]]
[[5], [4, 5], [3, 5], [5], [1, 1, 1, 5], [3, 5], [5], [4, 5], [5]]
[[5], [5], [4, 4], [5], [3, 5], [1, 1, 1, 5], [3, 5], [5], [5], [5]]
[[5], [3, 3], [5], [4, 4], [5], [5], [5], [5], [5], [1, 1, 1, 5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3], [], [1, 1, 1, 5]]
[[5], [5], [4], [3, 3], [5], [5], [1, 1, 1], [5], [5], [5], [5], [4], [5]]
[[5], [5], [5], [1, 1], [4], [], [5], [5], [5], [3, 3], [5], [1, 5], [4], [5]]
[[4], [5], [5], [5], [4], [5], [5], [], [], [3, 3], [5], [5], [5], [1, 1, 1], [5]]
[[5], [], [5], [5], [5], [5], [1, 4], [1, 1], [5], [5], [4], [3], [], [5], [5], [3]]
-EndAllocation

Instance: [[1], [61], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,16. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 1, 1, 4, 4, 4, 5], [1, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [1, 1, 1, 1, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5]]
[[5], [4, 4, 4, 5], [5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5]]
[[], [1, 1, 5, 5, 5], [1, 1, 5, 5, 5], [4, 4, 4], [5, 5, 5]]
[[5], [4, 4, 4], [5, 5], [1, 1, 1, 1, 5, 5], [5, 5], [5, 5]]
[[], [4, 4, 4], [1, 1, 5, 5], [1, 1, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5], [4, 5], [4, 4], [1, 1, 1, 1, 5], [5, 5], [5, 5]]
[[5], [4, 5], [4, 5], [5], [1, 1, 1, 1, 5], [5], [5], [4, 5], [5]]
[[5], [5], [4, 4], [5], [5], [1, 1, 1, 1, 5], [4, 5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [1, 1, 1, 1, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [5], [5], [1, 1, 1, 1]]
[[4], [5], [4], [5], [5], [5], [1, 1, 1, 1], [5], [5], [5], [5], [4], [5]]
[[5], [5], [5], [1, 1, 1], [4], [], [5], [5], [4], [5], [5], [1, 5], [4], [5]]
[[4], [5], [5], [5], [4], [5], [5], [], [5], [], [5], [5], [4], [1, 1, 1, 1], [5]]
[[5], [], [5], [5], [5], [5], [1, 4], [1, 1, 1], [5], [5], [4], [], [], [5], [5], [4]]
-EndAllocation

Instance: [[1], [68], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,17. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 5, 5, 5], [2, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5], [2, 2, 2, 2, 4, 4, 5], [2, 5, 5, 5, 5]]
[[5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 4, 4], [5, 5, 5]]
[[], [5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 5]]
[[5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], []]
[[5], [4, 5], [2, 5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 5], [4, 4], [5], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [4, 4], [5]]
[[], [5], [5], [2, 5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [4]]
[[5], [], [5], [2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [2, 4], [5], [5]]
[[5], [5], [], [5], [5], [], [5], [4], [2, 2, 2], [5], [5], [2, 4], [5], [5], [2], [5]]
[[5], [4], [5], [2, 2], [5], [5], [], [5], [], [2], [5], [4], [2, 2], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [67], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,17. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 5], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5]]
[[4, 4], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 4]]
[[5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 5, 5, 5]]
[[], [3, 3], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 4]]
[[], [3, 3, 3], [5, 5], [4, 4, 4], [4, 5], [3, 3, 3, 3], [5], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [3], [5, 5], [4, 4], [3, 3, 3], [4, 4]]
[[], [4, 4], [3, 5], [3, 3, 3], [4, 5], [3, 5], [], [3, 5], [3, 5], [4, 5]]
[[5], [5], [4, 4], [3, 5], [5], [], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4]]
[[5], [3, 5], [3, 5], [], [], [3, 3], [5], [3, 3], [4, 4], [3, 5], [4, 4], [5]]
[[], [3, 5], [], [4, 4], [3, 5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [3, 5], []]
[[4], [5], [5], [3, 3], [4], [4], [5], [5], [4], [3, 3], [5], [3], [5], [3, 3]]
[[4], [4], [5], [3, 3], [5], [3, 3], [], [4], [5], [5], [5], [3, 3], [4], [3], [5]]
[[5], [4], [3], [], [5], [], [5], [4], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5]]
[[3], [4], [3], [3], [3], [5], [5], [4], [4], [5], [5], [4], [3], [5], [3], [3], [5]]
-EndAllocation

Instance: [[1], [66], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,17. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9, 8, 8, 8, 6, 6, 6, 5], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 5], [2, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 4], [5, 5, 5]]
[[5, 5], [5, 5], [4, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[5, 5], [4, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [4, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5]]
[[], [2, 5], [5, 5], [5], [5, 5], [5, 5], [4, 5], [2, 2, 2, 2, 2], [5]]
[[5], [4, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5]]
[[5], [2, 2, 4], [5], [5], [2, 5], [5], [2, 5], [2, 5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 4], [5], [5]]
[[5], [5], [5], [2, 2], [5], [5], [4], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5]]
[[5], [], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5]]
[[5], [], [], [5], [5], [], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5]]
[[5], [4], [5], [2, 2], [5], [5], [], [5], [], [2, 2], [5], [5], [2, 2], [5], [5], [], [5]]
-EndAllocation

Instance: [[1], [65], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,17. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5]]
[[5, 5], [3, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 5, 5], [3, 5, 5, 5], [5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5], [5, 5, 5], [3, 5, 5]]
[[5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 5, 5], [5, 5], [5, 5]]
[[], [3, 5, 5], [2, 2, 2, 2, 2], [2, 5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 5], [5, 5]]
[[], [2], [3, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [3, 5]]
[[5], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [2, 5], [5], [3, 5], [5]]
[[5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [3, 5]]
[[5], [5], [2, 2, 2], [3], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [], [5], [5], [5], [3], [5], [2, 2, 2], [2, 2, 2], [5], [5]]
[[5], [5], [5], [3], [5], [5], [5], [2, 2, 2], [5], [5], [], [], [5], [5], [2, 2, 2]]
[[], [2, 2, 2], [5], [5], [5], [3], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [5], []]
[[5], [], [5], [5], [3], [2, 2], [5], [5], [5], [2, 2], [5], [5], [], [5], [5], [], [2, 2]]
-EndAllocation

Instance: [[1], [72], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,18. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5]]
[[3, 3, 5], [3, 3, 3, 3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[5], [4, 5, 5, 5, 5], [4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5], [3, 3, 3, 3, 3]]
[[5], [5, 5], [4, 4, 4], [3, 3, 3, 4], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3], [4, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [4, 4], [3, 5], [3, 3, 3], [5, 5], [4, 4], [5, 5], [3, 3, 3], [5, 5]]
[[], [5, 5], [3, 5], [4, 4], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3]]
[[5], [5], [5], [4, 4], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [3, 5]]
[[5], [3, 3], [5], [5], [4, 4], [5], [5], [4, 4], [3, 3], [5], [3, 3], [3, 5]]
[[5], [3, 3], [4, 4], [3, 5], [5], [5], [], [3, 3], [5], [5], [4, 4], [5], [3, 3]]
[[5], [], [4, 4], [5], [4, 4], [5], [3, 3], [5], [3, 3], [3, 3], [], [5], [5], [3, 5]]
[[5], [4], [3], [5], [4], [5], [5], [4], [5], [3, 3], [5], [4], [3, 3], [3, 3], [5]]
[[5], [4], [5], [5], [], [5], [4], [3, 3], [4], [3], [5], [3, 3], [5], [4], [5], [3, 3]]
[[5], [3, 3], [3], [4], [4], [5], [], [4], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], []]
[[3], [3], [5], [5], [4], [3], [3], [5], [4], [3], [5], [4], [5], [4], [5], [3], [5], [3]]
-EndAllocation

Instance: [[1], [71], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,18. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 5], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[5], [4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5], [5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 5], [5, 5], [4], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5, 5], [5], [4, 5], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [2, 5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5]]
[[5], [2, 5], [2, 5], [5], [5], [2, 5], [5], [4], [2, 5], [5], [2, 5], [2, 5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 4], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 4], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [], [2, 2], [5], [5], [5], [2, 4], [5], [2, 2, 2], [5]]
[[5], [], [5], [5], [], [5], [2, 2, 2], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [4], [5], [2, 2, 2], [5], [5], []]
[[5], [2, 2], [], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2], [4], [], [], [5], [5]]
-EndAllocation

Instance: [[1], [70], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,18. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 4], [5, 5, 5], [5, 5, 5], [4, 5, 5]]
[[], [5, 5, 5], [4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5], [4, 4, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 5], [2, 2, 4, 4], [5, 5], [2, 5, 5], [5, 5], [5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [2, 4, 4]]
[[5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 5], [2, 2, 5], [5], [5], [4, 5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [4, 4], [2, 5]]
[[5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4]]
[[5], [5], [5], [5], [5], [5], [5], [2, 4], [5], [2, 2], [], [4], [5], [2, 2, 2], [5]]
[[5], [4], [5], [5], [5], [], [5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [], [5], [5], [5]]
[[4], [5], [], [5], [5], [5], [], [5], [5], [], [2, 2, 2], [5], [5], [5], [4], [5], [2, 2, 2]]
[[5], [5], [2, 2], [], [], [4], [5], [5], [5], [2, 2], [5], [2, 2], [4], [5], [5], [5], [], [5]]
-EndAllocation

Instance: [[1], [69], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,18. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5]]
[[5, 5], [4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 4, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[5], [3, 3, 3, 3, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 5]]
[[], [3, 3, 3, 3], [5, 5], [4, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5]]
[[], [5], [3, 3, 3, 3], [3, 3, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5], [3, 3], [3, 3, 3], [3, 3, 4]]
[[5], [3, 5], [3, 5], [3, 3, 3], [3, 5], [5], [5], [3, 3, 3], [3, 4], [5]]
[[], [3, 5], [5], [3, 3, 3], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [3, 4]]
[[5], [5], [3, 5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 5], [4], [5]]
[[5], [5], [3, 4], [5], [5], [3, 3], [3, 3], [3, 5], [5], [], [5], [3, 3], [3, 3]]
[[], [4], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [5]]
[[], [5], [3, 3], [3, 3], [], [5], [3, 3], [4], [5], [5], [3, 3], [5], [3, 3], [5], [5]]
[[], [4], [3, 3], [5], [3, 3], [], [5], [3, 3], [5], [], [5], [5], [3, 3], [5], [5], [3, 3]]
[[3, 3], [5], [], [3, 3], [3, 3], [5], [], [5], [5], [], [3, 3], [5], [5], [5], [4], [], [3, 3]]
[[5], [5], [3], [3], [3], [3], [3], [5], [5], [5], [5], [3], [4], [3], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [76], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,19. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 5], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[5, 5], [3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[5], [3, 3, 3, 3, 3, 3, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5]]
[[], [3, 3, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5]]
[[], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 5], [3, 5, 5], [3, 3, 3, 3, 3]]
[[], [4, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5], [4, 4, 4], [3, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5], [3, 4], [4, 4, 4], [5, 5]]
[[], [], [4, 5], [3, 3, 3, 3], [5, 5], [3, 3, 5], [4, 4, 4], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4], [5, 5], [4, 4], [4, 4]]
[[5], [5], [3, 3, 3], [3, 3], [4, 4], [5], [4, 5], [5], [3, 5], [4, 4], [4, 4]]
[[5], [5], [4, 4], [4, 4], [3, 5], [5], [], [4, 5], [3, 3, 3], [4, 4], [3, 3], [5]]
[[], [3, 3], [5], [3, 3], [3, 5], [5], [4, 4], [3, 4], [5], [4, 4], [4, 4], [5], [5]]
[[5], [], [4], [4, 4], [3, 5], [4, 4], [4, 4], [5], [5], [3, 3], [3, 5], [3, 3], [], [5]]
[[], [5], [5], [4, 4], [4, 4], [3, 3], [4], [4, 4], [], [], [5], [5], [3, 5], [3, 5], [3, 3]]
[[4], [5], [4], [3, 3], [5], [5], [5], [3, 3], [4], [5], [4], [4], [5], [4], [4], [3, 3]]
[[5], [], [4], [5], [5], [3, 3], [5], [4], [4], [4], [4], [5], [4], [5], [4], [3, 3], [3, 3]]
[[], [5], [4], [4], [5], [4], [4], [4], [5], [5], [3, 3], [3, 3], [4], [5], [3, 3], [], [5], [4]]
[[5], [5], [3], [5], [4], [4], [3], [5], [3], [3], [3], [4], [5], [4], [4], [5], [4], [4], [3]]
-EndAllocation

Instance: [[1], [75], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,19. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5], [4, 4, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5]]
[[], [4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5], [5, 5], [2, 4, 4], [5, 5], [5, 5], []]
[[5], [4, 5], [4, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 5], [4, 5], [5], [2, 2, 5]]
[[5], [5], [2, 5], [5], [5], [5], [4, 4], [2, 5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[], [5], [2, 5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [5], [5], [5], [4, 4], [5], [5]]
[[5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [4], [5]]
[[5], [4], [2, 2, 2], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], []]
[[5], [], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [4], [2, 2, 2], [5], [], [5]]
[[5], [4], [5], [5], [2, 2, 2], [5], [4], [2, 2, 2], [5], [5], [5], [], [5], [5], [], [], [5], [5]]
[[5], [5], [2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [2, 2], [], [5], [], [4], [5], [5], [], [5]]
-EndAllocation

Instance: [[1], [74], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,19. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 5, 5], [1, 1, 1, 1, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5], [1, 1, 1, 1, 3, 5, 5]]
[[4, 4], [5, 5, 5, 5, 5], [1, 1, 1, 1, 3, 4, 5], [5, 5, 5, 5, 5]]
[[5], [3, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [1, 1, 1, 1, 5]]
[[], [1, 1, 5, 5, 5], [1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4]]
[[5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [1, 1, 1, 1, 5]]
[[], [3, 5, 5], [5, 5], [4, 5], [1, 1, 1, 1, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [5], [5], [5, 5], [4, 4, 4], [3, 5], [5, 5], [1, 1, 5, 5], [1, 1, 5, 5]]
[[], [3, 5], [1, 1, 1, 1, 5], [4, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], []]
[[5], [4, 5], [4, 5], [5], [5], [5], [3, 5], [5], [1, 1, 1, 1, 5], [4, 5], [5]]
[[5], [5], [4, 5], [5], [1, 1, 1, 1, 3], [5], [5], [5], [4, 5], [4, 5], [5], [5]]
[[5], [1, 1, 1, 1, 4], [3, 5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5]]
[[], [3, 5], [5], [5], [1, 1, 1, 1, 4], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5]]
[[4], [3], [5], [5], [5], [5], [5], [5], [1, 5], [4], [5], [1, 1, 4], [5], [5], [1, 5]]
[[5], [4], [5], [5], [3], [4], [5], [1, 1, 1, 1], [4], [5], [5], [5], [5], [5], [5], [5]]
[[4], [3], [5], [4], [5], [5], [5], [5], [1, 1, 1, 1], [5], [5], [5], [4], [5], [5], [], [5]]
[[5], [4], [5], [5], [3], [5], [1, 1, 1, 1], [4], [5], [4], [5], [5], [5], [5], [], [], [5], [5]]
[[5], [1, 1, 1, 1], [5], [5], [5], [4], [5], [], [5], [5], [5], [4], [5], [], [4], [5], [5], [3], []]
-EndAllocation

Instance: [[1], [73], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,19. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 4], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 5], [5, 5], [2, 5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 5], [5, 5], [2, 5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2], [5], [5, 5], [2, 2, 2, 4], [5, 5], [5, 5], []]
[[5], [5], [4, 5], [2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5]]
[[5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 5], [5], [5], [2, 2, 5]]
[[5], [5], [2, 5], [2, 5], [5], [5], [4], [2, 5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [2, 5], [2, 2, 2, 2], [5], [2, 2], [5], [5], [5], [5], [5], [4], [5], [5]]
[[5], [2, 2, 2], [5], [2], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [2], [5], [5], []]
[[5], [2], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [4], [2, 2, 2], [5], [], [5]]
[[5], [2], [5], [5], [2, 2, 2], [5], [4], [2, 2, 2], [5], [5], [5], [], [5], [5], [], [], [5], [5]]
[[5], [5], [2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [2, 2], [], [5], [], [5], [5], [5], [2], []]
-EndAllocation

Instance: [[1], [80], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,20. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 2, 2, 2, 2, 4, 4, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5]]
[[5], [4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 5, 5]]
[[5], [4, 4, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 5]]
[[], [5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 5]]
[[5], [5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5], [5, 5], [2, 2, 2, 2, 2], [5], [4, 4]]
[[], [5, 5], [2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 4], [], [5, 5], [5, 5]]
[[5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [4, 5], [5], [5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [4, 5], [2, 2, 5], [5], [5], [5], [4, 5], [5], [5]]
[[5], [2, 2, 2, 2], [4, 4], [5], [2, 5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5]]
[[5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], [5], [5], [], [5], [2, 5], [2, 5], [5]]
[[5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [4], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [], [5], [5], [5], [2, 4]]
[[5], [5], [4], [4], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [2, 2, 2], [5]]
[[5], [], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [], [4], [5], [4]]
[[5], [], [], [], [5], [2, 2], [5], [5], [5], [5], [2, 2], [5], [5], [5], [4], [5], [5], [5], [4], [2, 2]]
-EndAllocation

Instance: [[1], [79], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,20. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 5], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,20:
-StartAllocation
[[3, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[5], [4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 4, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [4, 5, 5], [4, 4, 4, 4], [5], [3, 3, 3, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [3, 3, 5], [3, 5, 5], [3, 5, 5], [4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4], [5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 5], [5, 5], [3, 3], [3, 3, 3], [4, 4]]
[[], [5, 5], [3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [], [4, 4], [4, 5]]
[[5], [3, 3], [5], [5], [3, 3, 3], [5], [4, 5], [4, 4], [4, 4], [3, 3, 3], [5], [5]]
[[5], [4, 5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [3, 3, 3], [5], [4, 4], [], [3, 3]]
[[5], [3, 3], [4, 4], [3, 3], [5], [4], [3, 3], [4, 4], [5], [5], [3, 3], [5], [5], [5]]
[[], [3, 3], [5], [5], [4, 4], [4], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [4, 4], [5]]
[[5], [5], [4], [5], [3, 3], [4], [4], [4], [4], [5], [5], [3, 3], [3, 3], [5], [3, 3], [5]]
[[5], [4], [3, 3], [5], [4], [5], [5], [], [4], [3, 3], [3, 3], [5], [3, 3], [4], [5], [5], [4]]
[[5], [5], [4], [4], [5], [], [3, 3], [3, 3], [4], [], [5], [4], [3, 3], [3, 3], [5], [5], [4], [5]]
[[5], [], [5], [], [5], [5], [3, 3], [5], [5], [], [5], [4], [4], [3, 3], [3, 3], [3, 3], [4], [4], [4]]
[[3], [3], [3], [3], [4], [5], [4], [4], [5], [5], [5], [3], [5], [5], [4], [3], [5], [3], [4], [3]]
-EndAllocation

Instance: [[1], [78], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,20. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 4, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5]]
[[5], [4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [4, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5]]
[[5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5], [5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 5, 5]]
[[5], [5, 5], [5, 5], [2, 5, 5], [4, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [2, 5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 5], [5, 5], [2, 2, 2, 2, 2], [5], [4]]
[[], [5, 5], [2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 5], [], [5], [5, 5]]
[[5], [2, 2, 5], [2, 5], [2, 2, 5], [5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 5]]
[[5], [2, 5], [2, 5], [2, 5], [5], [5], [5], [2, 5], [2, 5], [2, 5], [4], [5], [2, 5]]
[[5], [2, 2, 2, 2], [4], [5], [2, 5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 5]]
[[5], [5], [5], [2, 2, 2, 2], [4], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 2], [5]]
[[5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2], [5]]
[[5], [5], [], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [], [5], [5], [5], [2, 4]]
[[5], [5], [4], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [5], [2], [2, 2, 2], [5]]
[[5], [], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [], [2], [5], [4]]
[[5], [], [2], [], [5], [2, 2], [5], [], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [4], [2, 2]]
-EndAllocation

Instance: [[1], [77], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,20. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 4, 4, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5]]
[[5], [5, 5, 5], [4, 4, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 5]]
[[], [5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5]]
[[], [5], [2, 2, 2, 2, 2, 2], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 5], [4, 4], [5, 5], [5, 5], [5, 5], []]
[[5], [5], [2, 5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [4, 5]]
[[5], [2, 5], [4, 5], [2, 2, 2, 2], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [5]]
[[5], [2, 5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [2, 5], [5], [5], [2, 5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4, 4], [5], [], [5], [5], [2, 2, 2, 2], [5]]
[[4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2], [5], [5], [5], [4], [2, 2, 2]]
[[5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [5], [2, 2, 2], [2, 4], [], [], [5], [5]]
[[], [5], [5], [5], [5], [5], [5], [5], [4], [5], [], [2], [2, 2, 2], [5], [4], [5], [5], [2, 2, 2]]
[[5], [5], [4], [5], [2, 2, 2], [5], [], [5], [], [5], [5], [5], [5], [5], [5], [2], [4], [2, 2, 2], []]
[[5], [2], [2, 2], [4], [5], [5], [5], [5], [2, 2], [2, 2], [5], [5], [5], [5], [5], [5], [], [], [4], []]
-EndAllocation

Instance: [[1], [84], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,21. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5]]
[[2], [4, 4, 4, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5]]
[[5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5]]
[[5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4]]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 5], [5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2], [5, 5]]
[[5], [5], [5], [4, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [5], [4, 5]]
[[5], [4, 5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 2, 2], [4, 5], [5], [5]]
[[5], [5], [2, 5], [2, 5], [5], [5], [2, 4], [2, 5], [2, 5], [5], [2, 5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 4], [5], [4, 4]]
[[5], [2, 2, 2, 2], [5], [5], [2, 2], [5], [4], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [4], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5]]
[[5], [5], [2, 2, 2], [], [5], [5], [4], [5], [2, 2, 2], [4], [5], [4], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [4], [], [5], [5], [5], [], [4], [5], [2, 2, 2], [2, 2, 2], [4], [5], [5], [5], [5], [5]]
[[4], [5], [4], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [4], [2, 2, 2], [5], [], [5], [5]]
[[4], [], [4], [5], [5], [4], [5], [], [2, 2], [], [5], [5], [5], [5], [5], [5], [2, 2], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [83], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,21. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [3, 4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5]]
[[], [4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 3, 5, 5, 5], [2, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5], [3, 5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5]]
[[5], [5, 5, 5], [3, 4, 4, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5]]
[[], [3, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 5]]
[[5, 5], [4, 4, 5], [5, 5], [2, 5], [5, 5], [2, 2, 2, 2, 2, 3], [5, 5], [5, 5]]
[[], [4, 4, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 5], [5], [3, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2], [5, 5]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [2, 2, 5], [4, 5], [5], [5], [4, 5]]
[[5], [4, 5], [5], [5], [5], [2, 2, 5], [5], [5], [3, 5], [2, 2, 2, 2], [4, 5], [5], [5]]
[[5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [3, 5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5], [2, 2], [5], [4, 4]]
[[5], [2, 2, 2, 2], [3, 5], [5], [2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [], [5], [5], [5]]
[[5], [4], [5], [2, 3], [5], [5], [5], [5], [5], [2, 2], [2, 2, 2], [5], [5], [4], [5], [5], [5]]
[[5], [5], [2, 2, 2], [], [5], [5], [4], [5], [2, 2, 2], [5], [5], [4], [5], [3], [5], [5], [5], [5]]
[[5], [5], [5], [4], [], [5], [3], [5], [], [4], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[4], [5], [3], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [4], [2, 2, 2], [5], [], [5], [5]]
[[4], [], [], [5], [5], [4], [5], [], [2, 2], [5], [5], [5], [5], [3], [5], [5], [2, 2], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [82], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,21. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[], [4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5], [2, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5], [4, 4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5]]
[[5], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 5]]
[[5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2], [5, 5]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5], [2, 5], [5], [4, 5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 5], [5], [4, 5], [2, 2, 2, 2], [4, 5], [5], [5]]
[[5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [2, 5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2], [5], [4, 4]]
[[5], [2, 2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [4], [4], [5], [5], [5], [2], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [], [5], [5], [4], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [2]]
[[5], [5], [5], [4], [], [5], [5], [5], [], [4], [5], [2, 2, 2], [2, 2, 2], [5], [2], [5], [5], [5], [5]]
[[4], [5], [2], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [4], [2, 2, 2], [5], [], [5], [5]]
[[4], [], [], [5], [5], [4], [5], [], [2, 2], [5], [5], [5], [5], [5], [2], [5], [2, 2], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [81], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,21. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [3, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[], [3, 4, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 4, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5]]
[[5], [5, 5, 5], [3, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[5], [3, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5], [4, 5, 5]]
[[], [4, 5, 5], [5, 5], [2, 2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 3], [5, 5], [5, 5]]
[[], [4, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 5]]
[[], [2, 2, 2, 2, 2, 2], [4], [3], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [3, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2], [5, 5]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [2, 2, 5], [4, 5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 5], [5], [3, 5], [2, 2, 2, 2], [4, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [3, 5], [5], [2, 2, 4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5], [2, 2, 2], [5], [4]]
[[5], [2, 2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [3, 4], [5], [5], [5], [5], [], [5], [5], [5]]
[[5], [5], [5], [2, 3], [], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [4], [5], [5], [5]]
[[5], [5], [2, 2, 2], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [3], [5], [5], [5], [2]]
[[5], [5], [5], [], [], [5], [3], [5], [5], [4], [5], [2, 2, 2], [2, 2, 2], [5], [2], [5], [5], [5], [5]]
[[4], [5], [2, 3], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [2, 2, 2], [], [], [5], [5]]
[[4], [], [], [5], [5], [5], [5], [], [2, 2], [5], [5], [5], [5], [3], [2], [5], [2, 2], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [88], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,22. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,22:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5]]
[[], [3, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3], [3, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [4, 5, 5], [4, 5, 5]]
[[], [5, 5], [4, 4, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5], [5, 5]]
[[], [4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 5], [5]]
[[], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3], [3, 3, 3]]
[[], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], []]
[[5], [5], [3, 5], [3, 5], [5], [5], [5], [3, 3, 3], [3, 5], [5], [4, 4], [3, 3, 3], [3, 5]]
[[5], [5], [5], [5], [3, 3, 3], [5], [5], [3, 5], [5], [3, 3, 3], [5], [4, 4], [3, 3], [3, 5]]
[[5], [3, 3], [5], [3, 3], [5], [4, 4], [5], [3, 5], [3, 5], [5], [3, 3], [5], [3, 3], [5], [5]]
[[5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3, 3], [4, 4]]
[[5], [3, 3], [4, 4], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], []]
[[5], [5], [5], [3, 3], [5], [5], [4], [3, 3], [5], [], [5], [3, 3], [5], [3, 3], [5], [5], [4], [3, 3]]
[[5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [4], [], [4], [3, 3], [5], [5], [5], [5], [5], [], [3, 3], [5]]
[[5], [3, 3], [], [3, 3], [5], [4], [3, 3], [], [5], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], []]
[[4], [], [5], [5], [], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [5], [], [], [5], [4]]
[[3], [5], [5], [3], [5], [5], [3], [3], [5], [3], [5], [5], [3], [3], [3], [5], [3], [3], [4], [4], [5], [5]]
-EndAllocation

Instance: [[1], [87], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,22. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 4, 4, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 4, 5, 5, 5], [4, 5, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5], [4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 5, 5], [4, 5, 5], [4, 5, 5]]
[[], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 5, 5]]
[[], [4, 4], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2, 5]]
[[], [4, 4], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [2, 2, 5], [5, 5], [5, 5], [5, 5], [5, 5], []]
[[5], [4, 5], [2, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [5]]
[[5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [2, 5], [5], [5], [4, 4], [5], [2, 2, 5]]
[[5], [2, 5], [5], [5], [5], [4, 4], [5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [2, 5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4, 4]]
[[5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], []]
[[5], [], [5], [5], [5], [5], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2]]
[[5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [5], [2], [4], [5], [], [5], [5], [5]]
[[5], [], [5], [5], [], [5], [2], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [2, 2, 2], [5], [4]]
[[5], [5], [], [], [2], [5], [5], [], [5], [5], [5], [2, 2], [5], [5], [2, 2], [5], [5], [2, 2], [4], [4], [5], [5]]
-EndAllocation

Instance: [[1], [86], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,22. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,22:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[4], [3, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [4, 4, 4], [4, 5, 5]]
[[], [5, 5], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4], [5, 5]]
[[], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5], [5, 5], [5, 5], [3, 3, 5], []]
[[], [5, 5], [4, 4], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3], [3, 3, 3]]
[[], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], []]
[[5], [4, 4], [3, 5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [3, 3, 3]]
[[5], [5], [5], [5], [3, 3, 3], [5], [5], [3, 5], [], [3, 3, 3], [4, 4], [4, 4], [3, 3], [3, 5]]
[[5], [3, 3], [5], [3, 3], [4, 4], [4, 4], [5], [3, 5], [3, 5], [5], [3, 3], [], [3, 3], [5], [5]]
[[5], [4, 4], [5], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [3, 3], [3, 3], [4, 4]]
[[5], [3, 3], [4, 4], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [], [5], [5], [4, 4], [5], []]
[[4], [5], [5], [3, 3], [5], [5], [4], [3, 3], [4], [], [5], [3, 3], [5], [3, 3], [5], [5], [4], [3, 3]]
[[5], [3, 3], [3, 3], [5], [3, 3], [4], [5], [4], [4], [4], [3, 3], [5], [], [5], [5], [5], [], [3, 3], [5]]
[[], [3, 3], [], [3, 3], [5], [4], [3, 3], [], [3, 3], [5], [5], [5], [5], [3, 3], [4], [5], [4], [5], [5], [4]]
[[4], [4], [5], [5], [], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [], [3, 3], [3, 3], [5], [4], [], [], [5], [4]]
[[3], [5], [4], [3], [5], [5], [3], [3], [4], [3], [5], [5], [3], [3], [3], [5], [3], [3], [4], [4], [5], [5]]
-EndAllocation

Instance: [[1], [85], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,22. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4], [5, 5, 5, 5], [5], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 5, 5], [5, 5, 5], [5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2], [2, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 4, 5], [5, 5], [2, 5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 5], [5, 5], [4, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2], [4, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [4, 5], [2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [], [5, 5]]
[[5], [5], [2, 2, 5], [2, 2, 5], [4, 5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5]]
[[5], [4, 5], [5], [2, 2, 5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 5], [5], [5], [5], [5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [4], [5], [5], [2, 5], [2, 5], [2, 5], [5], [5], [5], [5], [2, 5]]
[[5], [5], [2, 2, 4], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2], [4], [2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [2, 4], [], [5], [5], [5], [2], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5]]
[[5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2], [5], [], [5], [5], [5], [2, 2, 2], [5], []]
[[], [5], [5], [5], [5], [2, 2], [5], [5], [2, 2, 2], [2, 2, 2], [5], [], [5], [5], [], [5], [5], [5], [4], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [], [], [5], [2, 2], [2, 2, 2], [5], [5], [], [5], [5], [], [5]]
[[5], [5], [5], [2, 2], [5], [5], [], [5], [5], [5], [5], [], [5], [5], [2, 2], [2, 2], [5], [], [2, 2], [], [5], [4]]
-EndAllocation

Instance: [[1], [92], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,23. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,23:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 5]]
[[], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 5], [5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5]]
[[5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5], [5, 5], [], [2, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [2, 2, 2, 2, 2, 2], [2, 5, 5], [5, 5]]
[[], [], [2, 2], [5, 5], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [2, 4, 4], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 5], [5, 5], [], [5, 5], [5, 5]]
[[5], [5], [5], [5], [2, 2, 5], [4, 5], [4, 5], [2, 2, 5], [5], [5], [2, 5], [5], [2, 2, 5], [5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [2, 5]]
[[5], [2, 5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [2, 5]]
[[5], [2, 2], [2, 2, 2, 2], [2, 5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4, 4], [5], [5]]
[[4], [5], [5], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [5]]
[[5], [], [5], [4], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [2], [4], [5], [5], [5], [5], [5], [5]]
[[], [5], [2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [4], [5], [5], [5], [4], [2, 2, 2]]
[[4], [], [5], [5], [5], [2, 2, 2], [2, 2, 2], [], [5], [5], [5], [5], [5], [2], [], [5], [5], [4], [5], [5], [5], [5]]
[[], [5], [2, 2], [5], [5], [2, 2], [], [5], [5], [2], [5], [4], [], [5], [5], [5], [5], [5], [5], [2, 2], [5], [5], [4]]
-EndAllocation

Instance: [[1], [91], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,23. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5]]
[[5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3], [], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[3, 5, 5], [5, 5], [3, 3, 3, 3], [3, 5], [], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], []]
[[], [5, 5], [], [3, 3, 3], [5, 5], [3, 3, 3], [5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3]]
[[5], [5], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [5]]
[[5], [3, 3, 3], [3, 5], [5], [3, 5], [5], [3, 3, 3], [3, 3, 3], [3, 5], [5], [5], [5], [5], [5]]
[[5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [5]]
[[5], [3, 3], [3, 3], [3, 5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [3, 5], [3, 3], [5], [], [5], [3, 3], [5], [], [5], [3, 3], [5], [3, 5], [5]]
[[5], [3, 3], [5], [], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], []]
[[], [5], [5], [3, 3], [3, 3], [], [5], [3, 3], [5], [5], [], [3, 3], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3]]
[[5], [5], [5], [5], [3, 3], [], [5], [3, 3], [], [3, 3], [5], [5], [5], [5], [5], [3, 3], [], [3, 3], [5], [], [3, 3]]
[[], [], [3, 3], [3, 3], [], [5], [5], [5], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], []]
[[5], [3], [3], [5], [5], [3], [3], [5], [5], [3], [3], [5], [5], [3], [5], [3], [5], [3], [5], [3], [5], [3], [3]]
-EndAllocation

Instance: [[1], [90], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,23. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 4, 4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5]]
[[5, 5], [5, 5], [5, 5], [2, 5, 5], [4, 5], [5], [2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5]]
[[5, 5], [5, 5], [5, 5], [5], [4, 4, 4], [5, 5], [2, 5, 5], [4, 5], [], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5], [2, 5], [4, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5]]
[[], [4, 4], [5], [5, 5], [], [4, 4], [2, 2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5], [2, 2, 5], [5], [5], [4, 5], [4, 5], [5], [2, 5], [5], [2, 2, 2, 2], [4, 5], [4, 5]]
[[5], [4, 5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [2, 5], [4, 5], [5], [5], [2, 2, 5]]
[[5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [2, 5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [5]]
[[5], [2, 4], [5], [2, 2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [4, 4], [2, 5], [5], [5], [2, 5]]
[[5], [5], [5], [5], [], [5], [4, 4], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2]]
[[4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [2, 4], [5], [5], [5], [5], [5], [5], [4]]
[[], [5], [2, 4], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [4], [4], [5], [2, 2, 2], [5], [5]]
[[], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 4], [5], [4], [5], [5], [5], [5], [2, 2], [2, 4], [5], [4], []]
[[5], [5], [], [5], [], [5], [], [5], [4], [5], [5], [5], [4], [4], [2, 4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5]]
[[5], [], [5], [5], [5], [4], [5], [4], [5], [4], [4], [5], [5], [5], [5], [2], [], [], [2, 2, 2], [5], [2, 2, 2], [5]]
[[5], [5], [], [], [5], [5], [4], [5], [4], [5], [2, 2], [5], [5], [4], [2], [5], [2, 2], [], [5], [5], [4], [2, 2], [5]]
-EndAllocation

Instance: [[1], [89], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,23. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,23:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5]]
[[5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4], [5, 5], [2, 2, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [5, 5], [5, 5], [2, 5, 5], [5, 5], [2, 5, 5], [2, 2, 2, 2, 2, 2], [4, 4, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [2, 2, 5], [5, 5], [], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5], [2, 2, 5], [5, 5], [], [4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4, 4], [5], [5, 5], [], [5, 5], [2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5]]
[[5], [2, 2, 5], [5], [4, 4], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [5], [4, 4], [2, 5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2]]
[[4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [4]]
[[], [5], [2, 2], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [5], [5]]
[[], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2], [2, 4], [5], [4], []]
[[5], [5], [], [5], [], [5], [], [5], [4], [5], [5], [5], [5], [2], [2, 4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5]]
[[5], [], [5], [5], [5], [5], [5], [4], [5], [4], [5], [5], [5], [5], [5], [2, 2], [], [], [2, 2, 2], [5], [2, 2, 2], []]
[[5], [5], [], [], [5], [5], [4], [5], [5], [5], [2, 2], [5], [5], [], [2, 2], [5], [2, 2], [], [5], [5], [4], [2, 2], [5]]
-EndAllocation

Instance: [[1], [96], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,24. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 5], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5]]
[[3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5]]
[[3], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [3, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [3, 5, 5, 5]]
[[], [5, 5, 5], [4, 5, 5], [4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3], [4, 4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3], [3, 5, 5], [4, 4, 4], [4, 5, 5], [4, 5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 5], [5], [4, 4, 4]]
[[], [4, 4], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [4, 4], [3, 3], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5]]
[[], [], [3, 3, 3], [5, 5], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3], [5, 5], [4, 4], [4, 4]]
[[5], [5], [4, 4], [5], [3, 3], [5], [3, 3, 3], [4, 5], [4, 4], [4, 5], [5], [5], [3, 3, 3], [4, 4]]
[[5], [4, 5], [4, 5], [3, 3, 3], [4, 4], [5], [5], [5], [], [5], [4, 4], [4, 4], [3, 3, 3], [5], [3, 3]]
[[5], [5], [], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [4, 4], [5], [4, 4], [3, 5], [5], [3, 3], [3, 3]]
[[5], [3, 3], [5], [4, 4], [4, 4], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [4, 4], [5], [5], [5], []]
[[5], [5], [], [], [3, 3], [5], [3, 3], [4, 4], [4, 4], [3, 3], [3, 3], [5], [4, 4], [5], [5], [5], [5], [4, 4]]
[[], [], [], [5], [5], [3, 3], [5], [3, 3], [5], [4, 4], [5], [4, 4], [3, 5], [3, 3], [4, 4], [3, 5], [4, 4], [], [5]]
[[4], [5], [3, 3], [4], [4], [4], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [4], [4], [4], [4], [5]]
[[4], [4], [4], [5], [3, 3], [4], [5], [5], [4], [4], [5], [4], [4], [5], [], [3, 3], [3, 3], [5], [5], [3, 3], [5]]
[[4], [3, 3], [5], [5], [5], [3, 3], [4], [], [5], [5], [], [4], [3, 3], [5], [5], [5], [3, 3], [4], [4], [4], [4], [4]]
[[4], [], [4], [5], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [], [3, 3], [], [3, 3], [4], [4], [5], [5], [5], [4], [4]]
[[3], [3], [5], [4], [4], [3], [5], [5], [3], [5], [3], [5], [5], [5], [3], [4], [4], [4], [4], [5], [4], [3], [4], [3]]
-EndAllocation

Instance: [[1], [95], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,24. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,24:
-StartAllocation
[[1, 1, 1, 1, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 3, 3, 3, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5]]
[[1, 3, 3, 3, 4, 4, 4, 5, 5], [1, 1, 1, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5]]
[[1, 1, 1, 1, 3, 3, 3, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5], []]
[[1, 1, 3, 3, 3, 5, 5], [1, 1, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], []]
[[3, 3, 3, 4, 5], [4, 4, 5, 5], [1, 1, 1, 5, 5, 5], [1, 5, 5, 5], [5, 5, 5], [5, 5], []]
[[1, 1, 1, 3, 3, 3, 4], [1, 4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5], []]
[[1, 3, 5, 5], [1, 1, 3, 3, 5], [4, 5, 5], [1, 4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], []]
[[3, 5, 5], [1, 1, 1, 3, 3, 4], [4, 4, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], []]
[[1, 1, 5, 5], [1, 1, 4, 4], [3, 4, 5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], []]
[[1, 1, 4, 4], [1, 4, 5], [1, 3, 5], [3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], []]
[[1, 1, 4, 4], [1, 4, 5], [1, 3, 5], [3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 1, 3, 4], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4]]
[[3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], []]
[[3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [], []]
[[1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3]]
[[1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3], []]
[[1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3], [], []]
[[1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3], [], [], []]
[[1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3], [], [], [], []]
[[1, 3], [3], [3], [1, 4], [1, 4], [1, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [], []]
-EndAllocation

Instance: [[1], [94], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,24. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2], [2, 2, 4, 4, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4], [2, 2, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5]]
[[5], [2, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5]]
[[], [2, 4, 4], [5, 5], [5, 5], [2, 5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5], [], [2, 2, 2, 2, 2]]
[[5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [5], [5], [5], [5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [4, 4], [5], [5], [2, 2, 5]]
[[5], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [2, 5], [5], [4, 4], [2, 5]]
[[5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2], [5], [2, 4], [2, 2, 2], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5]]
[[], [2, 4], [5], [5], [2], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [], [5], [5], [5], [4], [5], [5], [2, 2], [5], [4], [2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [2, 2, 2]]
[[], [5], [2, 2, 2], [], [5], [2, 2], [5], [5], [], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5]]
[[5], [5], [5], [4], [5], [5], [5], [5], [5], [], [], [], [5], [5], [5], [4], [5], [], [5], [2, 2, 2], [2, 2], [2, 2, 2], [5]]
[[5], [], [], [5], [5], [], [], [5], [2, 2], [5], [5], [2, 2], [5], [5], [5], [2, 2], [4], [5], [4], [5], [5], [5], [5], [2, 2]]
-EndAllocation

Instance: [[1], [93], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,24. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,24:
-StartAllocation
[[2, 2, 2, 2, 2, 3, 4, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 5, 5], [2, 2, 3, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 4, 5, 5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 5], [5, 5], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 4], [5, 5, 5]]
[[], [3, 5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5]]
[[5], [2, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [3, 4, 5], [5, 5]]
[[], [3, 5, 5], [5, 5], [2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 5]]
[[], [4], [5, 5], [5, 5], [2, 2, 3, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4], [5, 5], [5, 5], [3, 5], [2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [], [5, 5], [4], [3, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2]]
[[5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [3, 5], [5], [5], [5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [3, 5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [2, 2, 2, 2]]
[[5], [3, 5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [2, 5], [5], [4], [2, 5]]
[[5], [5], [5], [5], [5], [4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [], [4], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 4], [2, 3], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5]]
[[], [2, 2, 2], [5], [5], [5], [3], [5], [2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [], [5], [5], [5], [5], [5], [5], [2, 2], [5], [4], [2, 2, 2], [3], [5], [], [5], [5], [5], [5], [5], [2, 2, 2]]
[[], [5], [2, 2, 2], [3], [5], [2, 2], [5], [5], [], [5], [5], [5], [], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [4], [5], [5], [5], [3], [5], [], [], [], [5], [5], [5], [5], [5], [], [5], [2, 2, 2], [2, 2], [2, 2, 2], [5]]
[[5], [], [], [5], [5], [], [], [5], [2, 2], [3], [5], [2, 2], [5], [5], [5], [2, 2], [5], [5], [4], [5], [5], [5], [5], [2, 2]]
-EndAllocation

Instance: [[1], [100], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,25. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5], [2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5]]
[[5], [4, 4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5], [4, 4, 4, 5, 5]]
[[], [4, 4, 4, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5], [3, 3, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 5], [3, 3, 5, 5], [5]]
[[5, 5], [5, 5, 5], [4, 5, 5], [3, 3, 4, 4], [5, 5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5, 5], []]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [3, 3, 5], [4, 4, 4]]
[[], [3, 3], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 4, 4], [5, 5], [5, 5], [4, 5], [], [5, 5], [5, 5], [5]]
[[], [5, 5], [2, 3, 3], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4], [4, 4], [5, 5]]
[[5], [5], [3, 5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [5], [2, 2, 5], [4, 4], [5], [4, 5], [5], [5]]
[[5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [4, 5], [5], [4, 5], [5], [5], [3, 3], [2, 2, 2, 2]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5], [3, 5], [2, 5], [5], [5], [4, 4], [5], [5], [5], [2, 5], [4]]
[[5], [5], [4], [2, 5], [5], [3, 3], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [2, 5]]
[[5], [5], [5], [5], [5], [3, 3], [5], [2, 2], [5], [5], [5], [5], [4], [2, 2, 2, 2], [4, 4], [5], [5], [5], [5]]
[[4], [5], [5], [5], [5], [4], [5], [5], [3, 3], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [4], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [], [5], [5], [3, 3], [5], [2, 4], [2, 2], [5]]
[[5], [4], [5], [2, 2, 2], [5], [3, 3], [5], [5], [5], [2, 2, 2], [], [4], [5], [5], [5], [5], [5], [5], [5], [5], [4], []]
[[5], [], [5], [], [4], [4], [5], [5], [5], [5], [5], [2, 2, 2], [], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [4], [5]]
[[], [4], [], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [4], [3, 3], [], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5]]
[[5], [5], [4], [5], [], [], [2, 2], [2, 2], [5], [], [5], [5], [5], [4], [2, 2], [3], [5], [3], [5], [5], [5], [5], [4], [5], [5]]
-EndAllocation

Instance: [[1], [99], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,25. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,25:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2], [2, 2, 4, 5, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5]]
[[], [4, 4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5], [5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 5], [5, 5, 5], [5, 5, 5]]
[[5, 5], [5, 5], [2, 5, 5], [4, 4, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 4, 5], [4, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [2, 2, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [5, 5], [4, 4]]
[[], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2], [5, 5], [5, 5], [5]]
[[], [5, 5], [2, 2, 2], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5], [4, 4], [5, 5]]
[[5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5], [5], [4, 5], [5], [5]]
[[5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 5], [2, 5], [2, 5], [5], [4, 4], [5], [5], [5], [2, 5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], []]
[[4], [5], [5], [5], [5], [4], [5], [5], [5], [2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [5], [2], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [2, 4], [2, 2, 2], [5]]
[[5], [5], [5], [2, 2, 2], [2, 2], [5], [5], [5], [5], [2, 2, 2], [], [4], [5], [5], [5], [5], [5], [5], [5], [5], [4], []]
[[5], [], [5], [5], [4], [], [5], [5], [5], [5], [5], [2, 2, 2], [], [2, 2, 2], [5], [5], [2, 2], [5], [5], [5], [5], [4], [5]]
[[5], [4], [], [5], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [4], [5], [], [5], [5], [2, 2], [2, 2, 2], [5], [], [5], [5], [5]]
[[5], [5], [5], [2, 2], [], [], [2, 2], [2, 2], [5], [], [5], [5], [5], [4], [2, 2], [], [5], [5], [5], [5], [5], [5], [4], [5], [5]]
-EndAllocation

Instance: [[1], [98], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,25. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5]]
[[5], [2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4], [3, 3, 5, 5, 5, 5]]
[[], [3, 3, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[5], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [3, 3, 5, 5]]
[[5], [3, 3, 5, 5], [5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[3, 3, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5]]
[[], [3, 5, 5], [5, 5], [4, 4, 5], [2, 5], [3, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [3, 3, 5], [2, 4, 4], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [3, 3, 5], [4, 4], [2, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 3], [2, 2], [5, 5], [], [5, 5], [4, 4]]
[[5], [2, 2, 5], [2, 2, 5], [3, 5], [2, 5], [4, 5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [3, 5], [5]]
[[5], [5], [2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [2, 2, 5], [3, 3], [2, 2, 5], [5], [5]]
[[5], [5], [4, 5], [2, 2, 2, 2], [5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 2], [3, 5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 5], [4, 4], [2, 3, 3], [2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4, 4], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [3], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5]]
[[5], [5], [3, 3], [5], [5], [5], [5], [2, 2, 2], [5], [2], [5], [4], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5]]
[[5], [3, 3], [5], [5], [4], [5], [5], [2, 4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [], []]
[[5], [5], [4], [5], [5], [5], [5], [2], [2, 2, 2], [5], [5], [5], [5], [], [3, 3], [2, 2, 2], [5], [5], [4], [], [5], [5]]
[[5], [5], [5], [5], [], [5], [5], [4], [2, 2, 2], [5], [5], [], [4], [2], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [3, 3]]
[[], [5], [5], [], [5], [5], [5], [5], [2], [], [5], [2, 2, 2], [5], [5], [5], [5], [4], [5], [3, 3], [5], [4], [2, 2, 2], [], [5]]
[[5], [2, 2], [5], [5], [5], [], [5], [], [5], [2, 2], [4], [4], [2, 3], [5], [5], [5], [5], [3], [5], [], [5], [5], [5], [], [2, 2]]
-EndAllocation

Instance: [[1], [97], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,25. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5], [3, 5, 5, 5]]
[[5], [2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [3, 5, 5, 5, 5]]
[[], [3, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 5, 5]]
[[5], [3, 5, 5], [5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[3, 5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], []]
[[], [5, 5], [5, 5], [4, 4, 5], [2, 2, 5], [3, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [3, 5], [2, 2, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [3, 5], [4, 4], [2, 2, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [3], [2, 2, 2], [5, 5], [], [5, 5], [4, 4]]
[[5], [2, 2, 5], [2, 2, 5], [3, 5], [2, 2, 5], [4, 5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [4, 4], [5], [2, 2, 5], [3, 5], [2, 2, 5], [5], [5]]
[[5], [5], [4, 5], [2, 2, 2, 2], [5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 5], [4, 4], [2, 2, 3], [2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [], [5], [5], [4, 4], [5], [], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2], [5], [5], [2, 2, 2], [5], [5], [4], [3], [4], [5], [5]]
[[5], [3], [5], [5], [4], [5], [5], [2, 4], [5], [5], [2], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [], [5]]
[[5], [5], [4], [5], [5], [5], [5], [2, 2], [2, 2, 2], [5], [5], [5], [5], [], [3], [2, 2, 2], [5], [5], [4], [], [5], [5]]
[[5], [5], [5], [5], [], [5], [5], [4], [2, 2, 2], [5], [5], [], [4], [2], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [2, 3]]
[[], [5], [5], [], [5], [5], [5], [5], [2], [], [5], [2, 2, 2], [5], [5], [5], [5], [4], [5], [2, 3], [5], [4], [2, 2, 2], [], [5]]
[[5], [2, 2], [5], [5], [5], [], [5], [], [5], [2, 2], [4], [4], [2, 3], [5], [5], [5], [5], [5], [5], [2], [5], [], [5], [], [2, 2]]
-EndAllocation

Instance: [[1], [104], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,26. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [4, 4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [3, 3, 3, 5], [3, 3, 4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 5], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4]]
[[], [5, 5], [3, 3, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 4, 4], [4, 4], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3], [4, 4], [3, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4], [3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [5, 5], [4, 4], [3], [3, 3, 3], [3, 3, 3], [4, 4]]
[[5], [3, 5], [3, 3, 3], [3], [3, 5], [5], [5], [3, 4], [3, 5], [4, 4], [3, 5], [3, 5], [5], [4, 5], [4, 4]]
[[5], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 5], [4, 4], [4, 4], [3, 3, 3], [5], [5], [4, 4]]
[[5], [5], [4, 5], [3, 3, 3], [4, 4], [3, 4], [5], [3, 3, 3], [4, 4], [5], [5], [3, 3, 3], [5], [5], [5], [5], []]
[[5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3], [3], [5]]
[[5], [5], [3, 3], [4, 4], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [4, 4], [5], [], [3, 3], [5]]
[[], [], [4, 4], [5], [5], [5], [], [3, 3], [4, 4], [3, 3], [4, 4], [5], [3, 3], [5], [3, 5], [3, 3], [5], [3, 5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4], [5], [4], [5], [5], [4], [5], [3, 3], [5], [4], [5], [4], [3, 3], [5], [5], [4], [3, 3]]
[[5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [], [4], [4], [4], [3, 3], [5], [5], [4], [5], [3, 3], [5], [3, 3], [5], [4]]
[[], [5], [5], [3, 3], [3, 3], [4], [4], [4], [5], [5], [5], [4], [4], [], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [4], [5]]
[[5], [5], [4], [4], [5], [3, 3], [3, 3], [4], [], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [5], [4], [5], [5], [5], [4], []]
[[5], [4], [], [4], [], [], [], [5], [5], [4], [4], [4], [5], [4], [5], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [3, 3]]
[[3], [4], [5], [5], [4], [4], [3], [3], [4], [5], [4], [4], [5], [3], [3], [3], [5], [5], [5], [3], [3], [3], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [103], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,26. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[4], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [4, 4, 4, 4, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [3, 3, 3, 3], [3, 4, 4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 4], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 4], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4]]
[[], [5], [3, 3, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3], [4, 4], [3, 4], [4, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4], [3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [4, 5], [5, 5], [5, 5], [4, 4], [], [5, 5], [4, 4], [3], [3, 3, 3], [3, 3, 3], [4, 4]]
[[5], [3, 5], [3, 3, 3], [3, 3], [3, 5], [5], [], [4, 4], [3, 5], [4, 4], [3, 5], [3, 5], [5], [4, 5], [4, 4]]
[[5], [5], [5], [5], [3, 3, 3], [4, 5], [3, 3, 3], [], [5], [3, 5], [4, 4], [4, 4], [3, 3, 3], [5], [5], [4, 4]]
[[5], [4, 5], [4, 5], [3, 3, 3], [4, 4], [3, 4], [], [3, 3, 3], [4, 4], [5], [5], [3, 3, 3], [5], [5], [5], [5], []]
[[5], [4], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3], [3], [5]]
[[5], [5], [3, 3], [4, 4], [4, 4], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [5], [5], [4, 4], [5], [], [3, 3], [5]]
[[], [4], [4, 4], [5], [5], [5], [], [3, 3], [4, 4], [3, 3], [4, 4], [], [3, 3], [5], [3, 5], [3, 3], [5], [3, 5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4], [5], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [5], [4], [3, 3], [5], [5], [4], [4]]
[[5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [], [4], [4], [4], [3, 3], [5], [5], [4], [5], [3, 3], [5], [3, 3], [4], [4]]
[[], [5], [5], [3, 3], [3, 3], [4], [4], [4], [5], [3, 3], [5], [4], [4], [], [5], [3, 3], [4], [5], [3, 3], [5], [5], [4], [5]]
[[5], [5], [4], [4], [5], [3, 3], [3, 3], [4], [], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [4], [4], [5], [5], [5], [4], []]
[[5], [4], [], [4], [], [4], [], [5], [5], [4], [4], [4], [5], [4], [], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [3, 3]]
[[3], [4], [5], [5], [4], [4], [3], [3], [4], [4], [4], [4], [5], [3], [3], [3], [5], [5], [5], [3], [3], [3], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [102], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,26. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5, 5, 5]]
[[], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 5], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [3, 3, 3, 3], [3, 3, 4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4]]
[[], [5], [3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3], [4, 4], [3, 3, 4], [4, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [5], [5, 5], [4, 4], [], [5, 5], [4, 4], [3, 3], [3, 3, 3], [3, 3, 3], [4, 4]]
[[5], [3, 5], [3, 3, 3], [3, 3], [3, 5], [5], [], [3, 4], [3, 5], [4, 4], [3, 5], [3, 5], [5], [4, 5], [4, 4]]
[[5], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3], [4, 4], [4, 4], [3, 3, 3], [5], [5], [4, 4]]
[[5], [3, 5], [5], [3, 3], [4, 4], [3, 3], [4, 4], [3, 3], [4, 4], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3]]
[[5], [], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3], [3, 3], [5]]
[[5], [3, 5], [3, 3], [4, 4], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [], [5], [5], [4, 4], [5], [], [3, 3], [5]]
[[], [], [4, 4], [3, 5], [5], [5], [], [3, 3], [4, 4], [3, 3], [4, 4], [], [3, 3], [5], [3, 5], [3, 3], [5], [3, 5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4], [5], [4], [5], [3], [4], [5], [3, 3], [5], [4], [5], [4], [3, 3], [5], [5], [4], [3, 3]]
[[5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [], [4], [4], [4], [3, 3], [5], [5], [4], [3], [3, 3], [5], [3, 3], [5], [4]]
[[], [5], [5], [3, 3], [3, 3], [4], [4], [4], [5], [3, 3], [5], [4], [4], [], [5], [3], [3, 3], [5], [3, 3], [5], [5], [4], [5]]
[[5], [5], [4], [4], [5], [3, 3], [3, 3], [4], [], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [3], [4], [5], [5], [5], [4], []]
[[5], [4], [], [4], [], [], [], [5], [5], [4], [4], [4], [5], [4], [3], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [3, 3]]
[[3], [4], [5], [5], [4], [4], [3], [3], [4], [3], [4], [4], [5], [3], [3], [3], [5], [5], [5], [3], [3], [3], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [101], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,26. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,26:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2], [2, 2, 5, 5, 5, 5, 5, 5, 5, 5], [2, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 5, 5, 5, 5], [2, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4]]
[[], [4, 4], [5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5], [4, 4, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [5, 5], [], [4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [5], [5, 5], [2, 2, 2, 2], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [], []]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 5], [4, 5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [2, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [2, 2, 2, 2], [4, 5]]
[[5], [5], [2, 5], [5], [5], [2, 5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [2, 5], [5], [5], [2, 5], [2, 5], [5]]
[[5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5]]
[[5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 5], [], [2, 2, 2, 2], [5]]
[[], [], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [], [2, 2, 2], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [5], [2, 2, 2], [], [5], [5], [5], [2, 2], [5], [2, 4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [4]]
[[], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [4], [5], [], [5], [], [5], [5], [5], [5], [5], [4], [5]]
[[5], [5], [2, 4], [5], [5], [5], [5], [5], [], [5], [5], [5], [2, 2], [5], [5], [2, 2, 2], [], [5], [2, 2, 2], [], [5], [5], [4], []]
[[5], [4], [], [4], [5], [5], [5], [5], [5], [], [5], [], [5], [], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [2, 2, 2], [], [5], [5]]
[[], [2], [5], [5], [], [5], [], [2, 2], [5], [2, 2], [4], [4], [2, 2], [2, 2], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [108], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,27. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[4], [4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5]]
[[], [3, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 5], [5, 5]]
[[], [4, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4], [5, 5, 5], [4, 4, 4, 4], [3, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 4, 4], [3, 5, 5], [3, 5, 5], [3, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4], [4, 4, 4], [3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4], [5], [5, 5], [], [3, 3, 3], [5, 5], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5], [3, 3, 4], [3, 3, 3], [4, 4], [5, 5], [], [5, 5]]
[[], [3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [], [5, 5], [4, 5], [5, 5], [], [5, 5], [5, 5], [4, 4], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [3, 5], [3, 5], [4, 5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5]]
[[5], [4, 4], [5], [3, 4], [5], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [3, 5], [5], [4, 4], [5]]
[[5], [3, 5], [5], [5], [3, 3], [5], [5], [3, 4], [4, 4], [3, 5], [5], [5], [5], [3, 3], [3, 3], [5], [4, 4], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [5], [4, 4], [3, 3], [5], [4], [5], [3, 5], [5], [3, 3], [3, 3], [5]]
[[5], [5], [3, 3], [4], [4, 4], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [3, 5], [5], [5], [5], [5], [5], [3, 3], [5], []]
[[5], [5], [5], [3, 5], [3, 3], [4, 4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [5], [4], [5], [3, 3], [], [4, 4], [5], [5]]
[[5], [3, 3], [5], [4], [3, 3], [3, 3], [5], [5], [4], [5], [3, 3], [4], [5], [3], [4], [5], [5], [5], [5], [4], [3, 3], [5]]
[[5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [3, 3], [5], [4], [3, 3], [3, 3], [4], [3, 3], [4], [3], [], [4], [3, 3], [5]]
[[5], [4], [5], [3, 3], [3, 3], [5], [], [5], [3, 3], [5], [], [4], [3], [4], [5], [3, 3], [5], [5], [4], [4], [5], [5], [5], [3, 3]]
[[5], [3, 3], [4], [5], [3, 3], [4], [5], [5], [], [5], [5], [3, 3], [4], [5], [5], [4], [], [3], [3, 3], [5], [5], [], [3, 3], [5], [4]]
[[4], [5], [4], [], [3], [4], [5], [5], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [3, 3], [5], [3, 3], [], [5], [], [5], [5], [], [4], [5]]
[[4], [4], [5], [3], [3], [3], [3], [4], [5], [5], [3], [5], [5], [5], [3], [5], [3], [5], [4], [5], [3], [3], [3], [5], [4], [3], [5]]
-EndAllocation

Instance: [[1], [107], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,27. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5]]
[[], [3, 5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5]]
[[], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 5], [5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [], [5, 5, 5], [4, 4, 4, 4], [3, 3, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 4], [3, 5, 5], [3, 5, 5], [3, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 5]]
[[], [], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4], [5], [5, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [], [5, 5]]
[[], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [], [5], [5, 5], [4, 4], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [3, 5], [3, 5], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [3, 5]]
[[5], [4, 4], [5], [3, 3], [5], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [3, 5], [5], [4, 4], [5]]
[[5], [3, 5], [5], [3, 3], [3, 3], [5], [5], [5], [4, 4], [3, 5], [5], [5], [5], [3, 3], [3, 3], [5], [4, 4], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [5], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5]]
[[5], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [3, 5], [5], [5], [5], [5], [5], [3, 3], [], [3]]
[[5], [], [5], [3, 5], [3, 3], [4, 4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [5], [5], [5], [3, 3], [], [4, 4], [5], [3, 5]]
[[5], [3, 3], [5], [4], [3, 3], [3, 3], [5], [5], [4], [5], [3, 3], [4], [5], [3, 3], [], [5], [5], [5], [5], [4], [3, 3], [5]]
[[5], [5], [], [5], [5], [4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [4], [5], [], [4], [3, 3], [5]]
[[5], [3, 3], [5], [3, 3], [3, 3], [5], [], [5], [3, 3], [5], [], [4], [], [4], [5], [3, 3], [5], [5], [4], [4], [5], [5], [5], [3, 3]]
[[5], [3, 3], [4], [5], [3, 3], [4], [5], [5], [], [5], [5], [3, 3], [4], [5], [5], [4], [], [3, 3], [3, 3], [5], [5], [], [3, 3], [5], []]
[[4], [5], [4], [], [3, 3], [], [5], [5], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [3, 3], [5], [3, 3], [], [5], [], [5], [5], [], [4], [5]]
[[5], [4], [5], [3], [3], [3], [3], [4], [5], [3], [3], [5], [5], [5], [3], [5], [3], [5], [4], [5], [3], [3], [3], [5], [4], [3], [5]]
-EndAllocation

Instance: [[1], [106], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,27. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5], [4, 4, 5], [5], [5, 5, 5], [5, 5, 5]]
[[5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 5, 5]]
[[], [5, 5], [5, 5], [4, 4, 5], [2, 2, 2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4]]
[[], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [], [5, 5]]
[[], [2, 2, 2, 2, 2], [4, 4], [5, 5], [], [5, 5], [], [2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[5], [5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5], [2, 5]]
[[5], [5], [5], [4, 5], [5], [5], [5], [2, 5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 5], [4, 5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [4, 4], [2, 5], [5], [5], [5], [2, 5], [5], [2, 5], [5], [2, 5]]
[[5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2], [5], [5], [], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5]]
[[5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2]]
[[5], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [], [4], [5], [4], [5], [2, 2, 2], [5], [5], [5]]
[[5], [2, 2, 2], [5], [5], [5], [5], [2, 2], [2, 2, 2], [5], [5], [], [2, 4], [], [], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [5], [5], [4], [5], [5], [4], [], [5], [2, 2, 2], [5], [5], [], [5], [2, 2, 2], []]
[[4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [], [2, 2, 2], [5], [5], [5], [], [5], [], [2, 2, 2], [5], [], [], [5]]
[[5], [4], [5], [2, 2], [5], [5], [5], [5], [5], [5], [], [2, 2], [2], [2, 2], [], [5], [5], [], [5], [5], [5], [2, 2], [], [5], [4], [5], [5]]
-EndAllocation

Instance: [[1], [105], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,27. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,27:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 5], [2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[], [2, 2, 2, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5], [5, 5, 5, 5], [4, 4, 4, 5, 5]]
[[], [4, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5]]
[[], [4, 4, 4], [5], [5, 5, 5], [5, 5, 5], [2, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5], [5, 5], [2, 2, 5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 5], [5, 5], [2, 2, 2, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 5], [2, 2, 2, 2, 2, 2]]
[[], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], []]
[[], [4, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4], [], [2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [4, 5], [2, 2, 5], [4, 5], [5], [5], [5], [2, 5], [5], [4, 5], [2, 2, 5]]
[[5], [2, 2, 5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [4, 4], [5], [5], [2, 2, 5], [5], [2, 5]]
[[5], [5], [4, 4], [5], [5], [5], [2, 5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [2, 5], [4], [5], [5], [2, 5], [2, 5], [4, 4], [5], [2, 5], [5], [5], [5], [2, 5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [4]]
[[5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [2, 5], [5], [5], [5], [], [5]]
[[4], [4], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 4], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5]]
[[], [2, 2, 2], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [2, 4], [2, 2, 2], [5], [2, 2]]
[[5], [5], [], [5], [4], [2, 2, 2], [4], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [2, 2, 2]]
[[4], [], [5], [5], [5], [4], [], [5], [2, 2, 2], [5], [], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4]]
[[], [5], [], [5], [4], [5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [], [], [5], [2, 2, 2], [5], [2, 2, 2], [4], [5], [5], [5], [5], [5]]
[[], [5], [5], [5], [5], [5], [], [5], [2, 2], [5], [], [5], [4], [], [5], [5], [4], [5], [2, 4], [2, 2, 2], [], [5], [5], [5], [5], [2, 2, 2]]
[[5], [], [2], [], [5], [], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [4], [5], [2, 2], [2, 2], [5], [4], [5], [], [5], [5], [4], [2, 2]]
-EndAllocation

Instance: [[1], [112], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,28. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5]]
[[], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5]]
[[5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5], [2, 5, 5, 5]]
[[], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5], [4, 5, 5], [5, 5], [4, 5], [2, 5, 5], [4, 5, 5], [4, 5, 5], [5, 5]]
[[5], [5, 5], [2, 2, 5], [4, 4, 4], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [2, 2, 5], [4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 4, 4], [2, 4, 4], [5, 5], [], [5]]
[[], [2, 2], [2, 4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5]]
[[5], [5], [4, 5], [5], [2, 2, 5], [4, 5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [2, 2, 5]]
[[5], [5], [4, 4], [5], [2, 2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5]]
[[5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [2, 2, 2, 2], [5], [4, 5], [5], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [2, 5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [2, 5], [5], [5], [5], [5], [4, 4], [], [2, 2, 2, 2], [5], [2, 2, 2]]
[[4], [5], [5], [5], [5], [4], [4], [5], [4], [2, 2, 2], [2, 2, 2], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [4], [5], [], [5], [5], [2, 2, 2], [4], [2, 2], [5], [5], [5], [5], [5], [4]]
[[5], [4], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [4], [2, 2], [5], [5], [5], [4], [2, 2, 2]]
[[4], [], [5], [2, 2, 2], [5], [], [5], [4], [], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2], [5], [5], [4], [5], [5], [4], [5], [5], [5], [5]]
[[5], [5], [5], [5], [4], [5], [4], [5], [5], [5], [4], [5], [], [5], [], [], [5], [5], [2, 2, 2], [5], [5], [5], [], [2, 2, 2], [5], [4], [2, 2]]
[[4], [], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [2, 2], [5], [4], [5], [5], [2, 2], [], [], [], [2, 2], [2, 2], [5], [4], [5], [5], [5]]
-EndAllocation

Instance: [[1], [111], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,28. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5]]
[[], [3, 3, 3, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [4, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [4], [5, 5, 5]]
[[], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], []]
[[], [], [4, 4, 4], [3, 5], [3, 3, 3, 3], [4, 5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 5, 5], [3, 5, 5], [4, 5, 5]]
[[], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [5], [], [4, 4, 4]]
[[], [5, 5], [5], [4, 4, 4], [5, 5], [4, 4], [5, 5], [3, 3, 4], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4]]
[[], [5, 5], [3, 3, 3], [5, 5], [3, 4], [5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [4, 4], [4, 4], [4, 4], [3, 3, 3]]
[[], [5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [4, 4], [], [5, 5], [3, 3, 4], [3, 3], [5, 5], [4, 4], [5, 5], [5, 5]]
[[5], [5], [4, 4], [5], [5], [4, 4], [4, 4], [3, 3, 3], [5], [3, 3, 3], [5], [4, 4], [5], [4, 5], [3, 5], [3, 3, 3]]
[[5], [], [4, 4], [4, 4], [3, 5], [4, 4], [5], [4, 5], [5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [3, 3, 3], [5]]
[[], [3, 3, 3], [3, 3, 3], [3, 5], [4, 5], [4, 4], [5], [], [5], [3, 3, 3], [4, 5], [5], [5], [4, 4], [], [4, 5], [4, 4], [5]]
[[5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4, 4], [5], [5], [4, 4], [4, 4], [5], [4, 4], [5], [5], [3, 3], [4]]
[[5], [], [5], [3, 5], [], [5], [4, 4], [3, 3], [5], [4, 4], [5], [3, 3], [5], [4, 4], [3, 5], [4, 4], [3, 4], [3, 3], [3, 5], []]
[[5], [], [3, 3], [3, 3], [4], [5], [3], [5], [5], [3, 5], [4, 4], [5], [], [4, 4], [5], [5], [3, 3], [3, 3], [5], [4, 4], [4, 4]]
[[5], [4, 4], [5], [5], [3, 3], [4], [3, 3], [3, 5], [5], [4, 4], [5], [], [3, 5], [], [4, 4], [5], [5], [4, 4], [3, 3], [3, 3], [], []]
[[4], [4], [3, 3], [5], [5], [4], [4], [3, 3], [4], [3, 3], [5], [3, 3], [5], [3, 3], [4], [4], [5], [5], [5], [5], [4], [4], [5]]
[[5], [4], [3, 3], [5], [5], [4], [4], [4], [5], [3, 3], [4], [5], [4], [5], [5], [5], [4], [5], [], [3, 3], [4], [3, 3], [3, 3], [4]]
[[4], [4], [4], [5], [5], [4], [3, 3], [], [4], [3, 3], [5], [], [5], [5], [4], [5], [5], [5], [4], [4], [3, 3], [4], [3, 3], [3, 3], [5]]
[[4], [4], [5], [4], [3, 3], [3, 3], [4], [4], [], [5], [5], [4], [5], [3, 3], [5], [4], [5], [3, 3], [4], [3, 3], [], [4], [5], [], [5], [5]]
[[5], [3, 3], [5], [5], [3, 3], [5], [4], [], [5], [], [4], [3, 3], [4], [4], [], [4], [4], [3, 3], [5], [3, 3], [5], [4], [], [5], [5], [4], [4]]
[[4], [3], [5], [3], [5], [4], [5], [3], [3], [3], [3], [5], [4], [3], [4], [5], [5], [4], [3], [4], [4], [3], [5], [5], [4], [4], [5], [3]]
-EndAllocation

Instance: [[1], [110], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,28. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,28:
-StartAllocation
[[3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 5, 5, 5], [3, 3, 3, 3, 3, 5]]
[[], [5, 5, 5], [4, 4, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [4, 4, 4, 4], [4, 4], [3, 3, 3, 3, 3], [3, 3, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 4, 4], [3, 5, 5], [5, 5], [4, 5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [4, 4], [5, 5], [4, 4], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3]]
[[], [3, 3, 3], [], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5]]
[[5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [5], [5], [3, 5], [5], [3, 3, 3], [5], [4, 4]]
[[5], [3, 3, 3], [3, 3, 3], [3, 5], [5], [5], [4, 4], [3, 3, 3], [5], [5], [3, 5], [], [3, 5], [4, 4], [5], [5], [4, 4]]
[[5], [5], [5], [3, 3, 3], [4, 5], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [], [4, 4], [4, 5], [5], [], [5], [3, 3, 3]]
[[5], [3, 3], [], [3, 3], [4, 4], [3, 3], [5], [4, 4], [3, 5], [5], [3, 5], [5], [5], [5], [3, 3], [5], [4, 4], [5], [3, 3]]
[[5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [], [3, 3], [5], [4, 4], [4, 4], [5], [4, 4], [5], [5]]
[[5], [3, 3], [5], [3, 3], [5], [], [4, 4], [3, 5], [3, 5], [], [3, 3], [], [5], [5], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [5]]
[[5], [3, 3], [4], [5], [5], [4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5], [4], [4], [4]]
[[5], [5], [5], [3, 3], [4], [4], [3, 3], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [], [5], [5], [5], [5], [4], [4], [4]]
[[], [3, 3], [5], [5], [5], [5], [5], [3, 3], [4], [3, 3], [4], [4], [5], [], [3, 3], [5], [4], [5], [5], [4], [4], [3, 3], [5], [3, 3]]
[[4], [5], [5], [4], [3, 3], [5], [], [4], [5], [4], [5], [], [4], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [], [4], [5]]
[[5], [4], [3, 3], [5], [5], [3, 3], [5], [5], [4], [4], [5], [], [3, 3], [3, 3], [], [4], [4], [3, 3], [5], [], [3, 3], [], [5], [4], [5], [5]]
[[5], [5], [4], [3, 3], [], [3, 3], [5], [5], [], [4], [5], [], [5], [4], [5], [3, 3], [], [3, 3], [5], [4], [3, 3], [4], [5], [5], [4], [3, 3], []]
[[4], [3], [5], [5], [5], [4], [4], [5], [5], [3], [5], [3], [3], [5], [3], [5], [3], [3], [3], [3], [4], [4], [5], [3], [5], [3], [3], [4]]
-EndAllocation

Instance: [[1], [109], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,28. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,28:
-StartAllocation
[[3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [3, 3, 5, 5, 5, 5]]
[[], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 5]]
[[], [5, 5, 5], [4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4], [3, 3, 3, 3, 3], [3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5], [5, 5], [4, 5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 4], [5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [5, 5], [3, 3, 5], [], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 4]]
[[], [5, 5], [4, 4], [4, 5], [4, 4], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3]]
[[], [3, 3, 3], [4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5]]
[[5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [5], [5], [3, 5], [5], [3, 3, 3], [4], [4, 4]]
[[5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 5], [5], [4, 4], [3, 3, 3], [5], [5], [3, 5], [], [3, 5], [4, 4], [5], [], [4, 4]]
[[5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [], [4, 4], [4, 5], [5], [], [5], [3, 3, 3]]
[[5], [3, 3], [], [3, 3], [4, 4], [3, 3], [4], [4, 4], [3, 5], [5], [3, 5], [5], [5], [5], [3, 3], [5], [4, 4], [5], [3, 3]]
[[5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 4], [3, 5], [5], [5], [], [3, 3], [5], [4, 4], [4, 4], [], [4, 4], [5], [5]]
[[5], [3, 3], [5], [3, 3], [5], [], [4, 4], [3, 5], [3, 5], [], [3, 3], [], [5], [5], [3, 3], [3, 3], [4], [5], [4, 4], [4, 4], [5]]
[[5], [3, 3], [4], [4], [5], [4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5], [4], [4], [4]]
[[5], [5], [4], [3, 3], [4], [4], [3, 3], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [], [5], [5], [5], [5], [4], [4], [4]]
[[], [3, 3], [4], [5], [5], [5], [5], [3, 3], [4], [3, 3], [4], [4], [5], [], [3, 3], [5], [4], [5], [5], [4], [4], [3, 3], [5], [3, 3]]
[[4], [5], [5], [4], [3, 3], [4], [], [4], [5], [4], [5], [], [4], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [], [4], [5]]
[[5], [4], [3, 3], [5], [5], [3, 3], [5], [5], [4], [4], [5], [], [3, 3], [3, 3], [4], [4], [4], [3, 3], [5], [], [3, 3], [], [5], [4], [], [5]]
[[5], [5], [4], [3, 3], [], [3, 3], [5], [5], [], [4], [4], [], [5], [4], [5], [3, 3], [], [3, 3], [5], [4], [3, 3], [4], [5], [5], [4], [3, 3], []]
[[4], [3], [5], [5], [3], [4], [4], [5], [5], [3], [5], [3], [3], [5], [4], [5], [3], [3], [3], [3], [4], [4], [5], [3], [5], [3], [3], [4]]
-EndAllocation

Instance: [[1], [116], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,29. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4], [3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5]]
[[4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5], [4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4, 4], [4, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [3, 3, 3, 3, 3], [5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [4, 4, 4]]
[[], [5, 5], [5, 5], [3, 5, 5], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [3, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [], [5, 5], [3, 3], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], []]
[[], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4], [4, 4], [3, 3, 3], [5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [3, 5], [5, 5]]
[[], [3, 3, 3], [3, 3, 3], [3], [], [3, 3, 3], [5, 5], [4, 4], [4, 4], [5, 5], [4, 4], [4], [5, 5], [4, 4], [5, 5], [5, 5]]
[[5], [4, 4], [4, 5], [3, 5], [5], [5], [4, 4], [4, 4], [3, 5], [3, 3, 3], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3], [5]]
[[5], [4, 5], [], [4, 4], [5], [3, 3, 3], [3, 4], [], [3, 3, 3], [5], [3, 3, 3], [4, 5], [4, 5], [5], [4, 5], [4, 4], [5], [5]]
[[5], [], [3, 3, 3], [4, 4], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [3, 5], [4, 4], [5], [4, 4], [5], [5], [4], [5], [5]]
[[4], [4, 4], [3, 3], [4, 4], [4, 4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [4, 4], [5], [3, 3]]
[[5], [5], [4, 4], [5], [5], [], [4, 4], [3, 3], [3, 3], [5], [4, 4], [5], [5], [5], [3, 3], [5], [4, 4], [4], [3, 5], [3, 3], [3]]
[[5], [5], [5], [4], [4, 4], [], [4, 4], [4, 4], [3, 3], [5], [3, 3], [], [5], [3, 3], [5], [3, 3], [5], [5], [4, 4], [5], [3, 3], [5]]
[[5], [5], [3, 3], [4, 4], [3, 3], [5], [], [5], [5], [3, 3], [5], [4], [5], [4, 4], [], [4, 4], [3, 3], [], [5], [3, 3], [5], [5], [4, 4]]
[[5], [4], [5], [4], [4], [4], [5], [3, 3], [5], [5], [5], [3, 3], [4], [3, 3], [3, 3], [5], [4], [3, 3], [4], [5], [5], [4], [5], [4]]
[[5], [5], [5], [4], [4], [3, 3], [4], [5], [4], [5], [5], [4], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4], [], [5], [4], [4]]
[[4], [5], [4], [5], [5], [4], [5], [4], [5], [3, 3], [4], [5], [3, 3], [5], [3, 3], [4], [4], [4], [5], [5], [], [4], [], [3, 3], [3, 3], [5]]
[[5], [4], [3, 3], [3, 3], [4], [4], [5], [5], [5], [5], [5], [4], [], [4], [4], [], [4], [5], [3, 3], [], [5], [4], [5], [5], [3, 3], [4], [3, 3]]
[[5], [], [5], [3, 3], [4], [3, 3], [4], [3, 3], [5], [], [5], [4], [3, 3], [5], [5], [5], [5], [5], [5], [], [4], [3, 3], [], [4], [4], [4], [4], [4]]
[[3], [4], [4], [4], [3], [3], [5], [5], [3], [5], [4], [5], [3], [4], [4], [5], [5], [5], [5], [3], [3], [4], [3], [5], [4], [4], [3], [3], [5]]
-EndAllocation

Instance: [[1], [115], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,29. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2], [2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]]
[[], [4, 4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 4, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 5, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5]]
[[], [2, 5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5], [2, 5, 5, 5], [2, 2, 2, 2]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 4], [5, 5, 5], []]
[[5], [5], [2, 2, 5, 5], [2, 2, 5, 5], [5], [5, 5], [5, 5], [2, 2, 5, 5], [2, 4, 4, 4], [2, 2, 5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[], [5, 5], [], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [], [], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], []]
[[], [4, 4], [2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [], [4, 5], [5, 5], [5, 5], [5, 5], []]
[[5], [4, 5], [5], [4, 5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [5], [2, 5], [5], [2, 2, 5]]
[[5], [5], [4, 4], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [2, 5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [2, 5], [5], [4, 4], [5]]
[[5], [2, 5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 2, 4], [2, 5], [5], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [4], [5], [5], [5], [2, 5], [4, 4], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [4], [5]]
[[], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [4], [5], [2, 2], [5], [2, 2, 2], [2, 4]]
[[5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [2, 2, 2], [5], [4], [5], [], [5], [5], [5], [5], [4], [5], [5], []]
[[5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [], [4], [5], [5], [5], [], [5], [5], [], [5], [5], [5], [5], [5], [4]]
[[4], [], [], [5], [5], [2, 2, 2], [2, 4], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 4], [5], [5], [2], [5]]
[[5], [4], [5], [5], [5], [5], [5], [4], [5], [], [5], [], [2, 2, 2], [5], [], [5], [4], [], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [], [5], [5], [5], [2, 2], [5], [5], [5], [5], [], [], [5], [5], [5], [5], [5], [], [5], [4], [2, 2], [2, 2], [4], [2], [5], [4], [5], [2, 2], [5]]
-EndAllocation

Instance: [[1], [114], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,29. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[5], [4, 4, 4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 4], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3], [3, 3, 3, 3, 4, 4]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5], [5, 5, 5], [4, 4, 4]]
[[], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [4, 4, 4, 4], [3, 4, 4, 4], [3]]
[[], [4, 5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [], [4, 4, 4], [3, 5, 5], [3, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4]]
[[], [5, 5], [3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 5], [], [3, 3, 5]]
[[], [3, 3, 3, 3], [3, 3], [3, 3, 3, 3], [], [5, 5], [4, 4, 4], [3, 3, 4], [5, 5], [], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [4, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5], [3, 3, 3], [5, 5], [], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3]]
[[], [4, 4], [5, 5], [5, 5], [3], [], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [4, 4], [4, 4], [3, 3, 4], [3, 3, 3], [3, 3, 3]]
[[5], [4, 4], [5], [4, 5], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [4, 5], [4, 5], [5], [5], [4, 4], [], [5]]
[[5], [4, 4], [4, 4], [3, 3, 3], [5], [4, 5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3], [], [5]]
[[5], [5], [3], [4, 4], [3, 5], [5], [3, 3], [5], [5], [3, 5], [5], [4, 4], [3, 5], [5], [4], [3, 3], [3, 3], [4, 4], [3, 3]]
[[5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [5], [4], [4, 4], [5], [3, 5], [4, 4], [], [4, 4], [3, 5]]
[[5], [3, 3], [5], [5], [3, 3], [3, 5], [4, 4], [], [3, 3], [3, 4], [3, 3], [5], [5], [4, 4], [5], [4, 4], [5], [3, 3], [], [5], [5]]
[[5], [3, 3], [4, 4], [5], [5], [5], [5], [4], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [4, 4], [3, 3], [], [3, 3], [], [3, 3], [5]]
[[4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [4], [5], [4], [5], [5], [4], [5], [3, 3], [4], [5], [5], [4], [4]]
[[], [4], [4], [5], [3, 3], [5], [5], [4], [4], [5], [5], [5], [5], [4], [3, 3], [4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4]]
[[5], [5], [3, 3], [], [5], [4], [5], [4], [4], [5], [3, 3], [3, 3], [4], [5], [3, 3], [5], [], [3, 3], [5], [5], [5], [4], [3, 3], [4], [4]]
[[5], [4], [3, 3], [3, 3], [3, 3], [4], [4], [5], [4], [5], [4], [], [4], [3, 3], [5], [5], [], [5], [5], [3, 3], [3, 3], [5], [], [5], [5], [4]]
[[4], [], [], [4], [5], [], [4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [4], [4], [5], [5], [3, 3], [3, 3], [3, 3], [4], [5], [5], [], [4]]
[[5], [4], [3, 3], [5], [], [5], [], [4], [5], [3, 3], [5], [], [5], [3, 3], [4], [4], [4], [], [5], [3, 3], [], [5], [3, 3], [5], [4], [5], [4], [3, 3]]
[[3], [3], [5], [5], [5], [5], [5], [5], [5], [4], [4], [3], [3], [3], [5], [3], [4], [3], [5], [4], [3], [4], [4], [3], [3], [4], [3], [3], [5]]
-EndAllocation

Instance: [[1], [113], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,29. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[], [4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], []]
[[], [2, 5, 5, 5], [4, 4, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [2, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 5], [5, 5, 5], []]
[[], [5, 5], [2, 2, 5, 5], [2, 2, 5, 5], [5, 5], [5, 5], [5, 5], [2, 5], [2, 2, 2, 4, 4], [2, 2, 5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [], [5], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], []]
[[], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], []]
[[5], [4, 5], [5], [4, 5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5]]
[[5], [5], [4, 4], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 5], [5], [5], [2, 5], [2, 5], [2, 5], [5], [2, 5], [2, 5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2], [4, 4], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [], [5], [5], [2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2], [4], [5]]
[[], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [4], [5], [2], [5], [2, 2, 2], [2, 2, 2]]
[[5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [], [5], [5], [5], [5], [4], [5], [2], []]
[[5], [5], [], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [], [4], [5], [5], [5], [], [5], [5], [2], [5], [5], [5], [5], [5], [5]]
[[4], [], [], [5], [5], [2, 2, 2], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 4], [5], [5], [], [5]]
[[5], [4], [5], [5], [5], [5], [5], [4], [5], [], [5], [], [2, 2, 2], [5], [], [5], [5], [], [2, 2, 2], [5], [], [2], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [], [5], [5], [5], [2, 2], [5], [5], [5], [5], [], [], [], [5], [5], [5], [5], [], [5], [4], [2, 2], [2, 2], [4], [2, 2], [5], [5], [5], [2, 2], [5]]
-EndAllocation

Instance: [[1], [120], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,30. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5]]
[[5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5]]
[[5], [4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5], [3, 3, 5], [4, 4, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [5, 5], [4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4]]
[[], [3, 3, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[], [3, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5]]
[[5], [2, 5, 5], [3, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [3, 5, 5], [5, 5], [4, 4, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 3], [2, 2, 2, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [4, 4, 5], [5, 5], [2, 2, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5], [5, 5], [5, 5]]
[[], [3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5]]
[[], [5], [5, 5], [4, 4], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [5, 5], [3, 3], [2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [2, 4, 4], [2, 2, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [], [5, 5]]
[[5], [5], [3, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [4, 5], [4, 5], [5], [5], [5], [2, 2, 5]]
[[5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [3, 5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [2, 5], [2, 3, 3], [5], [5], [2, 5], [5], [2, 5], [2, 5], [5], [5], [5], [2, 5], [2, 5], [2, 5], [5], [5]]
[[5], [5], [3, 5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 5], [5], [5], [5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5]]
[[5], [2, 2, 2], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2], [5], [5], [5], [5]]
[[5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [5], [], [5], [5], [2, 4], [5], [2], [5], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [4], [5], [5], [3, 3], [5], [], [2, 2, 2], [5], [2, 2], [5]]
[[5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [], [5], [5], [5], [4], [5], [5], [5], [3, 3], [5], [5], [4], [5], [5], [], [5], [5], [5], [5], [], [2, 2]]
[[5], [5], [], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [5], [5], [2, 2], [3, 3], [4], [5], [], [5], [5], [5], [5], [5], [4], [5], [], [2, 2, 2], [5]]
[[5], [4], [], [], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [4], [5], [2, 2, 2], [5], [2, 2], [], [5], [5], [5], [3, 3], [], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [4], [], [], [3], [5], [5], [5], [], [], [3], [5], [2, 2], [5], [5], [4], [5], [5], [5], [2, 2], [2, 2], [2, 2], [5]]
-EndAllocation

Instance: [[1], [119], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,30. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [3, 5, 5, 5], [4, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5]]
[[], [5, 5, 5], [5], [4, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3]]
[[5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 5], [5, 5], [5, 5], [5, 5]]
[[], [4, 4, 4], [5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [], [5, 5], [3, 4, 4]]
[[], [3, 5], [4, 4], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 5], [5, 5]]
[[], [4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [3], [5, 5], [3, 3, 3], [], [5, 5], [4, 4], [3, 3, 3], [5, 5]]
[[5], [5], [3, 3, 3], [5], [5], [4, 5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [3, 5], [4, 5], [5], [5], [5], [4, 4], [3, 3, 3]]
[[5], [5], [5], [5], [5], [3, 3, 3], [5], [3, 5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [3, 4], [3, 5], [5], [4, 4], [3, 5]]
[[5], [3, 3, 3], [], [5], [5], [3, 3, 3], [5], [3, 3], [3, 3, 3], [5], [5], [4, 4], [3, 5], [5], [4, 4], [3, 5], [5], [4, 5], [5]]
[[5], [3, 4], [5], [3, 5], [5], [4, 4], [5], [3, 3], [3, 5], [5], [3, 3], [5], [5], [5], [4, 4], [3, 3], [5], [3, 3], [3, 3], [5]]
[[5], [4], [5], [3, 3], [3], [4, 4], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [3, 5], [3, 3], [5], [5], [3, 3], [3, 5], [5], [5]]
[[5], [4, 4], [3, 3], [3, 5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [4], [5], [5], [5], [5], [5], [5], [5], [], [3, 3], [3, 3], [5], [5]]
[[5], [4, 4], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [5], [5], [], [5], [3, 3], [5], [3, 5], [3, 3], [3, 3], [4, 4], [], [5], [5], [5]]
[[5], [5], [3, 3], [3], [5], [4], [4], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [4], [5], [4]]
[[5], [3, 3], [], [5], [3, 3], [5], [3, 3], [5], [5], [5], [3], [5], [4], [5], [5], [4], [5], [5], [4], [3, 3], [5], [4], [4], [3, 3], [3, 3]]
[[], [5], [4], [3], [3, 3], [5], [5], [5], [4], [5], [3, 3], [3, 3], [5], [5], [5], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [5], [], [5], [4]]
[[5], [5], [5], [5], [5], [5], [], [4], [5], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [5], [3, 3], [3, 3], [3, 3], [], [4], [5], [4], [3], [5], []]
[[], [5], [3, 3], [5], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [3, 3], [5], [3, 3], [4], [], [3], [3, 3], [4], [5], [3, 3], [], [5], [5], [5]]
[[5], [], [4], [5], [5], [5], [4], [5], [4], [3, 3], [3, 3], [], [5], [3, 3], [3, 3], [4], [3], [5], [5], [], [], [4], [3, 3], [], [5], [3, 3], [5], [5], [5]]
[[3], [5], [4], [5], [5], [3], [3], [5], [3], [3], [5], [5], [4], [3], [4], [5], [3], [3], [5], [5], [3], [5], [3], [4], [4], [5], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [118], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,30. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4, 4, 4, 4], [3, 3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [3, 5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], []]
[[], [5, 5, 5], [5], [3, 4, 4, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3], [5, 5, 5], [3, 3, 3, 3, 3]]
[[5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [4, 4, 4], [5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [], [3, 5, 5], [4, 4, 4]]
[[], [3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4], [], [4, 4], [3, 3, 3], [3, 3, 3], [3, 5], [5, 5]]
[[], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [], [3, 5], [4, 4], [3, 3, 3], [5, 5]]
[[5], [5], [3, 3, 3], [5], [5], [4, 5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [3, 5], [4, 4], [5], [5], [5], [4, 4], [3, 3, 3]]
[[5], [], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [3, 5], [5], [4, 4], [3, 5]]
[[5], [3, 3, 3], [], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [4, 5], [5], [4, 4], [3, 5], [5], [4, 5], []]
[[5], [3, 5], [5], [5], [5], [4, 4], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [3, 3], [3, 3], [4, 4]]
[[5], [4, 4], [5], [3, 3], [3], [4, 4], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [3, 5], [3, 3], [], [5], [3, 3], [3, 5], [5], [5]]
[[5], [4, 4], [3, 3], [3, 5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [4, 4], [5], [5], [5], [], [5], [5], [5], [], [3, 3], [3, 3], [5], [5]]
[[5], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4], [5], [5], [5], [], [5], [], [5], [3, 3], [5], [3, 5], [3, 3], [3, 3], [4, 4], [], [5], [5], [5]]
[[5], [5], [3, 3], [3], [5], [4], [4], [4], [5], [3, 3], [3, 3], [5], [4], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [4], [5], [4]]
[[5], [3, 3], [], [5], [3, 3], [5], [3, 3], [5], [5], [4], [3], [5], [4], [5], [5], [4], [5], [5], [4], [3, 3], [5], [4], [4], [3, 3], [3, 3]]
[[], [5], [4], [4], [3, 3], [5], [5], [5], [4], [5], [3, 3], [3, 3], [5], [5], [5], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [3], [], [5], [4]]
[[5], [5], [5], [5], [5], [5], [], [4], [5], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [], [3, 3], [3, 3], [3, 3], [], [4], [5], [4], [4], [5], [3]]
[[], [5], [3, 3], [5], [4], [3, 3], [4], [5], [], [5], [5], [], [5], [4], [3, 3], [5], [3, 3], [4], [], [3], [3, 3], [4], [5], [3, 3], [4], [5], [5], [5]]
[[5], [], [4], [5], [5], [5], [4], [5], [4], [3, 3], [3, 3], [], [5], [3, 3], [3, 3], [4], [3], [4], [5], [], [], [4], [3, 3], [], [5], [3, 3], [5], [5], [5]]
[[3], [5], [4], [5], [5], [3], [3], [5], [3], [3], [5], [5], [4], [4], [4], [5], [3], [3], [5], [3], [3], [5], [3], [4], [4], [5], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [117], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,30. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [3, 3, 3, 5, 5], [3, 3, 3, 3, 4, 4], [4, 4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3]]
[[], [5, 5, 5], [5], [3, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [4, 5, 5]]
[[], [4, 4, 4], [5], [5, 5], [4, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4], [5, 5], [4, 4, 4]]
[[], [3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5]]
[[], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4], [], [4, 4], [3, 3, 3], [3, 3, 3], [3, 4], [5, 5]]
[[], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [], [3, 4], [4, 4], [3, 3, 3], [5, 5]]
[[5], [5], [3, 3, 3], [5], [5], [4, 4], [4, 5], [3, 3, 3], [3, 3, 3], [5], [3, 5], [4, 4], [5], [5], [5], [4, 4], [3, 3, 3]]
[[5], [4], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [3, 5], [], [4, 4], [3, 5]]
[[5], [3, 3, 3], [], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [4, 4], [5], [4, 4], [3, 5], [5], [4, 5], []]
[[5], [3, 5], [5], [5], [5], [4, 4], [5], [3, 3], [5], [4], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [3, 3], [3, 3], [4, 4]]
[[5], [4, 4], [5], [3, 3], [3], [4, 4], [3, 3], [3, 3], [5], [5], [4, 4], [5], [4], [3, 5], [3, 3], [], [5], [3, 3], [3, 5], [5], [5]]
[[5], [4, 4], [3, 3], [3, 5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [4, 4], [5], [4], [5], [], [5], [5], [5], [], [3, 3], [3, 3], [5], [5]]
[[5], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4], [5], [5], [5], [], [4], [], [5], [3, 3], [5], [3, 5], [3, 3], [3, 3], [4, 4], [], [5], [5], [5]]
[[5], [5], [3, 3], [3], [5], [4], [4], [4], [5], [3, 3], [3, 3], [5], [4], [5], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [4], [5], [4]]
[[5], [3, 3], [4], [5], [3, 3], [], [3, 3], [5], [5], [4], [3], [5], [4], [5], [5], [4], [5], [5], [4], [3, 3], [5], [4], [4], [3, 3], [3, 3]]
[[], [5], [4], [4], [3, 3], [4], [5], [5], [4], [5], [3, 3], [3, 3], [5], [5], [5], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [3], [], [5], [4]]
[[5], [5], [5], [5], [5], [5], [], [4], [5], [4], [5], [3, 3], [3, 3], [4], [4], [3, 3], [], [3, 3], [3, 3], [3, 3], [], [4], [5], [4], [4], [5], [3]]
[[], [5], [3, 3], [5], [4], [3, 3], [4], [5], [], [5], [4], [], [5], [4], [3, 3], [5], [3, 3], [4], [], [3], [3, 3], [4], [5], [3, 3], [4], [5], [5], [5]]
[[5], [], [4], [5], [5], [5], [4], [5], [4], [3, 3], [3, 3], [], [], [3, 3], [3, 3], [4], [3], [4], [5], [4], [], [4], [3, 3], [], [5], [3, 3], [5], [5], [5]]
[[3], [5], [4], [4], [5], [3], [3], [5], [3], [3], [5], [5], [4], [4], [4], [5], [3], [3], [5], [3], [3], [5], [3], [4], [4], [5], [3], [3], [3], [5]]
-EndAllocation

Instance: [[1], [124], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,31. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5, 5], [3, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5, 5], [4, 4, 4], [5, 5], [3, 4, 5], [5, 5], [5, 5]]
[[], [3, 5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 4], [5, 5], [3, 5], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5], [], [5, 5]]
[[], [5, 5], [4], [3, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3]]
[[], [4], [4, 4], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3], [5], [4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [4, 5], [5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [3, 5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [3, 5], [3, 4], [5], [3, 3, 3], [3, 5]]
[[], [3, 4], [3, 3, 3], [5], [4, 4], [5], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4, 4], [5], [4, 4], [3, 3], [4], [5], [3, 5], [3, 5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 5]]
[[5], [5], [4, 4], [3, 3], [5], [3, 3], [5], [3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [5], [5], [3, 3], [4], [5], [5], [3, 5], [3, 3]]
[[5], [3, 4], [3, 3], [5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 5], [3, 3], [5], [], [], [5], [5], [5], [5], [3, 5], [5]]
[[5], [4, 4], [3, 3], [5], [], [3, 3], [5], [3, 5], [5], [5], [5], [4], [5], [], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [5], [5], [3, 3]]
[[5], [5], [4], [5], [3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [4], [4], [4], [5], [5], [4], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [3, 3], [5], [], [5], [5], [3, 3], [5], [3, 3], [4], [4], [4], [5], [5], [3, 3], [4], [3, 3], [5], [5], [3], [5], [5], [3, 3], [5], [4]]
[[], [3, 3], [5], [3, 3], [5], [5], [4], [5], [5], [3, 3], [5], [4], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [4], [], [3], [4], [5], [5], [5], [5]]
[[5], [3, 3], [], [5], [5], [5], [4], [4], [5], [3, 3], [5], [], [], [3], [3, 3], [5], [5], [5], [3, 3], [4], [5], [4], [5], [5], [5], [4], [3, 3], [3, 3]]
[[5], [5], [4], [4], [5], [3, 3], [5], [5], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [], [5], [3, 3], [3, 3], [5], [3, 3], [], [3], [4], [5], [], [5]]
[[5], [], [], [3, 3], [4], [4], [3, 3], [4], [], [3, 3], [5], [5], [5], [4], [3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [], [3, 3], [4], [5], [5], []]
[[4], [5], [5], [4], [3], [3], [5], [3], [3], [5], [5], [5], [5], [3], [4], [5], [3], [3], [5], [3], [3], [5], [5], [5], [3], [3], [4], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [123], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,31. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[4, 4, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5]]
[[], [3, 5, 5], [3, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5], [3, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5, 5], [4, 4, 4], [5, 5], [3, 4, 4], [5, 5], [5, 5]]
[[], [3, 5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [], [], [5, 5]]
[[], [5, 5], [4, 4], [3], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3]]
[[], [4, 4], [4, 4], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3], [], [4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [3, 5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [3, 3, 3]]
[[], [4, 4], [3, 3, 3], [5], [4, 4], [], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4, 4], [5], [4, 4], [3, 3], [4, 4], [5], [5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 5]]
[[5], [5], [4, 4], [3, 3], [5], [3, 3], [], [3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [5], [5], [3, 3], [4, 4], [5], [5], [3, 5], [3, 3]]
[[], [4, 4], [3, 3], [5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 5], [3, 3], [5], [], [], [3, 5], [5], [5], [5], [3, 5], [5]]
[[5], [4, 4], [3, 3], [5], [], [3, 3], [5], [3, 5], [5], [5], [5], [4, 4], [5], [], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [], [5], [5], [3, 3]]
[[5], [5], [4], [5], [3], [5], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [3, 3], [4], [4], [4], [5], [5], [4], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [3, 3], [5], [], [5], [5], [3, 3], [5], [3, 3], [4], [4], [4], [4], [5], [3, 3], [4], [3, 3], [5], [5], [3], [5], [5], [3, 3], [5], [4]]
[[], [3, 3], [5], [4], [5], [5], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [4], [], [3], [4], [5], [5], [5], [5]]
[[5], [3, 3], [], [4], [5], [5], [4], [4], [5], [3, 3], [5], [], [], [3], [3, 3], [5], [5], [5], [3, 3], [4], [5], [4], [5], [5], [5], [4], [3, 3], [3, 3]]
[[5], [5], [4], [4], [5], [3, 3], [4], [5], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [], [5], [3, 3], [3, 3], [5], [3, 3], [], [3], [4], [5], [], [5]]
[[5], [], [], [3, 3], [4], [4], [3, 3], [4], [], [3, 3], [5], [5], [5], [4], [3], [5], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [], [3, 3], [4], [5], [5], [4]]
[[4], [5], [5], [4], [3], [3], [5], [3], [3], [5], [5], [5], [4], [3], [4], [5], [3], [3], [5], [3], [3], [5], [5], [5], [3], [3], [4], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [122], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,31. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5]]
[[4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5]]
[[], [3, 5, 5], [3, 3, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [5], [3, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 5, 5, 5], [4, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5, 5], [4, 4, 4], [5, 5], [3, 3, 4], [5, 5], [5, 5]]
[[], [3, 5, 5], [3, 5, 5], [5, 5], [4, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 4], [5, 5], [3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [], [], [5, 5]]
[[], [5, 5], [4], [3, 3], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3]]
[[], [4], [4, 4], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3], [], [4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [4, 5], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [3, 5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [3, 4], [5], [3, 3, 3], [3, 3, 3]]
[[], [3, 4], [3, 3, 3], [5], [4, 4], [], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [5]]
[[5], [3, 3], [5], [3, 3], [4, 4], [5], [4, 4], [3, 3], [4], [5], [3, 5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 5]]
[[5], [5], [4, 4], [3, 3], [5], [3, 3], [], [3, 3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [5], [5], [3, 3], [4], [5], [5], [3, 5], [3, 3]]
[[], [3, 4], [3, 3], [5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 5], [3, 3], [5], [], [], [3, 5], [5], [5], [5], [3, 5], [5]]
[[5], [4, 4], [3, 3], [5], [], [3, 3], [5], [3, 3], [5], [5], [5], [4], [5], [], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [5], [5], [3, 3]]
[[], [5], [4], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [4], [4], [4], [5], [5], [4], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [3, 3], [5], [], [5], [], [3, 3], [5], [3, 3], [4], [4], [4], [5], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4]]
[[], [3, 3], [5], [3, 3], [5], [5], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [4], [], [], [4], [5], [5], [5], [5]]
[[5], [3, 3], [], [5], [5], [5], [4], [4], [5], [3, 3], [5], [], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4], [], [4], [5], [5], [5], [4], [3, 3], [3, 3]]
[[5], [5], [4], [4], [5], [3, 3], [5], [], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [], [5], [3, 3], [3, 3], [5], [3, 3], [], [3, 3], [4], [5], [], [5]]
[[5], [], [], [3, 3], [4], [4], [3, 3], [4], [], [3, 3], [5], [5], [5], [4], [3, 3], [5], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [], [3, 3], [4], [5], [5], []]
[[4], [5], [5], [4], [3], [3], [5], [3], [3], [5], [5], [5], [5], [3], [4], [5], [3], [3], [5], [3], [3], [3], [5], [5], [3], [3], [4], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [121], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,31. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[4, 4, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 5], [3, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [], [3, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5], [5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [3, 5, 5], [3, 3, 5], [5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 5, 5], [4, 4, 4], [5], [3, 3, 4, 4], [5, 5], [5, 5]]
[[], [3, 5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 4], [5, 5], [3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5], [5, 5], [], [], [5, 5]]
[[], [5], [4, 4], [3, 3], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3]]
[[], [4, 4], [4, 4], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3], [], [4, 4], [5, 5], [5]]
[[5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [5], [], [3, 3, 3], [3, 5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [3, 5], [4, 4], [5], [3, 3, 3], [3, 3, 3]]
[[], [4, 4], [3, 3, 3], [5], [4, 4], [], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [3]]
[[5], [3, 3], [5], [3, 3], [4, 4], [5], [4, 4], [3, 3], [4, 4], [5], [5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3]]
[[5], [5], [4, 4], [3, 3], [5], [3, 3], [], [3, 3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [5], [5], [3, 3], [4, 4], [5], [], [3, 5], [3, 3]]
[[], [4, 4], [3, 3], [5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 5], [3, 3], [5], [], [], [3, 3], [5], [5], [5], [3, 5], [5]]
[[5], [4, 4], [3, 3], [5], [], [3, 3], [5], [3, 3], [5], [5], [5], [4, 4], [5], [], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [], [5], [5], [3, 3]]
[[], [5], [4], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [3, 3], [4], [4], [4], [5], [5], [4], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [3, 3], [5], [], [5], [], [3, 3], [5], [3, 3], [4], [4], [4], [4], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4]]
[[], [3, 3], [5], [4], [5], [5], [4], [5], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [4], [], [3, 3], [4], [5], [5], [5], [5]]
[[5], [3, 3], [], [4], [5], [5], [4], [4], [5], [3, 3], [5], [], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4], [], [4], [5], [5], [5], [4], [3, 3], [3, 3]]
[[5], [5], [4], [4], [5], [3, 3], [4], [], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [], [5], [3, 3], [3, 3], [5], [3, 3], [], [3, 3], [4], [5], [], [5]]
[[5], [], [], [3, 3], [4], [4], [3, 3], [4], [], [3, 3], [5], [5], [], [4], [3, 3], [5], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [], [3, 3], [4], [5], [5], [4]]
[[4], [5], [5], [4], [3], [3], [5], [3], [3], [5], [5], [5], [4], [3], [4], [5], [3], [3], [5], [3], [3], [3], [5], [5], [3], [3], [4], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [128], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,32. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5]]
[[], [4, 4, 5, 5], [5, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [], [5, 5, 5, 5], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [4, 4, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 5], [3, 3, 3, 3, 3], [5, 5, 5], [], [5, 5]]
[[], [4, 4, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [3, 4, 4], [5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5], [3, 4, 4], [5, 5], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [5, 5], [5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4], [3, 3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [5, 5], [5], [5, 5], [4, 4], [5, 5]]
[[], [5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], []]
[[], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5], [], [], [3, 3, 3], [], [5, 5]]
[[5], [3, 5], [3, 5], [5], [3, 3, 3], [5], [5], [5], [3, 5], [4, 4], [3, 5], [3, 5], [3, 5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3]]
[[5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [5], [5], [5], [5], [3, 3, 3], [5], [3, 5], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5]]
[[5], [3, 3, 3], [5], [3, 5], [5], [5], [5], [], [4, 4], [3, 5], [5], [3, 3], [3, 3, 3], [3, 5], [3, 5], [3, 3, 3], [5], [5], [5], [5], [5]]
[[5], [3, 5], [3, 5], [5], [5], [3, 3], [], [3, 3], [5], [5], [3, 3], [3, 5], [5], [4, 4], [3, 5], [5], [], [3, 5], [3, 5], [3, 3], [5], [3, 5]]
[[5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 5], [3, 3], [3, 5], [4, 4], [5], [], [3, 3], [3, 5], [5]]
[[5], [], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [5], [3, 5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5]]
[[5], [5], [5], [3, 5], [5], [5], [3, 3], [4, 4], [5], [5], [5], [5], [], [], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5]]
[[5], [], [3, 3], [5], [5], [3], [4], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [3, 3]]
[[4], [5], [5], [3, 3], [5], [5], [5], [3], [3, 3], [3, 3], [5], [5], [], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [4], [5], [3, 3], [3, 3], [5], [5]]
[[4], [], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [4], [], [5], [5], [3, 3], [], [5]]
[[], [3, 3], [3, 3], [4], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [], [5], [], [3], [5], [4], [5], [5], [5], [5], [3, 3], [5]]
[[5], [3, 3], [], [], [5], [3, 3], [5], [5], [5], [], [4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [], [4], [3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [], [], [5], [3], [5], [4], [3, 3], [3, 3], [4], [], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], []]
[[3], [3], [5], [5], [3], [5], [4], [3], [3], [5], [4], [5], [3], [5], [3], [5], [5], [3], [5], [3], [5], [3], [5], [3], [3], [5], [5], [3], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [127], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,32. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5]]
[[], [4, 4, 4, 5], [5, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [], [5, 5, 5, 5], [3, 3, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3], [3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [4, 4, 4, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [5, 5]]
[[], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [4, 4, 4], [], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [4, 4, 4], [5, 5], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [5, 5], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [5, 5], [4], [5, 5], [4, 4], [5, 5]]
[[], [], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], []]
[[], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5], [], [], [3, 3, 3], [], [4, 5]]
[[5], [3, 5], [5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [4, 4], [3, 5], [3, 5], [4, 5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3]]
[[5], [5], [3, 3, 3], [4, 4], [3, 4], [5], [5], [5], [5], [5], [5], [3, 3, 3], [5], [3, 5], [3, 3, 3], [5], [3, 5], [3, 3, 3], [5], [5]]
[[5], [3, 3, 3], [], [3, 5], [5], [5], [5], [], [4, 4], [3, 5], [5], [3, 3], [3, 3, 3], [3, 5], [3, 5], [3, 3, 3], [5], [4, 5], [5], [5], [5]]
[[5], [3, 5], [3, 5], [5], [5], [3, 3], [], [3, 3], [5], [4], [3, 3], [3, 5], [5], [4, 4], [3, 5], [5], [], [3, 5], [3, 5], [3, 3], [5], [3, 5]]
[[5], [5], [3, 3], [5], [5], [4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 5], [3, 3], [3, 5], [4, 4], [5], [], [3, 3], [3, 5], [5]]
[[5], [], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [5], [3, 5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5]]
[[5], [5], [5], [3, 5], [5], [5], [3, 3], [4, 4], [5], [5], [5], [5], [], [], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [4], [3, 3], [3, 3], [5], [5]]
[[5], [], [3, 3], [5], [5], [3], [4], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [5], [4]]
[[4], [5], [5], [3, 3], [5], [5], [5], [3], [3, 3], [3, 3], [5], [5], [], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [4], [5], [3, 3], [3, 3], [5], [4]]
[[4], [], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3], [5], [4], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [4], [], [5], [5], [3, 3], [], [5]]
[[], [3, 3], [3, 3], [4], [3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [], [5], [4], [5], [5], [], [5], [], [3, 3], [5], [4], [5], [5], [5], [5], [3, 3], [5]]
[[5], [3, 3], [], [], [5], [3, 3], [5], [5], [4], [], [4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [], [4], [3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [], [5]]
[[4], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [], [], [5], [3], [5], [4], [3, 3], [3, 3], [4], [], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], []]
[[3], [3], [5], [5], [3], [5], [4], [3], [3], [5], [4], [5], [3], [5], [3], [5], [5], [3], [5], [3], [5], [3], [5], [3], [3], [5], [5], [3], [3], [3], [4], [5]]
-EndAllocation

Instance: [[1], [126], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,32. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5]]
[[5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[3, 3, 3, 3, 3, 4, 4], [5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5], [4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5]]
[[], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 5], [5, 5, 5], [5], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [4, 4, 4, 4], [5], [3, 3, 3, 5], [3, 3, 3, 3, 3], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [4, 4, 5], [4, 4, 4], [3, 5, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3], [], [4, 4, 4], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 5], [4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [], [4, 4, 4], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 5], [3, 3, 3, 3], [4, 4], [5, 5], [5, 5]]
[[], [5, 5], [], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5], [4, 4, 4], [4, 4], []]
[[], [5, 5], [4, 4], [5, 5], [4, 4], [3, 5], [4, 4], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5]]
[[], [5, 5], [3], [4, 4], [3, 3, 3], [3, 3, 3], [5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], []]
[[5], [5], [4, 4], [4, 4], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [3, 5], [3, 3, 3], [4, 4], [4, 4], [5], [3, 5], [5], [3, 3, 3]]
[[], [3], [5], [5], [5], [3, 3, 3], [4, 5], [4, 4], [4, 5], [4, 5], [5], [5], [5], [4, 5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [3, 3, 3]]
[[5], [4, 4], [3, 3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [5], [3, 3, 3], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [3], [4, 4]]
[[5], [5], [4, 4], [5], [5], [5], [4, 4], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 5], [4, 4], [5], [3, 3], [3, 3], [3, 3]]
[[], [3], [], [3, 3], [3, 5], [4, 4], [3, 5], [5], [3, 5], [5], [5], [3, 3], [3, 3], [5], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3], [4, 4], [5]]
[[5], [], [4, 4], [5], [], [5], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [5], [3, 3], [3, 3], [3, 5], [5], [5], [3, 3]]
[[], [4, 4], [3, 3], [], [], [], [5], [5], [5], [5], [4, 4], [3, 5], [3, 5], [5], [3, 3], [3, 3], [4, 4], [3, 5], [3, 3], [5], [3, 3], [5], [5], [4, 4]]
[[], [5], [3, 3], [3, 3], [4, 4], [5], [], [3, 3], [5], [5], [5], [], [4, 4], [], [5], [4, 4], [4, 4], [5], [5], [5], [3, 3], [3, 5], [3, 3], [5], [3, 3]]
[[5], [5], [5], [5], [4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4], [4], [4], [5], [5], [4], [3], [3, 3], [3, 3], [3, 3], [4], [4], [4]]
[[4], [3, 3], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [], [4], [4], [4], [5], [4], [3, 3], [5], [5], [4], [5], [5], [5], [5], [4], [5], [3, 3], [3]]
[[4], [5], [3, 3], [4], [4], [3, 3], [5], [3, 3], [4], [5], [4], [5], [5], [5], [3, 3], [4], [5], [5], [5], [], [5], [3, 3], [], [4], [5], [3], [4], [3, 3]]
[[5], [3], [4], [5], [5], [3, 3], [5], [5], [4], [3, 3], [3, 3], [5], [], [4], [5], [3, 3], [4], [5], [5], [5], [3, 3], [4], [], [4], [5], [4], [4], [3, 3], []]
[[], [4], [], [5], [4], [3, 3], [5], [], [4], [3, 3], [5], [5], [], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [4], [5], [3], [5], [3, 3], [5], [4], [4], [3, 3]]
[[4], [5], [5], [5], [4], [5], [3], [3, 3], [4], [4], [4], [3, 3], [], [3, 3], [], [5], [4], [5], [], [5], [], [3, 3], [4], [], [5], [3, 3], [3, 3], [5], [5], [4], [5]]
[[3], [5], [3], [5], [3], [5], [5], [5], [5], [3], [4], [4], [5], [3], [3], [3], [4], [4], [3], [3], [4], [3], [5], [4], [4], [3], [5], [3], [5], [4], [3], [5]]
-EndAllocation

Instance: [[1], [125], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,32. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,32:
-StartAllocation
[[2, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5], [3, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5, 5], [4, 4, 4, 5, 5], [5, 5, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 5, 5, 5], [5, 5], [5, 5, 5, 5], [4, 4, 4, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 5, 5], [5, 5, 5], [2, 5, 5, 5], [4, 4, 4]]
[[], [3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5], [2, 2, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [2, 2, 5], [5, 5, 5], [3, 5, 5], [5], [5, 5, 5]]
[[], [5, 5], [2, 4, 4, 4], [5, 5], [2, 2, 5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5], [5, 5], [5, 5], [3, 5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5]]
[[], [5, 5], [5], [3, 5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5], [], [4, 4, 4]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 5], [5, 5], [4, 5], [], [], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 3]]
[[], [], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [3], [5, 5], [4, 4], [5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [2, 2, 2, 2, 2]]
[[5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [3, 5], [2, 2, 5], [4, 5], [5], [5], [2, 2, 5], [4, 5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [4, 5], [5], [4, 5], [4, 5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [4, 4], [5], [4, 5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [2, 5], [2, 5], [5], [5], [4], [5], [5], [2, 2, 2, 2], [2, 5], [4, 4], [3, 5], [5]]
[[5], [5], [5], [5], [5], [3, 5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 4], [5]]
[[5], [5], [2, 2, 2, 2], [4, 4], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [3, 5]]
[[5], [5], [5], [5], [5], [], [5], [2, 2, 2, 2], [5], [5], [5], [4], [3, 5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [4], [5], [5], [5], [5], [3], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [2, 4], [5], [5], [5]]
[[5], [5], [5], [5], [4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [3], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2], [2, 2, 2], [5], [5], [5], [4]]
[[5], [5], [5], [5], [2, 2, 2], [], [5], [5], [2], [2, 2, 2], [5], [5], [3], [5], [5], [5], [4], [4], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5]]
[[], [2, 2, 2], [5], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [2], [5], [3], [5], [5], [5], [4]]
[[5], [2, 2, 2], [5], [2, 2, 2], [], [5], [5], [2], [5], [5], [4], [5], [], [2, 2, 2], [5], [5], [5], [4], [5], [4], [5], [5], [5], [5], [5], [5], [5], [], [3]]
[[5], [5], [], [4], [5], [5], [5], [5], [3], [5], [5], [4], [5], [5], [5], [], [5], [2, 2, 2], [5], [], [5], [5], [4], [2, 2, 2], [5], [5], [2], [5], [], [2, 2, 2]]
[[5], [5], [], [5], [2, 2, 2], [5], [5], [], [], [5], [4], [5], [5], [5], [3], [], [2, 2, 2], [5], [2], [4], [5], [], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [], [5], [5], [2, 2], [2, 2], [5], [2, 3], [], [4], [2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [4], [5], [], [], [5], [5], [2, 2], [4], [2], [5]]
-EndAllocation

Instance: [[1], [132], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,33. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[4], [4, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5]]
[[], [4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4], [5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [5, 5], [4, 4, 4, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3], [5, 5, 5, 5]]
[[], [3, 3, 4, 4, 4], [3, 3, 3], [], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4], [5, 5, 5], [], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5]]
[[5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 5, 5], [3, 5, 5], [4, 4, 4], [3, 5, 5], [5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5], [5, 5], [5, 5]]
[[], [], [5], [4, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4], [3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 5], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], []]
[[5], [4, 4], [3, 5], [5], [3, 5], [5], [3, 5], [3, 3, 3], [4, 5], [5], [5], [5], [5], [3, 5], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3], [5]]
[[5], [5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [5], [5], [3, 5], [5], [5], [4, 5], [5], [3, 3, 3], [5], [3, 5], [3, 3, 3]]
[[5], [3, 5], [5], [], [3, 5], [3, 5], [5], [5], [3, 3], [3, 5], [5], [5], [5], [3, 3, 3], [5], [4, 4], [5], [4, 5], [3, 3, 3], [5], [3, 3, 3]]
[[5], [5], [5], [3, 5], [5], [3, 5], [4, 4], [5], [3, 3], [3, 5], [4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 5], [3, 5], [3, 3]]
[[], [5], [5], [5], [5], [5], [4, 4], [3, 4], [5], [3, 5], [3, 3], [5], [5], [3, 3], [5], [3, 5], [5], [5], [3, 5], [3, 3], [3, 5], [3, 3], [3, 3]]
[[5], [5], [5], [3, 3], [3, 3], [5], [5], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4], [5], [3, 3], [5], [3, 5], [3, 3], [5]]
[[5], [5], [5], [3, 5], [5], [3, 3], [3, 5], [5], [3, 3], [], [], [3, 3], [5], [5], [4], [3, 3], [], [3, 5], [4, 4], [5], [5], [3, 5], [5], [3, 5], [3, 3]]
[[5], [5], [4], [], [5], [3, 3], [], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [4, 4], [3, 5], [3, 3]]
[[5], [5], [3, 3], [5], [3, 3], [4], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [3], [5], [4], [5], [5], [], [5], [5], [4], [5], [5], [5], [5], [3, 3], [5]]
[[5], [5], [5], [4], [5], [5], [5], [5], [3], [3, 3], [4], [3, 3], [3, 3], [3, 3], [3, 3], [], [5], [5], [4], [5], [], [5], [5], [5], [3, 3], [3, 3], [5], [5]]
[[5], [5], [5], [3, 3], [4], [3, 3], [5], [3, 3], [3, 3], [5], [4], [], [3, 3], [], [5], [5], [5], [5], [], [5], [5], [5], [4], [3], [3, 3], [5], [5], [5], [3, 3]]
[[5], [5], [4], [5], [5], [], [5], [3], [5], [4], [3, 3], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [3, 3], [3, 3], [5], [], [5], [3, 3], [5], [], [], [5], [5], [5]]
[[], [4], [5], [3, 3], [5], [], [5], [3, 3], [5], [3, 3], [], [4], [5], [5], [3], [4], [3, 3], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [], [3, 3]]
[[5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [3, 3], [5], [5], [4], [], [3, 3], [5], [3, 3], [3, 3], [5], [], [4], [], [5], [5], [5], [3, 3], [], [5], [5], [5], [], [3], []]
[[5], [5], [3], [5], [5], [5], [3], [4], [3], [3], [4], [3], [5], [5], [5], [3], [3], [3], [5], [3], [3], [5], [5], [3], [3], [3], [5], [5], [3], [4], [3], [5], [5]]
-EndAllocation

Instance: [[1], [131], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,33. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[4], [4, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5]]
[[], [4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [3, 4, 4, 4, 4], [5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3], [5, 5, 5, 5]]
[[], [4, 4, 4, 4], [3, 3, 3, 3], [], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5]]
[[5], [4, 5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 5, 5], [3, 5, 5], [4, 4, 4], [3, 5, 5], [4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [4, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [3], [3, 3, 4], [], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [4, 5], [3, 3, 3, 3], [], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5], [5, 5], [5, 5]]
[[], [], [], [4, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], []]
[[5], [4, 4], [3, 5], [5], [3, 5], [5], [3, 5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [3, 5], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3], [5]]
[[5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [4, 5], [4, 5], [5], [3, 3, 3], [5], [5], [3, 3, 3]]
[[5], [3, 5], [5], [], [3, 5], [3, 5], [5], [5], [3, 3], [3, 5], [5], [5], [5], [3, 3, 3], [5], [4, 4], [5], [4, 4], [3, 3, 3], [5], [3, 3, 3]]
[[5], [5], [5], [3, 5], [5], [3, 3], [4, 4], [5], [3, 3], [5], [4, 4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 5], [3, 5], [3, 3]]
[[], [5], [5], [3, 5], [5], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3], [], [5], [3, 3], [5], [3, 5], [5], [5], [3, 5], [3, 3], [3, 5], [3, 3], [3, 3]]
[[5], [], [5], [3, 3], [3, 3], [5], [5], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4, 4], [5], [3, 3], [5], [3, 5], [3, 3], [5]]
[[5], [], [5], [3, 5], [5], [3, 3], [3, 5], [5], [3, 3], [], [], [3, 3], [5], [5], [4, 4], [3, 3], [], [3, 5], [4, 4], [5], [5], [3, 5], [5], [3, 5], [3, 3]]
[[5], [5], [4, 4], [], [5], [3, 3], [], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [], [5], [5], [4, 4], [3, 5], [3, 3]]
[[5], [5], [3, 3], [5], [3, 3], [4], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [3], [4], [4], [5], [5], [], [5], [5], [4], [5], [5], [5], [5], [3, 3], [5]]
[[5], [5], [5], [4], [5], [5], [5], [5], [3], [3, 3], [4], [3, 3], [3, 3], [3, 3], [3, 3], [], [5], [5], [4], [5], [], [5], [4], [5], [3, 3], [3, 3], [5], [5]]
[[5], [5], [5], [3, 3], [4], [3, 3], [4], [3, 3], [3, 3], [5], [4], [], [3, 3], [], [5], [5], [5], [5], [], [5], [5], [5], [4], [3], [3, 3], [5], [5], [5], [3, 3]]
[[5], [5], [4], [5], [5], [], [5], [3, 3], [5], [4], [4], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [3, 3], [3, 3], [5], [], [5], [3, 3], [3], [], [], [5], [5], [5]]
[[4], [4], [5], [3, 3], [5], [], [5], [3, 3], [5], [3, 3], [], [4], [5], [5], [3], [4], [3, 3], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [], [5], [5], [5], [], [3, 3]]
[[5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [3, 3], [5], [5], [4], [], [3, 3], [5], [3, 3], [3, 3], [5], [], [4], [], [5], [5], [5], [4], [], [5], [5], [3], [], [3, 3], []]
[[5], [5], [3], [5], [5], [5], [3], [4], [3], [3], [4], [3], [5], [5], [3], [3], [3], [3], [5], [3], [3], [5], [5], [3], [3], [3], [5], [5], [4], [4], [3], [5], [5]]
-EndAllocation

Instance: [[1], [130], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,33. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5]]
[[5], [4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5]]
[[], [5, 5, 5, 5, 5], [2, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 5, 5, 5, 5, 5]]
[[], [4, 4, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5], [3, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 5, 5, 5], [5, 5, 5, 5], [5, 5], [4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5, 5], [3], [5, 5, 5, 5], [2, 2, 2, 2, 4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [2, 2, 5, 5], [5, 5, 5], [4, 4, 4], [5, 5, 5], [3, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5]]
[[], [5], [5, 5, 5], [3, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5, 5], [2, 2, 2, 3, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [3, 5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], []]
[[], [5, 5], [5], [5, 5], [5], [5, 5], [5, 5], [5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3], [5, 5]]
[[], [3], [4, 4, 4], [5, 5], [5], [5, 5], [5, 5], [2, 2], [2, 5, 5], [2, 5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2], [3, 5], [5, 5], [5, 5], [], [4, 5], [5, 5], [4, 4], [5, 5], []]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4], [3, 5], [5, 5], [4], [], [2, 2, 2, 2, 2], [5, 5], []]
[[5], [5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [4, 5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [3, 5], [2, 2, 5]]
[[5], [2, 2, 5], [4, 5], [5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [3, 5], [5], [4, 5], [5], [2, 2, 5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [3, 4], [5], [4, 4], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5]]
[[5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [5], [3, 5], [2, 5], [5], [4], [5], [2, 5], [5], [5], [4, 4], [5], [5], [2, 5], [5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [4, 4], [4], [5], [2, 5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 5], [2, 2], [5], [4], [2, 2, 2, 2]]
[[5], [5], [2, 2, 2, 2], [5], [], [2, 2], [4], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 4], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [3], [4]]
[[5], [3], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [5], [2, 4], [5], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [2, 2, 2], [5], [5]]
[[4], [], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [2], [3], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4]]
[[4], [2, 2, 2], [], [5], [4], [5], [5], [5], [5], [2], [5], [5], [5], [5], [4], [5], [3], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [4], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [2], [5], [3], [], [5], [5], [5], [5], [], [5], [4], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [5], [5], [5], [], [], [5], [], [5], [5], [], [5], [5], [4], [5], [2, 2, 2], [4], [2, 3], [5], [], [5], [5], [5], [5]]
[[5], [4], [5], [5], [5], [5], [5], [], [5], [4], [], [5], [5], [2, 2, 2], [5], [2, 4], [], [], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [3]]
[[4], [3], [2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2], [4], [5], [], [2, 2], [5], [4], [5], [5], [5], [], [5], [2, 2], [5], [5], [2, 2], [], [], [], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [129], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,33. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5]]
[[5], [4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5, 5, 5], [2, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5, 5], [], [5, 5, 5, 5], [2, 2, 2, 2, 4, 4, 4], [5, 5, 5, 5], [2, 2, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5]]
[[], [2, 2, 2, 5, 5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5]]
[[], [5], [5, 5, 5], [2, 2, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5]]
[[], [5, 5], [], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5]]
[[], [], [4, 4, 4], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2], [2, 5, 5], [2, 5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [2, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [4, 5], [5, 5], [4, 4], [5, 5], []]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [4, 4], [5, 5], [5, 5], [4], [], [2, 2, 2, 2, 2], [5, 5], [2]]
[[5], [2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [4, 5], [2, 2, 5]]
[[5], [2, 2, 5], [4, 5], [5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 5], [4, 5], [5], [2, 2, 5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [4, 4], [5], [2, 2, 4], [5], [5], [2, 2, 5], [5], [5], [2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5]]
[[5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [4], [5], [2, 5], [5], [5], [4, 4], [2, 5], [5], [2, 5], [5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [4, 4], [4], [5], [2, 5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [2, 2, 2], [5], [4], [2, 2, 2, 2]]
[[5], [5], [2, 2, 2, 2], [5], [], [2, 2, 2], [4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [4], [2, 2], [5], [5], [4], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5]]
[[5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [5], [2, 4], [], [5], [2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [2, 2, 2], [5], [5]]
[[4], [], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [], [5], [5], [2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4]]
[[4], [2, 2, 2], [], [5], [4], [5], [], [5], [5], [2, 2], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [4], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [2, 2], [5], [], [], [5], [5], [5], [5], [], [5], [4], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [5], [5], [5], [], [], [5], [], [5], [5], [], [5], [5], [4], [5], [2, 2, 2], [4], [2, 2], [5], [], [5], [5], [5], [5]]
[[5], [4], [5], [5], [5], [5], [5], [], [5], [4], [], [5], [5], [2, 2, 2], [5], [2, 4], [], [], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [2]]
[[4], [], [2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2], [4], [5], [], [2, 2], [5], [4], [5], [5], [5], [], [5], [2, 2], [5], [5], [2, 2], [], [], [5], [2], [5], [5], [5]]
-EndAllocation

Instance: [[1], [136], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,34. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 5], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,34:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5], [4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5]]
[[], [5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [5], [3, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 5], []]
[[], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5], [5, 5, 5], [5, 5, 5], [3, 3, 3], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5], [4, 5, 5], [4, 4, 4], [3, 5, 5], [4, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 5], [5, 5], [4, 4, 4]]
[[], [5, 5], [3, 5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 5], [5, 5], [4, 4, 4]]
[[], [], [4, 4, 4], [4, 4, 4], [4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 5], [5, 5], [5, 5], [], [5, 5], [3, 3, 3, 3]]
[[], [4, 4], [3], [4, 4], [3, 3, 3], [5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3, 3], [4, 4], [5, 5]]
[[], [], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [], [4, 4], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [4, 5], [3, 4], [3, 3, 3]]
[[], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [3, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [3, 3, 3], [5, 5], [], [4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [4, 5], [5], [3, 5], [5], [4, 4], [5], [4, 4], [4, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [5], [4, 4], [5], [4, 4], [5], [5], [3, 3, 3], [5], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [3, 5]]
[[5], [4, 4], [5], [3, 3, 3], [4, 4], [5], [5], [4, 4], [3, 3, 3], [5], [5], [3, 3, 3], [5], [4, 4], [], [5], [3, 5], [5], [5], [3, 3, 3], [5], [5]]
[[5], [3, 5], [5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [5], [5], [4, 4], [3, 3], [5], [5], [5], [5], [4, 4], [5], [4, 4], [5], [3, 3], [5], [3, 3]]
[[5], [5], [5], [3, 3], [4, 4], [5], [3, 3], [5], [5], [4, 4], [], [3, 3], [5], [3, 3], [5], [5], [5], [4, 4], [3, 5], [4, 4], [5], [5], [3, 3], [3, 3]]
[[5], [3, 5], [5], [3, 3], [5], [4, 4], [5], [], [5], [5], [3, 3], [5], [3, 3], [5], [4, 4], [5], [4, 4], [5], [3, 3], [4, 4], [3, 3], [5], [3, 3], [], [5]]
[[5], [], [3, 5], [5], [3, 3], [5], [3, 5], [5], [], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 5], [4, 4], [5], [5], [4, 4], [4, 4], [5], [], [], [3, 3]]
[[5], [3, 3], [5], [5], [], [3, 5], [5], [4, 4], [3, 3], [5], [4, 4], [4, 4], [5], [3, 3], [], [], [4, 4], [], [5], [3, 3], [5], [5], [3, 3], [5], [3], [5], [3, 5]]
[[5], [3, 3], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [4], [4], [5], [3], [5], [5], [4], [5], [5], [4], [5], [3, 3], [4], [4], [4], [5], [5], [3, 3]]
[[4], [3, 3], [3, 3], [5], [3, 3], [5], [4], [], [4], [5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [4], [5], [4], [5], [5], [4], [3], [5], [3, 3], [3, 3], [5]]
[[5], [5], [4], [3, 3], [4], [], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [3], [5], [5], [4], [4], [5], [4], [5], [4], [4], [5], [], [5], [5], [4], [5]]
[[5], [3, 3], [4], [5], [4], [3, 3], [5], [5], [5], [4], [4], [5], [4], [3, 3], [], [5], [4], [5], [5], [5], [3, 3], [], [5], [3], [4], [5], [4], [], [3, 3], [5], [3, 3]]
[[4], [3, 3], [5], [3, 3], [4], [5], [4], [5], [5], [5], [5], [5], [3, 3], [4], [4], [3, 3], [], [], [3], [4], [], [5], [3, 3], [5], [4], [5], [5], [5], [], [4], [3, 3], [5]]
[[5], [5], [4], [3, 3], [3, 3], [3], [4], [], [4], [4], [3, 3], [4], [5], [5], [5], [4], [5], [3, 3], [], [3, 3], [], [5], [], [4], [4], [5], [5], [5], [5], [5], [3, 3], [5], []]
[[3], [5], [4], [3], [5], [3], [3], [3], [3], [4], [4], [3], [4], [5], [5], [5], [3], [5], [5], [5], [3], [3], [3], [4], [5], [5], [5], [5], [4], [3], [5], [4], [4], [3]]
-EndAllocation

Instance: [[1], [135], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,34. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 3, 3, 3, 3, 5], [4, 4, 5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5]]
[[], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 3], [4, 4, 5], [5, 5, 5]]
[[], [5, 5, 5], [4, 4, 5], [3, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5], [5, 5, 5]]
[[], [5, 5], [5, 5], [2, 2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 4], [5, 5], [3, 3, 5], [4, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5]]
[[], [3, 3, 5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4], [], [5, 5], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2], [3, 3, 3, 3], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 4], [3, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 3, 3], [2, 2, 2, 2, 2], [3, 3, 3], [5, 5]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [2, 4, 4], [5, 5], [5, 5], [2, 5]]
[[], [], [5, 5], [3, 3, 3], [5], [5, 5], [5], [], [3, 3, 3], [5, 5], [5, 5], [4, 4], [], [5, 5], [2, 2, 2, 2, 2], [2, 2, 5], [5, 5], [5, 5], [5, 5]]
[[5], [3, 5], [4, 4], [5], [2, 5], [5], [3, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [2, 2, 5], [5], [3, 5], [5], [5], [3, 5], [3, 5]]
[[5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [5], [4, 4], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5], [3, 5], [2, 2, 5], [5], [5], [5], [5], [3, 5]]
[[5], [5], [2, 5], [3, 3, 3], [3, 5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [2, 2, 5], [5], [5], [3, 5], [5], [5], [5], [5], [3, 5], [5]]
[[5], [5], [3, 5], [5], [4, 4], [5], [3, 5], [5], [5], [3, 3], [5], [3, 5], [2, 2, 2, 2], [3, 5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [4, 4], [3, 3], [2, 3, 3], [5], [2, 5], [3, 3], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2], [5], [5], [], [5], [4, 4], [3, 5], [5], [5], [5], [5], [5], [3, 5], [2, 2, 2, 2], [3, 3], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5], [3, 3], [5], [5], [2, 2, 2], [5], [5], [3, 3], [5], [], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [2], [5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [2], [], [5], [5], [4], [4], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [2, 2, 2], [2], [5], [5], [2, 2, 2], [], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [5], [5], [4], [5]]
[[5], [5], [], [5], [5], [3, 3], [5], [5], [5], [5], [], [5], [5], [5], [4], [2, 2, 2], [5], [], [3, 3], [3, 3], [5], [5], [], [5], [5], [5], [2, 4], [5], [2, 2, 2], [5]]
[[5], [3, 3], [], [5], [4], [5], [5], [5], [5], [2, 4], [3, 3], [5], [], [5], [5], [3, 3], [], [5], [5], [5], [], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5]]
[[], [5], [5], [2, 4], [5], [5], [5], [5], [5], [3, 3], [5], [], [5], [3, 3], [5], [4], [5], [5], [5], [], [2, 2, 2], [], [], [5], [], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3]]
[[5], [3, 3], [], [5], [2, 2, 2], [4], [], [5], [5], [5], [3, 3], [5], [3, 3], [5], [], [2, 2, 2], [5], [5], [5], [5], [4], [], [2], [5], [], [5], [5], [5], [5], [5], [5], [5], []]
[[3], [5], [2], [5], [5], [5], [], [5], [3], [5], [5], [5], [4], [3], [], [5], [5], [4], [2, 2], [5], [5], [5], [5], [2, 2], [5], [5], [2, 2], [5], [5], [3], [], [3], [5], [3]]
-EndAllocation

Instance: [[1], [134], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,34. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,34:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5], [5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 3, 5, 5, 5, 5], [4, 4, 5, 5, 5], [5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [3, 3, 5, 5], [5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 5, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5], [4, 4, 5, 5], [2, 5, 5, 5]]
[[], [5, 5], [2, 2], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 5], [5, 5, 5]]
[[], [5, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [], [3, 3], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [2, 2, 5, 5]]
[[5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 4], [5, 5], [5, 5], [4, 5, 5], [5, 5], [5, 5], [3, 3, 5], [5]]
[[], [5, 5], [5, 5], [5], [2, 2, 2, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 5], [5, 5], [5, 5], [4, 4], [5], [5, 5], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2], [3, 3, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 4], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 3], [5, 5]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5], [3, 3], [5, 5], [5, 5], [5], [5, 5], [], [], [2, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2]]
[[], [], [5, 5], [5, 5], [5, 5], [5, 5], [5], [], [3, 3], [5, 5], [5], [4, 4], [], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[5], [3, 5], [4, 5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [3, 5], [5]]
[[5], [3, 5], [5], [5], [5], [3, 5], [5], [4, 4], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5]]
[[5], [5], [2, 2, 5], [2, 3, 3], [5], [2, 2, 2, 2], [5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [2, 5], [5], [5], [5], [4, 5], [5]]
[[5], [5], [5], [2, 5], [4, 4], [5], [3, 5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [2, 5], [5], [2, 5], [3, 3], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2, 2], [2, 5], [5], [], [2, 5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [2, 2], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [2], [], [5], [5], [4], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [2, 2, 2], [3, 3]]
[[5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [2, 2, 2], [2], [], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [], [5], [5], [5], [5], [4], [5]]
[[5], [5], [], [5], [5], [3, 3], [5], [5], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [4], [5], [5], [], [2, 2, 2], [5], [5], [2, 4], [5], [2, 2, 2], [5]]
[[5], [5], [], [5], [4], [5], [5], [5], [5], [2, 4], [5], [5], [], [5], [5], [3, 3], [], [2, 2, 2], [5], [5], [], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5]]
[[], [5], [5], [2, 4], [5], [5], [5], [5], [5], [3, 3], [5], [], [5], [5], [5], [4], [5], [5], [5], [], [2, 2, 2], [], [], [5], [2, 2, 2], [5], [5], [5], [5], [], [2, 2, 2], [5]]
[[5], [5], [], [5], [2, 2, 2], [2, 4], [], [5], [5], [5], [3, 3], [5], [5], [5], [], [2, 2, 2], [5], [5], [5], [5], [4], [], [2, 2, 2], [5], [], [5], [5], [], [5], [5], [5], [5], []]
[[3], [5], [2, 2], [5], [5], [], [], [5], [], [5], [5], [5], [4], [3], [], [2, 2], [5], [4], [2, 2], [5], [5], [5], [5], [2, 2], [5], [5], [2, 2], [5], [5], [5], [], [5], [5], [5]]
-EndAllocation

Instance: [[1], [133], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,34. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5], [2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 4, 4]]
[[5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 4, 4, 4], [5]]
[[], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5], [], [2, 2, 2], [5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [4, 4, 4], [5, 5], [5, 5], [4, 5], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 4], [5, 5], [2, 5, 5], [2, 5, 5], [2, 5, 5], [], [4, 4, 4], [5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [4, 4], [5, 5], [2, 2, 2, 2, 2], [2, 5], [], [2, 2, 2, 2, 2]]
[[], [5, 5], [], [2, 5], [4, 4], [5, 5], [], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], []]
[[5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5], [5], [4, 5], [5], [5], [5], [5], [2, 5], [4, 5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5]]
[[5], [4, 5], [5], [5], [5], [5], [5], [2, 2, 5], [2, 5], [2, 2, 5], [5], [4, 5], [5], [5], [4, 5], [2, 2, 2, 2], [5], [4, 5], [2, 2, 5], [5]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [4, 5], [5], [5], [5], [4, 5], [2, 2, 5], [5], [5]]
[[5], [5], [5], [4, 5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], [2, 5], [5], [2, 2, 2, 2], [5], [4, 5], [5], [5], [2, 2, 5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 5], [5], [5], [5], [4, 4], [5], [5], [5], [4, 4], [5], [5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [4, 4], [2, 5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [2, 5], [2, 5], [2, 2, 2, 2], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [5]]
[[5], [4, 4], [5], [], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [2, 2, 2], [4], [5], [4], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5]]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [2], [4], [2, 2, 2], [5], [4], [2, 4], [5], [], [5], [5], [5], [5], [5]]
[[4], [4], [5], [5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2], [], [5], [4], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [5], [], [5], [5], [5], [5], [], [2, 4], [5], [5], [5], [4], [2, 2, 2], [2, 2, 2], [2, 4], [5], [], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [], [5], [5], [5]]
[[5], [5], [4], [4], [2, 2, 2], [5], [5], [5], [], [5], [5], [], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [2, 2], [2, 2, 2], [5], [5], [5], [5], [], [4], [5], [], [5]]
[[5], [5], [5], [5], [2, 2], [], [4], [2, 2, 2], [], [5], [], [], [4], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [4], [2, 2, 2], [5]]
[[5], [2, 4], [5], [], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [2, 4], [], [], [5], [], [5], [5], [], [5], [5], []]
[[5], [2, 2], [5], [5], [5], [2], [5], [], [], [], [2, 2], [2, 2], [4], [5], [], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [4], [5], [4], [5], [4], [2, 2], [2, 2]]
-EndAllocation

Instance: [[1], [140], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,35. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5]]
[[], [3, 3, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5], [4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [4, 4, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 4, 4, 4], [4, 4, 4, 4]]
[[5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 4], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5]]
[[], [], [3, 3, 3, 3], [3, 5], [3, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [4, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3], [], [5, 5]]
[[], [], [], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [], [3, 3, 4], [], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 4], [], [4, 4], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5, 5], []]
[[5], [5], [4, 4], [4, 4], [5], [4, 4], [5], [4, 5], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3]]
[[5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [5], [5], [4, 4], [3, 3, 3], [4, 5], [4, 4], [5], [3, 3, 3], [3, 5], [5], [5], [3, 5], [5], [5]]
[[5], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [5], [], [5], [4, 4], [5], [3, 5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [5]]
[[5], [5], [5], [5], [4, 5], [5], [], [5], [5], [3, 5], [3, 3, 3], [5], [5], [3, 3, 3], [4, 4], [4, 4], [5], [5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [3, 3], [4, 4], [3, 5], [5], [4], [5], [5], [5], [3, 3], [3, 3], [3, 5], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3]]
[[5], [3, 5], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 3], [4], [5], [5], [3, 3], [5]]
[[5], [3, 5], [5], [5], [], [5], [4, 4], [3, 3], [4], [3, 3], [5], [3, 5], [5], [3, 3], [], [4, 4], [5], [3, 5], [3, 3], [4, 4], [5], [5], [], [3, 5], [5], [3, 3]]
[[], [5], [5], [3, 4], [4, 4], [5], [4, 4], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [5], [5]]
[[5], [5], [5], [3, 3], [5], [4], [3, 3], [5], [4], [5], [3, 3], [4], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [4], [5]]
[[5], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [], [4], [4], [5], [3, 3]]
[[5], [], [3, 3], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [4], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [5], [4], [5], [5], [5], [4]]
[[5], [3, 3], [5], [5], [], [3, 3], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [4], [5], [3, 3], [4], [4], [5], [4], [5], []]
[[4], [4], [5], [5], [], [5], [4], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [5], [], [3, 3], [], [4], [5], [5], [5], [5], [3, 3], []]
[[5], [5], [4], [], [4], [], [3, 3], [3, 3], [5], [5], [5], [4], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [4], [4], [5], [4], [5], [5], [], [], [3, 3], [5], [5], [3, 3], [4]]
[[5], [3, 3], [5], [4], [4], [4], [5], [5], [5], [5], [5], [4], [], [5], [5], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [], [5], [3, 3], [4], [], [], [3, 3], [5], [3, 3], [], [3, 3]]
[[5], [5], [3], [5], [5], [4], [3], [5], [3], [5], [5], [3], [3], [3], [5], [4], [5], [4], [5], [5], [4], [3], [3], [3], [4], [3], [3], [4], [3], [4], [3], [5], [5], [3], [5]]
-EndAllocation

Instance: [[1], [139], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,35. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5]]
[[], [3, 3, 3, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 4, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [5], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 4, 4, 5], [4, 4, 4, 4]]
[[5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5]]
[[], [], [3, 3, 3, 3], [3, 3], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [], [5, 5]]
[[], [], [], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [], [3, 3, 3], [], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3], [], [4, 4], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5, 5], []]
[[5], [5], [4, 4], [4, 4], [5], [4, 4], [5], [5], [5], [5], [3, 5], [3, 3, 3], [3, 5], [3, 5], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3]]
[[5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [4, 4], [3, 3, 3], [4, 5], [4, 4], [3, 5], [3, 3, 3], [3, 5], [5], [5], [3, 5], [], [5]]
[[5], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [5], [], [5], [4, 5], [5], [3, 3], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [5]]
[[5], [5], [5], [5], [4, 5], [5], [], [5], [5], [3, 5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 4], [4, 4], [5], [5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [3, 3], [4, 4], [3, 5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5]]
[[5], [3, 5], [5], [5], [], [5], [4, 4], [3, 3], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [4, 4], [5], [3, 5], [3, 3], [4, 4], [5], [5], [3], [3, 5], [5], [3, 3]]
[[], [5], [5], [3, 3], [4, 4], [5], [4, 4], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [5], [5]]
[[5], [5], [5], [3, 3], [5], [4], [3, 3], [5], [4], [5], [3, 3], [3], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [4], [5]]
[[5], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [5], [4], [], [3], [3, 3]]
[[5], [], [3, 3], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [4], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [3], [5], [5], [5], [5], [4]]
[[5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [3], [3, 3], [5], [5], [3, 3], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [4], [5], [3, 3], [], [4], [5], [4], [5], []]
[[4], [4], [5], [5], [], [5], [4], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [5], [], [3, 3], [3], [], [5], [5], [5], [5], [3, 3], []]
[[5], [5], [4], [], [4], [], [3, 3], [3, 3], [5], [5], [5], [4], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [4], [4], [5], [], [5], [5], [3], [], [3, 3], [5], [5], [3, 3], [4]]
[[5], [3, 3], [5], [4], [4], [4], [5], [5], [5], [5], [5], [4], [3], [5], [5], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [], [5], [3, 3], [], [], [], [3, 3], [5], [3, 3], [], [3, 3]]
[[5], [5], [3], [3], [5], [4], [3], [5], [3], [5], [5], [3], [3], [3], [5], [4], [5], [4], [5], [5], [4], [3], [3], [3], [4], [3], [3], [5], [3], [4], [3], [5], [5], [3], [5]]
-EndAllocation

Instance: [[1], [138], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,35. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5], [4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 4, 4, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 4, 4, 4], [4, 4, 4, 4]]
[[5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 4], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 4], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5]]
[[], [], [3, 3, 3, 3], [3, 3], [3, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [4, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [], [5, 5]]
[[], [], [3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 4], [3, 3, 3, 3], [5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [], [3, 3, 3], [], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [4, 5]]
[[], [3, 3, 4], [], [4, 4], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5, 5], []]
[[5], [5], [4, 4], [4, 4], [5], [4, 4], [5], [4, 5], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [3, 5], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3]]
[[5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [5], [5], [4, 4], [3, 3, 3], [4, 5], [4, 4], [3, 5], [3, 3, 3], [3, 5], [5], [5], [3, 5], [], [5]]
[[5], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [5], [], [5], [4, 4], [5], [3, 3], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [5]]
[[5], [5], [5], [3, 3], [5], [3, 5], [3, 5], [5], [5], [3, 5], [3, 3], [5], [5], [3, 3], [4, 4], [4, 4], [5], [4], [3, 3], [5], [4, 4], [3, 3], [3, 3]]
[[5], [5], [5], [5], [5], [3, 3], [4, 4], [3, 5], [5], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 3], [4], [5], [5], [3, 3], [5]]
[[], [3, 5], [5], [5], [], [5], [4, 4], [3, 3], [4], [3, 3], [5], [3, 5], [5], [3, 3], [], [4, 4], [5], [3, 5], [3, 3], [4, 4], [5], [5], [3], [3, 5], [5], [3, 3]]
[[], [5], [5], [3, 4], [4, 4], [3, 5], [4, 4], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [5], [3, 3], [], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [5], [5]]
[[5], [4], [5], [3, 3], [5], [4], [3, 3], [5], [4], [5], [3, 3], [3], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [4], [5]]
[[5], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [], [4], [4], [3], [3, 3]]
[[5], [], [3, 3], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [4], [5], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [3], [4], [5], [5], [5], [4]]
[[5], [3, 3], [5], [5], [], [3, 3], [3, 3], [3], [3, 3], [5], [5], [3, 3], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [4], [5], [3, 3], [4], [4], [5], [4], [5], []]
[[4], [4], [5], [5], [], [5], [4], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [5], [], [3, 3], [3], [4], [5], [5], [], [5], [3, 3], []]
[[5], [5], [4], [], [4], [], [3, 3], [3, 3], [5], [5], [], [4], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [4], [4], [5], [4], [5], [5], [3], [], [3, 3], [5], [5], [3, 3], [4]]
[[5], [3, 3], [5], [4], [4], [4], [5], [5], [5], [5], [5], [4], [3], [], [5], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [], [5], [3, 3], [4], [], [], [3, 3], [5], [3, 3], [], [3, 3]]
[[5], [5], [3], [3], [5], [4], [3], [5], [3], [5], [5], [3], [3], [3], [5], [4], [5], [4], [5], [5], [4], [3], [3], [3], [4], [3], [3], [4], [3], [4], [3], [5], [5], [3], [5]]
-EndAllocation

Instance: [[1], [137], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,35. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 3, 4, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4]]
[[], [5, 5, 5], [5, 5, 5], [3, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [3, 3, 3, 3, 3], [3, 4, 4, 5], [4, 4, 4, 4]]
[[5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5]]
[[], [], [3, 3, 3, 3], [3, 3, 3], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5]]
[[], [5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5]]
[[], [], [], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [], [3, 3, 3], [3], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5]]
[[], [3, 3, 3], [], [4, 4], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [5, 5], []]
[[5], [5], [4, 4], [4, 4], [5], [4, 4], [5], [5], [5], [5], [3, 5], [3, 3, 3], [5], [3, 5], [3, 5], [5], [3, 3, 3], [3, 3, 3], [3, 5], [3, 3, 3]]
[[5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [4, 4], [3, 3, 3], [4, 5], [4, 4], [3, 3], [3, 3, 3], [3, 5], [5], [5], [3, 5], [], [5]]
[[5], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [5], [], [5], [4, 5], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], []]
[[5], [5], [5], [3, 3], [5], [3, 5], [3, 3], [5], [5], [3, 5], [3, 3], [5], [5], [3, 3], [4, 4], [4, 4], [5], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3]]
[[5], [5], [3, 5], [5], [5], [3, 3], [4, 4], [3, 5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 3], [5], [5], [3], [3, 3], [5]]
[[], [3, 5], [5], [5], [], [5], [4, 4], [3, 3], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [4, 4], [5], [3, 5], [3, 3], [4, 4], [5], [5], [3, 3], [3, 5], [5], [3, 3]]
[[], [5], [5], [3, 3], [4, 4], [3, 5], [4, 4], [], [3, 3], [5], [3, 5], [5], [3, 3], [], [5], [3, 3], [], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [5], [5]]
[[5], [4], [5], [3, 3], [5], [], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [4], [5]]
[[5], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [], [4], [], [3, 3], [3, 3]]
[[5], [], [3, 3], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [4], [], [4], [], [3, 3], [4], [5], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [4]]
[[5], [3, 3], [5], [5], [], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [4], [5], [3, 3], [], [4], [5], [4], [5], []]
[[4], [4], [5], [5], [], [5], [4], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [5], [], [3, 3], [3, 3], [], [5], [5], [], [5], [3, 3], []]
[[5], [5], [4], [], [4], [], [3, 3], [3, 3], [5], [5], [], [4], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [4], [4], [5], [], [5], [5], [3, 3], [], [3, 3], [5], [5], [3, 3], [4]]
[[5], [3, 3], [5], [4], [4], [4], [5], [5], [5], [5], [5], [4], [3, 3], [], [5], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [], [5], [3, 3], [], [], [], [3, 3], [5], [3, 3], [], [3, 3]]
[[5], [5], [3], [3], [5], [4], [3], [5], [3], [5], [5], [3], [3], [3], [5], [3], [5], [4], [5], [5], [4], [3], [3], [3], [4], [3], [3], [4], [3], [4], [3], [5], [5], [3], [5]]
-EndAllocation

Instance: [[1], [144], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,36. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,36:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 4, 5], [5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5], [4, 5, 5, 5, 5]]
[[], [4, 4, 4, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5]]
[[], [], [3, 3, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [3, 5, 5, 5], [3, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5], [], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5], [5, 5, 5], []]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [], [4, 4, 4, 4], [], [3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [5, 5]]
[[], [3, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [4, 4, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [4, 4], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5], [3, 3, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3], [], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 4], [3, 3], [5, 5], [5, 5], [4, 4], [], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [], [4, 4], [4, 4], [3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], []]
[[5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 3, 3], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 5], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5]]
[[5], [5], [5], [3, 3, 3], [5], [3, 5], [3, 3, 3], [4, 4], [3, 5], [5], [5], [5], [4, 4], [], [5], [3, 3, 3], [4, 5], [4, 4], [5], [3, 3, 3], [5], [4, 5]]
[[5], [5], [3, 3, 3], [3, 3, 3], [4, 5], [3, 5], [5], [5], [3, 5], [5], [], [5], [5], [4, 5], [3, 3, 3], [5], [4, 4], [4, 4], [5], [3, 3, 3], [], [5], [4, 4]]
[[5], [5], [3, 3], [5], [3, 5], [5], [5], [3, 5], [], [4, 4], [3, 5], [3, 3], [], [4, 4], [3, 5], [3, 3], [3, 5], [3, 5], [5], [4, 4], [5], [3, 3], [4, 4], [5]]
[[5], [5], [3, 3], [5], [4, 4], [3, 5], [4, 4], [3, 3], [5], [5], [5], [4, 4], [5], [3, 5], [5], [3, 3], [], [3, 3], [3, 5], [5], [5], [3], [3, 3], [5], [4, 4]]
[[5], [5], [5], [3, 5], [3, 5], [5], [5], [5], [], [5], [], [3, 3], [3, 3], [5], [3, 3], [5], [5], [3, 3], [3, 3], [4, 4], [3, 3], [5], [4, 4], [4, 4], [5], [4, 4]]
[[5], [4, 4], [4, 4], [3, 3], [5], [5], [5], [], [3, 3], [5], [5], [4, 4], [], [3, 5], [5], [5], [3, 3], [4, 4], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [3, 5], []]
[[5], [4, 4], [3, 5], [], [5], [5], [3, 3], [5], [3, 5], [], [5], [5], [3, 5], [3, 3], [3, 3], [], [4, 4], [4, 4], [3, 3], [5], [5], [3, 5], [], [5], [3, 3], [], [4, 4], [5]]
[[5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [5], [5], [4], [5], [5], [4], [4], [4], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4], [3, 3], [4], [3, 3], [5], [3, 3]]
[[5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [4], [5], [4], [5], [5], [5], [5], [5], [5], [4], [3, 3], [4], [], [3, 3], [5], [4], [4], [5], [4], [5], [3, 3], [3, 3], [5]]
[[4], [5], [4], [3, 3], [5], [5], [], [5], [3, 3], [5], [5], [3, 3], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [], [4], [5], [5], [5], [4], [5], [5], [5]]
[[5], [3, 3], [], [4], [5], [5], [], [5], [4], [4], [5], [5], [5], [3, 3], [4], [4], [4], [5], [4], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5]]
[[5], [4], [5], [3, 3], [5], [5], [4], [], [5], [5], [], [3, 3], [4], [], [4], [3, 3], [5], [5], [5], [5], [5], [3, 3], [4], [3, 3], [4], [4], [4], [5], [3, 3], [5], [], [5], [3, 3]]
[[], [4], [5], [3, 3], [4], [5], [5], [], [4], [5], [5], [3, 3], [5], [4], [5], [5], [], [3, 3], [], [4], [5], [5], [], [5], [3, 3], [4], [3, 3], [5], [4], [5], [3, 3], [3, 3], [4], [5]]
[[5], [], [3, 3], [5], [5], [5], [4], [3, 3], [], [4], [4], [4], [], [5], [5], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [], [3, 3], [], [3, 3], [4], [5], [3, 3], [5], [5], [3, 3]]
[[3], [3], [3], [5], [5], [3], [5], [5], [5], [4], [5], [4], [4], [5], [3], [4], [4], [4], [3], [3], [5], [3], [5], [3], [3], [4], [5], [3], [5], [3], [3], [5], [3], [5], [4], [5]]
-EndAllocation

Instance: [[1], [143], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,36. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5], [4, 4, 4, 4], []]
[[], [5, 5, 5], [5, 5], [5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [4, 5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5], [5, 5], [5, 5], [5, 5]]
[[5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [5]]
[[], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [4], [5, 5], [5, 5], [5, 5], [5], [5, 5], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [2, 5, 5], [5, 5], [5, 5], [5], [4], [], [2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 5], [5, 5], [5], [5, 5], [5, 5], [], [4, 4], [2, 2, 2, 2, 2], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [5, 5]]
[[], [], [5, 5], [4, 4], [2, 5], [5, 5], [], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 4, 4], [4, 4], [2, 2, 2, 2, 2], [], [], [5], [5, 5], [5, 5], [], [5, 5]]
[[5], [4, 5], [2, 2, 5], [5], [5], [4, 5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [2, 5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [5], [5], [5], [5]]
[[5], [2, 2, 5], [5], [5], [4, 5], [4, 4], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [2, 2, 5], [5], [2, 5], [5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 5], [2, 2, 5], [5], [5], [4, 4], [5], [5], [5], [2, 2, 5], [5], [5], [4, 4], [5], [2, 2, 5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [2, 5], [5], [4, 4], [5], [5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [2, 2, 2, 2], [2, 5]]
[[5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [2, 5], [5], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [4, 4], [], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [], [5], [4, 4], [5], [2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2, 4], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [], [5], [5], [2, 4], [4], [5], [5], [5]]
[[5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [], [2, 4]]
[[5], [5], [5], [5], [5], [2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [], [4], [5], [2, 4], [5]]
[[], [5], [2, 2, 2], [2, 2, 2], [5], [5], [4], [5], [2, 2], [5], [4], [5], [5], [5], [5], [4], [5], [5], [5], [4], [5], [5], [], [5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2]]
[[4], [5], [5], [5], [5], [5], [4], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [5], [], [5], [4], [5], [5], [], [5], [2, 2, 2], [5], [2, 2], [5], [5], []]
[[4], [5], [5], [2, 2], [], [5], [], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [2, 2, 2], [5], [4], []]
[[5], [5], [], [4], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [], [5], [], [5], [], [5], [], [2, 2], [5], [5], [5], [4], [5], [4], [5], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [5]]
[[5], [2, 2], [5], [], [4], [], [], [], [5], [5], [5], [2], [5], [5], [5], [2, 2], [5], [5], [5], [4], [5], [2, 2], [], [4], [5], [5], [2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2]]
-EndAllocation

Instance: [[1], [142], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,36. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,36:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 4, 5], [5, 5], [5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5], [4, 5, 5, 5, 5]]
[[], [4, 4, 4, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3]]
[[], [], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5], [5, 5, 5], []]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [4, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [4, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [5]]
[[], [3, 3], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [4, 4, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[], [4, 4], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5], [3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 4, 4], [3, 3, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [], [], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], []]
[[], [4, 4], [5, 5], [5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [4, 4], [5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [], [4, 4], [4, 4], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], []]
[[5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 3, 3], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 3, 3], [5]]
[[5], [5], [5], [3, 3, 3], [5], [3, 5], [3, 3, 3], [4, 4], [3, 3], [5], [5], [5], [4, 4], [], [5], [3, 3, 3], [4, 5], [4, 4], [5], [3, 3, 3], [5], [4, 5]]
[[5], [5], [3, 3, 3], [3, 3, 3], [4], [3, 5], [5], [5], [3, 5], [5], [], [5], [5], [4, 5], [3, 3, 3], [5], [4, 4], [4, 4], [5], [3, 3, 3], [], [3, 5], [4, 4]]
[[5], [5], [3, 3], [5], [3, 5], [5], [5], [3, 5], [], [4, 4], [3, 5], [3, 3], [], [4, 4], [3, 5], [3, 3], [3, 5], [3, 5], [3, 5], [4, 4], [5], [3, 3], [4, 4], []]
[[5], [5], [3, 3], [5], [4, 4], [3, 5], [4, 4], [3, 3], [5], [], [5], [4, 4], [5], [3, 5], [5], [3, 3], [], [3, 3], [3, 5], [5], [5], [3, 3], [3, 3], [5], [4, 4]]
[[5], [5], [5], [3, 5], [3, 5], [5], [5], [5], [], [3, 5], [], [3, 3], [3, 3], [5], [3, 3], [5], [], [3, 3], [3, 3], [4, 4], [3, 3], [5], [4, 4], [4, 4], [5], [4, 4]]
[[5], [4, 4], [4, 4], [3, 3], [5], [5], [5], [], [3, 3], [3, 5], [5], [4, 4], [], [3, 5], [], [5], [3, 3], [4, 4], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [3, 5], []]
[[5], [4, 4], [3, 5], [], [3, 5], [5], [3, 3], [5], [3, 5], [], [5], [5], [3, 5], [3, 3], [3, 3], [], [4, 4], [4, 4], [3, 3], [], [5], [3, 5], [], [5], [3, 3], [], [4, 4], [5]]
[[5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [5], [5], [4], [5], [5], [4], [4], [4], [3, 3], [3, 3], [3], [5], [5], [3, 3], [4], [3, 3], [4], [3, 3], [5], [3, 3]]
[[5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [4], [5], [4], [3], [5], [5], [5], [5], [5], [4], [3, 3], [4], [], [3, 3], [5], [4], [4], [5], [4], [5], [3, 3], [3, 3], [5]]
[[4], [5], [4], [3, 3], [5], [5], [], [5], [3, 3], [5], [5], [3, 3], [3, 3], [4], [4], [3, 3], [4], [5], [3, 3], [5], [4], [3, 3], [], [4], [5], [5], [5], [4], [5], [3], [5]]
[[5], [3, 3], [], [4], [5], [3], [], [5], [4], [4], [5], [5], [5], [3, 3], [4], [4], [4], [5], [4], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5]]
[[5], [4], [5], [3, 3], [5], [5], [4], [], [5], [5], [3], [3, 3], [4], [], [4], [3, 3], [5], [5], [5], [], [5], [3, 3], [4], [3, 3], [4], [4], [4], [5], [3, 3], [5], [], [5], [3, 3]]
[[], [4], [5], [3, 3], [4], [5], [5], [3], [4], [5], [5], [3, 3], [5], [4], [5], [], [], [3, 3], [], [4], [5], [5], [], [5], [3, 3], [4], [3, 3], [5], [4], [5], [3, 3], [3, 3], [4], [5]]
[[5], [], [3, 3], [5], [5], [5], [4], [3, 3], [], [4], [4], [4], [], [5], [5], [4], [3, 3], [4], [5], [], [5], [5], [5], [5], [4], [], [3, 3], [], [3, 3], [4], [5], [3, 3], [3], [5], [3, 3]]
[[3], [3], [3], [5], [5], [3], [5], [5], [5], [4], [5], [4], [4], [5], [3], [4], [4], [4], [3], [3], [5], [3], [5], [3], [3], [4], [5], [3], [5], [3], [3], [5], [3], [5], [4], [3]]
-EndAllocation

Instance: [[1], [141], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,36. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5]]
[[], [4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 4, 4, 4, 5], [5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 5, 5, 5], [4, 4, 4], []]
[[], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 2, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 4, 4, 4], [5, 5]]
[[5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [4, 4, 4], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5], [5, 5], [5, 5], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [2, 5, 5], [5, 5], [5], [5, 5], [], [], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 5], [5, 5], [], [5, 5], [5, 5], [], [4, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [5, 5]]
[[], [], [5, 5], [4, 5], [2, 2, 5], [5, 5], [], [5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [4, 4], [2, 2, 2, 2, 2], [], [], [5], [2, 2, 5], [5, 5], [], [5, 5]]
[[5], [4, 5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [5], [5], [5], [5]]
[[5], [2, 2, 5], [5], [5], [4, 5], [4, 4], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 4], [5], [2, 2, 5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [2, 5], [5], [4], [2, 5], [5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [2, 2, 2, 2], [2, 5]]
[[5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [2, 5], [5], [2, 5], [5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [5], [4], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [4], [], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [], [5], [4, 4], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [5], [5], [], [5], [5], [4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 4], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [2], [5], [5], [], [5], [5], [2, 4], [4], [5], [5], [5]]
[[5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [], [2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [], [2, 4]]
[[5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [4], [2, 2, 2], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [], [5], [5], [2, 4], [5]]
[[], [5], [2, 2, 2], [2, 2, 2], [5], [5], [], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [4], [5], [5], [5], [4], [5], [5], [], [5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2]]
[[4], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [5], [], [5], [4], [5], [5], [], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], []]
[[4], [5], [5], [2, 2, 2], [], [5], [], [5], [5], [], [5], [5], [5], [], [5], [5], [5], [5], [], [4], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], []]
[[5], [5], [], [4], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [], [5], [], [5], [], [5], [], [2, 2, 2], [5], [5], [5], [], [5], [4], [5], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [5]]
[[5], [2, 2], [5], [], [4], [], [], [], [5], [5], [5], [2, 2], [5], [5], [5], [2, 2], [], [5], [5], [4], [5], [2, 2], [], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2]]
-EndAllocation

Instance: [[1], [148], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,37. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 5], [], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3]]
[[], [4, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5], [5, 5, 5]]
[[], [3, 3, 3, 3, 4], [3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [4, 5, 5], [3, 3, 3, 3, 3], [3], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [5, 5], [3, 3, 3, 3, 3], [], [5, 5, 5], [5, 5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [4, 5, 5], [3, 3, 3, 3], [4, 5, 5], [5, 5], [5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 5], [3, 5, 5]]
[[], [5, 5], [5, 5], [3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 4, 4]]
[[], [4, 4, 4], [4, 4, 5], [3, 5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [], [3, 5, 5], [3, 3, 5], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [], [3, 3, 3, 3], [5, 5], [4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [3, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], []]
[[], [5], [5, 5], [5, 5], [], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 5], [4], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [4, 4]]
[[], [3], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4], [5, 5], [3, 3, 3], [5, 5], [], [3, 3, 3], [], [5, 5], [4, 4]]
[[], [], [5, 5], [], [4, 4], [3, 5], [5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [4], [3, 3, 3], [3, 3, 3], [5, 5]]
[[5], [3, 5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [4, 5], [3, 5], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 3, 3]]
[[5], [5], [3, 3, 3], [5], [5], [5], [4, 5], [5], [4, 4], [5], [5], [5], [3, 5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [3, 3, 3]]
[[5], [3, 3, 3], [], [4, 4], [4, 4], [5], [5], [5], [3, 3], [3, 5], [3, 5], [5], [5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [4, 5]]
[[5], [5], [5], [3, 3], [5], [3, 5], [5], [3, 3], [3, 5], [3, 3], [5], [3, 4], [4, 4], [3, 3], [5], [5], [4, 4], [3, 3], [3, 3], [3, 5], [5], [5], [5], [5], [5]]
[[5], [], [5], [3, 5], [3, 3], [3, 5], [5], [3, 5], [5], [3, 3], [4, 4], [3, 3], [5], [4, 4], [5], [5], [3, 5], [4], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5]]
[[5], [5], [3, 5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4], [3, 3], [4, 4], [3, 3], [5], [3, 5], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3], [5], [4, 4], [5], [], [3, 3], [], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [3, 5], [5], [3, 4]]
[[], [3, 3], [3, 3], [3, 5], [], [3, 5], [3, 3], [3, 3], [], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [4, 4], [5], [5], [4], [4, 4]]
[[5], [4], [3, 3], [3, 3], [5], [5], [5], [5], [4], [5], [5], [5], [3, 3], [], [3, 3], [5], [3, 3], [4], [3, 3], [4], [3, 3], [3, 3], [5], [5], [5], [4], [5], [5], [5], [5]]
[[5], [3, 3], [], [5], [5], [5], [4], [3, 3], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [5], [4], [5], [4], [4], [3, 3], [5], [5], [5], [5], [5], [4], [5], [3, 3]]
[[5], [5], [4], [5], [], [3, 3], [5], [4], [3, 3], [5], [5], [5], [5], [5], [3, 3], [], [4], [5], [3, 3], [4], [3, 3], [5], [], [5], [5], [4], [5], [5], [3, 3], [3, 3], [5], [3, 3]]
[[5], [5], [3, 3], [3, 3], [3, 3], [], [5], [3, 3], [5], [4], [3, 3], [], [4], [5], [5], [5], [5], [], [4], [5], [5], [5], [3, 3], [5], [5], [5], [4], [5], [5], [], [3, 3], [4], [3, 3]]
[[4], [4], [5], [3, 3], [5], [5], [4], [3, 3], [4], [5], [5], [5], [5], [5], [], [3, 3], [5], [5], [5], [3, 3], [], [3, 3], [3, 3], [3, 3], [], [4], [5], [5], [], [5], [5], [3, 3], [5], []]
[[], [4], [4], [5], [4], [5], [], [5], [3, 3], [5], [5], [5], [], [], [4], [], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [], [5], [5], [4], [5]]
[[5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [4], [4], [], [], [3, 3], [5], [], [5], [4], [3, 3], [5], [], [5], [3, 3], [5], [5], [3, 3], [], [4], [4], [], [3, 3], [], [5]]
[[4], [4], [5], [5], [3], [5], [4], [5], [5], [5], [3], [5], [5], [5], [5], [3], [4], [5], [3], [5], [3], [5], [3], [3], [3], [3], [3], [5], [3], [3], [3], [3], [4], [3], [5], [3], [5]]
-EndAllocation

Instance: [[1], [147], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,37. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 4, 4, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5, 5]]
[[], [4], [3, 3, 3, 3, 3, 3, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3, 3, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5], [4, 4, 4, 4], [5, 5, 5]]
[[], [4], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 4], [5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 5], [4, 4, 4, 4]]
[[], [4, 4, 4], [3, 5, 5], [4, 4, 4], [4, 5, 5], [4, 5, 5], [5, 5], [4, 5, 5], [3, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [3, 5], [4, 4, 4], [4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 5], [3, 3, 3, 3], [5, 5], [4], [], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [4, 4, 4], [], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 4], [3, 3, 3, 3], [5], [5, 5], [3, 3, 3, 3], []]
[[], [5, 5], [5, 5], [], [5], [5, 5], [4, 4, 4], [4], [5, 5], [5, 5], [3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [], [3, 3, 3, 3], [5, 5]]
[[], [3, 5], [3, 3, 3], [3, 3, 3], [3], [4, 4], [3, 3, 3], [4, 4], [5, 5], [4, 4], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5]]
[[], [4, 4], [4, 4], [5, 5], [], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [], [3, 3, 3], [5, 5], [4, 4], [3], [3, 3, 3], [3, 3, 3]]
[[], [5], [5], [3, 5], [5], [3, 3, 3], [5], [5], [3, 5], [3, 5], [4, 4], [4, 5], [3, 3], [3, 3, 3], [3, 3, 3], [4, 5], [4, 4], [4, 4], [4, 5], [4, 5], [5]]
[[5], [3, 3, 3], [4, 4], [5], [4, 4], [4, 5], [3, 3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [4, 5], [4, 4]]
[[], [4, 4], [4, 4], [3, 3, 3], [5], [5], [3, 3, 3], [5], [], [4, 5], [4, 4], [4, 5], [5], [5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3], [5], [3, 5], [4, 4], [5]]
[[5], [5], [3, 3, 3], [5], [5], [5], [], [5], [5], [4, 4], [4, 4], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [5], [3, 3]]
[[5], [5], [4, 4], [5], [5], [5], [3, 3], [5], [4, 4], [5], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [4, 4], [3, 3], [4, 4], [3, 5], [], [3, 3], [5], [5], [3, 3]]
[[5], [5], [3, 5], [5], [4, 4], [3, 3], [4, 4], [5], [5], [3, 5], [5], [], [3, 3], [5], [], [4, 4], [4, 4], [3, 3], [3, 3], [3, 3], [5], [4, 4], [5], [5], [3, 3], [5]]
[[5], [3, 3], [5], [], [5], [3, 3], [3, 5], [3, 5], [4, 4], [5], [], [5], [5], [5], [3, 5], [3, 5], [], [4, 4], [4, 4], [5], [3, 3], [], [4, 4], [4, 4], [5], [3, 3], [3, 3]]
[[5], [3, 3], [3, 3], [], [3, 3], [], [], [4, 4], [5], [5], [5], [], [4, 4], [4, 4], [4, 4], [5], [3, 5], [3, 3], [3, 5], [5], [5], [3, 3], [5], [4, 4], [3, 3], [5], [5], [5]]
[[5], [5], [3, 3], [5], [5], [4, 4], [4, 4], [5], [5], [], [3, 5], [], [5], [], [5], [5], [], [3, 3], [3, 3], [3, 5], [4, 4], [3, 3], [5], [], [5], [3, 3], [4, 4], [4, 4], [3, 3]]
[[4], [4], [5], [4], [4], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [4], [5], [4], [5], [4], [4], [4], [3, 3], [5], [5], [3, 3], [3, 3], [5]]
[[], [3, 3], [5], [3, 3], [4], [3, 3], [4], [3, 3], [3, 3], [4], [5], [5], [5], [4], [5], [4], [3, 3], [4], [3, 3], [5], [4], [5], [5], [5], [5], [4], [5], [4], [5], [5], [4]]
[[5], [3, 3], [4], [], [5], [5], [4], [5], [3, 3], [5], [4], [3, 3], [], [4], [4], [3, 3], [5], [5], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4], [4], [5], [5], [4], [5], [4]]
[[5], [4], [5], [5], [5], [4], [4], [4], [3, 3], [3, 3], [4], [3, 3], [4], [5], [3, 3], [5], [5], [5], [], [3, 3], [], [4], [5], [5], [4], [5], [5], [3, 3], [5], [3, 3], [], [4], [4]]
[[4], [3, 3], [5], [4], [5], [4], [3, 3], [], [3, 3], [4], [5], [5], [5], [5], [3, 3], [], [4], [5], [5], [3, 3], [5], [5], [4], [4], [5], [4], [4], [], [3, 3], [], [4], [5], [5], [3, 3]]
[[], [5], [3, 3], [4], [3, 3], [5], [4], [3, 3], [5], [4], [4], [4], [5], [], [5], [5], [5], [4], [4], [3, 3], [5], [3, 3], [5], [4], [4], [], [3, 3], [3, 3], [5], [5], [], [4], [], [5], [5]]
[[5], [4], [5], [5], [], [4], [4], [], [4], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [], [5], [3, 3], [4], [3, 3], [5], [5], [], [5], [], [], [3, 3], [4], [5], [5], [3, 3], [4], [4], [4], [5]]
[[5], [5], [4], [3], [5], [5], [3], [3], [5], [5], [3], [4], [3], [4], [3], [5], [5], [5], [4], [4], [5], [5], [3], [3], [4], [4], [4], [5], [4], [3], [3], [5], [3], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [146], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,37. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 5, 5, 5, 5]]
[[], [2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3], [5, 5, 5, 5]]
[[], [4, 4, 4, 4], [], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [2, 3, 5, 5, 5]]
[[], [5, 5, 5], [3, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [], [2, 2, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [2, 5, 5, 5], [3, 5], [5, 5, 5]]
[[], [2, 2, 2], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [3, 5, 5], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [4, 5, 5], [5, 5]]
[[], [5, 5], [2, 5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5], [5, 5], [2, 2, 2, 2, 4], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], []]
[[], [4, 4, 4], [5, 5], [5], [5, 5], [5, 5], [4], [5, 5], [5, 5], [2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2], [5, 5], [2, 5, 5], [5, 5], [5, 5], [], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [4, 5], [3], [], [5, 5], [5, 5]]
[[], [5, 5], [3], [2, 2, 2, 2, 2], [5, 5], [4, 4], [], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 5], [5, 5], [], [5, 5], [5, 5], [5, 5]]
[[], [2, 4, 4], [4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [3], [], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [5]]
[[5], [2, 5], [5], [4, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [4, 5], [3, 5], [5], [4, 5], [5], [5], [5], [5]]
[[5], [5], [4, 5], [2, 5], [4, 5], [2, 2, 5], [2, 2, 2, 2], [5], [4, 5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5]]
[[5], [2, 2, 5], [4, 5], [3, 5], [5], [5], [5], [5], [5], [4, 5], [2, 2, 2, 2], [4, 5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 5], [4, 5]]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [5], [4, 4], [3, 5], [5], [5], [2, 2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [5], [2, 5], [5]]
[[5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 5], [4, 4], [5], [5], [2, 5], [5], [3, 4], [5], [2, 4], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [], [5], [4, 4], [5], [5], [5], [4, 4], [5], [5], [5], [3, 5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], [], [2, 2, 2], [], [5], [5], [5], [3, 5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [], [4, 4], [5], [5], [], [5], [5], [5], [5], [5], [5], [], [5], [3, 5], [5], [4, 4], [2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [4], [5], [5], [3], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [4], [4], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [5], [5]]
[[], [5], [5], [5], [4], [3], [4], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 2, 2], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4]]
[[5], [], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [2, 2], [5], [4], [5], [5], [5], [5], [], [3], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [4]]
[[5], [2, 2, 2], [5], [5], [5], [4], [2, 2], [4], [], [2, 2, 2], [], [3], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [4]]
[[5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [3], [4], [5], [5], [2], [5], [], [5], [5], [5], [2, 2, 2], [], [5], [5], [4], [4], [5], [2, 4], [5], [], [5], [5], [5], [5], [5], []]
[[5], [5], [2, 3], [4], [], [5], [4], [2, 2, 2], [5], [], [2], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [], [4], [5], [5], [5]]
[[5], [], [5], [5], [], [4], [4], [2, 2], [], [5], [5], [5], [5], [], [], [5], [2, 2, 2], [5], [3], [5], [5], [5], [5], [], [5], [2, 2, 2], [5], [5], [4], [5], [2, 2, 2], [5], [4], [5], [5], [5]]
[[5], [5], [], [5], [5], [5], [], [], [5], [5], [2, 2], [5], [2, 2], [4], [], [5], [5], [2, 2], [5], [2], [5], [5], [], [2, 2], [4], [5], [4], [5], [4], [5], [3], [2, 2], [5], [5], [5], [5], [5]]
-EndAllocation

Instance: [[1], [145], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,37. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,37:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 5, 5], [5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5], [2, 2, 2, 5, 5], [2, 2, 3, 3, 5, 5, 5], [2, 2, 2, 2, 2, 2, 4, 4, 4]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [4, 4, 4, 5, 5], [5], [3, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [2, 3, 3, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5], [5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 3, 3, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 5, 5], [5], [5, 5, 5], [5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [], [3, 3, 5, 5], [2, 2, 2, 5], [5, 5, 5]]
[[], [2, 2, 5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 5], [5, 5]]
[[], [2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 5]]
[[], [5, 5], [5, 5], [3, 3, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 4, 4], [], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3], [5, 5], [5, 5], [5, 5], [], [5, 5], [2, 2, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [3, 3, 5]]
[[], [4, 4], [5, 5], [3, 3], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 4], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [], [2, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 5], [5, 5], [5, 5], [], [3, 3]]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [5], [5], [4, 5], [5], [3, 5], [4, 5], [5], [5], [2, 2, 5], [5], [3, 5], [2, 5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [3, 5], [4, 4], [3, 5], [2, 2, 5], [5], [5], [5], [5], [5], [2, 5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [3, 5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [2, 2, 5], [2, 5], [5], [3, 5], [5]]
[[5], [5], [5], [5], [5], [5], [2, 2, 5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 5], [4, 5], [5], [5], [2, 3, 3], [2, 2, 5], [5], [5], [5]]
[[5], [3, 5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [2, 5], [5], [4], [5], [4, 4], [5], [5], [5], [5], [5], [3, 5], [2, 5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2, 4], [5], [5], [3, 3], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4], [5], [5], [5], [3, 3], [5], [5], [4, 4]]
[[5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [], [5], [5], [5], [5], [2, 2], [2, 2, 2, 2], [5], [5], [3, 3], [5], [5], [4], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [3, 3], [4], [5], [5], [5], [5], [2, 2], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [5], [5], [5], [4]]
[[4], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [2, 2, 2], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2], [2, 2, 2], [5], [5], [], [3, 3], [5], [5], [5]]
[[5], [5], [5], [3, 3], [5], [2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [4], [], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 4]]
[[5], [5], [5], [5], [5], [3, 3], [5], [4], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5], [5], [4], [], [5], [5], [5], [], [5], []]
[[5], [2, 4], [3, 3], [4], [], [2], [5], [], [5], [5], [], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [], [5]]
[[5], [5], [2, 2, 2], [5], [], [], [4], [5], [5], [5], [5], [5], [4], [2, 4], [5], [5], [5], [], [5], [5], [2, 2, 2], [3, 3], [5], [5], [], [2], [5], [5], [5], [5], [5], [2, 2, 2], [], [5]]
[[5], [5], [5], [5], [5], [2, 2], [5], [], [5], [5], [], [5], [5], [2, 2, 2], [5], [4], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [], [5], [], [2, 2, 2], [5], [], [5], [4], [3, 3], [5]]
[[], [5], [2, 2, 2], [5], [], [5], [3, 3], [5], [5], [5], [5], [5], [4], [5], [5], [], [2, 2], [5], [4], [], [5], [5], [5], [2, 2, 2], [5], [], [5], [], [], [2, 2, 2], [5], [5], [4], [5], [5], [5]]
[[5], [], [5], [5], [5], [2, 2], [5], [5], [2, 2], [], [5], [5], [5], [4], [5], [5], [4], [5], [5], [5], [2, 2], [2, 2], [], [5], [5], [4], [3], [2, 2], [], [], [5], [5], [5], [5], [5], [2, 3], []]
-EndAllocation

Instance: [[1], [152], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,38. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5]]
[[], [], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 5, 5, 5], [5], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3, 3], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [], [], [5, 5, 5], [3, 3, 3, 3, 3]]
[[5], [5, 5], [5, 5], [3, 3, 3, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5]]
[[], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5], [4, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [4, 4, 4], [4, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], []]
[[], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5], [], [5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5], [5, 5], [5, 5], [3, 3, 3, 3], [], [4, 4, 4], [4, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 5], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [3, 3], [3, 3, 3], [5, 5]]
[[], [], [5, 5], [4, 4], [5, 5], [3, 3, 3], [3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [5, 5], [5]]
[[], [3, 3, 3], [5, 5], [3, 3], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [], [5], [3, 3, 3], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5]]
[[5], [5], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3], [4, 4], [3, 5], [3, 3, 3], [5], [5], [5], [3, 5], [3, 5], [3, 5], [5]]
[[5], [5], [5], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [4, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [3, 5], [3, 5], [5]]
[[5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [5], [5], [4, 5], [5], [3, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 5], [5], [5], [3, 3], [3, 5], [5]]
[[5], [3, 3, 3], [5], [5], [5], [5], [5], [], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [3, 5], [4, 4], [3, 5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3]]
[[5], [5], [3, 3], [3, 3], [3, 3], [5], [], [3, 5], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 5], [5], [4, 4], [3, 3], [5], [3, 5], [3, 5], [3, 5]]
[[5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [3, 5], [5], [3, 3]]
[[5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [], [3, 3], [5], [5], [5], [4, 4], [5], [5], [3, 3], [5], [5], [5]]
[[5], [3, 3], [3, 3], [5], [3, 5], [3, 5], [3, 5], [5], [5], [], [5], [5], [5], [4, 4], [3, 5], [5], [5], [4, 4], [], [3, 3], [5], [3, 5], [3, 3], [5], [3, 3], [], [3, 3], [5], []]
[[5], [3, 3], [], [3, 5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [], [3, 3], [], [3, 3], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5]]
[[4], [3], [4], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [], [3, 3], [5]]
[[5], [3, 3], [5], [3, 3], [4], [5], [], [5], [5], [5], [5], [], [3, 3], [4], [5], [3, 3], [4], [3, 3], [3], [3, 3], [4], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [3], [5], [5], [4], [5], [], [3, 3], [5], [3, 3], [5], [3, 3], [4], [5], [5], [5], [4], [5], [5], [], [5], [3, 3], [4], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [3, 3]]
[[4], [5], [5], [5], [5], [5], [3, 3], [5], [], [], [3, 3], [5], [], [4], [5], [3, 3], [5], [5], [5], [5], [], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3], [3, 3], [4], [3, 3], [5], [4]]
[[], [], [5], [5], [5], [5], [5], [4], [5], [5], [], [3, 3], [3, 3], [4], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [], [3], [5], [4], [3, 3], [], [4], [5]]
[[], [5], [5], [], [5], [3, 3], [3], [4], [5], [5], [3, 3], [3, 3], [5], [], [5], [], [5], [], [5], [5], [4], [4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [5], [3, 3], [], [5], [3, 3]]
[[5], [3, 3], [], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [], [], [3], [5], [3, 3], [5], [3, 3], [5], [], [4], [5], [5], [4], [5], [], [5], [3, 3], [5], [5], [5], [], [4], [5], [], [4], [3, 3]]
[[3], [5], [5], [5], [3], [3], [3], [3], [3], [5], [4], [5], [5], [5], [5], [3], [5], [3], [5], [5], [3], [3], [4], [3], [4], [3], [3], [3], [3], [3], [5], [4], [5], [5], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [151], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,38. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5]]
[[], [5], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 5, 5]]
[[], [5, 5, 5], [4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 5, 5, 5], [5], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3, 4], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [3, 3, 3, 3, 4], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [], [], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [5, 5], [5, 5], [3, 3, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5]]
[[], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5], [4, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 3, 3], [5, 5], [5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [4, 4, 4], [4, 4, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], []]
[[], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5], [], [5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5], [5, 5], [5, 5], [3, 3, 3, 3], [], [4, 4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 5], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [3, 3], [3, 3, 3], [5, 5]]
[[], [], [5, 5], [4, 4], [5, 5], [3, 3, 3], [3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [5, 5], [4]]
[[], [3, 3, 3], [5, 5], [3, 3], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [], [4], [3, 3, 3], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5]]
[[5], [5], [3, 5], [3, 5], [5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [3, 5], [3, 3, 3], [4, 4], [3, 4], [3, 3, 3], [5], [5], [5], [3, 5], [3, 5], [3, 5], [5]]
[[5], [5], [5], [3, 3, 3], [5], [5], [4, 4], [5], [4, 5], [5], [3, 3, 3], [4, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [3, 3], [5], [5]]
[[5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [5], [5], [4, 5], [5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 5], [], [5], [3, 3, 3], [3, 5], [5]]
[[5], [3, 3, 3], [5], [5], [5], [5], [5], [], [], [3, 3, 3], [5], [4, 5], [5], [4, 4], [5], [3, 5], [4, 4], [3, 5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3]]
[[5], [5], [3, 3], [3, 3], [3, 4], [5], [], [3, 5], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 5], [5], [4, 4], [3, 3], [5], [3, 5], [3, 5], [3, 3]]
[[5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [4], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [3, 5], [5], [3, 3]]
[[5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [], [3, 3], [5], [5], [5], [4, 4], [4], [5], [3, 3], [5], [5], [5]]
[[5], [3, 3], [3, 3], [5], [3, 5], [3, 5], [3, 5], [5], [5], [], [5], [], [5], [4, 4], [3, 5], [5], [5], [4, 4], [], [3, 3], [5], [3, 5], [3, 3], [5], [3, 3], [], [3, 3], [5], [4]]
[[5], [3, 3], [], [3, 5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [], [3, 3], [], [3, 3], [4, 4], [4], [5], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5]]
[[4], [3], [4], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [5], [3, 3], [5], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [], [3, 3], [5]]
[[5], [3, 3], [5], [3, 3], [4], [5], [], [5], [5], [5], [5], [], [3, 3], [4], [5], [3, 3], [4], [3, 3], [3], [3, 3], [4], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4], [5], [5]]
[[4], [3], [5], [5], [4], [5], [], [3, 3], [5], [3, 3], [5], [3, 3], [4], [5], [5], [5], [4], [5], [5], [], [5], [3, 3], [4], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [3, 3]]
[[4], [5], [5], [5], [5], [5], [3, 3], [5], [], [], [3, 3], [5], [], [4], [5], [3, 3], [5], [5], [5], [4], [], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3], [3, 3], [4], [3, 3], [5], [4]]
[[], [], [5], [5], [5], [5], [5], [4], [5], [5], [], [3, 3], [3, 3], [4], [5], [4], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [], [3], [5], [4], [3, 3], [], [4], [5]]
[[], [5], [5], [], [5], [3, 3], [3], [4], [5], [5], [3, 3], [3, 3], [5], [], [5], [], [5], [], [5], [5], [4], [4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [3, 3], [], [5], [3, 3]]
[[5], [3, 3], [], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4], [], [], [3], [5], [3, 3], [5], [3, 3], [5], [], [4], [5], [5], [4], [5], [], [5], [3, 3], [5], [5], [5], [], [4], [5], [], [4], [3, 3]]
[[3], [5], [5], [5], [3], [3], [3], [3], [3], [5], [4], [5], [5], [5], [5], [3], [4], [3], [5], [5], [3], [3], [4], [3], [4], [3], [3], [3], [3], [3], [5], [4], [5], [5], [5], [3], [5], [5]]
-EndAllocation

Instance: [[1], [150], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,38. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 5, 5, 5], [5], [4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [], [3, 3, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 5, 5, 5], [3, 3], [3, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [], [], [4, 4, 4, 4], [3, 5, 5], [3, 3, 3, 3, 3]]
[[], [3, 5, 5], [3, 5, 5], [], [5, 5], [4, 4, 5], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 5, 5], [3, 5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 5, 5], [5, 5], [3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 5], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [5], [3, 5, 5], [4, 4, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3], [], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 4], [], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5]]
[[], [4, 4], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 5], [3, 3, 3], []]
[[], [3, 3, 3], [3, 5], [4, 4], [3, 3, 3], [], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [5], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [], [4, 4], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [4], [], [3, 4], [5, 5], [5, 5], [3, 3, 3]]
[[5], [3, 3, 3], [3, 5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [4, 5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [4, 4], [4, 5]]
[[5], [4, 4], [5], [3, 3, 3], [5], [5], [4], [5], [3, 3, 3], [4, 4], [5], [4, 5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [5], [3, 5], [3, 3, 3], [5], [5], [5]]
[[5], [5], [3, 3, 3], [4, 4], [5], [5], [4, 4], [3, 3, 3], [5], [5], [5], [5], [], [3, 3, 3], [5], [4, 4], [5], [3, 5], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4]]
[[], [5], [5], [3, 5], [3, 3], [4, 4], [5], [5], [5], [5], [3, 5], [4, 4], [3, 3], [5], [5], [3, 5], [3, 3], [3, 5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5]]
[[5], [3, 3], [3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [4, 4], [5], [], [4, 4], [3, 3], [3, 5], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [3, 5], [5], [5]]
[[], [3, 3], [4, 4], [4, 4], [5], [3, 3], [4, 4], [5], [5], [5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3], [3, 3], [3, 5], [5], [5], [], [5], [3, 3], [3, 3], [3, 5]]
[[5], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [4, 4], [5], [3, 3], [5], [], [5], [], [3, 3], [5], [5], [4, 4], [5], [4, 4], [3, 3], [4, 4], [3, 3]]
[[5], [3, 5], [4, 4], [], [4, 4], [5], [5], [5], [], [], [3, 3], [4, 4], [5], [3, 3], [3, 5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [4, 4], [5], [5], [3, 3], [5], [5], []]
[[5], [4], [4], [3, 3], [4], [5], [5], [4], [5], [4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [4], [5], [5], [4], [5], [3, 3], [5]]
[[4], [5], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [3, 3], [5], [3, 3], [4], [5], [4], [], [5], [5], [5], [5], [4], [4], [3, 3], [5], [4], [3, 3], [5], [3, 3]]
[[5], [3, 3], [3, 3], [4], [4], [5], [3, 3], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [4], [5], [5], [], [5], [5], [4], [3, 3], [5], [5], [5], [3, 3], [4], [], [4], [5], [4]]
[[5], [5], [5], [5], [4], [5], [3, 3], [3, 3], [4], [3, 3], [5], [3, 3], [5], [4], [], [4], [5], [5], [5], [4], [4], [5], [3, 3], [3, 3], [5], [5], [], [4], [3, 3], [3, 3], [4], [], [5]]
[[4], [4], [3, 3], [4], [5], [5], [5], [], [3, 3], [5], [5], [4], [5], [5], [5], [], [5], [3, 3], [3, 3], [5], [], [5], [3, 3], [4], [5], [4], [5], [3, 3], [3, 3], [3, 3], [4], [5], [4], []]
[[5], [3, 3], [5], [5], [3, 3], [5], [], [5], [], [3, 3], [5], [5], [5], [5], [3, 3], [4], [5], [], [5], [5], [3, 3], [4], [5], [5], [3, 3], [4], [4], [], [], [4], [3, 3], [4], [3, 3], [4], [4]]
[[5], [3, 3], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [4], [5], [5], [5], [4], [5], [5], [], [4], [], [5], [], [], [5], [4], [], [5], [4], [3, 3], [4], [3, 3], [3, 3], [3, 3], [], [4], [3, 3]]
[[], [3, 3], [], [3, 3], [5], [5], [], [5], [3, 3], [3, 3], [4], [3, 3], [3, 3], [4], [5], [4], [5], [5], [3, 3], [5], [3, 3], [4], [5], [5], [4], [], [5], [4], [4], [], [4], [], [5], [5], [5], [5], []]
[[3], [3], [3], [5], [4], [3], [3], [5], [5], [3], [5], [3], [3], [4], [3], [3], [5], [5], [3], [4], [3], [5], [5], [3], [5], [3], [4], [4], [5], [4], [5], [4], [4], [5], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [149], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,38. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 5], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [4, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 5, 5, 5], [5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [], [3, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [4, 4, 4, 4], [4, 5, 5], [3, 5, 5, 5], [3, 3], [3, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [4], [3, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [4], [], [4, 4, 4, 4], [3, 5], [3, 3, 3, 3, 3]]
[[], [3, 5, 5], [3, 5, 5], [], [5, 5], [4, 4, 4], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 5]]
[[], [3, 5, 5], [3, 5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 5, 5], [5, 5], [3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [5], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3], [], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 4, 4], [], [5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5]]
[[], [4, 4], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5], [4, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 5], [3, 3, 3], []]
[[], [3, 3, 3], [3, 5], [4, 4], [3, 3, 3], [4], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [], [4, 4], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [], [3, 4], [5, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [3, 5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [4, 5], [5], [4, 4], [5], [4, 5], [3, 3, 3], [5], [5], [], [4, 4], [5], [4, 4], [4, 5]]
[[5], [4, 4], [5], [3, 3, 3], [5], [5], [4, 4], [5], [3, 3, 3], [4, 4], [5], [4, 5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [5], [3, 5], [3, 3, 3], [5], [], [5]]
[[5], [], [3, 3, 3], [4, 4], [5], [5], [4, 4], [3, 3, 3], [5], [5], [5], [5], [], [3, 3, 3], [5], [4, 4], [5], [3, 5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4]]
[[], [5], [5], [3, 5], [3, 3], [4, 4], [5], [5], [5], [4], [3, 5], [4, 4], [3, 3], [5], [5], [3, 5], [3, 3], [3, 5], [4, 4], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5]]
[[5], [3, 3], [3, 3], [3, 3], [4, 4], [4], [5], [5], [5], [5], [5], [4, 4], [5], [], [4, 4], [3, 3], [3, 5], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [3, 5], [5], [5]]
[[], [3, 3], [4, 4], [4, 4], [5], [3, 3], [4, 4], [5], [5], [4], [3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3], [3, 3], [3, 5], [5], [5], [], [5], [3, 3], [3, 3], [3, 5]]
[[5], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [4, 4], [5], [3, 3], [4], [], [5], [], [3, 3], [5], [5], [4, 4], [5], [4, 4], [3, 3], [4, 4], [3, 3]]
[[], [3, 5], [4, 4], [], [4, 4], [5], [5], [5], [], [], [3, 3], [4, 4], [5], [3, 3], [3, 5], [5], [3, 3], [3, 4], [5], [3, 3], [3, 3], [5], [4, 4], [5], [3, 5], [3, 3], [5], [5], []]
[[5], [4], [4], [3, 3], [4], [5], [5], [4], [5], [4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [4], [3, 3], [5], [4], [5], [4], [5]]
[[4], [5], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [3, 3], [5], [3, 3], [4], [5], [4], [], [4], [5], [5], [5], [4], [4], [3, 3], [5], [4], [3, 3], [5], [3, 3]]
[[5], [3, 3], [3, 3], [4], [4], [5], [3, 3], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [4], [5], [5], [], [5], [5], [4], [3, 3], [5], [5], [5], [3, 3], [4], [], [4], [4], [4]]
[[5], [5], [], [5], [4], [5], [3, 3], [3, 3], [4], [3, 3], [5], [3, 3], [5], [4], [], [4], [5], [5], [5], [4], [4], [5], [3, 3], [3, 3], [5], [5], [4], [4], [3, 3], [3, 3], [4], [], [5]]
[[4], [4], [3, 3], [4], [5], [5], [5], [], [3, 3], [5], [5], [4], [5], [5], [5], [], [5], [3, 3], [3, 3], [5], [4], [5], [3, 3], [4], [5], [4], [5], [3, 3], [3, 3], [3, 3], [4], [], [4], []]
[[5], [3, 3], [5], [5], [3, 3], [5], [], [], [3, 3], [3, 3], [5], [5], [5], [5], [4], [4], [5], [], [5], [5], [3, 3], [4], [5], [5], [3, 3], [4], [4], [], [], [4], [3, 3], [4], [3, 3], [4], [4]]
[[5], [3, 3], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [4], [5], [5], [5], [4], [5], [5], [], [4], [], [5], [], [], [4], [4], [], [5], [4], [3, 3], [4], [3, 3], [3, 3], [3, 3], [], [4], [3, 3]]
[[], [3, 3], [], [3, 3], [5], [5], [4], [5], [3, 3], [3, 3], [4], [3, 3], [3, 3], [4], [5], [4], [5], [5], [3, 3], [], [3, 3], [4], [5], [5], [4], [], [5], [4], [4], [], [4], [], [5], [5], [5], [5], []]
[[3], [3], [3], [5], [4], [3], [3], [5], [5], [3], [5], [3], [3], [4], [3], [3], [5], [5], [3], [4], [3], [5], [4], [3], [5], [3], [4], [4], [5], [4], [5], [4], [4], [5], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [156], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,39. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,39:
-StartAllocation
[[3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[5], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [4, 4, 4, 5, 5]]
[[5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 4, 4, 4, 4, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 4, 4, 4, 5], [5, 5], [5, 5, 5, 5], [4, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [], [5, 5, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 5], [5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3]]
[[], [5, 5, 5], [5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 5], [2, 5, 5, 5], [5, 5, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 3, 4, 4, 4]]
[[], [5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 5, 5], [2, 2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5], [], [2, 2, 2, 3, 5], [5, 5, 5], [5, 5, 5], []]
[[5], [4, 5, 5], [2, 2, 2, 2, 3], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5]]
[[5], [3, 5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [2, 2, 2, 2, 2], [5], [5, 5], [4, 4, 4], [5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [], [2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [4, 5], [5, 5], [5, 5], [3, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [3, 4, 4], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [4, 4], [5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [3, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [2, 4, 4], [], [5, 5], [5, 5], [5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2], [3, 5], [5, 5], [5, 5], [5], [5, 5], [4, 4], [4, 4], [5, 5], [5], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], []]
[[], [5, 5], [5], [], [5, 5], [5, 5], [3, 5], [], [5, 5], [2, 2, 2, 2, 2], [2, 5], [2, 2, 2, 2, 2], [], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5]]
[[5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [3, 5], [2, 5], [5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [2, 2, 5], [4, 5], [5], [2, 2, 5]]
[[5], [5], [2, 2, 5], [3, 5], [5], [4, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [4, 4], [4, 5], [5], [2, 5], [5], [5], [5], [2, 2, 5]]
[[5], [5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [5], [4, 5], [3, 5], [2, 5], [5]]
[[5], [5], [5], [2, 5], [5], [5], [2, 5], [2, 5], [5], [4, 4], [3, 5], [2, 5], [5], [2, 5], [2, 5], [2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [3, 5], [2, 5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [4, 4], [5], [5], [2, 5], [5], [5], [5], [4, 4]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [2, 2, 2], [5], [5], [5], [5]]
[[5], [4, 4], [2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [5], [], [5]]
[[], [5], [5], [5], [], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [4, 4], [3, 5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [2, 4], [5], [5], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [3], [5]]
[[5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [], [2, 3], [5], [], [5], [5], [5], [5], [5], [4], [2, 4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [4], [5]]
[[5], [3], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [], [5], [5], [5], [2, 2, 2], [5], [], [5], [4], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2], [5], [4], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [3], [5], [4], [5], [4], [], [], [5], [5], [5], [5], [2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [4], [], [5], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [3], [4], [5], [5], [5], [5], [5], [5], [4], [], [5], [5], [], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [4], [], [4], [5], [5], [2, 2], [2, 2, 2], [], [5]]
[[4], [], [4], [], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [2, 3], [4], [5], [5], [5], [5], [5], [5], [], [2], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [], [2, 2, 2]]
[[], [5], [], [], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [4], [5], [], [2, 2], [5], [], [5], [4], [5], [5], [3], [5], [5], [4], [5], [5], [4], [5], [5]]
[[], [4], [5], [3], [], [5], [5], [5], [2, 2], [5], [], [4], [2, 2], [5], [5], [5], [5], [], [2, 2], [5], [5], [5], [4], [5], [5], [5], [2], [5], [5], [5], [5], [5], [], [4], [5], [5], [2, 2], [5], [2, 2]]
-EndAllocation

Instance: [[1], [155], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,39. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5], [3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5], [5, 5, 5, 5], [3, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [], [5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5], [3], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 5], [5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5], [], [5, 5, 5]]
[[], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5]]
[[], [5, 5], [5, 5], [3, 4, 5], [3, 5, 5], [3, 5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3], [], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3]]
[[], [3, 3, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5], [5, 5], [], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5], [5, 5], [5, 5], [5, 5], [], [5, 5], [3, 3, 5], [4, 5], [5, 5], [3, 3, 3, 3], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [4, 5], [5, 5], [], [5, 5], [4, 4, 4], [3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5], [5, 5], [3, 3, 3], [], [4, 4], [3, 3, 3], [5, 5], [], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5]]
[[], [4, 4], [5, 5], [3, 3, 3], [], [5, 5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5], [5, 5], [], [3, 3, 3], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [], [3, 3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [3, 3, 3], []]
[[5], [5], [5], [3, 5], [4, 4], [5], [5], [3, 5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [3, 5], [5], [5], [3, 3, 3]]
[[5], [4, 5], [5], [5], [5], [4, 5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [], [5], [3, 5], [3, 5], [3, 5], [5], [5], [3, 3, 3], [5], [4, 4]]
[[5], [5], [4, 4], [5], [3, 3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [5], [5]]
[[5], [3, 5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [3, 5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [3, 5], [3, 5]]
[[5], [5], [5], [5], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5], [5], [3, 3], [], [4, 4], [5], [5], [3, 3], [5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [3, 3]]
[[], [3, 3], [3, 3], [4, 4], [5], [5], [3, 5], [3, 3], [3, 5], [5], [5], [5], [4, 4], [5], [5], [3, 5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3, 5], [], [5], [5], [3, 3]]
[[5], [5], [4, 4], [5], [], [3, 5], [5], [5], [3, 3], [3, 5], [5], [3, 3], [5], [], [5], [4, 4], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5]]
[[5], [], [5], [5], [5], [3, 3], [3, 5], [5], [5], [3, 3], [5], [5], [], [5], [3, 5], [3, 3], [5], [3, 3], [3, 3], [5], [4, 4], [3, 3], [5], [5], [4, 4], [5], [5], [], [3, 3], [3, 3]]
[[5], [3, 3], [5], [5], [4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [4], [5], [5], [3, 3], [5], [5], [5], [4], [3, 3], [3, 3], [], [5], [3, 3], [3, 3], [5], [4], [5]]
[[5], [], [5], [], [5], [4], [5], [5], [3, 3], [5], [3, 3], [5], [4], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [3, 3], [3, 3], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5]]
[[5], [4], [5], [3, 3], [5], [5], [5], [5], [], [3, 3], [], [4], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [4], [5], [5], [3, 3], [3, 3], [5], [], [5], [5], [3, 3]]
[[5], [5], [5], [5], [5], [3, 3], [5], [5], [4], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [4], [], [3, 3], [], [5], [], [4], [3, 3], [3, 3], [5], [], [4], [5]]
[[5], [5], [3, 3], [5], [4], [5], [], [5], [3, 3], [5], [5], [3, 3], [], [5], [], [5], [5], [4], [], [5], [4], [4], [3, 3], [5], [5], [], [3, 3], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5]]
[[5], [4], [5], [4], [5], [], [5], [], [5], [3, 3], [4], [], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [4], [5], [], [5], [3, 3], [3, 3], [], [5], [3, 3], [], [5], [3, 3], [3, 3], [5], [5], [3, 3]]
[[5], [4], [5], [], [5], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [4], [5], [5], [3, 3], [5], [5], [], [3, 3], [5], [], [], [5], [3, 3], [5], [], [5], [5], [], [5], [4], [5], [], [4], [3, 3]]
[[5], [3, 3], [], [5], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [], [4], [4], [5], [4], [3, 3], [3, 3], [], [], [5], [5], [5], [4], [5], [3, 3], [], [5], [5], [5], [5], [3, 3], [3, 3], [], [5], [], [], [5]]
[[3], [3], [5], [5], [3], [5], [3], [5], [5], [5], [5], [5], [5], [4], [3], [3], [3], [5], [3], [5], [3], [3], [3], [3], [5], [3], [3], [3], [3], [4], [3], [5], [3], [4], [5], [5], [4], [5], [5]]
-EndAllocation

Instance: [[1], [154], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,39. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5], [4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5], [3, 3, 3, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4], [3, 3, 3, 3, 3], [], [3, 3, 3, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[5], [3, 3, 3, 3], [4, 5, 5], [4, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 4, 4], [5, 5], [3, 3], [5, 5], [3, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 4, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 3, 5]]
[[], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [], [5, 5], [3, 3, 3, 3], [5], [3, 5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [], [3], [3, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [], [3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4], [3, 3, 3, 3], [5, 5], [], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [], [4, 4], [5, 5], [4, 5], [], [5, 5], [5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5]]
[[], [], [3, 3, 3], [], [3, 3, 3], [3, 3, 3], [4, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5, 5], [5, 5], [4, 4], [3, 3, 3]]
[[5], [5], [3, 5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [3, 5], [3, 5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [4, 4], [4, 5], [3, 5], [3, 5]]
[[5], [5], [4, 5], [4, 5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3]]
[[5], [3, 3, 3], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3, 3], [4, 5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [4, 4]]
[[5], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [4, 5], [5], []]
[[5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4, 4], [3, 3], [3, 5], [5], [3, 4], [5], [3, 5], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 3]]
[[5], [3, 3], [3, 4], [5], [5], [4, 4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 5]]
[[5], [5], [5], [5], [3, 5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 5], [3, 3], [5], [5], [3, 3], [4, 4], [4, 4], [5], [5], [4], [3, 3], [5], [5], [], [3, 3], [5], [3, 3]]
[[5], [3, 3], [5], [5], [4], [5], [5], [4, 4], [3, 5], [], [3, 3], [5], [5], [3, 5], [5], [5], [3, 3], [5], [5], [], [4, 4], [], [3, 3], [5], [3, 3], [3, 3], [3, 5], [3, 3], [3, 5]]
[[5], [5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [], [5], [3, 3], [3, 5], [5], [5], [5], [5], [3, 3], [4], [], [], [3, 3], [3, 3], [3, 5], [5], [5], [4, 4], [3, 3], [5], [5], [5]]
[[5], [4], [5], [3, 3], [4], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [5], [4], [5], [4], [5], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [4], [5], [], [5], [5], [5], [3, 3], [5]]
[[5], [5], [3, 3], [5], [5], [4], [5], [3, 3], [5], [4], [5], [5], [5], [3, 3], [5], [3, 3], [5], [4], [5], [5], [4], [4], [5], [3, 3], [], [3, 3], [], [5], [5], [3, 3], [3, 3], [3, 3]]
[[], [5], [3, 3], [], [3, 3], [3, 3], [3, 3], [5], [4], [3, 3], [3, 3], [5], [4], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [4], [], [4], [5], [5], [5], [5], [4], [5], [5], [3, 3], [5]]
[[5], [5], [5], [5], [3, 3], [4], [3, 3], [5], [5], [4], [5], [3, 3], [5], [], [5], [3, 3], [3, 3], [5], [5], [4], [4], [], [3, 3], [], [3, 3], [5], [5], [5], [5], [5], [], [4], [3, 3], [3, 3]]
[[4], [5], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [], [], [4], [3, 3], [5], [3, 3], [4], [3, 3], [4], [5], [3, 3], [], [5], [3, 3], [], [], [5], [5], [5], [4], [3, 3], [5], [5]]
[[5], [3, 3], [5], [], [], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [], [5], [4], [], [5], [], [3, 3], [], [5], [3, 3], [3, 3], [4]]
[[5], [], [5], [5], [3, 3], [5], [4], [], [5], [4], [4], [], [4], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [4], [5], [], [], [5], [3, 3], [], [5], [5], [], [3, 3], [5], [3, 3]]
[[5], [4], [3, 3], [4], [5], [3, 3], [3, 3], [5], [5], [3, 3], [], [3, 3], [3, 3], [], [5], [4], [5], [], [], [], [5], [], [5], [], [5], [4], [3, 3], [3, 3], [], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [5], [4], [3], [5], [5], [3], [5], [3], [3], [3], [4], [4], [5], [3], [3], [5], [5], [3], [3], [3], [3], [5], [4], [3], [5], [5], [5], [5], [3], [5], [4], [5], [5], [3], [3], [3], [3], [3]]
-EndAllocation

Instance: [[1], [153], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,39. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4]]
[[], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5], [3, 3, 3, 3, 3], [], [3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5]]
[[5], [3, 3, 3, 3], [4, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 4], [5, 5], [3, 3], [5, 5], [3, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 5], [5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3], [4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [], [3], [3, 3, 4], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [], [3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5], [3, 3, 3, 3], [4, 5], [3, 3, 3, 3], [5, 5], [], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [], [4, 4], [5, 5], [5, 5], [], [5, 5], [5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5]]
[[], [], [3, 3, 3], [], [3, 3, 3], [3, 3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3], [5, 5], [5, 5], [4, 4], [3, 3, 3]]
[[5], [5], [3, 5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [3, 5], [5], [3, 5], [3, 5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 5], [3, 5]]
[[5], [5], [5], [4, 5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [4, 4]]
[[5], [5], [3, 5], [5], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], []]
[[5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4, 4], [3, 3], [3, 5], [5], [3, 5], [5], [3, 3], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 5]]
[[5], [5], [5], [5], [3, 5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [4, 4], [5], [5], [5], [3, 3], [5], [5], [], [3, 3], [5], [3, 3]]
[[], [3, 3], [5], [5], [5], [5], [5], [4, 4], [3, 5], [], [3, 3], [5], [5], [3, 5], [5], [5], [3, 3], [5], [5], [], [4, 4], [], [3, 3], [3, 5], [3, 3], [3, 3], [3, 5], [3, 3], [3, 5]]
[[5], [5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [], [3, 3], [3, 3], [3, 5], [5], [5], [4, 4], [3, 3], [5], [5], [5]]
[[5], [4], [5], [3, 3], [4], [3, 3], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [4], [5], [3, 3], [3], [5], [5], [3, 3], [5], [3, 3], [4], [5], [], [5], [5], [5], [3, 3], [5]]
[[], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [4], [5], [5], [5], [3, 3], [5], [3, 3], [5], [4], [5], [5], [4], [4], [5], [3, 3], [3], [3, 3], [], [5], [5], [3, 3], [3, 3], [3, 3]]
[[], [5], [3, 3], [], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [5], [4], [3, 3], [5], [5], [5], [5], [5], [3], [3, 3], [4], [], [4], [5], [5], [5], [5], [4], [5], [5], [3, 3], [5]]
[[5], [5], [5], [5], [3, 3], [4], [3, 3], [5], [5], [4], [5], [3, 3], [5], [], [5], [3, 3], [3, 3], [3], [5], [4], [4], [5], [3, 3], [], [3, 3], [5], [5], [5], [5], [5], [], [], [3, 3], [3, 3]]
[[4], [5], [5], [3], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [5], [], [], [4], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [], [5], [3, 3], [], [], [5], [5], [5], [4], [3, 3], [5], [5]]
[[5], [3, 3], [5], [], [], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [3], [5], [3, 3], [3, 3], [5], [3, 3], [4], [4], [], [5], [4], [], [5], [], [3, 3], [], [5], [3, 3], [3, 3], [4]]
[[5], [], [5], [5], [3, 3], [5], [5], [], [5], [4], [4], [], [4], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3, 3], [5], [3], [3, 3], [5], [4], [5], [], [], [5], [3, 3], [], [5], [5], [], [3, 3], [5], [3, 3]]
[[5], [4], [3, 3], [], [5], [3, 3], [3, 3], [5], [5], [3, 3], [], [3, 3], [3, 3], [], [5], [4], [5], [], [], [], [5], [], [5], [3], [5], [4], [3, 3], [3, 3], [], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [5], [4], [3], [5], [5], [3], [5], [3], [3], [3], [3], [4], [5], [3], [3], [5], [5], [3], [3], [3], [3], [5], [4], [3], [5], [5], [5], [5], [3], [5], [4], [5], [5], [3], [3], [3], [3], [3]]
-EndAllocation

Instance: [[1], [160], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,40. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5], [3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [], [3, 3, 3], [], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[5], [3, 3, 3, 4], [5, 5], [5, 5], [3, 3, 3, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 4], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 4], [], []]
[[], [4, 4, 4], [3, 3], [5, 5], [3, 3, 3, 3], [4], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [4, 4, 4], [], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [], [3, 3, 3], [4, 4], [3, 3, 3], [5, 5], [5, 5], []]
[[], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], [], [3, 3, 3], [], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4]]
[[5], [3, 5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 5], [3, 5], [3, 5], [5], [3, 5], [4, 4], [4, 4], [3, 5], [5], [5], [3, 3, 3], [5], [3, 5], [3, 5], [3, 5], [5]]
[[5], [3, 5], [5], [3, 5], [5], [5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [5], [3, 5], [5], [5], [3, 5], [5], [3, 3, 3], [5], [3, 5]]
[[5], [3, 3, 3], [5], [5], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 5], [5], [5], [4, 4], [3, 5], [3, 3, 3], [3, 5], [5], [5], [5], [5], [5], [3, 3, 3], [5], [5]]
[[5], [5], [5], [5], [3, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [4, 4], [3, 5], [5], [5], [5], [5], [3, 5], [], [5], [5]]
[[5], [5], [5], [3, 5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 5], [5], [5], [4, 4], [5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [5], [3, 3], [3, 5], [3, 3], [3, 5]]
[[5], [5], [3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 5], [5], [5], [5], [3, 3], [4, 4], [5], [5], [5], [3, 3], [3, 5], [3, 3], [5], [3, 3], [5], [5]]
[[5], [3, 3], [5], [5], [], [3, 5], [3, 3], [5], [4, 4], [5], [5], [5], [3, 3], [4, 4], [3, 5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [], [5], [5], [], [3, 3], [5], [3, 3], [3, 3], [3, 5], [3, 5], [3, 3], [3, 3], [4, 4], [5], [5], [3, 5], [5], [3, 3], [3, 3], [5], [5], [5], [3, 5], [5], [5], [5], [4, 4], [], [5]]
[[5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4, 4], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [], [4, 4], [3, 3], [], [3, 3], [5], [5]]
[[5], [5], [4], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4], [5], [3, 3], [5], [3, 3], [4], [4], [5], [3, 3], [], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3]]
[[5], [3, 3], [5], [], [4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [3, 3], [4], [4], [5], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5]]
[[5], [5], [3, 3], [4], [4], [5], [5], [5], [5], [5], [3, 3], [], [5], [5], [4], [3, 3], [5], [3, 3], [5], [5], [5], [], [3, 3], [], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [4], [5], [5]]
[[], [], [5], [5], [5], [5], [3, 3], [3, 3], [5], [4], [4], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [5], [5], [3, 3], [4], [5], [3, 3], [5], [4], [5], [5], [5], [5], [5], [3, 3], [5], [5]]
[[5], [5], [5], [], [5], [3, 3], [5], [], [4], [5], [], [5], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4], [5], [4], [3, 3], [5], [4], [3, 3], [], [3, 3], [3, 3], [5], [5], [5], [5], [5], [], [3, 3]]
[[5], [5], [5], [5], [5], [5], [], [5], [3, 3], [], [3, 3], [], [], [5], [4], [], [5], [3, 3], [3, 3], [5], [5], [], [5], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [4], [4], [5], [3, 3], [4], [5]]
[[5], [], [5], [], [4], [], [5], [5], [3, 3], [5], [5], [5], [4], [5], [5], [5], [3, 3], [], [5], [3, 3], [3, 3], [4], [], [5], [5], [3, 3], [3, 3], [3, 3], [], [5], [5], [5], [3, 3], [3, 3], [], [5], [4], [5]]
[[5], [3, 3], [5], [3, 3], [5], [5], [5], [4], [5], [5], [5], [5], [], [3, 3], [], [5], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [], [], [5], [3, 3], [5], [4], [5], [4], [], [5], [3, 3], [], [], [5], [], [5], [4]]
[[5], [4], [3], [5], [4], [5], [3], [5], [4], [3], [5], [5], [3], [3], [5], [5], [3], [3], [5], [5], [5], [3], [5], [3], [5], [5], [3], [5], [3], [5], [3], [3], [3], [3], [3], [5], [3], [4], [3], [5]]
-EndAllocation

Instance: [[1], [159], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,40. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5]]
[[], [2, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5], [2, 4, 4, 4, 4, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 5, 5, 5], [5, 5, 5, 5], [3, 5, 5], [2, 3, 4, 4, 4, 4], [5, 5, 5, 5], [5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5]]
[[], [5, 5, 5, 5], [2, 4, 4, 4, 4], [3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 5], [5, 5]]
[[], [5, 5, 5], [5, 5], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5], [2, 2, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 4], [3, 3, 5, 5], [5, 5, 5], [], [2, 2, 2, 2, 2, 2, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 5, 5, 5], [2, 2, 2], [5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 5], [], [3, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], []]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [4, 5, 5], [2, 5, 5], [5, 5], [5], [3, 3, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 5], [5, 5], [5, 5]]
[[5, 5], [3, 3, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [5, 5], [4, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [2, 2, 5], [2, 2, 2, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [4, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [3, 3, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [5, 5], [5], [5, 5], [4, 4, 4]]
[[], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [5], [5, 5], [3, 3], [5, 5], [5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [5, 5], [], [], [4, 4], [5, 5], [3, 3], [2, 2, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [2, 5], [5, 5]]
[[], [5, 5], [4, 4], [5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [2], [], [], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5], [5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [3, 5], [4, 5], [4, 5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 5], [5]]
[[5], [4, 5], [3, 5], [5], [4, 5], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [3, 5], [5], [4, 5], [5]]
[[5], [5], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 5], [5], [2, 2, 5], [4, 5], [3, 3], [5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [2, 5], [5], [3, 5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [2, 2, 5], [5], [4, 5]]
[[5], [4, 4], [5], [5], [3, 5], [2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [2, 5], [2, 5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [2, 5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [3, 3], [4, 4], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [5], [2, 2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5]]
[[5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2, 2], [3, 3], [], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [], [5]]
[[5], [4], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [2, 2, 2], [5], [2, 4], [5], [5], [5], [3, 3], [2]]
[[5], [2, 2], [5], [5], [4], [5], [2, 2, 2], [4], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [5], [5], [4]]
[[5], [], [4], [5], [5], [4], [5], [5], [4], [2, 2, 2], [5], [4], [2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [], [5], [4], [2, 2], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [3, 3], [], [5], [5], [5], [5], [4], [5], [5], [], [], [2, 2, 2], [4], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2], [], [5], [4], [2, 2, 2], [5], [5], [5]]
[[5], [4], [5], [5], [5], [5], [4], [], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [], [5], [5], [], [5], [2, 2], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [4], [5]]
[[4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2], [5], [5], [3, 3], [5], [5], [], [5], [], [2, 2, 2], [5], [4], [4], [5], [5], [5], [], [], [], [2, 2, 2], [5], [2], [2, 2], [2, 4]]
[[5], [5], [], [2, 2], [], [5], [], [], [5], [4], [4], [5], [5], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [4], [5], [5], [5], [5], [5], [], [5]]
[[5], [5], [5], [4], [2], [2, 2], [5], [2, 2], [5], [5], [2, 2], [5], [3], [5], [5], [], [5], [5], [2, 2], [3], [], [5], [5], [], [4], [5], [5], [5], [5], [], [5], [2, 2], [5], [5], [5], [4], [], [4], [5], [5]]
-EndAllocation

Instance: [[1], [158], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,40. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,40:
-StartAllocation
[[3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5, 5, 5]]
[[], [2, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 3, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5], [3, 3, 3, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5]]
[[], [4, 4, 4, 5, 5], [3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5, 5], [5, 5], [5, 5, 5, 5], [3, 3, 3, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 3, 5, 5, 5], [5, 5, 5, 5], [3, 5, 5], [3, 4, 4, 4, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5, 5], [4, 4, 4, 5], [3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [2, 5], [5]]
[[], [5, 5, 5], [5], [3, 3, 3, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 5], [2, 3, 3, 3, 5], [5, 5, 5], [], [2, 2, 2, 2, 2, 2, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 5, 5, 5], [2, 2], [5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4], [2, 2, 2, 5, 5], [], [3, 3, 3, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], []]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5, 5], [5], [3, 3, 3, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[5], [3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [3, 3, 3], [5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5]]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [3, 3, 3], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [5, 5], [5], [5, 5], [4, 4, 4]]
[[], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 5], [5, 5], [4, 5], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 5], [2, 2, 2, 2, 2], [5, 5], [], [], [4, 4], [5, 5], [3, 3, 3], [2, 5], [5, 5], [5, 5], [5, 5], [5], [], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [5], [], [5, 5], [5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [2], [], [], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [3, 5], [2, 2, 5], [5], [3, 5], [4, 5], [4, 5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 5], [5]]
[[5], [4, 5], [3, 5], [5], [4, 5], [5], [2, 2, 2, 2], [2, 5], [3, 5], [5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [3, 5], [5], [5], [5]]
[[5], [5], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 5], [5], [2, 2, 5], [5], [3, 3, 3], [5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [3, 5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [3, 5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [2, 2, 5], [5], [4, 5]]
[[5], [5], [5], [5], [3, 4], [2, 5], [5], [5], [5], [5], [2, 5], [4, 4], [2, 5], [5], [2, 5], [5], [5], [5], [5], [2, 3, 3], [5], [2, 5], [2, 2, 2, 2], [2, 5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [3, 5], [2, 5], [5], [3, 3], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [4], [5], [5], [5], [5], [2, 5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [3, 3], [4, 4], [5], [4], [5], [5], [5], [3, 5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [5], [2, 2, 2, 2], [3, 3], [3, 5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5]]
[[5], [5], [4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2, 2], [3, 3], [], [5], [5], [3, 5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [], [5]]
[[5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2], [5], [5], [5], [4], [5], [2, 2, 2], [3, 3], [2, 4], [5], [5], [5], [3], [2, 2, 2]]
[[5], [2, 3], [2], [5], [4], [5], [2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [5], [5], [4]]
[[5], [], [4], [5], [5], [4], [5], [5], [4], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2], [5], [2, 3], [3, 3], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [], [2, 2, 2], [3], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [], [5], [5], [2, 2], [5]]
[[5], [5], [5], [5], [2, 2], [5], [3, 3], [], [5], [5], [5], [5], [4], [5], [5], [], [], [2, 2, 2], [5], [5], [5], [5], [4], [5], [5], [5], [], [5], [2, 2, 2], [3], [5], [4], [2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4], [], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [], [5], [5], [3], [5], [2, 2], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [], [], [5], [5], [5], [5], [4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [3, 3], [5], [5], [], [5], [], [2, 2, 2], [5], [4], [4], [5], [5], [5], [], [], [], [2, 2, 2], [3], [], [2], [2, 4]]
[[5], [5], [], [2, 2], [], [5], [], [], [5], [5], [4], [5], [5], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [4], [5], [3], [5], [5], [5], [], [5]]
[[5], [5], [5], [4], [2], [2, 2], [5], [2, 2], [5], [5], [2, 2], [5], [3], [5], [5], [], [5], [5], [2, 2], [3], [], [5], [5], [], [4], [5], [5], [5], [5], [], [5], [2, 2], [3], [5], [5], [4], [], [5], [5], [5]]
-EndAllocation

Instance: [[1], [157], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,40. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,40:
-StartAllocation
[[3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5]]
[[], [2, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[], [4, 4, 4, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5, 5], [5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 5, 5, 5], [5, 5, 5, 5], [], [3, 3, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5, 5], [4, 4, 4, 5], [3, 3], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 5, 5, 5], []]
[[], [5, 5, 5], [5], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5], [2, 2, 2, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4, 5], [3, 3, 5, 5], [5, 5, 5], [], [2, 5, 5, 5], [2, 5, 5, 5], [5, 5], [5, 5, 5], [2, 5, 5, 5], [2, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], []]
[[], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4], [2, 2, 2, 2, 5], [], [3, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], []]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 3, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 3, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 5], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], []]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 3], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [5], [5, 5], [5, 5], [4, 4, 4]]
[[], [5], [2, 2, 2, 2, 2], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 5], [5, 5], [4, 5], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3], [], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 5], [2, 2, 2, 2, 2], [5, 5], [], [], [4, 4], [5, 5], [3, 3], [2, 2, 5], [5, 5], [5, 5], [5, 5], [5], [], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5], [5, 5], [3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [2, 2], [], [], [2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [3, 5], [4, 5], [4, 5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5]]
[[5], [4, 5], [3, 5], [5], [4, 5], [5], [2, 2, 2, 2], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [3, 5], [5], [5], [5]]
[[5], [5], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [3, 3], [5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 5], [5], [3, 5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [2, 2, 5], [5], [4, 5]]
[[5], [5], [5], [5], [4, 4], [2, 5], [5], [5], [5], [5], [2, 5], [2, 4], [2, 5], [5], [2, 5], [5], [5], [5], [5], [2, 3, 3], [5], [2, 5], [2, 2, 2, 2], [2, 5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [3, 3], [2, 5], [5], [5], [5], [5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [4], [5], [5], [5], [5], [2, 5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [3, 3], [4, 4], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [5], [5], [5]]
[[5], [5], [4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [3, 3], [], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [], [5]]
[[5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2], [5], [5], [5], [4], [5], [2, 2, 2], [3, 3], [2, 2, 2], [], [5], [5], [5], [2, 4]]
[[5], [2, 2, 2], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [5], [5], [4]]
[[5], [], [4], [5], [5], [4], [5], [5], [4], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [], [5], [5], [5], [5]]
[[], [5], [5], [2, 2, 2], [5], [], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [], [5], [5], [2, 2, 2], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [3, 3], [], [5], [5], [5], [5], [4], [5], [5], [], [], [2, 2, 2], [5], [5], [5], [5], [4], [5], [5], [5], [], [5], [2, 2, 2], [], [5], [4], [2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4], [], [4], [2, 2, 2], [5], [], [5], [5], [2, 2, 2], [5], [], [5], [5], [], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [], [], [5], [5], [5], [5], [4], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [3, 3], [], [5], [], [5], [], [2, 2, 2], [5], [4], [4], [5], [5], [5], [], [], [], [2, 2, 2], [5], [], [2, 2], [2, 4]]
[[5], [5], [], [2, 2, 2], [], [5], [], [], [5], [5], [4], [5], [5], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [3, 3], [5], [], [5], [5], [5], [], [5], [5], [2, 2, 2], [4], [5], [4], [5], [5], [5], [5], [5], [], [5]]
[[5], [5], [5], [4], [2, 2], [2, 2], [5], [2, 2], [5], [5], [2, 2], [5], [3], [5], [5], [], [5], [5], [2, 2], [3], [], [5], [5], [], [4], [5], [5], [5], [5], [], [5], [2, 2], [5], [5], [5], [4], [], [5], [5], []]
-EndAllocation

Instance: [[1], [164], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,41. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]]
[[4, 4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 5]]
[[], [3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4], [], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5], [5, 5, 5, 5]]
[[], [3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [3, 3, 4, 4, 4], [3, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 5, 5], [], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3], [3, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [3, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[5], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 5, 5], [3, 3, 4], [3, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5], [5, 5], [4, 5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [3, 5, 5], [], [4, 5], [5], [3, 3, 5], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 4, 4], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5], [3, 3, 3, 3], [4, 4], [5, 5], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3], [], [5, 5], [], [4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 5], [5, 5], [3, 3, 3], [], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [4, 4], [3, 3], [5, 5]]
[[], [4, 5], [3, 3], [5, 5], [5, 5], [3, 3, 3], [5, 5], [], [], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [3, 3, 3], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [], [3, 3, 3], [3, 3], [], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3], [4, 5], [4, 4], [5, 5], [4, 4], [5, 5]]
[[5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [3, 5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [4, 4], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [5], [4, 5], [3, 5]]
[[5], [5], [5], [3, 3, 3], [5], [5], [3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [4, 5], [5], [5], [4, 5], [5], [4, 4], [5], [4, 4], [4, 5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [3, 3, 3], [3, 5], [5], [5], [4, 4], [5], [3, 4]]
[[5], [4, 4], [5], [3, 3, 3], [5], [3, 3], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [4, 5], [5], [3, 3, 3], [5], [5], [], [4, 4], [5], [3, 3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [4, 4], [3, 3], [3, 5], [3, 4], [5], [5], [4, 4], [3, 3], [5], [5], [5], [5], [5], [5]]
[[], [3, 3], [4], [3, 3], [3, 5], [3, 5], [4, 4], [], [5], [5], [5], [5], [3, 5], [3, 5], [5], [5], [4, 4], [5], [3, 3], [3, 3], [3, 5], [5], [5], [3, 5], [], [4, 4], [3, 5], [3, 3], [5]]
[[5], [5], [3, 5], [5], [5], [5], [3, 5], [4, 4], [3, 3], [], [5], [5], [3, 3], [4, 4], [5], [4, 4], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [3, 4], [5], [], [5]]
[[5], [5], [5], [4, 4], [], [5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 4], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [4, 4], [3, 3]]
[[5], [4, 4], [5], [3, 5], [5], [], [3, 3], [3, 3], [3, 5], [5], [5], [5], [5], [4], [5], [], [4, 4], [5], [5], [3, 3], [3, 3], [], [], [5], [3, 3], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [5]]
[[5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [5], [4], [3, 3], [4], [4], [4], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [3], [5], [4], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5]]
[[5], [3, 3], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4], [5], [5], [5], [5], [5], [4], [4], [4], [5], [3], [3, 3], [3, 3], [4], [5], [3, 3], [5], [5], [5], [], [5]]
[[4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [], [3, 3], [4], [5], [5], [5], [4], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [5], [5], [4], [5], [4], [3, 3], [3], [4]]
[[5], [3, 3], [3, 3], [3, 3], [], [3, 3], [5], [5], [4], [5], [], [5], [5], [3], [5], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [5], [4], [4], [4], [5], [4], [4], [5], [5], [5], [5], [4], [5]]
[[5], [], [4], [3, 3], [3], [5], [3, 3], [5], [5], [5], [], [], [3, 3], [4], [5], [5], [5], [4], [4], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [5], [4], [5], [5], [3, 3], []]
[[4], [], [], [3, 3], [4], [5], [5], [5], [5], [5], [3, 3], [], [5], [4], [3, 3], [5], [3], [5], [3, 3], [], [4], [], [5], [3, 3], [5], [3, 3], [3, 3], [4], [4], [5], [5], [5], [3, 3], [5], [5], [5], [5], [4]]
[[4], [4], [], [3, 3], [4], [5], [5], [5], [], [5], [5], [5], [4], [4], [5], [4], [5], [], [], [4], [3], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [5], [], [5], [5], [3, 3], [5], [5], [3, 3]]
[[5], [4], [], [], [5], [5], [3], [3, 3], [5], [4], [5], [3, 3], [5], [5], [], [5], [5], [3, 3], [4], [], [5], [5], [4], [4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [], [], [3, 3], [], [3, 3], [5], [5], [4], [3, 3]]
[[4], [3], [3], [4], [3], [5], [3], [5], [3], [5], [5], [5], [5], [3], [3], [3], [5], [4], [4], [4], [3], [5], [3], [5], [3], [5], [3], [4], [5], [5], [5], [3], [4], [3], [5], [5], [3], [5], [5], [3], [3]]
-EndAllocation

Instance: [[1], [163], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,41. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4]]
[[4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4, 4, 5]]
[[], [3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 5], [5, 5, 5, 5]]
[[], [3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 4]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [3, 3, 3, 4, 4], [3, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 5], [], [5, 5, 5], [4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3], [3, 4, 4, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5], [3, 3, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 5, 5], [3, 3, 3, 5], [3, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [], [3, 5, 5], [4, 5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 5]]
[[], [3, 3, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [3, 5, 5], [], [5, 5], [5], [3, 3, 3], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 4], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5], [3, 3, 3, 3], [4, 4], [5, 5], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3], [], [5, 5], [], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [3, 3, 3], [], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [3, 3, 3], [5, 5]]
[[], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [5, 5], [], [], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3, 3], [4, 4], [5], [5, 5], [4, 4], [], [3, 3, 3], [3, 3, 3], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [], [3, 3, 3], [3, 3, 3], [], [5, 5], [5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3], [5, 5], [4, 4], [5, 5], [4, 4], [5, 5]]
[[5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [3, 5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [4, 4], [3, 5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [5], [5], [3, 5]]
[[5], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [4, 5], [5], [5], [4, 5], [5], [4, 4], [5], [4, 4], [5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [3, 3], [3, 5], [5], [5], [4, 4], [5], [3, 3, 3]]
[[5], [4, 5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [4, 5], [], [3, 3, 3], [5], [5], [], [4, 4], [5], [3, 3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 5], [5], [3, 3], [5], [4, 4], [3, 3], [3, 5], [3, 3], [5], [5], [4, 4], [3, 3], [5], [5], [5], [5], [5], [5]]
[[], [3, 3], [5], [3, 3], [3, 5], [3, 5], [4, 4], [], [5], [5], [5], [5], [3, 5], [3, 3], [5], [5], [4, 4], [5], [3, 3], [3, 3], [3, 5], [5], [5], [3, 5], [], [4, 4], [3, 5], [3, 3], [5]]
[[5], [5], [3, 5], [5], [5], [5], [3, 5], [4, 4], [3, 3], [], [5], [5], [3, 3], [4, 4], [5], [4, 4], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [], [5]]
[[5], [5], [5], [4, 4], [], [5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [4, 4], [3, 3]]
[[5], [4, 4], [], [3, 5], [5], [], [3, 3], [3, 3], [3, 5], [5], [5], [5], [3, 5], [5], [5], [], [4, 4], [5], [5], [3, 3], [3, 3], [], [], [5], [3, 3], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [5]]
[[5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [5], [4], [3, 3], [4], [4], [5], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [3, 3], [5], [4], [3, 3], [3, 3], [], [5], [5], [5], [3, 3], [5]]
[[5], [3, 3], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4], [5], [5], [5], [5], [5], [4], [4], [], [5], [3, 3], [3, 3], [3, 3], [4], [5], [3, 3], [5], [5], [5], [], [5]]
[[4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [], [3, 3], [], [5], [5], [5], [4], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [5], [5], [4], [5], [4], [3, 3], [3, 3], [4]]
[[5], [3, 3], [3, 3], [3, 3], [], [3, 3], [5], [5], [4], [5], [], [5], [5], [3, 3], [], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [5], [4], [4], [4], [5], [5], [4], [5], [5], [5], [5], [4], [5]]
[[5], [], [4], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [], [], [3, 3], [4], [5], [5], [5], [4], [4], [5], [], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [5], [4], [5], [5], [3, 3], []]
[[4], [], [], [3, 3], [4], [5], [5], [5], [5], [5], [3, 3], [], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [], [4], [], [5], [3, 3], [5], [3, 3], [3, 3], [4], [4], [5], [5], [5], [3, 3], [5], [5], [5], [5], []]
[[4], [4], [], [3, 3], [4], [5], [5], [5], [], [5], [5], [5], [4], [], [5], [4], [5], [], [], [4], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [5], [], [5], [5], [3, 3], [5], [5], [3, 3]]
[[5], [4], [], [], [5], [5], [3, 3], [3, 3], [5], [4], [5], [3, 3], [5], [5], [], [5], [5], [3, 3], [5], [], [5], [5], [4], [4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [], [], [3, 3], [], [3, 3], [5], [], [4], [3, 3]]
[[4], [3], [3], [4], [3], [5], [3], [5], [3], [5], [5], [5], [5], [3], [3], [3], [5], [4], [4], [3], [3], [5], [3], [5], [3], [5], [3], [4], [5], [5], [5], [3], [4], [3], [5], [5], [3], [5], [5], [3], [3]]
-EndAllocation

Instance: [[1], [162], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,41. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3], [3, 3, 3, 3, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4], [], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 5], [5, 5, 5, 5]]
[[], [3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 5], [4, 4, 4, 4], [5, 5, 5], [], [3, 3, 4, 4, 4], [3, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 5], [], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3], [3, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5], [3, 3, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 5, 5], [3, 3, 3, 4], [3, 5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [], [3, 5, 5], [4, 5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [4, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 5], [5, 5], [], [4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 3, 4], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3], [], [5, 5], [], [4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 5], [5, 5], [3, 3, 3], [], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [3, 3, 3], [5, 5]]
[[], [4, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [5, 5], [], [], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3, 3], [4, 4], [5], [5, 5], [4, 4], [], [3, 3, 3], [3, 3, 3], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [], [3, 3, 3], [3, 3, 3], [], [5, 5], [5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3], [4, 5], [4, 4], [5, 5], [4, 4], [5, 5]]
[[5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [4, 4], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [5], [4, 5], [3, 3, 3]]
[[5], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [4, 5], [5], [5], [4, 4], [5], [4, 4], [5], [4, 4], [5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [3, 3, 3], [3, 5], [5], [5], [4, 4], [3, 5], [3, 4]]
[[5], [4, 4], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [3, 3], [4, 4], [5], [3, 3], [3, 5], [3, 5], [3, 3], [4], [5], [5], [5], [3, 3], [5], [5], [3, 5], [4, 4], [5], [3, 3]]
[[5], [3, 3], [3, 3], [5], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [3, 5], [3, 4], [5], [5], [4, 4], [3, 3], [5], [5], [5], [5], [5], [5]]
[[], [3, 3], [4], [3, 3], [3, 5], [3, 5], [4, 4], [], [5], [5], [5], [5], [3, 5], [3, 3], [5], [5], [4, 4], [5], [3, 3], [3, 3], [3, 5], [5], [5], [3, 5], [], [4, 4], [3, 5], [3, 3], [5]]
[[5], [5], [3, 5], [5], [5], [5], [3, 3], [4, 4], [3, 3], [], [5], [5], [3, 3], [4, 4], [5], [4, 4], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [3, 4], [5], [], [5]]
[[5], [5], [5], [4, 4], [], [5], [5], [4, 4], [3, 3], [5], [3, 5], [3, 3], [5], [3, 3], [3, 4], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [3, 3], [], [5], [5], [3, 3], [5], [4, 4], [3, 3]]
[[5], [4, 4], [], [3, 5], [5], [], [3, 3], [3, 3], [3, 5], [5], [5], [5], [3, 5], [4], [5], [], [4, 4], [5], [5], [3, 3], [3, 3], [], [], [5], [3, 3], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [5]]
[[5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [5], [4], [3, 3], [4], [4], [4], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [3, 3], [5], [4], [3, 3], [3, 3], [], [5], [5], [5], [3, 3], [5]]
[[5], [3, 3], [4], [5], [4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4], [5], [5], [5], [5], [5], [4], [4], [4], [5], [], [3, 3], [3, 3], [4], [3, 3], [3, 3], [5], [5], [5], [], [5]]
[[4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [], [3, 3], [4], [5], [5], [5], [4], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [], [5], [4], [5], [4], [3, 3], [3, 3], [4]]
[[5], [3, 3], [3, 3], [3, 3], [], [3, 3], [5], [5], [4], [5], [], [5], [5], [3, 3], [], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [5], [4], [4], [4], [5], [4], [4], [5], [5], [5], [5], [4], [5]]
[[5], [], [4], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [], [], [3, 3], [4], [5], [5], [5], [4], [4], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [5], [4], [5], [], [3, 3], []]
[[4], [], [], [3, 3], [4], [], [5], [5], [5], [5], [3, 3], [], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [], [4], [], [5], [3, 3], [5], [3, 3], [3, 3], [4], [4], [5], [5], [5], [3, 3], [5], [5], [5], [5], [4]]
[[4], [4], [], [3, 3], [4], [5], [5], [5], [], [5], [5], [5], [4], [4], [], [4], [5], [], [], [4], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [], [3, 3], [5], [5], [], [5], [5], [3, 3], [5], [5], [3, 3]]
[[5], [4], [], [], [5], [5], [3, 3], [3, 3], [5], [4], [5], [3, 3], [5], [5], [], [5], [5], [3, 3], [4], [], [5], [5], [4], [4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [], [], [3, 3], [], [3, 3], [5], [], [4], [3, 3]]
[[4], [3], [3], [4], [3], [5], [3], [5], [3], [5], [5], [5], [5], [3], [3], [3], [5], [4], [4], [4], [3], [3], [3], [5], [3], [5], [3], [4], [5], [5], [5], [3], [4], [3], [5], [5], [3], [5], [5], [3], [3]]
-EndAllocation

Instance: [[1], [161], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,41. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,41:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5]]
[[], [4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5], [4, 5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5], [3, 3, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3, 3], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3], [5, 5, 5]]
[[], [4, 4, 4], [3, 3, 5], [4, 5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 5, 5]]
[[], [3, 5, 5], [], [4, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5], [4, 5, 5], [3, 3, 3, 3], [3, 5, 5]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 5], [3, 3, 3, 3], [3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 5], [], [5, 5], [4, 4], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [], [5, 5]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3], [3, 3, 3, 3], [], [5]]
[[], [], [], [], [5, 5], [3, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5], [], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5]]
[[], [3, 3, 3], [4, 4], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5], [3, 3, 3], [5, 5], [], [3, 3, 3], [5, 5], [3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [5, 5], [4, 4], [5, 5], [5], [3, 3, 3], [3, 3, 3], [], [5, 5], [3, 3, 3], [4, 4], [4, 4], []]
[[5], [5], [4, 5], [3, 3, 3], [5], [5], [5], [4, 5], [4, 4], [3, 3, 3], [4, 4], [3, 3, 3], [5], [4, 5], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3], [4, 5], [5]]
[[5], [4, 4], [5], [3, 5], [3, 3, 3], [5], [4, 4], [3, 5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [5], [3, 3, 3], [3, 5], [3, 3, 3], [5], [5], [4, 4], [5], [4, 4]]
[[5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [3, 3, 3], [3, 5], [3, 3, 3], [3, 3, 3], [4, 5], [5], [4, 5], [4, 4], [5], [], [3, 5], [5], []]
[[5], [5], [5], [3, 3, 3], [5], [], [5], [5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [3, 3, 3], [5], [5]]
[[5], [5], [3, 5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [3, 5], [3, 3], [5], [5], [5], [4, 4], [5], [4, 4], [5], [3, 3], [3, 3], [4, 4], [4, 4]]
[[5], [], [5], [3, 3], [3, 3], [3, 3], [], [3, 5], [3, 5], [5], [4, 4], [5], [4, 4], [5], [5], [4, 4], [3, 3], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3, 5], [3, 5], [5]]
[[5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [5], [3, 3], [5], [3, 3], [], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [4, 4], [4, 4], [5], [4, 4]]
[[5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [5], [4, 4], [3, 3], [5], [5], [5], [4, 4], [3, 3], [3, 3], [4, 4], [], [4, 4], [3, 3], [], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3]]
[[5], [], [3, 3], [4, 4], [], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4], [3, 3], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [5], [5], [5]]
[[5], [], [5], [5], [5], [4, 4], [5], [5], [], [3, 3], [4, 4], [], [3, 5], [4, 4], [3], [5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [3, 3], [3, 3], [], [5], [5], [3, 3], [3, 3]]
[[5], [5], [3, 3], [3, 3], [5], [4], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [4], [4], [3, 3], [], [3, 3], [5], [4], [5], [5], [5], [5], [5], [5], [3, 3], [5], [4], [4], [3, 3], [4], [4]]
[[5], [], [5], [5], [5], [4], [5], [4], [5], [3, 3], [5], [5], [3, 3], [5], [4], [3, 3], [], [3, 3], [5], [4], [5], [5], [5], [3, 3], [4], [3, 3], [3, 3], [4], [3, 3], [3, 3], [4], [5], [4], [5]]
[[4], [5], [5], [3, 3], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [4], [5], [3, 3], [4], [5], [5], [3, 3], [5], [4], [], [], [4], [5], [], [3, 3], [4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4]]
[[5], [4], [3, 3], [4], [4], [4], [5], [5], [], [5], [], [3, 3], [5], [3, 3], [4], [5], [3, 3], [3, 3], [], [], [5], [5], [5], [3, 3], [5], [4], [5], [5], [5], [4], [4], [3, 3], [3, 3], [5], [3, 3], [5]]
[[5], [5], [3, 3], [4], [5], [], [5], [], [5], [5], [4], [5], [4], [5], [5], [3, 3], [3, 3], [5], [3, 3], [], [5], [], [3, 3], [4], [5], [3, 3], [3, 3], [3, 3], [], [3, 3], [5], [5], [5], [4], [4], [4], [4]]
[[], [4], [3, 3], [3, 3], [4], [5], [4], [], [3, 3], [5], [4], [5], [4], [3, 3], [5], [5], [5], [4], [], [3, 3], [3, 3], [3, 3], [5], [], [5], [4], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [], [], [5], [4]]
[[], [5], [5], [4], [5], [3, 3], [3, 3], [4], [5], [], [], [], [3, 3], [5], [5], [5], [5], [], [4], [], [4], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [4], [5], [3, 3], [3, 3], [4], [4], [3, 3], [5], [5], [4], []]
[[5], [], [4], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [], [5], [4], [3, 3], [3, 3], [], [3, 3], [4], [], [3, 3], [], [4], [5], [], [5], [4], [5], [4], [4], [4], [5], [3, 3], [3, 3], [5], [5], [], [], [3, 3]]
[[3], [3], [5], [4], [3], [3], [5], [3], [5], [4], [5], [4], [5], [4], [4], [5], [5], [3], [4], [3], [5], [5], [4], [3], [3], [3], [4], [5], [5], [3], [5], [3], [5], [3], [3], [5], [5], [3], [3], [3], [3]]
-EndAllocation

Instance: [[1], [168], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,42. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5]]
[[5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5], [3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5]]
[[], [], [4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [3, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 5], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], []]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5], [3, 3], [4, 4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 5], [4, 4, 4], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [], [5, 5], [4, 4, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [3], [3, 3, 3, 3], [5, 5], [5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4], [3, 5], [], [5, 5], [5, 5], [], [5, 5]]
[[], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3], [5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], []]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5], [3, 3, 3], [], [], [4, 4], [5, 5], [5, 5], [3, 3], [4, 4]]
[[5], [4, 4], [3, 5], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [4, 4], [3, 5], [3, 3, 3], [5], [5], [3, 5], [5], [5], [5], [3, 5], [3, 5], [4, 4], [3, 3, 3], [3, 5]]
[[5], [4, 4], [5], [5], [5], [5], [3, 5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [5], [5], [4, 4], [5], [4, 5], [3, 3, 3], [3, 3, 3], [4, 5], [5]]
[[5], [4, 4], [5], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [3, 5], [5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3]]
[[5], [5], [5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3], [4, 4], [], [3, 5], [5], [5], [5], [3, 3, 3], [5], [5], [5], [4, 4]]
[[5], [4, 4], [5], [5], [3, 3], [3, 5], [4, 4], [3, 3], [5], [3, 3], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [4, 4], [5], [3, 5]]
[[5], [5], [5], [5], [], [5], [3, 5], [3, 5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [4, 4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 5], [3, 3]]
[[5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [5], [5], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4]]
[[], [5], [5], [3, 3], [4, 4], [4, 4], [3, 5], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [], [5], [5], [5], [5], [5]]
[[5], [3, 5], [3, 3], [5], [3, 5], [], [4, 4], [5], [3, 3], [3, 3], [], [4, 4], [5], [], [5], [3, 5], [3, 3], [5], [], [3, 5], [4, 4], [], [3, 3], [5], [4, 4], [5], [5], [3, 3], [3, 5], [5], [5], [5]]
[[5], [], [5], [5], [5], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 5], [3, 3], [4, 4], [5], [], [4, 4], [3, 3], [5], [], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [], [5]]
[[5], [5], [4], [5], [5], [5], [4], [3, 3], [3, 3], [4], [3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [4], [4], [3, 3], [4], [5], [5], [4], [3, 3], [4], [5], [3, 3], [5], [5], [5], [5], [5]]
[[5], [3, 3], [4], [], [3, 3], [3, 3], [3, 3], [5], [4], [4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [5], [4], [5], [4], [5], [5], [5], [3, 3], [5], [5], [5], [3], [5], [4]]
[[5], [5], [3, 3], [4], [5], [5], [4], [], [4], [4], [5], [5], [5], [3, 3], [4], [5], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [4], [], [5], [3, 3], [5], [3, 3], [4], [3, 3], [3], [5], [3, 3], [5]]
[[5], [5], [5], [4], [4], [5], [4], [4], [], [4], [4], [4], [3, 3], [3, 3], [5], [], [5], [5], [], [3, 3], [5], [5], [3, 3], [4], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3], [3, 3]]
[[], [5], [3], [5], [5], [4], [3, 3], [4], [5], [5], [3, 3], [5], [4], [5], [4], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [4], [], [5], [5], [5], [3, 3], [3, 3], [5], [], [4], [5], [4], [], [4], [5], [5]]
[[], [3, 3], [5], [5], [5], [4], [], [5], [4], [4], [3, 3], [4], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [4], [3, 3], [3, 3], [3, 3], [], [5], [3], [5], [3, 3], [5], [5], [5], [4], [5], [], [4], [5]]
[[5], [3, 3], [5], [4], [], [3, 3], [3, 3], [], [4], [4], [], [5], [], [5], [3, 3], [3, 3], [5], [5], [5], [3], [5], [5], [5], [5], [], [4], [4], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [], [5], [4], [4], [5], [5]]
[[4], [5], [3, 3], [], [4], [4], [5], [3, 3], [], [3, 3], [], [3], [], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [], [4], [4], [], [5], [5], [3, 3], [3, 3], [], [3, 3], [5], [5], [5]]
[[3], [4], [5], [5], [4], [5], [3], [5], [3], [4], [3], [4], [5], [5], [3], [3], [5], [5], [5], [3], [3], [4], [5], [3], [5], [3], [5], [5], [5], [4], [3], [3], [5], [3], [4], [3], [5], [4], [3], [3], [5], [3]]
-EndAllocation

Instance: [[1], [167], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,42. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 5]]
[[], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5], [3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5]]
[[], [], [3, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5], [5, 5, 5], [3, 3, 3, 3, 4], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5], [3, 3, 3], [4, 4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4, 4], [3], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [4, 4, 4], [5, 5], [5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [3, 5], [], [5, 5], [5, 5], [], [5, 5]]
[[], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [4, 4], [5, 5], [3, 3, 4], [5, 5], [3, 3, 3], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5]]
[[], [5, 5], [4, 5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3], [5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], []]
[[], [5, 5], [4, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5], [3, 3, 3], [], [], [4, 4], [5, 5], [5, 5], [3, 3], [4, 4]]
[[5], [4, 4], [3, 5], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [4, 4], [3, 3, 3], [3, 3, 3], [4, 5], [5], [3, 5], [5], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5]]
[[5], [4, 4], [5], [], [5], [5], [3, 5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [5], [5], [4, 4], [5], [4, 5], [3, 3, 3], [3, 3, 3], [4, 5], [4, 5]]
[[5], [4, 4], [5], [5], [5], [4, 5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [3], [5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3]]
[[5], [5], [5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3], [4, 4], [], [3, 5], [], [5], [5], [3, 3, 3], [5], [5], [5], [4, 4]]
[[5], [4, 4], [5], [5], [3, 3], [3, 5], [4, 4], [3, 3], [4], [3, 3], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [4, 4], [5], [3, 5]]
[[5], [5], [5], [5], [], [5], [3, 5], [3, 5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [4, 4], [3, 4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [4], [5], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [5], [5], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4]]
[[], [5], [5], [3, 3], [4, 4], [4, 4], [3, 3], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [], [5], [5], [5], [5], [5]]
[[5], [3, 5], [3, 3], [5], [3, 5], [], [4, 4], [5], [3, 3], [3, 3], [], [4, 4], [5], [], [5], [3, 5], [3, 3], [5], [], [3, 5], [4, 4], [4], [3, 3], [5], [4, 4], [], [5], [3, 3], [3, 5], [5], [5], [5]]
[[5], [], [5], [5], [5], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 5], [3, 3], [4, 4], [5], [], [4, 4], [3, 3], [5], [], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [3, 3], [4], [3, 3], [], [5]]
[[5], [5], [4], [5], [5], [5], [4], [3, 3], [3, 3], [4], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [3], [4], [4], [4], [4], [5], [5], [4], [3, 3], [4], [5], [3, 3], [5], [5], [5], [5], [5]]
[[5], [3, 3], [4], [], [3, 3], [3, 3], [3, 3], [5], [4], [4], [5], [4], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [5], [4], [5], [4], [5], [5], [5], [3, 3], [5], [5], [5], [3], [5], [4]]
[[5], [5], [3, 3], [4], [5], [5], [4], [], [4], [4], [5], [5], [5], [3, 3], [4], [5], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [4], [], [4], [3, 3], [5], [3, 3], [4], [3, 3], [3], [5], [3, 3], [5]]
[[5], [5], [5], [4], [4], [5], [4], [4], [], [4], [4], [4], [3, 3], [3, 3], [5], [], [5], [5], [], [3, 3], [5], [5], [3, 3], [4], [3, 3], [5], [5], [5], [5], [4], [3, 3], [5], [5], [3, 3], [5], [3], [3, 3]]
[[], [5], [3, 3], [5], [5], [4], [3, 3], [4], [5], [5], [3, 3], [5], [4], [5], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [5], [4], [3], [5], [5], [5], [3, 3], [3, 3], [5], [], [4], [], [4], [], [4], [5], [5]]
[[], [3, 3], [5], [5], [5], [4], [], [5], [4], [4], [3, 3], [4], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [4], [4], [3, 3], [3, 3], [3, 3], [], [5], [3], [5], [3, 3], [5], [5], [5], [4], [5], [], [4], [5]]
[[5], [3, 3], [5], [4], [4], [3, 3], [3, 3], [], [4], [4], [], [5], [], [], [3, 3], [3, 3], [5], [5], [5], [3], [5], [5], [5], [5], [], [4], [4], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [], [5], [4], [4], [5], [5]]
[[4], [5], [3, 3], [], [4], [4], [5], [3, 3], [], [3, 3], [], [3], [4], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [], [3, 3], [5], [5], [4], [5], [], [4], [4], [], [5], [5], [3, 3], [3, 3], [], [3, 3], [5], [5], [5]]
[[3], [4], [4], [5], [4], [5], [3], [5], [3], [4], [3], [4], [5], [5], [3], [3], [5], [5], [5], [3], [3], [4], [5], [3], [5], [3], [5], [5], [5], [4], [3], [3], [5], [3], [4], [3], [5], [4], [3], [3], [5], [3]]
-EndAllocation

Instance: [[1], [166], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,42. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5]]
[[5], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5]]
[[], [], [4, 4, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], []]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5], [3, 3, 3], [4, 4, 4, 4]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4], [4, 4, 4], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 5], [], [5, 5], [4, 4, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4], [3, 5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [3, 3], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [4, 4, 4], [5, 5], [5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4], [3, 3, 5], [], [5, 5], [5, 5], [], [5, 5]]
[[], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [], [5, 5], [4, 4], [5, 5], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], []]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [4, 4], [5, 5], [], [3, 3, 3], [], [], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4]]
[[5], [4, 4], [3, 5], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [5], [5], [5], [5], [3, 5], [4, 4], [3, 3, 3], [3, 5]]
[[5], [4, 4], [5], [], [5], [5], [3, 5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [5], [5], [4, 4], [5], [4, 5], [3, 3, 3], [3, 3, 3], [4, 5], [3, 5]]
[[5], [4, 4], [5], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [3, 3], [5], [3, 5], [5], [5], [3, 3, 3], [4, 4], [5], [3, 3, 3]]
[[5], [5], [5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [3, 3, 3], [5], [3, 5], [5], [3, 3, 3], [4, 4], [], [3, 5], [3], [5], [5], [3, 3, 3], [5], [5], [5], [4, 4]]
[[5], [4, 4], [5], [], [3, 3], [3, 5], [4, 4], [3, 3], [5], [3, 3], [3, 5], [3, 3], [4, 4], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 5], [4, 4], [5], [3, 5]]
[[5], [5], [5], [5], [], [5], [3, 5], [3, 5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [4, 4], [4, 4], [4, 4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [], [5], [5], [5], [4, 4], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [3, 3], [4, 4]]
[[], [5], [5], [3, 3], [4, 4], [4, 4], [3, 3], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [], [5], [5], [5], [5], [5]]
[[5], [3, 5], [3, 3], [5], [3, 5], [], [4, 4], [5], [3, 3], [3, 3], [], [4, 4], [3, 5], [], [5], [3, 5], [3, 3], [5], [], [3, 5], [4, 4], [], [3, 3], [5], [4, 4], [], [5], [3, 3], [3, 5], [5], [5], [5]]
[[5], [], [5], [5], [5], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 5], [3, 3], [4, 4], [5], [], [4, 4], [3, 3], [5], [], [5], [4, 4], [3, 3], [3, 5], [], [3, 3], [5], [3, 3], [5], [3, 3], [], [5]]
[[5], [5], [4], [5], [5], [5], [4], [3, 3], [3, 3], [4], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [], [4], [4], [3, 3], [4], [5], [5], [4], [3, 3], [4], [5], [3, 3], [5], [5], [5], [5], [5]]
[[5], [3, 3], [4], [], [3, 3], [3, 3], [3, 3], [5], [4], [4], [5], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [5], [4], [5], [4], [5], [5], [], [3, 3], [5], [5], [5], [3, 3], [5], [4]]
[[5], [5], [3, 3], [4], [5], [5], [4], [], [4], [4], [5], [5], [5], [3, 3], [4], [5], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [4], [], [5], [3, 3], [5], [3, 3], [4], [3, 3], [3, 3], [], [3, 3], [5]]
[[5], [5], [5], [4], [4], [5], [4], [4], [], [4], [4], [4], [3, 3], [3, 3], [5], [], [5], [5], [], [3, 3], [5], [5], [3, 3], [4], [3, 3], [5], [5], [], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3]]
[[], [5], [3, 3], [5], [5], [4], [3, 3], [4], [5], [5], [3, 3], [5], [4], [5], [4], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [4], [], [5], [5], [5], [3, 3], [3, 3], [5], [], [4], [], [4], [], [4], [5], [5]]
[[], [3, 3], [5], [5], [5], [4], [], [5], [4], [4], [3, 3], [4], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [4], [3, 3], [3, 3], [3, 3], [], [5], [3, 3], [5], [3, 3], [5], [5], [], [4], [5], [], [4], [5]]
[[5], [3, 3], [5], [4], [], [3, 3], [3, 3], [], [4], [4], [], [5], [], [], [3, 3], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [], [4], [4], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [], [5], [4], [4], [5], [5]]
[[4], [5], [3, 3], [], [4], [4], [5], [3, 3], [], [3, 3], [], [3, 3], [], [4], [5], [5], [5], [4], [5], [5], [3, 3], [5], [], [3, 3], [5], [5], [4], [5], [], [4], [4], [], [5], [5], [3, 3], [3, 3], [], [3, 3], [5], [5], [5]]
[[3], [4], [5], [5], [4], [5], [3], [5], [3], [4], [3], [4], [5], [5], [3], [3], [5], [5], [5], [3], [3], [4], [5], [3], [5], [3], [5], [5], [3], [4], [3], [3], [5], [3], [4], [3], [5], [4], [3], [3], [5], [3]]
-EndAllocation

Instance: [[1], [165], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,42. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4]]
[[], [5, 5, 5, 5, 5, 5], [4, 4, 4, 5], [3, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5], [3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [2, 2, 3, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5], [], [5, 5, 5, 5]]
[[], [4, 4, 4, 4], [2, 2, 2, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 2, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 3, 4], [5, 5, 5]]
[[], [5, 5, 5], [3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 2, 2], [5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5]]
[[5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [4, 5, 5], [3, 5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5], [5, 5], [5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [4, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [], [], [5, 5], [5, 5], [5, 5], [2, 5, 5], [2, 2, 4, 5], [2, 2, 2, 2, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [], [5, 5], [3], [4, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
[[], [], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 5], [2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [3, 5]]
[[], [5, 5], [5, 5], [], [3, 5], [5, 5], [5, 5], [4, 4], [5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2]]
[[], [4, 4], [5, 5], [5, 5], [3, 5], [], [5, 5], [2, 2, 2], [4, 4], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [5, 5], [], [], [4, 4], [2, 2, 2, 2, 2], [3, 5], [], [5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2], [], [5, 5], [5, 5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [2, 2, 5], [3, 5], [2, 2, 5], [5], [4, 5], [5], [2, 2, 5], [2, 2, 5], [2, 5], [5], [5], [4, 5], [4, 5], [5]]
[[5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [3, 5], [4, 5], [2, 2, 5], [4, 5]]
[[5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [5], [4, 5], [5], [2, 5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [4, 5], [5]]
[[5], [5], [5], [5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 5], [3, 5], [2, 2, 2, 2], [5], [2, 5], [4, 4], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 5], [5], [2, 5], [5], [4, 4], [2, 5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [4, 4], [2, 5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [3, 5], [5], [2, 5], [5], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [3, 4], [5], [2, 2, 2, 2], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [5], [5], [4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [3, 5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [2, 5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [4, 4], [5], [5], [5], [3, 5], [5], [], [2, 2, 2, 2], [2, 2, 2, 2], [5], [4, 4], [], [5], [5], [5], [5], [5], [], [5]]
[[5], [3], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [4], [5], [5], [4], [5], [5], [5], [2, 4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [4], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [2, 3], [5], [5], [5], [], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [4], [5], [3], [2], [5], [], [5], [5]]
[[5], [4], [2, 2, 2], [2, 4], [2, 2, 2], [4], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [3], [5], [5], [4], [5], [5], [5], [], [5], [5], [5], [5], [5], [5]]
[[5], [5], [4], [2, 2, 2], [], [5], [5], [5], [3], [5], [4], [5], [5], [5], [5], [5], [4], [2, 2, 2], [4], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [], [5], [2]]
[[5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [4], [5], [5], [5], [5], [], [5], [2, 3], [5], [2, 2, 2], [4], [2, 2, 2], [], [5], [5], [5], [4], [5], [5], [], [5], [5], [5], [5], [5], [4], [5], [5], [], [5], []]
[[], [5], [5], [5], [], [4], [], [], [5], [5], [], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [4], [5], [5], [2], [4], [5], [5], [5], [5], [5], [3], [5], [5], [2, 2, 2], [5], [2, 2, 2]]
[[5], [2, 2, 2], [5], [], [4], [2, 2, 2], [4], [4], [5], [5], [5], [5], [5], [5], [], [3], [5], [2, 2, 2], [5], [5], [5], [4], [], [2, 2, 2], [5], [2], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [], [], [5]]
[[5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [], [5], [5], [5], [4], [5], [], [5], [5], [2, 2, 2], [5], [], [5], [5], [], [], [5], [5], [4], [], [5], [2, 2, 2], [2, 3], [], [5], [5], [4], [5], [4], [5], [5], [5], [5], [], [5]]
[[5], [5], [2, 2], [2, 2], [5], [], [5], [5], [5], [2, 2], [5], [5], [2, 2], [4], [5], [], [5], [], [5], [4], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [], [3], [2], [4], [2, 2], [4], [], [5], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [172], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,43. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,43:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4]]
[[], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [], [4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [4, 4, 4, 5], [5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5], [4, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [3], [5, 5, 5], [5, 5, 5], [], [5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 4, 4]]
[[], [4, 4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 5], [5, 5], [5, 5], [4, 4, 4], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], []]
[[], [5, 5], [5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [4, 4], [3, 3, 3, 3], [5, 5], [3, 5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 5, 5], [3, 5, 5], [], [5, 5], [5, 5], [3, 5, 5], [], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [3, 4, 4], []]
[[], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [4, 4], [3, 3, 3, 3]]
[[], [], [], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [4, 4, 4], [4, 4], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [4, 5], [], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [4, 4], [], [4, 4]]
[[], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4], [3], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [4, 4], [5, 5], [], [4]]
[[], [3, 3, 3], [], [3, 3], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [5, 5], [4, 4], [5, 5], [3, 3, 4], [3, 3, 3], [5, 5], [4, 4], [4, 4], [5, 5], [3, 3, 3], [], [3, 3, 3], [4, 4], [5, 5]]
[[5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [3, 4], [4, 4], [4, 4], [3, 5], [3, 5], [5], [5], [5], [3, 5], [3, 3, 3], [3, 5], [4, 4], [5], [5], [3, 5], [3, 5], [5], [5], [5]]
[[5], [3, 5], [5], [5], [4, 4], [3, 3, 3], [5], [5], [3, 3, 3], [4, 4], [4, 4], [5], [3, 3, 3], [4, 4], [3, 3], [3, 5], [4, 4], [3, 3, 3], [5], [5], [5], [4, 5], [5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [4, 4], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 5], [], [5], [3, 3, 3], [5], [4, 4], [3, 5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [5], [3, 3, 3]]
[[], [], [3, 3, 3], [4, 4], [4], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 5], [5], [3, 3, 3], [5], [5], [3, 5], [5], [5], [5], [4, 4], [5], [3, 3, 3], [3, 5], [3, 3, 3], [3, 5], [5]]
[[5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [3, 3], [5], [3, 5], [3, 5], [3, 3], [3, 3], [5], [4, 4], [5], [5], [5], [5], [5], [4, 4], [4, 4], [5], [4, 4], [4, 4], [5]]
[[5], [5], [3, 3], [5], [4, 4], [5], [5], [5], [3, 5], [5], [3], [5], [4, 4], [4, 4], [3, 5], [4, 4], [4], [3, 3], [5], [3, 5], [], [5], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [3, 3]]
[[], [4], [5], [3, 3], [4, 4], [5], [5], [5], [4, 4], [3, 5], [5], [4, 4], [5], [5], [5], [3, 5], [3, 3], [], [5], [5], [], [5], [3, 3], [5], [3, 3], [3, 5], [3, 3], [3, 3], [3, 5], [4, 4], [4, 4]]
[[], [], [5], [4, 4], [4, 4], [3, 3], [4, 4], [5], [3, 5], [3, 3], [5], [3, 5], [5], [3, 5], [4, 4], [], [5], [5], [3, 5], [], [3, 3], [3, 3], [3, 5], [5], [5], [3, 3], [4, 4], [], [5], [3, 5], [4], [5]]
[[], [3, 5], [4, 4], [], [3, 3], [5], [3, 3], [5], [4, 4], [3, 5], [5], [3, 5], [5], [5], [4], [4, 4], [3, 3], [3, 3], [], [], [4, 4], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [5], [5], [5], [5], [], [5]]
[[5], [3, 3], [5], [5], [], [5], [5], [5], [4, 4], [4], [3, 3], [], [], [5], [4, 4], [3, 3], [], [3, 5], [5], [5], [3, 3], [3, 5], [3, 3], [3, 3], [5], [4, 4], [4, 4], [3, 3], [5], [4, 4], [], [5], [5], [5]]
[[5], [4], [4], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5], [5], [5], [5], [3, 3], [3, 3], [4], [5], [3, 3], [5], [4], [4], [4], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [4], [5], [5], [5], [4]]
[[4], [3, 3], [5], [5], [5], [3, 3], [4], [5], [5], [4], [5], [4], [3, 3], [4], [5], [5], [3, 3], [4], [4], [4], [3, 3], [3, 3], [5], [5], [5], [], [4], [3, 3], [5], [5], [5], [3, 3], [5], [4], [4], [5]]
[[5], [5], [4], [5], [5], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [3, 3], [4], [5], [5], [4], [5], [4], [3, 3], [], [], [4], [5], [3, 3], [3, 3], [5], [4], [5], [4], [5], [5], [4], [5], [4], [4], [3, 3]]
[[4], [5], [5], [5], [4], [3, 3], [4], [5], [5], [4], [5], [3, 3], [5], [5], [4], [3, 3], [5], [3, 3], [], [5], [5], [4], [3, 3], [4], [3, 3], [5], [], [4], [4], [4], [4], [5], [3, 3], [5], [3, 3], [5], [], [5]]
[[4], [3, 3], [5], [], [5], [5], [5], [3, 3], [5], [4], [3, 3], [5], [5], [4], [5], [3, 3], [5], [3, 3], [5], [4], [5], [5], [], [5], [3, 3], [4], [5], [5], [4], [4], [5], [], [3, 3], [], [4], [3, 3], [4], [4], [4]]
[[], [5], [3, 3], [4], [], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [5], [5], [5], [3, 3], [], [3, 3], [], [3, 3], [5], [3, 3], [4], [5], [], [4], [4], [5], [5], [5], [5], [4], [4], [4], [5], [5], [3, 3], [4], [5]]
[[4], [4], [5], [4], [3, 3], [3, 3], [], [], [5], [4], [4], [3, 3], [5], [5], [], [3, 3], [5], [], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4], [], [4], [4], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [], [5]]
[[4], [5], [5], [5], [3, 3], [5], [4], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [], [4], [], [5], [3, 3], [3, 3], [4], [4], [5], [5], [5], [], [3, 3], [3, 3], [], [4], [4], [], [4], [5], [4], [5], [], [4], [5], [], [5], [5]]
[[5], [3], [3], [3], [5], [3], [3], [3], [5], [5], [5], [5], [5], [3], [3], [4], [5], [4], [5], [5], [4], [3], [3], [4], [5], [4], [3], [5], [5], [5], [3], [3], [4], [4], [4], [3], [3], [5], [3], [4], [5], [4], [4]]
-EndAllocation

Instance: [[1], [171], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,43. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,43:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5]]
[[], [], [4, 4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [4, 4, 4, 4], [5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [3, 3, 3, 3, 3]]
[[], [5, 5, 5], [], [4, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [3], [5, 5, 5], [5, 5, 5], [], [5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [5, 5], [3, 5], [5, 5], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 5], [5, 5], [5, 5], [4, 4, 4], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], []]
[[], [5, 5], [5, 5], [5, 5], [], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 5, 5], [5, 5], [3, 3, 3], [5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [5], [5, 5], [5, 5], [], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [4, 4, 4], []]
[[], [3, 3, 3, 3], [5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [], [], [3, 3, 3, 3], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [4, 4], [], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [4, 4], [], [4, 4]]
[[], [5, 5], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4], [3], [5, 5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [4, 4], [5, 5], [], [4, 4]]
[[], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [5, 5], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5], [4, 4], [4, 4], [5, 5], [3, 3, 3], [], [3, 3, 3], [4, 4], [3, 5]]
[[5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [3, 5], [3, 5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 5], [4, 4], [5], [5], [3, 5], [5], [5], [5], [5]]
[[5], [3, 5], [5], [5], [4, 4], [3, 3, 3], [5], [5], [3, 3, 3], [4, 4], [4, 4], [], [3, 3, 3], [4, 4], [3, 3], [3, 5], [4, 4], [3, 3, 3], [5], [4, 5], [5], [4, 5], [5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [4, 4], [4, 4], [4, 5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 5], [], [5], [3, 3, 3], [5], [4, 4], [3, 5], [5], [5], [5], [4, 4], [5], [], [3, 3, 3], [5], [3, 3, 3]]
[[], [], [3, 3, 3], [4, 4], [4, 4], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 5], [5], [3, 3, 3], [5], [5], [3, 5], [5], [5], [5], [4, 4], [], [3, 3, 3], [3, 5], [3, 3, 3], [3, 5], [5]]
[[5], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5], [4, 4], [5], [5], [5], [5], [5], [4, 4], [4, 4], [5], [4, 4], [4, 4], [5]]
[[5], [5], [3, 3], [5], [4, 4], [5], [5], [5], [3, 5], [5], [3], [5], [4, 4], [4, 4], [3, 5], [4, 4], [4, 4], [3, 3], [5], [3, 5], [], [], [5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [3, 3]]
[[], [4, 4], [5], [3, 3], [4, 4], [5], [], [5], [4, 4], [3, 5], [5], [4, 4], [5], [5], [5], [3, 5], [3, 3], [], [5], [5], [], [5], [3, 3], [5], [3, 3], [3, 5], [3, 3], [3, 3], [3, 5], [4, 4], [4, 4]]
[[], [], [5], [4, 4], [4, 4], [3, 3], [4, 4], [5], [3, 5], [3, 3], [5], [3, 5], [5], [3, 5], [4, 4], [], [], [5], [3, 5], [], [3, 3], [3, 3], [3, 5], [5], [5], [3, 3], [4, 4], [], [5], [3, 5], [4, 4], [5]]
[[], [3, 5], [4, 4], [], [3, 3], [5], [3, 3], [5], [4, 4], [3, 5], [5], [3, 5], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [], [], [4, 4], [3, 5], [3, 3], [5], [3, 3], [5], [4, 4], [5], [5], [5], [], [], [5]]
[[5], [3, 3], [5], [5], [], [5], [5], [5], [4, 4], [4, 4], [3, 3], [], [], [5], [4, 4], [3, 3], [], [3, 5], [5], [5], [3, 3], [3, 5], [3, 3], [3, 3], [5], [4, 4], [4, 4], [3, 3], [], [4, 4], [], [5], [5], [5]]
[[5], [4], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [5], [5], [5], [5], [3, 3], [3, 3], [4], [5], [3, 3], [5], [4], [4], [4], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [4], [5], [5], [5], [4]]
[[4], [3, 3], [5], [5], [5], [3, 3], [4], [5], [5], [4], [5], [4], [3, 3], [4], [4], [5], [3, 3], [4], [4], [4], [3, 3], [3, 3], [5], [5], [5], [], [4], [3, 3], [5], [5], [5], [3, 3], [5], [4], [4], [5]]
[[5], [5], [4], [5], [], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [3, 3], [4], [5], [5], [4], [5], [4], [3, 3], [], [4], [4], [5], [3, 3], [3, 3], [5], [4], [5], [4], [5], [5], [4], [5], [4], [4], [3, 3]]
[[4], [5], [5], [4], [4], [3, 3], [4], [5], [5], [4], [5], [3, 3], [5], [5], [4], [3, 3], [5], [3, 3], [], [5], [5], [4], [3, 3], [4], [3, 3], [5], [], [4], [4], [4], [4], [5], [3, 3], [5], [3, 3], [5], [], [5]]
[[4], [3, 3], [5], [], [5], [5], [5], [3, 3], [5], [4], [3, 3], [5], [5], [4], [5], [3, 3], [4], [3, 3], [5], [4], [5], [5], [], [5], [3, 3], [4], [5], [5], [4], [4], [5], [], [3, 3], [], [4], [3, 3], [4], [4], [4]]
[[], [5], [3, 3], [4], [], [5], [5], [3, 3], [4], [4], [3, 3], [4], [5], [5], [5], [5], [3, 3], [], [3, 3], [], [3, 3], [5], [3, 3], [4], [5], [], [4], [4], [5], [5], [5], [5], [4], [4], [4], [4], [5], [3, 3], [4], [5]]
[[4], [4], [5], [4], [3, 3], [3, 3], [], [], [4], [4], [4], [3, 3], [5], [5], [], [3, 3], [5], [], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4], [], [4], [4], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [4], [], [5]]
[[4], [5], [5], [5], [3, 3], [5], [4], [4], [], [5], [3, 3], [3, 3], [3, 3], [5], [], [4], [], [5], [3, 3], [3, 3], [4], [4], [5], [5], [5], [], [3, 3], [3, 3], [], [4], [4], [], [4], [5], [4], [5], [4], [4], [5], [], [5], [5]]
[[5], [3], [3], [3], [5], [3], [3], [3], [5], [5], [5], [5], [5], [3], [3], [4], [5], [4], [5], [5], [4], [3], [3], [4], [4], [4], [3], [5], [5], [5], [3], [3], [4], [4], [4], [3], [3], [5], [3], [4], [5], [4], [4]]
-EndAllocation

Instance: [[1], [170], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,43. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5], [5, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 3, 3, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5], [2, 2, 2, 2, 3, 3, 3, 4, 4, 4], [5, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 5, 5], [5, 5, 5, 5], [2, 4, 4, 4, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 3, 3, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5]]
[[], [5, 5, 5, 5], [5, 5], [3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 5], [5, 5, 5, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2]]
[[], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [3, 3, 3, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5], [2, 2, 2, 5, 5]]
[[], [2, 2, 2, 2, 5], [3, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5], [3, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5], [2, 2, 4, 4, 4], [], [5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 3, 3, 3], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [5, 5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 5], [5, 5]]
[[5, 5], [4, 4, 4], [3, 3, 3], [5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [3, 3, 3], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2], [], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 5], [], [], [4, 4], [5, 5]]
[[], [5, 5], [5], [3, 3, 3], [2, 4, 4], [5, 5], [], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [2], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [], [5, 5], []]
[[], [], [5, 5], [4, 5], [], [5, 5], [5, 5], [], [5, 5], [], [5, 5], [3, 3, 3], [5, 5], [2, 2, 5], [2, 2, 2, 2, 2], [5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4]]
[[5], [3, 5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [3, 5], [5], [3, 5], [5], [5], [4, 5], [5], [5], [2, 2, 5], [4, 5]]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [3, 3, 3], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5]]
[[5], [5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [5], [5], [3, 3, 3], [5], [5], [5]]
[[5], [5], [5], [5], [5], [3, 5], [5], [3, 5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [5], [3, 3], [2, 2, 4], [2, 5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [3, 5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [5], [5], [2, 5], [2, 5], [5]]
[[5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [2, 5], [2, 2, 2, 2], [2, 2, 4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [3, 3]]
[[5], [5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5]]
[[5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [3, 5], [5], [5], [5], [5], [5], [5], [5], [], [5], [4]]
[[5], [5], [5], [5], [], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [3, 3], [], [5], [5], [5], [3, 5], [2, 2, 2, 2], [5], [4], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [4], [5], [3], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [3, 3]]
[[5], [5], [], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [3], [4], [5], [5], [4], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [], [3, 3], [3], [4], [4], [5], [], [5], [5], [2, 2, 2], [5]]
[[], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5], [], [5], [], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [3], [5]]
[[5], [5], [], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [], [5], [4], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5], [5], [3], [5], [5], [5], [5], [5], [4], [5], []]
[[5], [2, 2, 2], [5], [], [5], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [], [], [5], [5], [5], [5], [2, 4], [3], [5], [5], [], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [], [2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [5], [3, 3], [5], [5], [], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3], [], [], [4], [5], [2, 2, 2], [4], [], [5], [4], [5], [2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [3, 3], [], [], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [4], [], [], [3], [2, 2, 2], [5], [5], [4], [5], [5], [4], [5], [], [5]]
[[5], [5], [], [5], [5], [5], [], [4], [5], [], [5], [], [5], [5], [2, 2, 2], [5], [4], [], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [5], [5], [], [4], [5], [2, 2, 2], [3, 3], [5], [5], [3], [], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [], [], [4], [], [2, 2], [5], [3], [], [3], [5], [5], [5], [], [5], [5], [5], [5], [5], [3], [5], [5], [5], [4], [5], [5], [2, 2], [5], [5], [5], [5], [2, 2], [5], [2, 2], [4], [], [2, 2], [5], [2, 2], [5], [5], [5]]
-EndAllocation

Instance: [[1], [169], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,43. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,43:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 4, 4, 4], [2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5], [5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 3, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 3, 3, 4, 4, 4], [5, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5, 5]]
[[], [2, 5, 5, 5], [3, 3, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 5, 5, 5], [5, 5, 5, 5], [2, 2, 4, 4, 4, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5]]
[[], [5, 5, 5, 5], [5, 5, 5], [3, 3], [5, 5, 5, 5], [4, 4, 4, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2]]
[[], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [3, 3, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 5]]
[[], [2, 2, 2, 2, 2, 5], [3, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [2, 2, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 3, 3], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [5, 5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [3, 3, 5], [5, 5]]
[[5], [4, 4, 4], [3, 3, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 3, 5], [5]]
[[], [2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [3, 3], [2, 2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5], [5, 5], [], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [2, 5, 5], [5, 5], [3, 3, 5], [5], [], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2], [5], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2], [5, 5], [5, 5], [3, 3], [5, 5], [5, 5], [5, 5], [4, 5], [], [], [4, 4], [5, 5]]
[[], [5, 5], [5, 5], [3, 3], [2, 4, 4], [5], [], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [2, 2], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [], [5, 5], []]
[[], [], [5, 5], [4, 5], [], [5, 5], [5, 5], [5], [5, 5], [], [5, 5], [3, 3], [5, 5], [2, 2, 2], [2, 2, 2, 2, 2], [5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4]]
[[5], [3, 5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [3, 5], [5], [5], [5], [5], [4, 5], [2, 5], [5], [2, 2, 5], [4, 5]]
[[5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [3, 3], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [4, 5]]
[[5], [5], [2, 2, 5], [2, 5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [5], [5], [3, 3], [5], [5], [5]]
[[5], [2, 5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [4, 4], [5], [3, 3], [2, 2, 4], [2, 5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [5], [2, 5], [2, 5], [2, 5], [5]]
[[5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [2, 5], [2, 2, 2, 2], [2, 2, 4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 5], [5], [5], [5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5]]
[[5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [], [5], [4]]
[[5], [5], [5], [2, 5], [], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [3, 3], [], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2], [5], [4], [2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [4], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [3, 3]]
[[5], [5], [], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [4], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2], [5], [5], [2, 2, 2], [4], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [], [3, 3], [], [4], [4], [5], [2], [5], [5], [2, 2, 2], [5]]
[[], [5], [4], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [], [5], [4], [5], [5], [2], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [], [5]]
[[5], [5], [], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [], [5], [4], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4], [2], []]
[[5], [2, 2, 2], [5], [], [5], [5], [3, 3], [5], [5], [4], [5], [], [5], [5], [], [], [5], [5], [5], [5], [2, 4], [5], [5], [5], [], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [], [2, 2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [5], [3, 3], [5], [5], [], [5], [5], [5], [], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [], [2], [4], [5], [2, 2, 2], [4], [], [5], [4], [5], [2, 2, 2], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [], [3, 3], [], [], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [4], [], [], [5], [2, 2, 2], [5], [5], [4], [5], [5], [4], [5], [2], [5]]
[[5], [5], [], [5], [5], [5], [], [4], [5], [], [5], [], [5], [5], [2, 2, 2], [5], [4], [], [5], [2, 2, 2], [5], [5], [5], [5], [], [2], [5], [5], [], [4], [5], [2, 2, 2], [3, 3], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [], [], [4], [], [2, 2], [5], [3], [], [2, 3], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2], [], [5], [5], [5], [2, 2], [5], [2, 2], [4], [], [2, 2], [5], [2, 2], [5], [5], [5]]
-EndAllocation

Instance: [[1], [176], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,44. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,44:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [3, 3, 3, 3, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 5]]
[[], [5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[], [], [5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [3, 3, 3, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5]]
[[5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 5, 5], [3, 3, 3, 3], [5, 5], [4, 5, 5], [3, 3, 5], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 5], [5, 5], [4, 4, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 4, 4], [5, 5], [], [], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [5, 5], [3, 5, 5]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [4, 4, 4], [5, 5]]
[[], [4, 4, 4], [5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [], [3, 3, 3, 3], [3, 3, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], []]
[[], [], [5, 5], [3, 3], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [3, 3, 3, 3]]
[[], [], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4], [3, 3, 3], [4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [4, 4]]
[[], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], []]
[[], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3]]
[[], [4, 4], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [], [5, 5], [3, 3, 3], [5, 5], [4, 4], [], [5, 5], [5, 5], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [], [3, 3, 3], [3, 3, 3], [], [4, 4], [5, 5]]
[[5], [3, 5], [5], [5], [4, 4], [3, 5], [5], [5], [3, 3, 3], [4, 4], [3, 5], [5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [4, 4], [3, 5], [3, 5], [3, 3, 3], [5], [4, 4], [3, 5]]
[[5], [4, 4], [3, 3, 3], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3, 3], [3, 5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [3, 5], [3, 3, 3], [5], [4, 4], [5], [5], [3, 3, 3], [5], [5], [5]]
[[5], [5], [4], [3, 3, 3], [5], [4, 4], [4, 5], [3, 5], [5], [3, 3, 3], [3, 5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [5], [], [5], [5], [3, 5], [4, 4], [3, 3, 3]]
[[5], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [], [5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 3, 3], [5], [3, 3, 3], [5], [5]]
[[], [4, 4], [4, 4], [3, 5], [5], [], [], [4, 4], [5], [3, 5], [3, 3], [5], [3, 3], [3, 5], [4, 4], [5], [3, 5], [5], [3, 3], [3, 5], [5], [3, 5], [5], [3, 5], [], [3, 5], [5], [3, 3], [3, 5], [3, 5]]
[[5], [5], [5], [5], [4, 4], [3, 3], [5], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [4, 4], [5], [5], [3, 3], [5], [5], [4, 4], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 3], [5], [5]]
[[5], [5], [3, 3], [], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 5], [3, 3], [4, 4], [3], [3, 3], [4, 4], [3, 3], [5], [3, 3], [4, 4], [5], [5], [5], [5], [5], [5], [4, 4], [5]]
[[5], [5], [5], [3, 3], [5], [5], [3, 5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [], [3, 3], [5], [5], [4, 4], [], [], [4, 4], [5], [5], [4, 4], [5], [3, 5]]
[[5], [], [3], [5], [4, 4], [5], [3, 3], [5], [5], [4, 4], [5], [4, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 5], [3, 3], [], [5], [5], [5], [], [4, 4], [3, 3], [3, 3], [5]]
[[5], [3, 5], [5], [], [3, 3], [3, 5], [5], [4, 4], [], [3, 3], [5], [], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [], [5], [5], [4, 4], [5], [3, 3], [5], [5], [], [3, 3], [5], [5], [5], [4, 4], [4, 4], [3, 3]]
[[5], [5], [5], [5], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [4], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [4], [4], [4], [5], [4], [3, 3], [5], [3, 3], [4], [3, 3], [], [5], [5], [5], [5], [4]]
[[5], [5], [5], [5], [5], [5], [5], [3, 3], [], [3, 3], [5], [4], [4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [4], [], [5], [3, 3], [4], [3, 3], [3, 3], [5], [5], [4], [3, 3], [4], [4], [5], [4], [5]]
[[5], [3, 3], [5], [5], [4], [5], [4], [4], [4], [5], [5], [5], [5], [4], [5], [5], [3, 3], [3, 3], [5], [], [5], [], [], [4], [3, 3], [3, 3], [3, 3], [3, 3], [3, 3], [3, 3], [5], [4], [5], [5], [5], [4], [5], [5]]
[[5], [5], [5], [4], [5], [4], [3, 3], [5], [], [4], [4], [3, 3], [4], [5], [4], [], [3, 3], [5], [5], [5], [5], [3, 3], [5], [3, 3], [4], [4], [5], [5], [5], [5], [5], [3, 3], [], [3, 3], [5], [3, 3], [], [5], [3, 3]]
[[], [5], [3, 3], [5], [5], [5], [3, 3], [4], [4], [5], [4], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [4], [3, 3], [], [4], [], [4], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [4], [5], [4], [3, 3], [], [5], [3, 3]]
[[4], [4], [3, 3], [3, 3], [5], [4], [5], [5], [5], [5], [5], [5], [5], [4], [4], [3, 3], [5], [], [5], [], [5], [4], [5], [5], [5], [3, 3], [], [3, 3], [3, 3], [5], [3, 3], [3, 3], [4], [5], [5], [], [], [3, 3], [], [4], [5]]
[[], [3, 3], [5], [3, 3], [5], [], [5], [5], [5], [3, 3], [4], [5], [4], [4], [5], [5], [5], [5], [4], [5], [], [], [5], [5], [4], [3, 3], [], [5], [], [3, 3], [4], [5], [3, 3], [3, 3], [5], [4], [3, 3], [5], [5], [], [3, 3], [4]]
[[4], [], [5], [5], [4], [4], [4], [5], [4], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [5], [], [5], [], [5], [5], [5], [5], [3, 3], [4], [3, 3], [5], [], [5], [], [5], [4], [], [5], [3, 3], [5], [4], [5], [5], [5], [3, 3], [3, 3], []]
[[5], [5], [3], [5], [3], [4], [3], [3], [5], [3], [3], [4], [3], [5], [5], [5], [5], [3], [3], [5], [3], [5], [3], [5], [3], [5], [4], [3], [3], [3], [5], [5], [4], [4], [3], [4], [4], [3], [5], [5], [4], [5], [3], [5]]
-EndAllocation

Instance: [[1], [175], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,44. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,44:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5], [4, 4, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3], [4, 4, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 5], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [2, 3, 3, 3, 3, 3], [2, 2, 2, 2, 5], [5, 5, 5], [5, 5, 5], [5, 5], [2, 2, 2, 2, 4, 4], []]
[[], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [4, 4], [5, 5, 5]]
[[5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [2, 2, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 5], [5, 5], [2, 2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 5, 5], [3, 5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [2, 2, 2, 3, 3], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 3, 3], [5, 5], [3, 3, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 5], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [3, 3, 3, 3], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [4, 4], [5, 5], [2, 2, 2, 5], [5], [5, 5], [], [5, 5], [5, 5], [3, 3, 3, 3], []]
[[], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [3, 3, 3], [], [5, 5], [5, 5], [3, 3], [2, 2], [5, 5]]
[[], [5, 5], [5, 5], [3, 3, 3], [], [5, 5], [], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [3, 3], [3, 3, 3], [2, 2, 2, 2]]
[[], [5, 5], [5, 5], [2, 2, 2, 2], [5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [], [], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3], [5, 5], [4, 4], []]
[[5], [3, 5], [5], [5], [2, 2, 5], [5], [3, 5], [3, 5], [5], [3, 5], [3, 5], [5], [3, 5], [2, 2, 5], [2, 5], [5], [5], [5], [2, 2, 5], [3, 5], [4, 5], [3, 5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [3, 5], [5], [5], [5], [3, 5], [5], [3, 5], [3, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [3, 5], [5], [4, 5], [5], [4, 5], [3, 5], [2, 2, 2, 2], [5], [3, 5], [3, 5], [2, 5]]
[[5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 5], [5], [4, 4], [5], [5], [3, 5], [5], [3, 5], [3, 5], [3, 5], [5], [2, 2, 5], [5], [5], [5], [5], [3, 5], [3, 3, 3], [2, 2, 5], [5]]
[[5], [5], [5], [3, 5], [3, 5], [5], [3, 5], [5], [5], [3, 5], [5], [3, 5], [3, 5], [2, 5], [5], [5], [5], [3, 5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [2, 2, 2, 2], [5]]
[[5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [3, 5], [5], [4, 4], [5], [5], [3, 5], [5], [3, 5], [5], [5], [3, 5], [5], [3, 5], [3, 3, 3], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [2, 3, 3], [5], [5], [3, 5], [5], [5], [4, 4], [3, 5], [5], [3, 5], [3, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3]]
[[5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 3, 3], [2, 5], [5], [5], [2, 5], [4, 4], [5], [3, 3], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [3, 5], [5], [5], [5], [], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 5], [2, 2, 2, 2], [5], [4, 4], [3, 3], [5], [2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [2, 5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], []]
[[5], [5], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 3], [5], [3, 3], [5], [5], [5], [2, 5], [5], [2, 2, 2, 2], [3, 3], [5], [3, 3], [4, 4], [5], [5], [5]]
[[5], [5], [4], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [2, 2, 2], [5], [5], [3, 3], [5], [], [5], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2]]
[[5], [5], [5], [3, 3], [5], [], [5], [], [4], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [2, 2, 2], [5], [5]]
[[4], [5], [5], [5], [], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [5], [5], [5], [3, 3], [5], [5], [5], [], [4], [3, 3]]
[[], [3, 3], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [4], [5], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [4]]
[[5], [5], [5], [5], [5], [], [2, 2, 2], [4], [], [5], [5], [5], [5], [5], [], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [5], [], [5], [3, 3], [5], [2, 2, 2], [5]]
[[5], [5], [3, 3], [5], [2, 2, 2], [5], [5], [5], [5], [], [3, 3], [5], [], [5], [4], [5], [5], [3, 3], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [4], [5], [5], [5], [], [5], [], [5], [2, 2, 2], [3, 3], []]
[[], [5], [5], [5], [], [5], [5], [5], [5], [5], [], [5], [2, 2, 2], [5], [5], [5], [], [3, 3], [5], [4], [], [5], [5], [2, 2, 2], [4], [5], [5], [3, 3], [3, 3], [5], [5], [2, 2, 2], [5], [3, 3], [5], [5], [], [5], [5], [], [5]]
[[5], [5], [], [5], [5], [], [5], [5], [], [3, 3], [], [5], [], [5], [5], [2, 2, 2], [], [5], [], [], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5]]
[[4], [], [], [2, 2, 2], [2, 2, 2], [5], [5], [5], [], [5], [], [5], [5], [5], [5], [], [], [5], [5], [5], [4], [5], [5], [5], [3, 3], [], [3, 3], [2, 2, 2], [], [5], [5], [5], [5], [5], [3, 3], [5], [], [5], [5], [5], [3, 3], [5], [5]]
[[5], [5], [3], [5], [3], [], [2, 3], [2, 2], [], [5], [5], [4], [5], [5], [5], [3], [5], [], [5], [5], [3], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2], [3], [5], [], [3], [5], [4], [3], [5], [2, 2], [5], [5], [5], [], [2, 2]]
-EndAllocation

Instance: [[1], [174], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,44. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,44:
-StartAllocation
[[1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5]]
[[1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5], [1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], []]
[[1, 2, 4, 4, 4, 4, 4, 5, 5, 5], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], []]
[[1, 2, 4, 4, 4, 4, 4, 5, 5], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5], []]
[[1, 1, 2, 4, 4, 4, 4, 4, 5], [1, 1, 1, 1, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [5, 5], []]
[[1, 2, 3, 5, 5, 5, 5], [1, 1, 1, 1, 1, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5], [], []]
[[1, 1, 2, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5], [4, 4, 5, 5, 5], [4, 4, 4], [], []]
[[1, 2, 3, 5, 5, 5], [1, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5, 5], [3, 4, 4, 4, 4], [3, 3, 3, 3, 3], [], []]
[[2, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [1, 1, 4, 4, 5, 5], [1, 1, 3, 3, 4, 4, 4], [1, 1, 3, 3, 3, 3], [], [], []]
[[1, 2, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 4, 5], [1, 1, 1, 5, 5, 5], [1, 1, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [], [], []]
[[2, 3, 4, 4, 4], [1, 3, 4, 4, 5], [1, 1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 5], [], [], []]
[[1, 2, 3, 5, 5], [1, 5, 5, 5], [1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 4], [3], [], [], []]
[[1, 1, 2, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5], [], []]
[[1, 1, 2, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5], [], [], []]
[[2, 3, 4, 4], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [4, 4, 5], [1, 1, 1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], []]
[[2, 3, 4, 4], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [4, 4, 5], [1, 1, 1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [], []]
[[1, 1, 2, 4, 4], [1, 1, 5, 5], [1, 1, 4, 4], [3, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3], [], [], []]
[[1, 1, 2, 4, 4], [1, 1, 5, 5], [1, 1, 4, 4], [3, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3], [], [], [], []]
[[2, 3, 5], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], []]
[[2, 3, 5], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], [], []]
[[2, 3, 5], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], [], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 5], [2, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[2, 3, 4], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[2, 3, 4], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[2, 3, 4], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], []]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4]]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], []]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], []]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], []]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], [], []]
[[1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], [], []]
[[1, 2, 3], [1, 4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], [], [], []]
[[2, 3], [1, 3], [3], [3], [3], [3], [3], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [], [], [], [], []]
-EndAllocation

Instance: [[1], [173], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,44. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,44:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5]]
[[4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 4, 4], [3, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3]]
[[], [5, 5, 5, 5], [4, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 4, 4, 4, 4], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [4, 5, 5], [4, 4, 4, 4], [3, 5, 5, 5], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5], [4, 5, 5], [5, 5, 5], [], [4, 4, 4, 4], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 5, 5], [5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5]]
[[], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 5, 5]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3], [4, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [3, 3, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 5, 5], [5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [], [4, 4, 4], [3, 3, 3, 3], [5, 5]]
[[], [5, 5], [3, 5, 5], [], [4, 4, 4], [5, 5], [3, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [3, 5, 5], [4, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [], [3, 3, 3], []]
[[], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [], [3, 3, 3, 3], [4, 4, 4]]
[[], [4, 4], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3], [3, 3, 3], [3, 3, 4], [5, 5], [5, 5], [3, 3, 3], [4, 4], [4, 4]]
[[], [], [4, 4], [3, 3, 3], [], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [5, 5], [3, 5], [4, 4], [], [5, 5], [5, 5], [4, 4], [4, 5], [3, 3, 3], [3, 3, 3], [4, 4]]
[[], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3], [5, 5], [], [5, 5], [4, 4], [3, 3, 4], [], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [], [4, 4], []]
[[5], [3, 5], [5], [5], [3, 5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [5], [5], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3, 3], [5], [4, 4], [4, 4]]
[[5], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [4, 5], [3, 5], [3, 3, 3], [5], [], [3, 5], [4, 4], [5], [3, 3, 3], [5], [4, 4], [4], [4, 5], [3, 3, 3], [5], [4, 4], [3, 5], [3, 5], [5]]
[[5], [5], [4, 4], [5], [3, 5], [5], [5], [5], [4, 4], [4, 4], [5], [], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [4, 5], [5], [4, 4], [5], [5], [5], [3, 3], [3, 3, 3], [3, 5], [5]]
[[5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 5], [3, 3, 3], [5], [5], [4, 4], [5], [5], [3, 3, 3], [], [5], [], [5], [3, 3, 3], [5], [5], [4, 4], [5], [3, 5], [5], [4, 4], [5], [3, 3, 3], [4, 4]]
[[5], [3, 5], [5], [4, 4], [5], [3, 3], [5], [5], [4, 4], [3, 5], [5], [4, 4], [3, 5], [5], [3, 3], [5], [3, 3], [3, 5], [4, 4], [3, 3], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [], [3, 5]]
[[5], [4, 4], [3, 5], [5], [3, 3], [3, 3], [5], [3, 5], [4, 4], [4, 4], [5], [4, 4], [3, 3], [5], [3, 3], [3, 5], [3, 3], [4], [5], [], [3, 5], [5], [], [5], [5], [3, 3], [5], [5], [3, 5], [3, 3]]
[[5], [3, 3], [4, 4], [4, 4], [3, 3], [4, 4], [5], [3, 3], [5], [5], [5], [3, 3], [5], [], [3, 3], [3, 3], [5], [4], [5], [5], [4, 4], [5], [3, 3], [5], [5], [5], [5], [3, 5], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [5], [4, 4], [5], [5], [5], [3, 3], [3, 5], [3, 3], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [4, 4], [5], [3, 3], [5], [5], [], [3, 5], [5], [5], [4, 4], [3, 3], [3, 5], [5], [], [5]]
[[], [5], [5], [5], [5], [5], [4, 4], [4, 4], [3, 3], [3, 3], [4, 4], [5], [5], [5], [5], [3, 3], [5], [4, 4], [5], [3, 5], [], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5], []]
[[5], [4, 4], [4, 4], [4, 4], [], [], [3, 5], [5], [3, 3], [4], [3, 3], [3, 5], [5], [3, 5], [5], [5], [5], [], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [], [], [3, 3], [5], [3, 3], [4, 4], [3, 3], [5], [5]]
[[5], [5], [4], [4], [4], [4], [3, 3], [5], [5], [5], [5], [3, 3], [3], [5], [5], [4], [3, 3], [5], [3, 3], [3, 3], [3, 3], [5], [5], [4], [3, 3], [5], [4], [3, 3], [5], [5], [4], [5], [5], [4], [3, 3]]
[[5], [3], [4], [3, 3], [4], [4], [3, 3], [3, 3], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [4], [5], [], [4], [3, 3], [5], [4], [5], [4], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [4], [5]]
[[4], [5], [3], [5], [], [5], [3, 3], [5], [5], [5], [5], [5], [4], [5], [4], [3, 3], [5], [4], [3, 3], [5], [3, 3], [3, 3], [5], [4], [5], [4], [], [4], [5], [5], [3, 3], [4], [5], [3, 3], [3, 3], [4], [3, 3]]
[[], [3, 3], [5], [], [], [4], [5], [3], [5], [4], [5], [3, 3], [4], [5], [5], [3, 3], [3, 3], [5], [4], [5], [5], [4], [5], [4], [3, 3], [5], [4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [4], [3, 3], [5], [5], [4]]
[[4], [3], [3, 3], [5], [5], [], [4], [4], [], [3, 3], [5], [5], [5], [5], [], [4], [4], [5], [3, 3], [4], [], [3, 3], [3, 3], [4], [4], [5], [5], [5], [5], [3, 3], [3, 3], [5], [5], [4], [5], [3, 3], [5], [3, 3], [5]]
[[5], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [5], [4], [3, 3], [3, 3], [], [5], [4], [5], [5], [4], [4], [5], [3, 3], [5], [5], [5], [5], [3, 3], [3], [5], [], [4], [5], [4], [4], [], [4], [], [5], [3, 3], [4], []]
[[], [4], [5], [4], [3, 3], [5], [5], [5], [4], [4], [], [5], [4], [], [5], [5], [], [3, 3], [5], [4], [3, 3], [3], [5], [3, 3], [4], [5], [5], [3, 3], [3, 3], [4], [5], [5], [3, 3], [3, 3], [3, 3], [4], [], [5], [5], [], [5]]
[[4], [5], [3, 3], [4], [3, 3], [3, 3], [5], [], [4], [3, 3], [4], [3, 3], [3, 3], [5], [5], [4], [], [], [], [], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [4], [5], [5], [], [5], [4], [], [5], [5], [3], [4]]
[[4], [], [3, 3], [5], [5], [5], [5], [4], [], [5], [], [5], [5], [5], [5], [], [3, 3], [4], [5], [5], [4], [5], [4], [3, 3], [3, 3], [], [3, 3], [5], [], [5], [3, 3], [3, 3], [], [4], [3, 3], [4], [], [4], [5], [5], [3, 3], [4], [3]]
[[4], [3], [3], [3], [4], [3], [3], [5], [3], [5], [5], [4], [4], [5], [3], [3], [3], [3], [5], [3], [3], [5], [4], [5], [4], [5], [5], [3], [5], [5], [3], [5], [3], [4], [5], [4], [3], [5], [5], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [180], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,45. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 3, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5, 5], [3, 3, 3, 3, 5, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 5], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [2, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], []]
[[5], [5, 5, 5], [4, 4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 3, 3, 3, 4], [2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 5], [4, 4, 4, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 4], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [5, 5, 5], [], [4, 4, 4, 4], [2, 2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [5, 5, 5]]
[[], [2, 2, 3, 3, 3, 3], [], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], []]
[[5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [5], [5, 5], [4, 5, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4]]
[[5, 5], [4, 4, 4], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5], [5, 5], [2, 2, 2, 2, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5], [5, 5], [4, 5]]
[[], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [4, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 5], [5, 5], [], [], [4, 4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5]]
[[], [3, 3, 3], [2, 5], [5, 5], [5, 5], [], [5, 5], [4, 4], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], []]
[[], [5, 5], [5, 5], [5, 5], [], [4, 4], [5, 5], [], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [4, 4], [3], [5, 5], [5, 5], [2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [4, 4], [], [3, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 5], [], [], [], [5, 5], [5, 5], [5, 5], [], [5, 5]]
[[5], [5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 5], [2, 2, 5], [4, 5], [4, 5], [5], [3, 5], [5], [5], [4, 5], [5], [2, 2, 5], [3, 5], [3, 5], [3, 5], [5], [4, 5], [5], [5], [2, 2, 5]]
[[5], [4, 5], [5], [5], [5], [5], [4, 4], [3, 5], [3, 5], [5], [5], [3, 5], [3, 5], [2, 2, 5], [2, 2, 5], [2, 5], [4, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [3, 5], [2, 2, 5], [5], [5], [3, 5], [5], [2, 5], [4, 4], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [3, 5], [2, 2, 5], [5], [3, 5], [4, 4], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 4], [5], [3, 3, 3], [5], [5], [5], [2, 2, 5], [5], [4, 4], [3, 5], [2, 5], [5], [5], [2, 2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 5], [2, 5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [2, 5], [3, 5], [2, 5], [2, 5], [3, 5], [2, 5], [5], [2, 2, 2, 2], [4, 4], [2, 5], [5], [5], [4, 4], [5], [5]]
[[5], [5], [2, 5], [5], [2, 3, 3], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [2, 3, 3], [4, 4], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [2, 5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [4, 4], [5], [5], [5], [2, 5], [5], [5], [3, 3], [2, 2, 2, 2], [2, 5], [5], [5], [5], [5], [5], [5], [2, 5], [4, 4], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [2, 2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [4, 4], [3, 3], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [2, 2], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 3, 3]]
[[5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [4, 4], [3, 3], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [3, 3], [], [5]]
[[5], [5], [3, 3], [5], [5], [2, 4], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [2, 4], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2], [5], [], [5], [5]]
[[4], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [2, 2], [5], [4], [5], [5], [2, 2, 2], [4], [5], [5], [5], [3, 3], [5], [5], [5], []]
[[5], [5], [4], [4], [5], [], [3, 3], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [4], [5], [2, 2], [4], [5], [5], [], [3, 3], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [4], [5], [4], [5], [], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2]]
[[5], [2, 2], [5], [5], [5], [5], [], [], [4], [2, 2, 2], [5], [], [4], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [2, 2, 2], [5], [5], [5], [5], [4], [2, 2, 2], [5], [3, 3], [5], [5]]
[[5], [2, 2], [], [], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [2, 2, 2], [4], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [4], [4], [5], [], [5], [4], [5], [5]]
[[5], [2, 2], [], [4], [5], [5], [5], [5], [4], [4], [3, 3], [5], [5], [5], [], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [5], [5], [5], [5], [5], [], [5], [3, 3], [], [2, 2, 2], [], [5], []]
[[5], [4], [5], [5], [2, 2, 2], [], [5], [4], [5], [5], [5], [4], [5], [5], [5], [], [5], [5], [5], [5], [], [5], [5], [5], [], [5], [], [2, 2, 2], [5], [5], [3, 3], [5], [5], [], [2, 2], [5], [5], [2, 2, 2], [4], [3, 3], [5], [], [5]]
[[4], [5], [], [3, 3], [5], [], [4], [4], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [2, 2], [3, 3], [5], [5], [5], [5], [], [], [5]]
[[5], [4], [5], [2, 2], [5], [3], [5], [3], [2, 2], [5], [5], [2, 2], [5], [5], [3], [5], [], [2], [3], [5], [2, 2], [5], [], [5], [5], [5], [2, 2], [], [5], [4], [5], [4], [5], [], [5], [5], [5], [5], [], [5], [5], [4], [5], [5], [5]]
-EndAllocation

Instance: [[1], [179], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,45. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 5, 5, 5, 5], [5], [5], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [3, 5, 5, 5], []]
[[], [5, 5, 5], [4, 4, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 3, 3, 3, 3, 3], [2, 5, 5, 5], [5, 5, 5], [3, 5, 5, 5], [5, 5, 5], [5], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 5], [4, 4, 5], [3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5], [4, 4], [2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3], [5, 5, 5], [5]]
[[], [3, 3, 3, 3, 3], [], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 4, 4, 5], [3]]
[[5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [3, 3, 5], [3, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 5]]
[[5], [4, 4, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 5], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [3, 3, 5], [4, 4, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [5, 5], [2, 2, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 5], [], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [3, 3, 3], [5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5], [3, 3, 3, 3], [5, 5], [5, 5], [], [], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5]]
[[], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2], [3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [4, 4], [2, 2, 2, 2, 2], []]
[[], [5, 5], [5, 5], [5, 5], [], [3, 5], [5, 5], [], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [4, 4], [3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [], [], [3, 3, 3], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5], [5, 5], [5], [5, 5], [5, 5], [], [3, 5]]
[[5], [3, 5], [5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [2, 2, 5], [3, 5], [4, 5], [5], [3, 5], [5], [5], [4, 5], [5], [2, 2, 5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [5], [5], [2, 2, 5]]
[[5], [3, 5], [5], [5], [5], [5], [4, 4], [3, 5], [3, 5], [5], [5], [3, 5], [3, 5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [3, 5], [5]]
[[5], [5], [3, 5], [5], [5], [3, 5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 5], [5], [3, 5], [2, 2, 5], [5], [3, 5], [4, 4], [5], [5], [3, 5], [3, 5]]
[[5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [3, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [3, 3, 3], [5], [5], [5], [2, 2, 5], [5], [4, 4], [3, 3, 3], [5], [5], [5], [2, 2, 5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 5], [2, 5], [3, 3], [5], [5], [5], [3, 5], [5], [5], [5], [5], [3, 5], [2, 5], [2, 5], [3, 5], [5], [5], [2, 2, 2, 2], [4, 4], [2, 5], [5], [5], [2, 5], [3, 3], [5]]
[[5], [5], [2, 5], [5], [2, 3, 3], [5], [3, 3], [5], [5], [5], [2, 5], [5], [5], [5], [2, 3, 3], [5], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5], [4, 4]]
[[5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [3, 3], [2, 2, 2, 2], [2, 5], [5], [3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 5], [2, 2, 2, 2], [5]]
[[5], [5], [2, 2, 2, 2], [3, 3], [3, 5], [5], [5], [3, 3], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [2, 3], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [4, 4], [3, 3], [2, 2, 2, 2], [5], [5], [5], [2, 2], [5], [3, 3], [], [3, 3]]
[[5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [3], [5], [5], [5], [5], [5], [5], [3, 3], [2, 2, 2], [5], [5], [5], [5], [2, 4], [5], [5], [5], [3], [3, 3], [5], [5], [5], [5], [5], [3]]
[[], [3, 3], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [3], [5], [2], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [5], [4], [5], [5], [], [3, 3], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [2], [5], [3, 3], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [3], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2], [4], [3, 3], [5], [], [3, 3], [5], [5], [5], [5], [2, 2, 2], [5], [3], [5], [5], [3, 3], [5], [4], [5], [], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2]]
[[5], [2], [5], [5], [5], [5], [], [3], [4], [2, 2, 2], [5], [], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [2, 2, 2], [5], [5], [3, 3], [5], [4], [2, 2, 2], [5], [3, 3], [5], [5]]
[[5], [2], [], [], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [2, 2, 2], [4], [5], [2, 2, 2], [5], [5], [5], [5], [3], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [4], [5], [], [5], [5], [5], [5]]
[[5], [2], [], [5], [5], [5], [5], [5], [5], [4], [3, 3], [5], [5], [5], [], [2, 2, 2], [5], [3, 3], [5], [5], [5], [5], [5], [5], [3], [5], [5], [2, 2, 2], [4], [5], [5], [5], [5], [5], [], [5], [3, 3], [], [2, 2, 2], [], [5], []]
[[5], [], [5], [5], [2, 2, 2], [], [5], [4], [3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [], [5], [], [2, 2, 2], [5], [5], [3, 3], [5], [5], [], [2], [3, 3], [5], [2, 2, 2], [4], [3, 3], [5], [], [5]]
[[5], [3], [], [3, 3], [5], [], [5], [4], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [], [], [5], [5], [5], [5], [5], [5], [], [5], [3, 3], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [2], [3, 3], [5], [5], [5], [5], [], [], [5]]
[[5], [], [5], [2, 2], [5], [3], [5], [3], [2, 2], [5], [], [2, 2], [5], [5], [3], [5], [3], [5], [3], [5], [2, 2], [5], [], [5], [5], [5], [2, 2], [3], [5], [5], [5], [4], [5], [], [5], [5], [5], [5], [], [5], [5], [4], [5], [3], [5]]
-EndAllocation

Instance: [[1], [178], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,45. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 5, 5, 5], [5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4], [5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], []]
[[], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [3, 3, 4, 4, 4], [5, 5, 5]]
[[], [4, 4, 4, 4], [3, 3, 3], [4, 4, 4, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4]]
[[], [3, 3, 3, 3, 3], [], [5, 5, 5], [], [3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [4, 4, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5], [4, 4, 4]]
[[], [4, 4, 4], [], [4, 4, 5], [3, 5, 5], [3, 5, 5], [3, 3, 5], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5], [5, 5], [4, 4, 5], [], [5, 5], [3, 3, 3, 3], [3, 5, 5]]
[[], [3, 3, 3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 5], [], [5], [], [4, 4, 4], [4, 4, 4]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [4, 4, 4], [5, 5], [4, 4], [5, 5], [], [], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3], [5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [4, 4], [3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [], []]
[[], [3, 3, 3], [5, 5], [4, 4], [], [], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [4], [4, 4], [3, 3, 3], [3, 3, 3]]
[[], [], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [4, 4], [4, 4], [3, 3, 3], [5, 5], [], [], [5, 5], [4, 4], [5, 5], [5, 5], [4], [4, 4], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [4, 4], [4, 4], [4, 4], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [], [5, 5], [4], [5, 5], [], [4, 4], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3]]
[[5], [3, 3, 3], [3, 5], [3, 4], [5], [5], [5], [5], [5], [4, 4], [4, 4], [3, 5], [3, 3, 3], [5], [3, 5], [4, 4], [5], [3, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5], [4, 4], [5], [3, 5], [5]]
[[5], [4, 4], [4, 4], [5], [5], [4, 5], [4, 4], [3, 3, 3], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [5], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5]]
[[5], [4, 4], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3], [4, 5], [5], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [4, 4], [5], [5], [3, 5], [4, 4]]
[[5], [], [5], [5], [3, 3, 3], [], [4, 4], [4, 4], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 5], [3, 3, 3], [5], [5], [4, 4], [5], [5], [4, 4], [3, 3, 3], [5], [5], [5], [5], [5], [5]]
[[5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [5], [5], [4, 4], [3, 3], [5], [3, 5], [3, 3], [5], [5], [5], [4, 4], [5], [5], [3, 3], [5], [3, 3], [4]]
[[5], [5], [5], [4], [3, 3], [5], [3, 3], [5], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [4, 4], [4, 4], [4, 4], [4, 4]]
[[5], [4], [5], [4, 4], [5], [3, 3], [5], [5], [4, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [5], [3, 3], [5], [], [4, 4], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [4, 4], [3, 3]]
[[], [5], [4], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 5], [5], [5], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], [4, 4], [4, 4], [4, 4], [], [5], [5], [5], [5], [3, 3], [3, 5], [4, 4], [3, 3], [5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [4, 4], [4, 4], [3, 3], [], [5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [4], [], [5], [3, 5], [5], [], [5], [3, 5], [5], [3, 3]]
[[5], [3, 3], [5], [5], [5], [5], [4, 4], [], [5], [5], [4, 4], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4, 4], [5], [4], [], [5], [5], [3, 3], [4, 4], [3, 3], [4, 4], [5], [3, 3], [5], [], [5], [3, 3], [], [3, 3]]
[[4], [4], [3, 3], [5], [5], [4], [5], [5], [3, 3], [4], [4], [3, 3], [4], [4], [5], [5], [5], [4], [3, 3], [5], [5], [4], [5], [5], [4], [4], [5], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5]]
[[4], [3, 3], [5], [3, 3], [5], [3, 3], [4], [5], [3, 3], [4], [5], [5], [5], [5], [4], [4], [3, 3], [4], [4], [3, 3], [3, 3], [3, 3], [5], [5], [4], [5], [4], [5], [4], [5], [5], [5], [3, 3], [5], [4], [5], []]
[[5], [5], [4], [4], [5], [], [3, 3], [5], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [3, 3], [5], [4], [4], [], [4], [5], [4], [4], [3, 3], [4], [4], [5], [5], [4], [3, 3], [5]]
[[4], [3, 3], [4], [3, 3], [3, 3], [4], [3, 3], [3, 3], [], [3, 3], [5], [5], [], [5], [4], [5], [3, 3], [5], [4], [3, 3], [5], [4], [4], [4], [5], [4], [5], [5], [], [3, 3], [4], [5], [5], [5], [5], [4], [5], [5], [5]]
[[5], [3, 3], [5], [4], [5], [5], [], [3, 3], [4], [5], [5], [4], [4], [4], [4], [3, 3], [3, 3], [5], [4], [5], [5], [4], [4], [5], [5], [], [], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4], [4], [5], [5], [3, 3], [3, 3], []]
[[5], [5], [], [4], [5], [], [4], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [4], [4], [], [5], [5], [5], [3, 3], [3, 3], [5], [4], [5], [5], [], [5], [3, 3], [5], [4], [3, 3], [5], [4], [4], [4], [4], [3, 3], [], [4], [5], [5]]
[[5], [5], [4], [4], [4], [5], [3, 3], [5], [4], [4], [3, 3], [5], [4], [4], [], [5], [5], [3, 3], [5], [5], [5], [5], [], [5], [3, 3], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [4], [], [3, 3], [3, 3], [], [3, 3], [], [5], [4]]
[[4], [4], [3, 3], [], [5], [3, 3], [5], [4], [3, 3], [5], [5], [4], [3, 3], [5], [4], [], [5], [5], [5], [5], [], [3, 3], [], [], [], [4], [4], [5], [5], [5], [3, 3], [4], [4], [4], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [], [5]]
[[4], [3, 3], [3, 3], [3, 3], [5], [], [4], [4], [4], [5], [5], [], [4], [5], [4], [5], [4], [5], [], [4], [5], [5], [3, 3], [], [5], [5], [], [], [3, 3], [5], [5], [5], [], [5], [], [3, 3], [3, 3], [3, 3], [4], [5], [5], [3, 3], [4], [4]]
[[5], [4], [4], [3], [5], [3], [5], [3], [3], [3], [4], [3], [4], [3], [3], [4], [3], [5], [3], [5], [3], [5], [3], [4], [5], [5], [5], [3], [4], [4], [5], [4], [5], [3], [5], [3], [5], [3], [3], [4], [5], [4], [5], [3], [5]]
-EndAllocation

Instance: [[1], [177], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,45. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5, 5], [], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [3], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], []]
[[], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [3, 3, 3, 4, 4], [5, 5, 5]]
[[], [4, 4, 4, 4], [3, 3, 3, 3], [4, 4, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 5]]
[[], [3, 3, 3, 3, 3], [], [5, 5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4], [5, 5, 5], [5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3]]
[[], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 4, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5], [4, 4, 4]]
[[], [4, 4, 4], [], [4, 5], [3, 5, 5], [3, 5, 5], [3, 3, 5], [3, 3, 3, 3], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 5, 5], [5, 5], [], [3, 3, 3, 3]]
[[], [3, 5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5], [5, 5], [3, 4, 5], [], [5, 5], [3, 3, 3, 3], [3, 5, 5]]
[[], [3, 3, 3, 3], [4, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3], [], [5], [], [4, 4, 4], [4, 4, 4]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [4, 4, 4], [5, 5], [4], [5, 5], [], [], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3], [5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [4], [3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [], []]
[[], [3, 3, 3], [5, 5], [4, 4], [3], [], [5, 5], [3, 3, 3], [4, 4], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [3, 3, 3], [3, 3, 3]]
[[], [], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [4, 4], [4, 4], [3, 3, 3], [5, 5], [3], [], [5, 5], [4, 4], [5, 5], [5, 5], [], [4, 4], [3, 3, 3]]
[[], [5, 5], [3, 3, 3], [4, 4], [4, 4], [4, 4], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3], [5, 5], [], [5, 5], [], [4, 4], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3]]
[[5], [3, 3, 3], [3, 5], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [4, 4], [3, 5], [3, 3, 3], [5], [3, 5], [4, 4], [5], [5], [3, 3, 3], [3, 3, 3], [4, 4], [5], [4, 4], [5], [3, 5], [5]]
[[5], [4, 4], [4, 4], [5], [5], [5], [4, 4], [3, 3, 3], [3, 3, 3], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [3, 5], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5]]
[[5], [4, 4], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [4, 4], [5], [5], [3, 5], [4, 4]]
[[5], [], [5], [5], [3, 3, 3], [], [4, 4], [4, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 5], [3, 3, 3], [5], [5], [4, 4], [5], [3, 5], [4, 4], [3, 3, 3], [5], [5], [5], [], [5], [5]]
[[5], [3, 3], [4, 4], [3, 3], [5], [5], [3, 5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [3, 5], [5], [4, 4], [3, 3], [5], [3, 5], [3, 3], [5], [5], [5], [4, 4], [5], [], [3, 3], [5], [3, 3], [5]]
[[5], [5], [5], [5], [3, 3], [5], [3, 3], [], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [3, 5], [3, 3], [3, 3], [4, 4], [4, 4], [4, 4], [4, 4]]
[[5], [5], [5], [4, 4], [5], [3, 3], [5], [5], [4, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [5], [3, 3], [5], [], [4, 4], [3, 3], [3], [5], [3, 3], [5], [5], [5], [5], [3, 3], [4, 4], [3, 3]]
[[], [5], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 5], [5], [5], [3, 3], [5], [], [5], [5], [3, 3], [3, 3], [4, 4], [4, 4], [4, 4], [], [5], [5], [5], [5], [3, 3], [3, 3], [4, 4], [3, 3], [5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [], [4, 4], [3, 3], [5], [5], [3, 3], [3, 3], [4, 4], [4, 4], [3, 3], [], [5], [4, 4], [3, 5], [3, 3], [3, 3], [5], [3, 3], [5], [], [], [5], [3, 5], [5], [], [5], [3, 5], [5], [3, 3]]
[[5], [3, 3], [5], [5], [5], [5], [4, 4], [], [5], [3, 5], [4, 4], [3, 3], [], [3, 3], [3, 3], [5], [5], [4, 4], [5], [5], [], [5], [5], [3, 3], [4, 4], [3, 3], [4, 4], [5], [3, 3], [5], [], [5], [3, 3], [], [3, 3]]
[[4], [4], [3, 3], [5], [5], [4], [5], [5], [3, 3], [4], [4], [3, 3], [4], [4], [5], [5], [5], [4], [3, 3], [5], [5], [4], [5], [5], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [5], [3]]
[[4], [3, 3], [5], [3, 3], [5], [3, 3], [4], [5], [3, 3], [4], [5], [5], [5], [5], [4], [5], [3, 3], [4], [4], [3, 3], [3, 3], [3, 3], [5], [5], [4], [5], [4], [5], [4], [5], [5], [5], [3, 3], [], [4], [5], [3]]
[[5], [5], [4], [4], [5], [], [3, 3], [3], [3, 3], [3, 3], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [5], [5], [5], [3, 3], [5], [4], [4], [], [5], [5], [4], [4], [3, 3], [4], [4], [5], [5], [4], [3, 3], [5]]
[[4], [3, 3], [4], [3, 3], [3, 3], [4], [3, 3], [3, 3], [3], [3, 3], [5], [5], [], [5], [4], [5], [3, 3], [5], [4], [3, 3], [5], [4], [4], [4], [5], [4], [5], [5], [], [3, 3], [4], [5], [5], [5], [5], [], [5], [5], [5]]
[[5], [3, 3], [5], [4], [5], [5], [], [3, 3], [4], [5], [5], [4], [4], [], [4], [3, 3], [3, 3], [5], [4], [5], [5], [4], [4], [5], [5], [], [3], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4], [4], [5], [5], [3, 3], [3, 3], []]
[[5], [5], [], [4], [5], [], [4], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [4], [4], [], [5], [5], [5], [3, 3], [3, 3], [5], [4], [5], [5], [], [5], [3, 3], [5], [3], [3, 3], [5], [4], [4], [4], [4], [3, 3], [], [4], [5], [5]]
[[5], [5], [4], [4], [4], [5], [3, 3], [5], [4], [4], [3, 3], [5], [4], [4], [], [5], [3], [3, 3], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [], [4], [3, 3], [5], [3, 3], [4], [4], [], [3, 3], [3, 3], [], [3, 3], [], [5], []]
[[4], [4], [3, 3], [], [5], [3, 3], [5], [4], [3, 3], [5], [5], [4], [3, 3], [5], [4], [], [5], [5], [5], [5], [], [3, 3], [], [], [], [4], [4], [5], [5], [3], [3, 3], [5], [4], [4], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [], [5]]
[[4], [3, 3], [3, 3], [3, 3], [5], [], [4], [4], [4], [5], [5], [], [4], [5], [4], [5], [4], [5], [], [4], [5], [5], [3, 3], [], [5], [5], [], [], [3, 3], [5], [5], [5], [], [5], [3], [3, 3], [3, 3], [3, 3], [4], [5], [5], [3, 3], [], [4]]
[[5], [4], [4], [3], [5], [3], [5], [3], [3], [3], [4], [3], [5], [3], [3], [4], [3], [5], [3], [5], [3], [5], [3], [4], [5], [5], [5], [3], [4], [4], [5], [4], [5], [3], [5], [3], [5], [3], [3], [4], [3], [4], [5], [3], [5]]
-EndAllocation

Instance: [[1], [184], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,46. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,46:
-StartAllocation
[[1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5]]
[[1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], []]
[[1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], []]
[[1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5], []]
[[1, 2, 2, 2, 3, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 4, 4, 4], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5], []]
[[1, 1, 2, 2, 2, 5, 5, 5, 5], [1, 1, 1, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5], []]
[[1, 2, 2, 2, 3, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5, 5], [3, 3, 3, 3, 3, 4, 4], [4, 4, 4, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5], [], []]
[[1, 2, 2, 2, 5, 5, 5], [1, 1, 1, 1, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 4], [], []]
[[2, 2, 2, 3, 4, 4, 4], [3, 4, 4, 5, 5], [1, 1, 1, 3, 5, 5, 5], [3, 3, 3, 5, 5], [5, 5, 5, 5], [1, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [1, 5, 5, 5, 5], [], []]
[[1, 2, 2, 2, 3, 5, 5], [1, 1, 4, 4, 5, 5], [1, 1, 3, 5, 5, 5], [3, 3, 3, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5], [3, 4, 4, 4, 5], [], [], []]
[[1, 1, 2, 2, 2, 5, 5], [1, 1, 1, 3, 4, 4, 4], [4, 4, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [], []]
[[2, 2, 2, 3, 4, 4], [1, 1, 3, 4, 4, 4], [1, 1, 1, 3, 5, 5], [3, 3, 3, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [], []]
[[1, 1, 2, 2, 5, 5], [1, 1, 3, 5, 5], [4, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [1, 2, 4, 4, 5], [5, 5, 5], [3, 3, 3, 5], [3], [], [3, 4, 4, 5], [], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 2, 5, 5], [2, 2, 4, 4], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [1, 3, 5, 5], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 2, 5, 5], [2, 2, 4, 4], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [], []]
[[1, 2, 5, 5], [1, 2, 2, 3, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4], [], []]
[[1, 2, 5, 5], [1, 2, 2, 3, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4], [], [], []]
[[1, 1, 2, 4, 4], [3, 4, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3], [], [], [1, 2, 4, 5], [], [1, 2, 4, 5]]
[[2, 5, 5], [2, 2, 3, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [], [], [], []]
[[2, 4, 4], [1, 1, 2, 2, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], []]
[[2, 3, 5], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [2, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3], [], [], [], [], [2, 3, 5], []]
[[2, 4, 4], [1, 1, 2, 2, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], [], [], []]
[[2, 4, 4], [1, 1, 2, 2, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [3, 3], [], [], [], [], [], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [2, 2, 5], [2, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 2, 5], [3, 5], [2, 3, 4], [2, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 2, 5], [3, 5], [2, 3, 4], [2, 4], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 2, 5], [3, 5], [2, 3, 4], [2, 4], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], []]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4]]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], []]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [5], [], []]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], [5], []]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], [], []]
[[1, 2, 5], [1, 2, 5], [1, 1, 2, 4], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4], [], [], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 5], [1, 5], [1, 4], [1, 5], [4], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [3], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], [], []]
[[1, 5], [2, 4], [1, 5], [1, 5], [2, 4], [1, 2, 3], [1, 3], [4], [5], [4], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [], [], [5], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], [], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], [], [], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], [], [], [], [], [], []]
[[2, 4], [2, 4], [1, 2, 3], [1, 4], [4], [4], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3], [], [], [], [], [], [], [], [], []]
[[2, 3], [2, 3], [2, 3], [1, 3], [3], [3], [1, 4], [1, 4], [1, 4], [1, 4], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [], [], [], [], [], []]
-EndAllocation

Instance: [[1], [183], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,46. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,46:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [3, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 4, 4, 4, 4, 5], [5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5]]
[[], [3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2], [5, 5, 5, 5, 5], [5, 5]]
[[], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [2, 5, 5, 5, 5], [3, 3, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [], [5], [3, 3, 5, 5, 5]]
[[], [2, 2, 2], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4], [3, 3], [5, 5, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 5, 5], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5]]
[[], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [2, 2, 2, 2, 2, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [5, 5], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3]]
[[5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [3, 4, 5]]
[[], [2, 2, 2, 2, 2, 4], [2, 5, 5], [5, 5], [3, 3, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [5], [5, 5], [5, 5], [4, 5], [2, 5, 5], [2, 5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 5], [2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5], [2, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 3, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 5], [], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [4, 4, 4], [2, 5, 5], [5, 5], [3, 3, 5], [5, 5], [5, 5], [5, 5], [4, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [], [2, 5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [], [5, 5], [4, 5], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2, 2], [3, 3, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [4, 4], [5, 5], [2, 2, 2], [5, 5], [3, 3], [2, 2, 2, 2, 2]]
[[], [], [5, 5], [4, 4], [5, 5], [5, 5], [2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [4, 4], [5, 5], [3, 3], [], [5, 5], [5, 5]]
[[], [4, 4], [2, 2, 2, 2, 2], [4, 4], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2], [5, 5]]
[[], [2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [3, 3], [], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4], [5], [5, 5], [], [], [5, 5]]
[[5], [4, 5], [2, 2, 5], [2, 2, 5], [5], [5], [4, 5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [5], [2, 2, 5], [2, 5], [5], [5], [5], [3, 5], [5]]
[[5], [2, 2, 5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [3, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [3, 5], [2, 2, 5], [5], [5], [2, 5]]
[[5], [5], [3, 5], [5], [5], [2, 2, 5], [3, 5], [4, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 2, 5], [4, 5], [5], [2, 2, 5], [4, 4], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [2, 5], [5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [4, 5], [5], [5], [5], [3, 5], [3, 5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [2, 5], [5], [2, 2, 2, 2], [4, 4], [5], [2, 5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [5], [2, 5], [3, 5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [3, 5], [4, 4]]
[[5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [3, 3]]
[[5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [4, 4], [], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [5], [5], [], [2, 2, 2, 2], [5], [5], [5], [2, 5], [5], [5], [], [5], [5], [5], [5], [2, 2, 2, 2], [3, 3], [2, 2, 2, 2], [4, 4], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[], [5], [2, 5], [5], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [3, 3], [2, 2, 2, 2], [2, 2, 2, 2], [5], []]
[[4], [5], [5], [5], [4], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [2], [5], [5], [3, 3], [5], [4], [5]]
[[5], [5], [5], [], [5], [4], [3, 3], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2], [5], [5], [4], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [5], [5], [], [5], [], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [2, 2, 2], [5], [], [2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [2, 4], [5], [4], [5], [5]]
[[5], [5], [5], [], [5], [5], [5], [4], [5], [5], [], [5], [5], [5], [], [5], [4], [2, 4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [], [3, 3], [5]]
[[5], [5], [5], [], [2, 2, 2], [5], [4], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [5], [4], [5], [5], [2], [5], [5], [5], [5], [5], [], [5], [], [5], [5], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [3, 3]]
[[], [5], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 4], [5], [4], [], [5], [5], [4], [3, 3], [5], [5], [], [2, 2, 2], [5], [5], [5], [5], [], [4], [5], [5], [], [5]]
[[5], [5], [5], [2, 2, 2], [2], [4], [5], [5], [2, 2, 2], [4], [5], [5], [], [2, 2, 2], [4], [5], [5], [5], [5], [5], [5], [3, 3], [5], [4], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [5], [2, 2, 2], [5], [], [5], []]
[[], [], [5], [5], [], [5], [5], [2, 2, 2], [4], [2, 2, 2], [4], [5], [2, 2, 2], [5], [4], [5], [5], [], [], [2, 2, 2], [4], [5], [], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [], [5], [2], [5], [5], [5], [5], [5], [5]]
[[], [], [], [5], [2, 2, 2], [5], [5], [], [5], [5], [], [5], [5], [5], [], [5], [2], [5], [5], [5], [5], [5], [2, 4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 4], [2, 2, 2], [5], [3, 3], [5], [5], [2, 4], [], [5], [5], [], [], [4], [5], [5]]
[[5], [5], [5], [], [], [2, 2], [5], [5], [5], [5], [2, 2], [5], [], [4], [2, 2], [5], [5], [3], [5], [5], [5], [], [], [2, 2], [5], [5], [5], [5], [5], [4], [5], [2], [5], [5], [2, 2], [5], [5], [4], [2, 2], [5], [], [4], [5], [5], [3], [5]]
-EndAllocation

Instance: [[1], [182], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,46. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,46:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5], [3, 4, 4, 4, 4, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [5], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3], [5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 4, 4], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3], [4], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3], [5], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [3, 3, 3, 3, 3], [3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [5, 5, 5], [4, 4, 4, 4], [5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [3, 5, 5], [5, 5], [4, 4], [4, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], []]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [5, 5]]
[[], [], [5, 5], [4, 4, 4], [3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [], [], [5, 5], [3, 3, 3, 3], [5, 5], [], [5, 5], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [], [], [3, 3], [], [4, 4, 4], [5, 5]]
[[], [], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [], [4, 4], [3, 3, 3]]
[[], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [4, 4], [4, 4], [3, 3, 3], [], [5, 5], [4, 4], [5, 5]]
[[], [], [5, 5], [4, 4], [], [3, 3, 3], [4, 4], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], []]
[[5], [4, 5], [5], [3, 3, 3], [5], [4, 5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 5], [4, 4], [4, 4], [4, 4], [3, 3, 3], [4, 5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [3, 3, 3], [5], [5]]
[[5], [4, 4], [4, 5], [5], [5], [5], [5], [3, 3], [3, 3, 3], [4, 4], [4, 4], [5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [4, 5], [3, 5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [5]]
[[], [5], [5], [4, 5], [4, 4], [5], [5], [4, 4], [4, 5], [4, 4], [5], [5], [3, 3, 3], [5], [4, 4], [5], [4, 5], [5], [], [3, 3, 3], [5], [3, 3, 3], [4, 5], [5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3]]
[[], [5], [3, 3, 3], [5], [3, 3, 3], [5], [4, 5], [5], [5], [5], [5], [], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [4, 5], [5], [5], [4, 4], [5], [4, 4], [3, 3, 3], [4, 4], [5], [5], [5]]
[[5], [5], [5], [3, 5], [4, 4], [4, 4], [3, 3, 3], [4, 4], [4, 4], [], [], [], [5], [3, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [], [5], [5], [4, 5], [4, 4], [5], [5], [4, 5], [5]]
[[5], [3, 5], [5], [3, 5], [5], [3, 3], [4, 4], [5], [4, 4], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4, 4], [4, 4], [], [], [4, 4], [5], [3, 5], [3, 5], [4, 4], [3, 3]]
[[5], [5], [4, 4], [], [4, 4], [5], [3, 5], [], [4, 4], [5], [5], [3, 3], [3, 3], [4, 4], [5], [5], [5], [4, 4], [3, 3], [3, 5], [3, 3], [3, 3], [5], [4, 4], [5], [3, 3], [3, 3], [3, 3], [5], [5], [5], [5]]
[[5], [3, 3], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 5], [], [5], [5], [3, 5], [3, 3], [5], [4, 4], [], [5], [5], [4, 4], [5], [], [4, 4], [4, 4], [5], [5], [5], [3, 3], [5]]
[[5], [5], [4, 4], [], [5], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 5], [5], [], [4, 4], [3, 5], [5], [4, 4], [4, 4], [5], [3, 5], [], [], [4, 4], [], [3, 5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [3, 3]]
[[5], [5], [], [], [4, 4], [], [3, 3], [5], [3, 5], [5], [], [3, 5], [3, 3], [4, 4], [5], [3, 3], [4, 4], [5], [3, 3], [3, 3], [5], [3, 5], [5], [4, 4], [5], [3, 3], [], [3, 5], [], [], [3, 5], [5], [4, 4], [4, 4], [3, 5]]
[[], [], [3, 3], [5], [3, 3], [], [5], [5], [4, 4], [3, 3], [4, 4], [5], [5], [5], [3, 3], [], [4, 4], [5], [5], [3, 3], [5], [5], [4, 4], [3, 3], [], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [5], [5]]
[[5], [4], [5], [4], [3, 3], [4], [5], [5], [5], [4], [3, 3], [3, 3], [4], [5], [4], [5], [5], [4], [5], [5], [3, 3], [5], [5], [5], [4], [4], [3, 3], [4], [5], [5], [3, 3], [3, 3], [4], [3, 3], [5], [4], [3, 3]]
[[4], [3, 3], [3, 3], [5], [5], [], [5], [5], [4], [4], [5], [5], [5], [5], [4], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [4], [4], [3, 3], [5], [4], [3, 3], [4], [4], [3, 3], [3, 3], [5], [5], [4], [4], [5]]
[[5], [4], [5], [5], [5], [4], [5], [3, 3], [5], [3, 3], [5], [4], [4], [4], [5], [4], [5], [4], [5], [5], [3, 3], [4], [3, 3], [4], [3, 3], [3, 3], [], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [5], [4]]
[[5], [5], [5], [3, 3], [5], [4], [4], [3, 3], [4], [3, 3], [3, 3], [], [5], [4], [3, 3], [5], [4], [5], [], [4], [4], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [4], [5], [3, 3], [4], [5], [3, 3], [5], [4], [5], [], [4]]
[[5], [3, 3], [], [4], [3, 3], [5], [3, 3], [], [5], [4], [4], [5], [4], [5], [5], [4], [5], [4], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [], [5], [4], [4], [4], [5], [4], [5], [5], [4], [5], [3, 3], [5], [3, 3], [3, 3], []]
[[5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [3, 3], [4], [4], [5], [5], [4], [3, 3], [3, 3], [4], [5], [5], [3, 3], [4], [4], [5], [5], [4], [], [3, 3], [], [3, 3], [4], [4], [4], [5], [], [3, 3], [5], [], [], [4], [5], [5], [5]]
[[5], [5], [5], [4], [], [4], [], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [3, 3], [4], [5], [5], [4], [4], [5], [5], [], [], [5], [4], [4], [5], [4], [3, 3], [3, 3], [4], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [5], [], [], [4]]
[[], [3, 3], [4], [5], [5], [5], [3, 3], [5], [4], [4], [5], [5], [5], [5], [], [3, 3], [4], [3, 3], [4], [], [], [], [5], [4], [4], [5], [5], [3, 3], [4], [4], [5], [5], [4], [5], [4], [], [5], [3, 3], [], [3, 3], [4], [5], [3, 3], [3, 3]]
[[4], [3, 3], [], [4], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [4], [5], [5], [5], [4], [3, 3], [], [5], [4], [5], [5], [4], [], [3, 3], [5], [], [3, 3], [5], [4], [5], [], [], [3, 3], [5], [4], [5], [], [4], [5], [5], [3, 3], [4], [4]]
[[3], [4], [5], [3], [4], [4], [5], [5], [3], [5], [5], [4], [4], [3], [3], [5], [3], [4], [4], [3], [4], [4], [3], [5], [5], [3], [3], [3], [5], [5], [3], [3], [3], [3], [4], [3], [4], [5], [5], [5], [5], [4], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [181], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,46. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,46:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5], [3, 4, 4, 4, 4, 4, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 4], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 4], [], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5]]
[[], [3, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 4, 4, 4], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5], [5, 5, 5], [4, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3], [4], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [3, 3, 3], [], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [3, 3, 3, 3, 3], [3, 3, 3, 4], [3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [5, 5, 5], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5]]
[[], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 4], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [3, 5, 5], [5, 5], [4, 4, 4], [4, 5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5], [5, 5], [5, 5], []]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [4, 4, 4], [5, 5], [4, 5], [], [], [3, 3, 3, 3], [3, 3, 3, 3], [3, 5, 5], [5, 5]]
[[], [], [5, 5], [4, 4, 4], [3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [4, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [3, 3, 4], [5, 5], [5, 5], [4, 4, 4], [5], [4, 4, 4], [], [], [5, 5], [3, 3, 3, 3], [5, 5], [], [5, 5], [4, 4, 4]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 4], [5, 5], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [], [], [3, 3, 3, 3], [], [4, 4, 4], [5]]
[[], [], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [4, 4], [5, 5], [4, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [], [4, 4], [3, 3, 3]]
[[], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [4, 4], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [], [3, 3, 4], [4, 4], [4, 4], [3, 3, 3], [3], [5, 5], [4, 4], [5, 5]]
[[], [4], [5, 5], [4, 4], [], [3, 3, 3], [4, 4], [4, 4], [5, 5], [], [5, 5], [3, 3, 3], [4, 4], [4, 4], [5, 5], [5, 5], [5], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], []]
[[5], [4, 5], [5], [3, 3, 3], [5], [4, 5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 4], [4, 4], [4, 4], [4, 4], [3, 3, 3], [4, 5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [3, 3, 3], [5], [5]]
[[5], [4, 4], [4, 4], [5], [5], [5], [5], [3, 3], [3, 3, 3], [4, 4], [4, 4], [5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [4, 5], [3, 5], [5], [3, 3, 3], [5], [5], [4, 4], [3, 3, 3], [5]]
[[], [5], [], [4, 5], [4, 4], [5], [5], [4, 4], [4, 5], [4, 4], [5], [5], [3, 3, 3], [5], [4, 4], [5], [4, 5], [5], [], [3, 3, 3], [5], [3, 3, 3], [4, 5], [4, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3]]
[[], [5], [3, 3, 3], [5], [3, 3, 3], [5], [4, 5], [5], [5], [5], [5], [], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [4, 5], [], [5], [4, 4], [5], [4, 4], [3, 3, 3], [4, 4], [4, 5], [5], [5]]
[[5], [5], [5], [3, 5], [4, 4], [4, 4], [3, 3, 3], [4, 4], [4, 4], [], [], [], [5], [3, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5], [], [5], [5], [4, 5], [4, 4], [5], [5], [4, 4], [5]]
[[5], [3, 5], [5], [3, 5], [5], [3, 4], [4, 4], [], [4, 4], [3, 5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4, 4], [4, 4], [], [], [4, 4], [5], [3, 5], [3, 5], [4, 4], [3, 3]]
[[5], [5], [4, 4], [], [4, 4], [3, 5], [3, 5], [], [4, 4], [5], [5], [3, 3], [3, 4], [4, 4], [5], [5], [5], [4, 4], [3, 3], [3, 5], [3, 3], [3, 3], [5], [4, 4], [5], [3, 3], [3, 3], [3, 3], [], [5], [5], [5]]
[[], [3, 3], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [3, 5], [4], [5], [5], [3, 5], [3, 3], [5], [4, 4], [], [5], [5], [4, 4], [5], [], [4, 4], [4, 4], [5], [5], [5], [3, 3], [5]]
[[5], [5], [4, 4], [], [3, 5], [3, 4], [3, 3], [5], [5], [3, 3], [5], [3, 5], [5], [], [4, 4], [3, 5], [5], [4, 4], [4, 4], [], [3, 5], [], [], [4, 4], [], [3, 5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [3, 3], [3, 3]]
[[5], [], [], [], [4, 4], [], [3, 3], [5], [3, 5], [5], [], [3, 5], [3, 3], [4, 4], [5], [3, 3], [4, 4], [5], [3, 3], [3, 3], [5], [3, 5], [5], [4, 4], [5], [3, 3], [], [3, 5], [4], [], [3, 5], [5], [4, 4], [4, 4], [3, 5]]
[[], [4], [3, 3], [5], [3, 3], [], [5], [5], [4, 4], [3, 3], [4, 4], [5], [5], [5], [3, 3], [], [4, 4], [5], [5], [3, 3], [5], [], [4, 4], [3, 3], [], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [5], [5]]
[[5], [4], [5], [4], [3, 3], [4], [4], [5], [5], [4], [3, 3], [3, 3], [4], [5], [4], [5], [5], [4], [5], [5], [3, 3], [5], [5], [5], [4], [4], [3, 3], [4], [5], [5], [3, 3], [3, 3], [4], [3, 3], [5], [4], [3, 3]]
[[4], [3, 3], [3, 3], [5], [5], [], [5], [5], [4], [4], [5], [5], [5], [4], [4], [5], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [4], [4], [3, 3], [5], [4], [3, 3], [4], [4], [3, 3], [3, 3], [5], [5], [4], [4], [5]]
[[4], [4], [5], [5], [5], [4], [5], [3, 3], [5], [3, 3], [5], [4], [4], [4], [5], [4], [5], [4], [5], [5], [3, 3], [4], [3, 3], [4], [3, 3], [3, 3], [], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [5], [4]]
[[5], [5], [5], [3, 3], [5], [4], [4], [3, 3], [4], [3, 3], [3, 3], [], [5], [4], [3, 3], [5], [4], [5], [], [4], [4], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [4], [4], [3, 3], [4], [5], [3, 3], [5], [4], [5], [], [4]]
[[5], [3, 3], [], [4], [3, 3], [5], [3, 3], [], [5], [4], [4], [5], [4], [4], [5], [4], [5], [4], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [], [5], [4], [4], [4], [5], [4], [5], [5], [4], [5], [3, 3], [5], [3, 3], [3, 3], []]
[[5], [3, 3], [5], [5], [3, 3], [5], [5], [4], [3, 3], [4], [4], [5], [5], [4], [3, 3], [3, 3], [4], [5], [5], [3, 3], [4], [4], [5], [5], [4], [], [3, 3], [], [3, 3], [4], [4], [4], [5], [4], [3, 3], [5], [], [], [4], [5], [], [5]]
[[5], [5], [5], [4], [], [4], [], [5], [4], [5], [5], [3, 3], [4], [3, 3], [5], [3, 3], [4], [5], [5], [4], [4], [5], [5], [4], [], [], [4], [4], [5], [4], [3, 3], [3, 3], [4], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [5], [], [], [4]]
[[4], [3, 3], [4], [5], [5], [5], [3, 3], [5], [4], [4], [5], [5], [5], [5], [], [3, 3], [4], [3, 3], [4], [], [], [], [], [4], [4], [5], [5], [3, 3], [4], [4], [5], [5], [4], [5], [4], [], [5], [3, 3], [], [3, 3], [4], [5], [3, 3], [3, 3]]
[[4], [3, 3], [], [4], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [], [4], [5], [5], [5], [4], [3, 3], [], [5], [4], [5], [5], [4], [], [3, 3], [5], [], [3, 3], [5], [4], [5], [], [], [3, 3], [5], [4], [5], [], [4], [5], [4], [3, 3], [4], [4]]
[[3], [4], [4], [3], [4], [4], [5], [5], [3], [5], [5], [4], [4], [3], [3], [5], [3], [4], [4], [3], [4], [4], [3], [5], [5], [3], [3], [3], [5], [5], [3], [3], [3], [3], [4], [3], [4], [5], [5], [5], [5], [4], [3], [3], [5], [5]]
-EndAllocation

Instance: [[1], [188], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,47. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,47:
-StartAllocation
[[2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5]]
[[5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4, 4, 5, 5]]
[[], [3, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 3, 4, 4, 4, 4, 4], [5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 3, 5, 5, 5]]
[[], [3, 5, 5, 5], [], [5, 5, 5, 5], [4, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 5, 5, 5]]
[[], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [4, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 3, 5], [5, 5, 5], [5, 5, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [4, 4, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 5, 5], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[], [], [2, 2, 2, 2], [5, 5, 5], [3, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 4, 4, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], []]
[[], [5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 5], [5, 5, 5], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5, 5]]
[[5, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 5, 5], [5], [5, 5], [4, 4, 4]]
[[], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [], [2, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [], [5, 5], [2, 5, 5], [2, 2, 2, 2, 2, 2], [3, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], []]
[[], [5, 5], [5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [3], [], [5, 5], [4, 4, 4], [5, 5]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [5], [3, 5], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [5], [2, 2, 2], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 4]]
[[], [5], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [], [5, 5], [5, 5], [3, 5], [], [5], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [4], [5, 5], [2, 2, 2, 2, 2], [4, 4], [], [2, 3, 4], [5], [5, 5], [5, 5], [], [2, 2], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [3, 5], [5], [5], [2, 2, 5], [4, 5], [5], [4, 5], [4, 5], [4, 5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [5], [2, 5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5]]
[[5], [4, 5], [4, 5], [3, 5], [2, 2, 2, 2], [5], [4, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [2, 5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [4, 5], [2, 2, 2, 2], [2, 2, 5], [2, 2, 5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [5], [4, 5], [5], [5], [4, 5], [5], [2, 5], [5], [5], [4, 5], [5], [5], [4, 5]]
[[5], [2, 2, 5], [4, 4], [5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [3, 5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 2, 2]]
[[5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [3, 5], [4, 4], [5], [4, 5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [3, 5], [2, 5], [5], [4, 4], [2, 5], [5], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 5], [4, 4], [5], [5], [2, 2, 2, 2]]
[[5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [4, 4], [4, 4], [5], [3, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [4, 4], [5], [5], [2, 2, 3], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [], [2, 5], [5], [5], [4], [5], [3, 4], [5]]
[[5], [5], [3, 5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [4, 4], [5], [4, 4], [], [], [5], [], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [], [4, 4], [5], [5], [5], [5], [5], [2, 3], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [], [5], [], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [4], [5], [4], [5], [5], [4], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3], [5]]
[[5], [4], [5], [2, 2, 2], [4], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [3], [5], [4], [5], [4], [5], [4], [5], [2], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [], [3], [5], [4], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [4], [2], [4], [4], [5], [5], [5]]
[[4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [4], [], [], [5], [4], [5], [2], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [4], [2, 2, 2], [5], [5], [5], [3]]
[[5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [4], [4], [5], [5], [4], [], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [3], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [4], [2, 2, 2], [], [2]]
[[], [], [5], [3], [5], [5], [5], [5], [2, 4], [5], [4], [5], [4], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [4], [4], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [], [5], [5], [2, 2, 2]]
[[4], [], [5], [], [5], [4], [4], [2, 4], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [3], [5], [5], [5], [4], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [], [5], [4], [5], [], [5], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5]]
[[5], [4], [5], [5], [5], [5], [5], [5], [], [], [2, 2, 2], [], [4], [5], [], [5], [2, 4], [5], [5], [4], [5], [], [5], [5], [5], [5], [], [5], [4], [5], [5], [5], [2, 2, 2], [], [5], [5], [3], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [4]]
[[5], [5], [4], [2, 4], [5], [4], [5], [2, 2, 2], [5], [5], [2, 2, 2], [], [5], [5], [], [5], [5], [], [5], [5], [5], [3], [], [5], [4], [5], [5], [4], [5], [5], [], [5], [], [5], [4], [5], [5], [], [5], [5], [2, 2, 2], [5], [], [5], [5], [2, 2, 2]]
[[5], [5], [5], [4], [5], [4], [5], [4], [2, 2], [], [5], [2], [2, 2], [], [5], [5], [5], [2, 2], [], [2, 2], [], [5], [5], [5], [5], [5], [4], [4], [5], [], [5], [2, 2], [4], [5], [5], [5], [5], [5], [3], [5], [5], [], [5], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [187], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,47. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,47:
-StartAllocation
[[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5]]
[[5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5], [4, 4, 4, 4, 4, 4, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 4, 4, 4, 4, 4], [5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [5], [4, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 5, 5, 5]]
[[], [5, 5, 5, 5], [], [5, 5, 5, 5], [4, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 5, 5]]
[[], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [4, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [], [4, 4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 5, 5], [5, 5], [5, 5, 5], [2, 5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [4, 4, 5], [5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[], [], [2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 4, 4, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5], []]
[[5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 5, 5], [2, 5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[], [2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [4, 4, 4], [5, 5], [], [2, 2, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [5], [5, 5], [2, 2, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5], [4, 4, 4], [5, 5], [5, 5], []]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [2, 2, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [], [5, 5], [4, 4, 4], [5, 5]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2], [4, 4]]
[[], [5], [4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [], [], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [], [5, 5], [5], [], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [4, 4], [], [2, 4, 4], [5, 5], [5, 5], [5, 5], [], [2, 2, 2], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[5], [2, 2, 5], [5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [4, 5], [4, 5], [4, 5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5]]
[[5], [4, 5], [4, 5], [5], [2, 2, 2, 2], [5], [4, 5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [5], [4, 5], [2, 2, 5]]
[[5], [5], [5], [4, 5], [2, 2, 2, 2], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [5], [4, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [4, 5]]
[[5], [2, 2, 5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [4, 4], [5], [5], [2, 2, 2, 2]]
[[5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [5], [4, 4], [5], [4, 5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [2, 5], [5], [4, 4], [2, 5], [5], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [2, 5], [4, 4], [5], [5], [2, 2, 2, 2]]
[[5], [5], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [5], [5], [2, 5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [4, 4], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [], [2, 5], [5], [5], [5], [], [4, 4], [5]]
[[5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2], [5], [5], [4, 4], [5], [4, 4], [], [], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [5], [2, 2, 2, 2], [4, 4], [5], [5], [], [4, 4], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [], [5], [], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2], [5], [2, 4], [5], [5], [5], [4], [5], [4], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [2, 2, 2], [5], [2, 2, 2], [4], [5], [5], [5], [5], [5], [5], [5], [2, 4], [5], [5]]
[[5], [4], [5], [2, 2, 2], [4], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [4], [], [4], [5], [2, 2], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[5], [], [5], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [], [4], [5], [4], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [4], [2, 2], [4], [5], [5], [5], [5]]
[[4], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [], [5], [4], [], [], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [4], [2, 2, 2], [5], [5], [5], [4]]
[[5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [4], [5], [5], [4], [], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [5], [], [4], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [4], [2, 2, 2], [], [2, 2]]
[[], [5], [5], [4], [5], [5], [5], [5], [2, 4], [5], [4], [5], [4], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [4], [4], [], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [], [2], [5], [2, 2, 2]]
[[4], [], [5], [], [5], [4], [4], [2, 4], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [5], [5], [2], [5], [5], [5], [5], [4], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [], [5], [4], [5], [], [5], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5]]
[[5], [4], [5], [5], [5], [5], [5], [5], [], [], [2, 2, 2], [], [4], [5], [], [5], [2, 4], [5], [5], [4], [5], [], [5], [5], [5], [5], [], [5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [2, 2, 2], [2], [5], [4]]
[[5], [5], [4], [2, 4], [5], [4], [5], [2, 2, 2], [5], [5], [2, 2, 2], [], [5], [5], [], [5], [5], [5], [5], [5], [5], [], [], [5], [4], [5], [5], [4], [5], [5], [], [5], [], [5], [4], [5], [5], [], [5], [5], [2, 2, 2], [5], [], [2], [5], [2, 2, 2]]
[[5], [5], [5], [4], [5], [4], [5], [4], [2, 2], [], [5], [2, 2], [2, 2], [], [5], [5], [5], [2, 2], [], [2, 2], [], [5], [5], [5], [5], [5], [4], [4], [5], [], [5], [2, 2], [4], [5], [5], [5], [5], [5], [], [5], [5], [], [5], [5], [2, 2], [5], [5]]
-EndAllocation

Instance: [[1], [186], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,47. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,47:
-StartAllocation
[[2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3]]
[[2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2]]
[[2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5, 5], [], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3]]
[[4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 5, 5]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [2, 2, 2, 2, 2], [], [5, 5, 5, 5], [3, 4, 4, 4]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3], [2, 2, 2, 2, 2, 4, 4], [4, 4, 4, 4, 4], [4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[4, 4, 4, 4], [4, 4, 4, 4], [], [3, 5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [], [2, 2, 2, 2, 2], [4, 4, 5], [4, 4, 4, 4], [4, 4, 4, 4]]
[[4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [5, 5, 5], [3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [], [4, 4]]
[[4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 4], [4, 4, 4, 4], [3, 3, 3, 3, 3], [2, 2, 2, 2, 2, 5], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [], [4]]
[[4, 4, 4], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5], [4, 4, 4], [2, 2, 2, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 5, 5], [5, 5], [5, 5]]
[[4, 4, 4], [4, 4, 4], [5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [5, 5], [4, 5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 5], [5, 5]]
[[4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [3, 3, 3, 3], [], [2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4, 4]]
[[4, 4, 4], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [2, 2, 2, 2, 2], [4, 4, 4]]
[[4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [], [5, 5], [3, 3, 3, 3], [], [5, 5], [], [], [5, 5]]
[[4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [], [], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4]]
[[4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [], [5, 5], [], [3, 3, 3, 3], [], [], [], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 4, 4], [3, 3, 3, 3], [5, 5]]
[[4, 4], [4, 4], [4, 4], [2, 2, 2, 2, 2], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], [], [3, 3, 3], [4, 4], [4, 4], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3], [], [5, 5], [5, 5], [5, 5], [4, 4]]
[[4, 4], [4, 4], [5, 5], [], [3, 3, 3], [], [4, 4], [2, 2, 2, 2, 2], [3, 3, 3], [4, 4], [5, 5], [], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5], [3, 3], [4, 4], [4, 4], [5, 5], [5, 5], [], [4, 4]]
[[4, 4], [4, 4], [4, 4], [5, 5], [5, 5], [3, 3, 3], [3, 3], [5, 5], [4, 4], [], [4, 4], [5, 5], [], [4, 4], [3, 3, 3], [], [], [4, 4], [4, 4], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [], [5, 5], [5, 5]]
[[2, 5], [4, 4], [4, 5], [5], [5], [5], [4, 5], [2, 2, 5], [3, 3, 3], [4, 4], [], [4, 5], [5], [4, 4], [4, 4], [2, 2, 5], [4, 4], [3, 3, 3], [4, 4], [5], [3, 3], [5], [4, 5], [5], [5], [5], [4, 4]]
[[4, 4], [4, 4], [3, 5], [5], [4, 4], [2, 2, 5], [3, 3, 3], [], [3, 5], [4, 5], [5], [3, 3, 3], [4, 4], [2, 2, 2], [5], [], [], [5], [4, 5], [5], [5], [4, 5], [4, 5], [4, 5], [5], [4, 5], [4, 4], [4, 4]]
[[4, 4], [4, 4], [3, 5], [5], [4, 5], [3, 3, 3], [], [4, 4], [5], [3, 3, 3], [], [5], [4, 4], [3, 5], [5], [5], [4, 4], [2], [4, 5], [5], [5], [2, 2, 5], [4, 4], [4, 4], [5], [2, 2, 5], [5], [5], [4, 4]]
[[4, 4], [2, 4], [4, 5], [4, 4], [], [5], [4, 5], [5], [4, 5], [3, 3, 3], [5], [5], [], [3, 3, 3], [3, 3], [5], [5], [4, 5], [4, 5], [4, 4], [], [4, 5], [], [4, 4], [5], [5], [2, 2, 2, 2], [5], [4, 5], [4, 4]]
[[2, 4], [4, 4], [5], [2, 2, 2, 2], [4, 4], [4, 4], [4], [3, 3], [5], [5], [3, 5], [5], [], [3, 3], [3, 3], [5], [4, 4], [5], [5], [5], [4, 4], [5], [5], [4, 4], [4, 4], [3, 5], [5], [5], [5], [5], [4, 4]]
[[4, 4], [4, 4], [5], [5], [4], [], [], [3, 5], [4, 4], [5], [3, 5], [4, 4], [5], [5], [], [4, 4], [3, 3], [4, 4], [4, 4], [5], [5], [3, 5], [5], [5], [5], [3, 5], [2, 2, 2, 2], [5], [5], [3, 3], [4, 4], [2, 4]]
[[4, 4], [4, 4], [2, 3, 3], [5], [5], [], [5], [3, 5], [], [4, 4], [], [], [4, 4], [5], [4, 4], [3, 3], [3, 3], [4, 4], [5], [2, 2, 2, 2], [5], [3, 5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [4, 4], [4, 4]]
[[2, 4], [4, 4], [5], [5], [5], [4, 4], [5], [4, 4], [4, 4], [3, 5], [4], [], [4, 4], [3, 5], [], [], [5], [3, 5], [4, 4], [], [3, 3], [2, 2, 2, 2], [5], [], [5], [5], [3, 3], [5], [4, 4], [4, 4], [3, 5], [5], [5], [5]]
[[4, 4], [4, 4], [4, 4], [4, 4], [5], [5], [5], [5], [4], [5], [5], [4, 4], [], [2, 2, 2, 2], [3, 3], [], [], [5], [], [4, 4], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3], [5], [4, 4], [2, 4]]
[[2, 4], [4, 4], [5], [4, 4], [5], [5], [4, 4], [4], [3, 5], [5], [4, 4], [3, 5], [3, 3], [5], [], [], [], [4, 4], [3, 3], [5], [5], [5], [3, 5], [], [4, 4], [4, 4], [2, 2, 2, 2], [5], [], [3, 5], [], [], [5], [5], [5], [4, 4]]
[[2, 4], [4, 4], [3, 3], [5], [3, 3], [4], [4, 4], [], [5], [5], [], [5], [3, 3], [4, 4], [], [5], [5], [], [], [], [3, 3], [4, 4], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [4, 4], [5], [5], [4, 4]]
[[2, 4], [5], [5], [5], [5], [5], [5], [5], [2, 4], [3, 3], [4], [4], [4], [5], [5], [5], [4], [3, 3], [5], [5], [4], [5], [3, 3], [4], [4], [4], [4], [3, 3], [4], [4], [5], [5], [2, 4], [4], [5], [4], [2, 4], [2, 4]]
[[3, 3], [2, 4], [5], [5], [5], [3, 3], [4], [4], [5], [5], [4], [5], [4], [2, 4], [4], [5], [4], [4], [5], [4], [4], [4], [5], [3, 3], [5], [2, 2, 2], [5], [4], [5], [5], [4], [5], [4], [5], [3, 3], [4], [4], [4], [5]]
[[5], [5], [2, 4], [4], [4], [5], [5], [4], [5], [3, 3], [5], [], [4], [4], [5], [3, 3], [5], [5], [4], [5], [4], [5], [5], [4], [4], [5], [3, 3], [4], [2, 4], [5], [4], [4], [4], [5], [2, 2, 2], [4], [3, 3], [4], [5], [4]]
[[2, 4], [5], [4], [4], [4], [3, 3], [], [], [5], [4], [5], [4], [5], [5], [2, 2, 2], [5], [3, 3], [4], [4], [4], [4], [5], [5], [3, 3], [5], [5], [5], [4], [4], [4], [3, 3], [5], [5], [4], [4], [5], [5], [4], [2, 4], [5], [4]]
[[4], [4], [5], [2, 2], [5], [4], [4], [4], [4], [4], [4], [4], [5], [], [4], [4], [3, 3], [4], [], [5], [4], [5], [5], [3, 3], [3, 3], [5], [5], [2, 2, 2], [4], [3, 3], [5], [5], [5], [4], [5], [5], [5], [5], [4], [5], [4], [4]]
[[4], [4], [4], [4], [4], [4], [5], [2, 2], [4], [3, 3], [4], [5], [4], [4], [2, 2, 2], [], [], [4], [], [3, 3], [5], [5], [5], [5], [5], [4], [4], [5], [5], [4], [4], [5], [5], [4], [4], [3, 3], [5], [5], [5], [5], [3, 3], [5], [4]]
[[2, 4], [4], [4], [4], [4], [4], [4], [5], [5], [5], [4], [4], [], [3, 3], [4], [5], [], [3, 3], [5], [5], [4], [5], [5], [], [3, 3], [], [5], [], [5], [5], [5], [4], [4], [2, 2, 2], [4], [2, 4], [3, 3], [5], [4], [5], [5], [5], [4], [4]]
[[4], [4], [4], [4], [4], [5], [5], [4], [5], [2, 2, 2], [4], [3, 3], [5], [4], [3, 3], [4], [3, 3], [4], [], [5], [5], [5], [5], [], [], [4], [4], [], [2, 2], [4], [4], [5], [5], [5], [], [3, 3], [4], [5], [5], [5], [5], [4], [4], [5], [4]]
[[4], [4], [4], [4], [4], [4], [5], [3, 3], [4], [5], [], [2, 2, 2], [4], [], [3, 3], [5], [], [5], [4], [4], [], [5], [5], [3, 3], [], [4], [5], [5], [2, 2], [], [4], [3, 3], [4], [4], [4], [5], [5], [5], [4], [4], [5], [5], [5], [5], [5], [4]]
[[4], [4], [4], [4], [4], [4], [4], [4], [4], [5], [3], [3], [], [4], [5], [4], [3], [], [3], [5], [5], [5], [4], [4], [5], [5], [5], [2, 2], [3], [5], [3], [5], [5], [5], [5], [2, 2], [3], [5], [4], [4], [5], [4], [4], [3], [5], [4], [2]]
-EndAllocation

Instance: [[1], [185], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,47. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,47:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [3, 4], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 5, 5], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], []]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 5], [5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3], [5, 5, 5, 5]]
[[], [3, 5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5], [5, 5, 5], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [4, 4]]
[[], [4, 4, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [5], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [], [4, 4, 4, 4]]
[[], [3, 3, 3], [3, 3, 3, 3, 3], [], [], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 4, 4]]
[[], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 5, 5], [4, 4, 4], [5, 5], [4, 5, 5], [4, 4, 4], [3, 5, 5], [3, 5, 5], [3, 3, 3, 3], [5]]
[[], [3, 5, 5], [3, 5, 5], [4, 5, 5], [3, 3, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [3, 5, 5], [4, 4, 4], [3, 5, 5], [5, 5], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [5, 5], [3, 5, 5], [3, 3, 3, 3], [], [4, 4, 4], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 5]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [4, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [], [5, 5], [5, 5], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [], [5, 5], [4, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5], [], [4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 5], [], [], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [5, 5], [4, 4, 4], [], [5, 5], [5, 5], [3, 3, 3, 3], [], [5, 5], [4, 4, 4], [3, 3, 3, 3]]
[[], [], [3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [4, 4], [5, 5], [3, 3, 3], [5, 5], [4, 4], [5], [5, 5], [], [3, 3, 3], [3, 3, 3], [4, 4]]
[[], [4, 4], [3, 3, 3], [5, 5], [], [4, 4], [5, 5], [3, 3, 3], [5, 5], [4, 4], [3, 3, 3], [], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 3, 3], [3], [5, 5], [], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 5]]
[[], [4, 4], [5], [3, 3, 3], [], [5, 5], [3, 3, 3], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [], [], [5, 5], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], []]
[[5], [3, 3, 3], [4, 4], [5], [4, 5], [5], [5], [3, 3, 3], [3, 3, 3], [4, 5], [5], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [5], [5], [4, 4], [5], [4, 4], [3, 5], [5], [3, 5], [5], [5]]
[[5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 5], [4, 5], [5], [], [4, 4], [3, 3, 3], [3, 5], [4, 4], [3, 3, 3], [5], [5], [4, 4], [4, 4], [3, 3, 3], [5], [5], [5], [3, 5], [5]]
[[5], [4, 4], [3, 5], [3, 3, 3], [5], [5], [], [4, 4], [3, 5], [5], [5], [4, 4], [3, 3, 3], [5], [], [5], [5], [3, 3, 3], [5], [3, 5], [4, 4], [3, 5], [4, 4], [5], [3, 3, 3], [3, 3, 3], [5], [5], [3, 5]]
[[5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [3, 3, 3], [5], [4, 4], [5], [5], [5], [5], [5], [4, 5], [4, 4], [3, 3, 3], [], [3, 5], [4, 4], [5], [3, 5], [5], [5], [5], [], [3, 3, 3], [3, 3, 3], [4, 4], [], [5]]
[[5], [3, 3], [4, 4], [3, 5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [4, 4], [5], [3, 3], [5], [4, 4], [3, 3], [3, 3], [5], [5], [3, 5], [4, 4], [3, 3], [3, 3], [4, 4]]
[[5], [3, 3], [5], [4, 4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [5], [3, 3], [4, 4], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [4, 4], [4, 4], [5], [5], [5], [3, 3], [5]]
[[5], [4, 4], [5], [5], [5], [4, 4], [4, 4], [5], [4, 4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [3, 3], [4, 4], [5], [], [3, 3], [5], [5], [3, 3], [5], [5], [5], [3, 3]]
[[5], [3, 3], [5], [5], [3, 3], [4, 4], [3, 5], [5], [3, 5], [5], [3, 5], [3, 5], [3, 5], [5], [5], [4, 4], [3, 5], [4, 4], [], [4, 4], [3, 3], [3, 5], [3, 3], [], [3, 3], [3, 5], [], [], [5], [], [3, 3], [], [5], [4, 4]]
[[5], [5], [4, 4], [3, 3], [3, 3], [5], [5], [5], [], [5], [], [4, 4], [4, 4], [3, 3], [5], [5], [3, 5], [5], [3, 3], [5], [4, 4], [3, 3], [], [3, 3], [], [3, 5], [3, 3], [], [4, 4], [3, 5], [5], [5], [3, 5], [3, 3], [5]]
[[], [5], [4, 4], [5], [5], [3, 5], [5], [5], [3, 3], [4, 4], [4, 4], [3, 3], [5], [], [4, 4], [5], [3, 5], [3, 3], [3, 3], [5], [5], [3, 3], [4, 4], [3, 3], [5], [], [5], [5], [5], [3, 3], [5], [], [], [3, 3], [5], [3, 3]]
[[4], [4], [5], [5], [5], [5], [4], [3, 3], [5], [3, 3], [5], [5], [3, 3], [5], [4], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [4], [3, 3], [3, 3], [5], [4], [5], [3, 3], [4], [4], [5], [4], [5], [3, 3], [4]]
[[5], [5], [5], [5], [5], [4], [3, 3], [4], [3, 3], [4], [3, 3], [4], [], [5], [3, 3], [5], [4], [4], [3, 3], [3, 3], [4], [4], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [5]]
[[5], [4], [5], [4], [5], [5], [3, 3], [], [5], [3, 3], [4], [], [4], [4], [3, 3], [5], [4], [3, 3], [5], [4], [5], [3, 3], [3, 3], [4], [5], [5], [3, 3], [3, 3], [5], [5], [3, 3], [4], [5], [5], [5], [3, 3], [5], [5], [4]]
[[5], [5], [5], [], [5], [], [4], [3, 3], [3, 3], [], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [4], [4], [3, 3], [4], [3, 3], [4], [3, 3], [5], [4], [4], [5], [3, 3], [5], [3, 3], [4], [5], [4], [5], [5], [4], [5]]
[[5], [4], [4], [], [4], [5], [3, 3], [4], [5], [5], [5], [4], [5], [3, 3], [3, 3], [5], [3, 3], [5], [], [5], [5], [5], [5], [4], [3, 3], [5], [5], [4], [4], [3, 3], [4], [3, 3], [], [5], [3, 3], [5], [3, 3], [4], [], [3, 3], [5]]
[[5], [3, 3], [3, 3], [5], [4], [5], [3, 3], [4], [5], [4], [5], [5], [], [3, 3], [5], [5], [4], [3, 3], [4], [3, 3], [5], [4], [3, 3], [4], [], [5], [4], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [3, 3], [5], [4], [], [4], [5], []]
[[5], [4], [3, 3], [], [5], [5], [5], [], [5], [3, 3], [4], [], [4], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [4], [3, 3], [4], [], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [4], [5], [], [3, 3], [5], [5], [], [3, 3], [4], [5], [5]]
[[5], [4], [3, 3], [3, 3], [], [5], [5], [4], [5], [5], [4], [4], [5], [5], [5], [4], [], [5], [3, 3], [3, 3], [], [5], [], [3, 3], [], [5], [5], [4], [4], [4], [3, 3], [5], [5], [3, 3], [5], [4], [3, 3], [5], [4], [5], [], [3, 3], [3, 3], []]
[[5], [3, 3], [3, 3], [3, 3], [5], [4], [4], [5], [], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [], [], [4], [5], [4], [4], [3, 3], [3, 3], [], [], [5], [4], [], [4], [], [5], [5], [3, 3], [3, 3], [5], [5], [4], [5], [5], [3, 3], [5], [4], [4]]
[[4], [5], [4], [], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [3, 3], [4], [], [3, 3], [5], [5], [], [5], [3, 3], [5], [5], [5], [], [4], [], [5], [5], [4], [], [3, 3], [4], [4], [5], [4], [3, 3], [5], [4], [4], [3, 3], [], [5], [3, 3], [3, 3], []]
[[3], [3], [5], [3], [4], [4], [4], [4], [4], [3], [3], [5], [3], [4], [3], [5], [4], [5], [4], [3], [5], [5], [3], [5], [3], [3], [3], [3], [5], [3], [3], [4], [4], [5], [5], [5], [5], [3], [3], [3], [5], [5], [3], [3], [5], [5], [5]]
-EndAllocation

Instance: [[1], [192], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,48. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,48:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [2, 2, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [2, 2, 2, 2, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5], [4]]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 4, 4], [5, 5, 5], [2, 4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5, 5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], []]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5], [4, 4, 4], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [], [5, 5], [4, 4, 4], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5]]
[[], [2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [], [4, 4], [5, 5], [4, 4], [5, 5], [5, 5], [5], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2]]
[[], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [5], [4, 4], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [], [], [4, 4]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2], [5, 5], [5, 5], [], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [5], [], [5, 5], [4, 4], [4, 4], [5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [5], [4, 4], [5, 5], [], [], [4, 4]]
[[5], [5], [5], [2, 2, 5], [2, 2, 5], [4, 5], [5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [5], [4, 5], [5]]
[[5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 4], [2, 2, 5], [4, 5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [5], [4, 5], [5]]
[[5], [5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [4, 5], [4, 5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [4, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [4, 5], [5], [5], [4, 5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [2, 5], [4, 4], [2, 5], [5], [5], [4, 4], [5], [2, 5], [2, 5], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [2, 5], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [4, 4], [5], [5], [4, 4], [5], [5], [5], [2, 5], [2, 5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [4, 4], [5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [2, 5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [5], [4, 4], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [5], [4, 4]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [2, 2, 2, 2], [5], [5], [4, 4], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [4, 4], [5], [5]]
[[], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [2, 2], [5], [5], [4, 4], [4, 4], [2, 2, 2, 2], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[4], [4], [5], [5], [4], [5], [5], [5], [2, 2, 2], [4], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4], [4], [5], [4], [4], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2], [5], [4], [5], [2, 2, 2]]
[[5], [5], [5], [], [5], [5], [5], [5], [2, 2], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [], [5], [4], [5], [4], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [2, 2, 2], [5]]
[[5], [5], [2, 2], [5], [], [5], [4], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [4], [5], [4], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [4], [5], [], [5], [5], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [], [2, 2, 2], [5], [5], [5], [4], [5], [4], [2, 2, 2], [5], [5], [2, 2, 2], [4], [5], [5], [4], [5], [5], [4], [5], [5], [], [5], [2, 2], [5], [4], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [5]]
[[], [5], [5], [5], [4], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [], [4], [], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [], [5], [4], [4], [2, 2], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [5], [4], [], [4], [], [4], [5], [], [2, 4], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 2, 2], [5], [2], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [4], [5], [5]]
[[5], [5], [5], [], [], [2, 4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [4], [5], [5], [], [2, 4], [5], [5], [5], [5], [2, 2, 2], [], [5], [], [5], [5], [5], [2, 2, 2], [], [5], [5], [4], [4], [4], [5], [5], [], [5], [2, 2, 2], [5]]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [2, 2], [5], [4], [5], [4], [5], [5], [5], [], [5], [5], [5], [], [], [4], [], [5], [5], [4], [5], [5], [], [5], [], [5], [4], [5], [], [5], [], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2]]
[[4], [], [4], [5], [5], [4], [5], [4], [2, 2], [2, 2], [5], [], [5], [], [], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2], [4], [5], [], [5], [5], [5], [4], [5], [], [2, 2], [], [5], [5], [2, 2], [5], [5], [5], [2, 2]]
-EndAllocation

Instance: [[1], [191], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,48. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,48:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5], [5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4, 5], [3, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 3, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [2, 2, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [], [5, 5, 5, 5], [3, 4, 4, 4, 4], [2, 2, 2, 2, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4], [2, 2, 2, 2, 5, 5], [5], [5, 5, 5, 5], [3, 5, 5, 5], [5, 5], [5, 5, 5, 5], []]
[[], [5, 5, 5], [5, 5, 5], [2, 2, 2, 4, 5], [5, 5, 5], [2, 4, 4, 4, 4], [5, 5, 5], [3, 5, 5, 5], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2], [3, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [], [5, 5, 5], [5, 5, 5], [5], [3, 5, 5], [5, 5, 5], [4, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [3, 5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5, 5], [5, 5, 5], [4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4], []]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2, 2, 2], [5, 5], [3, 5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 5], [5, 5], [2, 2, 5], [5, 5], [5, 5], [3, 5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [3], [5, 5], [4, 4, 5], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 5], [5, 5], [], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4], [5, 5], [2, 2, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [], [], [4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 5], [5, 5], [5, 5], [], [2, 2, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5]]
[[], [2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [], [4, 5], [5, 5], [4, 4], [5, 5], [5, 5], [3], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2]]
[[], [5, 5], [4, 4], [2, 2, 2, 2, 2], [5, 5], [3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2], [5], [4, 5], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [], [], [4, 4]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2], [5, 5], [3, 5], [], [5, 5], [], [2, 2, 2, 2, 2], [5, 5], [5], [], [5, 5], [4, 5], [4, 4], [5, 5], [5, 5]]
[[], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5], [5, 5], [5, 5], [2, 2, 2, 2], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [3, 5], [4, 4], [5, 5], [], [], [4]]
[[5], [5], [5], [2, 2, 5], [3, 5], [5], [5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [2, 2, 5], [4, 5], [2, 2, 5], [5], [4, 5], [5], [5], [4, 5], [5]]
[[5], [5], [2, 2, 5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 4], [2, 2, 5], [4, 5], [5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [3, 5], [5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [5]]
[[5], [5], [2, 2, 5], [5], [5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 5], [4, 5], [4, 5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [4, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [5], [3, 5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [4, 5], [5], [4, 5], [2, 2, 5], [5], [3, 5], [5], [4, 5], [5], [5], [4, 5], [5], [5]]
[[5], [5], [5], [5], [4], [5], [2, 5], [2, 5], [3, 5], [4, 4], [2, 5], [2, 5], [5], [4, 4], [5], [2, 5], [2, 5], [5], [5], [2, 5], [5], [2, 5], [5], [5], [5], [2, 5], [2, 5], [5], [5], [5], [2, 2, 2, 2], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [4, 4], [5], [5], [2, 2, 4], [5], [5], [5], [2, 5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [3, 5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [4, 4], [5], [5]]
[[5], [2, 2, 2, 2], [5], [3, 5], [5], [2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [2, 5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [4], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2], [5], [3, 5], [5], [5], [5], [2, 2, 2, 2], [5], [5]]
[[5], [5], [], [2, 2, 2, 2], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [3], [5], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [5], [4, 4]]
[[5], [5], [5], [2, 2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [3, 5], [5], [5], [], [5], [2, 2, 2, 2], [5], [5], [4], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [4, 4], [5], [5]]
[[], [5], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [2, 2], [5], [5], [3, 4], [4, 4], [2, 2, 2, 2], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2]]
[[4], [4], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [3]]
[[5], [5], [5], [5], [5], [5], [4], [4], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [3], [5], [2, 2], [5], [4], [5], [2, 2, 2]]
[[5], [5], [5], [], [3], [5], [5], [5], [2, 2], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [], [5], [4], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [2, 2, 2], [5]]
[[5], [5], [2, 3], [5], [], [5], [2], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [4], [5], [4], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [4], [5], [], [5], [5], [5], [], [5], [5], [5], [5]]
[[5], [5], [5], [], [2, 2, 2], [5], [5], [5], [4], [5], [4], [2, 2, 2], [5], [5], [2, 2, 2], [4], [5], [5], [3], [5], [5], [4], [5], [5], [], [5], [2, 2], [5], [4], [5], [5], [5], [], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [5]]
[[], [5], [5], [5], [4], [5], [5], [3], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [], [4], [], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [], [5], [4], [4], [2, 2], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5]]
[[5], [5], [5], [5], [5], [4], [], [5], [], [4], [5], [], [2, 4], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [], [], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [2, 2, 2], [5], [2], [5], [5], [5], [5], [3], [5], [5], [], [5], [5], [4], [5], [5]]
[[5], [5], [5], [], [], [2, 4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [], [5], [5], [], [2, 4], [5], [5], [5], [5], [2, 2, 2], [], [5], [], [5], [5], [5], [2, 2, 2], [3], [5], [5], [4], [4], [4], [5], [5], [], [5], [2, 2, 2], [5]]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [2, 2], [5], [4], [5], [], [5], [3], [5], [], [5], [5], [5], [], [], [4], [], [5], [5], [4], [5], [5], [5], [5], [], [5], [4], [5], [], [5], [], [2, 2, 2], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2]]
[[4], [], [4], [5], [5], [4], [5], [4], [2, 2], [2, 2], [5], [], [5], [], [], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2], [2, 2], [5], [], [5], [5], [5], [4], [5], [], [2, 2], [], [5], [5], [2], [5], [5], [5], [2, 3]]
-EndAllocation

Instance: [[1], [190], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,48. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 2, 2, 2, 4, 4, 4], [2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5], [2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5], [4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5], [4, 4, 4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5], [2, 2, 2, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [2, 2, 5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5], [2, 2, 5, 5, 5, 5], [2, 2, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5], [2, 2, 2, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [2, 2, 2, 2, 2], [5, 5, 5, 5], [5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4, 4]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5]]
[[], [5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [], [4, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2], [], [5, 5, 5], [5, 5, 5]]
[[], [], [5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [5, 5], []]
[[5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 5], [5, 5], [2, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [2, 2, 2, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [2, 5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], []]
[[], [5, 5], [2], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [4, 4, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [2, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 5, 5], [5, 5], [], [5, 5]]
[[], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 5], [5], [5, 5], [5], [5, 5], [2, 2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5], [5, 5], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5], [2, 2, 2, 2, 2, 2], [4, 4], [], [5, 5], [2, 2, 2, 5], [], [], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [2, 2, 2, 2, 2], [4, 4], [5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [2, 2, 2, 2, 2]]
[[], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [4, 4], [2, 4, 4], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2], [5], [5, 5], [5, 5], [4, 5], [5, 5], [5, 5], [], [5, 5], []]
[[], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [], [], [], [5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], []]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [], [5], [5, 5], [5, 5], [5, 5], [5], [4], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [], [], [5, 5], [2, 2, 2, 2, 2]]
[[5], [4, 5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [2, 5], [5], [5], [4, 5], [2, 2, 5], [5], [5], [5], [2, 2, 5]]
[[5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [2, 2, 5], [4, 5], [2, 5], [5], [5], [5], [4, 5], [2, 2, 2, 2]]
[[5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 5], [4, 4], [5], [4, 5], [4, 5], [5], [4, 5], [2, 2, 5], [5], [2, 5], [5], [5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [4, 5], [2, 2, 2, 2], [5], [5], [2, 5], [4, 5], [2, 2, 2, 2], [5], [5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [4, 5], [5], [5], [5], [2, 2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [2, 5], [5], [2, 5], [5], [2, 5], [2, 5], [5], [2, 5], [5], [5], [2, 5], [4, 4], [4], [4, 4], [2, 5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 5], [5], [2, 5], [2, 5], [2, 5], [5]]
[[5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [4, 4], [2, 2, 4], [2, 5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5], [2, 5], [2, 5], [5], [2, 5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [2, 2, 4], [5], [5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5]]
[[5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [5], [5], [5], [2, 2], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [4], [5], [5], [5]]
[[5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 5], [5], [5], [], [5], [2, 2, 2, 2], [4, 4], [5], [5], [5], [5], [5], [5], [2, 2], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 2, 2, 2], [5], [4], [2, 2, 2, 2], [2, 5], [5], [5], [5], [4, 4], [], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [4], [5], [5], [5], [4], [5], [5], [5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [4], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5]]
[[5], [5], [4], [5], [4], [5], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [4], [5]]
[[4], [5], [5], [2, 2, 2], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [], [5], [5], [5], [], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [4]]
[[5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [], [5], [5], [5], [2, 2, 2], [5], [5], [5], [4], [5], [5], [5], [5], [5], [4], [4], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2], [5], [5], [], []]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [], [5], [2, 2, 2], [5], [5], [], [4], [2, 2, 2], [5], [], [5], [5], [4], [5], [4]]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [4], [2, 2, 2], [5], [5], [5], [5], [5], [], [2, 2, 2], [5], [], [5], [4], [4], [], [5], [5], [4], [5], [5], [], [5], [5], [2, 2, 2], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [5], [5]]
[[5], [5], [], [5], [5], [4], [2, 2, 2], [5], [4], [2, 2, 2], [], [5], [5], [5], [5], [5], [], [5], [5], [], [], [5], [5], [2, 2, 2], [2, 2, 2], [5], [5], [], [5], [5], [4], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [4]]
[[5], [2, 2, 2], [5], [], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [], [], [], [4], [4], [2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [4], [5], [4], [4]]
[[5], [5], [5], [4], [], [2, 2, 2], [5], [5], [5], [], [5], [], [5], [5], [5], [], [2, 2, 2], [2, 2, 2], [4], [5], [4], [5], [4], [], [5], [5], [], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [], [5], [5], [], [2, 2, 2], [5], [5], [5]]
[[], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [4], [5], [5], [4], [], [], [2, 2, 2], [5], [5], [], [5], [5], [5], [5], [], [], [5], [5], [2, 2, 2], [4], [], [5], [5], [5], [2, 2, 2], [2, 2, 2], [5], [4], [5], [], [5], [5], [5], [5]]
[[4], [2, 2], [5], [5], [5], [5], [5], [], [5], [5], [5], [4], [2, 2], [5], [5], [5], [2], [5], [5], [5], [5], [2, 2], [2, 2], [4], [], [], [2, 2], [2, 2], [5], [], [2, 2], [], [5], [5], [5], [5], [5], [5], [4], [], [5], [5], [5], [5], [], [4], [5], [5]]
-EndAllocation

Instance: [[1], [189], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,48. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,48:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 4, 4], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 5, 5], [5, 5, 5, 5, 5], []]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 5, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4], [5, 5, 5, 5], [3, 3, 5, 5, 5], [], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[[], [3, 3, 5, 5], [4, 4, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5], [5, 5, 5, 5], [], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [5, 5, 5], [3, 3, 5, 5], [3, 3, 3, 3, 3, 3], [2, 2, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5]]
[[], [5, 5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5], [3, 3, 3, 3, 3], [5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 3, 3, 3]]
[[], [5, 5, 5], [5, 5, 5], [4, 4], [], [3, 3, 3, 3, 3], [5, 5, 5], [2, 2, 2, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 4, 4, 5], [5, 5, 5], [3], [2, 2, 2, 5, 5], [5, 5, 5], [], []]
[[5], [3, 3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 5], [2, 2, 2, 2, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5]]
[[5], [5], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [3, 3], [3, 5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [4, 4, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5]]
[[], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [], [4, 4], [3, 3, 3, 3], [2, 2, 2, 2, 2], [5, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [3, 3, 3, 3], [], [2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [3, 3, 3, 3], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [3, 3, 3, 3], []]
[[], [], [5], [5, 5], [5, 5], [5, 5], [5, 5], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 3, 3], [3, 3, 3], [4, 4], [5, 5], [5, 5], [2, 5], [5, 5], [5, 5], [5, 5], [5], [3, 3], [5, 5]]
[[], [5], [5, 5], [5, 5], [5, 5], [5, 5], [], [3, 3], [5, 5], [2, 5], [5, 5], [2, 2, 2, 2, 2], [], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [4, 4], [5, 5], [5, 5], [5, 5], [5], [3, 3, 3], [3, 3, 3]]
[[], [5], [], [5, 5], [], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [], [5, 5], [2], [5, 5], [3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3]]
[[5], [5], [2, 2, 5], [4, 5], [3, 5], [5], [5], [3, 5], [4, 5], [3, 5], [5], [5], [3, 5], [3, 5], [5], [2, 2, 5], [2, 5], [5], [2, 2, 5], [5], [5], [3, 5], [5], [3, 5], [3, 5], [2, 2, 5], [2, 2, 5]]
[[5], [5], [4, 5], [5], [3, 5], [3, 5], [5], [2, 2, 2, 2], [3, 5], [5], [3, 5], [2, 5], [3, 5], [5], [3, 5], [5], [2, 2, 5], [5], [5], [5], [4, 5], [3, 5], [2, 2, 5], [5], [5], [5], [3, 5], [2, 2, 5]]
[[5], [3, 5], [5], [2, 2, 5], [5], [3, 5], [3, 5], [5], [5], [2, 2, 5], [5], [5], [3, 5], [3, 5], [2, 2, 2, 2], [3, 5], [2, 2, 5], [5], [4, 4], [5], [5], [5], [3, 5], [5], [5], [3, 5], [5], [2, 5], [5]]
[[5], [4, 4], [5], [2, 2, 5], [5], [2, 5], [5], [3, 3, 3], [3, 5], [5], [5], [5], [5], [5], [3, 3, 3], [5], [2, 2, 5], [5], [3, 5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5]]
[[5], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [5], [3, 3], [2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [4, 4], [2, 2, 5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 2, 2], [3, 3], [5], [3, 5], [2, 5], [3, 5], [5], [4, 4], [5], [2, 5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [2, 5], [5], [5], [3, 5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 5], [3, 5], [3, 5], [5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [3, 3], [5], [5], [5], [3, 5], [5], [2, 2, 2], [5], [3, 3], [5]]
[[5], [5], [5], [5], [5], [5], [2, 5], [5], [2, 5], [2, 5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [4, 4], [2, 2, 2, 2], [5], [3, 3], [5], [5], [5], [5]]
[[5], [5], [5], [5], [3, 3], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [4, 4], [2, 2, 2], [5], [5], [3, 3], [5], [5], [5], [5], [5]]
[[5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [3, 3], [5], [5], [4, 4]]
[[5], [3, 5], [5], [3, 3], [5], [2, 2, 2, 2], [3, 3], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [4, 4], [], [3, 5], [5], [2, 2, 2, 2], [5], [], [5], [5], [5], [3, 3]]
[[5], [], [5], [5], [5], [4], [5], [2, 2], [3, 3], [4], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [3, 3], [2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [], [3, 3], [2, 2, 2], [5], [5], [5], [5], [4], [5], [], [3, 3], [5], [5]]
[[5], [5], [], [2, 2, 2], [2, 2, 2], [5], [2, 2, 2], [3, 3], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [5], [], [], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [4], [5], [3, 3]]
[[5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [], [4], [], [5], [2, 2, 2], [2, 2, 2], [2, 2, 2], [5], [5], [4], [2, 2], [5], [5], [5], [3, 3], [5], [5], [], [5], [], [5], [3, 3], [5], [5]]
[[5], [2, 2, 2], [5], [2, 2], [5], [5], [3, 3], [5], [3, 3], [4], [3, 3], [5], [5], [5], [5], [5], [5], [], [5], [5], [], [5], [5], [5], [], [5], [3, 3], [5], [5], [2, 2, 2], [], [5], [5], [4], [5], [5], [2, 2, 2], [], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [2, 2, 2], [], [], [5], [5], [3, 3], [], [5], [5], [3, 3], [2, 2, 2], [2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [], [5], [4], [5], [5], [5], [4], [5], [], [5], [5], [], [5]]
[[], [2, 2, 2], [4], [], [5], [], [5], [], [2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [], [5], [3, 3], [5]]
[[5], [2, 2, 2], [2, 2], [3, 3], [5], [], [], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [4], [], [], [], [5], [2, 2, 2], [4], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [], [5]]
[[], [3, 3], [5], [2, 2, 2], [], [], [5], [5], [5], [2, 2, 2], [5], [5], [2, 2], [3, 3], [4], [5], [], [3, 3], [5], [5], [5], [], [5], [5], [5], [], [3, 3], [], [5], [5], [5], [5], [5], [5], [5], [], [5], [4], [5], [5], [5], [5], [5], [], [5], [2, 2, 2]]
[[5], [2, 2, 2], [5], [5], [5], [5], [5], [], [4], [4], [2, 2], [], [], [5], [], [5], [], [2, 2, 2], [5], [], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [3, 3], [5], []]
[[5], [5], [2], [5], [5], [5], [5], [3], [], [5], [5], [5], [5], [5], [5], [3], [2, 2], [5], [2, 2], [5], [3], [5], [2, 2], [2, 2], [4], [5], [5], [], [5], [], [3], [5], [5], [5], [5], [5], [4], [5], [], [3], [3], [5], [3], [2, 2], [], [5], [5], [3]]
-EndAllocation

Instance: [[1], [196], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,49. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,49:
-StartAllocation
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5]]
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], []]
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], []]
[[1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5], []]
[[3, 5, 5, 5, 5, 5, 5], [1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 4], [1, 1, 1, 1, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5], []]
[[1, 3, 5, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5], [4, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 5], [], []]
[[1, 5, 5, 5, 5, 5], [1, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [], []]
[[1, 3, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5], [1, 1, 1, 1, 3, 3, 3, 3, 5], [4, 5, 5, 5, 5], [4, 5, 5, 5, 5], [4, 5, 5, 5, 5], [4, 4, 5, 5, 5], [4, 4], [], []]
[[1, 1, 5, 5, 5, 5], [1, 1, 5, 5, 5, 5], [1, 1, 1, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 4, 4, 4], [3, 3, 3], [], []]
[[1, 5, 5, 5, 5], [1, 5, 5, 5, 5], [1, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 4, 4, 4], [3, 3, 3, 3], [], [], []]
[[3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 4, 5], [1, 1, 1, 5, 5, 5], [1, 1, 1, 5, 5, 5], [1, 5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4], [], []]
[[3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 4, 5], [1, 1, 1, 5, 5, 5], [1, 1, 1, 5, 5, 5], [1, 5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4], [], [], []]
[[1, 1, 5, 5, 5], [1, 1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 4, 4], [3, 3], [], [], []]
[[1, 5, 5, 5], [1, 5, 5, 5], [1, 5, 5, 5], [1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [4, 4, 4, 4], [3, 3, 4, 4], [3, 3, 3, 3], [], [], [], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 3, 3, 4], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 3, 3, 4], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5], [], [], []]
[[3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [1, 1, 1, 5, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [], [], []]
[[3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [1, 1, 1, 5, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 4, 4], [3, 3, 3, 3], [3], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 4, 4], [3, 3, 3, 3], [3], [], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 4, 4], [3, 3, 3, 3], [3], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], [], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], [], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], [], [], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4, 4], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3], [], [], [], [], [], [], [], [], []]
[[1, 3], [3], [3], [3], [3], [3], [3], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4], [4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [], [], [], [], []]
-EndAllocation

Instance: [[1], [195], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,49. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,49:
-StartAllocation
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5]]
[[3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], []]
[[4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], []]
[[3, 4, 4, 4, 4, 4, 4, 5, 5], [1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5], []]
[[1, 3, 4, 4, 4, 4, 4, 4, 5], [1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5], []]
[[1, 3, 5, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 4, 5, 5], [4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5], []]
[[1, 5, 5, 5, 5, 5], [1, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 5, 5, 5, 5], [3, 3, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [], []]
[[1, 3, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5], [1, 3, 5, 5, 5, 5], [1, 1, 1, 1, 5, 5, 5, 5], [3, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5], [4, 5, 5, 5, 5], [4, 4, 4, 5, 5], [4, 4], [], []]
[[1, 1, 5, 5, 5, 5], [1, 1, 5, 5, 5, 5], [1, 1, 1, 3, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 5], [3, 3, 3, 3, 4, 4], [3, 3, 3], [], []]
[[5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [1, 3, 3, 3, 3, 3, 4], [1, 1, 1, 1, 1, 1, 3, 3, 3], [], [], []]
[[3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 5, 5, 5], [3, 3, 3, 4, 5], [1, 1, 1, 5, 5, 5], [1, 1, 1, 5, 5, 5], [1, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4], [], []]
[[1, 1, 5, 5, 5], [1, 1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 4], [3, 3], [], []]
[[1, 1, 5, 5, 5], [1, 1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 4], [3, 3], [], [], []]
[[1, 5, 5, 5], [1, 5, 5, 5], [1, 5, 5, 5], [1, 5, 5, 5], [1, 1, 1, 3, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3, 4], [3, 3, 3], [], [], [], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 5, 5], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [], [], []]
[[1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 3, 5, 5], [1, 1, 5, 5], [3, 5, 5], [3, 3, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [4, 4, 5], [5, 5], [5, 5], [], [], [], []]
[[3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [1, 1, 1, 5, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4], [], [], []]
[[3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [3, 5, 5], [1, 1, 1, 3, 3, 4], [1, 1, 1, 5, 5], [1, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4], [], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 4], [3, 3, 3, 3], [3], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 4], [3, 3, 3, 3], [3], [], [], [], []]
[[1, 1, 5, 5], [1, 1, 5, 5], [1, 1, 5, 5], [1, 3, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 4], [3, 3, 3, 3], [3], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], [], []]
[[1, 1, 4, 4], [1, 1, 4, 4], [1, 1, 4, 4], [1, 3, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 5], [3, 3, 3], [3, 3, 3], [], [], [], [], [], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5]]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], []]
[[1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [1, 3, 5], [3, 4], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], [], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], [], [], [], [], []]
[[3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [3, 5], [1, 3, 4], [1, 1, 1, 5], [1, 1, 1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [4, 4], [4], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], [], [], []]
[[1, 4], [4], [4], [4], [4], [4], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [1, 5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [], [], [], [], [], [], [], [], [], []]
[[1, 3], [3], [3], [3], [3], [3], [3], [3], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [], [], [], [], [], [], []]
-EndAllocation

Instance: [[1], [194], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,49. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,49:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3], [4, 4, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 5, 5, 5, 5], [5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 5], [5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5], [5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 5, 5], [5, 5, 5, 5]]
[[5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [3, 3, 5, 5], [3, 3, 3, 3, 3, 3], [5], [5, 5, 5], [5, 5, 5], [2, 2, 5, 5], [5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [3, 3, 3, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [], [5, 5], [3, 3, 3, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 2, 5, 5]]
[[], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 3], [5, 5, 5], [2, 2, 2, 5], [5, 5, 5], [5, 5, 5], [4, 4, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], []]
[[5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [3, 3, 3, 3]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 4, 5]]
[[], [5, 5], [5, 5], [5], [4, 4, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [2, 2, 2, 2, 2], [5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5], [4, 4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], []]
[[], [3, 3, 3, 3], [5, 5], [], [], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2]]
[[], [], [5, 5], [2, 2, 2, 2, 2, 2], [], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [3, 4, 4], [5, 5], [3, 3, 3], [2, 2, 2, 2, 2], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5], [3, 3, 3, 3], [4, 4], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [], [3, 3], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [4, 4], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [2, 2, 2, 2, 2], [2, 5], [5], [5, 5], [5, 5]]
[[], [], [4, 4], [5, 5], [], [5, 5], [5], [5], [3, 3], [2, 5], [5, 5], [3, 3, 3], [5, 5], [5, 5], [], [5, 5], [5, 5], [3, 3, 3], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5]]
[[], [], [3, 3], [2, 2, 2, 2, 2], [5, 5], [3, 3, 3], [5, 5], [5], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [], [2], [5, 5], [5, 5], [4, 4], [5, 5], [5], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [3, 3, 3]]
[[5], [3, 5], [5], [5], [5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [2, 2, 5], [5], [5], [3, 5], [5], [2, 5], [4, 5], [5], [5], [2, 2, 5], [3, 5], [2, 2, 5], [3, 5], [5], [2, 2, 5], [2, 2, 5], [4, 5], [5]]
[[5], [3, 5], [5], [4, 5], [4, 5], [2, 2, 5], [2, 2, 5], [3, 5], [5], [5], [5], [3, 5], [5], [5], [5], [5], [3, 5], [3, 3, 3], [5], [5], [5], [2, 2, 5], [5], [5], [2, 5], [5], [3, 5], [2, 2, 5], [2, 2, 5]]
[[5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [3, 5], [3, 5], [3, 5], [3, 5], [5], [5], [5], [5], [3, 3, 3], [2, 5], [5], [5], [2, 2, 5], [4, 4], [2, 2, 5]]
[[5], [3, 5], [3, 5], [3, 5], [5], [3, 5], [3, 5], [5], [5], [5], [5], [4, 5], [5], [5], [5], [3, 5], [5], [5], [5], [5], [5], [5], [3, 5], [5], [2, 2, 2, 2], [2, 2, 2], [2, 2, 2, 2], [4, 5], [5], [5], [3, 5]]
[[5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 2, 5], [3, 3, 3], [3, 3], [5], [3, 3, 3], [5], [5], [2, 2, 5], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 5], [5]]
[[5], [5], [3, 5], [5], [2, 2, 2, 2], [3, 3], [3, 3], [3, 5], [3, 5], [5], [5], [3, 5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [2, 5], [5], [5], [5], [5], [5], [5]]
[[5], [3, 5], [2, 5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 5], [5], [5], [3, 3], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [5], [3, 3], [3, 5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [3, 5], [5], [4, 4], [5], [3, 3], [2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 3], [5], [3, 5], [5], [5]]
[[5], [3, 3], [5], [5], [4, 4], [5], [5], [5], [5], [5], [2, 2, 2, 2], [3, 5], [5], [5], [2, 3, 3], [5], [5], [], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2, 2], [5], [5], [5], [5], [3, 5], [5], [2, 2], [5]]
[[5], [], [5], [2, 5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [5], [5], [5], [5], [3, 3], [4, 4], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5]]
[[5], [5], [5], [5], [3, 3], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [3, 3], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [5]]
[[5], [5], [3, 3], [], [2, 2], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [5], [5], [5], [5], [3, 3], [2, 2, 2], [5], [5], [5], [3, 3], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [2, 2, 2], [5]]
[[5], [5], [2, 2, 2], [5], [4], [5], [5], [5], [], [5], [5], [2, 2], [5], [5], [5], [2, 2, 2], [5], [4], [3, 3], [], [5], [5], [3, 3], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3]]
[[5], [3, 3], [5], [5], [5], [5], [3, 3], [5], [4], [5], [5], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [], [3, 3], [5], [5], [], [5], [5], [2, 2], [5], [5], [5], [5], [], [3, 3], [2, 2, 2], [5], [5]]
[[], [5], [5], [5], [5], [5], [3, 3], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [3, 3], [5], [3, 3], [2], [5], [], [2, 2, 2], [], [5], [5], [3, 3], [2, 2, 2], [2, 4], [5], [5], [5], [5], [5], [5], [], [5], [5], [2, 2, 2]]
[[5], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [2, 2], [], [5], [5], [5], [5], [5], [5], [5], [3, 3], [], [4], [5], [3, 3], [5], [5], [2, 2, 2], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [3, 3], [], [], [5], [2, 2, 2], [4], [5], [5]]
[[], [5], [5], [2, 2, 2], [], [5], [], [5], [5], [5], [5], [5], [5], [5], [5], [], [5], [5], [3, 3], [5], [5], [4], [5], [5], [2, 2, 2], [4], [2, 2], [5], [3, 3], [5], [5], [5], [5], [5], [3, 3], [], [5], [5], [2, 2, 2], [5], [], [3, 3], [5], [5]]
[[], [5], [5], [4], [5], [5], [5], [5], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [2, 2], [5], [5], [], [5], [5], [5], [5], [5], [], [5], [5], [], [2, 2, 2], [3, 3], [5], [5], [5], [5], [3, 3], [5], [5], [3, 3], [3, 3], [], [5], [4], [5], [5], [5], []]
[[], [2, 2], [5], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [5], [3, 3], [], [], [5], [5], [5], [5], [], [5], [5], [5], [], [5], [], [5], [5], [3, 3], [2, 2, 2], [5], [4], [5], [], [5], [5], [5], [2, 2, 2], [3, 3], [], [5], [5], [5], [5], [5], [3, 3]]
[[5], [5], [], [], [5], [5], [], [5], [2, 2, 2], [], [], [2, 2], [4], [5], [5], [5], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [5], [5], [3, 3], [4], [], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [3, 3], [5], [5], [5], [5], [5], [5], [2, 2, 2], []]
[[5], [5], [5], [2, 2, 2], [5], [5], [], [], [5], [5], [5], [5], [4], [5], [], [5], [5], [], [5], [5], [5], [3, 3], [5], [], [], [5], [], [5], [], [], [5], [2, 2, 2], [5], [3, 3], [4], [2, 2], [5], [2, 2, 2], [5], [5], [3, 3], [5], [], [5], [5], [5], [5], [3, 3]]
[[5], [5], [5], [2, 2], [5], [3], [5], [5], [2, 2], [5], [3], [4], [5], [5], [5], [], [5], [5], [5], [], [2], [5], [5], [3], [5], [3], [3], [5], [5], [5], [5], [2, 2], [5], [], [2, 2], [5], [5], [3], [3], [2, 2], [5], [], [3], [5], [], [5], [5], [4], [5]]
-EndAllocation

Instance: [[1], [193], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,49. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,49:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5]]
[[], [4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5], [5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5]]
[[5, 5, 5], [5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4], [5], [2, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5], [2, 5, 5, 5, 5], [4, 5, 5, 5, 5], [2, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5, 5, 5], [2, 2, 2, 5, 5, 5], [5, 5, 5, 5], [4, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [2, 2, 2, 2, 5], [4, 4, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5], [], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5], [5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5, 5], [4, 4, 5, 5], [5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5], [4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2, 5], [5, 5, 5]]
[[], [5, 5, 5], [4, 4, 4, 5], [], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5]]
[[], [], [5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [2, 2, 2, 2, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], [2, 2, 4, 4, 4]]
[[], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5], []]
[[5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5, 5], [4, 4, 4], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [2, 5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2, 2], [5, 5], [4, 5, 5], [5, 5], [5, 5], [2, 5, 5], [5, 5], [4, 4, 4], [5], [4, 4, 4]]
[[], [4, 5], [5, 5], [5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [5], [5, 5], [4, 4, 4], [4, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [2, 2, 5], [2, 5, 5], []]
[[], [5, 5], [5, 5], [], [], [4, 5], [2, 2, 2, 5], [2, 2, 2, 2, 2, 2], [5, 5], [4, 4, 4], [5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2]]
[[], [], [5, 5], [2, 2, 2, 2, 2, 2], [4, 4, 4], [], [5, 5], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 5], [5, 5], [2, 2, 2, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [5, 5], [5, 5], [2, 2, 2, 2, 2, 2], [2, 2, 2, 4], [5, 5], [5, 5], [], [], [5], [5, 5], [4, 4, 4], [2, 2, 2, 2, 2, 2], [5, 5], [5, 5], [4, 4, 4], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [], [5, 5], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [4, 4], [4, 4], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 5], [5, 5], [4, 4], [5, 5], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [], [5, 5], [5, 5]]
[[], [], [4, 4], [5, 5], [4], [5, 5], [5, 5], [], [5, 5], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [5, 5], [5, 5], [4, 4], [2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [5, 5], [5, 5], [5], [5, 5], [5, 5]]
[[], [], [5, 5], [2, 2, 2, 2, 2], [], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [], [2, 2, 2, 2, 2], [4, 5], [5, 5], [4, 4], [5, 5], [5, 5], [4, 4], [5, 5], [], [4, 4], [2, 2, 2, 2, 2], [5, 5]]
[[5], [5], [5], [5], [4, 5], [4, 5], [5], [4, 5], [2, 5], [4, 5], [2, 2, 5], [5], [5], [5], [5], [2, 2, 5], [4, 5], [5], [5], [2, 2, 5], [5], [2, 2, 5], [4, 5], [5], [2, 2, 2, 2], [2, 2, 5], [4, 5], [5]]
[[5], [5], [5], [4, 4], [4, 5], [2, 2, 5], [2, 2, 5], [5], [4, 5], [5], [5], [5], [5], [5], [4, 5], [5], [4, 5], [4, 5], [5], [5], [2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [2, 2, 2, 2]]
[[5], [2, 2, 5], [5], [5], [5], [5], [5], [4, 5], [5], [5], [2, 2, 5], [2, 2, 5], [5], [5], [2, 2, 5], [5], [2, 5], [4, 4], [5], [5], [4, 4], [5], [5], [5], [2, 2, 5], [5], [5], [2, 2, 5], [4, 4], [2, 2, 5]]
[[5], [5], [5], [5], [4, 5], [5], [5], [4, 5], [4, 5], [5], [5], [4, 5], [5], [5], [2, 2, 2], [5], [5], [4, 5], [4, 5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [2, 2, 2, 2], [2, 2, 2, 2], [4, 5], [5], [5], [5]]
[[5], [4, 4], [5], [2, 5], [5], [5], [4, 4], [5], [2, 2, 5], [5], [5], [5], [4, 5], [5], [5], [2, 2, 2, 2], [5], [2, 2, 5], [5], [5], [5], [2, 2, 5], [5], [5], [5], [5], [5], [5], [4, 4], [5], [2, 2, 2, 2], [5]]
[[5], [5], [2, 5], [4, 4], [2, 2, 2, 2], [5], [2, 5], [5], [4, 4], [5], [2, 5], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [5], [5], [2, 5], [5], [4], [5], [5], [2, 5], [5], [5], [5], [5], [5], [2, 5]]
[[5], [5], [2, 2, 2, 2], [5], [4, 4], [5], [5], [5], [5], [5], [2, 5], [5], [5], [4], [2, 2, 2, 2], [5], [5], [2, 5], [5], [2, 5], [5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [4, 4], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4], [5], [5], [2, 2, 2], [5], [5], [5], [5]]
[[5], [5], [5], [5], [4, 4], [5], [4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [4, 4], [2, 2, 2, 2], [5], [5], [], [5], [5], [5], [5], [5], [4, 4], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5]]
[[5], [], [5], [2, 5], [5], [2, 2, 2, 2], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [4], [5], [5], [5], [5], [], [5], [4, 4], [4, 4], [5], [2, 2, 2, 2], [5], [2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2, 2], [5], [4, 4], [], [4, 4], [5], [5], [5], [4, 4], [2, 2, 2, 2], [2, 2, 2], [5], [5], [5], [], [4], [5], [5], [5], [5], [5], [5], [], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4], [5], [5], [5], [4], [5], [2, 2, 2], [5], [4], [4], [5], [5], [4], [5], [5], [4], [2, 2, 2], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [5]]
[[5], [5], [2, 2, 2], [5], [4], [5], [4], [5], [5], [5], [5], [2, 2, 2], [5], [5], [4], [2, 2, 2], [5], [4], [], [4], [5], [5], [2, 2, 2], [5], [5], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [4], [4], [5], [5], [5], [5], [5]]
[[5], [5], [5], [5], [5], [5], [4], [5], [4], [4], [5], [5], [2, 2, 2], [4], [5], [4], [5], [5], [5], [5], [5], [5], [4], [2, 2, 2], [4], [5], [5], [5], [], [5], [5], [2, 2, 2], [5], [5], [5], [5], [], [5], [2, 2, 2], [2, 2, 2], [5]]
[[4], [5], [5], [5], [5], [5], [], [5], [5], [5], [5], [4], [5], [5], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [5], [2, 2], [2, 2, 2], [], [5], [4], [5], [2, 2, 2], [2, 4], [4], [5], [5], [5], [5], [4], [], [5], [5], [2, 2, 2]]
[[5], [5], [5], [], [5], [5], [5], [5], [5], [], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [4], [5], [2, 2, 2], [4], [5], [5], [4], [5], [2, 2, 2], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [], [4], [4], [2, 2, 2], [4], [5], [5]]
[[], [5], [5], [2, 2, 2], [], [5], [], [5], [5], [5], [5], [5], [4], [5], [5], [4], [5], [5], [5], [5], [5], [4], [5], [5], [2, 2, 2], [4], [2, 2, 2], [5], [5], [4], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [2, 2, 2], [5], [], [4], [5], [4]]
[[], [5], [5], [4], [5], [5], [4], [5], [5], [2, 2, 2], [5], [5], [], [2, 2, 2], [2, 2, 2], [5], [4], [], [4], [5], [5], [5], [5], [], [5], [5], [4], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [5], [2, 2, 2], [4], [], [5], [4], [5], [5], [5], [5]]
[[], [2, 2, 2], [5], [2, 2, 2], [5], [4], [4], [], [5], [5], [5], [5], [5], [], [], [2, 4], [4], [5], [5], [4], [5], [5], [5], [4], [5], [], [], [5], [5], [2, 2, 2], [5], [2, 4], [5], [2], [5], [5], [5], [2, 2, 2], [5], [], [5], [5], [5], [5], [5], [5]]
[[5], [5], [], [], [4], [5], [], [5], [2, 2, 2], [], [5], [2, 2, 2], [4], [4], [5], [4], [5], [2, 2, 2], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4], [], [], [4], [4], [5], [5], [5], [5], [5], [2, 2, 2], [], [5], [5], [5], [5], [5], [5], [2, 2, 2], []]
[[5], [5], [5], [2, 2, 2], [5], [5], [4], [], [5], [5], [2, 4], [5], [4], [5], [], [5], [5], [], [5], [5], [5], [5], [5], [], [], [5], [], [5], [], [], [5], [2, 2, 2], [5], [2, 2, 2], [4], [2, 4], [5], [2, 2, 2], [5], [5], [2], [4], [], [5], [5], [5], [5], [4]]
[[4], [], [5], [2, 2], [5], [5], [5], [5], [2, 2], [5], [4], [4], [2, 2], [5], [5], [], [5], [5], [5], [], [2, 2], [5], [5], [2], [5], [5], [5], [5], [], [5], [], [2, 2], [4], [4], [2, 2], [5], [5], [5], [5], [2, 2], [5], [], [5], [5], [4], [], [5], [4], [5]]
-EndAllocation

Instance: [[1], [200], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,50. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,50:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 4, 4], [3], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4], [3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5]]
[[], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [], [], [4, 4, 4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4, 4], [5, 5, 5], [5, 5, 5], [5, 5], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 5], [5, 5], [3, 5, 5], [4, 4, 5], [5, 5], [4, 5, 5], [5, 5], [4, 5, 5], [5, 5], [], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 3], [5], [3, 5, 5], [4, 4, 4], [4, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5, 5], [4, 5], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3], [4, 4, 4], [4, 5], [3, 5, 5], [], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [], [4, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [], [], [5, 5], [5], [3, 3, 5], [3, 3, 4], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [], [3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [5, 5]]
[[], [4, 4], [], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3], [3, 3, 3], [5, 5], [4, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], []]
[[5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [3, 5], [4, 4], [4, 5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 5], [5], [4, 5], [5], [4, 5], [3, 3], [5], [5]]
[[5], [5], [4, 4], [5], [4, 4], [4, 4], [3, 5], [5], [5], [3, 3, 3], [3, 5], [4, 5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [5], [3, 3, 3], [4, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [3, 5], [5], [5]]
[[5], [3, 5], [3, 5], [5], [3, 3, 3], [5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [], [4, 4], [5], [5], [3, 3, 3], [4, 4]]
[[5], [5], [3, 5], [], [5], [3, 3, 3], [], [3, 3, 3], [5], [3, 3, 3], [4, 5], [5], [5], [4, 5], [5], [4, 4], [4, 4], [5], [3, 5], [3, 3, 3], [5], [5], [5], [4, 4], [5], [4, 4], [], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5]]
[[5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [], [4, 4], [5], [5], [5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 5], [4, 4]]
[[5], [5], [5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [5], [5], [5], [5], [], [3, 3], [3, 5], [5], [3, 5], [3, 3], [], [3, 3], [4, 4], [4, 4], [5], [3, 3], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3]]
[[5], [4, 4], [3, 5], [], [3, 5], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [4, 4], [3, 3], [5], [4, 4], [5], [], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [5], [5], [], [3, 3], [3, 5], [4, 4], [3, 3], [4, 4], [5], [3, 5], [5], [5], [5], [5], [5], [3, 5], [3, 3], [], [3, 5], [], [5], [4, 4], [3, 5], [4, 4], [5], [3, 3], [3, 3], [3, 3], [3, 5], [5], [5], [3, 3], [], []]
[[5], [3, 5], [3, 3], [4, 4], [], [], [5], [3, 3], [5], [3, 5], [4, 4], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [3, 5], [], [5], [5], [3, 3], [3, 5], [], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [5], [4, 4], [4, 4], [5]]
[[5], [4, 4], [3, 3], [3, 3], [5], [3, 5], [4, 4], [5], [], [], [5], [5], [5], [5], [3, 3], [], [3, 3], [3, 3], [5], [], [4, 4], [3, 3], [5], [3, 3], [4, 4], [5], [5], [3, 5], [], [5], [5], [4, 4], [5], [5], [5], [5], [3], [3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [5], [4], [3, 3], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [3, 3], [3, 3], [4], [4], [5], [5], [4], [5], [4], [4], [5], [3, 3], [5], [4], [5], [3, 3]]
[[5], [4], [3, 3], [5], [5], [4], [5], [3, 3], [4], [4], [4], [], [5], [3, 3], [5], [3, 3], [5], [4], [3, 3], [5], [5], [3, 3], [5], [4], [4], [5], [3, 3], [4], [5], [5], [5], [5], [3, 3], [5], [5], [5], [3, 3], [4], [5], [5], [3, 3]]
[[4], [5], [3, 3], [3, 3], [4], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [4], [5], [5], [], [3, 3], [4], [3, 3], [5], [5], [5], [5], [4], [5], [5], [4], [3, 3], [4], [4], [3, 3], [4], [3, 3], [5], [5], [5], [5], [4], [5], [3, 3]]
[[5], [], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [4], [5], [4], [], [5], [3, 3], [5], [5], [4], [5], [3, 3], [5], [4], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [4], [4], [5], [3, 3], [5], [5], [4], [5], [5]]
[[4], [], [5], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [4], [5], [], [5], [5], [5], [], [5], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [4], [5], [5], [4], [3, 3], [5], [5], [4], [], [4], [3, 3], [5], [5], [3, 3]]
[[5], [3, 3], [], [4], [5], [4], [5], [5], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [4], [5], [], [], [3, 3], [5], [5], [5], [3, 3], [], [4], [4], [4], [], [3, 3], [4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [4], [4]]
[[5], [], [4], [5], [3, 3], [4], [3, 3], [], [5], [3, 3], [3, 3], [], [4], [5], [], [], [4], [5], [4], [5], [3, 3], [5], [5], [], [5], [4], [4], [5], [3, 3], [4], [5], [5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [3, 3]]
[[], [4], [5], [4], [5], [], [5], [3, 3], [4], [5], [5], [5], [5], [5], [5], [4], [5], [4], [3, 3], [], [4], [], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [5], [], [5], [5], [5], [5], [], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5]]
[[5], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5], [5], [5], [5], [5], [3, 3], [], [5], [4], [], [4], [], [5], [3, 3], [5], [], [4], [5], [4], [5], [], [4], [], [4], [5], [], [3, 3], [5], [4], [3, 3], [3, 3], [], [4], [5], [5], [5], [3, 3]]
[[5], [4], [], [4], [4], [4], [5], [4], [5], [5], [4], [], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [5], [3, 3], [], [], [4], [5], [4], [5], [], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [5], [5], [5], [3, 3], [], [], [4], [5], []]
[[4], [5], [3], [5], [3], [5], [3], [5], [4], [3], [3], [3], [4], [4], [3], [4], [5], [5], [5], [4], [3], [5], [5], [5], [3], [4], [4], [3], [5], [5], [5], [3], [5], [4], [3], [5], [5], [5], [3], [3], [5], [3], [3], [5], [3], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [199], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,50. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,50:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5]]
[[4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 4, 4], [3], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5]]
[[], [3, 3, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [], [3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4], [3, 3, 3, 3, 3, 3], [5], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [3], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [4, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5]]
[[], [3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4], [4, 4, 4, 4]]
[[], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [], [3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5], [4], [5, 5, 5], [5, 5, 5], [5, 5], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 5], [5, 5], [3, 5, 5], [4, 5], [5, 5], [4, 5, 5], [5, 5], [4, 5, 5], [5, 5], [], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 3], [], [3, 5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5, 5], [5, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 5, 5], [], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [], [], [5, 5], [5], [3, 5], [3, 3, 3, 3], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [5, 5], [3, 3, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [], [4], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [5, 5]]
[[], [4, 4], [], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3], [3, 3, 3], [5, 5], [3, 3, 4], [5, 5], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [4], [5, 5], [5, 5], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], []]
[[5], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [3, 5], [4, 4], [4, 5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 5], [5], [5], [5], [4, 5], [3, 3, 3], [5], [5]]
[[5], [5], [4, 5], [5], [4, 4], [4, 4], [3, 5], [5], [5], [3, 3, 3], [3, 3], [4, 5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [5], [3, 3, 3], [4, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 3], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 5], [5], [5], [5], [3, 5], [5], [5]]
[[5], [3, 5], [3, 5], [3, 5], [3, 3, 3], [5], [5], [4, 4], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [], [4, 4], [5], [5], [3, 3, 3], [4]]
[[5], [5], [3, 5], [5], [5], [3, 3, 3], [], [3, 3, 3], [5], [3, 3, 3], [4, 5], [5], [5], [5], [5], [4, 4], [4, 4], [5], [3, 3], [3, 3, 3], [5], [5], [5], [4, 4], [5], [4, 4], [], [5], [5], [5], [3, 3, 3], [3, 3, 3], [5]]
[[5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [5], [4, 4], [5], [5], [5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 5], [4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4, 4]]
[[5], [5], [5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [5], [5], [5], [5], [], [3, 3], [3, 5], [5], [3, 5], [3, 3], [], [3, 3], [3, 4], [4, 4], [5], [3, 3], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3]]
[[5], [3, 4], [3, 5], [], [3, 5], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [5], [5], [5], [4, 4], [5], [5], [4, 4], [3, 3], [5], [4, 4], [5], [], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 3]]
[[5], [5], [4], [5], [5], [5], [3, 3], [3, 5], [4, 4], [3, 3], [4, 4], [5], [3, 5], [5], [5], [5], [5], [5], [3, 5], [3, 3], [], [3, 5], [], [5], [4, 4], [3, 5], [4, 4], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [], []]
[[5], [3, 5], [3, 3], [4], [], [], [5], [3, 3], [5], [3, 5], [4, 4], [3, 5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [3, 5], [], [5], [5], [3, 3], [3, 5], [], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [5], [4, 4], [4, 4], [5]]
[[5], [4, 4], [3, 3], [3, 3], [5], [3, 5], [4, 4], [5], [], [], [5], [5], [5], [5], [3, 3], [], [3, 3], [3, 3], [5], [], [3, 4], [3, 3], [5], [3, 3], [4, 4], [5], [5], [3, 5], [], [5], [5], [4, 4], [5], [5], [5], [5], [3], [3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [5], [4], [3, 3], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [3, 3], [3, 3], [4], [5], [3], [5], [4], [5], [4], [4], [5], [3, 3], [5], [4], [5], [3, 3]]
[[5], [4], [3, 3], [5], [5], [5], [5], [3, 3], [4], [4], [4], [], [5], [3, 3], [5], [3, 3], [5], [4], [3, 3], [5], [5], [3, 3], [5], [4], [4], [5], [3, 3], [4], [5], [5], [5], [5], [3, 3], [5], [5], [3], [3, 3], [4], [5], [5], [3, 3]]
[[4], [5], [3, 3], [3, 3], [4], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [4], [5], [5], [], [3, 3], [4], [3, 3], [5], [5], [5], [5], [4], [5], [5], [5], [3, 3], [4], [4], [3, 3], [4], [3, 3], [5], [3], [5], [5], [4], [5], [3, 3]]
[[5], [], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [4], [5], [4], [], [3], [3, 3], [5], [5], [4], [5], [3, 3], [5], [4], [4], [5], [3, 3], [3, 3], [5], [5], [5], [5], [4], [4], [5], [3, 3], [5], [5], [4], [5], [5]]
[[4], [], [5], [4], [5], [3, 3], [], [3, 3], [5], [3, 3], [5], [5], [4], [5], [5], [3], [5], [5], [], [5], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [4], [5], [5], [4], [3, 3], [5], [5], [4], [], [4], [3, 3], [5], [5], [3, 3]]
[[5], [3, 3], [], [4], [5], [4], [5], [3], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [4], [5], [], [], [3, 3], [5], [5], [5], [3, 3], [], [4], [5], [4], [], [3, 3], [4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [4], [4]]
[[5], [], [4], [5], [3, 3], [4], [3, 3], [3], [5], [3, 3], [3, 3], [], [], [5], [], [], [4], [5], [4], [5], [3, 3], [5], [5], [], [5], [4], [4], [5], [3, 3], [4], [5], [5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [3, 3]]
[[5], [4], [5], [4], [5], [], [5], [3, 3], [4], [5], [5], [5], [5], [3], [5], [4], [5], [4], [3, 3], [], [4], [], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [5], [3, 3], [4], [], [5], [], [5], [5], [5], [5], [], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5]]
[[5], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5], [5], [3], [5], [5], [3, 3], [5], [5], [4], [], [4], [], [5], [3, 3], [5], [], [4], [5], [], [5], [], [4], [], [4], [5], [], [3, 3], [5], [4], [3, 3], [3, 3], [], [4], [5], [5], [5], [3, 3]]
[[5], [4], [], [4], [4], [4], [5], [4], [5], [5], [4], [], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [], [3, 3], [], [], [4], [5], [4], [5], [], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [5], [5], [5], [3, 3], [], [3], [5], [5], []]
[[4], [5], [3], [5], [3], [5], [3], [5], [4], [3], [3], [3], [4], [4], [3], [4], [5], [5], [5], [4], [3], [5], [5], [5], [3], [3], [4], [3], [5], [5], [5], [3], [5], [4], [3], [5], [5], [5], [3], [3], [5], [3], [3], [5], [3], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [198], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,50. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,50:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5], [5, 5, 5, 5], [4, 4, 4, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [5, 5, 5], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5, 5], [3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [5, 5, 5], [3, 3, 3, 3, 3, 3], [4, 4], [3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [3], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [4, 4, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5, 5]]
[[], [3], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[5], [4, 5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [5, 5], [3, 3, 3, 5], [5, 5], [3, 5, 5], [4, 4], [5, 5], [4, 5, 5], [5, 5], [4, 5, 5], [5, 5], [], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 3], [], [3, 5, 5], [4, 4, 4], [4, 5], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5, 5], [4, 5], [3, 5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 5], [5, 5], [], [3, 5], [4, 4, 4], [3, 3, 3, 3], [5], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [], [3, 3, 3, 3], [3], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [], [4, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [], [], [5, 5], [5], [3, 3, 3], [3, 3, 4], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [3, 5], [5, 5], [4, 4], [5, 5], [4, 4], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [5, 5], [3, 3, 3], [4, 4], [], [3, 3, 3], [5, 5], [5], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [5, 5]]
[[], [4, 4], [], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5, 5], [4, 4], [5], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [3, 3, 3], [5, 5], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [5, 5], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], [5, 5], [5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], []]
[[], [5], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [3, 5], [4, 4], [4, 5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 5], [5], [4, 5], [5], [4, 5], [3, 3, 3], [5], [5]]
[[5], [5], [4, 4], [5], [4, 4], [4, 4], [3, 5], [5], [5], [3, 3, 3], [3, 3], [4, 5], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [5], [3, 3, 3], [4, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 3], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [5], [5], [5], [5], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [5], [5], [5], [3, 5], [5], [5]]
[[5], [3, 5], [3, 5], [3, 5], [3, 3, 3], [5], [5], [4, 4], [4, 4], [5], [5], [5], [], [5], [3, 3, 3], [4, 4], [5], [5], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [], [4, 4], [5], [5], [3, 3, 3], [4, 4]]
[[5], [5], [3, 5], [5], [5], [3, 3], [5], [3, 3], [3, 5], [3, 3], [5], [5], [3, 5], [4, 4], [3, 3], [4, 4], [4, 4], [5], [3, 3], [3, 3], [5], [5], [3, 5], [4, 4], [5], [4, 4], [], [3, 5], [5], [5], [3, 3], [3, 3], [5]]
[[5], [5], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [], [4, 4], [5], [5], [5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 5], [4, 4], [3, 3], [3, 3], [3, 3], [5], [5], [5], [3, 3], [4, 4]]
[[5], [5], [3, 5], [5], [3, 3], [4, 4], [3, 3], [5], [3, 5], [5], [4, 4], [5], [5], [], [5], [], [3, 3], [3, 5], [5], [3, 5], [3, 3], [], [3, 3], [4, 4], [4, 4], [5], [3, 3], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3]]
[[5], [4, 4], [3, 5], [], [3, 5], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [], [5], [5], [4, 4], [5], [5], [4, 4], [3, 3], [3, 5], [4, 4], [5], [], [5], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [5], [5], [], [3, 3], [3, 5], [4, 4], [3, 3], [4, 4], [5], [3, 5], [5], [5], [5], [5], [5], [3, 5], [3, 3], [], [3, 5], [], [5], [4, 4], [3, 5], [4, 4], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [], []]
[[5], [3, 5], [3, 3], [4, 4], [], [], [5], [3, 3], [5], [3, 5], [4, 4], [3, 5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [4, 4], [3, 5], [], [], [5], [3, 3], [3, 5], [], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [5], [4, 4], [4, 4], [5]]
[[5], [4, 4], [3, 3], [3, 3], [5], [3, 5], [4, 4], [5], [], [], [5], [5], [5], [5], [3, 3], [], [3, 3], [3, 3], [5], [], [4, 4], [3, 3], [5], [3, 3], [4, 4], [5], [5], [3, 5], [], [5], [5], [4, 4], [5], [5], [5], [], [3, 3], [3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [5], [4], [3, 3], [5], [5], [5], [5], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [3, 3], [3, 3], [4], [5], [4], [3, 3], [3, 3], [4], [4], [3], [5], [4], [5], [4], [4], [5], [3, 3], [5], [4], [5], [3, 3]]
[[5], [4], [3, 3], [5], [5], [4], [5], [3, 3], [4], [4], [4], [], [5], [3, 3], [5], [3, 3], [5], [4], [3, 3], [5], [5], [3, 3], [5], [4], [4], [5], [3, 3], [4], [5], [5], [5], [5], [3, 3], [5], [5], [3], [3, 3], [4], [5], [5], [3, 3]]
[[4], [5], [3, 3], [3, 3], [4], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [4], [5], [5], [], [3, 3], [4], [3, 3], [5], [5], [5], [5], [4], [5], [5], [4], [3, 3], [4], [4], [3, 3], [4], [3, 3], [5], [3], [5], [5], [4], [5], [3, 3]]
[[5], [], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [4], [5], [4], [], [3], [3, 3], [5], [5], [4], [5], [3, 3], [5], [4], [4], [5], [3, 3], [3, 3], [5], [5], [4], [5], [4], [4], [5], [3, 3], [5], [5], [4], [5], [5]]
[[4], [], [5], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [4], [5], [], [3], [5], [5], [], [5], [4], [5], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [4], [5], [5], [4], [3, 3], [5], [5], [4], [], [4], [3, 3], [5], [5], [3, 3]]
[[5], [3, 3], [], [4], [5], [4], [5], [3], [5], [5], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [4], [5], [], [], [3, 3], [5], [5], [5], [3, 3], [], [4], [4], [4], [], [3, 3], [4], [3, 3], [3, 3], [5], [5], [5], [5], [5], [4], [4]]
[[5], [], [4], [5], [3, 3], [4], [3, 3], [3], [5], [3, 3], [3, 3], [], [4], [5], [], [], [4], [5], [4], [5], [3, 3], [5], [5], [], [5], [4], [4], [5], [3, 3], [4], [5], [], [4], [3, 3], [3, 3], [5], [5], [3, 3], [5], [5], [4], [5], [5], [5], [5], [3, 3]]
[[], [4], [5], [4], [5], [], [5], [3, 3], [4], [5], [5], [5], [5], [3], [5], [4], [5], [4], [3, 3], [], [4], [], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [5], [], [5], [5], [5], [5], [], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5]]
[[5], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5], [5], [3], [5], [5], [3, 3], [], [5], [4], [], [4], [], [5], [3, 3], [5], [], [4], [5], [4], [5], [], [4], [], [4], [5], [], [3, 3], [5], [4], [3, 3], [3, 3], [], [4], [5], [5], [5], [3, 3]]
[[5], [4], [], [4], [4], [4], [5], [4], [5], [5], [4], [], [3, 3], [5], [3, 3], [5], [3, 3], [3, 3], [], [3, 3], [], [], [4], [5], [4], [5], [], [5], [5], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [5], [5], [5], [3, 3], [], [3], [4], [5], []]
[[4], [5], [3], [5], [3], [5], [3], [5], [4], [3], [3], [3], [4], [4], [3], [4], [5], [5], [5], [4], [3], [5], [5], [5], [3], [4], [4], [3], [5], [5], [5], [3], [5], [4], [3], [3], [5], [5], [3], [3], [5], [3], [3], [5], [3], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [197], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]; Results for m' = 2,...,50. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4]
Allocation for m' = 2,...,50:
-StartAllocation
[[3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 3, 3, 3, 3, 3, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 4, 4, 4, 4, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [5, 5, 5, 5, 5], [3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3], [5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [4, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 5, 5], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [4, 4, 4, 5], [5, 5, 5, 5], [], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [3, 3, 4, 4, 4], [5, 5, 5, 5]]
[[], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [4], [3, 3, 3, 3, 3, 3], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [4], [3, 3, 3, 3, 3], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [5, 5]]
[[], [4], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3, 3], [5, 5, 5], [5, 5], [5, 5, 5], [], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [4, 5, 5], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4, 4, 4], [4, 5, 5], [3, 3, 5], [5, 5], [3, 5, 5], [4, 4, 4], [5, 5], [4, 5, 5], [4, 5, 5], [4, 5, 5], [], [], [3, 5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [4, 4, 4], [3, 3, 3, 3], [], [3, 5, 5], [4, 4, 4], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5], [5, 5], [3, 3, 3, 4], [5, 5], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [3, 3, 3, 3], [], [5, 5], [5, 5], [4, 4, 4], [4, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [], [5, 5], [4, 4, 4]]
[[], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [4, 4, 4], [5, 5], [4], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [4, 4, 4], [5], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5]]
[[], [5], [5, 5], [5, 5], [], [3, 3, 3, 3], [4], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4, 4], [], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3]]
[[], [4, 4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [4, 5], [5, 5], [], [3, 3, 3, 3], [5, 5], [4, 4, 4], [], [], [5, 5], [], [3, 3, 3, 3], [4, 4, 4], [3, 3, 3, 3], [], [5, 5], [3, 3, 3, 3], [5, 5], [4, 4, 4]]
[[], [3, 3, 3], [], [5, 5], [3, 3, 3], [4, 4], [], [5, 5], [4, 4], [5, 5], [5, 5], [5, 5], [4, 4], [3, 3, 3], [5, 5], [5, 5], [4, 4], [4, 4], [4, 4], [3, 3, 3], [4, 5], [3, 3, 3], [3, 3, 3], [3, 3], [5, 5]]
[[], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [4, 4], [5, 5], [3, 3, 3], [5, 5], [3, 3, 3], [5, 5], [4, 5], [3, 3, 3], [4, 4], [4, 4], [3, 3], [5, 5], [], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [5, 5]]
[[], [4, 4], [4, 4], [], [4, 4], [3, 3, 3], [3, 3, 3], [5, 5], [3, 3, 3], [3, 3], [3, 3, 4], [5, 5], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [], [4, 4], [3, 3, 3], [4, 4], [5, 5], [5, 5], [3, 5], [], [5, 5], [5, 5]]
[[], [5, 5], [4, 4], [4, 4], [3, 3, 3], [3, 3, 3], [], [4, 4], [5, 5], [3, 3, 3], [], [3, 3, 3], [5, 5], [5, 5], [4, 5], [3, 3, 3], [], [4, 4], [4, 4], [5, 5], [5, 5], [], [4, 4], [], [3, 3, 3], [5, 5], [5, 5], [3, 3]]
[[], [4, 4], [3, 3, 3], [5], [3, 3, 3], [5], [5], [5], [3, 3, 3], [5], [5], [4, 5], [3, 3, 3], [3, 5], [3, 5], [4, 4], [4, 5], [3, 3, 3], [4, 4], [5], [4, 4], [3, 5], [5], [4, 4], [5], [4, 5], [3, 3], [5], [5]]
[[5], [5], [4, 4], [], [4, 4], [4, 4], [3, 5], [5], [5], [3, 3, 3], [3, 5], [4, 4], [3, 3, 3], [3, 3, 3], [5], [5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [5], [5], [5], [4, 4], [3, 3, 3], [4, 5], [5], [3, 3, 3]]
[[5], [3, 3, 3], [4, 4], [4, 4], [5], [5], [5], [5], [4, 4], [3, 3, 3], [3, 5], [3, 3, 3], [5], [3, 3, 3], [3, 3, 3], [], [5], [4, 4], [], [5], [4, 4], [5], [5], [3, 3, 3], [4, 4], [5], [5], [4, 5], [3, 5], [5], [5]]
[[5], [4, 5], [3, 5], [3, 5], [3, 3, 3], [5], [5], [4, 4], [4, 4], [4, 4], [5], [5], [], [5], [3, 3, 3], [4, 4], [5], [], [5], [5], [5], [3, 3, 3], [3, 3, 3], [3, 3, 3], [5], [5], [], [4, 4], [5], [5], [3, 3, 3], [4, 4]]
[[5], [5], [3, 5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [4, 4], [3, 3], [4, 4], [4, 4], [5], [3, 3], [3, 3], [5], [5], [3, 5], [4, 4], [4], [4, 4], [], [3, 5], [5], [5], [3, 3], [3, 3], [4, 4]]
[[5], [4, 4], [5], [3, 3], [5], [3, 3], [5], [5], [3, 5], [4], [4, 4], [5], [5], [5], [3, 3], [4, 4], [4, 4], [5], [3, 3], [5], [5], [5], [3, 5], [3, 3], [3, 5], [4, 4], [3, 3], [3, 3], [3, 3], [], [5], [], [3, 5], [4, 4]]
[[5], [5], [4], [5], [3, 3], [4, 4], [3, 3], [5], [3, 5], [4, 4], [4, 4], [5], [5], [], [5], [], [3, 3], [3, 5], [5], [3, 5], [3, 3], [], [3, 3], [4, 4], [4, 4], [5], [3, 3], [3, 5], [5], [5], [5], [5], [4, 4], [3, 3], [3, 3]]
[[5], [4, 4], [3, 5], [4], [3, 5], [3, 3], [5], [5], [5], [3, 3], [5], [3, 3], [5], [3, 3], [5], [5], [5], [], [5], [4, 4], [4, 4], [5], [5], [4, 4], [3, 3], [5], [4, 4], [5], [], [], [3, 3], [3, 3], [4, 4], [5], [3, 3], [3, 3]]
[[5], [5], [4, 4], [5], [5], [], [3, 3], [3, 5], [4, 4], [3, 3], [4, 4], [5], [3, 5], [5], [5], [5], [5], [5], [3, 5], [3, 3], [4], [3, 5], [], [], [4, 4], [4, 4], [4, 4], [5], [3, 3], [3, 3], [3, 3], [3, 3], [5], [5], [3, 3], [], []]
[[], [3, 5], [3, 3], [4, 4], [], [], [5], [3, 3], [5], [3, 5], [4, 4], [5], [5], [3, 3], [4], [3, 3], [5], [3, 3], [4, 4], [3, 5], [], [4, 4], [5], [3, 3], [3, 5], [], [3, 3], [3, 3], [5], [5], [5], [5], [], [5], [5], [4, 4], [4, 4], [5]]
[[5], [4, 4], [3, 3], [3, 3], [5], [3, 5], [4, 4], [5], [], [], [5], [5], [5], [5], [3, 3], [], [3, 4], [3, 3], [5], [], [4, 4], [3, 3], [], [3, 3], [4, 4], [5], [5], [3, 5], [4, 4], [5], [5], [4, 4], [5], [], [5], [], [3, 3], [3, 3], [3, 5]]
[[5], [5], [5], [5], [5], [5], [4], [4], [5], [5], [5], [4], [4], [3, 3], [3, 3], [5], [5], [3, 3], [3, 3], [3, 3], [3, 3], [4], [5], [4], [3, 3], [3, 3], [4], [4], [4], [5], [4], [5], [4], [4], [5], [3, 3], [5], [4], [5], [3, 3]]
[[5], [4], [3, 3], [5], [5], [4], [], [3, 3], [4], [4], [4], [3, 3], [5], [3, 3], [5], [4], [5], [4], [3, 3], [3, 3], [5], [3, 3], [5], [4], [4], [5], [3, 3], [4], [5], [5], [5], [5], [4], [5], [5], [4], [3, 3], [4], [5], [5], [3, 3]]
[[4], [5], [3, 3], [3, 3], [4], [5], [3, 3], [3, 3], [5], [], [5], [5], [5], [5], [4], [5], [5], [4], [3, 3], [4], [3, 3], [], [5], [5], [5], [4], [5], [4], [4], [3, 3], [4], [4], [3, 3], [4], [3, 3], [5], [5], [5], [4], [4], [5], [3, 3]]
[[4], [], [3, 3], [4], [3, 3], [5], [5], [3, 3], [5], [], [3, 3], [5], [3, 3], [4], [5], [4], [], [3, 3], [3, 3], [5], [5], [4], [5], [3, 3], [5], [4], [4], [5], [3, 3], [4], [5], [5], [4], [5], [4], [4], [4], [3, 3], [5], [5], [4], [5], [5]]
[[4], [4], [5], [4], [5], [3, 3], [4], [3, 3], [5], [3, 3], [5], [5], [4], [5], [], [4], [5], [5], [], [5], [4], [], [5], [5], [3, 3], [3, 3], [3, 3], [4], [3, 3], [5], [4], [5], [], [4], [3, 3], [5], [5], [4], [4], [4], [3, 3], [5], [5], [3, 3]]
[[5], [3, 3], [], [4], [5], [4], [5], [3, 3], [5], [4], [5], [5], [3, 3], [3, 3], [5], [3, 3], [3, 3], [5], [5], [4], [4], [5], [], [], [4], [5], [5], [5], [3, 3], [], [4], [4], [4], [], [3, 3], [4], [3, 3], [3, 3], [4], [5], [5], [5], [5], [4], [4]]
[[5], [], [4], [5], [3, 3], [4], [3, 3], [], [5], [3, 3], [3, 3], [4], [4], [5], [4], [], [4], [5], [4], [5], [3, 3], [4], [5], [], [5], [4], [4], [5], [3, 3], [4], [5], [], [4], [3, 3], [3, 3], [5], [], [3, 3], [5], [5], [4], [5], [5], [5], [5], [3, 3]]
[[], [4], [5], [4], [5], [4], [], [3, 3], [4], [5], [5], [5], [4], [5], [5], [4], [5], [4], [3, 3], [], [4], [], [3, 3], [3, 3], [], [4], [3, 3], [3, 3], [5], [3, 3], [4], [4], [4], [], [5], [5], [5], [5], [], [3, 3], [3, 3], [3, 3], [5], [5], [5], [4], [5]]
[[5], [4], [5], [5], [3, 3], [3, 3], [3, 3], [5], [3, 3], [5], [4], [5], [4], [5], [5], [5], [3, 3], [4], [5], [4], [], [4], [], [5], [3, 3], [5], [], [4], [5], [4], [4], [], [4], [], [4], [5], [], [3, 3], [5], [4], [3, 3], [3, 3], [], [4], [], [5], [5], [3, 3]]
[[5], [4], [4], [4], [4], [4], [5], [4], [5], [5], [4], [], [3, 3], [], [3, 3], [5], [3, 3], [3, 3], [], [3, 3], [], [], [4], [5], [4], [5], [], [5], [], [5], [5], [3, 3], [4], [5], [3, 3], [5], [5], [3, 3], [], [3, 3], [5], [5], [5], [3, 3], [], [4], [4], [5], [4]]
[[4], [5], [3], [5], [3], [5], [3], [5], [4], [3], [3], [3], [4], [4], [3], [4], [5], [5], [5], [4], [3], [5], [4], [5], [3], [4], [4], [3], [5], [5], [5], [3], [5], [4], [3], [4], [5], [5], [3], [4], [5], [3], [3], [3], [3], [5], [4], [3], [3], [3]]
-EndAllocation

Instance: [[1], [18], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6]; Results for m' = 2,...,4. UB Alg: [12, 8, 6], Opt: [9, 6, 5]
Allocation for m' = 2,...,4:
-StartAllocation
[[6, 6], [6]]
[[6], [6], [6]]
[[], [6], [6], [6]]
-EndAllocation

Instance: [[1], [17], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6]; Results for m' = 2,...,4. UB Alg: [12, 8, 6], Opt: [9, 6, 5]
Allocation for m' = 2,...,4:
-StartAllocation
[[5, 6], [6]]
[[6], [5], [6]]
[[], [6], [5], [6]]
-EndAllocation

Instance: [[1], [25], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6]; Results for m' = 2,...,5. UB Alg: [17, 12, 9, 6], Opt: [13, 9, 7, 5]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 4, 5], [6, 6]]
[[5, 6], [4, 4], [6]]
[[4, 5], [6], [6], [4]]
[[6], [4], [5], [4], [6]]
-EndAllocation

Instance: [[1], [24], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 6]; Results for m' = 2,...,5. UB Alg: [16, 10, 8, 6], Opt: [12, 8, 6, 5]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 4, 6], [5, 5]]
[[5, 5], [4, 4], [6]]
[[4, 4], [5], [5], [6]]
[[6], [4], [5], [5], [4]]
-EndAllocation

Instance: [[1], [23], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6]; Results for m' = 2,...,5. UB Alg: [16, 10, 8, 6], Opt: [12, 8, 6, 5]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 6], [4, 4, 4]]
[[4, 5], [4, 4], [6]]
[[4, 4], [5], [6], [4]]
[[4], [4], [5], [6], [4]]
-EndAllocation

Instance: [[1], [22], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5]; Results for m' = 2,...,5. UB Alg: [14, 10, 8, 6], Opt: [11, 8, 6, 5]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 5, 5], [4, 4]]
[[5, 5], [4, 4], [4]]
[[5], [5], [4, 4], [4]]
[[5], [4], [4], [4], [5]]
-EndAllocation

Instance: [[1], [21], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5]; Results for m' = 2,...,5. UB Alg: [14, 9, 8, 6], Opt: [11, 7, 6, 5]
Allocation for m' = 2,...,5:
-StartAllocation
[[4, 4, 5], [4, 4]]
[[4, 4], [4, 4], [5]]
[[4, 4], [4, 4], [], [5]]
[[4], [4], [4], [4], [5]]
-EndAllocation

Instance: [[1], [30], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 6]; Results for m' = 2,...,6. UB Alg: [20, 13, 10, 8, 6], Opt: [15, 10, 8, 6, 5]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 6, 6], [4, 4, 4]]
[[4, 4, 4], [6], [6, 6]]
[[4, 6], [6], [6], [4, 4]]
[[4, 4], [6], [6], [6], [4]]
[[6], [6], [4], [6], [4], [4]]
-EndAllocation

Instance: [[1], [29], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6, 6]; Results for m' = 2,...,6. UB Alg: [20, 13, 10, 8, 6], Opt: [15, 10, 8, 6, 5]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 6, 6], [4, 4, 4]]
[[4, 4, 4], [6], [5, 6]]
[[4, 6], [6], [5], [4, 4]]
[[4, 4], [6], [6], [5], [4]]
[[6], [6], [4], [5], [4], [4]]
-EndAllocation

Instance: [[1], [28], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6]; Results for m' = 2,...,6. UB Alg: [18, 13, 9, 8, 6], Opt: [14, 10, 7, 6, 5]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 4, 4, 4], [6, 6]]
[[6, 6], [4], [4, 4, 4]]
[[4, 4], [6], [4, 4], [6]]
[[4, 4], [4, 4], [], [6], [6]]
[[6], [4], [6], [4], [4], [4]]
-EndAllocation

Instance: [[1], [27], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 6]; Results for m' = 2,...,6. UB Alg: [18, 12, 9, 8, 6], Opt: [14, 9, 7, 6, 5]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 4, 4, 5], [4, 6]]
[[5, 6], [4], [4, 4, 4]]
[[4, 5], [4], [4, 4], [6]]
[[4, 4], [4, 4], [5], [6], []]
[[6], [4], [5], [4], [4], [4]]
-EndAllocation

Instance: [[1], [26], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6]; Results for m' = 2,...,6. UB Alg: [17, 12, 9, 8, 6], Opt: [13, 9, 7, 6, 5]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 6, 6], [5, 5]]
[[4, 6], [5, 5], [6]]
[[4, 5], [5], [6], [6]]
[[5], [5], [4], [6], [6]]
[[5], [4], [6], [], [6], [5]]
-EndAllocation

Instance: [[1], [35], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6, 6, 6]; Results for m' = 2,...,7. UB Alg: [24, 16, 12, 9, 8, 6], Opt: [18, 12, 9, 7, 6, 5]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 6, 6, 6], [4, 4, 5]]
[[4, 6, 6], [5], [4, 4, 6]]
[[5, 6], [], [6, 6], [4, 4, 4]]
[[6], [4, 4], [4, 5], [6], [6]]
[[4, 4], [5], [6], [6], [4], [6]]
[[4], [6], [4], [5], [6], [4], [6]]
-EndAllocation

Instance: [[1], [34], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6, 6]; Results for m' = 2,...,7. UB Alg: [22, 16, 12, 9, 8, 6], Opt: [17, 12, 9, 7, 6, 5]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 4, 4, 6], [6, 6]]
[[4, 6, 6], [4, 4, 4], [6]]
[[6, 6], [], [4, 4, 4], [4, 6]]
[[6], [6], [4, 4], [6], [4, 4]]
[[4, 4], [6], [6], [4, 4], [6], []]
[[4], [4], [6], [6], [4], [6], [4]]
-EndAllocation

Instance: [[1], [33], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6]; Results for m' = 2,...,7. UB Alg: [22, 14, 12, 9, 8, 6], Opt: [17, 11, 9, 7, 6, 5]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 5, 6, 6], [6, 6]]
[[6, 6], [4, 5], [6, 6]]
[[6, 6], [], [6, 6], [4, 5]]
[[6], [6], [6], [4, 5], [6]]
[[6], [6], [6], [4], [6], [5]]
[[], [4], [5], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [32], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 4, 6, 6, 6, 6]; Results for m' = 2,...,7. UB Alg: [21, 14, 10, 9, 8, 6], Opt: [16, 11, 8, 7, 6, 5]
Allocation for m' = 2,...,7:
-StartAllocation
[[6, 6], [2, 2, 4, 6, 6]]
[[6], [2, 2, 4, 6], [6, 6]]
[[6], [2, 2, 6], [4, 6], [6]]
[[2, 2, 4], [6], [6], [6], [6]]
[[6], [6], [2, 2, 4], [6], [], [6]]
[[4], [6], [6], [6], [], [6], [2, 2]]
-EndAllocation

Instance: [[1], [31], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6]; Results for m' = 2,...,7. UB Alg: [21, 14, 10, 9, 8, 6], Opt: [16, 11, 8, 7, 6, 5]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 5, 5, 5], [6, 6]]
[[4, 5], [5, 5], [6, 6]]
[[5, 5], [6], [6], [4, 5]]
[[6], [5], [4, 5], [6], [5]]
[[4], [6], [5], [5], [6], [5]]
[[6], [5], [6], [5], [5], [4], []]
-EndAllocation

Instance: [[1], [40], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 5, 5, 6, 6]; Results for m' = 2,...,8. UB Alg: [26, 18, 13, 10, 9, 8, 6], Opt: [20, 14, 10, 8, 7, 6, 5]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 5], [4, 4, 5, 6, 6]]
[[4, 4, 5], [6, 6], [5, 5, 5]]
[[5, 5], [6, 6], [5, 5], [4, 4]]
[[5, 5], [4, 4], [6], [6], [5, 5]]
[[4, 5], [4, 5], [6], [5], [6], [5]]
[[6], [5], [5], [4, 4], [5], [5], [6]]
[[6], [4], [5], [6], [5], [5], [5], [4]]
-EndAllocation

Instance: [[1], [39], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 6, 6]; Results for m' = 2,...,8. UB Alg: [26, 17, 13, 10, 9, 8, 6], Opt: [20, 13, 10, 8, 7, 6, 5]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 5], [4, 4, 4, 6, 6]]
[[5, 5, 5], [6, 6], [4, 4, 4]]
[[5, 5], [6, 6], [5], [4, 4, 4]]
[[5, 5], [4, 4], [6], [4, 6], [5]]
[[4, 5], [4, 5], [4], [6], [6], [5]]
[[4, 4], [5], [5], [4], [5], [6], [6]]
[[6], [4], [4], [6], [5], [5], [5], [4]]
-EndAllocation

Instance: [[1], [38], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 6, 6]; Results for m' = 2,...,8. UB Alg: [25, 17, 13, 10, 9, 8, 6], Opt: [19, 13, 10, 8, 7, 6, 5]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 6], [4, 4, 4, 4, 6]]
[[5, 6, 6], [4, 4, 4, 4], [5]]
[[4, 6], [5, 5], [4, 4, 4], [6]]
[[4, 5], [4, 6], [6], [5], [4, 4]]
[[4, 4], [6], [6], [4, 4], [5], [5]]
[[4, 4], [6], [5], [6], [4, 4], [], [5]]
[[4], [5], [6], [4], [4], [4], [5], [6]]
-EndAllocation

Instance: [[1], [37], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 6]; Results for m' = 2,...,8. UB Alg: [25, 17, 13, 10, 9, 8, 6], Opt: [19, 13, 10, 8, 7, 6, 5]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 5], [4, 4, 4, 4, 6]]
[[5, 5, 6], [4, 4, 4, 4], [5]]
[[4, 4, 5], [5, 5], [4, 4], [6]]
[[4, 5], [4, 6], [5, 5], [], [4, 4]]
[[4, 4], [6], [5], [4, 4], [5], [5]]
[[4, 4], [5], [5], [6], [4, 4], [], [5]]
[[4], [5], [5], [4], [4], [4], [5], [6]]
-EndAllocation

Instance: [[1], [36], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 6]; Results for m' = 2,...,8. UB Alg: [24, 16, 12, 10, 8, 8, 6], Opt: [18, 12, 9, 8, 6, 6, 5]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 6], [4, 4, 4, 4, 4]]
[[5, 5, 6], [4, 4, 4, 4], [4]]
[[4, 4, 4], [5], [4, 4], [5, 6]]
[[4, 4], [4, 6], [5, 5], [], [4, 4]]
[[4, 4], [6], [4, 4], [4], [5], [5]]
[[4, 4], [4, 4], [5], [6], [4], [], [5]]
[[4], [5], [5], [4], [4], [4], [4], [6]]
-EndAllocation

Instance: [[1], [45], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 6, 6, 6]; Results for m' = 2,...,9. UB Alg: [30, 20, 16, 12, 10, 9, 8, 6], Opt: [23, 15, 12, 9, 8, 7, 6, 5]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 5, 5, 5], [6, 6, 6]]
[[6, 6, 6], [5, 5, 5], [4, 4, 4]]
[[4, 6, 6], [6], [4, 4], [5, 5, 5]]
[[5, 5], [5], [6, 6], [4, 4, 4], [6]]
[[5, 5], [4, 4], [5], [6], [6], [4, 6]]
[[4, 5], [6], [6], [5], [5], [4, 4], [6]]
[[4, 4], [5], [5], [5], [6], [6], [4], [6]]
[[4], [4], [6], [6], [5], [6], [5], [4], [5]]
-EndAllocation

Instance: [[1], [44], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 6, 6, 6]; Results for m' = 2,...,9. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6], Opt: [22, 15, 11, 9, 8, 7, 6, 5]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 6, 6, 6], [4, 4, 4, 4]]
[[6, 6, 6], [4, 4, 4, 4], [5, 5]]
[[4, 4, 4], [6, 6], [4, 5, 5], [6]]
[[6, 6], [6], [5], [4, 4, 4], [4, 5]]
[[4, 6], [4, 6], [4, 4], [6], [], [5, 5]]
[[4, 4], [4, 4], [6], [6], [6], [5], [5]]
[[4, 4], [6], [5], [5], [6], [], [6], [4, 4]]
[[5], [4], [5], [4], [6], [4], [4], [6], [6]]
-EndAllocation

Instance: [[1], [43], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,9. UB Alg: [29, 20, 14, 12, 10, 9, 8, 6], Opt: [22, 15, 11, 9, 8, 7, 6, 5]
Allocation for m' = 2,...,9:
-StartAllocation
[[6, 6, 6], [3, 3, 3, 5, 5, 6]]
[[6], [3, 3, 3, 5, 5], [6, 6, 6]]
[[6, 6], [3, 3, 3], [6, 6], [5, 5]]
[[], [6, 6], [6, 6], [5, 5], [3, 3, 3]]
[[6], [3, 3], [6], [6], [3, 6], [5, 5]]
[[5], [5], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [5], [5], [3], [6]]
[[6], [3, 3], [6], [6], [5], [6], [3], [5], []]
-EndAllocation

Instance: [[1], [42], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 6, 6]; Results for m' = 2,...,9. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6], Opt: [21, 14, 11, 9, 7, 6, 6, 5]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 5, 5, 6, 6], [4, 4, 4, 4]]
[[4, 6, 6], [4, 4, 4, 4], [5, 5]]
[[4, 4, 6], [4, 5, 5], [], [4, 4, 6]]
[[4, 4, 4], [5, 5], [4, 4], [], [6, 6]]
[[4, 4], [4, 4], [4, 5], [6], [6], [5]]
[[4, 4], [5], [5], [4], [4, 4], [6], [6]]
[[4, 4], [5], [6], [], [4], [5], [6], [4, 4]]
[[4], [6], [4], [4], [6], [4], [5], [4], [5]]
-EndAllocation

Instance: [[1], [41], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6, 6, 6, 6]; Results for m' = 2,...,9. UB Alg: [28, 18, 14, 12, 9, 8, 8, 6], Opt: [21, 14, 11, 9, 7, 6, 6, 5]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 5, 6], [6, 6, 6]]
[[4, 4, 4, 5], [6], [6, 6, 6]]
[[6, 6], [6, 6], [4, 4, 4], [5]]
[[6, 6], [5], [], [6, 6], [4, 4, 4]]
[[6], [4, 4], [6], [6], [6], [4, 5]]
[[4, 4], [6], [6], [6], [6], [5], [4]]
[[6], [6], [4], [6], [4, 4], [5], [], [6]]
[[6], [6], [4], [4], [4], [5], [], [6], [6]]
-EndAllocation

Instance: [[1], [50], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,10. UB Alg: [33, 22, 17, 13, 12, 10, 9, 8, 6], Opt: [25, 17, 13, 10, 9, 8, 7, 6, 5]
Allocation for m' = 2,...,10:
-StartAllocation
[[4, 5, 6, 6, 6, 6], [4, 4, 4, 5]]
[[4, 6, 6, 6], [4, 4], [4, 5, 5, 6]]
[[5, 6, 6], [], [5, 6, 6], [4, 4, 4, 4]]
[[6, 6], [], [6, 6], [4, 4, 5], [4, 4, 5]]
[[5, 5], [4], [6, 6], [], [4, 4, 4], [6, 6]]
[[4, 6], [5, 5], [4, 6], [], [6], [4, 4], [6]]
[[6], [4, 4], [6], [4, 5], [6], [4], [6], [5]]
[[6], [], [4, 4], [6], [4, 4], [5], [6], [6], [5]]
[[6], [6], [6], [4], [4], [5], [6], [4], [4], [5]]
-EndAllocation

Instance: [[1], [49], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 6, 6, 6]; Results for m' = 2,...,10. UB Alg: [33, 22, 17, 13, 12, 9, 9, 8, 6], Opt: [25, 17, 13, 10, 9, 7, 7, 6, 5]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 5, 6, 6, 6], [4, 4, 4, 4]]
[[4, 5, 5, 5], [4, 4, 4, 6], [6, 6]]
[[5, 5, 6], [4, 4, 4], [5], [4, 6, 6]]
[[6, 6], [5], [5, 5], [4, 6], [4, 4, 4]]
[[4, 5], [], [5, 5], [4, 4, 4], [6, 6], [6]]
[[4, 5], [5], [6], [4, 5], [6], [6], [4, 4]]
[[6], [], [6], [6], [4, 4], [5], [4, 5], [4, 5]]
[[6], [5], [5], [6], [4, 4], [6], [], [4, 4], [5]]
[[5], [6], [6], [5], [4], [6], [5], [4], [4], [4]]
-EndAllocation

Instance: [[1], [48], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,10. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,10:
-StartAllocation
[[6, 6, 6], [3, 3, 3, 3, 6, 6, 6]]
[[3, 3], [3, 6, 6, 6], [3, 6, 6, 6]]
[[6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [3, 3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6]]
[[6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], []]
-EndAllocation

Instance: [[1], [47], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 5, 6, 6]; Results for m' = 2,...,10. UB Alg: [32, 21, 16, 13, 10, 9, 8, 8, 6], Opt: [24, 16, 12, 10, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,10:
-StartAllocation
[[4, 5, 5, 5, 6, 6], [4, 4, 4, 4]]
[[4, 5, 6, 6], [5, 5], [4, 4, 4, 4]]
[[4, 6, 6], [5, 5, 5], [], [4, 4, 4, 4]]
[[4, 4, 5], [5, 5], [4, 4, 4], [6, 6], []]
[[4, 4], [4, 4], [4, 5], [5, 5], [6], [6]]
[[4, 4], [6], [5], [5], [4, 5], [4, 4], [6]]
[[4, 4], [5], [4], [5], [5], [4, 4], [6], [6]]
[[4, 4], [5], [6], [4, 4], [6], [], [5], [4], [5]]
[[5], [4], [6], [5], [4], [4], [6], [5], [4], [4]]
-EndAllocation

Instance: [[1], [46], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 6, 6]; Results for m' = 2,...,10. UB Alg: [30, 21, 16, 13, 10, 9, 8, 8, 6], Opt: [23, 16, 12, 10, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,10:
-StartAllocation
[[4, 4, 4, 6, 6, 6], [4, 4, 4, 4]]
[[6, 6, 6], [4, 4], [4, 4, 4, 4, 4]]
[[4, 4, 6], [], [4, 4, 4, 4], [4, 6, 6]]
[[4, 4, 4], [6], [4, 4, 4], [6, 6], [4]]
[[4, 4], [4, 4], [4, 4], [6], [4, 6], [6]]
[[4, 4], [6], [6], [4, 4], [4], [4, 4], [6]]
[[4, 4], [6], [4, 4], [], [4], [4, 4], [6], [6]]
[[6], [4, 4], [6], [4, 4], [6], [], [4, 4], [4], []]
[[4], [4], [6], [4], [6], [4], [4], [6], [4], [4]]
-EndAllocation

Instance: [[1], [55], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6]; Results for m' = 2,...,11. UB Alg: [37, 25, 18, 14, 13, 10, 9, 9, 8, 6], Opt: [28, 19, 14, 11, 10, 8, 7, 7, 6, 5]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 6, 6], [6, 6, 6]]
[[5, 6, 6, 6], [4, 4, 4, 4, 4], [6, 6]]
[[4, 4, 4, 4], [6, 6, 6], [5], [4, 6, 6]]
[[6, 6], [6, 6], [4], [4, 4, 5], [4, 4, 6]]
[[4, 4, 5], [6, 6], [6, 6], [6], [4, 4, 4], []]
[[4, 6], [6], [4, 6], [4, 5], [6], [4, 4], [6]]
[[6], [6], [4, 4], [6], [4, 4], [6], [6], [4, 5]]
[[6], [6], [6], [], [6], [4, 5], [6], [4, 4], [4, 4]]
[[4, 4], [6], [6], [4], [], [6], [4, 4], [6], [5], [6]]
[[4], [6], [4], [6], [5], [6], [4], [6], [6], [4], [4]]
-EndAllocation

Instance: [[1], [54], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,11. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 4, 4, 4, 4, 5, 5, 6], [6, 6, 6]]
[[5, 5, 6, 6], [4, 4, 4, 4, 4], [6, 6]]
[[4, 4, 4, 4], [6, 6], [5, 5], [4, 6, 6]]
[[6, 6], [6, 6], [4], [4, 5, 5], [4, 4, 4]]
[[4, 4], [6, 6], [5, 5], [6, 6], [4, 4, 4], []]
[[4, 6], [6], [4, 6], [4, 4], [5, 5], [4], [6]]
[[4, 5], [6], [4, 4], [6], [4], [6], [6], [4, 5]]
[[4], [6], [6], [5], [6], [5], [6], [4, 4], [4, 4]]
[[4, 4], [6], [], [4], [5], [6], [4, 4], [6], [5], [6]]
[[4], [5], [4], [6], [4], [6], [4], [6], [6], [4], [5]]
-EndAllocation

Instance: [[1], [53], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6]; Results for m' = 2,...,11. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8, 8, 6], Opt: [27, 18, 14, 11, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 5, 6], [6, 6, 6]]
[[5, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6]]
[[4, 4, 4, 4], [6, 6, 6], [5], [4, 4, 6]]
[[6, 6], [6, 6], [4], [4, 4, 5], [4, 4, 4]]
[[4, 4, 4], [6, 6], [5, 6], [6], [4, 4, 4], []]
[[4, 6], [], [4, 6], [4, 5], [4, 6], [4, 4], [6]]
[[6], [4, 4], [4, 4], [6], [4], [6], [6], [4, 5]]
[[4, 4], [6], [6], [5], [6], [6], [], [4, 4], [4, 4]]
[[4, 4], [6], [], [4, 4], [], [6], [4, 4], [6], [5], [6]]
[[4], [6], [4], [6], [5], [4], [4], [6], [6], [4], [4]]
-EndAllocation

Instance: [[1], [52], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6]; Results for m' = 2,...,11. UB Alg: [34, 24, 17, 14, 12, 10, 9, 8, 8, 6], Opt: [26, 18, 13, 11, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 5, 5], [6, 6, 6]]
[[4, 4, 4, 4, 4, 4], [6, 6, 6], [5, 5]]
[[4, 4, 6], [5, 5], [4, 4, 4, 4], [6, 6]]
[[6, 6], [4, 4, 4], [4, 4, 4], [6], [5, 5]]
[[4, 4, 4], [6, 6], [6], [], [5, 5], [4, 4, 4]]
[[4, 4], [5, 5], [4, 4], [4, 6], [6], [], [4, 6]]
[[6], [6], [4, 5], [4, 4], [6], [4, 5], [4, 4], []]
[[4, 4], [5], [5], [], [6], [6], [6], [4, 4], [4, 4]]
[[4, 4], [5], [], [6], [4, 4], [5], [6], [6], [], [4, 4]]
[[4], [6], [5], [4], [6], [4], [4], [4], [4], [5], [6]]
-EndAllocation

Instance: [[1], [51], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 6, 6, 6, 6, 6]; Results for m' = 2,...,11. UB Alg: [34, 22, 17, 14, 12, 10, 9, 8, 8, 6], Opt: [26, 17, 13, 11, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 4, 4, 4, 5, 6, 6], [6, 6, 6]]
[[4, 5, 6, 6], [4, 4, 4], [6, 6, 6]]
[[4, 4, 4, 4], [6, 6], [5, 6], [6, 6]]
[[6, 6], [6, 6], [], [4, 4, 5], [4, 4, 6]]
[[4, 6], [6, 6], [5], [6, 6], [4, 4, 4], []]
[[4, 6], [6], [4, 6], [4, 5], [6], [4], [6]]
[[6], [6], [4, 4], [6], [4], [6], [6], [4, 5]]
[[6], [6], [6], [5], [6], [6], [], [4, 4], [4, 4]]
[[4, 4], [6], [], [4, 4], [], [6], [6], [6], [5], [6]]
[[4], [6], [4], [6], [5], [6], [4], [6], [6], [4], []]
-EndAllocation

Instance: [[1], [60], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,12. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 3, 3, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3]]
[[6], [6], [], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [59], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,12. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 6, 6, 6], [5, 5, 5, 6]]
[[4, 4, 4, 4, 4, 5], [5, 5], [6, 6, 6, 6]]
[[4, 5, 5, 5], [6, 6, 6], [6], [4, 4, 4, 4]]
[[5, 5, 5], [4, 6, 6], [4, 4, 4, 4], [6, 6], []]
[[6, 6], [6, 6], [4, 4, 4], [5], [4, 4], [5, 5]]
[[6, 6], [4, 4, 4], [4, 4], [5, 5], [6, 6], [5], []]
[[4, 6], [6], [5], [5, 5], [4], [4, 4], [6], [4, 6]]
[[4, 5], [4, 4], [5], [6], [6], [6], [4, 4], [6], [5]]
[[6], [5], [6], [6], [5], [4], [5], [4, 4], [6], [4, 4]]
[[6], [], [6], [5], [4, 4], [5], [6], [4], [5], [6], [4, 4]]
[[6], [6], [5], [4], [5], [4], [6], [6], [4], [4], [5], [4]]
-EndAllocation

Instance: [[1], [58], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,12. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9, 8, 8, 6], Opt: [29, 20, 15, 12, 10, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 6, 6]]
[[5], [6, 6, 6], [3, 3, 3, 3, 5], [6, 6, 6]]
[[6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [5, 5]]
[[6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [3, 5]]
[[6], [6], [5], [6], [6], [6], [6], [3, 3], [5], [3, 3]]
[[6], [6], [], [6], [3, 3], [3, 3], [6], [6], [5], [6], [5]]
[[5], [6], [6], [], [], [3, 3], [3, 3], [5], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [57], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6]; Results for m' = 2,...,12. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9, 8, 8, 6], Opt: [29, 19, 15, 12, 10, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4, 4], [4, 5], [6, 6, 6, 6]]
[[4, 4, 5, 6], [6, 6, 6], [], [4, 4, 4, 4, 4]]
[[4, 5, 6], [4, 4, 6], [4, 4, 4, 4], [6, 6], []]
[[4, 4, 4], [6, 6], [4, 4, 4], [5], [4], [6, 6]]
[[4, 6], [4, 4, 4], [4, 4, 4], [5], [6], [6, 6], []]
[[4, 6], [6], [], [4, 5], [4, 4], [4, 4], [6], [4, 6]]
[[4, 5], [4, 4], [], [6], [4, 4], [6], [4, 4], [6], [6]]
[[4, 4], [6], [6], [6], [5], [4], [], [4, 4], [6], [4, 4]]
[[6], [], [6], [4, 4], [4, 4], [4, 4], [6], [], [5], [6], [4]]
[[6], [4], [6], [4], [6], [4], [6], [4], [4], [4], [5], [4]]
-EndAllocation

Instance: [[1], [56], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,12. UB Alg: [37, 25, 18, 16, 13, 10, 9, 9, 8, 8, 6], Opt: [28, 19, 14, 12, 10, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 5], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3], [5, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 6]]
[[], [5, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 5]]
[[5], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [5]]
[[6], [5], [6], [6], [6], [6], [6], [3], [3, 3], [3, 3]]
[[5], [6], [6], [3], [6], [3, 3], [6], [], [6], [3, 3], [6]]
[[6], [5], [6], [], [6], [3, 3], [], [3, 3], [6], [3], [6], [6]]
-EndAllocation

Instance: [[1], [65], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,13. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9, 8, 8, 6], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 5]]
[[4, 5, 5, 5, 5, 5], [4, 4, 4, 6, 6], [6, 6]]
[[4, 4, 5, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4]]
[[5, 6, 6], [], [5, 6, 6], [4, 4, 4, 4], [5, 5, 5]]
[[4, 5, 5], [6, 6], [6, 6], [5, 5], [5], [4, 4, 4]]
[[5, 5], [6, 6], [6, 6], [4], [5], [5, 5], [4, 4, 4]]
[[4, 5], [], [6, 6], [6, 6], [4, 4, 4], [5, 5], [5, 5], []]
[[4, 5], [4, 6], [], [4, 6], [4, 6], [5, 5], [], [5, 5], [6]]
[[6], [4, 5], [6], [], [6], [4, 5], [4, 5], [4, 5], [5], [6]]
[[4, 4], [6], [5], [4, 4], [5], [5], [6], [5], [5], [6], [6]]
[[5], [6], [5], [6], [4, 4], [5], [5], [5], [4, 4], [6], [6], []]
[[4], [5], [5], [4], [6], [5], [6], [5], [6], [4], [5], [6], [4]]
-EndAllocation

Instance: [[1], [64], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,13. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9, 8, 8, 6], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7, 6, 6, 5]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6]]
[[6], [3, 6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5]]
[[6], [3, 6, 6], [6, 6], [5, 6, 6], [3, 3, 3, 5]]
[[6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5], [6], [3, 3, 3, 3]]
[[6], [3, 6], [6], [3, 6], [6], [3, 6], [5, 5], [3, 6]]
[[6], [5, 5], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6]]
[[5], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [5]]
[[6], [6], [3, 3], [6], [6], [5], [6], [6], [3, 3], [6], [5]]
[[6], [6], [3, 3], [], [6], [6], [6], [5], [6], [6], [5], [3, 3]]
[[], [6], [5], [6], [6], [6], [5], [6], [3, 3], [6], [], [6], [3, 3]]
-EndAllocation

Instance: [[1], [63], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,13. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6], Opt: [32, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,13:
-StartAllocation
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[3, 3, 3], [3, 6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6]]
[[3], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6]]
[[6], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3], [6], [6], [3, 3], [6], [], [6]]
[[6], [6], [6], [6], [3], [6], [], [6], [3, 3], [6], [6], [3, 3], []]
-EndAllocation

Instance: [[1], [62], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,13. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 6, 6, 6, 6], [4, 4, 4, 5, 5]]
[[5, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6]]
[[4, 4, 6, 6], [5], [4, 4, 4, 4, 4], [5, 6, 6]]
[[4, 4, 4, 4], [5, 5], [6, 6], [6, 6], [4, 4, 4]]
[[4, 4, 6], [6, 6], [4, 4, 6], [5, 5], [], [4, 4, 4]]
[[4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [], [6, 6], [4]]
[[4, 6], [], [5, 5], [4, 4], [4, 6], [4, 4], [4, 6], [6]]
[[6], [4, 5], [6], [4, 4], [6], [4, 4], [4, 4], [5], [6]]
[[4, 5], [6], [6], [4, 4], [4, 5], [6], [6], [4, 4], [], [4]]
[[4, 4], [6], [4], [6], [], [4, 4], [5], [6], [4, 4], [5], [6]]
[[4, 4], [4], [6], [5], [5], [6], [6], [], [], [6], [4, 4], [4, 4]]
[[5], [6], [4], [4], [6], [6], [4], [6], [5], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [61], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6]; Results for m' = 2,...,13. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8, 8, 6], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 6, 6, 6, 6], [4, 4, 4, 4, 5]]
[[4, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6]]
[[6, 6, 6], [4, 4, 4], [4, 4, 4, 4, 4], [5, 6]]
[[4, 4, 4, 4], [5], [6, 6], [6, 6], [4, 4, 4, 4]]
[[6, 6], [6, 6], [4, 4], [5], [4, 4, 4], [4, 4, 4]]
[[4, 4, 4], [5], [6, 6], [4, 4, 4], [], [6, 6], [4, 4]]
[[4, 6], [], [4, 5], [4, 4], [4, 6], [4, 4], [4, 6], [6]]
[[6], [4], [4, 4], [4, 4], [6], [4, 4], [4, 5], [6], [6]]
[[4, 4], [6], [6], [4, 4], [4, 5], [6], [6], [4, 4], [], [4]]
[[4, 4], [6], [4, 4], [6], [], [4, 4], [], [6], [4, 4], [5], [6]]
[[4, 4], [4, 4], [6], [5], [], [6], [6], [], [], [6], [4, 4], [4, 4]]
[[6], [6], [4], [4], [6], [6], [4], [4], [5], [4], [4], [4], [4]]
-EndAllocation

Instance: [[1], [70], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,14. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 5, 5, 6], [4, 4], [6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [5, 5, 6, 6], [4, 4, 4, 4, 4, 4], []]
[[4, 4, 5, 5], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], []]
[[4, 6, 6], [4, 4, 4, 4], [6, 6], [5, 5], [6, 6], [4]]
[[5, 5], [6, 6], [6, 6], [4, 4, 4], [], [4, 4, 4], [6, 6]]
[[4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [5, 5], []]
[[4, 6], [6], [4, 6], [4, 4], [6], [4, 4], [5, 5], [6], [6]]
[[6], [4, 4], [6], [6], [4, 4], [4, 5], [6], [4, 5], [6], [6]]
[[6], [6], [6], [4, 5], [6], [], [6], [4, 4], [4, 5], [4, 4], [6]]
[[4, 4], [6], [6], [6], [6], [6], [5], [4, 4], [6], [5], [], [4, 4]]
[[6], [6], [5], [], [4, 4], [5], [4, 4], [6], [6], [], [6], [6], [4, 4]]
[[4], [6], [4], [4], [5], [6], [4], [6], [5], [6], [4], [6], [6], [4]]
-EndAllocation

Instance: [[1], [69], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6]; Results for m' = 2,...,14. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 5, 5, 5], [4, 4, 4], [6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [5, 5, 5, 6], [4, 4, 4, 4, 4, 4], []]
[[4, 4, 4, 6], [4, 4, 4, 6], [5, 5, 5], [6, 6, 6], []]
[[4, 4, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], []]
[[5, 5], [6, 6], [4, 6], [4, 4], [5], [4, 4, 4], [6, 6]]
[[5, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [], [5, 5], []]
[[4, 6], [6], [4, 4], [4, 4], [6], [4, 5], [5, 5], [6], [6]]
[[4, 4], [4, 5], [6], [6], [4], [6], [6], [4, 5], [6], [4, 5]]
[[6], [6], [6], [4, 4], [6], [], [6], [4], [4, 5], [4, 5], [4, 5]]
[[5], [6], [6], [6], [6], [6], [5], [4, 4], [4, 4], [5], [], [4, 4]]
[[6], [5], [5], [], [4, 4], [5], [4, 4], [6], [6], [], [6], [6], [4, 4]]
[[5], [6], [4], [4], [5], [6], [4], [6], [5], [6], [4], [6], [4], [4]]
-EndAllocation

Instance: [[1], [68], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,14. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,14:
-StartAllocation
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 5, 6], [6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 5], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 5]]
[[6], [5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 5]]
[[6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 5], [6], [3, 6]]
[[6], [6], [5], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [5], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [5], [3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [], [5], [6], [6], [3, 3], [3], [3, 3], [6]]
[[6], [6], [], [6], [5], [6], [3], [6], [3, 3], [6], [6], [3, 3], [], [6]]
-EndAllocation

Instance: [[1], [67], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,14. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,14:
-StartAllocation
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6]]
[[6], [3, 6, 6, 6], [3, 3, 3, 3, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [3, 3, 5, 5]]
[[], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6], [3, 5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [5, 6], [3, 5]]
[[6], [6], [6], [6], [3, 6], [3, 3, 3], [5, 5], [6], [3, 6]]
[[5], [3, 6], [5], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [5], [5], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [5], [3], [6], [6], [3, 3], [5], [6], [6], [6]]
[[6], [6], [6], [6], [5], [], [5], [6], [6], [3, 3], [3], [3, 3], [6]]
[[6], [6], [], [6], [5], [6], [3], [6], [3, 3], [5], [6], [3, 3], [], [6]]
-EndAllocation

Instance: [[1], [66], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,14. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9, 8, 8, 8, 6], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,14:
-StartAllocation
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6], [3, 3, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [6, 6], [3, 3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6]]
[[6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6]]
[[6], [], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6]]
[[6], [6], [], [6], [3, 3], [6], [], [6], [3, 3], [6], [6], [3, 3], [], [6]]
-EndAllocation

Instance: [[1], [75], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,15. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 5, 6, 6], [2, 2, 4, 4, 6, 6, 6, 6, 6, 6]]
[[6, 6], [2, 2, 4, 4, 5, 5, 5, 6], [6, 6, 6, 6, 6]]
[[6, 6], [2, 2, 6, 6, 6], [5, 5, 5, 6], [4, 4, 6, 6]]
[[6], [2, 2, 6, 6], [4, 6, 6], [4, 5, 5, 5], [6, 6, 6]]
[[], [2, 2, 6, 6], [5, 6, 6], [4, 6, 6], [4, 6, 6], [5, 5]]
[[], [6, 6], [2, 2, 4, 6], [6, 6], [4, 5, 5], [5, 6], [6, 6]]
[[], [5, 6], [6, 6], [6], [6, 6], [2, 2, 4, 4], [5, 5], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [4, 4], [6, 6], [2, 2, 5], [5, 5]]
[[6], [6], [4, 6], [6], [2, 2, 6], [4, 6], [6], [5, 5], [6], [5]]
[[6], [6], [4, 5], [2, 2, 5], [6], [6], [6], [6], [6], [4, 5], [6]]
[[6], [4, 5], [6], [6], [6], [6], [2, 2, 4], [6], [5], [6], [5], [6]]
[[6], [6], [6], [6], [6], [4, 4], [2, 2], [6], [5], [6], [6], [5], [5]]
[[5], [6], [6], [6], [2, 2], [5], [4], [4], [6], [6], [6], [6], [6], [5]]
[[4], [6], [6], [6], [6], [2, 2], [6], [5], [], [5], [5], [6], [6], [6], [4]]
-EndAllocation

Instance: [[1], [74], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,15. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 5, 6, 6], [3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [5, 6, 6], [3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[6], [3, 3, 3, 3], [6, 6], [3, 6], [5, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [5, 6], [3, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 6], [6], [5, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [5]]
[[6], [6], [6], [5], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3], [5], [6]]
[[6], [6], [6], [6], [6], [3], [6], [6], [5], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [], [5]]
[[], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [5], [6], [3], [6], [6]]
-EndAllocation

Instance: [[1], [73], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,15. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8, 8, 6], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 5, 5, 6], [3, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [5, 6, 6], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[6], [3, 3, 3, 3], [6, 6], [3, 6], [5, 5], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [5, 5], [3, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 6], [6], [5, 5]]
[[6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [5, 5]]
[[6], [6], [6], [5], [3, 3, 3], [5], [6], [3, 6], [3, 6], [6], [6]]
[[6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3], [5], [6]]
[[6], [6], [6], [6], [6], [3], [6], [6], [5], [3, 3], [3, 3], [6], [5]]
[[6], [6], [6], [3], [6], [5], [3, 3], [6], [3, 3], [6], [6], [6], [], [5]]
[[], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [5], [5], [6], [3], [6], [6]]
-EndAllocation

Instance: [[1], [72], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,15. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3]]
[[6], [6], [6], [3, 3], [6], [], [3, 3], [6], [3, 3], [6], [], [6], [6], [6]]
[[6], [], [6], [6], [6], [3, 3], [3, 3], [6], [], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [71], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,15. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8, 8, 8, 6], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 3, 6, 6], [3, 5, 5, 5, 5, 6, 6, 6, 6]]
[[6, 6], [5, 5, 5, 5, 6, 6], [3, 3, 3, 3, 3, 6, 6]]
[[6, 6], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 5], [5, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [3, 5, 5]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [5], [3, 5]]
[[6], [6], [5, 5], [3, 3, 3], [6], [5, 5], [3, 6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [5, 5], [3, 3], [6], [6], [6], [5, 5], [6]]
[[6], [3, 6], [6], [5], [5], [6], [3, 5], [6], [6], [3, 3, 3], [5]]
[[6], [6], [5], [6], [6], [5], [5], [3, 3], [3, 3], [3, 5], [6], [6]]
[[5], [6], [6], [3, 3], [6], [5], [6], [6], [3, 5], [5], [6], [], [3, 3]]
[[6], [5], [6], [3, 3], [5], [], [3, 5], [5], [3, 3], [6], [], [6], [6], [6]]
[[5], [6], [5], [6], [6], [3, 3], [3], [6], [], [3, 3], [], [5], [5], [6], [6]]
-EndAllocation

Instance: [[1], [80], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]; Results for m' = 2,...,16. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5], [4, 5], [4, 4, 4, 6, 6, 6, 6]]
[[5, 5, 5], [4, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4, 6, 6]]
[[5, 5, 5, 5], [6], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5, 5]]
[[5, 5, 5], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [5, 5, 6], []]
[[5, 5, 5], [5, 5, 5], [6, 6], [5, 5], [4, 4, 4, 4], [], [6, 6]]
[[4, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [5], [6, 6]]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [6, 6], [6, 6], [4]]
[[5, 5], [5, 5], [6], [5, 5], [6], [4, 4], [4, 4], [6], [6], [5, 5]]
[[4, 4], [5, 5], [6], [], [4, 6], [4, 6], [], [5, 5], [5, 5], [5, 5], [6]]
[[4, 5], [6], [6], [5], [5], [6], [5], [6], [4, 5], [4, 5], [4, 5], [5]]
[[4, 4], [5], [4, 5], [5], [6], [5], [6], [6], [6], [5], [5], [4, 5], [5]]
[[4, 4], [6], [6], [5], [5], [6], [4, 4], [5], [5], [6], [5], [5], [5], [5]]
[[5], [4, 4], [], [5], [6], [6], [5], [6], [4, 4], [5], [6], [5], [5], [5], [5]]
[[5], [6], [6], [5], [6], [5], [4], [4], [4], [5], [5], [5], [4], [5], [5], [6]]
-EndAllocation

Instance: [[1], [79], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,16. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8, 8, 6], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,16:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3], [6, 6, 6, 6, 6, 6], [3, 3, 5, 5, 6, 6, 6]]
[[3, 3], [3, 3, 3, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [5, 5, 6]]
[[], [5, 5, 6], [6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6], [6, 6]]
[[], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [5, 5]]
[[6], [6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [5, 5], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [5], [3, 6], [6], [6], [3, 5], [3, 3, 3], [6], [6]]
[[6], [6], [6], [5], [5], [6], [3, 3], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [5], [6], [6], [6], [3], [6], [3, 3], [3, 3], [6], [6], [6], [5], [6]]
[[6], [3, 3], [6], [5], [3], [6], [], [6], [6], [3, 3], [6], [6], [5], [6], [6]]
[[6], [6], [], [5], [], [3, 3], [6], [6], [3], [6], [6], [6], [6], [3, 3], [5], [6]]
-EndAllocation

Instance: [[1], [78], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,16. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9, 8, 8, 8, 6], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,16:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3], [3, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6]]
[[3, 3], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6]]
-EndAllocation

Instance: [[1], [77], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,16. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,16:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 5, 5]]
[[6], [5, 5, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6]]
[[], [3, 3, 3, 3, 3, 5], [4, 5, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6]]
[[6], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 5, 5]]
[[], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [3, 4], [6, 6]]
[[], [5, 6], [], [3, 3, 3, 3], [4, 6], [3, 6], [6, 6], [6, 6], [5, 6]]
[[6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [5, 5], [6], [6], [4, 6]]
[[6], [6], [6], [3, 6], [6], [6], [4, 5], [3, 3, 3], [3, 6], [6], [5]]
[[6], [6], [6], [6], [3, 3, 3], [6], [4, 5], [6], [3, 3], [6], [5], [6]]
[[6], [6], [3, 5], [6], [6], [3, 3], [5], [6], [6], [6], [6], [3, 3], [4]]
[[6], [6], [4], [6], [6], [3, 3], [5], [3, 3], [6], [6], [6], [6], [3, 5], []]
[[6], [6], [], [3, 5], [], [3, 3], [6], [6], [6], [5], [4], [6], [3, 3], [6], [6]]
[[6], [6], [], [6], [], [3], [6], [5], [6], [6], [5], [6], [6], [4], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [76], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,16. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,16:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 5, 6]]
[[6], [5, 5, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6]]
[[5], [3, 3, 3, 3, 3, 3], [5, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6]]
[[3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 5, 5]]
[[], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [3, 3], [6, 6]]
[[], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3], [6, 6], [6, 6], [5, 5]]
[[6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [5, 5]]
[[6], [6], [6], [3, 6], [6], [6], [5], [3, 3, 3], [3, 6], [6], [3, 5]]
[[6], [6], [6], [6], [3, 3, 3], [6], [5], [6], [3, 3, 3], [6], [5], [6]]
[[6], [6], [3, 5], [6], [6], [3, 3], [], [3, 5], [6], [6], [6], [3, 3], [6]]
[[6], [6], [6], [6], [6], [3, 3], [3, 5], [3, 3], [6], [], [6], [6], [3, 5], []]
[[6], [3], [6], [3, 5], [], [3, 3], [6], [6], [6], [5], [], [6], [3, 3], [6], [6]]
[[6], [6], [], [6], [], [3, 3], [], [5], [6], [6], [5], [6], [6], [6], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [85], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,17. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 6], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [5, 5, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[6], [5, 5], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[], [6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [6]]
[[6], [6], [6], [6], [5, 5], [6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3]]
[[6], [3, 3, 3], [3, 6], [6], [5], [5], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6]]
[[6], [3], [6], [6], [6], [5], [3, 3], [6], [6], [6], [3, 3], [6], [5], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [], [6], [5], [6], [6], [3, 3], [6], [3, 5], [], [6]]
[[6], [6], [6], [6], [3, 3], [], [6], [6], [5], [6], [6], [], [3, 3], [6], [3], [6], [5]]
-EndAllocation

Instance: [[1], [84], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,17. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6]]
[[], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 6], [], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], []]
-EndAllocation

Instance: [[1], [83], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,17. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6]]
[[4, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [4, 6, 6, 6, 6]]
[[6], [6, 6, 6], [4, 5, 5, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6]]
[[], [5, 5, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3], [4, 6, 6]]
[[6], [4, 6], [6, 6], [3, 5, 5], [6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [5, 5], [4], [6, 6], [6, 6], [3, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6], [6, 6], [4, 6], [3, 6], [], [5, 5], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [3, 3, 3], [6], [6], [5, 5]]
[[6], [3, 6], [6], [3, 6], [4], [3, 6], [6], [6], [3, 6], [5], [6], [3, 5]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3], [4, 5], [6], [6], [6], [3, 3, 3]]
[[6], [5], [6], [3, 3], [6], [6], [6], [4], [3, 3], [6], [6], [3, 5], [6], [6]]
[[6], [6], [5], [6], [4], [6], [6], [6], [6], [3], [6], [3, 3], [5], [6], [3, 3]]
[[6], [6], [3, 3], [4], [6], [], [6], [6], [6], [6], [], [3, 5], [6], [6], [5], [3, 3]]
[[5], [6], [3], [], [6], [3, 3], [6], [6], [3, 3], [6], [5], [4], [6], [6], [6], [6], []]
-EndAllocation

Instance: [[1], [82], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,17. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 5, 5, 6], [6, 6, 6, 6, 6, 6]]
[[6], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6]]
[[], [5, 5, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [5, 5], [], [6, 6], [6, 6], [3, 3, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 6], [], [5, 5], [6, 6]]
[[6], [6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 3, 3], [6], [6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [3, 5]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [5], [6], [3, 3, 3]]
[[6], [5], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [5], [6]]
[[6], [6], [5], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [5], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [3], [3, 5], [6], [], [5], [3, 3]]
[[6], [6], [3, 3], [], [6], [3, 3], [6], [6], [3, 3], [6], [5], [5], [6], [6], [6], [], []]
-EndAllocation

Instance: [[1], [81], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,17. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6]]
[[], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3], [], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [], [6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3], [6]]
[[6], [6], [6], [6], [3], [], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [3], [3, 3], [6], [], [6], [3, 3]]
[[6], [6], [3, 3], [], [6], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [3], []]
-EndAllocation

Instance: [[1], [90], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,18. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3]]
[[], [6], [3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], []]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3]]
[[], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [], [6], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [], [6]]
-EndAllocation

Instance: [[1], [89], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,18. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8, 8, 8, 6], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6]]
[[6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 5, 5], [4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 5, 5], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [4, 6], [6]]
[[], [6, 6], [6, 6], [6, 6], [4, 5], [3, 6], [6], [6, 6], [5], [3, 3, 3, 3]]
[[], [], [3, 3, 5], [6, 6], [3, 3, 3], [6, 6], [4], [6, 6], [6, 6], [6, 6], [5]]
[[6], [4, 6], [6], [6], [6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [3, 6], [6], [6], [6], [6], [5], [6], [6], [4, 5], [3, 6], [3, 3, 3]]
[[5], [6], [6], [4, 5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [4], [6], [6], [6], [6], [6], [3, 5], [6], [6], [5], [3, 3]]
[[6], [6], [6], [3, 3], [5], [3, 3], [6], [5], [6], [3], [6], [6], [6], [6], [4], [6]]
[[6], [5], [6], [5], [3, 3], [6], [3], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [4]]
[[6], [6], [5], [6], [6], [6], [6], [], [6], [3, 3], [5], [4], [6], [3], [3, 3], [6], [], [6]]
-EndAllocation

Instance: [[1], [88], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,18. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6]]
[[], [3, 3, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 5, 5], [6, 6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[6], [3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3], [6, 6], [3, 5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [], [6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6]]
[[6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [6]]
[[6], [5, 5], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [3, 6], [3, 6], [3, 3, 3], [5], [6], [5], [6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [5], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [3, 3], [6], [6], [6], [5]]
[[6], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [5], [6], [6], [3, 3], [5], [6]]
[[5], [], [6], [6], [6], [6], [6], [6], [], [6], [3], [3, 5], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [], [], [], [6], [6], [3, 3], [5], [3, 3], [5], [6], [6], [6]]
-EndAllocation

Instance: [[1], [87], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,18. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3]]
[[6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [6], [], [6], [6], [6], [6], [6]]
[[6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3], [6]]
[[], [6], [6], [6], [6], [6], [6], [6], [], [6], [3], [3, 3], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [], [], [], [6], [6], [3, 3], [3, 3], [3], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [86], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,18. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6]]
[[], [3, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6]]
[[], [6, 6], [3, 5, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6], [3, 3, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [5, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3], [6, 6], [3, 3, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [5], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3]]
[[6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 5], [6], [6]]
[[6], [3, 5], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[], [6], [3, 6], [3, 6], [3, 3, 3], [5], [6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [5], [3, 6], [6], [6], [6], [], [6], [6], [6], [6], [6]]
[[6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [5]]
[[6], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [5], [6], [6], [3, 3], [3], [6]]
[[5], [], [6], [6], [6], [6], [6], [6], [], [6], [3], [3, 3], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [], [], [], [6], [6], [3, 3], [3, 3], [3], [5], [6], [6], [6]]
-EndAllocation

Instance: [[1], [95], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,19. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 4, 5, 5, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6, 6], [5, 5, 6]]
[[6], [5, 5, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6, 6], [4, 5, 5, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [6], [6, 6, 6]]
[[6], [4, 5, 5], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3], [6, 6, 6]]
[[6], [6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [5, 5, 6], [6, 6], [3, 6, 6]]
[[6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [4, 6], [6, 6], [3, 6], [6, 6]]
[[], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6], [6, 6], [4, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [], [6, 6], [4], [6, 6], [5, 5]]
[[6], [6], [3, 6], [5, 5], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [4, 6], [3, 6], [3, 6], [5, 5], [6]]
[[6], [3, 6], [3, 6], [6], [6], [4, 5], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [4, 5], [6], [6], [3, 3, 3], [6], [6], [3, 3], [6]]
[[6], [3, 5], [6], [5], [6], [6], [3, 3], [6], [6], [6], [4], [6], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [5], [3, 3], [6], [5], [6], [6], [3], [3, 3], [6], [6], [6], [4]]
[[6], [6], [5], [3, 3], [6], [6], [6], [6], [], [3], [6], [4], [6], [6], [6], [3, 3], [6], [5]]
[[6], [6], [5], [3], [], [3, 3], [], [5], [4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [94], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,19. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6]]
[[3, 3, 4], [3, 4, 5, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 6], [5, 6, 6, 6]]
[[], [5, 6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6]]
[[], [4, 5, 6, 6], [3, 3, 3, 3, 3, 6], [4, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [4, 4, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6]]
[[], [3, 6, 6], [3, 6, 6], [3, 3, 4, 4], [6, 6], [5, 6], [6, 6], [3, 6, 6]]
[[], [5, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4, 6], [6, 6], [3, 6], [6, 6]]
[[], [6, 6], [3, 6], [4, 6], [3, 3, 3, 3], [6, 6], [5, 6], [6, 6], [6], [4, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [], [6, 6], [4, 4], [6, 6], [5]]
[[6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [4, 6], [3, 6], [5], [6]]
[[6], [6], [6], [6], [4, 6], [3, 3, 3], [6], [6], [4, 6], [3, 6], [3, 6], [5], [6]]
[[6], [3, 6], [6], [4, 5], [6], [4], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [5], [3, 6], [4], [4], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6]]
[[6], [3, 5], [6], [6], [6], [6], [3, 4], [6], [6], [6], [4], [6], [3, 3], [6], [6], [3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [], [5], [6], [6], [3], [3, 3], [6], [6], [6], [4, 4]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [], [3], [6], [4, 4], [6], [6], [6], [3, 3], [], [5]]
[[6], [6], [5], [3], [], [3, 3], [], [4], [4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [93], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,19. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6]]
[[], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [], [6, 6], [], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [], [3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3], []]
[[6], [6], [6], [3, 3], [], [3, 3], [], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [92], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,19. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3], [5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [5, 6, 6, 6, 6]]
[[], [5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6]]
[[], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 6], [6, 6], [3, 6, 6]]
[[], [5, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [], [6, 6], [], [6, 6], [5, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [5], [6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [5], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [5], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [], [6], [6], [5], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6]]
[[6], [3, 5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [], [3, 5], [6], [6], [3, 3], [3, 3], [6], [], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [], [6], [6], [6], [3, 3], [3], [5]]
[[6], [6], [5], [3, 3], [], [3, 3], [], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [91], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,19. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,19:
-StartAllocation
[[2, 2, 4, 4, 6, 6, 6], [2, 2, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [4, 6, 6, 6, 6, 6, 6], [2, 2, 2, 2, 4, 5, 5, 5, 6, 6]]
[[6], [4, 4, 6, 6, 6], [2, 2, 2, 2, 5, 5, 5, 6], [6, 6, 6, 6, 6]]
[[], [2, 2, 2, 2, 5, 6, 6], [4, 4, 5, 6, 6], [6, 6, 6, 6], [5, 6, 6]]
[[], [2, 2, 2, 2, 5, 6], [6, 6, 6], [6, 6, 6], [4, 4, 5, 5], [6, 6, 6]]
[[6], [6, 6], [6, 6], [2, 2, 2, 2, 6], [4, 6, 6], [4, 6, 6], [5, 5, 5]]
[[], [4, 6, 6], [5, 5, 5], [2, 2, 2, 2], [6, 6], [6, 6], [4, 6, 6], [6, 6]]
[[], [5, 6], [4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [2, 2, 2, 2, 6], [6, 6]]
[[], [6, 6], [2, 2, 2, 2], [6, 6], [], [6, 6], [6, 6], [5, 5], [4, 4, 5], [6, 6]]
[[], [2, 2], [6, 6], [5, 5], [6, 6], [], [6, 6], [6, 6], [2, 2, 4, 4], [6, 6], [5]]
[[6], [2, 2, 5], [6], [6], [6], [4, 6], [4, 6], [6], [2, 2, 6], [6], [5, 5], [6]]
[[6], [6], [2, 6], [4, 5], [4, 5], [2, 6], [6], [6], [5], [6], [2, 6], [2, 6], [6]]
[[5], [6], [2, 2, 2, 2], [4, 5], [6], [6], [6], [4, 5], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [5], [4, 4], [6], [6], [5], [6], [2, 2, 2, 2], [6], [6], [5], [6]]
[[5], [6], [6], [6], [6], [6], [4, 4], [6], [2, 2, 2, 2], [], [5], [5], [6], [6], [6], [6]]
[[6], [6], [6], [6], [4, 4], [5], [2, 2, 2, 2], [6], [6], [], [6], [5], [6], [6], [6], [], [5]]
[[6], [6], [6], [4, 4], [], [6], [6], [5], [5], [], [6], [6], [6], [], [5], [2, 2, 2, 2], [6], [6]]
[[5], [6], [4], [6], [], [6], [6], [6], [6], [5], [6], [], [6], [5], [2, 2, 2], [2], [4], [6], [6]]
-EndAllocation

Instance: [[1], [100], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,20. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[6], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [4, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 4, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 4], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 6], [6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 6], [6, 6], [6], [4, 6], [6, 6], [], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6]]
[[6], [6], [6], [3, 6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [3, 6], [6], [4, 6], [3, 6], [6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [4], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [4], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [4], [3, 3], [6], [6], [], [6], [6], [6]]
[[6], [3, 3], [3, 4], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3], [], [6], [6]]
[[6], [], [6], [6], [], [6], [6], [6], [4], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [99], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,20. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 6], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [3, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6]]
[[6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3], [3, 3], [6], [6], [], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3], [], [6], [6]]
[[6], [], [6], [3], [], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [98], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,20. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 6, 6], [3, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [5, 6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6]]
[[], [6, 6], [5, 6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6]]
[[6], [5, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [5, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [5], [6, 6]]
[[], [5, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [], [6], [6, 6], [6, 6], [], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [5], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [5], [6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 6], [5], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 3, 3], [6], [6], [6], [3, 3, 3], [5], [6], [6], [3, 6], [6], [6]]
[[5], [6], [3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [5], [6], [3], [6], [], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [], [3], [6], [6], [6], [6], [3, 3], [6], [5]]
[[6], [6], [3, 3], [3, 3], [6], [3, 3], [3], [], [6], [6], [6], [6], [6], [6], [], [6], [6], [5], [6], []]
-EndAllocation

Instance: [[1], [97], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,20. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6, 6], [3, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 4, 6], [6, 6, 6], [6, 6, 6], [6, 6]]
[[], [6, 6], [4, 6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6]]
[[6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [4], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6], [4, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [], [4], [6, 6], [6, 6], [], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [4], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [4], [6], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 4], [6], [6]]
[[6], [6], [3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [4], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [4], [3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 4], [], [3, 3], [], [6], [6], [], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [3, 3], [3], [], [6], [6], [], [6], [6], [6], [4], [6], [6], [6], [6], []]
-EndAllocation

Instance: [[1], [96], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,20. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,20:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], []]
[[6], [6], [3, 3], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
[[6], [3, 3], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [], [3, 3]]
[[6], [6], [6], [3, 3], [], [], [6], [6], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3]]
-EndAllocation

Instance: [[1], [105], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,21. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [3, 6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3]]
[[6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [], [6], [3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [3], [], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [3, 3], [6], [6], [], [6], [], [3], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [104], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,21. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[4], [4, 4, 4, 4, 6, 6, 6], [4, 4, 4, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6]]
[[], [4, 4, 5, 5, 5, 5], [4, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[], [4, 4, 4, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6]]
[[6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 4, 4], [4, 5, 6], [5, 5, 5], [6, 6]]
[[], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5, 5], [5], [4, 4, 4, 4], [4, 6, 6]]
[[], [6, 6], [4, 5, 5], [4], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5], [4, 4, 4], [6, 6]]
[[], [4, 4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [], [4, 4, 4], [6, 6], [4, 4, 4]]
[[], [], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6]]
[[6], [6], [4, 4], [4, 4], [6], [4, 4], [5, 5], [6], [5, 5], [4, 6], [4, 6], [6], [4, 6]]
[[6], [5, 5], [5, 5], [6], [4, 4], [4, 4], [6], [6], [6], [4, 4], [4, 4], [4, 6], [6], [6]]
[[5], [6], [6], [6], [4, 5], [6], [4, 4], [6], [6], [6], [4, 4], [4, 5], [6], [4, 4], [4, 5]]
[[6], [4, 4], [6], [6], [5], [6], [5], [4, 5], [6], [4, 4], [6], [6], [4, 4], [6], [5], [4, 4]]
[[5], [4, 4], [6], [6], [5], [4, 5], [6], [6], [4, 4], [6], [5], [4, 4], [4, 4], [6], [6], [6], []]
[[6], [6], [6], [5], [6], [4, 4], [4, 4], [], [4], [6], [4, 4], [5], [5], [4, 4], [6], [6], [5], [6]]
[[6], [4, 4], [4, 4], [], [5], [], [6], [4], [6], [6], [6], [6], [5], [6], [5], [4, 4], [5], [6], [4, 4]]
[[6], [], [5], [6], [4, 4], [], [4], [4, 4], [4, 4], [6], [5], [6], [], [4, 4], [5], [6], [5], [6], [6], [6]]
[[4], [5], [4], [6], [5], [4], [6], [4], [4], [4], [4], [6], [5], [6], [6], [6], [6], [5], [6], [4], [4]]
-EndAllocation

Instance: [[1], [103], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,21. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 5, 5, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6]]
[[], [3, 5, 5, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 5, 5], [3, 3, 3, 3], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [5, 5], [], [6, 6]]
[[6], [3, 6], [6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [5, 5], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [3, 5], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [5], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [6]]
[[6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [3, 3, 3], [6], []]
[[6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [6], [3, 3], [5], [3, 3]]
[[6], [3], [6], [3, 3], [5], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5], [6], [6], [], [6], [6], [6]]
[[6], [6], [6], [6], [6], [], [], [3, 3], [3, 3], [6], [5], [6], [3, 3], [6], [3], [6], [5], [6], [6], [6]]
[[6], [3], [], [6], [3, 3], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [5], [6], [3, 3], [5]]
-EndAllocation

Instance: [[1], [102], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,21. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3]]
[[6], [3, 3], [6], [3, 3], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6]]
[[6], [6], [6], [6], [], [], [], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [], [6], [3, 3], [], [6], [6], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [101], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,21. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6], [5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 6, 6]]
[[], [3, 5, 6, 6], [6, 6, 6], [3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6], [5, 6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [5, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 5], [3, 3, 3, 3], [3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [3, 3, 3, 3], [5, 6], [], [6, 6]]
[[6], [3, 6], [6], [3, 6], [6], [6], [3, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [5], [3, 6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 5], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [6], [6], [3], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5], [3, 3]]
[[6], [3, 3], [6], [3, 3], [5], [], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6]]
[[6], [6], [6], [6], [], [], [], [3, 3], [3, 3], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [], [6], [3, 3], [], [6], [6], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [5], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [110], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,22. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[4, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [4, 5, 5, 6, 6]]
[[6], [4, 5, 5, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6], [6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3], [5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [4, 5, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6], [5, 5, 6], [6]]
[[], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [3, 6, 6], [6, 6]]
[[6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [5, 5], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6]]
[[], [6, 6], [6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [5, 5], [6, 6], [4, 6]]
[[], [6, 6], [3, 3, 6], [6, 6], [6, 6], [4], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [5, 5]]
[[6], [3, 6], [6], [6], [3, 6], [5, 5], [3, 6], [6], [4, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [4, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [5, 5]]
[[6], [6], [6], [6], [6], [6], [4, 5], [3, 6], [3, 6], [3, 3, 3], [5], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [4], [5], [6], [3, 6], [3, 3, 3], [3, 5], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [4], [3, 3, 3]]
[[6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [5], [6], [3], [3, 3], [3, 5], [6]]
[[6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [], [4], [6], [3, 3], [6], [6], [5], [3, 3], [6], [3], [6]]
[[6], [6], [6], [], [6], [], [6], [6], [6], [6], [5], [3, 4], [6], [3, 3], [3, 3], [6], [6], [6], [3], [6], [5]]
[[6], [], [6], [5], [6], [], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [5], [6]]
-EndAllocation

Instance: [[1], [109], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,22. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 4], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [4, 6, 6, 6, 6]]
[[], [4, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6]]
[[6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6]]
[[], [6, 6], [6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 6]]
[[], [6, 6], [3, 3, 3], [6, 6], [6, 6], [4], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [4, 6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 4], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [4], [3, 3, 3]]
[[6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3], [3, 3], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [4], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3], [6]]
[[6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [3, 4], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], []]
[[6], [], [], [6], [6], [3], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [108], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,22. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], []]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], []]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6]]
[[6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], []]
[[6], [], [], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], []]
-EndAllocation

Instance: [[1], [107], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,22. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 5], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 6, 6, 6, 6]]
[[], [5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 6, 6], []]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 5, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [5, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], []]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [5, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [5, 6]]
[[6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 5], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [3, 3, 3], [5], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [], [6], [6], [3, 3, 3], [3, 3, 3], [3, 5], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [3, 3], [6], [6], [6], [3, 5], [6], [3, 3]]
[[6], [6], [6], [3], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 5], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [5], [3, 3], [], [3, 3], [6]]
[[6], [6], [6], [], [6], [], [6], [6], [6], [6], [5], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], []]
[[6], [], [], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5], []]
-EndAllocation

Instance: [[1], [106], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,22. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 4], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6]]
[[], [4, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 4, 6, 6]]
[[], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6], [6, 6, 6], []]
[[], [6], [4, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], []]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6]]
[[6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [4, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [4, 6], [6]]
[[6], [6], [6], [6], [6], [6], [4], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [3, 3, 3], [3, 3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [4], [3, 3]]
[[6], [4], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [4], [6], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6]]
[[6], [6], [3], [], [6], [], [6], [6], [6], [6], [6], [3, 4], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], []]
[[6], [], [], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [6], []]
-EndAllocation

Instance: [[1], [115], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,23. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 6], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5]
Allocation for m' = 2,...,23:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 4]]
[[4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6], [], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6]]
[[], [3, 3, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 4], [6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 4], [6, 6], [], [6, 6], [3, 3, 3]]
[[], [6, 6], [6, 6], [], [3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [4, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [3, 3, 3], [6], [4, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [4], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [4], [3, 3, 3], [6], [3, 6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3], [6], [6], [6], [3], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [4], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [4], [6], [6], [], [6], [3], [6], [6], [6], [3, 3], [], [6]]
[[], [6], [6], [6], [3, 3], [3, 3], [4], [3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [], [6]]
-EndAllocation

Instance: [[1], [114], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,23. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,23:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 6]]
[[], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6]]
[[], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [], [6], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [], [3, 3], [6], [6], [6], [3, 3], [], [6]]
[[], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [], [6]]
-EndAllocation

Instance: [[1], [113], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,23. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,23:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [5, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[6, 6, 6], [5, 6, 6], [6, 6, 6], [3, 3, 6, 6], [], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 6], [6, 6], [6, 6], [5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [6, 6], [5, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 6], [6, 6], [6, 6], [6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [5], [6, 6], []]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [5], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 5], [3, 6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [3, 3, 3], [6], [5], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [5]]
[[6], [3, 6], [], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6]]
[[6], [6], [5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [5], [6], [6], [6], [6], [6], [6], [6], [], [6], [], [6], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [], [3, 3], [6], [5], [6], [3, 3], [], [6]]
[[], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [], [6], [6], [], [6]]
-EndAllocation

Instance: [[1], [112], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,23. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6]]
[[], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 4], [], [6, 6, 6], [6, 6, 6], [6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 4]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 4], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 4], [3, 3, 3, 3], [6, 6], [3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [4]]
[[6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6]]
[[6], [3, 6], [4, 6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 4], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 4], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [4]]
[[6], [3, 4], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [4], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [3, 3], [6], [4], [], [6]]
[[6], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [4], [6], [], []]
[[6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [], [4], [6], [3, 3], [], [6], [3, 3]]
-EndAllocation

Instance: [[1], [111], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,23. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6]]
[[6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [6], [], [3, 3], [3, 3], [6], [3, 3], [6], [6], [], [6]]
[[6], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3], [3, 3], [6], [6], [6], [6], [], []]
[[6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [3], [6], [], [6], [3, 3], [], [6], [3, 3]]
-EndAllocation

Instance: [[1], [120], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,24. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 8, 8, 8, 8, 6], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,24:
-StartAllocation
[[3, 5, 5, 5, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 6, 6, 6], [4, 4, 4, 4, 4, 4, 5, 5, 6], [5, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 6], [3, 3, 3, 5, 5, 5, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 5, 6]]
[[], [], [4, 4, 4, 4, 4, 4], [3, 3, 3, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6], [4, 4, 4, 4, 4], [3, 3, 3, 6], [5, 5, 5], [6, 6, 6], [4, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 4, 5, 5], [4, 4, 4, 4], [], [3, 3, 3, 5], [6, 6, 6], [6, 6, 6]]
[[], [4, 4, 6], [6, 6], [4, 4, 4, 4], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6]]
[[6], [5, 5], [6, 6], [5, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [4, 4, 4], [6, 6], [4, 4, 4]]
[[], [6, 6], [5, 6], [6, 6], [3, 3, 3], [6, 6], [4, 4, 4], [6], [6, 6], [6, 6], [5, 5], [4, 4, 4]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 3], [], [6], [5, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4]]
[[], [], [6], [6, 6], [3, 3, 3], [6, 6], [], [5, 5], [5, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[6], [4, 6], [6], [4, 6], [4, 5], [5, 5], [6], [6], [4, 6], [6], [6], [4, 6], [6], [4, 6], [3, 3, 3]]
[[6], [6], [6], [5, 5], [6], [4, 6], [3, 3, 3], [4, 4], [6], [4, 6], [6], [6], [4, 5], [6], [4, 6], [6]]
[[6], [4, 4], [4, 4], [6], [4, 6], [5, 5], [6], [6], [6], [4, 6], [3, 3, 3], [5], [6], [6], [6], [6], [6]]
[[6], [6], [4, 4], [3, 6], [5], [6], [4, 4], [6], [4, 4], [3, 6], [3, 5], [6], [6], [6], [6], [6], [5], [6]]
[[6], [6], [6], [4, 4], [6], [6], [6], [6], [4], [4, 5], [6], [6], [5], [3, 3, 3], [6], [4, 4], [6], [5], [6]]
[[6], [4, 4], [6], [6], [6], [6], [], [6], [6], [6], [5], [5], [6], [6], [3, 5], [4, 4], [6], [3, 3], [4, 4], [6]]
[[6], [], [4, 4], [6], [6], [6], [6], [3, 5], [5], [6], [], [4, 4], [6], [6], [6], [5], [6], [4, 4], [6], [3, 3], [6]]
[[6], [6], [3], [4, 4], [6], [4, 4], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [], [4, 4], [], [5], [6], [6], [5]]
[[], [4, 4], [6], [5], [3, 3], [6], [6], [6], [6], [6], [5], [], [6], [3], [5], [6], [6], [4, 4], [6], [6], [6], [4, 4], []]
[[6], [3, 3], [6], [6], [4], [5], [6], [6], [], [4], [4], [6], [3], [5], [5], [4], [6], [6], [6], [6], [6], [4], [6], [4]]
-EndAllocation

Instance: [[1], [119], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,24. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6]]
[[], [4, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 5, 5]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 5, 5, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6]]
[[], [4, 6, 6], [5, 5, 6], [], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[6], [6, 6], [4, 5, 5], [6, 6], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6]]
[[], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [3, 3, 3], [6, 6], [4, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3], [6, 6], [6, 6], [3, 5, 5], [6, 6], [6], [6, 6], [4, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [5, 5], [], [3, 3, 3], [6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [5], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [4, 5], [6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [5], [6], [6], [6], [4, 5], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [3, 6], [4], [3, 3, 3], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 4], [5], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [4], [6], [6], [6], [5], [6], [3, 3], [6], [3], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3]]
[[6], [6], [6], [5], [6], [6], [6], [6], [], [3, 3], [6], [6], [5], [3, 3], [6], [6], [3, 3], [3], [6], [6], [4], [6]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [5], [3, 3], [], [4], [6]]
[[], [6], [4], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [3], [6], [5], [6], [3, 3], [5], [6], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [118], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,24. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [4, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6]]
[[], [4, 6, 6], [6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6], [4, 6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 4], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 6], [4], [6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [3, 3], [4], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [4], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[], [6], [6], [6], [4], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [4], [3, 3], [6], [6], [3, 3], [3, 3], [6], [], [6], [6]]
[[6], [6], [3, 3], [], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [4], [6]]
[[], [6], [6], [], [6], [3, 3], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [4], [6], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [117], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,24. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [3], [], [3, 3, 3, 3], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3], [6], [6]]
[[], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [6], [3, 3], [3, 3], [3], [6], [6], [6]]
[[6], [6], [3, 3], [], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [6], [3]]
[[], [6], [6], [], [6], [3, 3], [3], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [116], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,24. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5]]
[[], [6, 6, 6, 6], [6, 6, 6], [3, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 5]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6]]
[[6], [6, 6], [5, 6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [6, 6]]
[[6], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [6, 6], [6, 6], [3, 5, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [3, 3, 5], [6, 6], [], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [3, 5], [], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 5], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [5], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [5], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3], [6], [6]]
[[], [6], [6], [6], [6], [3], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [5], [3, 3], [6], [6], [3, 3], [3, 3], [3], [], [6], [6]]
[[6], [6], [3, 3], [], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [3, 3], [], [6], [3]]
[[], [6], [6], [], [6], [3, 3], [3], [], [6], [6], [3, 3], [3, 3], [6], [5], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [125], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,25. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [4, 4, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [4, 4, 6, 6, 6]]
[[], [6, 6], [3, 3, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 4, 4, 6]]
[[], [6, 6], [6, 6], [3, 6, 6], [3, 4, 4, 6], [6, 6], [3, 3, 3, 6], [6, 6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 4, 4], [6, 6], [6, 6]]
[[], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [4, 4], [3, 3, 3, 3], [6], [6]]
[[], [], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [6], [4, 6], [6], [3, 6]]
[[6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 6], [4, 6]]
[[6], [6], [3, 6], [4, 4], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [], [6], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3, 3]]
[[6], [3, 3], [6], [4, 4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [3]]
[[6], [], [6], [6], [3], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [4, 4], [], [6], [3, 3], []]
[[6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3], [6], [3, 3], [6], [6], [], [3, 3], [4], [4], [6], [6], [6]]
-EndAllocation

Instance: [[1], [124], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,25. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3], [3, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [4, 6, 6, 6, 6]]
[[], [6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6]]
[[], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 4, 6]]
[[], [3, 6, 6], [3], [3, 6, 6], [4, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4], [3, 3, 3, 3], [6, 6], []]
[[], [], [6, 6], [3, 3, 3, 3], [4, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [4], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6]]
[[6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [4, 6], [6]]
[[6], [6], [3, 6], [4], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [4], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3]]
[[6], [3, 3], [6], [4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [4], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 4], [], [6], [3, 3], []]
[[6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [3, 3], [], [4], [6], [6], [6]]
-EndAllocation

Instance: [[1], [123], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,25. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3], [3, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[], [6], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6]]
[[], [3, 6, 6], [3], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [6], [3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [6, 6], [], [6, 6], [3, 6], [6, 6], [6, 6], []]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3]]
[[6], [3, 3], [6], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3]]
[[6], [], [6], [6], [3, 3], [6], [3], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [3, 3], []]
[[6], [3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [122], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,25. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 5], [3, 6, 6, 6, 6], [6, 6, 6], [3, 6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[], [6], [3, 6, 6, 6], [6, 6, 6, 6], [5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [3, 5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6]]
[[], [3, 6, 6], [], [3, 6, 6], [3, 6, 6], [3, 3, 3, 6], [3, 6, 6], [5, 6, 6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [3, 3, 3, 5], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 5], [6, 6], [6, 6], [6, 6], [6], [6, 6]]
[[], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 6], [], [3, 3, 3, 3], [6, 6], [6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [6], [3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 6], []]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [6, 6], [], [6, 6], [3, 6], [5, 6], [6, 6], []]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 5], [6], [6]]
[[6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [5], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 5], [6], [6], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [3, 3, 3]]
[[6], [3, 3], [6], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [6], [6], [5], [3, 3], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3]]
[[6], [], [6], [5], [3, 3], [6], [3], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[5], [6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [3, 3], []]
[[6], [3], [], [3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [121], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,25. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [4, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6], [6, 6, 6], [3, 6, 6, 6, 6], [4, 6, 6, 6, 6]]
[[], [6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6]]
[[], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 4]]
[[], [3, 6, 6], [], [3, 6, 6], [4, 6, 6], [3, 3, 3, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [3, 3, 3, 4], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 4, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4], [3, 3, 3, 3], [6, 6], []]
[[], [], [6, 6], [3, 3, 3, 3], [4, 6], [6], [3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [4], [6, 6], [3, 6], [6, 6], [6, 6], []]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [4, 6], [6], [3, 3, 3]]
[[6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 6], [6]]
[[6], [6], [3, 3, 3], [4], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3]]
[[6], [3, 3], [6], [3, 4], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [4], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3]]
[[6], [], [6], [6], [3, 3], [6], [3], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 4], [], [6], [3, 3], []]
[[6], [3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [3, 3], [], [4], [6], [6], [6]]
-EndAllocation

Instance: [[1], [130], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,26. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[4], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [4, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [6], [3, 3, 3, 3], [4], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [], [4]]
[[], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [], [], [6, 6], [6, 6], [6, 6]]
[[6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [4], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 4]]
[[6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [4], [6]]
[[6], [], [6], [4], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[], [3, 3], [6], [6], [6], [4], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], []]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [], [4], [], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [129], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,26. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,26:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [], [3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 6], [], [], [], [], [6, 6], [6, 6], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3]]
[[6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [3, 3], [3, 3], [6], [6], [], [6]]
[[6], [], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3]]
[[], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], []]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [], [6], [], [3, 3], [6], [3], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [128], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,26. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6]]
[[6, 6], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6, 6, 6], [6, 6, 6, 6], [5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6], [4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6], [6, 6, 6, 6]]
[[], [6, 6], [3, 6, 6, 6], [4, 5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 5, 5], [6], [4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6]]
[[], [6, 6], [3, 6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 6, 6], [4, 5, 5], [6], [3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [4, 6], [3, 3, 3, 3], [5, 5], [6, 6], []]
[[6], [3, 6], [5, 5], [3, 6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 3, 4], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [4, 6], [3, 6], [6], [6], [3, 6], [6], [5, 5], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [5], [4], [6], [3, 6], [6], [6], [5], [3, 6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [4], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [5]]
[[6], [6], [6], [6], [6], [6], [4], [6], [6], [3, 6], [6], [6], [6], [5], [6], [3, 3, 3], [5], [6], [3, 3, 3], [], [3, 6]]
[[6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [6], [4], [3, 3], [3], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3]]
[[6], [3, 3], [3], [6], [], [6], [5], [4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 5], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [3, 5], [6], [6], [], [6], [6], [3, 5], [4], [6], [6], [6], [6], [6]]
[[], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 4], [3, 5], [6], [6], [], [3], [3, 5], [6], [6], [], [6], [], [6], [6], [6]]
[[6], [6], [], [5], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [6], [6], [6], [5], [], [4], [3, 3]]
-EndAllocation

Instance: [[1], [127], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,26. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5], [3, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [3, 5, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6]]
[[6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 6, 6], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [3], [6, 6], [3, 3, 3, 3]]
[[], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [5, 5], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [5, 5], [6], [3, 3, 3]]
[[6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 5], [6], [5], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [5], [6], [3, 3, 3], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [3, 5], [], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [3, 5], [6], [3, 3], [6], [5], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5], [3], [5], [3, 3]]
[[], [6], [6], [6], [5], [6], [], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [5], [3], [6], [6], [3, 3], [6], [6], [], [6], [6], [6]]
[[], [6], [], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [5], [6], [6], [6], [], [6], [6], [3], [6]]
-EndAllocation

Instance: [[1], [126], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,26. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3], [6, 6, 6, 6]]
[[], [6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6]]
[[], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 3, 3, 3], [6]]
[[], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6], [3, 3, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [], [], [3, 3], [6], [3, 3]]
[[6], [], [6], [], [3, 3], [], [6], [3, 3], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [135], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,27. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 4, 4, 5, 5, 6], [3, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 5, 5], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [5, 5, 6, 6], [3, 6, 6, 6], [4, 4, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [5, 5, 6], [3, 6], [6, 6, 6]]
[[], [5, 5, 6], [4, 4, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 6, 6]]
[[6], [5, 5, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 5, 5], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6]]
[[], [4, 5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [4, 6], [6, 6], [3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [], [5, 5], [3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4], [6, 6], [], [], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [5, 5], [3, 6], [6], [6], [4, 6], [6], [4, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [4, 6], [6], [6], [5, 5], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [4, 6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [5, 5], [4, 4]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [3, 6], [6], [6], [3, 5], [6], [6], [4, 4], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [4, 4], [6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [5], [6], [6]]
[[6], [], [6], [5], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 3, 3], [6], [5], [6], [6], [6], [4, 4], [6], [6], [6]]
[[6], [5], [6], [3], [6], [5], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5], [], [4, 4], [5], [6], [3, 3], [6]]
[[6], [3, 3], [6], [5], [5], [6], [6], [], [6], [3], [6], [6], [4, 4], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[], [6], [], [6], [6], [6], [3, 3], [], [3, 5], [6], [6], [3, 3], [5], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [4, 4]]
[[], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [3], [5], [], [6], [6], [4], [4], [6], [3, 3]]
-EndAllocation

Instance: [[1], [134], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,27. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 4], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [4, 4, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [6], [3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [4, 4, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 6, 6]]
[[6], [6, 6], [6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [4, 4, 6]]
[[], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [4, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [4, 4], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [4, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [4, 6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [4, 4]]
[[6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [], [6], [6], [], [6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [], [4, 4], [6], [6], [3, 3], [6]]
[[6], [3, 3], [6], [6], [], [6], [6], [], [6], [3, 3], [6], [6], [4, 4], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[], [6], [], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [4, 4]]
[[], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [3, 3], [], [6], [6], [4], [4], [6], [3, 3]]
-EndAllocation

Instance: [[1], [133], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,27. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6]]
[[5], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6]]
[[], [3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [5, 5], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [5, 5], [], [], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3], [6, 6], [3, 3, 3, 3], [5, 5], [], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [5, 5]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [5], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [5], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [5], [6], [5], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [6], [6], [6], [5]]
[[6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], []]
[[5], [6], [6], [6], [3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6]]
[[5], [6], [5], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6]]
[[6], [6], [6], [5], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3], [5], [6], [6], [6], [6]]
[[5], [3, 3], [3, 3], [5], [], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], []]
[[], [6], [6], [3], [3, 3], [6], [3, 3], [5], [3, 3], [6], [6], [], [3, 3], [], [6], [6], [5], [6], [6], [6], [6], [6], [6], [], [6], [6], [6]]
-EndAllocation

Instance: [[1], [132], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,27. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [], [], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3], [6, 6], [3, 3, 3, 3], [], [], [], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [3, 3, 3], [6], [6], [6], [6], [3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6]]
[[6], [6], [6], [], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], []]
[[], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6]]
-EndAllocation

Instance: [[1], [131], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,27. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6]]
[[5], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [5, 6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [5, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6], [5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [5, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [5, 6], [], [], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3], [6, 6], [3, 3, 3, 3], [5], [], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 5]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [5], [3, 6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [5], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3], [6], [6], [6], [5], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [3, 3, 3], [6], [6], [6], [6], [3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3]]
[[5], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[5], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], []]
[[6], [6], [6], [], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3, 3], [5], [6], [6], [6], [6]]
[[5], [3, 3], [3, 3], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], []]
[[], [6], [6], [3, 3], [3, 3], [6], [3, 3], [5], [3, 3], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6]]
-EndAllocation

Instance: [[1], [140], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,28. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6]]
[[4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6]]
[[], [6, 6, 6, 6], [5, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6, 6], [6], [6, 6, 6, 6]]
[[], [4, 6, 6], [5, 5, 5, 5], [6, 6], [5, 5, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6]]
[[], [5, 5, 5], [6, 6, 6], [4, 6, 6], [4, 4, 4, 4], [6, 6, 6], [4, 4], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4]]
[[], [5, 6, 6], [4, 6, 6], [4, 6, 6], [4, 6, 6], [6, 6], [5, 5], [4, 4, 4, 4], [6], [4, 4, 4, 4], [5, 5, 5]]
[[], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [4, 4, 6], [6, 6]]
[[], [6, 6], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [6, 6], [6], [4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [4, 4], [6, 6], [6], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], []]
[[], [], [5, 5], [6, 6], [4, 4, 4], [4, 4], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [], [6], [5, 5], [6, 6], [5, 5], [6, 6]]
[[], [5, 5], [4, 4, 4], [6, 6], [4, 4], [], [], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [6], [6, 6], [4, 4, 4]]
[[6], [4, 4], [6], [6], [4, 4], [5, 5], [6], [4, 6], [4, 4], [4, 6], [4, 6], [6], [5, 5], [6], [5, 5], [6], [6], [4, 4]]
[[6], [5, 5], [6], [4, 4], [6], [4, 4], [4, 4], [], [6], [6], [6], [4, 6], [4, 6], [6], [6], [4, 4], [4, 6], [5, 5], [5, 5]]
[[6], [6], [6], [6], [4, 5], [4, 5], [6], [4, 5], [4, 4], [6], [4, 4], [4, 5], [6], [5], [4, 4], [6], [6], [6], [6], [4, 5]]
[[5], [6], [6], [5], [4, 5], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 4], [5], [4, 4], [4, 5]]
[[6], [4, 5], [4, 4], [], [5], [4, 4], [6], [6], [6], [5], [4, 5], [6], [6], [4, 5], [6], [6], [6], [6], [6], [4, 4], [4, 4], [5]]
[[6], [5], [4, 5], [5], [4, 4], [6], [5], [5], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [6], [], [5], [4, 4]]
[[5], [6], [6], [6], [6], [4, 4], [6], [6], [6], [4, 4], [6], [5], [5], [4, 4], [6], [6], [4], [], [5], [4, 4], [5], [5], [6], [4, 4]]
[[6], [6], [5], [5], [6], [4, 4], [6], [6], [5], [6], [6], [6], [4, 4], [], [4, 4], [5], [4, 4], [6], [4], [5], [], [4, 4], [5], [6], [6]]
[[5], [4, 4], [4, 4], [6], [6], [6], [6], [5], [5], [6], [6], [], [6], [4, 4], [6], [4], [], [5], [5], [4, 4], [5], [6], [4, 4], [], [6], [6]]
[[5], [5], [4, 4], [6], [], [6], [6], [5], [4], [6], [6], [4, 4], [4, 4], [], [6], [6], [5], [4, 4], [5], [4, 4], [6], [5], [6], [], [6], [], [6]]
[[6], [6], [5], [5], [6], [6], [4], [6], [6], [4], [6], [4], [4], [5], [6], [5], [4], [6], [4], [5], [4], [5], [4], [4], [4], [4], [6], [6]]
-EndAllocation

Instance: [[1], [139], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,28. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6], [6, 6, 6, 6]]
[[], [4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [4, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6]]
[[6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 4, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [3, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3]]
[[], [6], [3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [4], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [], [6, 6], [6, 6], []]
[[6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [4, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [4], [6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 3, 3], [6], [3, 3, 3], [4], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [4], [3, 3], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [4], [], [6], [6], [6], [6], [3, 3], [6], [3], [6], [3, 3], [6], [6]]
[[6], [4], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [4], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [], [3, 3], [3, 3], [], [6], [6], [6], [3], [3, 3], [6]]
-EndAllocation

Instance: [[1], [138], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,28. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3], [6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3]]
[[], [], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], [6, 6], []]
[[6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6]]
[[6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [6]]
[[6], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [], [6], [6], [], [3, 3], [3, 3], [], [6], [6], [6], [3, 3], [3, 3], [6]]
-EndAllocation

Instance: [[1], [137], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,28. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 6, 6, 6, 6], [6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3], [6, 6]]
[[], [6, 6, 6], [5, 6, 6], [6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6], [5, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [5, 6, 6]]
[[], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 5], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 6], [6, 6], [6, 6], [5], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [3, 3, 5], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [5, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [5, 6], [], [6, 6], [6, 6], []]
[[6], [6], [6], [3, 6], [3, 6], [5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 5], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 5], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6]]
[[6], [6], [3, 3, 3], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [5], [3, 3]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [6]]
[[6], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [6], [3], [6], [3, 5], [6], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [3, 3], [], [6], [6], [6], [6], [3, 5], [6], [6], [6], [], [6], [], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [6], [3], [6], [3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [], [], [6], [6], [], [6], [6], [], [3, 3], [3, 3], [5], [6], [6], [6], [3, 3], [3, 3], [6]]
-EndAllocation

Instance: [[1], [136], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,28. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,28:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6]]
[[], [5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [5, 5, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6], [3, 3, 3, 6, 6], [6], [6, 6, 6]]
[[], [6, 6, 6], [], [3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 6], [5, 5], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6], [5, 5], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [3, 3, 6], [], [6, 6], [6, 6], [5, 5]]
[[], [], [6, 6], [], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [6, 6], [6], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [5, 5], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6]]
[[5], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6]]
[[6], [6], [6], [3, 5], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [5], [6], [6], [3, 3, 3]]
[[6], [6], [5], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 3, 3], [6], [5], [], [6], [6], [6]]
[[6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [5], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [3, 3], [5], [6], [6], [6]]
[[6], [3, 5], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [6], [3], [6], [6], [6]]
[[6], [6], [6], [5], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [], [5], [], [6], [3, 3], [6], [6], [6], [6]]
[[6], [], [3, 3], [6], [3, 5], [6], [6], [6], [6], [6], [6], [], [], [3, 3], [5], [6], [6], [6], [6], [3, 3], [3, 3], [], [6], [6], [6], [6], [3]]
[[], [6], [3, 3], [6], [5], [3, 3], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [], [6], [], [6], [], [3, 3]]
-EndAllocation

Instance: [[1], [145], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,29. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 6], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,29:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 5, 6, 6, 6, 6]]
[[], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [5, 5], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [3, 3, 3, 6], [6, 6], [6, 6]]
[[], [6, 6], [3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [3, 6, 6], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3], [5, 5], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 6], [6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [], [5, 5], [6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 5], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [5], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [3], [6, 6], [6, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [5, 5], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [5], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [3, 5], [3, 6], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [5], [6], [3, 3, 3], [3, 5], [6], [3, 3, 3], [6], [3, 6], [6], [6]]
[[6], [6], [6], [3, 5], [6], [6], [], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [5], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[5], [3, 3, 3], [6], [6], [6], [6], [], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [3, 3], [6], [3, 5], [6], [3, 3], [5], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6]]
[[5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [6], [], [3, 3], [6], [5], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3]]
[[], [3, 3], [5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [5], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [6]]
[[6], [], [6], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [5], [], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 5], [3, 3], [6], [6]]
[[6], [6], [6], [6], [3], [5], [], [6], [3, 3], [], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [5], [6], [6], [], [6], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [144], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,29. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,29:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[], [4, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 6, 6, 6, 6], [4, 6, 6, 6, 6]]
[[], [4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 6]]
[[], [5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6]]
[[], [5, 5, 5, 5], [], [5, 5, 5, 5], [5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6]]
[[], [4, 4, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [6, 6, 6], [5, 5, 5], [6, 6, 6], [5, 5], [6, 6, 6], [4, 4, 4, 4]]
[[], [5, 5, 6], [6, 6], [5, 5], [4, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 5], [4, 6, 6], [], [5, 5, 5]]
[[], [6, 6], [5, 5, 5], [5, 5, 5], [4, 6, 6], [5, 6], [6, 6], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [], [4, 6, 6], []]
[[], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], [4, 6], [5, 5], [5, 5], [5, 5], [5, 5]]
[[], [5, 5], [4, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [5, 5]]
[[], [4, 4, 4], [4, 4, 4], [], [6, 6], [5, 5], [5, 5], [4, 5], [5, 6], [5, 5], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], []]
[[], [5, 5], [6, 6], [4, 6], [5, 5], [5, 5], [5, 5], [], [4, 4, 4], [], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [4, 4, 4]]
[[6], [6], [4, 4], [6], [4, 6], [4, 4], [5, 5], [6], [5, 5], [6], [5, 5], [6], [6], [4, 4], [5, 5], [4, 6], [4, 4], [5, 5]]
[[6], [6], [6], [5, 5], [6], [4, 4], [4, 4], [4], [6], [6], [5, 5], [5, 5], [5, 5], [6], [4, 4], [5, 5], [4, 4], [4, 6], [6]]
[[6], [4, 4], [4, 6], [4, 4], [6], [6], [], [6], [5, 5], [6], [5, 5], [4, 4], [5, 5], [4, 6], [5, 5], [5, 5], [6], [], [4, 4], [6]]
[[5], [4, 5], [4, 5], [6], [4, 5], [5], [6], [4, 5], [4, 4], [4, 5], [6], [6], [4, 4], [4, 5], [6], [6], [6], [6], [5], [6], [5]]
[[6], [6], [5], [6], [4, 5], [5], [6], [5], [5], [4, 4], [6], [4, 5], [6], [4, 4], [6], [6], [4, 5], [5], [6], [4, 4], [4, 5], [5]]
[[6], [6], [4, 5], [4, 4], [4, 4], [6], [4, 4], [5], [6], [4, 4], [4, 5], [6], [5], [5], [5], [6], [6], [5], [6], [5], [6], [5], [5]]
[[6], [5], [5], [5], [5], [5], [6], [4, 4], [6], [6], [4, 4], [5], [6], [6], [4, 4], [4, 4], [6], [6], [6], [5], [4, 4], [5], [5], [5]]
[[5], [5], [6], [4, 4], [5], [], [6], [4, 4], [5], [6], [5], [6], [5], [6], [6], [4, 4], [6], [4, 4], [6], [5], [6], [5], [5], [4, 4], [5]]
[[5], [6], [5], [6], [4, 4], [5], [], [5], [], [5], [5], [4, 4], [5], [6], [5], [4, 4], [6], [4, 4], [6], [5], [6], [6], [4, 4], [5], [6], [6]]
[[5], [5], [5], [4, 4], [5], [5], [4, 4], [], [5], [4, 4], [6], [5], [6], [6], [6], [4, 4], [5], [6], [5], [], [5], [6], [6], [6], [4, 4], [], [6]]
[[5], [4, 4], [5], [5], [6], [], [4, 4], [6], [6], [5], [4, 4], [6], [5], [], [6], [5], [], [5], [], [5], [6], [4, 4], [6], [5], [5], [4, 4], [6], [6]]
[[4], [5], [4], [5], [4], [5], [4], [4], [6], [6], [5], [6], [6], [4], [4], [6], [4], [6], [5], [6], [6], [4], [5], [4], [5], [5], [5], [6], [5]]
-EndAllocation

Instance: [[1], [143], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,29. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6]]
[[5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[6], [4, 5, 5, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6], [6, 6, 6, 6], [3, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [3, 3, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6]]
[[], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6, 6], [6, 6, 6], [4, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [4, 6, 6], [3, 3, 3, 3, 3]]
[[6], [6, 6], [3, 6], [6, 6], [6, 6], [5, 5], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [], [6, 6], [3, 5, 5], [3, 3, 3, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6]]
[[], [6, 6], [3], [4, 6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6]]
[[], [3, 6], [6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3]]
[[], [3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [4], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6]]
[[3, 6], [3, 6], [6], [5, 5], [3, 6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [3, 6], [4, 6], [3, 6], [3, 3, 3], [6], [6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 6], [3, 6], [6], [6], [5, 5], [6], [6], [3, 6], [3, 6]]
[[4, 5], [3, 5], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4, 5], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [5], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [5], [6], [6], [6], [5], [6], [6]]
[[6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [6], [3], [5], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [4]]
[[6], [6], [6], [6], [3, 3], [5], [3, 4], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [5], [], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [3], [3, 3], [6], [6], [6], [5], [4], [6], [6], [6], [3, 3], [], [6], [6], [6], [5], [6], [], [6], [6]]
[[6], [6], [6], [6], [], [3, 3], [6], [5], [4], [6], [6], [], [6], [], [3, 3], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [5]]
[[6], [3, 3], [], [3, 3], [6], [], [6], [4], [5], [5], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [142], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,29. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [4, 6, 6, 6], [3, 3, 6, 6, 6]]
[[], [3, 6, 6, 6], [6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6]]
[[], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6]]
[[], [3, 6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3], [4, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6]]
[[], [3, 3, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [4], [3, 3, 3, 3], [6, 6], [6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [3, 6], [4, 6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [4], [6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3], [6]]
[[6], [], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [4]]
[[6], [6], [6], [6], [3, 3], [], [3, 4], [6], [6], [3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [4], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [], [], [3, 3], [6], [6], [4], [6], [6], [], [6], [], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [], [3, 3], [6], [], [6], [4], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [141], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,29. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 6, 6]]
[[], [3, 6, 6, 6], [], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6]]
[[], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3]]
[[], [3, 6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6]]
[[], [3, 3, 3], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3], [6]]
[[6], [], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [3], [6], [], [6], [6]]
[[6], [6], [6], [], [], [3, 3], [3], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [], [3, 3], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [], [3], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [150], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,30. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 6, 6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 6], [4, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 6], [3], [4, 4, 6, 6, 6, 6]]
[[4, 4, 4, 4, 4, 6], [3], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[3, 5, 5, 5, 6], [4, 4, 4, 4, 4, 4], [], [5, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4], [6, 6, 6]]
[[4, 4, 4, 4, 5], [3, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 6, 6]]
[[3, 5, 6], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4], [6, 6, 6], [], [5, 5, 5, 5], [6, 6, 6], [6]]
[[3, 4, 5, 6], [5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [], [5, 5, 6], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4]]
[[3, 4, 4, 6], [4, 5, 6], [5, 5, 5], [5, 5, 5], [6, 6], [], [6, 6], [4, 4, 4, 4], [4, 4, 6], [6, 6], [6, 6], [5, 5]]
[[3, 6, 6], [6, 6], [4, 4, 4, 4], [], [], [6, 6], [6, 6], [6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4], [4, 4, 6], [5, 5, 5]]
[[5, 6], [4, 4, 6], [4, 5, 5], [4, 5, 5], [6], [], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [3, 4, 4]]
[[3, 4, 6], [5, 5], [5, 5], [5, 5], [], [4, 4, 5], [4, 4, 4], [6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6], [6, 6], [6, 6]]
[[5, 6], [4, 4], [5, 5], [5, 5], [3, 5, 5], [4, 6], [6], [], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6]]
[[5, 6], [4, 4, 4], [5, 5], [5, 5], [4], [], [6], [6, 6], [5, 5], [5, 5], [], [6], [6, 6], [3, 4, 4], [6, 6], [4, 4, 4], [6, 6]]
[[6, 6], [5], [5, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [6], [5, 5], [], [], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [3]]
[[4, 6], [4, 6], [4, 6], [6], [5, 5], [4, 6], [4, 4], [5], [6], [3, 4], [5, 5], [6], [6], [6], [6], [6], [4, 4], [5, 5], [5, 5]]
[[4, 4], [5, 5], [5, 5], [3, 5], [5, 5], [6], [6], [6], [6], [], [4, 4], [4, 6], [6], [5, 5], [6], [4, 4], [4, 6], [6], [6], [4, 6]]
[[4, 6], [6], [6], [3, 5], [5, 5], [6], [5, 5], [6], [4, 4], [4, 4], [6], [5, 5], [6], [6], [5, 5], [6], [6], [6], [4, 4], [4, 4], []]
[[6], [6], [4, 4], [], [4, 5], [4, 5], [6], [4, 5], [6], [6], [4, 5], [6], [6], [5], [4, 5], [6], [6], [3, 6], [6], [5], [4, 5], [4, 5]]
[[6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [6], [6], [6], [4, 4], [4, 4], [4, 5], [5], [5], [5], [5], [5], [5], [4, 4], [6], [3, 6]]
[[6], [6], [6], [6], [4, 5], [4, 5], [3, 5], [6], [5], [6], [4, 4], [5], [], [6], [5], [6], [5], [4, 4], [6], [6], [6], [5], [4, 5], [4, 4]]
[[6], [6], [6], [6], [6], [5], [5], [6], [5], [5], [5], [6], [4, 4], [4, 4], [5], [5], [5], [5], [6], [6], [6], [4, 4], [6], [4, 4], [3, 4]]
[[6], [6], [6], [6], [5], [4], [4, 4], [], [5], [6], [5], [6], [5], [4, 4], [5], [5], [6], [6], [4, 4], [6], [6], [4, 4], [5], [6], [5], [3, 5]]
[[6], [6], [6], [6], [4, 4], [5], [5], [5], [6], [4, 4], [], [5], [6], [6], [4, 4], [6], [5], [5], [4, 4], [6], [5], [5], [6], [], [6], [5], [3, 4]]
[[6], [6], [6], [6], [4, 4], [5], [6], [6], [6], [5], [6], [5], [4, 4], [], [], [4, 4], [4, 4], [6], [5], [6], [5], [5], [6], [5], [5], [5], [], [3, 4]]
[[6], [6], [6], [6], [6], [4, 4], [4], [5], [4, 4], [5], [6], [6], [4, 4], [], [6], [6], [], [5], [5], [6], [5], [], [6], [5], [], [5], [5], [3, 5], [4, 4]]
[[6], [6], [6], [3], [5], [5], [5], [5], [5], [4], [4], [4], [6], [6], [5], [5], [6], [4], [6], [4], [6], [6], [5], [4], [4], [5], [4], [6], [4], [6]]
-EndAllocation

Instance: [[1], [149], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,30. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[5, 6, 6, 6], [4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 6, 6, 6, 6]]
[[6, 6], [6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[6], [3, 6, 6, 6], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [4, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 4], [6, 6, 6], [5, 5], [6, 6], [6, 6, 6]]
[[], [3, 3, 3], [6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 4], [6, 6], [6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 5, 5], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 6]]
[[], [3, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6], [6, 6], [6, 6], [4], [6, 6], [3, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6], [3, 3, 3, 3], [6, 6], [], [6], [3, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [4], [6, 6], [], [6], [3, 3, 3, 3], [], [3, 6], [], [6, 6], [6, 6]]
[[6], [4, 6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [4, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [4, 6], [6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [4], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [5], [6], [6], [5]]
[[6], [6], [4], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [3, 6], [5], [6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [5], [4], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [5], [6], [5], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [5], [3], [6], [6], [6], [3, 3], [6], [3, 3], [5], [3, 3], [3, 3], [4], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3], [3, 3], [6], [6], [6], [4], [3, 3], [6], [], [5], [3, 3], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [3, 3], [6], [3, 5], [6], [], [6], [4]]
[[6], [], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3], [6], [6], [], [4], [5], [3, 3], [6], [6], [6]]
[[5], [6], [6], [], [4], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [3, 3], [6], [], [6], [], [3, 3], [6], [5], [6], [], [6], [3, 3]]
-EndAllocation

Instance: [[1], [148], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,30. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5], [6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [5, 5, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 6]]
[[], [3, 3, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6], [6, 6], [6, 6], [], [6, 6], [3, 3, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6], [], [], [3, 3, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [3, 3, 6], [], [6, 6], [6]]
[[6], [6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [5, 5], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [5], [5], [6], [6]]
[[6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [5], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [5], [6], [6], [6], [], [6], [3, 6]]
[[6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [5], [6], [5], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [], [6], [3, 3], [6], [3, 3], [5], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [5], [3, 3], [6], [6], [6], [], [3, 3], [6], [5], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [3, 3], [6], [3, 5], [6], [], [6], [3]]
[[6], [], [6], [], [6], [3, 3], [6], [], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [6], [5], [3, 3], [6], [6], [6]]
[[5], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [], [3, 3], [6], [5], [6], [], [6], [3, 3]]
-EndAllocation

Instance: [[1], [147], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,30. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 6, 6, 6], [3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6]]
[[], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [], [6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [3, 3], [3, 3]]
[[6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [3], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [3], [], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [3, 3], [], [6], [6], [6]]
[[6], [], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [3, 3], [6], [], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [6], [6], [3], [6]]
-EndAllocation

Instance: [[1], [146], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,30. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 5, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [5, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 5]]
[[], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3], [6, 6], [5, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [5, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [], [3, 3, 3], [5, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6]]
[[], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [], [6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6], [], [5, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [5], [3, 6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 3, 3], [5], [6]]
[[6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [3, 5], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6]]
[[5], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6]]
[[6], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 5], [], [3, 3], [3, 3]]
[[6], [6], [3, 3], [6], [], [6], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6]]
[[], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [3, 3], [6], [3], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [3], [], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [5], [6], [3, 3], [3, 3], [], [6], [6], [6]]
[[6], [], [6], [6], [3, 3], [], [3], [6], [3, 3], [6], [5], [6], [], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [6], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [155], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,31. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6]]
[[], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 6, 6]]
[[], [4], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [3, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [5, 5, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [5, 5, 6], [3, 3, 3, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [5, 5, 6], [6], [3, 3, 3, 3, 3], [6, 6]]
[[], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [4, 6], [6, 6], [3, 6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6], [], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 6], [6, 6]]
[[], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6], [], [3, 3, 3, 3]]
[[], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [], [6, 6], [], [3, 6], [6, 6], [6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 6], [6, 6], [], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [5, 5]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6]]
[[6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [3, 6], [6], [5, 5], [6], [6]]
[[6], [6], [6], [4, 6], [3, 3, 3], [6], [6], [5, 5], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [5], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 4], [6], [6], [3, 6], [5], [3, 6]]
[[6], [6], [3, 6], [6], [6], [6], [4], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 5], [6], [6], [6], [6], [5], [6], [3, 3, 3]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4]]
[[5], [6], [6], [3, 5], [4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [5], [6], [6], [3, 3], [5], [4], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [3, 3], [6], [6], [3, 3]]
[[6], [6], [3, 5], [6], [], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [4], [3, 5], [6], [6], [6], [6], [6], [6], [3], [6], [], [6], [6], [6], [6]]
[[6], [6], [6], [6], [4], [6], [5], [6], [6], [6], [6], [6], [6], [], [6], [], [3], [6], [3, 3], [6], [6], [5], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3]]
[[5], [6], [3, 4], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [], [6], [5], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3], [5], [6], [6], [6], [5], [3, 3], [6], [3, 3], [], [], [4], [], [6], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [154], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,31. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,31:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 5, 5, 6], [3, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 6, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6, 6], [5, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 5, 5, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6], [6], [6, 6, 6]]
[[], [6, 6, 6], [5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], []]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [6, 6], [3, 3], [5, 5], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [5, 5], [], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [], [5, 5]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3], [], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [5, 5], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6], [6, 6], [], [3, 3], [6, 6], [6, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [3, 5], [3, 6], [6], [6], [6], [3, 6], [6], [6], [5], [6], [6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [5], [6], [6], [3, 3, 3], [5], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [6], [6], [5], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 6], [6], [5], [6], [6], [6], [3, 6], [3, 5], [6], [6], [6], [3, 6], [6], [6], [6], [6], [], [3, 3, 3], [3, 3, 3], [6]]
[[6], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [5], [3, 3], [6], [], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [3, 5], [3, 3], [5], [6], [6], [3], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3]]
[[5], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [], [5], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6]]
[[], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [3, 3], [6], [6], [3, 3], [3], [6], [6], [6], [5], [6], [3, 5], [6], [6], [6], [], [3, 3]]
[[6], [3, 3], [6], [6], [5], [6], [], [3, 3], [6], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [5], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [153], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,31. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,31:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [3, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [6], [6, 6, 6]]
[[], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6]]
[[6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [], [3, 3, 3], [6, 6], [6, 6]]
[[6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 3, 3], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3, 3], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [3], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [3], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3]]
[[6], [6], [3], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6]]
[[], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [3, 3], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [3, 3]]
[[6], [3, 3], [6], [6], [3, 3], [6], [], [3], [6], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [152], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,31. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 3, 4, 6, 6], [6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6], [3, 4, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6], [6, 6], [4, 6, 6, 6], [5, 5, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 4, 6], [6], [6, 6, 6], [5, 5, 6], [3, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [4, 6], []]
[[6], [6, 6], [6, 6], [4, 6, 6], [3, 3, 3, 3], [5, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6], [5, 6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[6], [4, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3]]
[[], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [5, 5], [3, 3, 6], [6, 6], [6], []]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [3, 3, 6], [6, 6], [4, 6], [5, 5], [6, 6], [], [6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [5, 5], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [3, 6], [5, 5], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6]]
[[6], [4, 6], [6], [3, 6], [6], [3, 6], [5, 5], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 5], [4, 5], [6], [6]]
[[6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [5], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [5], [6], [4], [3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [3, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [5], [3, 3, 3], [6], [6], [6]]
[[6], [5], [], [5], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3]]
[[6], [3], [6], [3, 3], [3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [6], [4], [6], [3, 5], [6], [], [6], [3], [3, 3], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 5], [6], [6], [4], [3, 3], [5], [6], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3]]
[[5], [6], [3, 3], [6], [], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [], [4], [6]]
[[6], [6], [], [], [5], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [4], [6], [6], [6]]
[[6], [], [3, 3], [5], [6], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [4], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [3, 3], [3, 3], [5], [6]]
-EndAllocation

Instance: [[1], [151], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,31. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6], [3, 4, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 4, 6], [], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [4, 6], []]
[[6], [6, 6], [6, 6], [4, 6, 6], [3, 3, 3, 3], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6]]
[[], [4, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3]]
[[], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [], [6, 6], [6, 6]]
[[], [], [3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [], [], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6]]
[[6], [4, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [4], [6], [6]]
[[6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [4], [3, 3, 3]]
[[6], [6], [3, 3, 3], [6], [6], [3, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [3, 3, 3]]
[[6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [3, 3], [6]]
[[6], [6], [6], [4], [6], [3, 3], [6], [], [6], [3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3], [4], [3, 3], [6], [6], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3]]
[[6], [6], [3, 3], [6], [], [6], [6], [], [3, 3], [3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [4], [6]]
[[], [6], [], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [], [3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [4], [6], [6], [6]]
[[6], [], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [3], [3, 3], [3, 3], [], [6]]
-EndAllocation

Instance: [[1], [160], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,32. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [4, 4, 4, 5, 5, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6], [4, 4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 6, 6], [4, 4, 5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6]]
[[], [4, 6, 6], [5, 5, 6, 6], [4, 4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 5, 5], [4, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [4, 4, 5, 6], [4, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [4, 6, 6], [5, 5, 6], [3, 3, 6], [6]]
[[], [3, 3, 6, 6], [4, 6, 6], [], [6, 6, 6], [4, 4, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [5, 5], [6, 6, 6]]
[[], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [4, 4, 6], [4, 6, 6], [6, 6]]
[[], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 4, 6], [3, 3, 3, 3, 3], [], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6]]
[[], [6, 6], [5, 5], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [4, 6]]
[[], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [5, 5], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [4, 6], [4, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [4, 6], [5, 5], [4, 6], [6, 6], [], [6, 6], [], [6, 6], []]
[[], [6, 6], [4, 6], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [], [], [], [3, 4, 4], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 3, 6]]
[[6], [6], [3, 6], [6], [3, 6], [5, 5], [4, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [4, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [4, 6], [6], [5, 5], [3, 6], [4, 6], [3, 6]]
[[6], [4, 4], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [5, 5], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [4, 6]]
[[6], [6], [6], [5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [5], [6], [6], [3, 6], [6], [3, 4], [3, 6], [3, 6], [6], [6], [6], [4, 4], [6]]
[[6], [4, 4], [6], [3, 6], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [4, 5], [6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [4], [6], [6], [6], [6], [6], [6], [4], [3, 3, 3], [3, 6], [6], [4, 5], [6], [6], [6], [6], [5], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [4, 4], [3, 6], [], [6], [6], [6], [4], [6], [6], [6], [5], [6], [6], [6], [5], [6], [6], [3, 3, 3], [6], [6], [3, 6]]
[[6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [4], [6], [4, 4], [6], [6], [6]]
[[6], [6], [6], [6], [4, 4], [6], [4], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [5], [6], [5], [6], [6], [6], [3, 3], [3, 3], []]
[[5], [6], [6], [5], [6], [6], [3, 3], [4, 4], [6], [4], [6], [6], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3]]
[[6], [6], [4], [3, 3], [6], [], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [4, 4], [5], [3, 3], [5], [6]]
[[6], [3, 3], [], [6], [6], [6], [6], [3, 3], [4], [], [6], [], [], [6], [6], [6], [4, 4], [3, 3], [3, 3], [6], [6], [5], [6], [6], [6], [6], [5], [6], [6], [6], [6]]
[[], [6], [], [4], [], [6], [6], [6], [5], [3, 3], [3, 3], [6], [5], [6], [6], [4], [3, 3], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6]]
-EndAllocation

Instance: [[1], [159], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,32. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [], [3, 3, 3, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5], [3, 3, 3], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 5, 5, 5], [5, 5], [6, 6, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [3, 3, 3], [6, 6, 6, 6]]
[[5, 5, 5, 6], [5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4], [5]]
[[5, 5, 5, 5], [4, 5, 5, 5], [5], [6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [3, 3, 3], [5, 5, 5, 5], [6, 6, 6]]
[[4, 5, 5, 5], [5], [5, 5, 5, 5], [6, 6], [], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3]]
[[5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 4, 4], [6, 6], [], [], [5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6]]
[[5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 6], [4, 6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [], [6, 6], [6, 6], [6, 6], [3, 3, 3]]
[[4, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 4], [], [6, 6], [5, 6]]
[[5, 5], [3, 3, 3, 5], [5, 5], [5, 5], [], [4, 4, 5], [4, 4, 4], [6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [4, 5, 5]]
[[6], [3, 3, 3], [5, 5], [5, 5], [6, 6], [6, 6], [4, 4, 4], [], [6, 6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5]]
[[4, 4], [5, 5], [5, 5], [5, 5], [3, 3, 3, 4], [6], [6, 6], [], [5, 5], [6, 6], [], [6, 6], [5, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6]]
[[5, 5], [5, 5], [5, 5], [5, 5], [], [3, 3, 3], [4, 4, 4], [6], [6, 6], [4, 4, 4], [5, 5], [], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6]]
[[5, 5], [5, 5], [], [6], [6, 6], [3, 3, 3], [6, 6], [5, 5], [5, 5], [4, 4, 4], [5, 5], [6, 6], [], [5, 5], [], [6, 6], [], [4, 4, 4], [6, 6]]
[[4, 5], [5, 5], [3, 6], [5, 5], [5], [6], [4, 6], [6], [4, 6], [6], [3, 6], [6], [6], [3, 6], [5, 5], [5, 5], [5, 5], [4, 6], [], [4, 4]]
[[6], [5, 5], [5, 5], [5, 5], [3, 6], [6], [6], [6], [3, 6], [4, 4], [6], [], [6], [6], [3, 6], [5, 5], [6], [4, 4], [5, 5], [4, 4], [5, 5]]
[[5, 5], [5, 5], [5, 5], [4, 6], [3, 3, 3], [6], [4, 4], [4, 6], [6], [4, 6], [], [6], [6], [5, 5], [6], [], [6], [5, 5], [6], [5, 5], [], [4, 6]]
[[4, 5], [3, 5], [3, 5], [6], [6], [4, 5], [4, 5], [6], [6], [6], [5], [6], [3, 6], [5], [6], [6], [5], [6], [5], [4, 5], [6], [4, 5], [4, 5]]
[[3, 6], [4, 5], [4, 5], [4, 5], [6], [6], [4, 5], [3, 5], [5], [5], [6], [4, 4], [6], [6], [6], [6], [6], [5], [6], [5], [5], [6], [5], [3, 5]]
[[6], [6], [4, 4], [6], [6], [6], [4, 5], [6], [4, 5], [5], [5], [6], [6], [5], [5], [6], [5], [5], [4, 5], [5], [5], [6], [3, 3, 3], [4, 5], [6]]
[[6], [6], [4, 5], [4, 5], [4, 5], [4, 5], [6], [6], [6], [], [5], [3, 6], [3, 6], [5], [6], [], [4, 4], [6], [5], [5], [3, 6], [5], [5], [5], [5], [6]]
[[6], [4, 4], [3, 5], [5], [6], [3, 3], [6], [6], [6], [4, 4], [6], [5], [5], [4, 4], [5], [5], [5], [6], [5], [6], [5], [6], [6], [5], [6], [5], [5]]
[[6], [3, 4], [6], [5], [6], [5], [6], [6], [3, 3], [5], [4, 4], [6], [4], [5], [6], [5], [5], [6], [5], [5], [5], [6], [5], [5], [5], [6], [4, 4], [6]]
[[5], [4, 4], [6], [6], [5], [6], [6], [6], [6], [5], [5], [6], [4, 4], [4, 4], [6], [6], [5], [3, 5], [], [6], [5], [5], [5], [], [3, 3], [5], [5], [5], [6]]
[[6], [5], [6], [6], [6], [5], [3, 5], [5], [5], [4, 4], [5], [4, 4], [4, 4], [6], [], [], [6], [], [5], [5], [5], [5], [6], [], [6], [6], [3, 5], [3, 5], [6], [6]]
[[6], [5], [5], [5], [6], [6], [], [5], [6], [6], [6], [5], [4, 4], [5], [5], [6], [4, 4], [5], [], [6], [5], [6], [], [3], [5], [6], [3, 3], [4, 4], [6], [5], [5]]
[[6], [4], [5], [5], [5], [5], [5], [5], [4], [3], [4], [6], [6], [5], [5], [6], [], [4], [3, 3], [6], [5], [6], [5], [5], [6], [6], [6], [6], [6], [5], [4], [4]]
-EndAllocation

Instance: [[1], [158], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,32. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 4, 4], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [3, 4, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [4, 4, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 4, 4, 6], [3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], []]
[[6], [3, 3, 3, 3, 3], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3], [3, 3, 3, 3], [6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6], [], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6]]
[[], [3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4], [], [3, 3, 3, 3], [6, 6]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4, 4]]
[[6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [4], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [4], [6], [6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4, 4], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6]]
[[], [3, 6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [], [6], [3, 3]]
[[6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [4, 4], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [4, 4], [3, 3], [], [6], [6], [3, 3], [], [], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [4, 4], [6], [6], [], [6], [6], [6], []]
[[6], [3, 3], [3, 3], [6], [4], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [], [6], [4], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
-EndAllocation

Instance: [[1], [157], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,32. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 6], [3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 4], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [4, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [3, 4, 6, 6], [6, 6, 6], [6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], []]
[[], [3, 3, 3, 3, 3], [4, 6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [4], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6]]
[[], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [4, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4], [], [3, 3, 3, 3], [6, 6]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4, 6]]
[[6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4], [3, 6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [4], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 4], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3, 3], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [], [6], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [4], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [4], [3, 3], [], [6], [6], [3, 3], [], [], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [6], [6], [], [6], [3, 3], [3], [3, 3], [6], [4], [6], [6], [], [6], [6], [6], []]
[[6], [3, 3], [3, 3], [6], [4], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [3]]
-EndAllocation

Instance: [[1], [156], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,32. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6], [3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], []]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [3, 6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [3, 3], [], [6], [6], [3, 3], [], [], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [], [6], [6], [], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], []]
[[6], [3, 3], [3, 3], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [165], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,33. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6], [4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [5, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[], [4, 5, 5, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 6]]
[[], [5, 5, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [6], [3, 6, 6, 6], [5, 5, 5, 5], [3, 6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 3, 3, 4], [6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 4], [3, 3, 3, 3, 3, 3], [5], [6, 6, 6], [6, 6, 6], [5, 5, 5]]
[[6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [5, 6, 6], [5, 5, 5], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 3, 4], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [3, 6], [6, 6], [6, 6], [6, 6], [4, 5, 5], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 5, 5], [6, 6], [4, 6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [5, 5], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [6]]
[[], [5, 5], [6, 6], [3], [3, 3, 3, 3], [6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4]]
[[], [], [], [5, 5], [5], [6, 6], [6, 6], [], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [6], [6], [6], [6], [3, 6], [5, 5], [4, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [5, 5], [3, 3, 3], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [6], [5, 5], [6], [6], [3, 6], [6], [6]]
[[6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [4, 6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [6]]
[[5], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [6], [6], [6], [6], [6], [5], [6], [4, 5], [6], [3, 3, 3], [3, 6], [6], [3, 6]]
[[5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4, 5], [5], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [5], [3, 3, 3], [6], [3, 4], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [5], [5]]
[[6], [6], [3, 3], [5], [5], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [5], [6], [6], [4], [3, 6], [6]]
[[6], [5], [6], [6], [3, 3], [5], [6], [6], [6], [3, 5], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6], [4], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [4], [3, 3], [5], [6], [3], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [], [6], [3, 5], [3, 5], [6], [3, 3]]
[[5], [6], [6], [6], [6], [], [6], [6], [3, 5], [6], [6], [4], [6], [3, 3], [3, 5], [6], [6], [3, 5], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [6], [6], [6], [5], [3, 3], [6], [5], [6], [6], [5], [5], [3, 3], [6], [6], [6], [3, 3], [6], [6], [4], [3], [6]]
[[6], [3], [5], [3, 3], [], [6], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [4], [6], [5]]
[[6], [], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [5], [3, 3], [5], [6], [6], [3], [], [6], [6], [3, 3], [6], [6], [6], [6], [4], [], [6], [3, 3], [6], [6], [], [5]]
-EndAllocation

Instance: [[1], [164], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,33. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [4, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [3, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 4], [6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6], [4, 6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 4], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 5, 5], [6, 6], [4, 6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], []]
[[], [5, 5], [6, 6], [3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4]]
[[], [6], [], [5, 5], [], [6, 6], [6, 6], [], [6, 6], [4, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [5, 5], [4, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [5, 5], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [4, 6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 3, 3], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [4, 5], [6], [3, 6], [6], [6], [3, 6]]
[[5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4], [5], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [3, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6]]
[[6], [6], [3, 3, 3], [6], [5], [6], [], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [4], [3, 6], [6]]
[[6], [5], [6], [6], [3, 3], [5], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [4], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [4], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 5], [3, 5], [6], [3, 3]]
[[6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [4], [6], [3, 3], [3, 5], [6], [6], [3, 5], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [6], [5], [5], [3, 3], [6], [6], [6], [3, 3], [6], [6], [4], [3, 3], [6]]
[[6], [3, 3], [5], [3, 3], [], [6], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [], [4], [6], [6]]
[[6], [], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [6], [6], [4], [], [6], [3, 3], [6], [6], [], [5]]
-EndAllocation

Instance: [[1], [163], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,33. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 5, 5], [6, 6, 6]]
[[], [6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 5, 5], [6, 6], [6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], []]
[[], [5, 5], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [], [5, 5], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [3, 6], [3, 6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [5, 5], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 3, 3], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [5], [3, 6]]
[[5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [], [3, 6], [6], [5], [6]]
[[6], [6], [3, 3, 3], [6], [3, 5], [6], [], [6], [5], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6]]
[[6], [5], [6], [6], [3, 3], [5], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 5], [3, 5], [3], [3, 3]]
[[6], [6], [6], [6], [6], [], [3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 5], [6], [6], [3, 5], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [6], [6], [6], [3], [3, 3], [6], [], [6], [6], [5], [5], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [5], [3, 3], [], [3], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [], [6], [6]]
[[6], [], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [3], [], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [], [5]]
-EndAllocation

Instance: [[1], [162], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,33. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 6, 6, 6, 6], [6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6]]
[[], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], []]
[[], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6]]
[[], [6], [], [], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [], [3, 6], [], [6], [6]]
[[6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6]]
[[6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [6], [3, 3], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [], [], [6], [6]]
[[6], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [], [], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [], [3, 3]]
-EndAllocation

Instance: [[1], [161], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,33. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,33:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6], [3, 3, 6, 6, 6, 6], [5, 6, 6, 6, 6]]
[[], [6, 6], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [5, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 6, 6], [6, 6, 6], [6, 6, 6], [], []]
[[6], [5, 6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6]]
[[], [6, 6], [6, 6], [5], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], []]
[[], [3, 3, 3, 3], [3, 3, 5], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6], [], [6, 6], [3, 3, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [5, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3]]
[[6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 5], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 5], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 5], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6]]
[[5], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3], [3, 5], [6], [6], [6], [3, 3, 3], [6], [6], [], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [5], [], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [], [6], [6], [6], [], [6], [6], [3, 5], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6], [3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [3, 3]]
[[6], [3, 3], [6], [], [6], [6], [6], [3, 3], [6], [], [6], [], [], [3, 3], [3, 3], [6], [6], [5], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [5], [3, 3], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6]]
[[6], [], [], [6], [3, 3], [5], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [], [3, 3], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], []]
-EndAllocation

Instance: [[1], [170], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,34. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,34:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6]]
[[6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 5], [4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 5, 6, 6], [3, 3, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6], [6, 6], [6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 6, 6], [5, 5, 6], [6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 4], [6, 6, 6], [3, 5, 5, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5], [4, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [3, 3, 3, 3, 4], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5, 6], [], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 4], [6]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [6, 6], [], [6, 6], [5, 6], [6, 6], [6, 6], [6], [], [4, 5], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [5, 5], [3, 3, 4], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [4, 6], [6], [6, 6], [6, 6], [], [3, 3, 3, 3]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [6], [3, 6], [5, 5], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [5, 5], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [4, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3]]
[[5], [6], [5], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 4], [3, 6], [3, 6]]
[[6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [5], [5], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [5], [3, 3, 3], [6], [6], [6], [5], [6], [4], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3]]
[[5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3], [6], [3, 3], [3, 4], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [4], [5], [6], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6]]
[[6], [3, 3], [3, 3], [5], [6], [6], [6], [6], [6], [], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [4], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [4], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [], [], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [5], [6]]
[[6], [6], [6], [6], [3, 3], [6], [4], [6], [6], [3, 3], [5], [6], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [6], [5], [6], [6], [6], []]
[[5], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [5], [], [6], [], [], [3, 3], [4], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [169], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,34. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,34:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6]]
[[6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6]]
[[], [6, 6], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 4], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6]]
[[], [3, 3, 3, 3], [6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 4], [6, 6]]
[[], [3, 3, 3, 3], [], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3]]
[[], [], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 6], [], [6], [6, 6], [], [3, 3, 3, 3]]
[[6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [4, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 4], [6], [3, 6]]
[[6], [4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3]]
[[6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [3, 4], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [4], [3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [], [], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [4], [6], [6], [3, 3], [6], [6], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], []]
[[6], [6], [3], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [6], [], [], [3, 3], [4], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [168], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,34. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,34:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 4, 4, 4, 5], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6, 6], []]
[[6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [6, 6], [5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6], [], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6, 6], [], [5, 5, 6, 6, 6]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3], [5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], []]
[[4, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[4, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5], [], [6, 6, 6]]
[[4, 4], [4, 4, 4, 4], [5, 5, 5], [6, 6, 6], [5, 5, 5], [3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [5, 5, 5], [6, 6, 6], [5, 5, 5]]
[[5, 5, 5], [5, 5, 5], [5, 5, 5], [6, 6], [4, 4, 4, 4], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [5, 5, 5]]
[[5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4], [4, 6, 6], [6, 6], [5, 5, 5], [6, 6], [6, 6], [5, 5, 5], [6, 6], [6, 6], [], [4]]
[[5, 5, 5], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [], [4, 4], [5, 5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4]]
[[4, 5, 5], [5, 5], [5, 5], [6], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [5, 5], [4, 4, 6], [5, 5]]
[[5, 5], [5, 5], [6, 6], [4, 4, 4], [], [], [3, 3, 3, 3], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6]]
[[5, 5], [5, 5], [], [5, 5], [], [3, 3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[5, 5], [], [4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [5, 5], [6, 6], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [], [], [6, 6], [6, 6]]
[[5, 5], [3, 3, 3, 3], [], [5, 5], [], [5, 5], [5, 5], [], [5, 5], [], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [], [6, 6]]
[[4, 6], [5, 5], [5, 5], [5, 5], [4, 4], [4, 6], [5, 5], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 3, 3], [5, 5], [6], [6], [6], [4, 4], [6]]
[[3, 6], [6], [5, 5], [5, 5], [6], [6], [4, 4], [6], [6], [5, 5], [6], [4, 6], [6], [5, 5], [5, 5], [3, 3, 3], [6], [4, 4], [], [5, 5], [6], [4, 6]]
[[4, 6], [5, 5], [5, 5], [5, 5], [4, 4], [4, 6], [5, 5], [6], [], [6], [3, 6], [6], [3, 3, 3], [5, 5], [6], [4, 4], [6], [6], [5, 5], [6], [], [6], [6]]
[[3, 5], [6], [6], [3, 5], [3, 5], [4, 5], [4, 5], [6], [6], [4, 5], [4, 5], [6], [6], [5], [6], [5], [5], [4, 5], [6], [6], [6], [4, 5], [6], [3, 6]]
[[3, 6], [3, 5], [4, 5], [6], [4, 4], [5], [5], [4, 5], [6], [6], [6], [6], [6], [3, 5], [5], [5], [6], [5], [6], [5], [4, 5], [6], [3, 6], [4, 5], [6]]
[[4, 5], [6], [3, 5], [5], [5], [3, 5], [6], [6], [5], [6], [5], [6], [3, 6], [5], [6], [6], [4, 4], [6], [5], [4, 5], [5], [3, 6], [6], [4, 4], [6], [5]]
[[4, 4], [4, 5], [3], [6], [6], [5], [4, 5], [6], [5], [3, 6], [5], [5], [], [6], [6], [6], [6], [3, 6], [5], [6], [4, 5], [3, 6], [5], [5], [6], [5], [4, 5]]
[[6], [5], [3, 5], [6], [5], [6], [6], [6], [3, 3], [5], [6], [6], [6], [5], [5], [5], [5], [6], [5], [4, 4], [3, 5], [5], [6], [6], [6], [4, 4], [4, 4], [5]]
[[6], [6], [6], [5], [5], [3, 3], [4, 4], [3, 3], [4, 4], [6], [6], [6], [5], [6], [6], [5], [5], [6], [5], [6], [6], [5], [5], [4, 4], [5], [5], [5], [6], [5]]
[[6], [5], [6], [6], [5], [5], [6], [6], [6], [5], [5], [], [5], [5], [5], [5], [6], [3, 3], [6], [5], [6], [5], [6], [4, 4], [6], [4, 4], [4, 4], [3, 3], [6], [5]]
[[6], [5], [5], [6], [5], [5], [5], [3, 3], [6], [4, 4], [6], [6], [4, 4], [5], [6], [5], [5], [], [], [3, 3], [6], [5], [5], [6], [6], [6], [4, 4], [5], [6], [6], [5]]
[[5], [6], [5], [5], [3, 3], [5], [6], [5], [6], [4, 4], [3, 3], [6], [], [], [6], [6], [], [5], [5], [6], [6], [5], [5], [5], [4, 4], [6], [5], [6], [6], [5], [4, 4], [6]]
[[5], [6], [5], [5], [5], [5], [6], [6], [5], [5], [4, 4], [5], [3, 3], [4, 4], [4, 4], [], [], [], [6], [3, 3], [6], [5], [5], [6], [6], [5], [6], [], [6], [6], [6], [5], [6]]
[[5], [5], [4], [6], [5], [5], [6], [6], [4], [5], [5], [], [4], [6], [6], [6], [5], [5], [6], [5], [4], [4], [5], [6], [6], [5], [6], [6], [3, 3], [6], [5], [4], [], [3, 3]]
-EndAllocation

Instance: [[1], [167], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,34. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5]]
[[6, 6, 6], [6, 6, 6], [5, 5, 5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 5, 6, 6, 6, 6]]
[[6], [5, 5, 5, 5, 6], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 5, 5, 5, 5], [3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[6, 6], [6, 6, 6], [6, 6, 6], [6], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6]]
[[], [6, 6, 6], [], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6], [5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 5]]
[[6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [5, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [5, 6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 6], [6, 6], [5, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6]]
[[], [5, 5], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [5, 5], [6], [6, 6], [], [3, 3, 3, 3]]
[[], [], [5, 5], [3, 3, 3, 3], [6, 6], [3, 3, 3], [], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [3, 3, 3, 3], [], [6], [6, 6], [5, 5], [6, 6], [], [3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], []]
[[6], [3, 6], [3, 6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [5, 5]]
[[6], [6], [6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 3, 3], [6], [5, 5], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [5, 5], [6], [6], [3, 6], [6], [3, 3], [5, 5], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6]]
[[5], [6], [5], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 5], [6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 5], [6], [3, 3, 3], [6], [5], [6], [6], [6], [6], [6], [3, 5], [6], [6], [3, 5], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [5], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 5], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3], [5], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3], [5], [3, 3], [6], [3, 5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [5], [6], [3, 5], [6]]
[[6], [6], [6], [6], [3, 3], [5], [5], [6], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [3], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [3, 3]]
[[6], [5], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [5], [6], [6], [3, 5], [5], [3, 3], [3, 3]]
[[], [6], [3, 3], [6], [6], [], [3, 3], [6], [5], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 5], [6], [6], [3, 3], [6], [6], [6], [6], [5], [5], [6], [6], [6], [6], []]
[[6], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [5], [6], [6], [3, 3], [5], [6], [6], [6], [6], [3, 3], [5], [6], [], [6], [], [6], [], [3, 3], [6], [3, 5], [6]]
[[], [6], [6], [6], [5], [6], [6], [6], [], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [5], [], [6], [6], [6], [5], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6], [3, 5]]
[[6], [6], [6], [], [6], [6], [6], [5], [3, 3], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [], [5], [6], [6], [], [6], [3, 3], [5], [6], [3, 3], [3, 3], [6], [], [6], [5], []]
-EndAllocation

Instance: [[1], [166], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,34. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6], [], [3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [3, 3, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [], [6, 6], [], [3, 3, 3, 3]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [5, 5], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], []]
[[6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [5, 5], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [5, 5], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6]]
[[5], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [3, 3, 3], [6], [5], [6], [6], [6], [6], [6], [5], [3, 3, 3], [6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [], [6], [3, 3, 3]]
[[6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [3, 5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6]]
[[6], [6], [6], [6], [3, 3], [5], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [3, 3]]
[[6], [5], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [3, 3], [5], [3, 3], [3, 3]]
[[], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [5], [5], [6], [6], [6], [6], []]
[[6], [6], [6], [6], [3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [5], [6], [], [6], [], [6], [], [3, 3], [6], [3, 5], [6]]
[[], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [], [], [6], [6], [6], [5], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6], [3, 3]]
[[6], [6], [6], [], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [5], [6], [], [], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [], [6], [5], []]
-EndAllocation

Instance: [[1], [175], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,35. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 6], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [3, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4], [4, 6], [5, 5], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [4, 4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6], [6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4, 4], [3, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [3], [6, 6, 6, 6], [6], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6, 6], [], [5, 5, 5, 5], [3, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 4, 4]]
[[5, 5, 5, 5], [3, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4], [], [6, 6, 6], [6, 6, 6]]
[[3, 5, 5, 5], [5, 5, 5, 5], [5], [6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4], [5, 5]]
[[5, 5, 5], [5, 5, 5], [], [6, 6], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6, 6], [4], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [3, 5, 5]]
[[5, 5, 5], [3], [4, 4, 4, 4], [5, 5, 5], [6], [6, 6], [5, 5, 5], [4, 5, 5], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6]]
[[3, 5, 5], [5, 5, 6], [5, 5, 6], [5, 6], [4], [4, 4, 4, 4], [5, 5, 5], [], [5, 5, 5], [6, 6], [6, 6], [6, 6], [5], [6, 6], [4, 4, 4, 4]]
[[6, 6], [3, 5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6], [5, 5], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5]]
[[3, 5, 5], [4, 5, 5], [5, 5], [5, 5], [5, 5], [6], [], [6, 6], [5, 5], [6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 6]]
[[3, 5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6], [6, 6], [5, 5], [6, 6], [], [6, 6], [], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5]]
[[3, 4, 4], [5, 5], [6], [6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [5, 5], [4, 4, 4], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [], [], [6, 6], [4, 6]]
[[5, 5], [5, 5], [5, 5], [3], [], [4, 4, 4], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5], [], [5, 5], [5, 5], [5, 5], [4, 4], [4, 6], [4, 4, 4]]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [4, 6], [4, 4, 4], [6], [6, 6], [], [], [3], [], [4], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [4, 6]]
[[3, 6], [5, 5], [5, 5], [6], [4, 4], [6], [5, 5], [6], [4, 6], [6], [], [5, 5], [5, 5], [4, 6], [5, 5], [6], [6], [4, 4], [6], [5, 5], [4, 4], [4, 6]]
[[3, 5], [5, 5], [5, 5], [5, 5], [6], [5, 5], [4, 6], [], [4, 5], [6], [6], [4, 4], [4, 4], [6], [4, 4], [5, 5], [5, 5], [4, 6], [6], [6], [6], [6], [6]]
[[3, 5], [5, 5], [5, 5], [5, 5], [], [4, 6], [4, 4], [6], [6], [6], [6], [], [6], [4, 4], [5], [4, 6], [5, 5], [5, 5], [6], [5, 5], [6], [4, 6], [6], [4, 4]]
[[3, 5], [6], [4, 5], [6], [4, 5], [4, 5], [6], [6], [6], [6], [4, 5], [5], [4, 5], [6], [5], [5], [6], [5], [6], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5]]
[[5], [4, 5], [4, 5], [6], [4, 5], [6], [4, 5], [6], [5], [6], [6], [5], [5], [6], [5], [6], [6], [5], [6], [3, 5], [4, 5], [6], [4, 5], [4, 5], [6], [4, 4]]
[[4, 5], [5], [4, 5], [6], [6], [5], [4, 5], [5], [6], [3, 5], [6], [4, 5], [5], [6], [6], [5], [6], [5], [6], [6], [4, 4], [5], [4, 4], [6], [6], [5], [4, 5]]
[[3, 6], [4, 4], [4, 5], [4, 5], [6], [5], [5], [5], [6], [6], [6], [6], [5], [5], [6], [5], [5], [6], [5], [4, 4], [6], [6], [4, 5], [6], [5], [5], [4, 4], [5]]
[[3, 6], [5], [5], [6], [5], [5], [6], [4, 5], [6], [6], [6], [5], [5], [5], [4, 5], [], [4, 5], [6], [6], [6], [6], [5], [4, 4], [4, 4], [5], [5], [6], [5], [4, 4]]
[[5], [4, 4], [4], [5], [5], [6], [6], [6], [6], [6], [5], [5], [4, 4], [6], [4, 4], [5], [6], [5], [5], [5], [5], [5], [6], [5], [6], [6], [5], [6], [3, 5], [4, 4]]
[[6], [5], [6], [5], [6], [5], [5], [5], [6], [4, 4], [6], [4], [6], [6], [], [6], [5], [5], [6], [5], [5], [6], [6], [5], [5], [5], [5], [4, 4], [4, 4], [3, 5], [4, 4]]
[[3, 4], [5], [4, 4], [5], [5], [], [4, 4], [6], [6], [6], [5], [5], [6], [], [6], [6], [5], [5], [5], [6], [4, 4], [6], [6], [5], [5], [5], [5], [5], [6], [5], [4, 4], [6]]
[[3, 5], [6], [6], [4], [5], [5], [5], [5], [5], [5], [6], [5], [], [5], [6], [], [], [6], [5], [6], [4, 4], [5], [4, 4], [6], [6], [5], [6], [6], [6], [5], [5], [4, 4], [4, 4]]
[[6], [5], [5], [5], [5], [5], [6], [], [5], [], [3], [4], [4, 4], [6], [6], [6], [5], [6], [6], [5], [4, 4], [4, 4], [5], [6], [], [6], [5], [6], [6], [5], [5], [5], [4, 4], [5]]
[[5], [5], [5], [5], [5], [5], [6], [4], [5], [5], [6], [4], [6], [6], [5], [6], [3], [6], [6], [4], [5], [6], [4], [4], [4], [6], [5], [6], [5], [4], [4], [5], [5], [4], [6]]
-EndAllocation

Instance: [[1], [174], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,35. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6], [4, 4, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6]]
[[], [], [5, 5, 6, 6], [6, 6], [3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 5], [], [6, 6, 6], [5, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [4, 5, 5], [3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 4], [6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [5, 6, 6], [6, 6], [4, 6, 6]]
[[], [4, 4], [6, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 4, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6], [5, 5], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6]]
[[], [6], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [3, 3, 6], [], [6, 6]]
[[], [4, 4], [], [6, 6], [], [6, 6], [3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 4], [6, 6], [6, 6]]
[[], [], [5, 5], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [5, 5], [4, 6], [3, 6], [6], [3, 6], [4, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [4, 4], [6], [6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5, 5], [6], [3, 3, 3], [4, 4], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [5], [6], [3, 4], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5], [6], [6], [6], [4], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [6], [3, 5], [3, 6], [6], [6], [6], [3, 6], [6], [6], [4, 4], [6], [3, 3, 3]]
[[6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [5], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 5], [6], [3, 3, 3], [6], [], [6], [3, 3, 3]]
[[6], [5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [], [5], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [6], [5], [6], [4, 4], [3, 3], [6]]
[[], [6], [6], [], [], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [3, 3], [5], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [], [], [3, 3], [3, 3], [6], [6], [6], [5], [], [3, 3], [6], [], [6], [3, 3], [5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[5], [6], [6], [], [6], [3, 3], [], [], [6], [4, 4], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [4], [6], [6], [5], [4], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [], [], [6], [], [6], [6], [], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3]]
-EndAllocation

Instance: [[1], [173], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,35. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6], [4, 5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3]]
[[], [], [5, 5, 6, 6], [6, 6], [3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 5], [], [6, 6, 6], [5, 6, 6], [4, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 4], [6], [6, 6, 6], [6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6], [6], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [5, 6, 6], [6, 6], [6, 6]]
[[], [4], [6, 6], [5, 5, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6]]
[[], [], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3], [], [6, 6]]
[[], [4, 6], [], [6, 6], [], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6], [], [4, 6], [6, 6], [6, 6]]
[[], [], [5, 5], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [6, 6]]
[[6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [4, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5, 5], [6], [3, 3, 3], [4, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5], [6], [6], [5], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [5], [6], [6], [6], [3, 6], [6], [6], [3, 5], [3, 6], [6], [6], [6], [3, 6], [6], [6], [4], [6], [3, 3, 3]]
[[6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [4], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 5], [6], [3, 3, 3], [6], [], [6], [3, 3, 3]]
[[6], [3, 5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [4], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [4], [3], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [6], [5], [6], [3, 4], [3, 3], [6]]
[[], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3], [6], [6], [6], [6], [4], [3, 3], [3, 3], [5], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [], [], [3, 3], [3, 3], [6], [6], [6], [5], [6], [3, 3], [6], [], [6], [3, 3], [5], [6], [6], [6], [4], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [6], [6]]
[[5], [6], [6], [], [6], [3, 3], [], [], [6], [4], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [4], [6], [6], [5], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [], [], [6], [], [6], [3], [], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3]]
-EndAllocation

Instance: [[1], [172], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,35. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 5, 5, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3]]
[[], [], [5, 5, 6, 6], [6], [3, 3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [5, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 6, 6], [6, 6], [6, 6]]
[[], [3], [6, 6], [5, 5, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6]]
[[], [], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [6, 6]]
[[], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [], [6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [], [5, 5], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5, 5], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 5], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [6], [3, 5], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [5], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 5], [6], [3, 3, 3], [6], [], [6], [3, 3, 3]]
[[6], [5], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [], [5], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [6], [5], [6], [3, 3], [3, 3], [6]]
[[], [6], [6], [], [], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [5], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [], [], [3, 3], [3, 3], [6], [6], [6], [5], [], [3, 3], [6], [], [6], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[5], [6], [], [], [6], [3, 3], [], [], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [6], [5], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [], [], [6], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3]]
-EndAllocation

Instance: [[1], [171], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,35. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3], [6, 6]]
[[], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [], [6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [], [6], [3, 3, 3]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [3]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[], [6], [6], [6], [], [6], [3], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [], [], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [], [], [6], [3, 3], [], [], [3], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [6], [], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [], [3], [6], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [180], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,36. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 6]]
[[], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 5, 5], [4, 4, 4, 4, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6], [4, 6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 5]]
[[], [5, 5, 6, 6, 6], [5, 5, 5], [3, 3, 3, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [5, 5, 5, 6], [5, 5, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4]]
[[], [3, 3, 3, 6, 6], [4, 4, 4, 4, 4], [5, 5, 6, 6], [5, 5, 5, 6], [], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 6, 6, 6], [3, 3, 3, 6, 6], [5, 5], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [3, 3, 3, 6], [4, 4, 4, 4, 4], [], [6, 6, 6], [5, 5, 6], [6, 6, 6], [4, 5, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [5, 5, 5], [5, 5, 6], [4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 6], [4, 4, 4, 4], [3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6], [4, 4, 4, 4], [5, 5, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [5, 5, 5]]
[[], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 6], [6], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], [4, 5, 5], [3, 3, 3, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [4, 4, 4, 4], [6], [5, 5, 5], [4, 4, 4, 4], [], [6, 6], [3, 3, 3, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4]]
[[], [4, 4, 4], [3, 3, 3], [6, 6], [4, 5, 5], [5, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 6], [6, 6], [6], [6, 6], [6, 6], [4, 4, 4], [5, 5]]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [4, 4], [3, 3, 3], [6, 6], [], [5, 5], [5, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [4, 4, 5], [6, 6], [6, 6], [], [6], [5, 5], [4, 4, 4], [3, 3, 3], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 6], [5, 6]]
[[], [], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [], [5, 6], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [5, 5], [], [3, 3, 3]]
[[], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3], [4, 4, 4], [6, 6], [], [4, 4, 4], [6, 6], [5, 5], [5], [6], [5, 5], [6, 6], [], [6, 6], []]
[[], [], [], [4, 4, 4], [3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [4, 4], [5], [6, 6], [6, 6], [6, 6], [6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6]]
[[6], [6], [6], [4, 4], [6], [4, 5], [4, 6], [6], [4, 6], [4, 6], [6], [4, 4], [5, 5], [5, 5], [6], [6], [6], [4, 6], [6], [4, 6], [6], [4, 6], [3, 3, 3]]
[[6], [4, 4], [6], [6], [4, 4], [4, 6], [4, 6], [6], [5, 5], [6], [6], [4, 6], [6], [6], [6], [4, 5], [6], [4, 6], [6], [6], [5, 5], [4, 4], [6], [3, 3, 3]]
[[6], [6], [6], [6], [3, 3, 3], [4, 4], [6], [4, 5], [5, 5], [6], [4, 4], [4, 6], [6], [6], [6], [5, 5], [4, 6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [6]]
[[6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [6], [4, 5], [6], [4, 5], [6], [4, 5], [6], [4, 5], [4, 5], [6], [4, 4], [6]]
[[6], [4, 5], [5], [4, 4], [6], [6], [6], [5], [3, 3, 3], [4, 5], [6], [4, 4], [4, 4], [6], [6], [4, 4], [6], [6], [6], [4, 5], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [5], [6], [6], [6], [6], [6], [4, 4], [6], [4, 5], [5], [4, 4], [6], [6], [6], [6], [4, 4], [6], [4, 4], [3, 3, 3], [6], [6], [4, 4], [6], [6], [5], [5]]
[[6], [4, 4], [6], [6], [6], [5], [6], [4, 4], [6], [6], [5], [6], [6], [4, 5], [6], [6], [4, 4], [6], [4, 5], [6], [4], [3, 3, 3], [6], [6], [4, 4], [6], [], [5], [6]]
[[5], [6], [6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [6], [6], [4, 4], [6], [6], [5], [3, 3], [6], [4], [], [6], [6], [5], [4, 4], [5]]
[[6], [4, 4], [6], [5], [6], [6], [6], [3], [6], [4, 4], [], [5], [3, 3], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [4], [4, 4], [6], [4, 4], [6], [6], [5], [5], [6]]
[[6], [4, 4], [4], [6], [6], [6], [3], [5], [6], [3, 3], [4, 4], [6], [6], [6], [4, 4], [6], [5], [6], [6], [5], [], [4, 4], [4, 4], [], [6], [6], [5], [6], [6], [6], [6], [5]]
[[6], [3, 5], [3, 3], [6], [6], [4, 4], [4, 4], [6], [], [6], [6], [4, 4], [6], [], [5], [6], [5], [4], [5], [6], [5], [4, 4], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [4, 4]]
[[5], [], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [4, 4], [], [6], [6], [6], [6], [4, 4], [5], [3, 3], [6], [4, 4], [], [6], [5], [4, 4], [3, 4], [6], [5], [4, 4], [5], [], [6]]
[[6], [3, 4], [], [6], [5], [6], [6], [5], [4, 4], [6], [4, 4], [6], [], [], [6], [6], [4, 4], [6], [4, 4], [6], [6], [5], [3, 3], [], [6], [6], [6], [6], [5], [6], [6], [5], [], [4, 4], []]
[[4], [6], [4], [5], [5], [6], [6], [4], [], [6], [6], [5], [6], [4], [6], [5], [6], [6], [6], [4], [4], [6], [4], [4], [4], [5], [6], [6], [6], [4], [6], [6], [3], [4], [6], [3, 3]]
-EndAllocation

Instance: [[1], [179], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,36. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6]]
[[], [6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6], [6, 6, 6], [5, 5, 6, 6], [3, 6, 6, 6], [4, 6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [3, 6, 6, 6]]
[[], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 4], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6]]
[[], [6, 6, 6], [4, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3], [6], [6, 6, 6]]
[[6], [6, 6], [5, 5, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [3, 5, 5], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [5, 5], [6, 6], [], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [], [3, 3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6], [6], [6, 6], [], [6, 6], [3, 5, 5], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6], [6, 6]]
[[], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [5, 5], [], [3, 3, 3, 3]]
[[], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [3, 3, 3, 3], [], [6, 6], [], [4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6]]
[[], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [5, 5], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [4, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [5, 5], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [4, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [5, 5], [6], [6], [3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [5, 5], [6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [4, 6], [6], [6]]
[[6], [6], [6], [3, 4], [5], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [5], [3, 4], [6], [3, 6], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [5], [6], [6], [6], [6], [6], [4, 5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [4], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [], [5], [6]]
[[5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [5], [6], [6]]
[[6], [4], [3, 3], [3, 5], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [4], [6], [], [6], [6], [5], [6], [6], [6], [6], [3, 5]]
[[6], [3, 5], [3, 3], [6], [6], [3, 3], [6], [6], [3], [6], [6], [], [6], [], [], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 4]]
[[6], [], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [5], [6], [3, 3], [6], [3, 5], [4], [6], [6], [6]]
[[6], [3, 3], [], [3], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [4], []]
[[6], [6], [4], [5], [5], [6], [6], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [], [3], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [178], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,36. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6]]
[[], [6, 6, 6, 6, 6], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6], [5, 5, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [3, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6]]
[[], [6, 6, 6], [5, 5], [6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [5, 6, 6], [6, 6], [3, 6, 6], [5, 6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 5, 5], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 5, 5], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], []]
[[], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [5, 5], [6], [6], [3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [5, 5], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 5], [6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [3, 3, 3], [6], [3, 6]]
[[6], [6], [5], [3, 3, 3], [6], [3, 6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [], [5], [6]]
[[5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [5], [6], [6]]
[[6], [6], [3, 3], [3, 5], [6], [6], [6], [3, 3], [6], [6], [3], [5], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6], [], [6], [6], [5], [6], [3], [6], [6], [3, 5]]
[[6], [3, 5], [3, 3], [6], [6], [3, 3], [6], [6], [3], [6], [6], [], [6], [], [], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [], [3], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [5], [6], [3, 3], [6], [3, 5], [6], [6], [6], [6]]
[[6], [3, 3], [], [3, 3], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [5], [6], [6], [3, 3], [], [6], []]
[[6], [6], [6], [5], [5], [6], [6], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [6], [], [6], [6], [6], [], [3, 3], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [177], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,36. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [3, 6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [], [6, 6, 6], [], [6, 6, 6], [3, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [3, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [], [3, 3, 3, 3], [], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3], [6, 6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [3], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [3], [6], [6], [], [6], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [], [3], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6]]
[[6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [3], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], []]
[[6], [6], [6], [6], [6], [6], [3], [6], [3, 3], [], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [], [6], [], [6], [6], [6], [], [3, 3], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [176], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,36. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [4, 5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [5, 5, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [4, 6, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [5, 5, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [], [3, 3, 3, 3, 6, 6], [6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [5, 5, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [4, 5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [4, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [], [6, 6]]
[[6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [4, 5, 5], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [5, 5], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [5], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 5]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [5, 5]]
[[], [3, 3, 4], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [], []]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [4, 6], [3, 3, 3, 3], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [3, 6], [6], [3, 6]]
[[6], [6], [3, 6], [6], [6], [6], [4, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [3, 6], [6], [3, 6]]
[[6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [3, 6], [6], [6], [5, 5], [6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4, 6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [5, 5], [6], [3, 6], [6]]
[[5], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 4], [3, 6], [3, 6], [6]]
[[6], [3, 3, 3], [3, 6], [5], [6], [3, 6], [6], [3, 6], [6], [5], [6], [4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [5], [3, 3], [6], [6], [6], [5], [4], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [], [6], [6], [4], [5], [6], [6], [5], [6], [6], [6], [6], [6]]
[[6], [4], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 5], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 5]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [5], [6], [6], [3], [4], [6], [6], [3, 5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [6], [4], [], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [5], [6], [3, 3], [3, 3], [5], [3, 3], [6], [6], [6], [6]]
[[6], [6], [5], [4], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [], [6], [3, 3], [3, 3]]
[[6], [6], [], [3, 5], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [3, 3], [6], [], [4], [6], [3], [6], [6], [6], [6], [3, 3], [6], [], [6]]
[[], [6], [5], [4], [3, 3], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [], [], [6], [3, 3], [6], [6], [6], [6], [5], [6], [3, 3], [6]]
[[], [6], [3, 3], [6], [6], [4], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [5], [6], [6], [6], [], [6], [3, 3], [], [6], [5], [3, 3], [6], [], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [185], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,37. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [4, 6], [5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 3, 4], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6, 6], [4]]
[[], [6, 6, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4], [3, 3, 3, 3, 3], [6, 6, 6], []]
[[], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [6, 6]]
[[], [6, 6], [3, 6, 6], [6], [5, 5, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6], [6, 6], [6, 6]]
[[], [3, 3, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 4], [3, 5, 5], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6], [6, 6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [3, 3, 3], [3, 3, 3, 3], [6], [5, 5], [6, 6], [6, 6], [], [6, 6], [6], [6, 6], [6, 6], [6, 6], [4, 6]]
[[], [], [6], [3, 3, 3, 3], [], [3, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6], [6, 6], [3, 3, 4], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [4], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [], [], [6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [5, 5], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [6], [6], [6], [6], [5, 5], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 4], [6], [6], [3, 3, 3], [6], [3, 5], [6], [3, 6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4], [3, 6], [6], [5], [6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [5]]
[[6], [6], [6], [3, 6], [3, 3, 3], [6], [4], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [5], [5], [6], [6], [4], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [4], [5], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [5], [6], [6], [6], [3, 5], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [4], [6], [3, 3], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [5], [6], [5], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [4], [6], [6], [6], [], [6], [3], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [], [6], [6], [4], [5], [6], [], [6], [3, 3], [6], []]
[[], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [4], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [], [5]]
[[6], [], [3, 4], [], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [], [5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6]]
[[6], [6], [6], [6], [4], [6], [3, 3], [3, 3], [6], [], [], [6], [6], [], [5], [3, 3], [5], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3], [], [6], [6], [6], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [184], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,37. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,37:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5]]
[[4, 4, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 6], [4, 4, 4, 4, 4]]
[[5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [], [6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5], []]
[[5, 5, 5, 5], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6]]
[[5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5], [], [], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [5, 5, 5, 5]]
[[4, 4, 6, 6], [], [5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [], [4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[5, 5], [5, 5, 5], [], [4, 4, 4, 4], [6, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [6, 6, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[5, 5], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6], [6, 6], [], [5, 5, 5], [6], [4, 4, 6], [4, 4, 6], [4, 4, 4, 4]]
[[6, 6], [5, 5, 5], [5, 5], [], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [4, 4, 6], [5, 5, 5]]
[[5, 5], [4, 4, 4], [5, 5], [5, 5], [6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6]]
[[4, 5, 5], [4, 5, 5], [4, 5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [], [6], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[5, 5], [4, 4, 4], [4, 4, 4], [6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [], [6], [6, 6], [6]]
[[6], [5, 5], [6, 6], [5, 5], [], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5], [5, 5], [4, 4, 4], [], [5, 5], [], [6, 6], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [5, 5], [6, 6], [], [], [], [6, 6], [5, 5], [5, 5], [4, 4, 4], [6], [4, 4, 4], [6, 6]]
[[5, 5], [5, 5], [5, 5], [6], [4, 4, 4], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [], [6, 6], [6, 6], [5, 5], [6, 6], [], [], [4, 4, 4], [], [5, 5], [4, 4, 4], [6, 6]]
[[5, 5], [4, 6], [5, 5], [5, 5], [4, 6], [6], [5, 5], [6], [5, 5], [], [], [4, 6], [4, 4], [4, 6], [4, 4], [5, 5], [5, 5], [4, 4], [6], [4, 6], [6], [4, 6], [6]]
[[4, 4], [5, 5], [5, 5], [5, 5], [4, 6], [6], [6], [5, 5], [5, 5], [6], [], [6], [6], [6], [4, 4], [6], [5, 5], [4, 4], [6], [4, 4], [4, 6], [5, 5], [6], [4, 4]]
[[4, 5], [5, 5], [5, 5], [5, 5], [5], [6], [6], [5, 5], [4, 4], [5, 5], [5, 5], [4, 4], [6], [], [], [4, 6], [4, 4], [6], [4, 4], [6], [4, 6], [6], [6], [6], [4, 6]]
[[5, 5], [5, 5], [5, 5], [4, 6], [4, 4], [5, 5], [6], [], [6], [6], [], [4, 6], [4, 4], [4, 4], [6], [5, 5], [5, 5], [], [6], [6], [4, 4], [6], [6], [5, 5], [6], [4, 4]]
[[4, 5], [6], [4, 5], [4, 5], [4, 5], [4, 5], [6], [6], [6], [5], [6], [5], [5], [6], [4, 5], [5], [6], [4, 4], [5], [5], [4, 4], [6], [6], [6], [4, 5], [4, 5], [6]]
[[6], [6], [4, 4], [4, 5], [4, 5], [6], [6], [4, 5], [4, 5], [6], [4, 5], [6], [4, 5], [6], [5], [5], [6], [5], [5], [5], [6], [4, 4], [5], [5], [5], [6], [4, 4], [6]]
[[4, 5], [6], [5], [5], [4, 5], [6], [5], [4, 4], [4, 4], [5], [6], [5], [6], [4, 5], [6], [6], [5], [6], [5], [5], [5], [6], [4, 5], [4, 4], [6], [5], [6], [6], [4, 4]]
[[4, 5], [6], [5], [6], [5], [6], [5], [6], [5], [4, 4], [6], [5], [4, 4], [5], [4, 5], [6], [6], [5], [5], [6], [5], [6], [6], [4, 4], [6], [4, 4], [4, 4], [5], [5], [5]]
[[6], [5], [6], [5], [5], [6], [5], [5], [6], [4, 4], [4, 4], [6], [6], [6], [5], [5], [5], [5], [5], [4, 4], [6], [6], [5], [6], [5], [5], [4, 4], [6], [4, 4], [5], [4, 4]]
[[4, 4], [5], [5], [5], [6], [5], [6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [5], [], [5], [4, 4], [4, 4], [5], [5], [4, 4], [6], [6], [5], [5], [5], [5], [6], [5], [5], [6]]
[[4, 4], [5], [5], [5], [6], [5], [], [5], [5], [6], [4, 4], [6], [6], [6], [4, 4], [6], [], [5], [6], [5], [5], [5], [5], [6], [6], [4, 4], [6], [5], [4, 4], [5], [6], [4, 4], [5]]
[[6], [5], [4, 4], [5], [5], [6], [5], [6], [6], [], [6], [5], [], [5], [5], [6], [5], [4, 4], [4, 4], [6], [5], [5], [6], [4, 4], [], [4, 4], [6], [6], [4, 4], [5], [5], [5], [6], [5]]
[[5], [6], [5], [4, 4], [5], [5], [6], [5], [], [4, 4], [6], [6], [5], [5], [6], [6], [5], [6], [], [], [4, 4], [6], [4, 4], [4, 4], [4, 4], [6], [5], [5], [6], [6], [], [5], [5], [5], [5]]
[[5], [6], [6], [6], [5], [5], [6], [5], [6], [4, 4], [6], [4, 4], [5], [4, 4], [5], [], [], [], [], [], [6], [5], [6], [6], [4, 4], [5], [4, 4], [5], [6], [6], [5], [5], [5], [5], [4, 4], [5]]
[[5], [6], [5], [5], [5], [4], [4], [5], [4], [4], [5], [6], [6], [6], [4], [6], [5], [6], [6], [4], [5], [6], [5], [4], [4], [5], [4], [4], [5], [6], [5], [6], [4], [5], [5], [4], [6]]
-EndAllocation

Instance: [[1], [183], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,37. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,37:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 4, 6, 6, 6, 6, 6, 6], [3, 4, 4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 5, 5, 6], [3, 3, 3, 3, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5], [3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [4, 4], [3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[], [6, 6, 6, 6], [4, 4, 4], [4, 4, 6, 6, 6], [3, 3, 3, 6, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6], [3, 4, 4, 6, 6], [6, 6, 6, 6], [4, 4, 4, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6]]
[[], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [4, 4, 6, 6], [3, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 5, 5]]
[[], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4], [3, 3, 3, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 5, 5], [6, 6, 6], [4, 4, 4], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [3, 3, 3], [6, 6, 6]]
[[], [], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6], [4, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [4, 4, 4, 4]]
[[], [3, 3, 3, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 4, 4], [6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6]]
[[], [6, 6], [5, 5, 6], [3, 3, 3, 6], [6, 6], [3, 6, 6], [4, 4, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3, 3], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 4, 4], [6, 6], [3, 3, 3]]
[[], [5, 5], [6, 6], [6, 6], [6, 6], [], [6], [3, 3, 3], [3, 3, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6], [4, 4, 4], [3, 3, 3, 3], [6, 6], [3, 3, 3], [5, 5], [4, 4], [6, 6], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6], [3, 4, 4], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 4], [3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [5, 5], [], [3, 4, 4]]
[[], [], [6, 6], [], [6, 6], [5, 5], [6, 6], [], [6, 6], [3, 3, 3, 3], [4, 4], [6], [6, 6], [4, 4, 4], [6, 6], [3, 3], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[6], [3, 6], [3, 3, 3], [4, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6], [4, 6], [4, 6], [6], [3, 6], [6], [5, 5], [4, 6], [6]]
[[6], [4, 4], [6], [6], [6], [6], [4, 6], [5, 5], [6], [6], [6], [3, 3, 3], [3, 6], [6], [4, 6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [4, 4], [6], [6], [3, 6], [5, 5], [6], [6], [6], [6], [4, 4], [6], [3, 6], [6], [3, 6], [4, 6], [3, 6]]
[[6], [6], [5, 5], [3, 3, 3], [6], [4, 6], [6], [6], [3, 3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 6], [3, 3, 3], [6], [6], [6], [4, 6], [6]]
[[6], [6], [4, 5], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [5], [4, 4], [4, 4], [6], [6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 4], [4, 4], [6], [6], [5], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [5], [4, 4], [6], [4, 4], [6], [4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4, 4], [3, 3, 3], [6], [], [6], [6], [6], [6], [3, 3, 3], [4, 4], [5], [6], [6], [4], [6], [6], [5], [6], [6], [6]]
[[5], [6], [4], [6], [3, 3], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [4, 4], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [4], [3], [3, 5], [4, 4], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [4, 4], [3, 3], [6]]
[[6], [6], [5], [], [4, 4], [6], [], [3], [3, 3], [6], [6], [6], [6], [3, 3], [5], [4], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3]]
[[6], [4], [6], [6], [6], [6], [3], [4, 4], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [3, 3], [6], [], [6], [6], [6], [], [4, 4], [3, 3], [], [6], [6], [6], [5]]
[[6], [6], [3, 3], [4, 4], [6], [4], [6], [3], [6], [6], [3, 3], [3, 3], [], [6], [6], [6], [6], [], [6], [], [], [6], [6], [6], [6], [6], [4, 4], [5], [3, 3], [6], [6], [6], [6], [5], [6]]
[[6], [6], [], [6], [6], [6], [6], [], [4, 4], [5], [3, 3], [], [6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [4, 4], [5], [6], [6], [6], [4], [], [6], [6], [], [6], [3, 3]]
[[6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [3, 3], [4], [6], [4], [], [4], [6], [6], [3], [6], [4], [6], [6], [6], [5], [3, 3], [], [6], [], [6], [4], [5], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [182], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,37. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6], [3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [4, 5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3]]
[[], [4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [3, 3, 3, 3, 6], [5, 5, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [4, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6], [3, 3, 3, 3, 4]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6]]
[[], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [4], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6], [], [], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [3, 3, 3, 3], [4], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [4], [], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 3, 3], [4, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [5, 5], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [5, 5]]
[[6], [6], [4, 5], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [5], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 3, 3]]
[[6], [6], [6], [3, 6], [3, 4], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [5], [3, 6], [6], [3, 3, 3], [6], [6], [5], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [4], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 5], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [3, 3, 3], [6], [6], [4, 5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3, 3]]
[[6], [6], [4], [6], [6], [6], [6], [5], [6], [3, 3, 3], [], [6], [6], [3, 3, 3], [3, 6], [6], [5], [3, 3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [5], [6], [6], [4], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 4], [6], [3, 3], [3], [6], [], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [6], [6], [], [6], [3, 4], [3, 3], [6], [], [], [6], [6], [5], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [], [6], [6], [3, 3], [3, 3], [3, 3], [], [6], [6], [5], [6], [6], [6], [6], [4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [], [6], [6], [6]]
[[6], [3, 5], [6], [], [6], [3, 3], [], [6], [6], [], [6], [5], [6], [6], [6], [3, 4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [4], [], [6], [3, 3], [], [6], [6], [], [3, 3], [3, 3], [6], [3, 3], [5], [], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], []]
[[6], [], [6], [], [], [6], [5], [4], [6], [6], [6], [5], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [], [6], [6], [6]]
-EndAllocation

Instance: [[1], [181], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,37. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,37:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [5, 5, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [3, 6, 6], [], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [3, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6], [], [3, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [3, 6], [], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [3, 6], [], [], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [5, 5], [3, 6], [6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [5, 5]]
[[6], [6], [5], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [5], [3, 3, 3]]
[[6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [3, 6], [5], [6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 5], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [3, 3, 3], [6], [6], [3, 5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [], [6], [6], [3, 3, 3], [3, 6], [6], [5], [3, 3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [5], [6], [6], [6], [6], [6]]
[[6], [6], [3], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [], [], [6], [6], [5], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [], [6], [6], [3, 3], [3, 3], [3, 3], [], [6], [3], [5], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [], [6], [6], [6]]
[[6], [3, 5], [6], [], [6], [3, 3], [], [6], [6], [], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [3], [], [6], [3, 3], [], [6], [6], [], [3, 3], [3, 3], [6], [3, 3], [5], [], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], []]
[[6], [], [6], [], [], [6], [5], [6], [6], [6], [6], [5], [3, 3], [3], [6], [6], [6], [3, 3], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [], [6], [6], [6]]
-EndAllocation

Instance: [[1], [190], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,38. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [5, 5], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [6], [4, 4, 4, 4, 4, 4, 4], [4, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 6, 6], [6, 6, 6, 6]]
[[], [5, 5, 5, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[], [6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5]]
[[], [6, 6, 6], [5, 5, 5, 5], [], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4]]
[[], [6, 6, 6], [4, 4, 4, 4, 4], [], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 4], [], [6, 6, 6], [4, 4, 4, 6], [6, 6, 6], [4, 4, 4, 4], [6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 5, 6], [6, 6, 6]]
[[], [4, 6, 6], [6], [4, 4, 4, 4], [5, 6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6], [4, 6, 6], [6, 6], [4], [5, 6, 6], [6, 6], [4, 4, 4, 4], [5, 5, 5]]
[[], [4, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [4, 4, 6], [6, 6], [6, 6], [5, 5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6]]
[[], [4, 4, 4], [5, 5], [6], [6, 6], [4, 4, 4, 4], [], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [6], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6]]
[[], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [4, 4, 4], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4]]
[[], [6, 6], [6, 6], [5, 5], [5, 5], [6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [], [4, 4, 4], [4, 4, 4], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [6, 6], [5, 5], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [], [6, 6], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6], [4, 4, 4], [6, 6], [4, 4, 4]]
[[], [5, 5], [6, 6], [], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [5, 5]]
[[], [5, 5], [6, 6], [], [], [4, 4, 4], [], [4, 4, 4], [6, 6], [5, 5], [5, 5], [6, 6], [4, 4, 4], [], [6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [6, 6]]
[[6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [5, 5], [4, 4], [4, 6], [5, 5], [4, 4], [6], [4, 6], [4, 6], [4, 6], [5, 5], [4, 6], [5, 5], [4, 4], [6], [4, 4]]
[[6], [], [6], [5, 5], [4, 4], [5, 5], [5, 5], [6], [4, 6], [4, 4], [4, 6], [6], [5, 5], [4, 4], [4, 6], [4, 6], [6], [6], [4, 4], [6], [4, 6], [4, 4], [6], [6], [6]]
[[], [6], [6], [4, 4], [4, 6], [4, 4], [6], [6], [4, 4], [6], [6], [4, 6], [6], [5, 5], [6], [5, 5], [6], [4, 4], [5, 5], [5, 5], [6], [6], [4, 4], [6], [4, 4], [4, 6]]
[[6], [6], [6], [5, 5], [5, 5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [6], [5, 5], [6], [6], [4, 5], [6], [4, 4], [6], [5]]
[[5], [6], [4, 4], [6], [6], [4, 4], [4, 5], [4, 4], [4, 5], [6], [6], [5], [4, 4], [6], [5], [6], [6], [4, 5], [4, 5], [6], [4, 5], [6], [6], [6], [6], [6], [4, 4], [6]]
[[6], [4, 4], [6], [4, 4], [6], [4, 5], [4, 4], [5], [6], [6], [6], [4, 5], [6], [6], [6], [5], [4, 5], [5], [6], [4, 5], [5], [4, 4], [6], [6], [6], [4], [6], [4, 4], [6]]
[[6], [6], [6], [4, 4], [4, 4], [4, 4], [6], [6], [5], [5], [6], [4, 5], [5], [4, 4], [6], [4, 4], [6], [5], [5], [6], [6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [5], [5]]
[[5], [4, 4], [6], [5], [4, 4], [6], [6], [6], [6], [5], [6], [6], [5], [5], [], [6], [4, 4], [4, 5], [6], [], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [4, 4], [4, 5], [4, 5]]
[[6], [5], [5], [6], [6], [4, 4], [5], [], [5], [6], [6], [4, 4], [6], [4, 4], [6], [5], [4, 4], [5], [6], [6], [6], [6], [4], [6], [4, 4], [5], [5], [6], [6], [4, 4], [6], [4, 4]]
[[5], [5], [6], [6], [5], [6], [6], [6], [6], [6], [4, 4], [5], [4, 4], [5], [4, 4], [6], [6], [6], [4, 4], [5], [], [6], [6], [4, 4], [6], [4, 4], [4, 4], [6], [5], [5], [], [4], [6]]
[[6], [4, 4], [5], [6], [6], [6], [], [4, 4], [6], [5], [4, 4], [5], [5], [6], [6], [5], [6], [4, 4], [6], [6], [5], [5], [], [6], [5], [6], [4, 4], [4, 4], [4, 4], [6], [4], [6], [], [6]]
[[5], [4, 4], [4, 4], [4, 4], [6], [6], [5], [6], [6], [], [4, 4], [], [6], [], [5], [6], [6], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [5], [5], [4, 4], [5], [6], [4], [6], [], [5], [6]]
[[6], [4, 4], [], [5], [], [4], [6], [6], [4, 4], [4, 4], [6], [5], [6], [4, 4], [5], [], [6], [6], [6], [5], [6], [6], [4, 4], [5], [6], [6], [6], [4, 4], [], [5], [6], [5], [4, 4], [5], [6], []]
[[5], [5], [4, 4], [5], [6], [4, 4], [5], [6], [5], [4, 4], [4, 4], [6], [6], [], [5], [6], [6], [4, 4], [4, 4], [], [6], [5], [4], [6], [6], [], [], [6], [6], [], [], [6], [5], [4, 4], [6], [6], [6]]
[[5], [4], [6], [4], [6], [4], [4], [6], [6], [4], [5], [5], [6], [6], [5], [6], [6], [4], [6], [4], [5], [4], [6], [4], [4], [6], [5], [4], [4], [5], [6], [6], [6], [6], [4], [4], [4], [5]]
-EndAllocation

Instance: [[1], [189], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,38. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[], [4, 4, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 6], [4, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4], [4, 4, 4, 4, 4, 4, 5]]
[[], [4, 4, 4, 4, 5, 5], [6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 5], [4, 4, 4, 4], [4, 4, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 6, 6, 6], [4, 4, 4, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [], [5, 5, 5], [4, 5, 5, 5, 5], [4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 6, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 4, 4], [4, 6, 6], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6], [5, 5, 5], [4, 6, 6]]
[[], [4, 4, 4, 4], [6], [5, 6, 6], [4, 4, 4, 4], [], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [5, 5, 5], [6], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [5, 6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [6, 6], [5, 5, 5], [], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 5], [5, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 4, 4]]
[[], [4, 4, 5], [6, 6], [6, 6], [], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 6, 6], [5, 5, 5], [6, 6], [6], [], [5, 5, 5], [6, 6], [4, 6, 6]]
[[], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5], [6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [4, 5, 5]]
[[], [5, 5], [4, 4, 5], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [6], [5]]
[[], [6, 6], [5, 5], [4, 4, 5], [], [4, 4, 4], [4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [4, 4, 4], [5, 5], [4, 4, 4], [6]]
[[], [4], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [], [4, 4, 4], [], [5, 6], []]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [4], [], [], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [5], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [6], [6, 6]]
[[], [4, 4], [6], [6, 6], [], [5, 5], [6, 6], [], [4, 4, 4], [], [6, 6], [6, 6], [5, 5], [6, 6], [5], [6, 6], [4, 4, 4], [6, 6], [], [4, 4, 4], [4, 5], [4, 5], [4, 4, 4]]
[[6], [6], [4, 6], [6], [4, 6], [5, 5], [6], [6], [4, 4], [5, 5], [4, 4], [6], [4, 6], [4, 6], [4, 6], [4, 4], [6], [6], [4, 4], [4, 5], [6], [4, 4], [5, 5], [6]]
[[6], [4, 6], [6], [4, 4], [6], [6], [5, 5], [6], [4, 4], [4, 4], [4, 4], [4, 4], [5], [6], [6], [6], [4, 6], [4, 4], [5, 5], [6], [4, 6], [6], [4, 6], [6], [5, 5]]
[[6], [6], [6], [4, 4], [6], [4, 6], [6], [4, 4], [4, 6], [5], [6], [5], [6], [6], [5, 5], [4, 6], [5, 5], [6], [4, 5], [4, 4], [4, 4], [6], [6], [4, 4], [6], [4, 4]]
[[6], [6], [4, 5], [6], [4, 5], [6], [4, 4], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [4, 4], [5], [4, 4], [4, 4], [6]]
[[6], [4, 4], [6], [6], [4, 5], [6], [5], [6], [6], [6], [4, 4], [6], [4, 4], [4, 5], [6], [4, 4], [6], [6], [6], [4, 4], [5], [4, 5], [5], [6], [6], [4, 5], [4, 4], [6]]
[[6], [6], [4, 4], [5], [6], [4, 5], [5], [6], [6], [6], [6], [5], [4, 5], [4, 4], [6], [4, 4], [4, 4], [4, 4], [6], [5], [4, 4], [6], [6], [6], [5], [6], [6], [6], [4, 4]]
[[5], [6], [6], [5], [6], [6], [4, 4], [6], [6], [4, 5], [6], [6], [4, 4], [4], [5], [4, 4], [6], [6], [6], [4, 4], [], [6], [4, 4], [4, 4], [4, 5], [6], [6], [5], [4, 5], [6]]
[[5], [5], [6], [4, 4], [6], [5], [4, 5], [6], [4, 4], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [], [4, 5], [5], [6], [4], [4, 4], [6], [], [4, 5], [6]]
[[6], [5], [6], [6], [5], [4, 4], [6], [5], [6], [6], [6], [6], [5], [4, 4], [4, 4], [], [6], [6], [5], [5], [4, 4], [6], [4, 4], [4, 4], [6], [5], [4, 4], [], [6], [6], [4, 4], [6]]
[[6], [5], [4, 4], [6], [], [5], [4, 4], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [], [6], [4, 4], [6], [], [4, 4], [5], [6], [6], [4, 4], [4, 4], [4, 4], [6], [5], [5], [5], [6]]
[[6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [], [5], [6], [4, 4], [4, 4], [6], [6], [5], [6], [4, 4], [5], [5], [], [5], [6], [6], [], [4, 4], [6], [6], [6], [4, 4], [4, 4], [], [6], [6]]
[[6], [4, 4], [6], [6], [], [5], [4, 4], [6], [], [4, 4], [5], [6], [4, 4], [], [6], [5], [6], [6], [6], [6], [], [], [6], [5], [5], [4, 4], [5], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [5]]
[[6], [6], [6], [5], [5], [4, 4], [5], [6], [5], [4, 4], [4, 4], [4, 4], [5], [6], [4, 4], [6], [], [5], [6], [4, 4], [], [], [4, 4], [4, 4], [6], [6], [], [], [6], [6], [6], [], [5], [6], [6], [6]]
[[5], [5], [4, 4], [6], [], [6], [6], [], [6], [5], [6], [5], [], [6], [6], [4, 4], [4, 4], [6], [5], [6], [4, 4], [6], [6], [4, 4], [4, 4], [5], [4, 4], [], [5], [4, 4], [6], [6], [], [6], [], [6], []]
[[5], [6], [6], [4], [5], [4], [4], [6], [4], [4], [6], [6], [6], [6], [6], [6], [4], [4], [4], [6], [4], [6], [4], [4], [6], [4], [4], [6], [5], [4], [5], [5], [6], [5], [5], [4], [4], [6]]
-EndAllocation

Instance: [[1], [188], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,38. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6], [4, 4, 4, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 5], [6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5], [4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 6, 6, 6], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [], [5, 5], [4, 5, 5, 5, 5], [4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 6, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 6, 6], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [5, 5, 6], [4, 4, 6, 6]]
[[], [4, 4, 4, 4], [4], [6, 6, 6], [4, 4, 4, 4], [], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [5, 5, 5], [6], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [6, 6], [5, 5, 5], [4], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 4, 4]]
[[], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 6, 6], [5, 5, 5], [6, 6], [6], [], [5, 5, 5], [6, 6], [4, 6, 6]]
[[], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [6], [4, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [4, 5, 5]]
[[], [5, 5], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [4, 4], []]
[[], [6, 6], [5, 5], [4, 4, 4], [], [4, 4, 4], [4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [4, 4, 4], [5, 5], [4, 4, 4], [6]]
[[], [4, 4], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [], [4, 4, 4], [], [6], []]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [4, 4], [], [], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5], [6], [6, 6]]
[[], [], [6], [6, 6], [], [5, 5], [6, 6], [], [4, 4, 4], [], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [], [4, 4, 4], [4, 4, 4], [4, 4], [4, 4, 4]]
[[6], [6], [4, 4], [6], [4, 6], [5, 5], [6], [6], [4, 4], [5, 5], [4, 4], [6], [4, 6], [4, 6], [4, 6], [4, 4], [6], [6], [4, 4], [4, 6], [6], [4, 4], [5, 5], [6]]
[[6], [4, 6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [4, 4], [5, 5], [6], [6], [6], [4, 6], [4, 4], [5, 5], [6], [4, 6], [4, 4], [6], [6], [5, 5]]
[[6], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4, 6], [6], [6], [5, 5], [6], [6], [5, 5], [6], [5, 5], [6], [4, 4], [4, 4], [4, 4], [6], [6], [4, 4], [6], [4, 4]]
[[6], [6], [4, 5], [6], [6], [6], [4, 4], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [6], [4, 4], [5], [4, 4], [4, 4], [6]]
[[6], [4, 4], [6], [4, 4], [4, 5], [6], [5], [6], [6], [6], [4, 4], [6], [4, 4], [4, 5], [6], [4, 4], [6], [6], [6], [4, 4], [5], [4, 5], [6], [6], [6], [5], [4, 4], [6]]
[[6], [6], [4, 4], [5], [6], [4, 5], [5], [6], [6], [6], [6], [6], [4, 5], [4, 4], [6], [4, 4], [4, 4], [4, 4], [6], [5], [4, 4], [6], [4], [6], [5], [6], [6], [6], [4, 4]]
[[5], [6], [6], [5], [6], [6], [4, 4], [6], [6], [4, 4], [6], [6], [4, 4], [4], [5], [4, 4], [6], [6], [6], [4, 4], [], [6], [4, 4], [4, 4], [4, 5], [6], [6], [5], [4, 5], [6]]
[[5], [5], [6], [4, 4], [6], [5], [4, 5], [6], [4, 4], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [], [4, 5], [5], [6], [4], [4, 4], [6], [], [4, 4], [6]]
[[], [6], [6], [6], [5], [4, 4], [6], [5], [6], [6], [6], [6], [5], [4, 4], [4, 4], [], [6], [6], [5], [5], [4, 4], [6], [4, 4], [4, 4], [6], [5], [4, 4], [4], [6], [6], [4, 4], [6]]
[[6], [5], [4, 4], [4], [], [5], [4, 4], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [], [6], [4, 4], [6], [], [4, 4], [6], [6], [6], [4, 4], [4, 4], [4, 4], [6], [5], [5], [5], [6]]
[[6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [], [5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [5], [5], [], [5], [6], [6], [], [4, 4], [6], [6], [4], [4, 4], [4, 4], [], [6], [6]]
[[6], [4, 4], [6], [4], [], [5], [4, 4], [6], [], [4, 4], [5], [6], [4, 4], [], [6], [5], [6], [6], [6], [6], [], [], [6], [5], [6], [4, 4], [5], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [5]]
[[6], [6], [6], [5], [6], [4, 4], [5], [6], [5], [4, 4], [4, 4], [4, 4], [5], [6], [4, 4], [6], [], [5], [6], [4, 4], [], [], [4, 4], [4, 4], [6], [6], [4], [], [6], [6], [6], [], [5], [6], [], [6]]
[[5], [5], [4, 4], [6], [], [6], [6], [], [6], [5], [6], [5], [], [6], [6], [4, 4], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [4, 4], [4, 4], [5], [4], [], [5], [4, 4], [6], [6], [], [6], [], [6], []]
[[5], [6], [6], [4], [5], [4], [4], [6], [4], [4], [6], [6], [6], [6], [6], [6], [4], [4], [4], [6], [4], [6], [4], [4], [6], [4], [4], [6], [5], [4], [4], [5], [6], [5], [5], [4], [4], [6]]
-EndAllocation

Instance: [[1], [187], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,38. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [3, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 6], [], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6]]
[[6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 6]]
[[], [6, 6], [5, 5, 6], [6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [6, 6]]
[[], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], []]
[[], [6, 6], [3, 5, 5], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], []]
[[], [6, 6], [6, 6], [5, 5], [6, 6], [3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [], [], [], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [3, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [5], [3, 5], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 6], [6], [5], [6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [3, 6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[5], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [5], [3, 3, 3], [6]]
[[6], [5], [3, 6], [3, 3, 3], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [5], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3, 5], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [], [5], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [3, 3], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [], [6], [3, 3], [6], [6], [6], [3], [], [6], [5], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [5]]
[[6], [6], [6], [3, 3], [3], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [], [5], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [6], [6], [3, 3], [], [5], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [5], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [3, 3], [6], [], [3, 5], [], [6], [6], [3, 3], [6], [], [6], []]
[[6], [6], [6], [], [5], [3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [6], [5], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [186], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,38. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [3, 3, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6], [3, 3, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], []]
[[], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6], [6, 6], [], [], [6, 6], []]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [], [6, 6], [6, 6]]
[[], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [], [6], [3, 3], [6], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [6], [6], [3, 3], [], [], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [3, 3], [6], [], [3, 3], [], [6], [6], [3, 3], [6], [], [6], []]
[[6], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [6], [], [6], [6], [3, 3]]
-EndAllocation

Instance: [[1], [195], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,39. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 6, 6], [3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 4, 4, 4], [6, 6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6], [6], [4, 4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6], [6, 6, 6], [4, 4, 4, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 4, 4, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [], [3, 3, 3, 3, 3], [4, 4, 4], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 4], [6, 6], [3, 6, 6], [6, 6], [3, 6, 6], [3, 6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6], [6, 6], [], [6, 6], [3, 3, 3], [6, 6], [6, 6]]
[[], [6], [6, 6], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [], [], [4, 4, 4], [6, 6], [6, 6], [6], [3, 3, 3], []]
[[], [4, 4, 4], [], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6], [6, 6], [], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [4, 6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [6], [6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [4, 4], [6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 4], [3, 6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [4], [6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [4, 4], [6], [6]]
[[6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3], [4], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4]]
[[6], [3, 3], [4, 4], [6], [6], [6], [3, 3], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [4], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [3, 4], [3, 3], [6], [4, 4], [6], [3, 3], [3, 3], [6], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[], [6], [4], [6], [], [6], [4, 4], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3]]
[[6], [6], [6], [], [3, 3], [], [6], [6], [4], [6], [3, 3], [4, 4], [], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [4], [6], [6], [4, 4], [6], [6], [3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [], [6], [], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6]]
[[6], [3, 3], [], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [3, 4], [6], [4, 4], [6], []]
[[6], [4], [3, 3], [], [6], [6], [4], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [4], [6], [6], [6], [6], [3], [6], [6], [], [6], [6], [6], [6], [6], [], [3, 3]]
-EndAllocation

Instance: [[1], [194], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,39. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 4, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 4, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 6, 6, 6, 6], [3, 4, 6, 6, 6, 6], [5, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6]]
[[], [6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5], [6, 6, 6, 6]]
[[], [5, 5, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 4, 6], [6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6], [6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [4, 5, 5, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [5, 5, 6], [6, 6, 6], [4, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [4, 6, 6], [6, 6], [6, 6], [6, 6]]
[[], [5, 5, 6], [3, 3, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [5, 5], [3, 3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6]]
[[], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 4], [3, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [5, 5], [], [3, 3, 3, 3], [], [], [], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [4], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], []]
[[], [6, 6], [6], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [5, 5], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5, 5], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [4, 6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [4], [6], [3, 6], [6], [6], [5], [6], [3, 6], [3, 6], [6], [6], [6], [5], [6]]
[[6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [4], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 5], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 6], [6], [5], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [4], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [4], [6], [6], [5], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], []]
[[6], [6], [6], [3], [3, 4], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [4], [3], [6], [5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [], [5], [6], [3, 3], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [], [6], [6]]
[[6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [4], [6], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [5], [], [6], [3, 3], [6], [6], [6], [5], [6], [6], [6]]
[[6], [6], [], [6], [3, 3], [3, 3], [6], [6], [5], [6], [6], [6], [6], [], [6], [], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [4], [5], [6], [6], [6]]
[[], [6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [4], [6], [6], [5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [], [5], [6]]
[[], [4], [6], [], [6], [6], [6], [6], [5], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [], [], [5], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3]]
-EndAllocation

Instance: [[1], [193], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,39. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6]]
[[], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6], [6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 6, 6], [6, 6, 6], [4, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3], [6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 4, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 4], [3, 3, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [3], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [4], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], []]
[[], [6, 6], [6], [6, 6], [], [3, 3, 4], [6, 6], [3, 3, 3], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [4, 6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [4], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [4], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], []]
[[6], [6], [6], [3, 3], [3, 4], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [4], [3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3]]
[[6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [3], [], [6], [6]]
[[6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6], [4], [6], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [], [3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [4], [6], [6], [6], [6]]
[[], [6], [6], [6], [], [6], [], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [3], [3, 3], [], [6], [6]]
[[], [4], [6], [], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [3], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3]]
-EndAllocation

Instance: [[1], [192], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,39. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 4, 4, 4], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3], [4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], []]
[[], [4, 4, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [4, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4, 4]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], []]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [], [], [], [6, 6], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [4, 6], [6], [3, 6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [4, 6], [6], [3, 6], [6], [6], [3, 3, 3], [4, 4], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [3, 3, 3], [4, 6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [4], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [4], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [4, 4], [3, 3, 3], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [4], [6], [6], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [4], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [4, 4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [4], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [4, 4], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [4], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [4], [6], [6], [3, 3], [3, 3], [], [3, 3], [6], [6], [6], [], [], [6], [4, 4], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [3, 3], [6], [4, 4], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [], [6], [], [6], [6], [6], [6], [], [6], [6], [4], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [3, 3], [6], [], [6], [4, 4], [3, 3], [3, 3], [6], [3, 3], [6], [], [6], [6], [4], [], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [], [4, 4], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [4], [6], [3, 3], [6], [], [3, 3], [6], [6], []]
[[6], [6], [6], [6], [4], [], [4], [6], [6], [6], [6], [3, 3], [4], [3, 3], [3, 3], [6], [6], [6], [6], [], [], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [191], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,39. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6]]
[[4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6]]
[[], [4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 4, 4], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], []]
[[], [4, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 3, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6]]
[[], [3, 3, 3, 3, 3], [3, 3, 3, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [], [4, 4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 4, 4]]
[[], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6], [6, 6], [], [6, 6], [6, 6], [6, 6], []]
[[], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [3], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [], [6, 6], [3, 6], [], [], [], [6, 6], [3, 3, 3, 3]]
[[6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [4, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [4, 4], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4, 4], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [4, 4], [3, 3, 3], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [6], [3], [6], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [4, 4], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3], [6], [4, 4], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [], [3, 3], [6], [6], [6], [], [], [6], [4, 4], [6], [6], [3, 3], [6], [6]]
[[6], [3, 3], [3, 3], [6], [4, 4], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [], [6], [], [], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [3, 3], [6], [6], [3], [], [6], [6], [3, 3], [6], [], [6], [4, 4], [3, 3], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [], [3, 4], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [], [6], [6], [6], [4], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], []]
[[6], [6], [6], [6], [6], [], [4], [6], [6], [6], [6], [3, 3], [4], [3, 3], [3, 3], [6], [6], [6], [6], [3], [], [3, 3], [], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [200], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,40. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,40:
-StartAllocation
[[2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 5]]
[[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6], [5]]
[[2, 6, 6, 6, 6, 6, 6, 6], [3, 3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6], [6, 6, 6, 6, 6, 6, 6]]
[[2], [6, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 6], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3], [5, 5, 5]]
[[2, 6, 6, 6, 6], [5, 5, 6], [], [3, 3, 4], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[2, 5, 5, 5, 6], [6, 6, 6, 6], [3, 3, 4, 4, 6], [5, 5, 5, 5, 5], [6], [5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[2, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4], [], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6], [3, 3]]
[[2, 5, 5, 5, 5], [4, 4, 6, 6], [6, 6, 6], [5, 5, 5, 6], [6, 6, 6], [5, 5, 5, 5], [], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [3, 3], [4, 6, 6, 6]]
[[5, 5, 5, 6], [5, 5, 5, 5], [5, 5, 5], [4, 4, 4, 4, 4], [], [3, 3, 6, 6], [4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [2, 6, 6, 6]]
[[2, 5, 5, 5], [5, 5, 5, 5], [3, 3, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6], [], [], [6, 6, 6], [5], [5, 5, 5, 5], [4, 4, 4, 6]]
[[2, 5, 5, 6], [5, 5, 5], [6, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [3, 3], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [6, 6, 6], [], [6, 6, 6]]
[[2, 6, 6], [6, 6], [6, 6], [5, 5, 5], [5, 5, 5], [3, 3, 5, 5], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [], [5, 5, 5], [6], [6, 6], [6, 6]]
[[5, 5, 5], [5, 5, 5], [2, 5, 5], [4, 6, 6], [], [4, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [6, 6], [4, 4, 4, 4], [3, 3], [6, 6], [6], [4, 6, 6], [4, 6, 6]]
[[2, 5, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [6, 6], [6, 6], [5, 6], [], [], [], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [3, 3, 6], [5, 5, 5]]
[[2, 5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [5, 5], [4, 4, 6], [5, 5], [6, 6], [6], [3, 3], [6], [6, 6], [6, 6], [4, 4, 4], [5, 5]]
[[2, 5, 5], [6, 6], [5, 5], [4, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [5, 5], [3, 3, 4], [], [6, 6], [4, 4, 4], [6, 6], [5, 5], []]
[[2, 3, 3, 4], [5, 5], [5, 5], [6, 6], [], [5, 5], [6, 6], [], [6, 6], [], [6, 6], [5, 5], [5, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6], [4, 6], [6, 6], [5, 5], [4, 4, 4]]
[[2, 5, 5], [5, 6], [5, 5], [5, 5], [5, 5], [5], [6, 6], [4, 4], [3, 3], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [5, 5], [], [6, 6], [], [6, 6], [6, 6], [4, 4, 4]]
[[5, 6], [2, 5, 5], [5, 5], [4, 4], [], [], [6], [6, 6], [3, 3], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [], [], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [5, 6]]
[[5, 6], [2, 5], [5, 5], [5, 5], [], [6], [], [4, 4], [], [5, 5], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 3, 6], []]
[[5, 5], [5, 5], [4, 6], [5, 5], [2, 4, 4], [5, 5], [5, 5], [5, 5], [6], [6], [6], [6], [4, 4], [6], [4, 4], [5, 5], [6], [6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [6]]
[[2, 4, 4], [5, 5], [5, 5], [6], [4, 4], [6], [6], [6], [6], [], [4, 6], [5, 5], [6], [4, 6], [3, 3], [6], [4, 6], [6], [6], [5, 5], [5, 5], [5, 5], [6], [4, 6], [6], [5, 5]]
[[2, 6], [4, 6], [5, 5], [5, 5], [4, 4], [5, 5], [6], [5, 5], [], [3, 3], [5, 5], [], [6], [5, 5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [4, 6], [6], [4, 6], [4, 6], [5, 5]]
[[2, 3], [5, 5], [4, 6], [5, 5], [3, 6], [5, 5], [4, 6], [4, 6], [6], [], [4, 6], [], [5, 5], [4, 6], [5, 5], [6], [5, 5], [4, 6], [], [6], [6], [6], [4, 4], [], [6], [6], [5, 5], [6]]
[[3, 5], [2, 6], [4, 5], [4, 5], [6], [6], [4, 5], [3, 5], [6], [6], [4, 5], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5], [6], [6], [6], [5], [5], [6], [5], [6], [6], [6], [5], [6]]
[[3, 5], [6], [6], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [4, 4], [6], [5], [6], [6], [5], [6], [5], [6], [5], [6], [6], [3, 6], [6], [6], [6], [6], [5], [5], [5], [2, 6], [4, 5]]
[[3, 5], [2, 6], [4, 5], [4, 5], [5], [6], [5], [5], [6], [6], [5], [5], [6], [5], [6], [5], [4, 4], [4, 5], [6], [6], [5], [6], [4, 4], [6], [6], [6], [6], [3, 6], [4, 5], [5], [6]]
[[3, 5], [2, 6], [5], [6], [6], [5], [4, 5], [5], [5], [5], [5], [5], [6], [4, 4], [4, 4], [5], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5], [6], [5], [4, 4], [6], [5], [4, 5]]
[[2, 6], [4, 5], [4, 5], [6], [6], [6], [6], [6], [5], [6], [5], [5], [5], [5], [6], [5], [5], [5], [5], [6], [6], [3, 3], [5], [], [6], [6], [6], [4, 4], [6], [4, 5], [6], [4, 4], [4, 5]]
[[2, 6], [5], [4, 4], [6], [5], [5], [6], [6], [4, 4], [4, 4], [6], [6], [5], [6], [], [6], [6], [6], [6], [5], [5], [5], [6], [6], [4, 4], [3, 5], [5], [5], [5], [3, 5], [5], [6], [6], [5]]
[[2, 6], [6], [5], [3, 5], [5], [5], [6], [6], [6], [5], [6], [6], [6], [6], [6], [5], [4, 4], [6], [4, 4], [4, 4], [5], [6], [5], [6], [5], [5], [5], [], [6], [5], [], [5], [6], [4, 4], [3, 5]]
[[2, 6], [5], [3, 5], [6], [5], [3, 5], [6], [4, 4], [], [6], [6], [5], [], [], [5], [5], [5], [4, 4], [6], [6], [6], [5], [6], [5], [5], [4, 4], [6], [6], [6], [6], [6], [5], [6], [5], [5], [4, 4]]
[[2, 5], [5], [5], [5], [4, 4], [6], [5], [5], [6], [6], [4, 4], [5], [5], [], [6], [], [5], [6], [6], [5], [6], [6], [6], [], [4, 4], [6], [5], [6], [6], [5], [6], [4, 4], [5], [5], [6], [6], [3, 3]]
[[2, 5], [6], [5], [5], [4, 4], [6], [6], [6], [5], [3, 3], [6], [4, 4], [5], [], [], [6], [5], [4, 4], [6], [5], [6], [], [6], [4, 4], [6], [], [5], [5], [6], [6], [5], [6], [5], [6], [5], [6], [5], [5]]
[[2, 6], [5], [5], [4, 4], [5], [6], [6], [5], [5], [], [5], [], [6], [6], [4, 4], [3, 3], [], [], [6], [4, 4], [5], [], [4, 4], [5], [5], [6], [5], [6], [6], [6], [5], [6], [5], [6], [6], [6], [5], [6], [5]]
[[5], [6], [6], [6], [6], [5], [4], [6], [4], [6], [5], [6], [4], [5], [6], [5], [5], [4], [6], [6], [6], [], [4], [4], [4], [5], [5], [3, 3], [6], [5], [5], [5], [6], [6], [], [5], [6], [5], [5], [2, 4]]
-EndAllocation

Instance: [[1], [199], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,40. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,40:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6], [4, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6], [4, 4, 4, 4, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 6, 6]]
[[], [4, 4, 4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 6, 6, 6], [], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [4, 4, 4, 4], []]
[[], [3, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [6], [], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6], [6, 6], [6, 6], [4, 4, 4, 4], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3]]
[[], [4, 4, 4], [6, 6], [], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [3, 3, 3, 3], [4, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [4, 4, 4], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [], [4, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [6, 6], [4, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [], [], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6]]
[[6], [4, 6], [4, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [4, 6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [4, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [6], [6], [6], [4, 6], [3, 6]]
[[6], [6], [4, 6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [4, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 3, 3], [4, 6]]
[[6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 4], [3, 6], [6], [3, 3, 3], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 3, 3]]
[[6], [4, 4], [3, 6], [3, 6], [], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [4, 4], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3], [], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [3, 3], [6], [6], [], [4, 4], [3, 3], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [], [6], [3, 3], [3, 3], [6], [3], [6], [6], [3, 3], [3, 3]]
[[], [6], [6], [6], [6], [6], [6], [6], [], [4, 4], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [3], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [], [6], [], [6], [6], [4, 4], [6], [6], [6], [6], [], [3]]
[[6], [3, 3], [6], [], [6], [6], [6], [6], [4, 4], [3, 3], [], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3], [4, 4], [6], [6], [6], [6], [], [], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6]]
[[], [6], [3, 3], [6], [], [4, 4], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [], [4, 4], [6], [6], [6]]
[[6], [6], [6], [], [6], [6], [6], [3], [6], [4], [6], [6], [6], [6], [4], [], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [], [6], [3, 3], [6], [3, 3], [6], [3, 3], [4], [6], [6], [6], [], [4], [6]]
-EndAllocation

Instance: [[1], [198], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,40. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,40:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5]]
[[], [4, 4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [4, 4, 5, 5, 6, 6], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6]]
[[], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [4, 4, 6, 6], [], [6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 5, 5, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 6, 6], [6, 6, 6], [5, 5], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 4, 4], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [4, 4, 6], [6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 4, 4], [3, 6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [4, 4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [5, 5], [4, 4, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [6], [6, 6], [6, 6], [4, 4], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [], [5, 5]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [], [6, 6], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [], [6], [6, 6], [3, 3, 3, 3], [], [6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [5, 5]]
[[6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [4, 4], [3, 6], [6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [5, 5], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6]]
[[6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [3, 5], [5], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 5], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [4, 4], [6]]
[[6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [4, 4], [5], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [5], [6], [6], [6], [6], [6], [], [6], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [], [6], [6], [6], [4, 4], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6]]
[[6], [3, 3], [3, 3], [5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [5]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 5], [6], [6], [6], [6], [6], [6], [3, 5], [4, 4], [3, 3], [6], [6], [6], [6], []]
[[6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [3, 5], [6], [3, 3], [3, 3], [], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 5]]
[[6], [6], [3, 3], [6], [6], [5], [3, 3], [6], [], [6], [6], [4, 4], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [5], [], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [4, 4], [6], [], [6], [6], [6], [5], [6], [], [3, 3], [6], [], [3, 3], [3, 3], [6]]
[[6], [3, 3], [3, 3], [], [], [3, 3], [6], [], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [6], [3, 3], [6], [4, 4], [6], [6], [5], [6], [6], [3, 3]]
[[6], [], [5], [3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 3], [], [3, 3], [6], [5], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [6], [6], [], [6], [], [6]]
[[4], [6], [6], [6], [], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [4], [6], [6], [], [], [6], [3, 3], [], [6], [3, 3], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [5]]
-EndAllocation

Instance: [[1], [197], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,40. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,40:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6]]
[[6], [4, 4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6], [4, 4, 6, 6], [], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 4, 4], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [4, 4, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [3, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 4, 4], [3, 6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6]]
[[], [3, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [], []]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3], [], [6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [4, 4], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6]]
[[6], [6], [3, 6], [3, 6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [4, 4]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [4, 4], [6]]
[[6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [4, 4], [3, 3, 3], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [6]]
[[6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [4, 4], [3, 3], [6], [6], [6], [6], []]
[[6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [3], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [], [6], [6], [4, 4], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [4, 4], [6], [], [3], [6], [6], [6], [6], [], [3, 3], [6], [], [3, 3], [3, 3], [6]]
[[6], [3, 3], [3, 3], [], [3], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [6], [3, 3], [6], [4, 4], [6], [6], [6], [], [6], [3, 3]]
[[6], [], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [6], [6], [], [3], [], [6]]
[[4], [6], [6], [6], [], [6], [6], [3, 3], [6], [], [6], [6], [3, 3], [6], [4], [6], [6], [3], [], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], []]
-EndAllocation

Instance: [[1], [196], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,40. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,40:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6]]
[[], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [5, 5], [6, 6, 6], [3, 6, 6, 6]]
[[], [6, 6, 6], [5, 5], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [5, 5, 6], [6, 6, 6], [], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [], [6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5, 6], [3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3], [3, 3, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6]]
[[], [6, 6], [3, 6, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [5, 5], [6, 6], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [], [6], [6, 6], [3, 3, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [5, 5], [6, 6], [3, 3], [3, 3, 3, 3]]
[[], [], [5, 5], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [], [6, 6], [], [6, 6], [], [6, 6], [3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [], [5, 5], [], [3, 3, 3, 3], [3, 3, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [], []]
[[6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [5, 5], [3, 6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 3, 3], [5, 5], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6]]
[[6], [3, 6], [3, 6], [6], [3, 6], [3, 5], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [3, 6]]
[[6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [3, 6], [6], [5], [6], [3, 6]]
[[6], [6], [6], [6], [5], [6], [5], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [5]]
[[6], [3, 3], [3, 3, 3], [5], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [5], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6]]
[[6], [5], [6], [6], [6], [], [6], [6], [6], [3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 5], [3, 3], [], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3], [3, 3], [6], [6], [], [6], [6], [5], [6], [6], [6], [], [6], [6], [3, 5], [6], [6], []]
[[6], [6], [3, 3], [3, 3], [], [6], [6], [6], [6], [3, 3], [], [6], [6], [3, 3], [5], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [5], [], [6], [6], [6], [6], [6]]
[[6], [3, 3], [5], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [], [6], [3, 3], [5], [6]]
[[], [3, 3], [6], [3, 3], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [5], [3, 3], [6], [5], [3, 3], [3, 3], [6]]
[[6], [3, 3], [3, 3], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [], [6], [3, 3], [5], [], [6], [5], [], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], []]
-EndAllocation

Instance: [[1], [205], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,41. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,41:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 6, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [4, 4, 6, 6, 6], [5, 5, 5, 5, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 4, 4, 6, 6], [3, 6, 6, 6, 6], [5, 5, 5, 5, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 6], [6, 6, 6, 6], [4, 5, 5, 5, 5], []]
[[], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 5, 5], [6, 6, 6, 6], [], [5, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6]]
[[], [4, 4, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [5, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5], [6, 6, 6], [3, 3, 3, 3, 3], [], [5, 5, 5], [6, 6, 6], [4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 5]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 5], [6, 6], [6, 6], [3, 5, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5]]
[[], [5, 5], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3], [3, 3, 3, 3], [6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [6, 6], [], [6, 6], [3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [4, 4], [3, 3, 3], [], [], [6, 6]]
[[], [5, 5], [], [], [6, 6], [6, 6], [3, 3, 3], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6, 6], [4, 4], [6, 6], [6, 6], [3, 3, 3], [5, 5], [6, 6], [5, 5], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6], [6, 6], [6], [6, 6], [6, 6], [], []]
[[6], [5, 5], [3, 6], [6], [6], [4, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [4, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [6], [3, 6], [5, 5], [4, 6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [5, 5], [3, 6], [6], [6], [6], [4, 6], [3, 3, 3], [6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [3, 3, 3], [3, 6], [5, 5], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [4, 4], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 5], [6], [3, 6], [3, 6], [5], [6], [4, 4], [3, 6], [6], [6], [6], [5], [6], [3, 5], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 6], [6], [6], [4, 5], [6], [3, 5], [6], [3, 6], [6], [6], [4, 5], [6], [6], [3, 6], [3, 6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 6], [5], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [4, 4], [6], [6], [5], [6], [6], [6], [6], [6], [3, 5], [6], [5], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [5], [5]]
[[5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [4, 4], [6], [3, 3, 3], [3, 3], [6], [6], [6], [6], [], [6], [6], [5], [6], [6]]
[[6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [5], [6], [3, 3], [5], [6], [4, 4], [5], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [3, 3], [], [6], [3, 3], [6], [3, 3], [5], [5], [6], [3, 3], [6], [6], [3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6]]
[[5], [], [5], [6], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [4, 4], [3, 3], [6], [5], [6], [6], [6], [3], [6], [5], [6]]
[[6], [4, 4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [], [6], [3, 3], [6], [3], [6], [6], [5], [6], [6], [5], [6], [6], [5], [3, 3], [6], [6], [6], [], [6], [5]]
[[6], [6], [3, 3], [5], [], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 5], [3, 3], [6], [6], [], [6], [6], [5], [6], [6], [], [], [5], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3], [6]]
[[], [6], [6], [6], [6], [6], [6], [5], [6], [6], [], [], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [3, 5], [], [6], [6], [3, 3], [], [4, 4], [6], [3, 3], [3, 3], [3, 5], [6], [6], [6], [5], [6], []]
[[6], [6], [6], [4], [5], [6], [6], [3, 3], [6], [6], [5], [], [6], [6], [6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [5], [], [5], [6], [3, 3], [], [6], [], [4], [3, 3], [6], [6], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [204], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,41. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,41:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [4, 4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 6, 6, 6, 6], [6, 6, 6], [3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [4, 4, 6, 6, 6], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 4, 4, 6, 6], [3, 6, 6, 6, 6], [5, 5, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [4, 4, 5, 5, 6], []]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5], [6, 6, 6], [5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6]]
[[], [4, 4, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [5, 5, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [5, 5, 6], [6, 6, 6], [4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [5, 5, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6], [6, 6], [], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6], [6, 6], [4, 4], [3, 3, 3, 3], [], [], [6, 6]]
[[], [5, 5], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [], [], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6], [4, 4], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], []]
[[6], [5, 5], [3, 6], [6], [6], [4, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [4, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [4, 6], [3, 3, 3], [6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [4, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [4, 4], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [3, 6], [5], [6], [6], [3, 6], [6], [6], [4, 4], [3, 6], [6], [6], [6], [6], [3, 3, 3], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [4], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [4, 5], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [4, 4], [6], [6], [5], [6], [6], [6], [6], [6], [3, 5], [6], [6], [3, 6], [6], [], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [6], [3, 3], [4, 4], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6]]
[[6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3], [3, 3], [], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [3, 3], [], [6], [3, 3], [6], [3, 3], [5], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6]]
[[5], [], [5], [6], [6], [6], [], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [4, 4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [5], [6], [6], [], [6], [6], [5], [3, 3], [6], [6], [6], [], [6], [6]]
[[6], [6], [3, 3], [6], [], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [6], [5], [6], [6], [], [], [5], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3], [6]]
[[], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [3, 5], [], [6], [6], [3, 3], [], [4, 4], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [5], [6], []]
[[6], [6], [6], [4], [5], [6], [], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5], [], [6], [6], [3, 3], [], [6], [], [4], [3, 3], [6], [6], [3, 3], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [203], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,41. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,41:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [3, 4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 5, 5, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6], [4, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [4, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[6], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6]]
[[], [6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 4, 5, 5], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6], [6, 6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [], [4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [5, 5], [6], [], [4, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [6], [6, 6], [4, 6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [3, 6, 6], [6, 6]]
[[], [3, 3, 3, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [6, 6], [4, 5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], []]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6], [5], [6, 6], [6, 6], [3, 4, 5]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6], [6, 6], [], [6, 6], [6], [5, 5], [6, 6], [6, 6], [6, 6], [], [3], [], [3, 3, 3, 3]]
[[], [], [6, 6], [4, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [3], [6, 6], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [3, 6], [6, 6], [], [], [], [], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3]]
[[6], [6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [5, 5], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [4, 6], [3, 3, 3], [3, 6], [6], [6], [5, 5], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5, 5], [6], [3, 6], [3, 3, 3], [6], [3, 6], [4, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [5], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [5], [3, 6], [6], [6], [6], [4], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [4], [6], [3, 5], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [5], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [4, 5], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [6], [3, 3], [3, 6], [3, 3, 3], [3, 3, 3], [5], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [5], [4], [6], [6], [6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 4], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [5], [6], [6], [6], [6]]
[[6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 4], [6], [3, 3], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6]]
[[], [3, 3], [6], [], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [4]]
[[], [6], [4], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3], [], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [3], [], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [4], [6], [3, 3], [6], [6], [5], [6], [6], [6], [6], [6], [6], [], [3, 3], [5], [3, 3]]
[[], [6], [3], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 5], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [5], [], [6], [6], [6], [3, 4]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 4], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [5], [5], [6], [3, 3], [], [6], [], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], []]
[[6], [3, 3], [5], [4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [], [6], [6], [6], [6], [6], [3, 3], [3], [6], [], [6], [6], [6], [5]]
-EndAllocation

Instance: [[1], [202], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,41. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6], [4, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 4], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [], [4, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], []]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 4]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6], [], [3, 3], [], [3, 3, 3, 3]]
[[], [], [6, 6], [4, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [3, 3], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [6, 6], [6, 6], [], [], [], [], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3]]
[[6], [6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [4, 6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [4, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [4], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [4], [6], [3, 6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [4], [6], [3, 3, 3]]
[[6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 4], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 4], [6], [3, 3], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[], [3, 3], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [4]]
[[], [], [4], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [], [6], [], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [4], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3]]
[[], [6], [3], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [3, 4]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 4], [3, 3], [6], [6], [3, 3], [3], [], [6], [6], [6], [6], [6], [3, 3], [], [6], [], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], []]
[[6], [3, 3], [3, 3], [4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [201], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,41. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,41:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], []]
[[], [6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], []]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3], [], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3], [], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [6, 6], [6, 6], [], [], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3]]
[[6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [3, 3, 3]]
[[6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [3, 3, 3], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[], [3, 3], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [], [6], [], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [3, 3]]
[[], [6], [3], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [3, 3]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [3], [], [6], [6], [6], [6], [6], [3, 3], [], [6], [], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], []]
[[6], [3, 3], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [], [6], [6], [6], [6], [6], [3, 3], [3], [6], [], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [210], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,42. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,42:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 6, 6]]
[[], [5, 5, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6], [5, 5, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [], [5, 5, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6, 6], [], [3, 5, 5, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [4, 4, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [], [6, 6], [3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3], [6, 6, 6], [], [3, 3, 3, 4, 4]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 6], [5, 5, 6], [], [6, 6], [6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3], [6, 6], [6, 6], [3, 3, 4, 4], [6, 6]]
[[], [6, 6], [6, 6], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 4]]
[[], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4]]
[[], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [4, 4], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [], [], [5, 5], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [4, 6], [6], [6], [5, 5], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [4, 6], [6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [3, 3, 3], [6], [6], [4, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [6], [4, 6], [6], [6], [3, 6], [6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [3, 6], [6], [4, 4], [6], [6], [6], [6], [6], [5, 5], [3, 6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 5], [6], [3, 6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 6], [4, 4]]
[[6], [6], [3, 3, 3], [5], [6], [3, 6], [6], [3, 6], [3, 6], [6], [4, 4], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [5], [4, 4], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6]]
[[6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [5], [3, 3, 3], [], [6], [6], [6], [5], [6], [6], [4, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [3, 5], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [6], [3]]
[[6], [3, 3], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 5], [3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [5], [3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [3, 3], [3, 3], [3], [5], [6], [6], [], [6], [6], [3, 3], [6], [6], [3, 5], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [4, 4], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [], [5], [6], [6], [3, 3], [6], [], [4, 4], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [], [5], [6], [6], [6], [6]]
[[6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [5], [], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [5], [6], [3, 3], [4, 4], [6], [], [6], [6]]
[[6], [6], [6], [3, 3], [6], [3, 3], [], [3, 5], [], [6], [3, 5], [6], [6], [], [], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [4, 4], [6], [], [6], [3, 3], [3, 3], [6], [6], [], [6]]
[[], [6], [3, 3], [6], [6], [4], [6], [3, 3], [], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [], [5], [6], [], [6], [6], [6], [6], [6], [6], [6], [4], [], [], [6], [6], [3, 3], [6], [6]]
-EndAllocation

Instance: [[1], [209], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,42. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 6, 6], [4, 5, 5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5, 5]]
[[], [], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5]]
[[], [6, 6, 6, 6, 6], [4, 4, 4, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 6, 6, 6, 6], [4, 4, 4], [5, 5, 5, 5, 5], [6], [4, 6, 6, 6, 6], [4, 6, 6, 6, 6], [4, 4, 4, 4, 5, 5], [4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6], [5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5], [], [5, 5, 5], [6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 6], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4]]
[[], [5, 5, 5, 5], [5, 5, 5], [6, 6, 6], [], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 6, 6], [6, 6, 6]]
[[], [5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [4, 5], [6, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 6, 6], [6, 6, 6], [5, 5, 5], []]
[[], [4, 4], [], [5, 6, 6], [], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [5, 5, 5], [5, 6, 6], [5, 5, 5], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [4, 4, 6], [], [4, 4, 4, 4], [6, 6]]
[[], [4, 6, 6], [], [6, 6], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [4, 6, 6], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], [5, 6], []]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [5, 6], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4]]
[[], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 5], [6, 6], [6, 6], [], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [4, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5]]
[[], [], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6], [4, 4, 4], [4, 4, 4], [5, 5], [5], [5, 5], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [4, 4, 4], [5, 6], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4], [], [6, 6]]
[[], [], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [5, 6], [6, 6], [], [4, 4, 4], [], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], [], [5], [6, 6], [5, 5], [6], [6, 6], [4, 4, 4], [], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [], [6, 6], []]
[[], [6], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [], [4, 4, 4], [5], [], [6, 6], [6, 6], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [], [6, 6]]
[[], [6, 6], [], [], [4, 4, 4], [6, 6], [6, 6], [6, 6], [], [4, 4, 4], [4, 4, 4], [5, 6], [4, 4, 4], [5, 5], [], [], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [6, 6], [4, 4, 4], [], [6, 6], [5, 5]]
[[6], [4, 6], [4, 5], [4, 6], [6], [6], [6], [4, 6], [4, 4], [5, 5], [6], [6], [4, 4], [4, 4], [4, 4], [6], [5, 5], [6], [4, 6], [4, 6], [6], [4, 4], [4, 4], [5, 5], [6], [6], [6]]
[[6], [4, 4], [6], [6], [6], [5, 5], [6], [6], [4, 6], [4, 4], [6], [4, 4], [6], [4, 4], [5, 5], [6], [6], [4, 6], [], [4, 6], [6], [4, 4], [4, 5], [6], [4, 4], [5, 5], [4, 6], [4, 6]]
[[], [6], [6], [4, 4], [6], [4, 4], [6], [6], [4, 6], [6], [6], [4, 4], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [4, 6], [5, 5], [4, 6], [6], [5, 5], [4, 5], [6], [5, 5], [6], [4, 4]]
[[6], [6], [4, 5], [4, 5], [4, 5], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [4, 4], [6], [4, 5], [6], [4, 4], [6], [4, 5], [4, 5], [4, 4], [6], [4, 4], [4, 4], [6], [5], [6], [6]]
[[6], [6], [6], [6], [4, 4], [5], [6], [4, 5], [4, 4], [6], [6], [4, 4], [6], [6], [4, 4], [4, 4], [5], [6], [4, 4], [6], [6], [5], [4, 5], [6], [4, 4], [6], [6], [4, 5], [4, 5], [6], [6]]
[[6], [6], [4, 4], [5], [6], [6], [6], [6], [4, 5], [5], [4, 4], [6], [4, 4], [4, 4], [6], [5], [6], [6], [6], [6], [4, 4], [6], [4, 4], [4, 4], [5], [6], [6], [6], [4, 5], [4, 4], [5], [6]]
[[6], [6], [], [5], [6], [4, 4], [4, 4], [4, 5], [6], [6], [4, 5], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [5], [4, 4], [4, 4], [4, 4], [6], [6], [6], [6], [6], [4, 4], [5], [5], [4, 4]]
[[6], [4, 5], [4, 4], [], [4, 4], [4, 4], [6], [4, 4], [6], [4, 4], [6], [], [4, 4], [6], [], [6], [6], [5], [6], [4, 5], [6], [6], [4, 5], [4, 5], [6], [6], [6], [6], [6], [6], [], [4, 5], [4, 5], [6]]
[[6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [], [6], [5], [6], [4, 4], [5], [4, 4], [6], [6], [4, 4], [], [5], [4, 4], [5], [5], [6], [5], [4, 4], [5], [4, 4]]
[[6], [4, 4], [6], [], [], [4, 4], [6], [], [4, 4], [5], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [5], [6], [5], [6], [6], [6], [6], [6], [4, 4], [6], [5], [5], [4, 4], [5], [4, 4], [5], [4, 4]]
[[], [5], [6], [4, 4], [], [6], [], [4, 4], [], [6], [4, 4], [4, 4], [4, 4], [6], [5], [6], [4, 4], [6], [4, 4], [5], [6], [5], [5], [6], [6], [5], [6], [6], [6], [6], [4, 4], [6], [6], [6], [5], [4, 4], [6]]
[[5], [4, 4], [6], [6], [4, 4], [4, 4], [6], [5], [6], [5], [6], [4, 4], [6], [6], [6], [5], [5], [6], [6], [4, 4], [6], [], [], [4, 4], [6], [6], [6], [6], [4, 4], [5], [6], [6], [], [4, 4], [5], [], [], [4, 4]]
[[6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [4, 4], [5], [], [], [5], [6], [5], [], [6], [6], [4, 4], [6], [6], [], [5], [5], [4, 4], [4, 4], [4, 4], [6], [6], [4, 4], [6], [6], [6], [5], [], [5], [], [6], [6], [6]]
[[6], [6], [], [6], [6], [6], [4, 4], [4, 4], [5], [], [5], [6], [5], [4, 4], [4, 4], [4, 4], [6], [4, 4], [], [], [6], [5], [6], [4, 4], [6], [6], [], [5], [6], [5], [], [5], [6], [4, 4], [6], [6], [6], [4, 4], [], [6]]
[[6], [6], [4, 4], [], [4, 4], [6], [4, 4], [], [], [], [5], [6], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [6], [5], [5], [], [], [6], [], [6], [6], [6], [4, 4], [6], [5], [6], [5], [6], [6], [5], [5], [], [6], [4, 4], [6]]
[[4], [4], [6], [4], [6], [6], [5], [5], [5], [6], [4], [4], [4], [4], [6], [4], [6], [4], [4], [5], [4], [6], [4], [6], [4], [5], [4], [4], [6], [5], [4], [6], [6], [6], [6], [6], [4], [6], [6], [4], [5], [6]]
-EndAllocation

Instance: [[1], [208], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,42. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4]]
[[6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [], [6, 6, 6, 6], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 5], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [], [], [4, 4, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 5]]
[[5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3], [6, 6, 6, 6], [4, 4, 6, 6], [], [6, 6, 6, 6], [], [6, 6, 6, 6]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 3], [6], [], [4, 4, 4, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 5, 5, 5], [6, 6, 6], [6], [5, 5, 5, 5], [4, 4, 4, 6], [3, 3, 3, 3], [6, 6, 6], [], [], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [5], [5, 5, 5], [6, 6], [5, 5, 5], [6, 6, 6], [], [3, 3, 3, 3], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6]]
[[5, 5, 5], [5, 5, 5], [6, 6], [5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [5, 6, 6], [6, 6], [6, 6], [6, 6]]
[[6, 6], [3, 3, 3, 3], [5, 5, 5], [4, 4, 4, 4], [], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [6, 6], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [5, 6, 6]]
[[4, 6, 6], [4, 6, 6], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [5], [6, 6], [4, 6, 6], [], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [4, 6, 6], [], [3, 3, 3, 3], [5, 5, 5]]
[[5, 5], [5, 5], [6, 6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [4, 5, 5], [4, 4, 4], [6, 6], [5, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 5, 5]]
[[5, 5], [5, 5], [5, 5], [], [6, 6], [4, 4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [4, 5, 5], [6, 6], [4, 5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], [4, 4], [6, 6], [5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [4, 4, 4]]
[[5, 5], [5, 5], [4, 4, 5], [], [3, 3, 3, 3], [], [5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [5, 5], [5, 5], [6, 6]]
[[5, 5], [5, 5], [5, 5], [6, 6], [], [4, 4], [], [4, 4, 4], [], [5, 5], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [], [], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[5, 5], [5, 5], [5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [4, 4], [], [], [5, 5], [], [5, 5], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[5, 5], [5, 5], [4, 6], [6], [5, 5], [6], [], [4, 6], [5, 5], [6], [4, 4], [5, 5], [6], [4, 6], [3, 3, 3], [6], [4, 4], [6], [6], [5, 5], [5, 5], [3, 6], [4, 6], [6], [5, 5], [6]]
[[4, 6], [5, 5], [5, 5], [5, 5], [4, 4], [6], [4, 6], [], [6], [3, 6], [5, 5], [6], [6], [5, 5], [3, 3, 3], [6], [], [6], [6], [6], [6], [5, 5], [5, 5], [4, 6], [5, 5], [4, 6], [4, 4]]
[[5, 5], [5, 5], [5, 5], [6], [], [], [3, 3, 3], [3, 6], [6], [6], [4, 6], [], [4, 6], [5, 5], [4, 6], [4, 6], [5, 5], [4, 6], [6], [4, 6], [5, 5], [6], [4, 4], [], [6], [5, 5], [5, 5], [6]]
[[5, 5], [5, 5], [6], [3, 6], [3, 3, 3], [5, 5], [5, 5], [6], [6], [4, 4], [6], [6], [5, 5], [4, 6], [6], [5, 5], [6], [5, 5], [4, 4], [4, 4], [6], [], [], [6], [], [4, 6], [6], [5, 5], [6]]
[[4, 5], [3, 5], [3, 6], [3, 6], [4, 5], [4, 5], [4, 5], [4, 5], [6], [6], [6], [4, 5], [4, 5], [5], [5], [5], [6], [6], [6], [6], [6], [4, 5], [6], [6], [5], [5], [5], [3, 6], [6], [5]]
[[3, 6], [6], [4, 5], [5], [4, 5], [4, 5], [6], [6], [6], [6], [4, 5], [6], [6], [4, 5], [4, 5], [5], [3, 5], [3, 5], [6], [6], [5], [6], [6], [6], [5], [5], [5], [5], [6], [3, 5], [4, 4]]
[[3, 5], [6], [6], [6], [4, 5], [4, 5], [6], [6], [4, 5], [6], [6], [6], [5], [4, 5], [4, 5], [6], [5], [4, 5], [5], [6], [5], [5], [6], [6], [6], [5], [5], [5], [4, 4], [5], [3, 3, 3], [6]]
[[6], [4, 5], [4, 5], [6], [4, 5], [5], [6], [5], [3, 3, 3], [6], [5], [5], [5], [], [6], [5], [5], [6], [5], [6], [6], [4, 5], [3, 6], [6], [4, 4], [6], [6], [4, 5], [6], [4, 5], [5], [6], [5]]
[[6], [6], [6], [5], [4, 5], [6], [5], [5], [4, 5], [5], [5], [5], [5], [5], [6], [5], [4, 4], [4, 4], [4, 5], [5], [5], [6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [5], [3, 4], [6], [6], [6]]
[[6], [6], [5], [5], [6], [3, 5], [6], [4, 4], [6], [3, 3], [4, 4], [6], [6], [4, 4], [6], [6], [5], [6], [5], [6], [5], [4, 4], [5], [5], [5], [6], [6], [5], [3, 5], [5], [6], [5], [5], [5], [5]]
[[6], [6], [3, 5], [6], [5], [5], [6], [], [3, 3], [5], [6], [6], [3, 5], [4, 4], [4, 4], [6], [5], [6], [5], [5], [6], [6], [6], [6], [5], [4, 4], [4, 4], [5], [5], [5], [6], [5], [5], [6], [5], [5]]
[[3, 5], [5], [4, 4], [5], [5], [6], [5], [4, 4], [6], [6], [6], [5], [6], [5], [5], [5], [5], [4, 4], [6], [6], [], [3, 5], [], [5], [], [5], [3, 5], [6], [4, 4], [6], [6], [6], [5], [6], [6], [6], [3, 5]]
[[5], [5], [5], [5], [6], [5], [6], [5], [5], [], [6], [6], [3, 5], [6], [4, 4], [6], [6], [], [6], [], [5], [5], [3, 3], [6], [3, 5], [5], [5], [4, 4], [6], [4, 4], [5], [5], [6], [6], [5], [4, 4], [6], [6]]
[[6], [3, 3], [3, 3], [5], [5], [5], [6], [5], [5], [5], [6], [6], [5], [5], [4, 4], [4, 4], [6], [], [6], [4, 4], [5], [], [4, 4], [], [5], [6], [5], [6], [6], [6], [5], [6], [5], [6], [5], [6], [5], [5], [6]]
[[6], [6], [5], [5], [6], [3, 3], [6], [5], [5], [6], [], [4, 4], [6], [], [5], [4, 4], [6], [6], [], [3, 3], [], [6], [5], [6], [5], [5], [5], [4, 4], [4, 4], [5], [6], [6], [5], [5], [6], [5], [5], [6], [5], [5]]
[[6], [5], [5], [5], [5], [5], [], [4, 4], [], [6], [5], [3, 5], [6], [6], [4, 4], [5], [6], [6], [4, 4], [6], [6], [], [], [6], [6], [5], [], [5], [3, 5], [5], [5], [3, 3], [4, 4], [], [6], [6], [6], [5], [5], [5], [6]]
[[5], [5], [5], [5], [5], [5], [], [4], [4], [6], [4], [6], [6], [6], [], [5], [4], [5], [5], [3, 3], [5], [6], [5], [4], [6], [4], [5], [6], [6], [5], [4], [6], [6], [6], [4], [6], [6], [3, 3], [5], [5], [6], [5]]
-EndAllocation

Instance: [[1], [207], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,42. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[5], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [6, 6, 6, 6, 6, 6, 6], [5, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6], [4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6], [4, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 4]]
[[], [6, 6], [5, 5, 6, 6, 6], [4, 4, 6, 6, 6], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [5, 5, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 4, 4, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6], [], [], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 5, 5], [4, 4, 6], [6], [3, 3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [], [6, 6], [6, 6, 6], [4, 4, 5, 5], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [5, 5, 6], [4, 4, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 5, 6], [3, 3, 3, 4, 4], [6, 6], [6, 6]]
[[], [3, 3, 5, 5], [6, 6], [4, 4, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 5, 5], [4, 4, 6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 4, 4], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 5, 5]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [6], [6, 6], [6, 6], [4, 4], [3], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [6, 6], [3, 4, 4], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3], [6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], []]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [5, 5], [6, 6], [], [6, 6], [], [6, 6], [4, 4], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [3, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [5, 5], [3, 6], [6], [4, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [4, 4], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [5, 5], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 4], [3, 6], [6], [3, 6], [6], [6], [6], [6], [5, 5], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [3, 3, 3], [6], [5, 5], [6], [6], [6], [6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [5], [3, 6], [6], [3, 6], [3, 5], [3, 6], [6], [3, 6], [6], [4, 4], [6], [6], [6], [6]]
[[6], [6], [6], [5], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [5]]
[[6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [], [6], [6], [5], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6]]
[[], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [6], [3, 5], [3, 3, 3], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6]]
[[6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [3, 3], [3, 3], [3, 3], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [4, 4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [4, 4], [6], [5], [6], [3], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6], [3, 3], [6], [], [6], [6]]
[[6], [3, 3], [6], [3, 3], [6], [5], [6], [], [6], [6], [6], [4, 4], [3, 3], [3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3]]
[[6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [3, 3], [4, 4], [3, 3], [6], [], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [], [6], [3, 5], [6], [], [6], [5], [6], [], [], [3, 3]]
[[6], [6], [5], [], [6], [], [], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [], [3, 3], [4, 4], [3, 3], [6], [6], [6], [3, 3], [6], [6], [5], [3, 3], [6], [6], [3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [], [6], [6], [6], [6], [6], [3, 3], [], [3, 5], [6], [3, 3], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [5], [], [6], [4, 4], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [], [6], [4], [3, 3], [6], [], [6], [6], [], [6], [6], [6], [6], [5], [6], [3, 3], [6], [6], [3, 3], [5], [6], [6], [6], [6], [], [6], [3], [3, 3], [6], [], [6], [3, 3], [6], [4], [6], [6], [6], [6], [6], [3, 3], []]
-EndAllocation

Instance: [[1], [206], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,42. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,42:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 5, 5, 6]]
[[], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [4, 4, 4, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6], [3, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], []]
[[], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4], [6, 6, 6, 6], [3, 3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [6], [6, 6, 6], [5, 5, 6]]
[[], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5], [3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], []]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [5, 5, 6]]
[[], [6, 6], [3, 3, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 4, 4]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [4], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [4, 6], [6, 6], [4, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [6], [], [4, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [], [6, 6], [4], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [5, 5], [], [4], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [4, 4, 4]]
[[], [4], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [4, 6], [4, 4], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [4, 4], [6], [3, 6], [6], [6], [6], [6], [4, 4], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [6], [3, 6], [3, 6]]
[[6], [4, 6], [6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [5, 5], [3, 6], [4, 6], [6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 6], [3, 6], [6]]
[[6], [6], [4, 4], [6], [6], [3, 6], [3, 3, 3], [3, 6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5, 5], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 4], [3, 6], [6], [6], [6], [6], [4, 5], [6], [3, 3, 3], [4, 5], [6]]
[[6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [4, 4], [3, 6], [3, 6], [6], [3, 6], [6], [4, 4], [6], [6], [6]]
[[5], [6], [6], [6], [6], [4, 4], [], [4, 4], [3, 3, 3], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 6], [6], [5], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [5], [6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [5], [6], [6], [6], [], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [4, 4], [6], [6], [3, 3], [5], [6], [4, 4], [6], [6], [6], [6], [6], [6], []]
[[5], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [4, 4], [6], [6], [6], [4, 4], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6]]
[[6], [6], [4, 4], [6], [], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [3, 3], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5], [6]]
[[6], [6], [6], [3, 3], [6], [], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [4, 4], [6], [3, 3], [6], [5], [6], [6], [6], [6], [6], [3, 3], [6], [4, 4], [], [3, 3], [6], [6], [6]]
[[6], [6], [4, 4], [6], [6], [6], [], [], [3, 3], [6], [6], [], [5], [6], [], [6], [6], [6], [6], [3, 3], [4, 4], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [3, 3], [6]]
[[6], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [], [6], [6], [], [6], [3, 3], [6], [6], [6], [4, 4], [5], [6], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [4, 4], [3], [3, 5], [6]]
[[6], [6], [6], [6], [], [6], [3, 3], [6], [4, 4], [6], [3, 3], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [4, 4], [6], [6], [5], [3, 3], [5], [3, 3], [], [], [6], [6], [], [6], [6], [6], [6], [6], [], [6], [6], [6]]
[[6], [6], [], [6], [6], [6], [], [6], [6], [5], [3, 3], [], [6], [6], [6], [4, 4], [], [3, 3], [6], [6], [6], [3, 3], [5], [], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [4, 4], [6]]
[[6], [6], [3, 3], [6], [6], [6], [4], [6], [6], [], [], [6], [6], [4], [3, 3], [6], [5], [6], [6], [6], [3, 3], [], [3, 3], [6], [], [6], [6], [6], [6], [], [6], [3, 3], [5], [6], [6], [6], [6], [3, 3], [4], [6], [], [4]]
-EndAllocation

Instance: [[1], [215], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,43. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [3]]
[[6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5], [], [6], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[4, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 5, 5, 5, 5], [3, 3, 3, 3], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3], [], [6, 6, 6, 6]]
[[5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [], [6, 6, 6], [], [3, 3, 3, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6]]
[[3, 3, 5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 6], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [6, 6, 6], [6, 6, 6], [3, 3], [5, 5, 5, 5], []]
[[5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 6], [5, 5, 5, 5], [], [5, 5, 5], [], [4, 4, 4, 4, 4], [6, 6, 6], [], [3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 5, 5], [5, 5, 5], [], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [], [6, 6, 6], [], [3, 3, 3, 3, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3], [5, 6, 6], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [6, 6], [5, 6, 6], [4, 4, 4, 4], [], [6, 6], [4, 4, 4, 4], [6, 6], [], [6, 6], [5, 6, 6]]
[[6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 4, 4, 4], [], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [3, 3, 3, 3], [5, 5, 5]]
[[5, 5, 5], [], [4, 6, 6], [5, 5, 5], [4, 6, 6], [3, 3, 3, 3], [4, 6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [6, 6], [], [], [4, 6, 6], [6, 6], [], [6, 6], [5, 5, 5]]
[[5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [5], [4, 4, 4], [5, 5], [], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 5, 5], [4, 5, 5]]
[[5, 5], [5, 5], [5, 5], [4, 4, 6], [4, 4, 4], [4, 4, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [5, 5], [6], [4, 5, 5], [6, 6], [5, 5]]
[[5, 5], [5, 5], [4, 4, 4], [3, 3, 3, 3], [4, 4], [6, 6], [5], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [4, 4, 4]]
[[5, 5], [5, 5], [5, 5], [6, 6], [], [], [6, 6], [5, 5], [6, 6], [4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [], [5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6]]
[[5], [5, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4], [6, 6], [], [5, 5], [6, 6], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5]]
[[5, 5], [5, 5], [5, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [], [], [5, 5], [], [4, 4, 4], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [4, 4], [6], [6, 6], [6, 6]]
[[5, 5], [5, 5], [5, 5], [], [6, 6], [6, 6], [], [5, 5], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [4, 4, 4], [6, 6], [5], [6, 6], [6, 6], [4, 4], [], []]
[[5, 5], [5, 5], [6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [4, 4], [5], [4, 6], [4, 4], [4, 6], [6], [6], [6], [5, 5], [5, 5], [6], [5, 5], [4, 4], [5, 5]]
[[5, 5], [5, 5], [5, 5], [6], [6], [6], [6], [3, 3, 3], [4, 6], [6], [5, 5], [], [4, 6], [5, 5], [4, 6], [3, 6], [4, 6], [5, 5], [6], [5], [4, 4], [6], [4, 4], [6], [6], [6], [5, 5], [6]]
[[5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [6], [6], [6], [6], [5, 5], [3, 6], [3], [6], [6], [], [5, 5], [6], [5, 5], [4, 4], [6], [3, 6], [6], [4, 6], [6], [5], [4, 6], [6], [3, 6], [5, 5]]
[[5, 5], [5, 5], [6], [5, 5], [5, 5], [4, 4], [4, 4], [6], [6], [5, 5], [6], [6], [6], [6], [4, 4], [], [6], [5], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [5, 5], [6], [6], [5, 5], [4, 4]]
[[4, 5], [3, 5], [6], [4, 5], [6], [6], [6], [4, 5], [3, 5], [6], [6], [4, 5], [6], [4, 5], [6], [6], [4, 5], [5], [5], [5], [6], [6], [5], [6], [6], [6], [4, 5], [6], [3, 5], [4, 5], [3, 6]]
[[6], [3, 6], [4, 5], [6], [6], [6], [6], [6], [3, 6], [6], [4, 5], [3, 6], [6], [5], [3, 5], [5], [6], [6], [6], [6], [5], [5], [5], [5], [5], [5], [4, 4], [4, 5], [4, 5], [6], [4, 5], [4, 5]]
[[3, 5], [3, 6], [6], [3, 5], [4, 5], [6], [6], [6], [5], [5], [5], [4, 4], [6], [4, 4], [6], [5], [6], [6], [6], [6], [5], [3, 6], [6], [5], [6], [6], [5], [6], [5], [4, 5], [5], [4, 5], [4, 5]]
[[6], [4, 5], [5], [6], [6], [4, 4], [3, 6], [5], [5], [6], [5], [5], [6], [6], [6], [5], [3, 6], [6], [6], [6], [6], [4, 4], [5], [6], [5], [5], [3, 5], [4, 4], [5], [5], [5], [3, 6], [6], [4, 5]]
[[3, 5], [4, 5], [6], [6], [6], [6], [6], [5], [6], [6], [6], [5], [6], [4, 4], [6], [3, 3, 3], [6], [5], [6], [5], [4, 5], [6], [5], [5], [5], [6], [5], [5], [4, 4], [6], [5], [4, 4], [6], [5], [5]]
[[5], [6], [5], [6], [6], [4, 4], [3, 5], [5], [4, 4], [5], [4, 4], [5], [6], [6], [6], [5], [3, 5], [6], [3, 5], [5], [6], [6], [5], [6], [6], [6], [3, 5], [], [4, 4], [6], [5], [6], [6], [5], [5], [6]]
[[5], [5], [6], [4, 4], [5], [6], [6], [4, 4], [6], [5], [6], [6], [6], [5], [5], [5], [5], [6], [6], [6], [6], [], [5], [4, 4], [5], [5], [3, 5], [6], [4, 4], [6], [6], [3, 3], [3, 5], [5], [6], [6], [5]]
[[5], [6], [5], [6], [6], [6], [4, 4], [6], [4, 4], [3, 3], [6], [6], [5], [], [6], [5], [5], [4, 4], [6], [6], [3, 5], [5], [5], [6], [3, 5], [5], [], [5], [6], [4, 4], [5], [5], [6], [6], [5], [6], [5], [6]]
[[6], [5], [5], [5], [6], [5], [5], [6], [6], [5], [], [], [4, 4], [6], [6], [5], [4, 4], [6], [6], [6], [4, 4], [6], [3, 3], [5], [3, 3], [6], [6], [5], [6], [5], [6], [5], [4, 4], [5], [5], [6], [5], [6], [5]]
[[6], [3, 5], [6], [6], [5], [5], [5], [6], [4, 4], [6], [5], [], [4, 4], [], [6], [5], [6], [4, 4], [6], [6], [6], [], [3, 3], [5], [4, 4], [5], [], [5], [6], [5], [5], [5], [6], [6], [6], [6], [6], [5], [5], [3, 5]]
[[6], [5], [5], [3, 5], [5], [6], [5], [6], [5], [4, 4], [5], [6], [6], [], [5], [6], [], [6], [6], [5], [6], [], [], [], [5], [6], [3, 3], [5], [4, 4], [4, 4], [4, 4], [3, 5], [5], [6], [6], [6], [6], [5], [6], [5], [6]]
[[6], [5], [6], [5], [4, 4], [6], [5], [3, 5], [], [], [6], [6], [5], [4, 4], [], [], [6], [3, 5], [6], [6], [6], [5], [5], [5], [6], [], [6], [4, 4], [6], [], [5], [6], [5], [6], [4, 4], [6], [5], [3, 3], [5], [5], [6], [5]]
[[5], [5], [5], [5], [5], [5], [6], [5], [], [6], [4], [6], [6], [6], [6], [3, 3], [6], [5], [5], [], [5], [5], [6], [6], [4], [4], [5], [4], [4], [5], [6], [6], [6], [5], [6], [4], [4], [6], [6], [6], [4], [3, 3], [5]]
-EndAllocation

Instance: [[1], [214], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,43. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [], [5, 5]]
[[5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [3, 6, 6, 6, 6], [4, 6, 6, 6, 6], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 6, 6, 6], [5, 5, 5, 5, 5], [5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3, 4, 4], [5, 5, 5, 5, 5], [5, 6, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6, 6], [4, 5, 5, 5, 5], [6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3], [], [6, 6, 6, 6]]
[[5, 5, 5, 5], [5, 5, 5, 5], [4, 6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 3], [6, 6, 6], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [6, 6, 6], [4, 6, 6, 6], [4, 6, 6, 6]]
[[5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [6, 6, 6], [6, 6, 6], [], [5, 5, 5, 5], [3, 3, 3, 3]]
[[5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3], [], [], [4, 4, 4], [6, 6, 6], [], [6, 6, 6]]
[[5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [], [6, 6, 6], [], [3, 3, 3, 3, 6], [6, 6]]
[[5, 6, 6], [3, 3, 3, 3], [5, 6, 6], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [5, 6, 6], [4, 4, 4, 4], [], [6, 6], [4, 4, 4, 4], [6, 6], [6], [6, 6], [5, 6, 6]]
[[6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [6], [6, 6], [5], [6, 6], [4, 4, 4, 4], [], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [3, 3, 3, 3], [5, 5, 5]]
[[5, 5, 5], [], [4, 6, 6], [5, 5, 5], [4, 6, 6], [3, 3, 3, 3], [4, 6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [6, 6], [6], [5], [4, 6, 6], [6, 6], [], [], [5, 5, 5]]
[[5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [3, 3], [3, 3, 6], [4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [6, 6], [6, 6], [5, 5], [6, 6], [4], [6, 6], [3, 3, 3, 3], [5, 5], [6], [5, 5], [6, 6], [4, 5, 5]]
[[5, 5], [5, 5], [6], [3, 3, 3, 3], [4, 4, 4], [6, 6], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [4, 4, 4]]
[[5, 5], [5, 5], [5, 5], [6, 6], [], [], [6, 6], [5, 5], [6, 6], [4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [], [6], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [3, 3, 3, 3], [5, 5], [6, 6]]
[[5, 5], [5, 5], [5, 5], [6, 6], [], [6, 6], [], [5, 5], [], [4, 4, 4], [5, 6], [6, 6], [4, 4, 4], [4, 4], [6, 6], [], [5, 5], [6, 6], [6, 6], [5], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5]]
[[5, 5], [5, 5], [5, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [], [], [5, 5], [], [4, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [4, 4, 4], [5], [6, 6], [4, 6]]
[[5, 5], [5, 5], [5, 5], [], [6, 6], [6], [], [5, 5], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4], [], []]
[[6], [5, 5], [5, 5], [5, 5], [5, 5], [6], [6], [5, 5], [6], [3, 3, 3], [6], [6], [6], [4, 6], [6], [6], [4, 4], [4, 6], [6], [6], [3, 6], [5, 5], [5, 5], [6], [5, 5], [4, 4], [4, 4]]
[[5, 5], [5, 5], [5, 5], [6], [], [6], [6], [3, 3, 3], [4, 6], [5, 5], [5, 5], [], [4, 6], [5, 5], [4, 6], [3, 6], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [4, 6], [5, 5], [5, 5]]
[[5, 5], [5, 5], [5, 5], [3, 3, 3], [4, 4], [6], [6], [5, 5], [4, 4], [5, 5], [6], [], [6], [6], [5, 5], [6], [4, 6], [5, 5], [4, 6], [6], [3, 6], [], [6], [6], [6], [4, 4], [6], [5, 5], [6]]
[[6], [5, 5], [6], [5, 5], [5, 5], [4, 4], [4, 4], [6], [], [6], [], [6], [5, 5], [6], [4, 4], [4, 4], [3, 3, 3], [6], [5, 5], [6], [6], [6], [3, 6], [6], [6], [5, 5], [6], [6], [5, 5], [5, 5]]
[[4, 5], [4, 5], [4, 5], [6], [6], [6], [4, 5], [4, 5], [6], [3, 6], [6], [6], [6], [4, 5], [4, 5], [5], [5], [3, 6], [5], [6], [5], [6], [3, 5], [6], [6], [4, 5], [5], [6], [6], [5], [3, 5]]
[[6], [4, 5], [4, 5], [6], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5], [6], [5], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [5], [6], [6], [5], [5], [5], [5], [4, 5], [5], [6], [4, 5], [5], [6]]
[[4, 5], [4, 5], [3, 5], [3, 6], [6], [6], [6], [5], [6], [5], [6], [5], [6], [5], [6], [6], [6], [4, 5], [6], [5], [5], [3, 6], [5], [6], [6], [5], [5], [4, 4], [5], [4, 4], [5], [4, 5], [3, 6]]
[[5], [4, 5], [5], [6], [6], [4, 5], [5], [5], [5], [6], [6], [6], [6], [6], [6], [6], [4, 5], [5], [6], [6], [6], [4, 4], [6], [6], [3, 5], [5], [3, 3, 3], [4, 4], [5], [5], [6], [5], [5], [4, 5]]
[[3, 5], [4, 4], [5], [6], [6], [5], [5], [6], [5], [3, 5], [6], [6], [6], [4, 4], [6], [3, 6], [6], [5], [5], [6], [4, 5], [6], [5], [5], [], [5], [6], [6], [4, 5], [5], [6], [4, 4], [3, 6], [5], [5]]
[[6], [6], [5], [5], [6], [5], [4, 4], [3, 3], [4, 4], [6], [4, 4], [4, 4], [6], [6], [6], [6], [5], [6], [6], [5], [6], [6], [5], [5], [6], [5], [5], [5], [3, 5], [5], [5], [5], [6], [5], [3, 5], [6]]
[[5], [6], [5], [5], [3, 5], [6], [6], [4, 4], [6], [5], [6], [6], [5], [5], [5], [5], [6], [6], [5], [6], [5], [4, 4], [3, 5], [4, 4], [5], [5], [3, 3], [], [4, 4], [6], [6], [6], [5], [6], [6], [6], [5]]
[[6], [5], [5], [5], [5], [6], [6], [6], [4, 4], [3, 3], [6], [], [5], [5], [6], [5], [5], [4, 4], [6], [6], [6], [5], [5], [6], [3, 3], [5], [5], [5], [4, 4], [4, 4], [5], [6], [6], [6], [5], [6], [5], [6]]
[[5], [5], [5], [5], [5], [5], [5], [6], [6], [6], [6], [], [4, 4], [6], [5], [5], [4, 4], [6], [6], [6], [4, 4], [6], [3, 3], [], [3, 3], [6], [6], [5], [6], [5], [6], [5], [4, 4], [5], [6], [5], [5], [6], [5]]
[[6], [5], [6], [5], [5], [5], [3, 5], [6], [4, 4], [5], [6], [6], [4, 4], [], [6], [5], [5], [5], [6], [], [6], [6], [4, 4], [5], [6], [], [], [3, 3], [6], [5], [3, 5], [5], [6], [5], [6], [4, 4], [6], [6], [5], [5]]
[[6], [5], [5], [5], [4, 4], [5], [5], [5], [], [4, 4], [6], [6], [6], [5], [5], [6], [], [6], [5], [5], [6], [], [4, 4], [], [], [6], [3, 3], [5], [6], [5], [4, 4], [3, 5], [5], [6], [6], [6], [6], [5], [6], [3, 5], [6]]
[[6], [3, 5], [6], [5], [5], [6], [], [5], [], [], [6], [6], [5], [4, 4], [5], [], [6], [3, 5], [6], [6], [6], [5], [5], [5], [5], [], [6], [4, 4], [4, 4], [], [5], [6], [5], [6], [4, 4], [6], [6], [3, 3], [5], [5], [6], [5]]
[[5], [5], [5], [5], [5], [5], [6], [5], [], [6], [4], [6], [6], [6], [6], [3, 3], [6], [5], [5], [5], [5], [5], [6], [6], [4], [], [5], [4], [4], [5], [6], [3, 3], [6], [5], [6], [4], [6], [6], [6], [4], [4], [4], [5]]
-EndAllocation

Instance: [[1], [213], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,43. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,43:
-StartAllocation
[[2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 6, 6, 6, 6, 6], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[2, 6, 6, 6, 6, 6, 6], [3, 3, 3], [6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], []]
[[2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [], [3, 3, 3, 5, 5, 5, 5], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4]]
[[2, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [5, 6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [5, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [2], [6, 6, 6, 6], [], [5, 5, 5, 5, 5], [3, 3, 3, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[2, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 4, 4], [6, 6, 6, 6]]
[[2, 5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [], [6, 6, 6], [], [3, 3, 3, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [2, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 4, 4, 4], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [6, 6, 6], [], [5, 5, 5, 5], []]
[[2, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4], [6, 6, 6], [5], [5, 5, 5, 5], [6, 6, 6], [], [], [3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[2, 5, 5, 5], [5, 5, 5], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 5], [4, 4, 4, 4], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [5, 5, 5], [], [6, 6, 6], [6, 6, 6]]
[[2, 6, 6], [3, 3, 3, 6], [5, 5, 5], [5, 5, 5], [5, 6, 6], [5, 5, 5], [5, 5, 5], [5], [5, 6, 6], [4, 4, 4, 4], [], [6, 6], [4, 4, 4, 4], [6, 6], [], [6, 6], [5, 6, 6]]
[[2, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [], [6, 6], [5], [6, 6], [4, 4, 4, 4], [6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [3, 3, 3], [5, 5, 5]]
[[5, 5, 5], [5], [6, 6], [5, 5, 5], [6, 6], [3, 3, 3], [2, 6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [6, 6], [], [], [6, 6], [5, 5, 5], [6], [4, 4, 4, 4], [6, 6]]
[[2, 5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [4, 4, 4], [5, 5], [5, 6], [3, 3, 3], [], [6, 6], [4, 4, 4], [5, 6], [5, 5], [5, 5]]
[[2, 5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6], [6, 6], [6, 6], [5, 5], [6, 6], [], [6, 6], [3, 3, 3], [5, 5], [], [4, 5, 5], [6, 6], [4, 5, 5]]
[[2, 5, 5], [5, 5], [4, 4, 4], [3, 3, 3], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [6], [6, 6]]
[[2, 5, 5], [5, 5], [5, 5], [6, 6], [6], [], [6, 6], [4, 4], [6, 6], [4, 4, 4], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [], [5, 5], [5, 5], [6, 6], [3, 3, 3], [6, 6], [5, 5]]
[[2, 5, 5], [5, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4], [6, 6], [], [], [5, 5], [6, 6], [6], [5, 5], [6, 6], [3, 3, 3], [5, 5]]
[[2, 5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [], [4, 4, 4], [5, 5], [5, 5], [6, 6], [6], [], [5, 5], [], [4, 4, 4], [6, 6], [], [5, 5], [3, 3, 3], [], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6]]
[[2, 5, 5], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [], [6, 6], [5, 5], [], [4, 4], [5, 5], [], [4, 4, 4], [3, 3, 3], [6, 6], [5, 5], [6, 6], [], [5, 5], [5, 5], [6, 6], [6, 6], [], [], [6]]
[[2, 5], [5, 5], [5, 5], [6], [5, 5], [3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [6], [4, 6], [4, 4], [4, 6], [6], [6], [5, 5], [5, 5], [4, 6], [5, 5], [4, 4], [4, 5]]
[[5, 5], [5, 5], [5, 5], [], [6], [6], [6], [3, 6], [4, 6], [5, 5], [5, 5], [6], [6], [4, 4], [5, 5], [3, 3], [4, 6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [5, 5], [5, 5], [2, 6]]
[[5, 5], [5, 5], [5, 5], [3, 3, 3], [4, 4], [6], [6], [5, 5], [6], [5, 5], [6], [], [6], [6], [5, 5], [5, 5], [6], [5, 5], [4, 4], [4, 4], [6], [], [6], [6], [6], [4, 6], [6], [2, 6], [4, 6]]
[[5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [6], [4, 4], [6], [], [5, 5], [6], [6], [5, 5], [6], [], [], [4, 4], [6], [6], [6], [6], [4, 4], [4, 6], [6], [6], [6], [2, 6], [3, 3, 3], [5, 5], [4, 6]]
[[4, 5], [4, 5], [4, 5], [3, 6], [6], [6], [4, 5], [6], [3, 5], [6], [6], [6], [6], [5], [6], [5], [5], [4, 5], [5], [5], [6], [5], [6], [4, 5], [4, 5], [5], [6], [6], [4, 5], [3, 6], [2, 6]]
[[4, 5], [6], [4, 5], [6], [5], [5], [5], [6], [6], [5], [6], [6], [6], [5], [5], [5], [5], [6], [4, 5], [4, 5], [3, 3, 3], [6], [6], [4, 5], [6], [6], [4, 5], [4, 5], [6], [6], [2, 6], [4, 5]]
[[4, 5], [6], [4, 5], [4, 5], [4, 5], [6], [6], [6], [6], [3, 3, 3], [5], [5], [6], [5], [5], [5], [5], [4, 4], [5], [6], [5], [5], [6], [6], [5], [6], [6], [6], [6], [6], [4, 5], [2, 6], [4, 5]]
[[2, 5], [4, 5], [4, 5], [6], [6], [5], [5], [5], [6], [6], [5], [6], [5], [4, 5], [4, 5], [3, 5], [4, 4], [5], [6], [3, 6], [5], [6], [5], [], [6], [6], [5], [4, 4], [6], [6], [6], [3, 5], [6], [6]]
[[2, 5], [4, 5], [4, 5], [6], [6], [4, 5], [6], [5], [5], [3, 5], [5], [6], [6], [4, 5], [6], [3, 5], [], [5], [6], [6], [4, 4], [6], [6], [5], [6], [6], [6], [5], [4, 4], [5], [6], [], [6], [5], [3, 5]]
[[2, 5], [6], [6], [6], [6], [6], [5], [5], [5], [5], [5], [6], [4, 4], [6], [6], [5], [3, 3], [6], [6], [5], [6], [6], [5], [4, 4], [4, 4], [5], [4, 4], [5], [3, 5], [5], [5], [6], [5], [5], [6], [6]]
[[3, 5], [5], [6], [5], [6], [5], [6], [4, 4], [6], [5], [6], [5], [], [5], [6], [5], [5], [6], [4, 4], [6], [5], [3, 5], [], [5], [5], [5], [3, 5], [6], [4, 4], [5], [6], [6], [4, 4], [6], [6], [6], [2, 6]]
[[2, 6], [6], [5], [3, 5], [6], [6], [5], [6], [4, 4], [3, 3], [6], [], [5], [], [6], [5], [5], [4, 4], [6], [5], [6], [5], [6], [4, 4], [6], [5], [5], [5], [5], [4, 4], [5], [6], [5], [6], [5], [6], [5], [6]]
[[2, 6], [5], [5], [4, 4], [5], [5], [6], [5], [6], [5], [6], [], [4, 4], [6], [6], [5], [5], [6], [5], [6], [4, 4], [6], [3, 3], [], [3], [6], [5], [5], [6], [5], [6], [5], [4, 4], [5], [6], [6], [5], [6], [5]]
[[2, 6], [5], [5], [6], [6], [5], [5], [6], [4, 4], [6], [6], [], [4, 4], [], [6], [6], [6], [6], [5], [3, 3], [5], [5], [5], [4, 4], [5], [3], [], [4, 4], [5], [5], [6], [6], [5], [5], [5], [6], [5], [6], [5], [6]]
[[2, 6], [5], [5], [4, 4], [3, 5], [5], [4, 4], [5], [5], [6], [5], [5], [6], [6], [6], [5], [], [6], [6], [5], [6], [6], [4, 4], [], [], [6], [3, 3], [], [6], [], [4, 4], [5], [5], [6], [6], [6], [6], [5], [5], [5], [5]]
[[2, 6], [3, 5], [6], [5], [6], [6], [], [5], [5], [], [6], [6], [4, 4], [4, 4], [5], [], [5], [5], [6], [], [6], [5], [5], [5], [5], [], [6], [4, 4], [6], [5], [], [6], [5], [6], [4, 4], [5], [6], [3, 3], [5], [5], [6], [6]]
[[5], [5], [5], [5], [5], [5], [5], [5], [], [6], [4], [6], [6], [6], [6], [3, 3], [6], [5], [5], [4], [5], [5], [6], [6], [4], [], [5], [4], [2, 4], [5], [6], [3], [6], [5], [6], [4], [6], [6], [6], [6], [4], [4], [5]]
-EndAllocation

Instance: [[1], [212], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,43. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6]]
[[6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4], [5, 6, 6, 6, 6, 6, 6, 6], [3, 5, 5, 5, 5, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 5, 6], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5]]
[[], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [4], [4, 4, 4, 5, 6], [6, 6, 6, 6, 6], [4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 4, 6, 6, 6]]
[[], [5, 5, 5, 5], [5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 6, 6], [6, 6, 6, 6], [6], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 6, 6, 6], [6, 6, 6, 6]]
[[], [5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 6], [3, 3, 3, 6, 6], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [4, 5, 5, 5, 5], [6, 6, 6, 6], [6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 5], [3, 3, 3, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 6, 6], [4, 4, 6, 6], [], [4, 4, 4, 4, 5]]
[[], [5, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [3, 3, 3], [6, 6, 6], [4, 6], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6]]
[[], [], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4], [], [3, 3, 3, 5, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [5, 5, 5], [6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 6], [6, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [5, 6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6], [6, 6], [6, 6], [4, 4, 4, 4], [3, 3, 3, 5], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5]]
[[], [3, 3, 3, 4], [4, 4, 5], [4, 6], [4, 6, 6], [4, 6, 6], [4, 4, 4, 4], [5, 5, 5], [], [4, 6, 6], [4, 6, 6], [4, 6, 6], [4, 5, 6], [6, 6], [], [4, 6, 6], [4, 6, 6], [6]]
[[], [4, 4, 4, 4], [4, 4, 5], [6, 6], [], [6], [4, 6, 6], [6, 6], [6, 6], [5, 5, 5], [4, 6, 6], [6, 6], [5, 6], [], [6, 6], [6, 6], [3, 3, 3, 6], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [6, 6], [6, 6], [6, 6], [], [4, 4, 4], [4, 5], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [4, 4, 6], [6, 6], [4, 5, 5], [4, 4, 4], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [4, 4, 4], [4, 4], [], [4, 4, 4], [4, 5, 5], [6, 6], [5, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6], [6, 6], [3, 3, 3], [4, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [], [4, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 4], [6, 6], [4, 4, 5], [], [4, 4, 4]]
[[], [3, 3, 3], [6], [6, 6], [6, 6], [6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 6], [], [5, 5], [6, 6], [4, 4, 4], [4], [], [4, 4, 4], [6, 6]]
[[], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], [], [3, 3, 3], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 6], [5], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4], [6, 6], [5, 5], [6, 6], [], [], [4, 4, 4], [4, 4, 4], [6, 6], [3, 3, 3], [], [4, 4, 4], [6], [5, 5], [5], [4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[], [], [], [3, 3, 3], [5, 5], [4, 4, 4], [6, 6], [4, 6], [6, 6], [5], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [4, 4, 4]]
[[6], [4, 4], [5], [6], [4, 6], [4, 6], [6], [6], [4, 6], [6], [6], [4, 6], [5, 5], [6], [6], [4, 6], [4, 6], [4, 4], [4, 4], [4, 6], [4, 6], [6], [5, 5], [6], [4, 4], [6], [3, 3, 3]]
[[6], [4, 4], [6], [4, 4], [4, 6], [6], [6], [6], [4, 6], [6], [6], [6], [4, 4], [3, 3, 3], [6], [5, 5], [6], [4, 6], [6], [4, 6], [4, 4], [4, 4], [4, 6], [6], [6], [4, 5], [6], [5, 5]]
[[6], [4, 4], [6], [6], [3, 6], [4, 4], [6], [5, 5], [6], [4, 4], [6], [6], [5], [4, 6], [6], [6], [4, 6], [6], [6], [6], [5, 5], [6], [4, 4], [4, 4], [4, 6], [6], [6], [3, 3, 4], [4, 4]]
[[6], [5, 5], [4, 4], [4, 4], [6], [6], [6], [4, 4], [6], [4, 6], [4, 4], [6], [6], [6], [6], [4, 6], [4, 6], [6], [4, 4], [3, 3, 3], [6], [6], [6], [], [4, 5], [4, 4], [6], [5, 5], [6], [6]]
[[6], [6], [4, 4], [6], [6], [6], [6], [4, 5], [4, 4], [6], [6], [5], [6], [4, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [4, 4], [4, 5], [4, 5], [6], [6], [4, 5], [4, 4], [4, 4], [6]]
[[6], [6], [5], [4, 4], [4, 5], [6], [3, 3, 3], [4, 5], [4, 4], [6], [4, 4], [6], [6], [6], [6], [4], [6], [4, 5], [6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [5], [6], [6], [6], [6]]
[[5], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [4, 4], [5], [6], [3, 3, 3], [5], [6], [4, 4], [6], [6], [5], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [4, 4]]
[[5], [4, 4], [6], [6], [6], [4, 4], [6], [6], [6], [], [6], [4, 4], [6], [], [6], [6], [4], [6], [4, 4], [4, 5], [6], [6], [6], [4, 4], [4, 4], [3, 3, 3], [6], [6], [6], [6], [4, 5], [6], [5], [4, 5]]
[[6], [6], [6], [6], [6], [5], [4, 4], [6], [3, 3, 3], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [5], [6], [6], [5], [4, 4], [4, 4], [5], [], [6], [6], [4, 5], [6], [6], [6], [6], [4], [6], []]
[[6], [6], [6], [5], [6], [4, 4], [5], [6], [], [6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [5], [3, 3], [], [6], [4], [6], [4, 4], [4, 4], [6], [6], [3, 4], [6], [4, 4], [6], [6], [5], [4, 4], [5], [6]]
[[], [6], [6], [5], [6], [4, 4], [4, 4], [3], [], [6], [6], [5], [5], [6], [6], [6], [5], [6], [], [6], [6], [6], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [3, 3], [6], [6], [5], [4, 4], [6], [6], [4, 4], [6]]
[[6], [4, 4], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [4, 4], [3], [], [5], [], [6], [6], [5], [6], [6], [6], [4, 4], [6], [], [6], [4, 4], [5], [4, 4], [6], [6], [6], [], [5], [4, 4], [6], [4, 4], [6], [5]]
[[6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [3], [6], [], [5], [4, 4], [6], [5], [5], [6], [], [], [6], [], [6], [6], [4, 4], [3, 3], [6], [6], [6], [], [5]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [4, 4], [5], [], [6], [], [5], [], [4, 4], [], [4, 4], [6], [6], [6], [6], [6], [4, 4], [4, 4], [6], [5], [5], [4], [6], [4, 4], [], [6], [], [3, 4], [4, 4], [5], [6], [6]]
[[], [4, 4], [4, 4], [4, 4], [5], [6], [6], [6], [], [6], [4, 4], [6], [6], [5], [5], [6], [6], [6], [4, 4], [6], [5], [], [6], [4, 4], [3], [6], [6], [], [6], [4, 4], [6], [3, 3], [4, 4], [], [], [6], [6], [5], [], [6], [6]]
[[], [4, 4], [], [5], [4, 4], [6], [], [], [5], [5], [6], [6], [6], [4, 4], [6], [3, 3], [5], [], [6], [6], [6], [6], [6], [6], [], [6], [6], [4], [6], [6], [4, 4], [4, 4], [3, 4], [6], [5], [], [6], [6], [6], [4, 4], [4, 4], []]
[[4], [6], [6], [6], [4], [5], [4], [6], [4], [6], [4], [5], [5], [5], [6], [4], [5], [6], [6], [4], [6], [4], [4], [4], [3, 3], [6], [6], [4], [6], [4], [4], [4], [6], [4], [6], [6], [6], [6], [4], [3], [6], [6], []]
-EndAllocation

Instance: [[1], [211], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,43. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [5, 5]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [3, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [], [], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 6]]
[[], [], [5, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[6], [5, 5, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6]]
[[], [6], [6, 6], [3, 3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [3, 3, 3, 3], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3], [], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [], [], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3]]
[[], [], [], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [5, 5]]
[[6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [5, 5], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 3, 3], [6]]
[[6], [5, 5], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 5], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [5], [3, 3, 3], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[5], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 6], [], [6], [6], [], [], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [5], [6], [6], [3, 5]]
[[6], [6], [6], [6], [6], [5], [6], [6], [3, 3, 3], [], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [5], [6], [5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [3, 3], [3, 3], [3, 3], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3, 3], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3], [6], [5], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [5], [6], [6], [], [3, 3], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [], [6], [6], [3, 3], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [5], [6], [6], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [3], [3, 3]]
[[], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [6], [], [3, 3], [3, 5], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [], [], [3, 3], [6], [6], [6], [], [6], [6]]
[[6], [], [6], [3, 5], [6], [6], [3, 3], [], [6], [5], [6], [6], [6], [6], [3, 3], [3, 3], [], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], []]
[[6], [6], [6], [6], [], [5], [6], [3, 3], [], [6], [], [5], [3, 3], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [3], [], [6], [3, 3], [6], [3, 3], [6], [6], []]
-EndAllocation

Instance: [[1], [220], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,44. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5]]
[[6], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 6, 6], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5]]
[[], [4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 5, 5], [6], [4, 4, 4, 4, 4, 6, 6], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 6, 6]]
[[], [6, 6, 6, 6], [6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6], [5, 5, 5, 5], [4, 4, 6, 6]]
[[], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4], [], [6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4]]
[[], [6, 6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 5, 5], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6], [4, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [4, 6, 6], [6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[], [5, 5, 5], [6, 6], [6], [6, 6], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [4, 4, 4, 4], [], [5, 5, 6], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [5, 5, 5]]
[[], [4, 4, 6], [6, 6], [6, 6], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [5, 5], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 6], [5, 5], [5, 5], [6], [6, 6], [6, 6], [4, 4, 4]]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4]]
[[], [6, 6], [5, 5], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [], [], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [], [5, 5], [6, 6], [6, 6]]
[[], [5, 5], [4, 4, 4], [], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [], [], [5, 5], [6, 6]]
[[], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [6, 6], [], [6, 6], [6, 6], [5, 5], [4, 4, 4], [], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], []]
[[], [4, 4, 4], [4, 4, 4], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [], [5, 5], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [4, 4, 4], [], [], [], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [4, 4, 4], [], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [], []]
[[6], [6], [4, 4], [4, 6], [6], [4, 6], [6], [4, 4], [6], [4, 4], [4, 6], [4, 4], [4, 6], [4, 6], [5, 5], [5, 5], [4, 4], [6], [6], [6], [5, 5], [5, 5], [6], [4, 4], [6], [4, 6], [6], [6]]
[[6], [5, 5], [6], [6], [5, 5], [4, 6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [5, 5], [6], [4, 4], [5, 5], [4, 4], [4, 4], [6], [6], [6], [4, 6], [4, 6], [4, 6], [6], [4, 4], [4, 4], [6]]
[[6], [4, 4], [6], [4, 6], [4, 4], [6], [5, 5], [6], [5, 5], [4, 4], [4, 6], [5, 5], [], [4, 4], [4, 4], [6], [6], [6], [6], [4, 6], [4, 6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [6], [5, 5]]
[[6], [4, 4], [6], [5, 5], [6], [6], [6], [5, 5], [4, 4], [6], [6], [6], [6], [6], [5, 5], [4, 4], [4, 4], [4, 4], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [5, 5], [4, 4], [6]]
[[6], [6], [6], [4, 5], [4, 4], [4, 5], [6], [6], [4, 4], [5], [5], [4, 5], [4, 5], [6], [6], [6], [6], [4, 4], [6], [6], [6], [4, 4], [4, 4], [6], [4, 4], [4, 5], [6], [6], [6], [6], [6], [4, 5]]
[[5], [4, 4], [6], [6], [6], [4, 5], [4, 4], [6], [6], [6], [6], [6], [6], [4, 5], [6], [6], [6], [4, 4], [6], [4, 4], [5], [4, 5], [4, 5], [6], [5], [6], [6], [4, 4], [6], [4, 4], [4, 4], [6], [5]]
[[5], [6], [5], [4, 5], [6], [6], [6], [5], [6], [6], [6], [6], [4, 4], [4, 4], [6], [5], [4, 4], [4, 4], [6], [4, 5], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [6], [6], [6], [4, 4], [5], [4, 4]]
[[6], [4, 4], [4, 4], [6], [6], [4, 4], [6], [4, 4], [5], [6], [4, 4], [4, 5], [4, 5], [6], [6], [5], [], [5], [6], [4, 4], [6], [5], [5], [5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6]]
[[5], [6], [], [], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4, 4], [6], [6], [5], [6], [4, 5], [6], [4, 4], [6], [6], [6], [5], [6], [6], [5], [5], [4, 4], [4, 5], [6], [4, 4], [6], [4, 4], [5], [6], [6], [6]]
[[6], [5], [4, 4], [5], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [5], [5], [4, 4], [6], [5], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [4, 4], [6], [4, 4], [5], [6], [], [6], [4, 4], [], [6], [6], [5]]
[[5], [6], [6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [6], [4, 4], [5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [], [4, 4], [5], [], [6], [5], [6], [6], [5], [6], [6], [5], []]
[[6], [4, 4], [5], [5], [], [4, 4], [6], [4, 4], [6], [], [6], [6], [], [5], [4, 4], [6], [5], [4, 4], [6], [6], [6], [6], [6], [6], [4, 4], [5], [6], [6], [5], [6], [4, 4], [], [5], [4, 4], [6], [6], [4, 4], [5], [6]]
[[6], [4, 4], [], [4, 4], [5], [4, 4], [5], [5], [5], [4, 4], [6], [6], [5], [5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [], [6], [6], [4, 4], [6], [4, 4], [6], [5], [6], [], [], [], [5], [6], [6], [4, 4], [4, 4]]
[[6], [5], [4, 4], [], [6], [], [6], [5], [6], [6], [6], [], [4, 4], [4, 4], [6], [6], [5], [5], [], [4, 4], [6], [4, 4], [5], [6], [6], [6], [6], [5], [5], [], [], [4, 4], [6], [4, 4], [4, 4], [6], [5], [6], [6], [4, 4], [6]]
[[5], [6], [6], [5], [4, 4], [], [6], [6], [4, 4], [6], [4, 4], [6], [], [4, 4], [4, 4], [6], [6], [5], [], [6], [6], [5], [4, 4], [5], [6], [6], [], [5], [], [5], [5], [6], [4, 4], [6], [6], [4, 4], [6], [], [6], [6], [4, 4], []]
[[5], [6], [6], [], [], [5], [6], [6], [5], [], [6], [5], [6], [5], [], [4, 4], [5], [4, 4], [6], [4, 4], [], [6], [], [4, 4], [6], [6], [6], [], [4, 4], [6], [6], [4, 4], [6], [6], [6], [5], [4, 4], [5], [4, 4], [6], [4, 4], [], [6]]
[[4], [6], [4], [4], [6], [4], [4], [4], [5], [6], [4], [4], [5], [6], [6], [4], [4], [5], [5], [4], [6], [6], [6], [6], [6], [4], [6], [5], [5], [6], [4], [6], [4], [4], [5], [6], [6], [6], [6], [4], [4], [5], [6], [4]]
-EndAllocation

Instance: [[1], [219], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,44. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 4, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6]]
[[], [6, 6, 6, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5, 5, 6], [4, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6]]
[[], [4], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [5, 5, 5], [5, 6, 6], [6], [3], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [5, 6, 6], [5, 5, 5], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6], [6, 6]]
[[], [5, 5, 5], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6], [5, 6, 6]]
[[], [6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 6], [3, 3, 3, 3, 3]]
[[6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6]]
[[], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [6], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [3, 4, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 5, 5], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [5, 5], [6, 6], [6, 6]]
[[], [3, 5, 5], [6, 6], [], [3, 3, 3], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [], [6, 6], [3, 5, 5], [6, 6], [4, 6], [6, 6], [], [3, 3, 3, 3], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6], [], [3, 6], [], [5, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [4, 5], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6]]
[[], [6, 6], [6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 4], [], [], [6, 6], [6], [], [], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [4, 6], [], [6, 6], [6, 6], [], [6], [5, 5], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], []]
[[6], [3, 6], [4, 6], [5, 5], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6]]
[[6], [5, 5], [6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [4, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [5, 5], [6], [3, 6], [3, 6], [6], [5, 5], [6], [3, 6], [4, 6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [5, 5], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [5, 5], [4, 6], [6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 5], [6], [6], [6], [3, 6], [3, 6], [4], [6], [3, 6], [5], [3, 6], [3, 6], [6], [6], [5], [6], [6], [3, 6], [6], [6], [3, 5]]
[[5], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 6], [3, 6], [3, 6], [5], [3, 3, 3], [5], [3, 6], [3, 6], [6], [6], [6], [6], [4], [6], [6], [3, 6]]
[[5], [6], [5], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 6], [3, 5], [6], [3, 6], [6], [6], [6], [6], [5], [4], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [6], [5], [4, 5], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [5], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6]]
[[5], [6], [6], [], [6], [6], [6], [3, 4], [6], [3, 3, 3], [6], [6], [6], [5], [6], [3, 5], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [5], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [4], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [5]]
[[6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [3, 5], [6], [3, 3], [4], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [6], [5], [6], [6], [5], [6], [6], [6], []]
[[6], [4], [5], [3, 5], [], [3, 3], [6], [3, 3], [3, 3], [], [3, 3], [6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [], [6], [5], [6], [6], [3, 3], [6], [6], [5], [5], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [3], [6], [6], [4], [6], [6], [6], [5], [6], [], [3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [3, 5], [], [], [6], [6], [5], [6], [6], [6], [6], [5], [3, 3], [6], [], [6], [6], [3, 3], [4], [6], [5], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [5], [6], [], [6], [6], [3, 4], [6], [6], [6], [], [6], [6], [3, 3], [6], [5], [], [6], [3, 3], [5], [3, 3], [6], [6], [6], [3, 3], [6], [], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], []]
[[], [6], [6], [3, 3], [], [], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [5], [6], [6], [6], [6], [6], [], [5], [6], [6], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [3, 4], [5], [3], [6], [6], [], [6]]
[[4], [6], [3, 3], [], [6], [3], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [], [5], [5], [6], [6], [6], [], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [5], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [], [], [6], [6]]
-EndAllocation

Instance: [[1], [218], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,44. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[6], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 6], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5]]
[[], [4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 5, 5], [6], [4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 6]]
[[], [6, 6, 6, 6], [6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 6], [6, 6, 6, 6], [4, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6], [5, 5, 5, 5], [4, 4, 4, 6]]
[[], [], [6, 6, 6], [6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6]]
[[], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [], [6, 6, 6], [5, 5, 5, 5], [], [4, 4, 4, 4, 4], [6, 6], [4, 4, 4, 4, 4]]
[[], [6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 5, 5], [4], [4, 4, 4, 4], [], [4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6], [6, 6], [4, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [4, 6, 6], [4, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[], [5, 5, 5], [6, 6], [4], [6, 6], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [4, 4, 4, 4], [], [5, 5, 6], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [5, 5, 5]]
[[], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 5, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[], [4, 5, 5], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [6], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [5, 5], [6], [6, 6], [6, 6], [4, 4, 4]]
[[], [6, 6], [4, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4]]
[[], [6, 6], [5, 5], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [6], [4, 4, 4], [4, 4, 4], [], [4], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [], [5, 5], [6, 6], [6, 6]]
[[], [5, 5], [4, 4, 4], [], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [], [4, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [], [], [5, 5], [6, 6]]
[[], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [6, 6], [], [6, 6], [5, 6], [4, 5], [4, 4, 4], [], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], []]
[[], [4, 4, 4], [4, 4, 4], [], [6, 6], [6, 6], [4, 6], [4, 4, 4], [4, 4, 4], [], [5, 5], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [4, 4, 4], [], [], [], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [4, 6], [5, 5], [], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [4, 4, 4], [], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [], []]
[[6], [5, 5], [4, 4], [4, 6], [6], [4, 6], [6], [4, 4], [6], [4, 4], [4, 6], [4, 4], [4, 6], [6], [6], [5, 5], [4, 4], [6], [6], [6], [5, 5], [5, 5], [6], [4, 4], [4, 4], [4, 6], [6], [6]]
[[6], [5, 5], [6], [6], [5, 5], [4, 6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [5, 5], [6], [4, 4], [5, 5], [4, 4], [4, 4], [6], [6], [6], [4, 6], [4, 6], [4, 4], [6], [4, 4], [4, 4], [6]]
[[], [4, 4], [6], [4, 6], [4, 4], [6], [5, 5], [6], [5, 5], [4, 4], [4, 6], [5, 5], [], [4, 4], [4, 4], [6], [4, 6], [6], [6], [4, 6], [4, 6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [6], [5, 5]]
[[6], [4, 4], [6], [5, 5], [6], [6], [], [5, 5], [4, 4], [6], [4, 6], [6], [6], [6], [5, 5], [4, 4], [4, 4], [4, 4], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [5, 5], [4, 4], [6]]
[[6], [6], [6], [4, 5], [4, 4], [4, 5], [6], [4, 4], [4, 4], [5], [5], [4, 5], [5], [6], [6], [6], [6], [4, 4], [6], [6], [6], [4, 4], [4, 4], [6], [4, 4], [4, 5], [6], [6], [6], [6], [6], [4, 5]]
[[5], [4, 4], [6], [6], [6], [4, 5], [4, 4], [6], [4, 4], [6], [6], [6], [6], [4, 5], [6], [6], [6], [4, 4], [6], [4, 4], [5], [5], [4, 5], [6], [5], [6], [6], [4, 4], [6], [4, 4], [4, 4], [6], [5]]
[[5], [6], [5], [4, 4], [6], [5], [6], [5], [6], [6], [6], [6], [4, 4], [4, 4], [6], [5], [4, 4], [4, 4], [6], [4, 5], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [6], [6], [6], [4, 4], [5], [4, 4]]
[[6], [4, 4], [4, 4], [6], [6], [4, 4], [6], [4, 4], [5], [6], [4, 4], [4, 5], [4, 5], [6], [6], [5], [], [5], [6], [4, 4], [6], [5], [5], [5], [6], [6], [6], [6], [6], [4], [6], [4, 4], [6], [4, 4], [6]]
[[5], [6], [], [], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4, 4], [6], [6], [5], [6], [4, 5], [6], [4, 4], [6], [6], [6], [5], [6], [6], [5], [5], [4, 4], [4, 5], [6], [4, 4], [6], [4, 4], [5], [4], [6], [6]]
[[6], [5], [4, 4], [5], [4], [5], [6], [6], [6], [6], [6], [6], [6], [6], [5], [5], [4, 4], [6], [5], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [4, 4], [6], [4, 4], [5], [6], [], [6], [4, 4], [], [6], [6], [5]]
[[5], [4], [6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [6], [4, 4], [5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [], [4, 4], [5], [], [6], [5], [6], [6], [5], [6], [6], [5], []]
[[], [4, 4], [5], [5], [], [4, 4], [6], [4, 4], [6], [], [6], [6], [], [5], [4, 4], [6], [5], [4, 4], [6], [6], [6], [6], [6], [6], [4, 4], [5], [6], [6], [5], [6], [4, 4], [4], [5], [4, 4], [6], [6], [4, 4], [5], [6]]
[[6], [4, 4], [], [4, 4], [5], [4, 4], [5], [5], [5], [4, 4], [6], [6], [5], [5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [], [6], [6], [4, 4], [4], [4, 4], [6], [5], [6], [], [], [], [5], [6], [6], [4, 4], [4, 4]]
[[6], [5], [4, 4], [], [6], [], [6], [5], [6], [6], [6], [], [4, 4], [4, 4], [6], [6], [5], [5], [4], [4, 4], [], [4, 4], [5], [6], [6], [6], [6], [5], [5], [], [], [4, 4], [6], [4, 4], [4, 4], [6], [5], [6], [6], [4, 4], [6]]
[[5], [6], [6], [5], [4, 4], [], [6], [6], [4, 4], [6], [4, 4], [6], [4], [4, 4], [4, 4], [6], [6], [5], [], [6], [6], [5], [4, 4], [5], [], [6], [], [5], [], [5], [5], [6], [4, 4], [6], [6], [4, 4], [6], [], [6], [6], [4, 4], []]
[[5], [6], [6], [], [], [5], [6], [6], [5], [4], [6], [5], [6], [5], [], [4, 4], [5], [4, 4], [], [4, 4], [], [6], [], [4, 4], [6], [6], [6], [], [4, 4], [6], [6], [4, 4], [6], [6], [6], [5], [4, 4], [5], [4, 4], [6], [4, 4], [], [6]]
[[4], [6], [4], [4], [6], [4], [4], [4], [5], [6], [4], [4], [5], [6], [6], [4], [4], [5], [5], [4], [6], [6], [4], [6], [6], [4], [6], [5], [5], [6], [4], [6], [4], [4], [5], [6], [6], [6], [6], [4], [4], [5], [6], [4]]
-EndAllocation

Instance: [[1], [217], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,44. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,44:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 6, 6, 6], [6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6], [5, 5, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 5, 5, 6, 6], [6], [6, 6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [5, 5, 6], [6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [3, 3, 3, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [3, 3, 5, 5]]
[[6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [3, 3, 5, 5], [6, 6], [3, 6, 6], [6, 6]]
[[], [3, 6, 6], [6, 6], [3, 6, 6], [6], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6], [6, 6]]
[[], [], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3], [], [6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 5, 5], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3], [], [6, 6], [], [3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [5, 5], [], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3], [3, 3, 3, 3], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3], [6, 6], [6], [], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [5, 5], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [5, 5]]
[[6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 5], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [5], [6], [6], [3, 6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [5], [3, 6], [3, 3, 3], [3, 5], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [5], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [3, 3, 3], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [5], [], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [6], [6]]
[[6], [3, 3, 3], [6], [6], [6], [], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3], [3, 3, 3], [6], [6], [6], [6], [5], [6], [3, 3, 3], [6], [], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [5], [6], [], [6], [6], [3, 5], [3, 3], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6], [3, 3], [3, 5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [3, 3], [6], [3, 3], [6], [3, 5], [], [6], [6]]
[[5], [3, 3], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 5], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [], [6], [6], [], [6], [], [6], [], [3, 3], [6], [6], [6], [5], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [], [], [6], [6], [3, 5], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 5], [3, 3], [6], [], [6], [3, 3], [], [6], [6]]
[[6], [3, 3], [6], [6], [6], [6], [6], [6], [], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [6], [3], [], [6], [6], [3, 3], [5], [6], [], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6]]
[[6], [], [6], [6], [5], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [3, 5], [], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [3, 3], [3, 3]]
[[6], [3, 3], [6], [6], [], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [], [6], [6], [6], [], [], [6], [6], [6], [6], [3, 3], [6], [], [6], [6], [6], [6], [5], [6], [], [6], [6], [3], [6], [6], [5]]
-EndAllocation

Instance: [[1], [216], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,44. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,44:
-StartAllocation
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6]]
[[3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], []]
[[3, 3, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6], [], [6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 5, 5, 5, 5, 5, 5, 5], [5, 6, 6, 6, 6, 6, 6]]
[[3, 6, 6, 6, 6, 6], [5], [], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5]]
[[3, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [], [3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[3, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4], [6, 6, 6, 6], [], [3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 6, 6, 6]]
[[5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4], [3, 3, 3, 3], [5, 5, 5, 5, 5], [], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [3, 6, 6, 6]]
[[3, 5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [5, 5, 5, 6], [6, 6, 6, 6], [4, 4, 4], [5, 5, 5, 5], [], [4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6]]
[[3, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 4, 4], [], [6, 6, 6], [6, 6, 6], [], [4, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 6, 6, 6]]
[[3, 5, 5, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 6, 6], [3, 6, 6, 6], [4, 4, 4, 4, 4], [], [], [6, 6, 6], [], [5, 5, 5, 5], [4, 4, 4, 4, 5]]
[[3, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5], [4, 6], [6, 6, 6], [4, 4, 4, 4, 4], [], [4, 4, 4, 5], [3, 3, 3, 3, 5], [6, 6, 6], [], [5, 6, 6]]
[[3, 6, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [], [6, 6, 6], [6, 6, 6], [5, 5, 5], [4], [5, 5, 5], [3, 3, 3, 3], [6]]
[[3, 5, 6], [], [5, 6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 6, 6], [5, 6, 6]]
[[5, 5, 5], [6, 6], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [6], [6, 6], [6, 6], [], [5, 5, 5], [], [6, 6], [4, 4, 4, 4], [4, 6, 6], [4, 4, 4, 4], [3, 3, 3, 3, 3], [5, 5, 5]]
[[3, 5, 5], [3, 3, 3, 3], [4, 6, 6], [5, 5, 5], [4, 6, 6], [6, 6], [4, 6, 6], [5, 5, 5], [4, 4, 4, 4], [4, 6, 6], [5, 5, 5], [], [], [], [4, 6, 6], [6, 6], [], [5, 6], [5, 5, 5]]
[[3, 5, 5], [5, 5], [6, 6], [6, 6], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [5], [6, 6], [6, 6], [5, 5], [4, 4, 4], [], [4, 4, 4], [4, 5, 5], [6, 6], [4, 5, 5], [5, 5]]
[[3, 5, 5], [4, 5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [6], [4, 5], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 5, 5]]
[[3, 5, 5], [5, 5], [5, 5], [6, 6], [6, 6], [], [], [4, 4, 4], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [5, 6], [4, 4, 4]]
[[3, 5, 5], [5, 5], [5, 5], [5, 5], [], [], [5], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6]]
[[3, 5], [5, 5], [5, 5], [3, 3, 3, 3], [], [6, 6], [], [4, 4, 4], [], [5, 5], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 6], [6], [5, 6]]
[[3, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [], [4, 4, 4], [], [6, 6], [5, 5], [6, 6], [5], [], [], [3, 3, 3, 3], [5, 5], [5, 5], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 6]]
[[3, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [5], [], [5, 5], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4, 4], [6], [5, 5], [], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [], [], [5]]
[[3, 5], [5, 5], [5, 5], [6], [6], [5, 5], [6], [6], [4, 6], [4, 4], [4, 6], [6], [6], [4, 6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [5, 5], [5, 5], [5, 5], [5, 5], [6], [4, 4], [4, 4]]
[[5, 5], [5, 5], [5, 5], [6], [6], [6], [6], [6], [5, 5], [4, 6], [4, 6], [], [5, 5], [6], [5, 5], [4, 6], [3, 6], [4, 4], [5], [4, 4], [3, 6], [3, 6], [4, 4], [6], [], [3, 6], [5, 5], [3, 6]]
[[5, 5], [5, 5], [5, 5], [3, 3, 3], [4, 4], [6], [6], [6], [], [5], [6], [4, 4], [5, 5], [6], [6], [5, 5], [6], [5, 5], [4, 4], [4, 4], [6], [6], [6], [6], [6], [4, 6], [5, 5], [3, 6], [3, 6]]
[[3, 5], [5, 5], [5, 5], [6], [5, 5], [6], [6], [5], [5, 5], [4, 6], [5, 5], [], [], [6], [6], [6], [6], [4, 6], [3, 6], [4, 4], [3, 3, 3], [4, 4], [4, 6], [6], [6], [6], [6], [5], [5, 5], [4, 4]]
[[3, 6], [4, 5], [4, 5], [6], [4, 5], [6], [5], [5], [6], [6], [5], [5], [6], [5], [6], [3, 5], [6], [5], [6], [6], [6], [3, 6], [4, 4], [6], [5], [3, 6], [4, 5], [3, 6], [4, 5], [4, 5], [4, 5]]
[[4, 5], [6], [6], [5], [4, 5], [3, 5], [5], [5], [5], [3, 5], [6], [6], [6], [4, 4], [4, 4], [6], [6], [4, 5], [5], [6], [6], [6], [6], [5], [5], [6], [5], [3, 6], [4, 5], [4, 5], [3, 6], [3, 6]]
[[3, 6], [6], [5], [6], [6], [4, 5], [4, 4], [6], [5], [5], [6], [5], [6], [6], [6], [6], [6], [4, 5], [5], [5], [5], [6], [5], [3, 3, 3], [4, 4], [3, 6], [4, 5], [5], [5], [4, 5], [4, 5], [6], [6]]
[[3, 5], [4, 5], [5], [5], [6], [3, 5], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [5], [4, 4], [5], [5], [4, 5], [4, 4], [5], [5], [5], [3, 3, 3], [5], [4, 5]]
[[3, 5], [6], [5], [4, 5], [6], [6], [6], [4, 4], [6], [3, 5], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [], [5], [6], [4, 5], [5], [5], [5], [5], [6], [6], [5], [5], [6], [4, 4], [5], [6], [4, 5], [5]]
[[6], [6], [5], [6], [5], [5], [4, 4], [5], [4, 4], [6], [6], [5], [3, 3], [5], [6], [4, 4], [6], [6], [6], [5], [5], [5], [6], [6], [6], [5], [4, 4], [6], [5], [5], [6], [5], [3, 5], [3, 5], [3, 4], [6]]
[[3, 5], [6], [5], [5], [3, 5], [4, 4], [4, 4], [5], [6], [6], [5], [6], [6], [6], [6], [6], [5], [], [4, 4], [6], [], [3, 5], [4], [5], [6], [5], [3, 5], [6], [4, 4], [6], [5], [6], [5], [6], [6], [5], [3, 5]]
[[6], [6], [5], [5], [6], [5], [3, 3], [6], [4, 4], [3, 3], [6], [6], [5], [], [6], [5], [5], [4, 4], [6], [5], [6], [5], [5], [4, 4], [5], [5], [5], [4], [6], [4, 4], [5], [6], [6], [5], [6], [6], [6], [3, 5]]
[[6], [3, 5], [5], [6], [5], [6], [6], [6], [], [], [6], [6], [6], [3, 5], [3, 3], [6], [5], [], [6], [4, 4], [5], [5], [4, 4], [4], [5], [6], [5], [5], [4, 4], [5], [5], [5], [4, 4], [6], [5], [6], [3, 5], [6], [6]]
[[6], [5], [5], [5], [5], [5], [], [6], [6], [5], [5], [4, 4], [6], [6], [5], [4, 4], [6], [5], [6], [3, 3], [], [5], [5], [6], [6], [3, 3], [4], [4, 4], [4, 4], [], [6], [6], [6], [5], [5], [6], [5], [6], [6], [3, 5]]
[[3, 5], [3, 5], [5], [6], [3, 5], [5], [4, 4], [5], [], [6], [5], [5], [6], [4, 4], [5], [6], [], [4, 4], [6], [5], [6], [6], [], [6], [], [6], [3, 3], [], [6], [5], [4], [5], [5], [6], [6], [6], [6], [5], [6], [5], [4, 4]]
[[6], [3, 5], [3, 5], [5], [5], [4, 4], [], [6], [6], [], [], [5], [6], [5], [6], [], [6], [6], [], [6], [5], [5], [], [5], [6], [4, 4], [5], [4, 4], [6], [5], [4, 4], [6], [5], [5], [4], [6], [6], [3, 3], [5], [3, 5], [6], [6]]
[[3, 5], [5], [5], [6], [6], [6], [3, 5], [4, 4], [], [5], [6], [5], [], [6], [], [], [5], [], [4, 4], [], [5], [6], [4, 4], [5], [6], [4], [6], [], [6], [5], [6], [6], [4, 4], [5], [3, 5], [6], [5], [3, 3], [5], [6], [6], [6], [5]]
[[5], [5], [5], [5], [5], [5], [3], [6], [4], [4], [4], [4], [6], [5], [6], [6], [6], [6], [4], [5], [3, 3], [6], [4], [5], [5], [5], [6], [6], [5], [6], [3, 3], [4], [6], [4], [6], [5], [4], [], [6], [6], [5], [5], [6], []]
-EndAllocation

Instance: [[1], [225], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,45. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 4, 4, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5], [3, 3, 3, 4, 4]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 5, 5, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 5, 5]]
[[], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [6]]
[[], [4, 4, 5, 5], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 5, 5], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [5, 5, 6], [6, 6, 6], [4, 4, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [], [4, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], []]
[[6], [3, 3, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [3, 3, 3, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 3, 5, 5], [], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [4, 4], [3, 6], [], [6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [], [3, 6], [], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [], [5, 5], [4, 4]]
[[], [], [5, 5], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6], [6, 6], [4, 4], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [3, 3, 3, 3], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3], [], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [], [], [], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [5, 5], [6, 6], [3, 6], [6, 6], [6], [6, 6], [], [6, 6], [], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [], [6, 6], [4, 4], [6, 6]]
[[6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [5, 5], [6], [3, 6], [4, 6], [3, 6], [4, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [6], [6], [6], [5, 5], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [4, 4], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [5, 5], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 6], [3, 6], [5, 5], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [4, 4], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [3, 6], [6], [4, 4], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [5], [6], [6], [6], [5], [3, 3, 3], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6]]
[[6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [3, 6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [3, 6], [4, 4]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [5], [4, 4], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [3, 3, 3], [3, 3, 3], [], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [5], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [], [3, 3, 3], [], [6], [3, 5], [6], [6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6]]
[[5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [3, 3], [6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [5], [6], [6], [3, 3], [4, 4], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6]]
[[6], [5], [6], [], [3, 3], [], [6], [3], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [5]]
[[6], [6], [6], [5], [], [6], [6], [6], [3, 3], [3], [3, 3], [], [6], [6], [6], [6], [], [6], [4, 4], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5]]
[[6], [6], [3, 3], [], [3, 3], [6], [6], [6], [], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [3, 3], [3], [], [6], [5], [4, 4], [6], [6], [6], [6]]
[[], [6], [6], [6], [], [5], [6], [6], [6], [3], [6], [], [6], [5], [6], [6], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [4, 4], [3, 3], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6]]
[[5], [6], [6], [], [6], [4, 4], [5], [3, 3], [], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [], [6], [6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [6]]
[[6], [], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [3, 3], [6], [3], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [], [6], [6], [6], [6], [5], [4], [6], [], [6], [], [4], [6], [3, 3], [6]]
-EndAllocation

Instance: [[1], [224], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,45. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,45:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6]]
[[3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 6], [3, 3, 3, 3, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5], []]
[[6, 6], [], [3, 3, 3, 3, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 6], [3, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [4, 5], [], [3, 6, 6, 6, 6, 6], [3, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[6, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [], [4], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6]]
[[5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 6, 6, 6]]
[[4, 4, 4, 5, 6], [5, 6], [3, 3, 3, 3, 6, 6], [4, 6, 6, 6], [5, 5, 6, 6], [5, 5, 6, 6], [5, 5], [5, 5, 6, 6], [5, 5, 6, 6], [4, 4, 4, 4, 6], [6, 6], [6, 6]]
[[5, 5, 5, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [], [3, 3, 3, 3, 4, 4], [], [6, 6, 6, 6], [6, 6, 6, 6], [], [5, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5]]
[[4, 4, 5, 6], [5, 6], [5, 6, 6], [6, 6], [5, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 4, 4], [6, 6], [6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6], [6, 6], [4, 4, 6, 6]]
[[5, 5, 6], [5, 5, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [], [3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[5, 5, 6], [5, 5, 6], [5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [], [3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3], [6, 6, 6], [5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [], [6, 6, 6], [], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6]]
[[3, 6, 6], [5, 5, 6], [6, 6], [5, 6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [], [5, 5, 5], [], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [3, 3, 3, 6], [5, 5, 5]]
[[6], [6], [6, 6], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [5, 5, 5], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6]]
[[5, 5, 6], [6, 6], [5, 5, 6], [], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5], [4, 4, 4, 4], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[5, 6], [5, 6], [5, 6], [4, 4, 4], [6, 6], [6], [5], [3, 3, 3, 3], [6, 6], [], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [4, 5, 5], [6, 6], [4, 5, 5]]
[[6, 6], [3, 5, 6], [5, 6], [4, 5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [3, 3, 3, 4], [5, 5], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5], [], [4, 4, 4]]
[[5, 6], [5, 6], [5, 6], [6, 6], [], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 6]]
[[5, 6], [5, 6], [5, 6], [6, 6], [], [6, 6], [], [], [], [4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [5, 6]]
[[5, 6], [5, 6], [4, 6], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [], [5, 5], [5, 5], [6, 6], [6, 6], [4, 4, 4], [], [], [5, 5], [], [4, 5], [], [5, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6]]
[[5, 6], [5, 6], [4, 6], [6, 6], [5, 6], [6, 6], [], [5, 5], [6, 6], [], [5, 5], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4, 4], [6, 6], [4, 5], [], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [], [], []]
[[6, 6], [5, 6], [5, 6], [5, 5], [4, 4, 4], [], [6, 6], [6, 6], [], [], [6, 6], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [4, 4], [6, 6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [5, 5], [6], [4, 6], [6], [4, 6], [5, 5], [4, 6], [4, 6], [5, 5], [4, 6], [6], [4, 6], [5, 5], [6], [4, 4], [5, 5], [6], [6], [5, 5], [6]]
[[6], [6], [3, 6], [6], [6], [5, 5], [4, 6], [6], [5, 5], [6], [5, 5], [6], [4, 4], [4, 6], [6], [6], [6], [5, 5], [6], [3, 3, 3], [6], [6], [4, 4], [5, 5], [6], [4, 6], [6], [4, 6], [5, 5]]
[[6], [6], [6], [6], [4, 6], [6], [5, 5], [3, 6], [4, 4], [5, 5], [5, 5], [5, 5], [6], [6], [6], [6], [6], [6], [5, 5], [4, 6], [6], [4, 4], [6], [5, 5], [6], [6], [6], [3, 3, 3], [6], [4, 4]]
[[6], [6], [6], [4, 6], [6], [5, 5], [6], [6], [5, 5], [6], [6], [3, 6], [5, 5], [6], [5, 5], [6], [3, 6], [4, 4], [], [3, 6], [], [6], [4, 4], [3, 6], [6], [6], [5, 5], [4, 6], [5, 5], [6], [4, 4]]
[[3, 6], [3, 6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [5], [6], [6], [4, 5], [4, 5], [6], [4, 5], [4, 5], [6], [4, 5], [6], [6], [5], [5], [5], [6], [6], [3, 6], [4, 5], [6], [6], [3, 6]]
[[3, 6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [6], [4, 5], [4, 5], [6], [6], [4, 5], [5], [6], [6], [6], [5], [3, 6], [6], [5], [6], [5], [4, 4], [6], [5], [5], [3, 6], [3, 6], [4, 5]]
[[3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5], [5], [6], [6], [4, 4], [4, 5], [4, 4], [6], [6], [4, 5], [5], [5], [6], [6], [6], [6], [5], [5], [4, 5], [5], [3, 6], [5], [6], [6], [4, 5]]
[[3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [4, 4], [5], [5], [5], [5], [3, 5], [4, 4], [4, 5], [6], [5], [5], [6], [4, 5], [6], [6], [6], [6], [5], [6], [6], [4, 4], [6], [5], [3, 5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [5], [6], [6], [6], [4, 5], [5], [6], [6], [6], [3, 6], [6], [5], [6], [3, 3, 3], [5], [4, 4], [4, 4], [5], [4, 5], [4, 4], [6], [6], [5], [5], [6], [5], [6], [5]]
[[6], [6], [6], [6], [3, 6], [6], [3, 6], [4, 4], [6], [6], [6], [5], [6], [5], [5], [5], [6], [6], [3, 6], [5], [6], [4, 4], [], [4, 4], [5], [6], [4, 4], [5], [6], [5], [5], [5], [5], [3, 6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [5], [], [6], [6], [6], [3, 5], [6], [5], [6], [5], [6], [4, 4], [6], [5], [5], [4, 4], [3, 5], [4, 4], [5], [5], [6], [5], [5], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [5], [6], [4, 4], [3, 5], [], [6], [6], [4, 4], [3, 3], [6], [], [6], [4, 4], [5], [5], [4, 4], [6], [5], [6], [5], [6], [6], [6], [3, 5], [6], [5], [6], [5], [5], [5], [6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [4, 4], [6], [6], [5], [4, 4], [6], [6], [6], [3, 3], [6], [6], [5], [6], [], [6], [], [4, 4], [4, 4], [5], [5], [5], [5], [5], [5], [6], [5], [5], [5], [5]]
[[6], [6], [6], [6], [6], [6], [6], [], [3], [5], [4, 4], [], [5], [5], [5], [5], [6], [6], [4, 4], [6], [6], [4, 4], [], [6], [6], [6], [3, 3], [5], [6], [5], [4, 4], [5], [5], [3, 5], [6], [6], [5], [5], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [3, 5], [5], [6], [6], [3], [6], [], [5], [4, 4], [6], [], [6], [5], [6], [], [5], [6], [], [5], [5], [6], [5], [4, 4], [6], [6], [6], [4, 4], [6], [6], [3, 3], [5], [5], [5], [4, 4]]
[[6], [6], [6], [6], [6], [6], [6], [5], [5], [6], [5], [5], [], [6], [], [3, 3], [6], [6], [5], [], [5], [5], [6], [6], [4, 4], [6], [], [6], [], [5], [6], [3, 3], [6], [5], [6], [4, 4], [5], [4, 4], [6], [5], [5], [4, 4], [6]]
[[6], [6], [6], [6], [6], [6], [6], [5], [5], [6], [6], [6], [5], [6], [6], [6], [6], [], [], [3, 5], [3, 3], [6], [4, 4], [], [5], [5], [6], [6], [5], [6], [], [4, 4], [6], [4, 4], [], [5], [4, 4], [], [], [5], [5], [5], [3, 5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [4], [4], [3, 3], [5], [5], [4], [6], [5], [6], [6], [6], [6], [5], [5], [4], [4], [], [6], [5], [6], [], [6], [4], [5], [6], [4], [6], [5], [5], [3, 3], [6], [6], [5], [5], [4], [], [6], [5]]
-EndAllocation

Instance: [[1], [223], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,45. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 4, 4, 4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [4, 4, 4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6], [3, 4, 4, 4, 4, 6, 6]]
[[], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [], [6, 6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3], []]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3], [6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [], [], [3, 3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6]]
[[], [3, 3, 3, 3, 3], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3]]
[[], [6, 6], [4, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [4, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [], [3, 6], [], [6, 6], [], [4, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [], [4, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6], [6, 6], [3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4, 4], [], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6], [], [4], [], [6, 6], [6, 6], [3, 3, 3, 3], [3], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4, 4], [6, 6], [], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [6], [6], [4, 6], [4, 6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [4, 4], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [4, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [4, 6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [4, 6], [3, 3, 3], [6], [6], [4, 6], [6], [3, 3, 3]]
[[6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [4, 6], [6], [4, 6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [4, 6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [4], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [4]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [4, 4], [3, 6], [6], [6], [6], [6], [6], [6], [6], [4, 4]]
[[6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [4], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [], [4], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 6]]
[[], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [], [6], [3, 6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3], [3, 3], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [3, 3], [6], [6], [4, 4], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [], [6], [4, 4], [6]]
[[], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6]]
[[6], [4, 4], [6], [6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [4, 4], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [6], [], [6], [], [6], [3, 3], [6], [], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [4, 4], [4, 4], [6], [3, 3], [3], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [3, 3], [], [6], [4, 4], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [], [6], [], [6], [6], [6], [6]]
[[], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [], [], [6], [3, 3], [6], [4, 4], [6], [6], [], [6], [3, 3], [4, 4], [6], [6]]
[[6], [], [], [], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [3], [6], [6], [4], [3, 3], [6], [6], [6], [4], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [4], [4], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [222], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,45. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,45:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [4, 4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6], [4, 4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [4, 4, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [], [6, 6, 6, 6], [6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 5], []]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6, 6], [3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [4, 4, 5, 5], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 6], [6, 6, 6], [], [], [3, 3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [3, 3, 4, 4], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [5, 5], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6], [3, 3, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 5, 5], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6], [6, 6]]
[[], [], [4, 6], [6, 6], [4, 6], [], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [], [3, 3, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [3, 3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4], [], [5, 5], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6], [6, 6], [3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [4, 4], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6], [], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [5, 5], [], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [5, 5], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [6], [6], [4, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 4], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [4, 6], [4, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [5, 5], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [3, 3, 3]]
[[6], [3, 6], [3, 3, 3], [5, 5], [6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 5], [6], [4, 4], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 5], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [5], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6]]
[[6], [5], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 4], [6], [6], [6]]
[[5], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [3, 6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [5], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6]]
[[6], [5], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [3, 3], [5], [6], [3, 3], [5], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [4, 4], [6]]
[[], [3, 3], [6], [6], [6], [6], [], [6], [5], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [5], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [3, 3], [6], [4, 4], [6], [], [6], [5], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [6], [], [6], [], [6], [3, 3], [6], [], [3, 3], [5], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [4, 4], [6], [3, 3], [3, 3], [6], [6], [5], [6], [6]]
[[6], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [3, 3], [], [6], [4, 4], [6], [3, 3], [6], [3, 3], [6], [5], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [6], [6], [5]]
[[], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [5], [], [3, 3], [6], [6], [], [], [], [6], [3, 3], [6], [4, 4], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6]]
[[6], [], [], [], [5], [], [6], [3, 3], [6], [6], [], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [6], [4], [4], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [221], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,45. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,45:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 4, 4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [4, 4, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6], [4, 4, 6, 6, 6, 6]]
[[], [6], [6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3], [], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6], [4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6]]
[[], [3, 3, 3, 3, 3], [3, 3, 4, 4], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [], [6, 6], [6], [6, 6], [4, 4, 6], [6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 4, 4], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6]]
[[], [6], [6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [], [3, 3, 3], [], [6, 6], [6], [6, 6], [6], [6, 6], [4, 4], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [4, 4], [6], [6, 6], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [], [6, 6]]
[[], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6], [], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [], [6, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [4, 6], [3, 6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [4, 4], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [4, 6], [3, 6], [3, 3, 3]]
[[6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [6], [4, 6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [4, 4], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 3], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [4, 4]]
[[6], [6], [6], [3, 6], [6], [6], [], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3, 3], [6], [6], [6], [3, 6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3, 3]]
[[6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [4, 4], [3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3], [3, 3], [6], [], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [6], [], [6], [4, 4], [6]]
[[], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6]]
[[6], [6], [3], [6], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [4, 4], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [6], [], [6], [], [6], [3, 3], [6], [], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [6], [3], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [4, 4], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [3, 3], [], [6], [4, 4], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [6], [6], [6]]
[[], [], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [6], [], [], [6], [3, 3], [6], [4, 4], [6], [6], [], [6], [3, 3], [3, 3], [6], [6]]
[[6], [], [], [], [6], [], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [3, 3], [3, 3], [3], [6], [6], [6], [], [3, 3], [6], [6], [4], [4], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [230], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,46. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]]
[[], [4, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 5, 5, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 6], [6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [5, 5, 5, 5, 5], [6, 6], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[], [6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 4], [6, 6, 6, 6], [4, 4, 4, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 5, 5, 5, 5], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [], [4, 4, 4, 6], [6, 6, 6], [5, 5, 5, 5]]
[[], [6, 6, 6], [5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], []]
[[], [5, 5, 5, 5], [6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 6], [4, 4, 4, 4, 4], [], [], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 6]]
[[], [6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [], [5, 5, 5], [4, 4, 4, 4], [5, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6]]
[[], [4, 4, 5], [6, 6], [6], [4, 4, 4, 4], [5, 6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [5, 5, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4]]
[[], [5, 5, 5], [], [6, 6], [5, 6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [4, 6, 6], [5, 5, 5], [6, 6], [6, 6], [], [4, 4, 4, 4], [4, 6, 6], [6, 6]]
[[], [6, 6], [4, 6, 6], [4, 6, 6], [], [4, 6, 6], [4], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [4, 6, 6], [5], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 6, 6], [6, 6], []]
[[], [4, 4, 4], [5, 5], [4, 5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [4, 5, 5], [6, 6], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5]]
[[], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], []]
[[], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [6, 6]]
[[], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [], [], [6, 6], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [4, 4, 4], [], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [], [4, 4, 4], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [], [5, 5], [], [6, 6], [4, 4, 4], [5, 5], [6, 6], [], [], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6]]
[[], [4, 4, 4], [6, 6], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [6, 6], [], [], [5, 5], [6, 6], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], []]
[[], [6, 6], [4, 4, 4], [6, 6], [], [], [], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [], [5, 5], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], [], [5, 5], [4, 4, 4], [], [6, 6], [6, 6], [4, 4, 4], [6, 6]]
[[6], [4, 4], [5, 5], [6], [6], [5, 5], [4, 6], [6], [4, 4], [5, 5], [6], [6], [4, 4], [6], [4, 6], [4, 6], [6], [4, 6], [6], [6], [4, 4], [4, 4], [4, 4], [6], [4, 6], [4, 6], [5, 5], [5, 5], [6]]
[[6], [4, 4], [6], [6], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [4, 6], [6], [6], [4, 6], [6], [4, 6], [4, 4], [4, 6], [6], [6], [6], [4, 4], [5, 5], [4, 4], [6], [5, 5], [6], [6], [6], [6], [4, 4]]
[[6], [6], [4, 4], [6], [6], [4, 6], [6], [4, 6], [6], [4, 4], [5, 5], [6], [6], [6], [5, 5], [6], [5, 5], [6], [4, 6], [4, 4], [6], [], [4, 6], [4, 4], [4, 4], [5, 5], [4, 4], [6], [6], [5, 5], [4, 4]]
[[6], [4, 4], [4, 6], [4, 4], [6], [6], [6], [6], [4, 4], [5, 5], [6], [4, 4], [4, 4], [5, 5], [4, 6], [6], [6], [6], [5, 5], [6], [4, 4], [6], [], [4, 4], [6], [5, 5], [6], [5, 5], [4, 4], [6], [6], [6]]
[[5], [5], [4, 4], [6], [6], [4, 5], [4, 5], [4, 4], [4, 5], [6], [4, 4], [4, 5], [6], [4, 5], [4, 5], [6], [6], [6], [4, 4], [4, 5], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [4, 5], [6], [6]]
[[5], [4, 4], [4, 5], [4, 5], [6], [6], [6], [6], [5], [6], [4, 4], [5], [6], [6], [6], [6], [4, 5], [4, 4], [6], [6], [6], [4, 4], [6], [6], [4, 5], [4, 5], [4, 5], [5], [4, 4], [6], [4, 4], [6], [6], [6]]
[[6], [4, 4], [5], [5], [4, 5], [6], [6], [6], [5], [6], [6], [4, 4], [4, 4], [4, 5], [6], [4, 5], [4, 4], [6], [6], [4, 4], [6], [6], [5], [4, 5], [6], [6], [6], [6], [5], [6], [6], [4, 4], [4, 4], [6], [5]]
[[6], [6], [6], [4, 4], [6], [5], [4, 4], [5], [6], [6], [6], [5], [5], [6], [4, 4], [6], [4, 4], [4, 5], [5], [6], [4, 4], [5], [5], [4, 4], [4, 4], [4, 5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [5]]
[[5], [6], [6], [4, 4], [6], [6], [6], [6], [5], [4, 4], [4, 4], [4, 4], [4, 4], [5], [6], [6], [5], [6], [4, 4], [6], [5], [6], [5], [5], [6], [4, 4], [6], [6], [5], [5], [6], [6], [4, 4], [6], [4, 4], [5], [6]]
[[5], [6], [6], [6], [4, 4], [6], [5], [6], [6], [4, 4], [6], [6], [], [5], [6], [6], [4, 4], [6], [5], [6], [5], [4, 4], [4, 4], [5], [6], [6], [6], [4, 5], [5], [6], [6], [6], [4, 4], [4, 4], [5], [4, 4], [4], [5]]
[[6], [4, 4], [6], [5], [5], [4, 4], [6], [6], [4, 4], [5], [6], [6], [6], [5], [6], [5], [6], [6], [4, 4], [4, 4], [4, 4], [6], [6], [5], [4, 4], [], [5], [6], [5], [6], [4, 4], [6], [], [6], [5], [6], [6], [5], [4, 4]]
[[6], [], [], [6], [6], [4, 4], [5], [6], [5], [], [4, 4], [6], [5], [6], [5], [6], [5], [4, 4], [5], [5], [6], [6], [5], [5], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4, 4], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [5]]
[[6], [5], [6], [6], [4, 4], [5], [6], [6], [6], [5], [6], [4, 4], [6], [5], [4, 4], [4, 4], [6], [6], [5], [], [6], [], [6], [4, 4], [5], [5], [4, 4], [6], [6], [5], [], [4, 4], [5], [4, 4], [6], [6], [6], [4, 4], [], [5], [6]]
[[5], [4, 4], [], [6], [], [4, 4], [6], [6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [4, 4], [4, 4], [6], [6], [5], [4, 4], [5], [6], [6], [6], [], [6], [5], [5], [6], [], [5], [], [6], [6], [5], [4, 4], [5], [6]]
[[], [5], [6], [6], [6], [6], [5], [4, 4], [6], [6], [4, 4], [4, 4], [4, 4], [], [6], [6], [6], [4, 4], [4, 4], [6], [], [6], [5], [5], [4, 4], [5], [5], [6], [5], [6], [], [5], [5], [6], [4, 4], [], [6], [6], [5], [], [6], [6], [4, 4]]
[[], [6], [6], [4, 4], [], [6], [6], [5], [4, 4], [6], [6], [4, 4], [], [6], [5], [6], [], [5], [4, 4], [5], [5], [5], [], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [4, 4], [5], [], [6], [5], [5], [6], [4, 4], [6], [6], [4, 4], [], [5]]
[[6], [], [4, 4], [6], [6], [6], [5], [4, 4], [], [5], [], [4, 4], [6], [5], [5], [], [6], [5], [], [4, 4], [5], [], [6], [5], [5], [], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [6], [5], [6], [5], [6], [], [4, 4], [6], [6], [6], [4, 4], [6]]
[[5], [6], [4], [5], [4], [5], [6], [6], [6], [4], [4], [6], [5], [5], [6], [4], [6], [6], [4], [6], [4], [4], [5], [6], [6], [4], [4], [4], [6], [4], [4], [5], [6], [4], [6], [5], [4], [6], [5], [4], [4], [5], [6], [6], [6], [4]]
-EndAllocation

Instance: [[1], [229], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,46. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6]]
[[4, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 6], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6]]
[[], [4, 5, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5]]
[[], [4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [5, 6, 6, 6, 6], [5, 5, 5, 6, 6, 6], [4, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 6], [6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4], [4, 6, 6, 6, 6], [4, 4, 5, 5, 5], [4, 5, 5, 5, 5], [5, 5, 6, 6, 6], [4, 4, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [], [4, 6, 6, 6, 6], [4, 6, 6, 6, 6]]
[[], [4, 4, 5, 5, 5], [4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[], [6], [6, 6, 6, 6], [4, 4, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 5], [4], [4, 5, 5, 5, 5], [4, 5, 5, 5, 5], [6, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [5, 6, 6], [4, 4, 4, 4, 4], [4, 6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [4, 6, 6, 6], [4, 6, 6, 6], [], [4, 4, 4, 6], [4, 4, 4], [5, 5, 5, 5]]
[[], [6, 6, 6], [5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 6], [6, 6, 6], [4, 4], [4, 4, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4], []]
[[], [5, 5, 5, 5], [6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [], [], [6, 6, 6], [6, 6, 6], [4, 5, 5, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 6]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [5, 5, 5], [4, 4, 4, 4], [6], [6, 6, 6], [4, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6]]
[[], [4, 4, 5], [6, 6], [], [4, 4, 4, 4], [5, 6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [5, 6, 6], [5, 5, 5], [6, 6], [4, 6, 6]]
[[], [5, 5, 5], [], [6, 6], [4, 4, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 6, 6], [4, 4, 4, 4], [4, 6, 6], [5, 5, 5], [6], [6, 6], [4], [4, 6, 6], [4, 6, 6], [6, 6]]
[[], [6, 6], [4, 6, 6], [4, 6, 6], [], [4, 6, 6], [4, 6], [5, 5, 5], [4], [4, 4, 4, 4], [6, 6], [4, 6, 6], [4, 4, 4, 4], [6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [4, 6, 6], [6, 6], []]
[[], [4, 4, 4], [5, 5], [4, 5], [5, 5], [4, 4, 6], [6, 6], [6, 6], [4, 5, 5], [6, 6], [6, 6], [4, 4, 4], [4], [6, 6], [6, 6], [4, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5]]
[[], [4, 4, 4], [6, 6], [4, 6], [4, 5, 5], [4, 4, 4], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 6], [6, 6], [4, 5, 5], [4, 4, 4], [5], [6, 6], [4, 4, 4], []]
[[], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [5, 6], [6, 6], [4, 6], [4, 4, 4], [5, 5], [6, 6]]
[[], [4, 6], [4, 4, 4], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [4, 4, 4], [], [6, 6], [4, 4, 4], [6, 6], [5, 6], [6, 6], [6, 6], [5, 5]]
[[], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 5], [6, 6], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [5, 5], [5, 5], [], [5, 5], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5]]
[[], [6, 6], [], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [6, 6], [], [], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [], [4, 5], [6, 6], [6, 6], [4, 4, 4], [], [4, 4, 4], [5, 5], [5, 5], [6, 6]]
[[], [4, 4, 4], [6, 6], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [4, 4, 4], [], [], [5, 5], [6, 6], [6], [4, 6], [5], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], []]
[[], [6, 6], [4, 6], [6, 6], [], [], [4], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [4, 5], [], [5, 5], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], [], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [6], [4], [6, 6]]
[[6], [4, 4], [6], [5], [6], [5, 5], [4, 6], [6], [4, 4], [5, 5], [6], [6], [4, 4], [6], [4, 6], [4, 6], [4, 4], [4, 6], [6], [6], [4, 4], [4, 4], [4, 6], [6], [4, 6], [4, 6], [5, 5], [5, 5], [6]]
[[6], [4, 4], [6], [6], [5, 5], [5, 5], [4, 5], [4, 4], [4, 6], [4, 6], [6], [4, 6], [4, 6], [], [4, 6], [4, 4], [4, 6], [6], [6], [6], [4, 4], [5, 5], [4, 4], [6], [5, 5], [6], [6], [6], [6], [4, 4]]
[[6], [6], [4, 4], [], [6], [4, 6], [6], [4, 6], [6], [4, 4], [5, 5], [6], [6], [6], [5, 5], [6], [5, 5], [6], [4, 6], [4, 4], [6], [], [4, 6], [4, 4], [4, 6], [4, 5], [4, 4], [4, 6], [6], [5, 5], [4, 4]]
[[6], [4, 4], [4, 6], [4, 6], [6], [6], [6], [6], [4, 4], [5, 5], [4, 4], [4, 4], [4, 4], [5, 5], [4, 6], [6], [6], [6], [5, 5], [6], [4, 4], [6], [], [4, 4], [6], [5, 5], [6], [5], [4, 4], [6], [6], [6]]
[[6], [5], [4, 4], [6], [6], [4, 5], [4, 5], [4, 4], [4, 5], [6], [4, 4], [4, 5], [6], [4, 5], [4, 5], [6], [6], [6], [4, 4], [4, 5], [6], [6], [4], [4, 5], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6]]
[[6], [4, 4], [5], [5], [6], [6], [6], [6], [5], [6], [4, 4], [6], [4, 4], [6], [6], [4, 4], [4, 5], [4, 4], [6], [6], [6], [4, 4], [6], [6], [4, 5], [4, 5], [4, 5], [5], [4, 4], [6], [4, 5], [6], [6], [6]]
[[6], [4, 4], [5], [5], [4, 5], [6], [6], [6], [5], [6], [6], [4, 4], [4, 4], [4, 5], [6], [4, 5], [4, 4], [6], [4], [4, 4], [6], [6], [5], [4, 5], [6], [6], [6], [6], [5], [6], [6], [4, 4], [4, 4], [6], [6]]
[[6], [6], [6], [4, 4], [6], [5], [4, 4], [5], [6], [6], [6], [5], [5], [6], [4, 4], [6], [4], [4, 5], [4, 5], [6], [4, 4], [5], [6], [4, 4], [4, 4], [4, 5], [6], [6], [6], [4, 4], [6], [4], [6], [6], [6], [5]]
[[5], [6], [6], [4, 4], [6], [6], [6], [6], [5], [4, 4], [4, 4], [4, 4], [4, 4], [5], [6], [6], [], [6], [4, 4], [6], [5], [6], [5], [5], [6], [4, 4], [6], [6], [4, 4], [5], [6], [6], [4, 4], [6], [4, 5], [5], [6]]
[[5], [6], [6], [6], [4], [4, 4], [5], [6], [6], [4, 4], [6], [6], [], [5], [6], [6], [4, 4], [6], [5], [6], [6], [4, 4], [4, 4], [5], [6], [6], [6], [4, 5], [5], [6], [6], [6], [4, 4], [4, 4], [5], [4, 4], [4], [5]]
[[6], [4, 4], [6], [5], [5], [4], [6], [6], [4, 4], [5], [6], [6], [6], [5], [6], [5], [6], [6], [4, 4], [4, 4], [4, 4], [6], [6], [5], [4, 4], [], [5], [6], [5], [6], [4, 4], [6], [6], [6], [5], [4, 4], [6], [], [4, 4]]
[[6], [], [], [6], [6], [4, 4], [5], [6], [5], [], [4, 4], [6], [5], [6], [5], [6], [5], [4, 4], [5], [5], [6], [6], [5], [4, 4], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [5]]
[[6], [5], [6], [6], [4, 4], [5], [6], [6], [6], [5], [6], [4, 4], [6], [5], [4, 4], [4, 4], [6], [6], [5], [], [6], [4, 4], [6], [4, 4], [5], [5], [4, 4], [6], [6], [5], [], [4, 4], [], [4, 4], [6], [6], [6], [4], [], [5], [6]]
[[5], [4, 4], [], [6], [6], [4, 4], [6], [6], [5], [6], [5], [4, 4], [6], [4, 4], [6], [4], [6], [6], [4, 4], [4, 4], [6], [4, 4], [], [4, 4], [5], [6], [6], [6], [], [6], [5], [5], [6], [], [5], [], [6], [6], [5], [4, 4], [5], [6]]
[[], [4, 4], [6], [6], [6], [6], [5], [4], [6], [6], [4, 4], [4, 4], [4, 4], [], [6], [6], [6], [4, 4], [4, 4], [6], [], [6], [5], [5], [4, 4], [5], [5], [6], [5], [6], [], [5], [5], [6], [4, 4], [], [6], [6], [5], [], [6], [6], [4, 4]]
[[], [6], [6], [4, 4], [], [6], [4, 4], [5], [4, 4], [6], [6], [4, 4], [], [6], [5], [6], [], [5], [4, 4], [], [5], [5], [], [6], [4, 4], [4], [6], [6], [6], [6], [6], [4, 4], [5], [], [6], [5], [5], [6], [4, 4], [6], [6], [4, 4], [6], [5]]
[[6], [], [4, 4], [6], [6], [6], [5], [4, 4], [], [5], [], [4, 4], [6], [5], [], [], [6], [5], [], [4, 4], [5], [4, 4], [6], [5], [5], [], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [6], [5], [6], [5], [6], [], [4, 4], [6], [6], [6], [4], [6]]
[[5], [6], [4], [5], [4], [5], [6], [6], [6], [4], [4], [6], [5], [5], [6], [4], [6], [6], [4], [6], [4], [4], [4], [6], [6], [4], [4], [4], [6], [4], [4], [5], [6], [4], [6], [5], [4], [6], [5], [4], [4], [5], [6], [6], [6], [4]]
-EndAllocation

Instance: [[1], [228], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,46. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], [4, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 5, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6], [4, 4, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [5, 5, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6], [], [], [6, 6], [6, 6, 6], [4, 4, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 3, 3], [4, 4, 6]]
[[6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [4, 4], [6], [6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3], [3, 3, 3, 3], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [3, 3, 3, 3], [6, 6], [6], [4, 4], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [3, 3, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], []]
[[], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3], [3, 3, 3, 3], [], [], [6, 6], [6], [4, 4], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [4, 6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [4, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 6], [3, 3, 3], [4, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [3, 6], [6], [5], [6], [6], [4, 4], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5], [6], [3, 6], [6], [4, 4], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [4], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [4, 4], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [4, 4], [6], [6]]
[[6], [6], [6], [6], [4, 4], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5]]
[[6], [], [6], [6], [3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [5], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [], [6], [3, 3], [3, 5], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [4, 4], [], [6], [6]]
[[6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [5], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [], [6]]
[[6], [3], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3, 5], [3, 3], [], [6], [5], [6], [3, 3], [6], [], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6]]
[[], [6], [6], [6], [3], [6], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [], [3, 3], [3, 5], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [5]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [], [], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [3, 3], [3, 5], [6], [], [6], [3], [6], [3, 3], [4, 4], [6]]
[[6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [3, 3], [3, 3], [6], [6], [3, 3], [4], [3, 3], [], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [5], [6], [6], [5], [4], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [227], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,46. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 6, 6, 6], [4, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [5, 5, 5, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5, 5]]
[[], [4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 6, 6, 6], [3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6], [4, 4, 6], [5, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 5, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [5, 5, 5, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 5, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [5, 5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [4, 4, 6], [6, 6, 6]]
[[], [6, 6, 6], [6], [3, 3, 3, 3, 3, 3], [3, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 6, 6], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6], [], [], [6], [6, 6, 6], [4, 4, 6], [6, 6, 6], [5, 5, 5], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [4, 4, 6]]
[[6], [5, 5, 5], [6, 6], [3, 3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [3, 3, 3, 3], [6, 6], [5, 6], [3, 3, 3, 3], [6], [6, 6], [3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6]]
[[], [], [6, 6], [3, 3, 4, 4], [3, 3, 3, 3], [6, 6], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 5], [3, 3, 3, 3], [4, 4], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [4, 4], [6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3], [3, 3, 3, 3], [5, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], []]
[[], [3, 3, 5], [6, 6], [6], [4, 4], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [5, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [5, 6], [], [6, 6], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], []]
[[], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [5, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [4, 4], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [4, 6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [4, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 5], [6]]
[[6], [4, 6], [6], [3, 6], [3, 6], [6], [5], [3, 6], [4, 6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 6], [3, 5], [4, 6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [4, 4], [6], [6], [6], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [3, 6], [5], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [6], [5], [6], [6], [6], [3, 6], [6], [3, 6], [6], [5], [6], [6], [4, 4], [5], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5], [6], [3, 6], [6], [4, 4], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [4, 5], [4], [6], [3, 3, 3], [6], [6], [6], [3, 6], [3, 5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [6], [6], [3, 6], [6], [6], [3, 5], [6], [3, 3, 3], [6], [4, 4], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6], [6], [6], [5], [6], [5], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [4, 4], [6], [6]]
[[6], [6], [6], [6], [4, 4], [6], [5], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5]]
[[6], [], [6], [5], [3, 3], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [], [6], [6], [6], [5], [3, 3], [6], [6], [6], [5], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 5], [6], [6], [3, 3], [6], [6], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [], [6], [3, 3], [3, 5], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [4, 4], [], [6], [6]]
[[6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [5], [3, 3], [6], [6], [5], [6], [6], [6], [5], [6], [], [6]]
[[6], [3], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3, 5], [3, 3], [], [6], [5], [6], [3, 3], [6], [], [5], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6]]
[[], [6], [6], [6], [], [6], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [], [3, 3], [3, 5], [3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 5], [6], [6], [6], [6], [6], [6], [], [5]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [], [], [6], [3, 3], [6], [5], [6], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [3, 3], [3, 5], [6], [], [6], [3], [6], [3, 3], [4, 4], [6]]
[[6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [3, 3], [3, 3], [6], [6], [3, 3], [4], [3, 3], [], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [5], [6], [6], [5], [4], [], [5], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [226], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,46. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [5, 5], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 5], [6, 6, 6], [6, 6, 6], [], [6, 6], [3, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [6, 6], [6, 6, 6], [], [], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [5, 5, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6], [3, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], []]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 5, 5], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [3, 5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], []]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], []]
[[], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [], [6, 6], [6, 6], [], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 6], [3, 6], [6], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [6]]
[[6], [6], [3, 3, 3], [3, 6], [6], [3, 3, 3], [6], [3, 6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [3, 6], [6], [3, 6], [6], [5], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [6], [5], [6], [3, 6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6]]
[[6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [3, 5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [3, 3]]
[[6], [6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [3, 3, 3], [3, 3, 3], [], [6], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [5]]
[[6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [5], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [5], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [3, 5], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3], [6], [6], [6], [], [], [6], [6]]
[[6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [5], [3, 3], [6], [6], [6], [6], [6], [6], [5], [3, 3], [], [6]]
[[6], [3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [], [6], [3, 3], [3, 3], [6], [3, 5], [3, 3], [], [6], [5], [6], [3, 3], [6], [], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [6], [], [3, 3], [6], [], [3, 3], [3, 5], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [5]]
[[6], [6], [6], [3, 3], [6], [6], [], [6], [6], [6], [], [6], [6], [6], [3, 3], [], [6], [6], [], [], [6], [3, 3], [6], [6], [6], [], [6], [3], [6], [6], [6], [3, 3], [6], [6], [5], [3, 3], [3, 5], [6], [], [6], [3, 3], [6], [3, 3], [6], [6]]
[[6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [], [3, 3], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [3, 3], [], [6], [6], [], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [5], [6], [6], [5], [3, 3], [], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [235], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,47. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5, 5, 5, 5], [3, 6], [3, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [3, 3, 5, 6], [5, 5, 5, 5, 5, 5, 5], [4], [], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [4, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5], [3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], []]
[[5, 5, 5, 5, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 6], [6, 6, 6, 6], [3, 3], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [], [3, 3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6], [3, 3], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [], [6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [4, 4, 4, 4]]
[[5, 5, 5, 6], [6, 6, 6], [3, 3], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], []]
[[5, 5, 5], [6, 6, 6], [6], [4, 4, 4, 4, 4], [3, 3], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 5, 5, 5], [], [5, 5, 5], [4, 4, 4, 4, 4], [], [], [6, 6, 6], [3, 3, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [5, 5, 5], [6, 6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [6, 6, 6], [4, 4], [3, 3, 6]]
[[5, 5, 5], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [], [6, 6, 6], [5, 5, 5], [4, 4, 4], [3, 3], [5, 5, 5], [4, 4, 4, 6], [6, 6, 6]]
[[6, 6], [6], [5, 6, 6], [5, 6, 6], [5, 6, 6], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 5, 6], [5, 5, 6], [4, 6, 6], [6, 6], [], [5, 5, 5], [4, 4, 4, 4], [], [6, 6], [5, 5, 5], [4, 6, 6]]
[[5, 5, 6], [4, 4, 6], [], [], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [3, 3, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 6], [5, 5, 5], [6, 6], []]
[[5, 5, 5], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [], [6, 6], [5, 5, 6], [6, 6], [3, 4, 4, 5], [4, 4, 4, 4], [6, 6], [], [5, 5, 5], [3, 6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6], [5, 5, 5]]
[[6, 6], [6, 6], [6, 6], [], [3, 3, 4], [6, 6], [5, 5], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [4, 4, 6], [6, 6], [4, 4, 4], [5], [6, 6], [4, 4, 4], [5, 5], [4, 5, 5], [5, 5], [6, 6]]
[[4, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [3, 5, 6], [4, 4, 4], [], [6, 6], [6, 6], [4, 4, 4], [], [3, 4, 4], [6, 6], []]
[[5, 6], [], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [], [6, 6], [3, 5, 5], [4, 4, 4], [], [4, 4, 4], [5, 5], [3, 4], [6, 6], [6, 6]]
[[5, 5], [], [6, 6], [4], [5, 5], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 6], [5, 5], [6], [6, 6], [5, 5], [], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [3, 3, 6], [4, 4, 4]]
[[5], [5, 5], [], [6, 6], [], [6, 6], [4], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [4, 4, 4], [3, 3, 6], [4, 4, 4], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [], [], [4, 4, 4], [6, 6]]
[[5, 5], [], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [3, 3, 4], [5, 5], [5, 5], [6, 6], [], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [], [5, 5], [6, 6], [5, 6], [], [], [6, 6]]
[[5, 5], [4, 4, 4], [4], [], [], [5, 5], [6, 6], [3, 3], [6, 6], [5, 6], [5, 5], [5], [], [], [5, 5], [6, 6], [6, 6], [6], [5, 5], [6, 6], [6, 6], [], [5, 5], [6, 6], [4, 4, 4], [5, 6], [4, 4, 4], [6, 6]]
[[5, 6], [5, 5], [4], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [5, 5], [5, 5], [4, 4, 4], [3, 3], [6, 6], [5, 5], [], [4, 4, 4], [], [6, 6], [], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [], [6, 6], [6, 6], [5, 5]]
[[3, 5], [6], [4, 4], [5, 5], [5, 5], [6], [5, 5], [6], [4, 6], [4, 4], [5, 5], [6], [6], [6], [5, 5], [4, 4], [4, 6], [6], [6], [6], [5, 5], [6], [5, 5], [3, 6], [6], [4, 6], [4, 6], [6], [6], [6]]
[[3, 6], [6], [6], [6], [6], [6], [5], [5, 5], [5, 5], [5, 5], [5, 5], [6], [6], [6], [6], [6], [4, 4], [6], [4, 6], [6], [4, 4], [6], [5, 5], [6], [5, 5], [6], [4, 6], [3, 6], [4, 4], [5, 5], [4, 4]]
[[5, 5], [6], [4, 6], [6], [4, 4], [6], [6], [6], [6], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [6], [6], [4, 6], [6], [6], [4, 4], [5, 5], [6], [5, 5], [5], [6], [6], [4, 4], [6], [6], [6], [6], [3, 3]]
[[5, 5], [], [6], [5, 5], [6], [6], [6], [6], [3, 6], [5, 5], [5, 5], [6], [6], [5], [6], [4, 6], [4, 4], [4, 6], [6], [], [4, 4], [6], [5, 5], [3, 6], [6], [6], [6], [6], [5, 5], [5, 5], [4, 4], [4, 4], [6]]
[[6], [6], [5], [4, 5], [5], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [6], [6], [6], [6], [6], [6], [3, 5], [4, 5], [5], [6], [4, 5], [6], [6], [5], [6], [3, 6]]
[[4, 5], [6], [6], [5], [5], [6], [4, 5], [4, 5], [6], [4, 5], [4, 4], [6], [6], [4, 5], [4, 5], [6], [4, 5], [3, 6], [6], [6], [5], [6], [5], [5], [6], [6], [6], [6], [5], [6], [4, 5], [6], [6], [5], [3, 6]]
[[3, 6], [5], [4, 5], [6], [4, 5], [5], [4, 4], [6], [4, 5], [6], [6], [6], [4, 5], [6], [6], [6], [6], [5], [6], [6], [6], [5], [4, 5], [5], [6], [5], [5], [5], [4, 4], [6], [6], [5], [4, 5], [6], [3, 6], [6]]
[[6], [6], [4, 4], [5], [6], [5], [6], [4, 5], [6], [6], [4, 4], [6], [4, 5], [4, 5], [6], [4, 5], [4, 5], [6], [5], [6], [6], [6], [6], [6], [6], [5], [6], [5], [3, 3], [5], [5], [6], [6], [6], [4, 5], [5], [5]]
[[5], [4, 4], [], [6], [6], [4, 4], [5], [6], [6], [6], [4, 5], [6], [6], [6], [6], [5], [5], [3, 6], [4, 5], [6], [6], [4, 5], [6], [5], [5], [6], [3, 5], [4, 5], [4, 5], [], [6], [6], [5], [5], [4, 5], [6], [6], [6]]
[[3, 6], [5], [5], [6], [4, 5], [4, 4], [6], [6], [3, 5], [6], [4, 5], [6], [6], [4, 4], [5], [6], [6], [5], [5], [6], [5], [6], [6], [6], [6], [6], [5], [6], [4, 4], [5], [6], [5], [5], [6], [5], [5], [], [6], [4, 4]]
[[5], [6], [6], [6], [6], [5], [4, 4], [5], [5], [6], [3, 5], [6], [5], [6], [5], [5], [6], [3, 5], [6], [5], [6], [6], [5], [6], [6], [6], [4, 4], [5], [6], [5], [], [4, 4], [6], [4, 4], [4, 4], [5], [6], [6], [5], [6]]
[[4, 4], [5], [5], [5], [6], [5], [6], [5], [6], [6], [5], [5], [5], [6], [6], [6], [6], [4, 4], [6], [6], [4, 4], [4, 4], [5], [6], [], [6], [5], [6], [6], [5], [5], [6], [6], [5], [4, 4], [6], [6], [5], [5], [3, 3], [6]]
[[5], [5], [6], [6], [4, 4], [5], [4, 4], [4, 4], [6], [6], [5], [5], [6], [5], [5], [6], [], [6], [6], [6], [5], [3, 3], [6], [6], [6], [5], [], [6], [6], [6], [4, 4], [6], [5], [5], [5], [5], [5], [6], [5], [6], [4, 4], [6]]
[[6], [6], [5], [5], [5], [5], [6], [3, 3], [5], [6], [6], [5], [6], [6], [5], [4, 4], [6], [4, 4], [4, 4], [6], [5], [6], [6], [5], [5], [5], [4, 4], [], [], [5], [], [6], [6], [6], [5], [6], [6], [6], [4, 4], [5], [5], [6], [6]]
[[4, 4], [6], [6], [5], [6], [], [6], [4, 4], [5], [5], [6], [], [5], [4, 4], [5], [5], [6], [6], [5], [6], [], [6], [5], [5], [6], [5], [5], [], [4, 4], [3, 5], [6], [6], [6], [3, 5], [6], [6], [4, 4], [], [6], [5], [6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [5], [5], [5], [6], [5], [6], [6], [5], [4, 4], [4, 4], [5], [4, 4], [6], [6], [], [6], [4, 4], [5], [], [4, 4], [], [], [5], [6], [5], [5], [5], [6], [6], [5], [], [6], [5], [6], [3, 3], [6], [5], [6], [5]]
[[5], [4, 4], [6], [6], [5], [6], [5], [5], [6], [5], [6], [], [5], [6], [6], [4, 4], [6], [], [5], [3, 5], [6], [6], [6], [4, 4], [], [5], [], [6], [], [4, 4], [], [5], [5], [6], [6], [], [6], [5], [6], [4, 4], [6], [6], [6], [3, 5], [5], [5]]
[[5], [5], [6], [5], [5], [4], [6], [5], [5], [4], [6], [5], [4], [6], [4], [4], [6], [5], [], [4], [], [3, 3], [6], [5], [6], [5], [4], [6], [6], [6], [4], [6], [6], [5], [5], [6], [6], [4], [5], [4], [5], [6], [6], [6], [6], [6], [5]]
-EndAllocation

Instance: [[1], [234], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,47. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,47:
-StartAllocation
[[4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6], [3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 4, 4, 5, 5, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5], [3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6]]
[[], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 6, 6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6], [6, 6, 6]]
[[], [6, 6, 6], [3, 3], [6, 6], [3, 6, 6, 6], [6, 6, 6], [], [3, 6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [3, 4, 4, 5, 5], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5]]
[[], [6, 6, 6], [3, 3], [6], [4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6], [4, 6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6, 6], [4, 4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [4], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6, 6]]
[[], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6]]
[[], [], [6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [4, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [3, 5, 5], [6, 6], [], [], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6]]
[[], [3, 3, 6], [6, 6], [6], [], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [4, 4], [6, 6], [], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [5, 5], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [], [4, 4], [5, 5], [6, 6], [3, 3, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4], [], [6, 6], [6, 6], [6, 6], [6], [3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [6, 6], [6, 6], [], [3, 3, 6], [6, 6], [], [6, 6], [4, 4], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [], [], [6, 6]]
[[6], [4, 6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [3, 6], [4, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [4, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [3, 6], [6]]
[[6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 4], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [4, 4], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6]]
[[6], [4, 5], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 5], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [4], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 5], [6], [6], [4, 4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 5], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4, 4], [3, 3, 3], [6], [6], [5], [6], [6], [6], [3, 6], [5], [6], [6], [3, 3, 3]]
[[6], [], [6], [3, 3, 3], [6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [5], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [], [6], [5], [3, 6], [3, 3, 3], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [5], [6], [6]]
[[6], [4, 4], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [5], [6], [6], [6], [6]]
[[6], [4, 4], [], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [6], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [5], [6], [], [5], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6]]
[[5], [3, 3], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [4], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 4], [], [6], [3, 5], [6], [6], [3, 3], [], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [5], [3, 3], [6], [], [], [6], [6], [5], [6], [6], [4, 4], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], []]
[[], [5], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 3], [5], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [4, 4], [6], [3, 3]]
[[6], [6], [], [6], [6], [], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [5], [], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [], [5], [], [6], [4, 4]]
[[5], [6], [3, 3], [6], [], [6], [6], [], [6], [6], [], [6], [6], [5], [6], [4], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [6], [4], [], [6]]
-EndAllocation

Instance: [[1], [233], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,47. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 4, 5, 5, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [4, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6], [5, 5, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 4, 6]]
[[], [6, 6, 6, 6], [6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 5, 5], [3, 3, 6, 6, 6], [6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [5, 5, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [], [6, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3], [6], [3, 6, 6, 6], [6, 6, 6], [], [3, 6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [4, 5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 5, 5]]
[[], [6, 6, 6], [3, 3, 3], [6], [4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6]]
[[6, 6], [4, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [4, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6, 6]]
[[], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6]]
[[], [6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 4], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6]]
[[], [3, 5, 5], [6, 6], [], [], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [6]]
[[], [3, 3, 3], [6, 6], [6, 6], [], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [4], [6, 6], [], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [], [5, 5], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 4], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [], [], [3, 3, 3, 3], [], [4, 6], [5, 5], [6, 6], [3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4], [], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3], [], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [], [6, 6], [6, 6]]
[[], [6], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3], [6, 6], [], [6, 6], [4, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [], [], [6, 6]]
[[6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [4, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [5, 5], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [3, 6], [6]]
[[6], [5, 5], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [4, 6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [4, 6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6]]
[[6], [4, 5], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [3, 5], [3, 6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [6], [6], [4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [3, 3, 3], [6], [3, 5], [6], [6], [6], [6], [3, 6], [6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4], [3, 3, 3], [6], [6], [5], [6], [6], [6], [3, 6], [3, 5], [6], [6], [3, 3, 3]]
[[6], [], [6], [3, 3, 3], [6], [6], [5], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [5], [6], [6], [6]]
[[6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [3, 3], [3, 3, 3], [], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4], [5], [6], [6]]
[[6], [4], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [4], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [5], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [5], [6], [6], [6], [6]]
[[6], [4], [], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [5], [6], [3, 3], [3, 3], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [5], [6], [], [5], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [3]]
[[5], [3, 3], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 4], [], [6], [3, 5], [6], [6], [3, 3], [3], [6]]
[[6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 5], [3, 3], [6], [], [], [6], [6], [5], [6], [6], [4], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], []]
[[], [5], [6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 3], [5], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [], [6], [4], [6], [3, 3]]
[[6], [6], [], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [6], [5], [], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [3], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [6], [], [5], [], [6], [4]]
[[5], [6], [3, 3], [6], [], [6], [6], [], [6], [6], [], [3], [6], [5], [6], [4], [6], [6], [6], [6], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [3, 3], [3, 3], [6], [6], [], [6]]
-EndAllocation

Instance: [[1], [232], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,47. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,47:
-StartAllocation
[[3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 5, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[4, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 5, 5, 5, 5], [], [6], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [4, 4, 4], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 6], []]
[[5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [5, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [], [4, 4, 4, 4, 4], [6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6], [5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5], [], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4], [], [6, 6, 6, 6]]
[[5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], []]
[[5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [6, 6, 6], [4, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[5, 5, 5, 5], [], [], [4, 4, 4, 4, 4], [3, 3, 3, 3], [], [6, 6], [4, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6]]
[[5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [5, 5, 5], [6], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [4, 4, 4, 5], [3, 3, 3, 3]]
[[5, 5, 5], [6, 6], [6, 6], [4, 6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4], [5, 5, 5], [6, 6], [6, 6], [5, 5, 5], [], [3, 3, 3, 3], [5, 6, 6], [4, 4, 4, 4], [4, 6, 6]]
[[4, 6, 6], [], [4, 6, 6], [5, 6, 6], [5, 6, 6], [], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 5], [5, 5, 5], [5, 6, 6], [4, 6, 6], [], [5, 5, 5], [4, 4, 4, 4], [], [6, 6], [5, 5, 5], [6, 6]]
[[5, 5, 6], [4, 4, 4], [], [], [6, 6], [6, 6], [4, 4, 4, 4], [5, 5, 5], [6, 6], [5, 5, 6], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], []]
[[5, 5, 5], [6, 6], [6, 6], [6, 6], [], [], [5, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [], [5, 5, 5], [], [3, 3, 3, 3, 4], [5, 5, 5], [6, 6], [5, 5, 5]]
[[5, 5], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [4, 4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [6, 6]]
[[4, 5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [], [3, 3, 3, 3], [], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], []]
[[5, 5], [4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6]]
[[5, 5], [], [6, 6], [], [5, 5], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [4, 4], [5, 5], [6, 6], [5, 5], [], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [6, 6], [3, 3, 3, 3], [4, 4, 4]]
[[5, 5], [5, 5], [6, 6], [6, 6], [], [6, 6], [], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [4, 4], [4, 4, 4], [3, 3, 3, 3], [4, 4, 4], [5, 5], [6, 6], [5, 5], [], [5, 5], [6, 6], [], [], [4, 4, 4], [6, 6]]
[[5, 5], [5, 5], [], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [5, 5], [5, 5], [3, 3, 3, 3], [6, 6], [], [6, 6], [4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [], [5, 5], [6, 6], [5, 5], [], [], [6, 6]]
[[5, 5], [6, 6], [], [], [], [5, 5], [6, 6], [3, 3, 3, 3], [], [5, 5], [5, 5], [4, 4], [5, 5], [], [4, 4, 4], [6, 6], [6, 6], [], [5, 5], [6, 6], [6, 6], [], [5, 5], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6]]
[[5, 5], [5, 5], [4, 4], [6], [6], [4, 4], [5, 5], [6], [3, 6], [5, 5], [6], [6], [4, 4], [3, 6], [6], [6], [5, 5], [3, 6], [3, 6], [6], [5, 5], [4, 4], [4, 6], [5, 5], [], [6], [4, 6], [4, 6], [5, 5]]
[[5, 5], [6], [4, 4], [6], [6], [6], [6], [5, 5], [5, 5], [4, 4], [5, 5], [6], [4, 6], [5, 5], [5, 5], [4, 4], [4, 6], [6], [5, 5], [3, 6], [5, 5], [6], [6], [3, 3, 3], [], [4, 4], [4, 6], [6], [6], [6]]
[[6], [6], [6], [3, 6], [5, 5], [6], [5, 5], [5, 5], [4, 4], [5, 5], [5, 5], [6], [6], [6], [6], [4, 6], [4, 4], [], [6], [6], [4, 4], [], [5, 5], [6], [5, 5], [6], [4, 6], [3, 3, 3], [4, 6], [5, 5], [4, 4]]
[[5, 5], [6], [4, 6], [6], [4, 4], [], [6], [4, 6], [6], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [5, 5], [6], [4, 6], [], [6], [5, 5], [3, 3, 3], [6], [5, 5], [], [6], [6], [4, 4], [6], [6], [6], [4, 4], [3, 6]]
[[6], [], [6], [5, 5], [6], [6], [6], [6], [4, 6], [5, 5], [5, 5], [5, 5], [4, 4], [], [6], [6], [4, 4], [4, 6], [], [], [4, 4], [6], [5, 5], [3, 6], [6], [5, 5], [3, 3, 3], [6], [5, 5], [5, 5], [4, 6], [4, 4], [6]]
[[3, 6], [6], [4, 5], [6], [4, 5], [5], [6], [3, 6], [4, 5], [3, 6], [6], [6], [5], [6], [4, 4], [6], [5], [5], [6], [6], [5], [6], [4, 4], [6], [4, 5], [4, 5], [6], [6], [5], [5], [4, 5], [4, 5], [3, 5], [5]]
[[3, 6], [5], [6], [6], [6], [5], [4, 5], [3, 5], [4, 4], [6], [4, 5], [6], [6], [4, 5], [6], [4, 4], [4, 5], [3, 6], [3, 6], [5], [5], [6], [5], [5], [5], [4, 5], [4, 4], [6], [6], [6], [6], [6], [5], [5], [5]]
[[5], [6], [3, 5], [6], [4, 5], [6], [4, 4], [5], [4, 5], [6], [6], [5], [4, 5], [5], [6], [6], [4, 5], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [], [5], [5], [4, 4], [6], [6], [5], [4, 5], [6], [3, 3, 3], [5]]
[[6], [6], [4, 4], [5], [5], [5], [5], [4, 5], [6], [5], [4, 5], [6], [6], [4, 5], [6], [5], [4, 4], [6], [5], [4, 5], [5], [6], [3, 6], [6], [6], [5], [5], [4, 4], [3, 3, 3], [], [6], [6], [6], [4, 5], [6], [6], [5]]
[[4, 5], [6], [], [5], [6], [4, 4], [6], [5], [6], [4, 4], [4, 5], [4, 5], [5], [5], [5], [5], [3, 3, 3], [6], [3, 6], [6], [6], [6], [5], [5], [6], [6], [6], [4, 4], [4, 4], [5], [5], [6], [6], [5], [6], [5], [5], [6]]
[[3, 5], [5], [3, 5], [6], [4, 4], [4, 4], [5], [6], [3, 3], [6], [6], [5], [6], [5], [6], [5], [5], [6], [5], [6], [5], [6], [5], [4, 4], [6], [6], [5], [5], [4, 4], [5], [6], [5], [6], [6], [6], [6], [5], [4], [4, 4]]
[[5], [6], [6], [6], [4], [5], [4, 4], [5], [4, 4], [6], [5], [6], [5], [5], [6], [5], [6], [3, 3], [6], [5], [6], [6], [5], [6], [5], [5], [4, 4], [3, 3], [5], [5], [5], [4, 4], [6], [4, 4], [6], [6], [6], [6], [5], [5]]
[[6], [4, 4], [5], [5], [6], [3, 5], [4, 4], [5], [3, 5], [5], [6], [5], [5], [6], [6], [4], [], [5], [6], [6], [], [4, 4], [6], [6], [5], [6], [5], [6], [6], [5], [6], [6], [4, 4], [5], [4, 4], [6], [5], [5], [5], [3, 3], [6]]
[[6], [5], [6], [4, 4], [4, 4], [4], [4, 4], [6], [5], [5], [5], [6], [5], [5], [5], [6], [], [6], [5], [6], [5], [3, 3], [], [6], [6], [3, 5], [], [6], [6], [6], [6], [5], [4, 4], [5], [5], [3, 5], [5], [6], [5], [6], [4, 4], [6]]
[[6], [6], [5], [5], [6], [4, 4], [6], [3, 3], [4], [5], [3, 3], [6], [5], [6], [], [5], [4, 4], [4, 4], [4, 4], [6], [5], [6], [6], [5], [5], [5], [], [], [5], [5], [5], [5], [6], [6], [5], [6], [5], [6], [4, 4], [6], [6], [6], [5]]
[[6], [4, 4], [6], [5], [6], [5], [6], [4, 4], [4], [5], [3, 5], [5], [5], [5], [], [3, 5], [6], [6], [5], [6], [4, 4], [6], [5], [5], [6], [5], [5], [], [4, 4], [5], [], [6], [6], [3, 3], [], [6], [4, 4], [], [6], [5], [6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [5], [6], [5], [5], [4, 4], [5], [6], [5], [4, 4], [4, 4], [5], [4, 4], [], [5], [], [6], [4, 4], [5], [4], [], [], [], [6], [6], [], [5], [3, 5], [6], [6], [5], [5], [5], [3, 5], [6], [3, 3], [6], [5], [6], [5]]
[[5], [4, 4], [6], [6], [5], [3, 3], [5], [6], [6], [5], [5], [5], [6], [6], [6], [5], [6], [4], [5], [], [6], [5], [4, 4], [6], [], [3, 5], [], [6], [], [6], [5], [5], [4, 4], [6], [4, 4], [], [6], [3, 5], [], [4, 4], [6], [6], [5], [5], [5], []]
[[5], [5], [4], [5], [5], [4], [4], [6], [6], [5], [6], [6], [3, 3], [5], [5], [5], [6], [6], [4], [5], [6], [4], [], [6], [5], [4], [5], [3, 3], [6], [4], [4], [5], [6], [6], [6], [6], [4], [], [6], [5], [6], [6], [5], [4], [5], [5], [4]]
-EndAllocation

Instance: [[1], [231], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,47. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6]]
[[3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6], [3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6], [6], [3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6]]
[[], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6]]
[[], [3, 3, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6], [4, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [4, 4, 6, 6], [6, 6, 6, 6], [4, 6, 6, 6], [6]]
[[], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [4, 4, 4, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 4, 4, 4, 6], [6, 6, 6], [], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 6, 6], [3, 3, 4, 4, 4], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3], [6, 6, 6], [3, 3, 4, 4, 4]]
[[6, 6], [6, 6], [3, 3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 4, 4, 4], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 4], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 3, 3], [6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [4, 4, 4]]
[[], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6], [], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [], [4, 4, 4], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [], [6, 6]]
[[], [6, 6], [], [6], [], [], [6, 6], [3, 3, 3, 3], [], [3, 3, 3], [], [4, 4, 4], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [], [3, 3, 3, 3], [6, 6], [6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], []]
[[6], [6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [6], [6], [3, 6], [4, 6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [4, 6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [4, 6], [4, 6], [6], [6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [4, 4], [3, 6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [4, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [6], [3, 6], [4, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [4, 4], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [4], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 3, 3], [3, 6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6]]
[[6], [4], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [4, 4], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [3, 6], [3, 6], [6], [4], [3, 3, 3], [6], [3, 3, 3], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 3, 3]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 4]]
[[6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [4, 4], [6], [6], [], [6], [6], [3, 3, 3], [6], [4], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [4, 4], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3, 3], [6], [4]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [3, 3], [4, 4], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [4], [6], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [3, 3], [3, 3], [3], [6], [6], [6], [6], [], [6], [6], [6], [4], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6]]
[[6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [4], [6], [6], [3, 3], [6], [3, 3], [], [3, 3], [6], [3, 3], [6], [6], [3], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [6], [6], [], [6], [4], [6], [3, 3], [3, 3], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [], [6], [3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [4], [], [4, 4], [6], [3], [6], [], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [3, 3]]
[[6], [3, 3], [3], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [], [6], [], [6], [6], [4]]
[[6], [4], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [], [6], [], [3], [6], [3, 3], [6], [6], [6], [3, 3], [], [6], [3, 3], [6], [6], [], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6]]
[[], [6], [6], [6], [6], [4], [3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [3, 3], [], [], [6], [6], [], [6], [], [6], [3, 3], [3, 3]]
[[6], [6], [6], [4], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [], [6], [6], [6], [6], [], [6], [4], [6], [6], [], [6], [6], [6], [3], [6], [], [6], [3, 3], [4], [6], [], [], [3, 3], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [240], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,48. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,48:
-StartAllocation
[[2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]]
[[2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 6]]
[[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 6]]
[[2, 6, 6, 6, 6, 6, 6, 6, 6], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], []]
[[6, 6, 6, 6, 6, 6, 6], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 6, 6], [3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 6, 6, 6, 6, 6, 6], [], [5, 5]]
[[2, 6, 6], [3], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 5]]
[[2, 5, 5, 5, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6], [], [4, 4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6]]
[[2, 5, 5, 5, 5, 6], [], [5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5], [4, 4, 4, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6]]
[[5, 5, 5, 5, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 5, 5], [6, 6, 6, 6], [], [4, 4, 4, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 6], [2], [3, 5, 5, 5]]
[[2, 4, 5, 5, 6], [6, 6, 6, 6], [5, 5, 6, 6], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 6, 6, 6], [5, 5, 5, 6], [5, 5, 6, 6], [6], [3]]
[[6, 6, 6, 6], [], [], [6, 6, 6, 6], [4, 4, 4, 4], [3, 5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [2, 5, 5, 5, 6], [], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6]]
[[5, 5, 5, 6], [], [], [6, 6, 6], [4, 4, 4, 4, 4], [3, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [2, 6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5, 5]]
[[5, 5, 6], [], [4, 4, 4, 4, 4], [3, 5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [2, 6, 6, 6], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6]]
[[2, 5, 5, 6], [3], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [5]]
[[5, 5, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [2, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [], [], [3, 5, 5], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4]]
[[2, 6, 6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [6], [6, 6], [6, 6], [3, 4, 4, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5, 5]]
[[2, 6, 6], [], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 6], [6, 6], [5, 6], [5, 5], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [3], [6, 6]]
[[2, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [], [5, 5, 5], [3, 4, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [5, 5, 5], [], [6, 6], [4, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4]]
[[6, 6], [4, 6], [5], [4, 4, 4], [6], [4, 4, 4], [5, 5], [5, 5], [3, 5, 5], [5, 6], [5, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [2, 6, 6], [5, 5], [6, 6], [4, 4, 4]]
[[4, 6], [5, 5], [5, 5], [6, 6], [3, 5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 6], [5, 6], [6, 6], [5], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [2, 6], [4, 4, 4], []]
[[6, 6], [5, 5], [5, 5], [4, 6], [3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 6], [6], [5, 5], [], [6, 6], [6, 6], [2, 5, 5], [6, 6], [4, 4, 4], [5, 5], [5, 5], [], [5, 5], [4, 4, 4], [4, 4, 4]]
[[2, 6], [5, 5], [4, 4, 4], [5, 5], [], [5, 5], [6, 6], [6, 6], [5, 6], [4, 6], [6], [6, 6], [4, 4, 5], [6, 6], [4, 5], [3], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [], [5, 5]]
[[6, 6], [5, 5], [], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6], [4, 6], [6, 6], [6, 6], [5], [5, 5], [4, 4, 4], [4, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [3, 4, 4], [2]]
[[5, 6], [5, 6], [5], [5, 6], [4, 4, 4], [6], [6], [4, 4, 4], [5], [5, 6], [5, 6], [5, 6], [2, 5], [5, 6], [5, 6], [5, 6], [5, 6], [5, 6], [5], [6], [6], [3, 6], [4, 4, 4], [6], [4, 6], [6], [6]]
[[2, 6], [5, 5], [6, 6], [3], [6, 6], [5, 5], [5, 5], [5, 5], [6], [4, 6], [5, 6], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [], [5, 5], [], [6, 6], [6, 6], [], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], []]
[[2, 6], [], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [], [5, 5], [5, 6], [5, 6], [5, 6], [6, 6], [6, 6], [], [], [6, 6], [5, 5], [4, 4, 4], [3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [], [], [4], [5, 5]]
[[4, 6], [5, 5], [6], [4, 6], [5], [5, 5], [6], [5, 5], [4, 6], [2, 6], [6], [6], [6], [4, 6], [5, 5], [6], [5, 5], [6], [3, 6], [5, 5], [6], [4, 4], [6], [4, 6], [4, 6], [4, 4], [6], [6], [5, 5], [6]]
[[2, 6], [4, 4], [6], [4, 4], [5, 5], [5, 5], [4, 4], [6], [3, 6], [6], [6], [4, 6], [6], [5, 5], [6], [6], [5, 5], [6], [5, 5], [5], [6], [6], [4, 6], [6], [6], [4, 6], [5, 5], [5, 5], [4, 6], [6], [6]]
[[2, 6], [6], [5, 5], [5, 5], [5, 5], [4, 4], [6], [4, 6], [4, 4], [6], [6], [3, 6], [6], [5, 5], [5, 5], [4, 5], [4, 6], [5, 5], [6], [6], [], [6], [4, 4], [5, 5], [4, 6], [6], [6], [6], [6], [6], [6], [6]]
[[2, 6], [5, 5], [6], [6], [5, 5], [6], [6], [5, 5], [5, 5], [6], [6], [6], [6], [6], [6], [5], [6], [5, 5], [4, 4], [4, 6], [6], [5, 5], [4, 6], [6], [6], [6], [6], [3, 6], [], [4, 4], [5, 5], [4, 4], [4, 4]]
[[4, 6], [6], [5, 5], [6], [4, 6], [4, 4], [5, 5], [6], [6], [2, 6], [6], [6], [6], [5, 5], [5, 5], [4, 6], [4, 6], [6], [], [4, 4], [6], [5], [5, 5], [5, 5], [6], [6], [6], [], [], [3, 6], [4, 4], [6], [5, 5], [6]]
[[6], [6], [6], [5], [5], [3, 6], [6], [4, 5], [5], [6], [6], [6], [6], [6], [2, 6], [6], [6], [6], [4, 5], [4, 5], [4, 5], [4, 5], [6], [6], [4, 5], [6], [4, 5], [6], [6], [4, 5], [5], [4, 5], [6], [5], [4, 5]]
[[3, 6], [4, 5], [4, 5], [6], [6], [5], [5], [], [5], [2, 6], [6], [6], [6], [6], [6], [6], [5], [4, 5], [4, 5], [6], [4, 5], [6], [6], [6], [4, 5], [6], [4, 5], [6], [6], [6], [4, 5], [6], [6], [4, 5], [4, 5], [5]]
[[6], [4, 5], [5], [5], [6], [6], [5], [4, 5], [5], [6], [6], [2, 6], [3, 6], [6], [6], [6], [6], [6], [4, 4], [4, 5], [4, 5], [4, 5], [6], [5], [6], [5], [6], [4, 5], [5], [6], [4, 4], [6], [6], [6], [6], [5], [5]]
[[2, 6], [4, 5], [5], [5], [5], [4, 4], [5], [5], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [4, 4], [6], [6], [6], [4, 5], [4, 4], [6], [6], [5], [6], [6], [5], [6], [5], [6], [5], [6], [5]]
[[2, 6], [4, 4], [5], [6], [5], [5], [6], [4, 4], [5], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [5], [6], [6], [5], [6], [6], [6], [4, 4], [5], [4, 5], [5], [5], [5], [5], [5], [6], [5], [4, 4]]
[[2, 6], [5], [6], [5], [6], [5], [5], [6], [5], [6], [6], [6], [6], [6], [6], [6], [5], [4, 4], [5], [5], [5], [6], [5], [5], [3, 5], [4, 4], [6], [6], [4, 4], [6], [4, 4], [6], [6], [4, 4], [6], [5], [5], [6], [6], [5]]
[[5], [6], [5], [6], [5], [6], [6], [6], [6], [6], [6], [5], [6], [5], [2, 5], [5], [6], [4, 4], [6], [4, 4], [5], [], [6], [4, 4], [6], [5], [6], [6], [6], [4, 4], [4, 4], [5], [6], [5], [5], [3, 5], [6], [5], [6], [6], [5]]
[[2, 6], [6], [6], [6], [6], [6], [4, 4], [5], [4, 4], [6], [5], [5], [5], [5], [6], [5], [5], [6], [4, 4], [6], [6], [5], [5], [], [3], [5], [5], [6], [5], [4, 4], [5], [6], [5], [6], [6], [6], [6], [5], [6], [4, 4], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3], [5], [4, 4], [6], [5], [5], [], [6], [6], [6], [6], [5], [], [6], [5], [6], [5], [2, 5], [5], [6], [5], [5], [6], [5], [4, 4], [5], [4, 4], [6], [4, 4], [5], [4, 4], [5], [6], [6], [6], [5]]
[[6], [6], [6], [6], [6], [5], [6], [], [6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 5], [6], [6], [5], [5], [5], [4, 4], [4, 4], [5], [5], [5], [], [5], [4, 4], [6], [], [5], [4, 4], [], [5], [4, 4], [6], [6], [5], [5], [6], [2, 5]]
[[2, 6], [6], [6], [6], [6], [6], [5], [4, 4], [6], [6], [5], [6], [6], [6], [], [6], [6], [6], [5], [5], [5], [5], [3], [], [], [4, 4], [6], [4, 4], [4, 4], [4, 4], [5], [6], [5], [5], [6], [5], [5], [5], [6], [5], [5], [5], [6], [], [6]]
[[6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [], [], [6], [6], [6], [6], [], [6], [], [5], [6], [5], [5], [4, 4], [6], [], [5], [5], [5], [6], [3], [5], [2, 5], [4, 4], [6], [5], [5], [5], [5], [5], [5], [5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [5], [5], [4, 4], [4, 4], [6], [6], [5], [6], [6], [6], [6], [5], [5], [4, 4], [5], [5], [], [5], [5], [6], [5], [6], [5], [6], [4, 4], [], [], [], [6], [5], [], [5], [5], [], [], [2, 6], [4, 4]]
[[6], [6], [6], [6], [6], [3], [2, 4], [6], [4], [5], [6], [5], [6], [5], [6], [4], [5], [5], [4], [4], [5], [5], [], [4], [4], [5], [5], [5], [4], [5], [5], [5], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [4], [], [6], [5]]
-EndAllocation

Instance: [[1], [239], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,48. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 5, 5, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6], [3, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [3, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 5, 5, 5], [4, 4, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6], [6], [3, 3, 3, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6], [5, 5, 5, 5, 6]]
[[], [4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [3, 3, 3, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 6], [5, 5, 5, 5, 5], [6], [5, 5, 5, 6]]
[[], [5, 5, 5, 5], [3, 4, 4, 4, 4, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 6], [], [], [4, 4, 4, 4, 4, 4], [6], [3, 3, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [3, 3, 3, 4, 6], [6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], []]
[[], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 4, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [6, 6], [4, 4, 4, 4, 4], [6, 6, 6], []]
[[], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4, 4], [6, 6, 6], [3, 3, 3, 6], [5, 5, 5, 5], [6, 6, 6], [], [4, 4, 4, 4, 4], [6, 6, 6], [], [4, 4, 4, 4, 4], [6, 6, 6], [4, 6, 6], [5, 5, 5, 5]]
[[], [6, 6, 6], [4, 4, 4, 4], [], [3, 3, 3, 4, 5], [5, 5, 5], [4, 4, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [], [4, 4, 4, 4], [4], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [4, 4, 4, 4], [4, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [3, 6, 6], [4, 6, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [5, 5, 5], [4, 6, 6], [4, 6, 6], [], [6], [3, 6, 6], [3, 6, 6]]
[[], [6, 6], [5, 5, 5], [5, 5, 6], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [3, 3, 3, 6], [], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6], [5, 5, 5], [6, 6], [6, 6], [6, 6]]
[[], [4, 6, 6], [6, 6], [4, 5, 5], [4, 4, 6], [6, 6], [4, 4, 4, 4], [3, 3, 3, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6], [6, 6], [], [4, 4, 4, 4]]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [3, 3, 3, 5], [4, 5, 5], [6], [], [4, 4, 6], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [4, 5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [5, 6], [4, 4, 4]]
[[], [6, 6], [3, 3, 3, 4], [6, 6], [5, 5], [], [6, 6], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [4, 5, 5], [4, 4, 4], [4, 4, 6], [5, 5], [4, 4, 4], [6, 6]]
[[], [], [5, 5], [6, 6], [6, 6], [4], [6, 6], [3, 3, 3], [5, 5], [5, 5], [4, 4, 4], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6], [6, 6]]
[[], [6, 6], [3, 3, 3], [6, 6], [5, 5], [4, 4, 4], [], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [], [5, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 5], [5, 5]]
[[], [6, 6], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [3, 3, 3], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [], [4, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [], [6, 6]]
[[], [6], [3, 3, 3], [6, 6], [6], [5, 5], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [6], [5, 5], [4, 4, 4], [], [6, 6], [], [6, 6], [6, 6], [4], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [5, 5], []]
[[], [5, 5], [5, 5], [6, 6], [5, 5], [5, 5], [6], [4, 4, 4], [], [], [6], [6, 6], [4], [], [3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6], [4, 4, 4], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [4, 4, 4], [], [], [5, 5], [], [6, 6], [], [5, 5], [4, 6], [3, 3, 3], [4, 4, 4], [6, 6], [], [], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], []]
[[6], [5, 5], [5, 5], [6], [4, 4], [3, 3, 3], [6], [6], [6], [6], [6], [4, 6], [4, 4], [4, 6], [4, 6], [5, 5], [4, 4], [6], [4, 6], [6], [4, 6], [6], [5, 5], [4, 6], [6], [4, 6], [6], [4, 6], [6], [4, 4]]
[[6], [6], [3, 3, 3], [6], [4, 6], [4, 4], [6], [5, 5], [4, 6], [4, 6], [5, 5], [6], [4, 6], [6], [6], [4, 4], [6], [6], [4, 6], [6], [4, 4], [6], [4, 6], [5, 5], [6], [6], [6], [4, 4], [6], [4, 4], [5, 5]]
[[6], [5, 5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [4, 6], [5, 5], [4, 6], [6], [4, 4], [5, 5], [5, 5], [4, 6], [4, 6], [6], [4, 4], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [4, 4]]
[[6], [6], [6], [3, 3, 3], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [4, 6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [4, 6], [5, 5], [6], [5, 5], [5, 5], [4, 4], [4, 4], [5, 5], [6], [6]]
[[6], [6], [6], [4, 6], [5, 5], [6], [4, 4], [4, 4], [6], [3, 3, 3], [6], [4, 4], [6], [6], [4, 4], [4, 4], [6], [5, 5], [6], [6], [6], [6], [4, 4], [6], [], [6], [6], [4, 6], [5, 5], [5, 5], [6], [6], [6], [4, 4]]
[[5], [6], [6], [6], [6], [4, 5], [4, 4], [6], [6], [4, 4], [6], [4, 4], [4, 5], [6], [4, 5], [6], [3, 3, 3], [4, 5], [4, 5], [6], [5], [6], [6], [4, 5], [4, 4], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6]]
[[6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [4, 5], [6], [6], [6], [4, 5], [5], [4, 4], [6], [4, 5], [6], [6], [5], [4, 5], [6], [6], [4, 4], [4, 4], [4, 4], [6], [4, 4], [6], [4, 4], [6], [6], [6], [5], [6]]
[[5], [3, 3, 3], [6], [4, 4], [6], [6], [6], [4, 4], [5], [6], [5], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [6], [6], [6], [4, 5], [5], [6], [5], [6], [6], [6], [6], [5], [6], [4, 5], [6], [4, 4]]
[[6], [6], [5], [4, 4], [6], [6], [5], [6], [5], [5], [6], [6], [6], [6], [4, 4], [4, 4], [6], [5], [6], [3, 3, 3], [6], [5], [6], [6], [5], [4, 4], [6], [6], [4, 4], [6], [4, 4], [5], [4, 4], [6], [4, 4], [6], [6], [6]]
[[], [6], [4, 4], [6], [5], [4, 4], [5], [6], [5], [6], [6], [6], [6], [6], [4, 4], [5], [6], [5], [6], [6], [6], [6], [5], [6], [4, 4], [6], [6], [4, 4], [6], [4, 4], [6], [6], [5], [4, 4], [3, 3, 3], [6], [6], [4, 4], [5]]
[[6], [4, 4], [6], [4, 4], [5], [4, 4], [4, 4], [6], [6], [3, 5], [6], [5], [6], [5], [6], [6], [6], [6], [6], [5], [6], [6], [], [4, 4], [6], [6], [4, 4], [5], [5], [6], [4, 4], [3, 3], [6], [6], [4, 4], [6], [6], [6], [5], []]
[[6], [5], [6], [6], [4], [6], [6], [6], [3, 3], [4, 4], [], [6], [6], [6], [4, 4], [6], [4, 4], [3, 4], [6], [5], [6], [], [6], [6], [6], [5], [5], [5], [6], [5], [6], [6], [4, 4], [5], [6], [6], [4, 4], [6], [4, 4], [5], [4, 4]]
[[], [], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [3, 4], [6], [6], [5], [6], [4, 4], [4, 4], [6], [5], [4, 4], [6], [6], [5], [6], [5], [4, 4], [], [5], [6], [6], [6], [6], [6], [4], [5], [5], [4, 4], [6], [3, 3], [6], [6], [5]]
[[], [6], [4, 4], [], [6], [6], [5], [6], [6], [5], [4, 4], [6], [], [6], [6], [6], [5], [4, 4], [3, 5], [4, 4], [6], [4, 4], [6], [3, 3], [6], [], [6], [5], [5], [6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [], [5], [5], [6], [6], [4, 4]]
[[6], [6], [6], [6], [6], [5], [4, 4], [6], [5], [4, 4], [5], [5], [6], [4, 4], [], [4, 4], [6], [6], [5], [4, 4], [], [3, 3], [6], [6], [], [], [6], [6], [4, 4], [4, 4], [6], [], [6], [5], [5], [3], [6], [6], [6], [6], [4, 4], [6], [5], [6]]
[[6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [], [5], [6], [6], [5], [], [5], [], [5], [4, 4], [], [6], [3, 3], [4, 4], [4, 4], [6], [4, 4], [], [6], [5], [6], [6], [5], [5], [4, 4], [6], [6], [4, 4], [6], [3], [], [6], [6], [5], [4, 4], [6]]
[[5], [5], [4, 4], [6], [6], [6], [], [6], [6], [], [6], [], [6], [6], [5], [6], [6], [6], [6], [4, 4], [5], [4, 4], [], [], [5], [6], [3, 3], [5], [4, 4], [5], [5], [], [4, 4], [4, 4], [], [6], [6], [4, 4], [6], [3], [4, 4], [6], [6], [6], [6], [6]]
[[], [5], [], [5], [6], [5], [4], [4, 4], [6], [6], [6], [6], [6], [3, 3], [5], [6], [6], [4], [4, 4], [6], [], [6], [6], [6], [5], [4], [4, 4], [6], [5], [6], [4, 4], [], [5], [6], [6], [4, 4], [6], [], [6], [5], [6], [], [3, 4], [6], [6], [], [4, 4]]
[[4], [4], [5], [5], [3], [6], [4], [6], [6], [4], [6], [6], [6], [4], [4], [4], [4], [4], [6], [5], [6], [6], [6], [4], [4], [6], [5], [5], [6], [4], [6], [6], [4], [5], [4], [6], [6], [4], [3, 3], [4], [5], [6], [6], [6], [], [6], [6], [5]]
-EndAllocation

Instance: [[1], [238], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,48. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,48:
-StartAllocation
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6], [], [5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4], [6, 6, 6, 6, 6], [6]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4], [5, 5, 5], [], [4, 4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4], [3, 3, 3, 3, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [], [5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6]]
[[6, 6, 6], [5, 5], [6, 6, 6], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [3, 3, 3, 3], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[5, 5, 5, 5], [4, 4, 4, 4, 4], [3, 3, 3, 3, 5], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [], [6, 6, 6], [5, 6], [6, 6, 6], [4, 4, 4, 4, 4], [], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], []]
[[5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [5], [5, 5, 5], [5, 5, 6], [4], [5, 5, 5], [6, 6, 6], [5, 5, 5], [5, 5, 5], [], [6, 6, 6], [3, 3, 3, 3, 4]]
[[5, 5, 5], [6, 6, 6], [5], [6, 6, 6], [4, 4, 5, 5], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [3, 3, 3, 3, 6], [5, 5, 5], [], [], [6, 6, 6], [6, 6, 6], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5]]
[[5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [5, 6, 6], [5, 5, 5], [5, 6, 6], [5, 6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [4, 4], [6, 6], [5, 5, 5], [6, 6]]
[[5, 5, 5], [], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [6, 6], [5, 5, 5], [4, 6, 6], [], [4, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [], [4, 4, 4, 4]]
[[6, 6], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [], [], [5, 5, 5], [6, 6], [4, 6, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [], [6, 6], [6, 6], [5, 5, 5], [3, 3, 3, 3, 4], [6, 6]]
[[5, 6], [5, 5], [], [6, 6], [4, 4, 4], [5, 5], [4, 5, 5], [3, 5, 5], [5, 5], [5, 5], [5, 5], [3, 5, 5], [6, 6], [5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6], [4, 4, 4], [3, 3, 6]]
[[4, 5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [], [6, 6], [3, 3, 3, 3], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [], [5, 5]]
[[5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4], [4, 4, 4], [5, 5], [5, 5], [5, 5], [], [6, 6], [3, 3, 3, 3], [5, 5], [6, 6], [6, 6], [5, 5], [5, 5], [], [5, 5], [4, 4, 4], [4, 4, 4], [5, 5]]
[[5, 5], [5, 5], [5, 5], [6], [5, 5], [6, 6], [3, 3, 3, 3], [4, 6], [6, 6], [5, 5], [5, 5], [4, 4, 4], [6, 6], [], [], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [], [5, 5], [4, 4, 4]]
[[5, 5], [6, 6], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [4], [5, 5], [5, 5], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5], [3, 3, 3, 3], [], [4, 4, 4]]
[[5, 5], [4], [5, 5], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [5, 5], [5, 5], [6, 6], [5, 5], [6, 6], [], [6, 6], [5, 5], [5, 5], [], [], [3, 3, 3, 3], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [5, 5]]
[[5, 5], [6, 6], [], [6, 6], [5, 5], [5, 5], [5, 5], [], [], [5, 5], [5, 5], [3, 3, 3, 3], [6, 6], [4, 4, 4], [6, 6], [], [5, 5], [4, 4, 4], [5, 5], [6, 6], [], [5, 5], [4, 4, 4], [6, 6], [6, 6], [4], [], [6, 6]]
[[5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [], [], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [], [6, 6], [5, 5], [4, 4, 4], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [5, 5], [4], [], [], [], [5, 5], [6, 6]]
[[4, 6], [5, 5], [6], [6], [5, 5], [6], [6], [4, 4], [5, 5], [5, 5], [5, 5], [6], [4, 4], [6], [4, 6], [5, 5], [6], [3, 3, 3], [5, 5], [6], [4, 6], [6], [], [4, 6], [3, 4], [6], [6], [5, 5], [5, 5], [4, 6]]
[[5, 5], [6], [6], [5, 5], [5, 5], [4, 4], [6], [3, 3, 3], [4, 6], [5, 5], [5, 5], [5, 5], [5, 5], [6], [4, 6], [], [6], [5, 5], [4, 4], [3, 6], [6], [6], [6], [], [6], [5, 5], [6], [4, 6], [6], [4, 6], [4, 4]]
[[3, 5], [6], [6], [5, 5], [4, 4], [], [6], [4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [6], [6], [4, 6], [5], [4, 6], [3, 6], [], [6], [4, 4], [5, 5], [4, 6], [6], [], [3, 6], [3, 6], [5, 5], [6], [4, 6], [6]]
[[5, 5], [4, 6], [4, 4], [5, 5], [6], [3, 6], [5, 5], [5, 5], [6], [5, 5], [5, 5], [6], [6], [3, 6], [], [6], [5, 5], [4, 6], [5, 5], [6], [3, 6], [6], [3, 6], [], [5, 5], [], [4, 4], [], [6], [6], [4, 4], [4, 4], [6]]
[[3, 6], [6], [6], [5], [6], [5], [6], [4, 5], [4, 5], [4, 5], [4, 5], [4, 5], [3, 6], [4, 5], [6], [6], [6], [4, 5], [6], [4, 5], [6], [3, 5], [6], [3, 6], [6], [5], [5], [5], [4, 5], [4, 5], [6], [5], [5], [6]]
[[4, 5], [6], [6], [6], [6], [6], [4, 5], [5], [6], [4, 5], [4, 5], [4, 5], [6], [6], [4, 5], [5], [6], [6], [4, 5], [5], [5], [6], [3, 3, 3], [6], [6], [6], [6], [5], [4, 5], [4, 5], [6], [3, 5], [5], [4, 5], [5]]
[[6], [5], [5], [6], [5], [6], [6], [4, 5], [5], [4, 5], [4, 5], [6], [6], [6], [4, 5], [4, 5], [4, 5], [4, 5], [5], [5], [5], [6], [6], [6], [6], [4, 5], [6], [6], [5], [5], [3, 6], [6], [6], [4, 4], [3, 3, 3], [5]]
[[6], [4, 5], [5], [6], [5], [6], [5], [5], [3, 6], [6], [4, 5], [4, 5], [6], [4, 5], [6], [6], [6], [6], [6], [3, 3, 3], [4, 5], [6], [6], [6], [4, 5], [5], [4, 4], [5], [6], [4, 4], [5], [5], [5], [5], [6], [5], [5]]
[[6], [5], [6], [5], [4, 4], [6], [4, 5], [5], [3, 6], [5], [5], [5], [5], [6], [3, 6], [5], [5], [4, 4], [6], [5], [4, 4], [6], [5], [3, 5], [4, 4], [5], [6], [6], [6], [3, 5], [5], [6], [5], [6], [4, 5], [6], [6], [6]]
[[3, 6], [5], [6], [5], [6], [3, 6], [4, 4], [6], [6], [4, 5], [5], [5], [6], [6], [6], [5], [5], [6], [5], [5], [5], [5], [5], [3, 5], [6], [], [6], [4, 4], [6], [4, 4], [6], [4, 5], [5], [5], [3, 6], [5], [5], [4, 4], [6]]
[[5], [4, 4], [5], [5], [6], [6], [5], [6], [4, 4], [6], [5], [6], [5], [5], [5], [6], [3, 3], [5], [6], [5], [6], [6], [6], [3, 5], [4, 4], [5], [5], [4, 4], [5], [5], [6], [6], [4, 4], [3, 5], [6], [5], [6], [6], [5], [6]]
[[5], [6], [5], [6], [3, 5], [6], [6], [5], [5], [4, 4], [4, 4], [5], [5], [6], [5], [3, 3], [5], [4, 4], [6], [6], [5], [], [6], [4, 4], [6], [5], [6], [6], [6], [5], [5], [5], [5], [5], [5], [4, 4], [3, 5], [6], [6], [6], [6]]
[[4, 4], [5], [5], [5], [6], [4, 4], [5], [6], [6], [5], [3, 5], [6], [6], [3, 3], [6], [4, 4], [], [6], [6], [5], [3, 5], [5], [6], [5], [6], [], [6], [5], [4, 4], [5], [5], [6], [5], [6], [5], [5], [6], [6], [5], [5], [4, 4], [6]]
[[5], [5], [5], [5], [5], [5], [6], [3, 3], [6], [6], [], [6], [4, 4], [6], [6], [6], [3, 3], [6], [], [5], [6], [6], [6], [6], [6], [5], [5], [5], [5], [6], [5], [4, 4], [6], [4, 4], [5], [4, 4], [5], [4, 4], [5], [6], [5], [5], [5]]
[[5], [5], [5], [6], [5], [6], [5], [6], [6], [5], [6], [], [6], [6], [6], [5], [], [3, 3], [6], [3, 5], [4, 4], [4, 4], [5], [6], [5], [6], [5], [], [6], [], [6], [4, 4], [6], [4, 4], [5], [5], [5], [5], [3, 5], [6], [5], [6], [5], [4, 4]]
[[3, 5], [6], [6], [6], [5], [5], [6], [6], [5], [], [6], [3, 5], [5], [3, 5], [6], [5], [5], [4, 4], [], [6], [6], [6], [6], [], [], [6], [5], [], [], [3, 5], [4, 4], [5], [5], [4, 4], [5], [5], [6], [5], [5], [4, 4], [4, 4], [5], [6], [6], [6]]
[[5], [6], [5], [5], [5], [6], [], [6], [6], [6], [3], [6], [6], [5], [6], [4, 4], [4, 4], [3, 3], [6], [5], [5], [5], [], [5], [6], [], [5], [3, 5], [5], [6], [], [6], [4, 4], [], [6], [5], [5], [5], [6], [6], [5], [5], [4, 4], [4, 4], [5], [6]]
[[6], [3, 5], [6], [5], [4, 4], [5], [6], [6], [], [], [6], [6], [5], [6], [3, 3], [], [5], [5], [5], [5], [4, 4], [], [6], [6], [6], [], [6], [5], [6], [4, 4], [], [6], [], [4, 4], [5], [5], [6], [5], [5], [5], [5], [5], [4, 4], [6], [5], [6], [3, 5]]
[[5], [5], [5], [5], [], [3, 3], [4], [], [4], [5], [5], [5], [5], [6], [6], [6], [5], [6], [4], [5], [4], [6], [6], [6], [6], [4], [4], [6], [5], [5], [6], [6], [4], [6], [5], [6], [4], [6], [5], [5], [5], [4], [5], [5], [6], [4], [3, 3], [6]]
-EndAllocation

Instance: [[1], [237], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,48. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,48:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5]]
[[3, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6], [], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 4, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3], [5, 5, 5, 5, 5, 5, 5, 5]]
[[3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [], [4, 4, 4], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [5, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6]]
[[4, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4], [], [], [4, 4, 4, 4, 4, 4, 4]]
[[6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [5], [4, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[5, 5, 5, 5], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6]]
[[6, 6, 6], [], [6, 6, 6], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [4, 4, 6], [4, 4, 4, 4, 4], [5, 5, 5, 6], [3, 3, 3, 3], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4]]
[[5, 5, 6], [4, 4, 4, 4, 4], [3, 3, 3, 3], [4, 4, 6], [5, 5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [5], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], []]
[[5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [3, 3, 3, 3], [5, 5, 5], [], [6, 6], [5, 5, 5], [6, 6, 6], [5, 5, 5], [5, 5, 5], [], [6, 6, 6], [4, 4, 4, 4]]
[[5, 5, 5], [6, 6, 6], [], [5, 5, 5], [4, 4, 4, 4], [3, 5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [3, 3, 6, 6], [6, 6, 6], [], [3], [6, 6, 6], [6, 6, 6], [5, 5, 5], [], [4, 4, 4, 4], [5, 5, 5]]
[[5, 5, 5], [4, 4, 4, 4], [5, 5], [6, 6], [4, 4, 4, 4], [5, 5, 5], [5, 5, 5], [5, 6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6], [], [6, 6], [5, 5, 5], [6, 6]]
[[5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [5], [6, 6], [6, 6], [5, 5, 6], [6, 6], [], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 5, 5], [3, 3, 3, 3], [], [4, 4, 4, 4]]
[[6, 6], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5], [], [6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [], [6, 6], [4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3], [6, 6]]
[[4, 5, 5], [5, 5], [5], [3, 3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [4, 4, 4], [], [4, 4, 4], [6, 6]]
[[4, 5, 5], [5, 5], [6, 6], [5, 5], [4, 4, 6], [4, 4, 4], [], [6, 6], [6, 6], [5], [5, 5], [], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [4, 4, 4], [5, 5], [5, 5]]
[[6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 4, 4], [5, 5], [4, 4, 5], [5, 5], [5], [6], [3, 3, 3, 3], [5, 5], [6, 6], [4, 4, 4], [5, 5], [5, 5], [], [5, 6], [4, 4, 4], [4, 6], [5, 5]]
[[5, 5], [5, 5], [5, 5], [6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6], [5, 5], [5, 6], [4, 4, 4], [6, 6], [], [], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4]]
[[5, 5], [6, 6], [], [5, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [5], [6, 6], [5, 5], [3, 3, 3, 3], [], [4, 4, 4]]
[[5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [], [6], [4, 4, 4], [5, 5], [], [5], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [], [], [3, 3, 3, 3], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[5], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [5, 5], [], [], [4, 4, 4], [5, 5], [5, 5], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6], [5, 5], [4, 4, 4], [5, 5], [6, 6], [], [], [4, 4, 4], [6, 6], [6, 6], [], [], [6, 6]]
[[], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [], [], [6], [5], [5, 5], [5, 5], [6, 6], [], [], [6, 6], [5, 5], [4, 4, 4], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [], [], [4, 4, 4], [5, 5], [6, 6]]
[[4, 6], [5, 5], [6], [6], [5, 5], [5, 5], [6], [4, 6], [4, 6], [5], [5, 5], [6], [4, 4], [6], [6], [5, 5], [6], [3, 3, 3], [5, 5], [6], [4, 4], [6], [4, 4], [4, 6], [4, 4], [6], [3, 6], [5, 5], [6], [6]]
[[4, 5], [4, 6], [6], [6], [5, 5], [4, 4], [6], [3, 3, 3], [3, 4], [5, 5], [5, 5], [6], [5, 5], [6], [4, 6], [], [6], [5, 5], [4, 4], [4, 6], [6], [6], [6], [6], [4, 6], [5, 5], [5, 5], [6], [6], [6], [4, 4]]
[[3, 5], [6], [6], [4, 5], [4, 4], [6], [6], [4, 4], [5, 5], [5, 5], [5, 5], [6], [3, 3, 3], [5, 5], [6], [4, 6], [6], [4, 4], [6], [6], [5], [4, 4], [5, 5], [4, 6], [6], [], [6], [6], [5, 5], [4, 6], [6], [6]]
[[4, 5], [4, 6], [4, 4], [6], [6], [3, 3, 3], [6], [5, 5], [5, 5], [3, 6], [5, 5], [6], [], [6], [6], [5, 5], [5, 5], [4, 4], [5, 5], [6], [4, 6], [4, 6], [6], [6], [5, 5], [], [4, 6], [], [], [6], [4, 4], [4, 6], [6]]
[[3, 6], [4, 4], [6], [4, 5], [4, 4], [4, 5], [6], [4, 5], [6], [6], [3, 6], [4, 5], [4, 5], [4, 5], [5], [6], [3, 6], [5], [4, 5], [6], [6], [5], [3, 6], [6], [6], [6], [6], [5], [6], [4, 5], [6], [5], [5], [5]]
[[3, 6], [4, 5], [5], [5], [5], [5], [4, 5], [3, 6], [3, 5], [3, 5], [6], [6], [6], [6], [4, 5], [4, 5], [4, 4], [6], [4, 4], [6], [6], [4, 4], [5], [6], [6], [6], [6], [4, 5], [6], [4, 5], [6], [6], [5], [6], [5]]
[[3, 6], [6], [6], [6], [4, 5], [5], [5], [6], [4, 4], [3, 5], [6], [6], [6], [4, 4], [3, 6], [6], [4, 5], [4, 5], [4, 5], [5], [5], [6], [5], [4, 4], [6], [3, 5], [6], [6], [5], [5], [6], [5], [4, 4], [6], [5], [6]]
[[3, 6], [4, 4], [5], [5], [4, 5], [6], [5], [6], [4, 5], [3, 6], [6], [6], [6], [6], [4, 5], [5], [5], [6], [6], [3, 3], [4, 4], [4, 5], [6], [5], [5], [6], [4, 4], [6], [6], [6], [6], [6], [5], [5], [5], [5], [4, 4]]
[[6], [4, 5], [6], [], [4, 4], [6], [6], [4, 5], [3, 3], [4, 5], [6], [4, 5], [5], [6], [5], [5], [6], [4, 4], [3, 6], [5], [4, 4], [6], [5], [3, 5], [6], [6], [6], [6], [5], [5], [5], [6], [6], [4, 4], [5], [6], [5], [6]]
[[3, 5], [5], [6], [5], [6], [5], [4, 4], [6], [6], [6], [5], [4, 5], [5], [4, 5], [5], [6], [4, 5], [6], [4, 4], [5], [6], [5], [6], [6], [], [], [6], [4, 4], [6], [4, 4], [6], [6], [6], [4, 5], [3, 3, 3], [6], [5], [6], [5]]
[[5], [4, 4], [4, 4], [5], [6], [5], [6], [3, 5], [4, 4], [6], [5], [5], [6], [5], [5], [6], [3, 3], [6], [6], [5], [6], [6], [6], [5], [4, 4], [6], [3, 5], [6], [4, 4], [], [4, 4], [6], [5], [5], [6], [5], [6], [6], [5], [6]]
[[5], [5], [6], [6], [6], [6], [5], [5], [6], [6], [4, 4], [6], [6], [4, 4], [5], [3, 3], [5], [], [5], [6], [5], [], [6], [4, 4], [6], [5], [6], [6], [6], [6], [4, 4], [5], [3, 5], [5], [5], [4, 4], [5], [3, 5], [6], [6], [4, 4]]
[[6], [], [5], [5], [6], [4, 4], [3, 5], [5], [6], [3, 5], [], [5], [6], [3, 3], [6], [4, 4], [5], [6], [6], [4, 4], [6], [4, 4], [6], [4, 4], [6], [], [6], [5], [6], [5], [5], [6], [5], [6], [5], [5], [6], [5], [6], [6], [4, 4], [5]]
[[6], [6], [6], [5], [5], [5], [6], [3, 3], [5], [4, 4], [], [], [4, 4], [], [6], [6], [6], [6], [5], [5], [6], [6], [6], [6], [6], [5], [6], [5], [3, 3], [6], [5], [4, 4], [5], [4, 4], [6], [4, 4], [5], [4, 4], [5], [6], [5], [5], [5]]
[[5], [5], [6], [5], [6], [6], [5], [6], [6], [4, 4], [6], [6], [6], [6], [5], [5], [], [3, 3], [5], [5], [4, 4], [4, 4], [5], [6], [5], [6], [6], [], [6], [], [6], [4, 4], [6], [5], [], [4, 4], [6], [5], [5], [5], [3, 3], [6], [5], [4, 4]]
[[6], [6], [6], [6], [6], [5], [], [6], [5], [5], [6], [3, 5], [5], [3, 3], [6], [5], [5], [4, 4], [], [6], [6], [6], [6], [4, 4], [6], [6], [5], [], [], [3, 5], [4, 4], [5], [], [4, 4], [5], [], [6], [5], [5], [4, 4], [4, 4], [5], [5], [6], [6]]
[[6], [3, 5], [], [6], [5], [6], [6], [6], [6], [6], [6], [5], [5], [], [6], [4, 4], [4, 4], [3, 3], [6], [5], [5], [5], [], [5], [6], [], [5], [3, 5], [], [], [4, 4], [6], [6], [], [6], [5], [5], [5], [6], [6], [4, 4], [5], [4, 4], [4, 4], [6], [5]]
[[4, 4], [5], [6], [3, 5], [5], [5], [], [6], [], [], [6], [6], [4, 4], [6], [3, 3], [], [5], [5], [5], [3, 5], [4, 4], [], [6], [6], [6], [], [5], [6], [6], [4, 4], [5], [6], [6], [4, 4], [5], [], [6], [5], [5], [], [5], [6], [4, 4], [5], [6], [6], [6]]
[[5], [5], [5], [5], [6], [4], [4], [], [4], [5], [5], [5], [5], [6], [6], [6], [], [6], [4], [6], [4], [6], [6], [6], [6], [4], [4], [6], [3, 3], [5], [6], [6], [4], [6], [5], [5], [4], [6], [5], [5], [5], [4], [5], [4], [6], [4], [3, 3], [6]]
-EndAllocation

Instance: [[1], [236], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,48. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,48:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [5, 6, 6, 6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[6, 6], [5, 5, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6], [6, 6], [3, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [4, 6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5, 6], [], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [4, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [5, 5, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [3, 4, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [3, 6, 6, 6]]
[[], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 6, 6], [6], [3, 3, 6, 6]]
[[], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6], [6], [6, 6, 6], [], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [5, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 6, 6], [], [6, 6, 6], [6, 6, 6]]
[[], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6], [6, 6], [3, 6, 6], [], [3, 3, 6], [6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [6, 6], [], [3, 6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6], [6, 6], [4, 6], [5, 5], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [5, 5], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], []]
[[], [6, 6], [3, 3, 3, 3], [], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [], [], [6, 6], [6, 6], [3, 3, 3, 3], [4, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6]]
[[], [], [6, 6], [6, 6], [], [], [5, 5], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [], [], []]
[[], [], [6, 6], [3, 3, 3, 3], [], [5, 5], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], []]
[[6], [6], [5, 5], [6], [4, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [3, 6], [4, 6], [6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [5, 5], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 3, 3], [6], [3, 6], [4, 6], [6], [5, 5], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6]]
[[6], [3, 6], [3, 6], [6], [6], [5, 5], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [3, 4], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 5], [6], [5], [6], [6], [6], [6], [6], [3, 3, 3], [6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [5], [6], [6], [6], [3, 6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [4], [3, 6], [3, 3, 3], [6], [3, 6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [5], [6], [6], [6], [3, 3, 3], [6], [4], [6], [3, 6], [3, 3, 3], [3, 6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6]]
[[6], [4], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6]]
[[], [5], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [3, 6], [3, 5], [6], [6], [3, 3, 3], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3, 3], [6], [3, 3], [3, 3, 3], [6], [], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3], [3, 3], [3, 3], [4], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [5], [6], [6], [6], [6], [3, 5], [6], [3, 3], [6]]
[[6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [6], [4], [3, 3], [3, 3], [3, 3], [3, 3], [6], [6], [6], [5], [6], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [5], [6], [3, 3], [6], [3, 3], [5], [6], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [4], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [3, 3]]
[[6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 3], [3, 3], [], [6], [6], [6], [], [3, 3], [6], [3, 3], [3], [6], [6], [6], [6], [3, 3], [], [5], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [6], [6], [6]]
[[6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [4], [5], [3, 3], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [5], [], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [3, 3], [6], [6], [], [6]]
[[6], [5], [6], [6], [6], [3, 4], [3], [6], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [6], [3, 3], [], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [], [6]]
[[6], [6], [3, 3], [3, 3], [6], [3], [6], [], [6], [6], [6], [3, 3], [6], [], [6], [6], [], [6], [6], [3, 3], [6], [6], [6], [], [6], [], [6], [6], [6], [3, 4], [3, 3], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [5], [6], [3, 3], [], [6], [6]]
[[6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [5], [], [3, 3], [6], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [5], [3, 3], [6], [6], [6], [3, 3], [6], [], [6], [], [6], [], [6], [6], [], [6], [6], [6], [6], [4], [], [3, 3], [6]]
[[], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [], [6], [6], [6], [3, 3], [6], [6], [3, 3], [], [3, 3], [], [3, 3], [6], [6], [], [6], [], [], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [5], [6], [5], [4], [6], [], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [245], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,49. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,49:
-StartAllocation
[[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6]]
[[2, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [4, 6]]
[[2, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4], [6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [2, 4, 4], [6, 6, 6, 6, 6, 6], [5], [4, 4, 6, 6, 6, 6, 6]]
[[2, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 6], [6, 6, 6], [4, 4, 4, 4, 4, 6, 6]]
[[2, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6]]
[[2, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6], [5, 6, 6, 6, 6], [6, 6, 6, 6, 6], []]
[[2, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 6, 6, 6, 6], [5, 5, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4]]
[[2, 5, 5, 5, 5], [], [], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 5, 6], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5]]
[[2, 5, 6, 6], [6, 6, 6, 6], [4, 5, 5, 5, 5], [4, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [], [], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6]]
[[2, 5, 6, 6], [6, 6, 6], [], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4]]
[[2, 5, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [], [5, 5, 5, 5], [4, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5]]
[[5, 5, 5, 5], [], [], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4], [4, 4, 4, 4, 4], [5, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [2, 6, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6]]
[[2, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 6], [5, 5, 5], [6, 6, 6], [5, 5, 5], [4, 4, 4, 6], [6, 6, 6], [], [5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6, 6], []]
[[2, 4, 4, 6], [], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5], [6, 6], [], [6, 6], [5, 5, 6], [5, 6, 6], [5, 5, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [5, 5, 5]]
[[2, 5, 5, 5], [], [6, 6], [5, 5, 5], [], [6, 6], [5, 5, 5], [4, 4, 4, 4], [4, 4], [5, 5, 5], [5, 5, 5], [5, 5, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6]]
[[2, 6, 6], [6, 6], [6, 6], [5, 5, 5], [], [], [4, 4, 4, 4], [], [], [5, 5, 6], [4, 6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[2, 5, 6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 6], [5, 6], [6, 6], [], [5, 5, 5], [6, 6], [4, 4, 4, 4], [6, 6], [], [], [6, 6], [4, 4, 4, 4], [5, 5, 5], []]
[[2, 5, 5], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [4, 5, 5], [5, 5], [5, 6], [4, 5, 5], [6, 6], [6, 6], [4, 5, 5], [], [], [6, 6], [4, 5, 5], [6, 6], [4, 5, 5], []]
[[2, 4, 6], [], [4, 4, 4], [5, 5], [6, 6], [5], [6, 6], [6, 6], [6, 6], [4, 5, 5], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6]]
[[2, 4, 6], [6, 6], [5, 5], [6, 6], [], [6, 6], [5, 5], [5, 5], [5, 5], [4, 4, 4], [4, 5], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [5, 5], [], [4, 4, 4]]
[[2, 4, 6], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [5, 5], [4, 5], [6, 6], [], [], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [5, 5], [], [6, 6], [6, 6], [5, 5]]
[[2, 5, 5], [], [5, 5], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [6], [5], [6, 6], [5, 5], [], [5, 5], [], [6, 6], [6, 6], [6, 6], [5, 5], [], [4, 4, 4], [4, 4], [4, 4, 4], [5, 5], [4, 4, 4], [4, 4, 4]]
[[2, 6], [5, 5], [], [6], [4, 4, 4], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [4, 6], [4], [], [5], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [5, 5], [6, 6], [], [6, 6], [5, 5], [4, 4, 4], []]
[[2, 5, 5], [5, 5], [5, 5], [6, 6], [], [], [6, 6], [5, 5], [4, 4, 4], [5, 5], [5, 5], [4, 6], [6, 6], [4], [6, 6], [5], [4, 4, 4], [], [6, 6], [6, 6], [], [6, 6], [5, 5], [], [], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4]]
[[2, 5, 5], [], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [4, 4, 4], [5, 6], [5, 5], [], [5, 5], [], [], [5, 5], [4, 4, 4], [], [6, 6], [4, 4], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6]]
[[2, 5], [5, 5], [6], [6], [4, 4], [6], [5, 5], [4, 6], [5, 5], [5, 5], [5, 5], [5, 5], [6], [5, 5], [4, 4], [6], [4, 6], [6], [6], [4, 6], [6], [6], [5, 5], [6], [4, 4], [4, 4], [4, 6], [6], [6], [4, 4], [6]]
[[2, 5], [5, 5], [6], [4, 5], [5, 5], [5, 5], [4, 4], [4, 4], [4, 4], [5, 5], [5, 5], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [5], [4, 6], [6], [5, 5], [4, 6], [4, 6], [5, 5], [4, 4], [6], [6]]
[[2, 5], [4, 4], [4, 6], [4, 4], [4, 4], [6], [6], [5, 5], [5], [5, 5], [5, 5], [6], [4, 4], [4, 6], [6], [5], [6], [4, 4], [4, 4], [6], [5, 5], [6], [6], [6], [6], [6], [6], [5, 5], [6], [5, 5], [5, 5], [6], [6]]
[[2, 6], [4, 4], [6], [6], [6], [6], [6], [5, 5], [4, 6], [5, 5], [5, 5], [6], [4, 6], [6], [6], [6], [6], [4, 4], [5, 5], [5, 5], [5, 5], [], [], [4, 4], [4, 4], [6], [6], [4, 4], [6], [6], [5, 5], [4, 4], [5, 5], [5]]
[[2, 6], [4, 5], [6], [4, 5], [4, 5], [6], [6], [6], [6], [5], [6], [4, 4], [6], [6], [4, 5], [4, 5], [6], [4, 5], [4, 5], [6], [6], [6], [5], [5], [5], [4, 5], [5], [4, 5], [4, 5], [6], [6], [6], [4, 5], [4, 5], [6]]
[[2, 5], [6], [5], [6], [4, 5], [6], [4, 5], [4, 5], [6], [4, 5], [6], [6], [6], [4, 5], [6], [6], [5], [5], [5], [5], [4, 4], [6], [6], [4, 4], [4, 5], [5], [6], [6], [6], [6], [6], [4, 5], [4, 5], [4, 5], [4, 5], [6]]
[[2, 6], [4, 5], [5], [6], [5], [6], [4, 5], [5], [6], [4, 5], [4, 5], [4, 5], [6], [6], [5], [6], [4, 4], [6], [6], [5], [4, 5], [5], [5], [6], [5], [6], [4, 5], [6], [6], [6], [5], [4, 5], [4, 4], [6], [4, 4], [6], [6]]
[[4, 4], [5], [5], [6], [4, 5], [6], [5], [4, 5], [6], [4, 4], [5], [6], [5], [4, 5], [2, 6], [6], [6], [6], [4, 4], [4, 5], [5], [5], [6], [5], [6], [5], [5], [4, 5], [5], [6], [6], [4, 5], [6], [6], [6], [4, 4], [6], [6]]
[[2, 6], [5], [6], [5], [5], [5], [4, 4], [5], [6], [4, 4], [6], [6], [5], [6], [4, 5], [6], [6], [4, 4], [6], [4, 5], [4, 4], [5], [6], [6], [6], [5], [4, 5], [6], [5], [6], [5], [4, 4], [6], [5], [5], [4, 5], [5], [6], [6]]
[[4, 5], [6], [6], [5], [6], [6], [6], [6], [6], [5], [4, 4], [4, 4], [5], [4, 4], [5], [6], [6], [6], [5], [6], [6], [], [6], [6], [5], [2, 6], [4, 4], [4, 5], [5], [6], [5], [4, 5], [5], [6], [4, 4], [5], [4, 5], [5], [5], [5]]
[[2, 6], [6], [6], [5], [6], [5], [6], [5], [5], [6], [5], [5], [6], [6], [6], [6], [4, 4], [5], [5], [5], [5], [6], [5], [6], [6], [4, 4], [5], [4, 4], [5], [6], [5], [4, 4], [6], [5], [4, 4], [6], [5], [5], [6], [4, 4], [4, 4]]
[[2, 5], [5], [6], [5], [6], [6], [5], [6], [4, 4], [5], [5], [5], [6], [6], [6], [6], [6], [5], [6], [6], [5], [], [5], [5], [6], [6], [6], [4, 4], [5], [5], [4, 4], [5], [6], [4, 4], [4, 4], [6], [4, 4], [5], [6], [4, 4], [5], [5]]
[[4, 4], [4, 4], [5], [5], [6], [6], [4, 4], [6], [4, 4], [6], [2, 6], [5], [5], [6], [5], [4, 4], [], [6], [6], [6], [], [6], [5], [5], [6], [5], [6], [4, 4], [5], [5], [5], [5], [5], [6], [5], [5], [4, 4], [6], [5], [6], [5], [6], [6]]
[[2, 5], [4, 4], [5], [5], [6], [6], [4, 4], [4, 4], [6], [], [], [5], [6], [4, 4], [6], [4, 4], [6], [6], [6], [6], [6], [6], [], [5], [5], [6], [6], [4, 4], [6], [5], [5], [5], [5], [6], [5], [4, 4], [5], [6], [5], [5], [5], [5], [6], [5]]
[[2, 6], [4, 4], [5], [6], [5], [6], [6], [6], [5], [6], [6], [6], [4, 4], [], [], [5], [5], [], [6], [6], [], [6], [5], [4, 4], [6], [4, 4], [5], [5], [6], [5], [5], [5], [4, 4], [5], [5], [6], [4, 4], [5], [4, 4], [5], [6], [5], [5], [6], [6]]
[[4, 4], [5], [6], [5], [6], [5], [5], [], [6], [], [6], [5], [], [6], [6], [6], [6], [4, 4], [6], [], [6], [4, 4], [6], [6], [4], [5], [5], [5], [5], [5], [6], [4, 4], [2, 4], [5], [4, 4], [4, 4], [6], [5], [5], [6], [5], [6], [5], [5], [5], [6]]
[[2, 6], [6], [4, 4], [6], [5], [6], [6], [4, 4], [6], [6], [4, 4], [5], [5], [5], [5], [5], [], [], [6], [6], [4, 4], [5], [], [6], [4, 4], [], [6], [6], [5], [], [6], [5], [5], [5], [6], [5], [5], [6], [4, 4], [5], [5], [5], [6], [5], [], [4, 4], [6]]
[[2, 6], [5], [5], [6], [4, 4], [6], [5], [6], [4, 4], [4, 4], [], [], [6], [], [], [5], [], [4, 4], [4, 4], [], [5], [6], [6], [6], [6], [5], [], [6], [5], [6], [6], [5], [6], [5], [5], [5], [5], [4, 4], [5], [5], [6], [4, 4], [5], [6], [5], [5], [6], [6]]
[[2, 4], [5], [6], [5], [5], [5], [4], [6], [5], [4], [6], [6], [4], [], [5], [6], [6], [6], [6], [6], [6], [6], [5], [4], [5], [5], [5], [4], [6], [6], [5], [6], [4], [4], [4], [6], [4], [5], [4], [5], [4], [6], [5], [5], [5], [4], [4], [5], [6]]
-EndAllocation

Instance: [[1], [244], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,49. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [], [3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[5, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 6], [], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 5, 5, 5, 5, 5], [], [4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[3, 3, 6, 6, 6, 6], [4, 4], [], [3, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6]]
[[5, 5, 5, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5], [3, 3, 3, 3, 4, 4, 4], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], []]
[[4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5], [], [6, 6, 6, 6], [], [3, 3, 3, 6, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 5, 5, 5, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4]]
[[3, 5, 5, 5, 6], [6, 6], [], [3, 3, 3, 4, 4, 4, 4], [6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 6], [5, 5, 5, 5, 5], [6, 6, 6], [5, 6, 6, 6]]
[[5, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [], [], [5, 5, 5, 6], [5, 5, 5, 5], [4, 4, 4, 4], [3, 3, 3, 3], [6, 6, 6, 6]]
[[3, 6], [6, 6, 6], [], [], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [4, 6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[5, 6], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [5, 5, 5, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3, 3, 3, 3], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5]]
[[6], [], [], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [3, 3, 3, 3], [4, 4, 4, 4, 4], [6, 6, 6]]
[[3, 6], [], [6, 6, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5], [6, 6, 6], [], [5, 5, 5], [3, 3, 3, 4, 4], [4, 4, 4, 4], [6, 6, 6], []]
[[3, 3, 3, 6], [], [5, 5, 5], [], [5, 5, 5], [4, 4, 6], [6, 6], [6, 6], [5, 5, 6], [5, 6, 6], [5, 5, 6], [4, 4, 4, 4], [3, 6, 6], [6, 6], [6, 6], [5, 6, 6], [6, 6], [4, 4, 4, 4], [6, 6]]
[[5, 5, 6], [4, 6], [], [6, 6], [], [3, 3, 3, 3], [5, 5, 5], [4, 6, 6], [4, 6, 6], [5, 5, 6], [4, 5, 6], [5, 5, 5], [5, 6, 6], [4, 6, 6], [4], [4, 6, 6], [4, 6, 6], [4], [4, 6, 6], [6, 6]]
[[6, 6], [6, 6], [6, 6], [5, 5, 5], [], [], [4, 6, 6], [], [6, 6], [3, 6, 6], [6, 6], [6, 6], [3, 3, 3], [4, 4, 4, 4], [6, 6], [4, 6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [4, 4, 4, 4], [5, 5, 5]]
[[5, 6], [4, 4, 4, 4], [6, 6], [6, 6], [3, 3, 3, 3, 4], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [], [5, 5, 5], [6, 6], [4, 4, 4, 4], [4, 6, 6], [], [6], [6, 6], [], [5, 5], [6, 6]]
[[5, 6], [6, 6], [6, 6], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [3, 6], [6, 6], [5, 6], [5, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 5], [4, 5, 5], [], [], [6, 6], [5, 5], [6, 6], [5, 5], [4, 4, 4]]
[[3, 5, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6], [6, 6], [6, 6], [6, 6], [5, 6], [5, 6], [5, 5], [5, 5], [5, 5], [6, 6], [5], [], [6, 6], [], [4, 4, 4], [4, 4, 4], [3, 3, 3, 4], [6, 6], [6, 6]]
[[4, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [5, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [4, 4, 4], [5], [6, 6], [6, 6], [], [], [4, 4, 4]]
[[5, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [6], [6, 6], [4, 4, 4], [6, 6], [5, 6], [6], [6, 6], [4], [], [5, 5], [4, 4, 4], [6, 6], [5, 5], [], [6, 6], [4, 4, 4], [5, 5], [], [6, 6], [6, 6], [5, 5]]
[[5, 6], [], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6], [6, 6], [4, 6], [5, 6], [6, 6], [3, 3, 3], [3], [], [], [6, 6], [6, 6], [6, 6], [5, 5], [], [4, 5], [5, 5], [4, 4, 5], [5, 5], [4, 4, 4], [4, 4, 4]]
[[5, 6], [5, 5], [4], [], [], [6], [6, 6], [4, 4, 4], [6, 6], [5, 6], [5, 6], [3, 3, 3, 3], [6, 6], [], [5], [4, 4, 4], [6, 6], [6, 6], [5, 5], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], []]
[[6, 6], [5, 5], [5, 5], [6], [], [], [6, 6], [5, 5], [6, 6], [5, 6], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [5], [4], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [5, 5], [], [], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4]]
[[6], [], [6, 6], [6, 6], [], [], [], [6, 6], [4, 6], [5, 6], [5, 6], [5, 5], [6, 6], [3, 3, 3, 3], [], [5, 5], [4, 4, 4], [], [6, 6], [], [5, 5], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6]]
[[6], [6], [5, 5], [6], [6], [6], [5, 5], [6], [5, 5], [3, 6], [4, 6], [4, 6], [4, 6], [6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [5, 5], [6], [5, 5], [4, 4], [4, 4], [4, 6], [4, 6], [6], [6], [4, 6], [6]]
[[4, 6], [5, 5], [6], [4, 5], [5, 5], [6], [4, 6], [4, 4], [3, 3, 3], [4, 6], [6], [6], [3, 6], [6], [5, 5], [4, 5], [6], [6], [], [6], [6], [6], [6], [4, 6], [4, 6], [5, 5], [6], [6], [5, 5], [4, 6], [6], [6]]
[[3, 6], [4, 4], [6], [4, 6], [6], [6], [5, 5], [5, 5], [5, 5], [6], [6], [4, 6], [4, 6], [4, 6], [6], [5, 5], [], [4, 4], [4, 6], [], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [5, 5], [4, 6], [6], [5, 5]]
[[3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [5, 5], [6], [6], [6], [6], [6], [6], [5, 5], [6], [], [6], [5, 5], [6], [5, 5], [6], [6], [4, 4], [4, 4], [6], [6], [4, 4], [5, 5], [4, 6], [6], [4, 4], [5, 5], [4, 6]]
[[3, 6], [6], [3, 6], [6], [4], [6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [6], [4, 5], [4, 5], [4, 5], [6], [4, 5], [3, 5], [4, 5], [6], [5], [6], [4, 5], [6], [6], [6], [3, 5]]
[[3, 6], [5], [4, 5], [6], [4, 5], [6], [4, 5], [], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [5], [4, 5], [4, 5], [4, 5], [6], [4, 5], [6], [], [4, 5], [6], [6], [6], [4, 5], [4, 5], [6], [6], [6], [6], [6]]
[[6], [4, 5], [6], [6], [5], [3, 6], [5], [6], [5], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [5], [4, 5], [4, 4], [3, 3, 3], [6], [4, 5], [4, 5], [6], [5], [6], [6], [6], [6], [4, 5], [4, 4], [6], [6], [6], [5]]
[[4, 4], [5], [4, 5], [5], [5], [6], [4, 5], [6], [3, 3, 3], [4, 4], [6], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [5], [5], [6], [6], [6], [5], [6], [6], [6], [4, 4], [6], [3, 5], [6], [6], [6], [6]]
[[3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [4, 5], [5], [5], [6], [6], [5], [5], [4, 4], [4, 4], [6], [6], [6], [4, 4], [6], [6], [5], [6], [4, 5], [6], [5], [5], [5], [5], [6], [6], [6], [5], [6], [4, 4], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [5], [6], [4, 4], [4, 4], [4, 5], [5], [6], [6], [6], [6], [6], [6], [], [5], [5], [6], [6], [], [6], [5], [6], [5], [6], [5], [4, 5], [6], [3, 6], [4, 4], [6], [4, 4], [3, 5], [5], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [5], [4, 4], [6], [5], [5], [5], [4, 4], [5], [5], [5], [6], [4, 4], [5], [5], [6], [6], [6], [5], [4, 4], [6], [5], [6], [5], [6], [4, 4], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [6], [5], [3, 3], [6], [4, 4], [5], [5], [4, 4], [5], [5], [4, 4], [5], [5], [5], [6], [5], [4, 4], [], [5]]
[[6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [4, 4], [], [6], [], [5], [6], [6], [], [5], [6], [5], [6], [5], [6], [3, 3], [5], [5], [6], [6], [4, 4], [5], [6], [5], [4, 4], [6], [6], [5], [6], [6], [3, 5], [6], [5], [6], [3, 5], [6]]
[[6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [4], [6], [5], [], [6], [5], [6], [4, 4], [6], [6], [6], [3, 3], [6], [5], [], [5], [3, 5], [6], [6], [5], [6], [], [5], [6], [5], [6], [5], [4, 4], [5], [5], [6], [6], [6], [5], [6], [3, 4]]
[[6], [6], [6], [6], [6], [6], [3], [6], [5], [6], [6], [6], [4, 4], [5], [3, 3], [5], [5], [], [6], [6], [], [6], [6], [6], [6], [4, 4], [6], [], [5], [3, 5], [5], [5], [6], [6], [6], [5], [4, 4], [4, 4], [4, 4], [6], [], [5], [5], [6], [5]]
[[6], [6], [6], [6], [6], [6], [3], [6], [6], [6], [6], [5], [], [6], [5], [6], [6], [4, 4], [6], [], [6], [4, 4], [6], [6], [5], [6], [6], [5], [5], [], [6], [5], [4, 4], [], [4, 4], [4, 4], [6], [6], [3, 3], [5], [5], [5], [], [5], [5], [3, 5]]
[[6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [5], [6], [5], [6], [6], [4, 4], [], [6], [5], [4, 4], [5], [], [6], [4, 4], [], [6], [6], [3, 3], [], [5], [5], [], [6], [5], [], [6], [5], [4, 4], [5], [3, 3], [6], [5], [5], [5], [6], [6]]
[[6], [6], [6], [6], [6], [6], [5], [5], [4, 4], [4, 4], [5], [3, 3], [6], [4, 4], [], [6], [], [4, 4], [], [], [5], [6], [6], [6], [6], [3, 3], [], [5], [6], [6], [6], [5], [6], [5], [], [], [6], [4, 4], [5], [6], [6], [6], [5], [5], [5], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [3, 3], [5], [5], [4], [], [], [4], [], [5], [6], [6], [6], [6], [6], [6], [6], [5], [4], [5], [5], [4], [6], [6], [4], [5], [6], [4], [4], [6], [6], [4], [5], [6], [5], [4], [6], [5], [3, 3], [5], [4], [6], [6], [5]]
-EndAllocation

Instance: [[1], [243], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,49. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,49:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [5, 5, 6, 6, 6, 6, 6], [3, 4, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [4, 4, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [4, 4, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6]]
[[], [6, 6, 6, 6, 6], [4, 4, 6, 6, 6], [3, 3, 6, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [], [3, 3, 3], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5, 6, 6, 6], [4, 4, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], []]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6], [4, 4, 6, 6], [6, 6, 6, 6], [6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6], [4, 4, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], []]
[[], [5, 5, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 4]]
[[], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6, 6], [6], [6, 6, 6], [3, 3, 3, 5, 5], [6, 6, 6]]
[[], [6, 6, 6], [], [6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [4, 4, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [3, 3, 5, 5], [6, 6, 6], [6, 6, 6], [3], []]
[[6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [3, 6, 6], [6, 6], [3, 3, 5, 5], [6, 6], [3, 6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [3, 3, 3, 3, 3], [6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [], [3, 3, 3], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [4, 4, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [], [6, 6], [4, 4, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [3, 5, 5]]
[[], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [5, 5], [4, 4]]
[[], [3, 3, 3, 3], [5, 5], [6], [], [6, 6], [], [6, 6], [3, 3, 3, 3], [3, 3, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [3, 4, 4], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [], [4, 4], [6, 6], [5, 5], [], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [4, 4], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [], [6], [5, 5], [6, 6], [3, 3, 3], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [], [6, 6], [], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [], [], [5, 5], [3, 3, 3, 3], [4, 4], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [4, 6], [3, 6], [4, 6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [3, 6]]
[[6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [5, 5], [6], [6], [6], [4, 4], [6], [3, 6], [3, 6]]
[[6], [3, 6], [6], [6], [6], [6], [6], [4, 4], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [5, 5], [6], [3, 6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [3, 6]]
[[6], [6], [3, 6], [6], [5, 5], [3, 6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [3, 6], [4, 4], [6], [6], [6]]
[[6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 3, 3], [4, 4], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [5], [3, 6], [6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [3, 6], [5], [6]]
[[6], [6], [6], [6], [6], [3, 6], [6], [5], [6], [6], [3, 3, 3], [6], [3, 6], [4, 4], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 3, 3], [3, 6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [4, 4]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [5], [4, 4], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6]]
[[6], [3, 3, 3], [6], [], [3, 3, 3], [6], [6], [5], [5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [3, 3, 3]]
[[6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [], [6], [5], [4, 4], [6], [6], [6], [6], [6], [5], [6], [], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [3, 3, 3]]
[[6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [5], [3, 3], [5], [6], [3], [6], [6], [3, 3], [6], [6], [6], [6], [4, 4], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [6], [5], [6], [6], [5], [6], [3, 3], [3, 3], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], []]
[[6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [], [6], [6], [3, 3], [6], [6], [], [3, 3], [3, 3], [3, 3], [6], [6], [6], [3, 3], [5], [6], [6], [6], [6], [6], [3], [3, 3], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [3, 3], [3, 3], [6], [6], [5], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [4, 4], [6], [6], [3], [3, 3], [6], [6], [6], [6], [3, 3], [], [], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [], [6], [6], [6]]
[[5], [6], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [], [4, 4], [6], [6], [3, 3], [], [3, 3], [6], [6], [3, 3], [], [6], [6], [], [], [3, 3], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6]]
[[6], [], [6], [5], [3, 3], [4, 4], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 5], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 3], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [6], [6], [6], [6], [6], []]
[[], [3], [6], [6], [6], [5], [3, 3], [6], [], [], [], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [], [6]]
[[], [4, 4], [6], [6], [], [6], [6], [6], [6], [3, 5], [6], [6], [6], [5], [6], [6], [6], [6], [3, 3], [], [6], [], [6], [3, 3], [], [6], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [3, 3], [6], [], [6], [6], [6], [3, 3], [6], [6], [], [], [6], [6], [3, 3]]
[[6], [5], [6], [], [4], [3, 3], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [], [3, 3], [6], [6], [6], [5], [6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [4], [3, 3], [], [], [6]]
-EndAllocation

Instance: [[1], [242], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,49. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,49:
-StartAllocation
[[3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 4, 6, 6, 6, 6]]
[[6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6, 6, 6, 6], [3, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 6, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6, 6]]
[[], [4, 6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6, 6], [6, 6], [3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 6], [3, 3, 3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6], [4, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5], [4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [6, 6], [6, 6, 6], [4, 6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6], [6, 6, 6], [4, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [4, 6, 6], [], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 4]]
[[6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [4, 6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [4, 6, 6], [6, 6], [6, 6], [6, 6], [6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 6, 6], [6, 6], [], [6, 6], [4, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 4], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [4, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [4, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [4, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [], [5, 5], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [4, 6], [], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [5, 5], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [4, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [5, 5], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [4], [6, 6], [3, 3, 3, 3], [], [6, 6], [5, 5], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [3, 3, 3, 3], [], [6, 6], [], [4], [], [6, 6], [6, 6], [6, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [4, 6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [4, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [3, 3, 4], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [5, 5], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [5, 5], [6], [3, 6], [4, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [4], [3, 5], [6], [5], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [4, 5], [6], [6]]
[[6], [6], [4], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [5], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [5], [6], [6], [6], [3, 3, 3], [3, 3, 3]]
[[6], [6], [6], [6], [], [6], [6], [6], [6], [6], [3, 6], [4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [3, 5], [6], [3, 6]]
[[6], [6], [5], [6], [6], [6], [], [3, 3], [3, 6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 4], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6]]
[[6], [], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3, 3], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [], [3, 6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [], [6]]
[[6], [3, 3], [6], [6], [5], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [5], [6]]
[[6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [6], [4], [3, 3], [6], [3, 3], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [5], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3], [6], [6], [6]]
[[6], [5], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6], [3, 4], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [5], [3, 3], [6], [6], [6], [6], [], [6], [5], [3, 3], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [4], [3, 3], [6], [6], [6]]
[[6], [6], [5], [6], [3, 3], [], [], [6], [3, 3], [6], [4], [3, 3], [3, 3], [6], [6], [6], [3, 3], [], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], []]
[[6], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [3, 3], [3, 3], [6], [6], [3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [3, 5], [], [3, 3], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [5], [], [3, 3], [6]]
[[6], [3, 3], [4], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [5], [], [3, 3], [6], [6], [6], [6], [], [6], [6], [5], [], [], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [], [3, 5], [], [], [6], [6], [4], [], [], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3, 3], [4], [5], [6], [3, 3], [6], [6], [], [6], [3, 3], [6], [], [6], [6], [6], [], [6], [6], [6], [], [6], [], [6], [], [5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [], [6], [6]]
-EndAllocation

Instance: [[1], [241], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,49. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,49:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 6, 6], [5, 5, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6, 6]]
[[], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [6, 6, 6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [3, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [5, 5], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6, 6], [], [6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [5, 5], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6], [6, 6, 6], [5, 5, 6], [3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6]]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3]]
[[6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 6, 6], [6, 6], [5, 5, 6], [6, 6], [3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 6, 6], [6, 6], [6, 6], [6, 6], [6]]
[[], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 6, 6], [6, 6], [], [6, 6], [3, 6, 6], [3, 3, 3, 3, 3], [6, 6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [3, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [3, 6], [5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [3, 3, 3, 3]]
[[], [3, 3, 3, 3], [], [3, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [3], [5, 5], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [5, 5], [], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3]]
[[], [3, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [3, 3, 3, 3], [5, 5], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [3, 6], [5, 5], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [], [6, 6], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [], [3, 3, 3, 3], [3], [6, 6], [], [], [], [6, 6], [6, 6], [6, 6]]
[[6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [3, 6], [6], [3, 6], [3, 6], [5, 5], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [3, 6]]
[[6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [5, 5], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [3, 6]]
[[6], [3, 3, 3], [6], [3, 6], [6], [5, 5], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 3, 3], [3, 6]]
[[6], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [6], [5], [6], [3, 6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [3, 6], [3, 3, 3]]
[[6], [3, 3, 3], [3, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [3, 6], [6], [3, 5], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [5], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [5], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [3, 3, 3]]
[[6], [6], [6], [6], [3], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 3, 3], [], [6], [6], [6], [5], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [3, 5], [6], [3, 6]]
[[6], [6], [5], [6], [6], [6], [], [3, 6], [3, 6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [], [6], [6], [5], [6], [6], [6], [6]]
[[6], [], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [6], [3, 3, 3], [3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [], [3, 6], [6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [], [6]]
[[6], [3, 3], [6], [6], [5], [3, 3], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [3, 3], [6], [5], [3]]
[[6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 5], [6], [3, 3], [6], [6], [5], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [3, 3], [], [6], [6]]
[[6], [5], [6], [3, 3], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [], [3, 3], [6], [6], [6], [6], [6], [6], [5], [6], [6], [3, 3], [6], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3]]
[[6], [6], [6], [6], [6], [3], [6], [6], [], [6], [3, 3], [5], [3, 3], [6], [6], [6], [6], [], [6], [5], [3, 3], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[6], [6], [5], [6], [3, 3], [], [], [6], [3, 3], [6], [6], [3, 3], [3, 3], [6], [6], [6], [3, 3], [], [6], [5], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3], [6], [3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], []]
[[6], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 5], [], [3, 3], [3, 3], [6], [], [6], [6], [], [6], [6], [6], [6], [5], [], [3, 3], [6]]
[[6], [3, 3], [6], [6], [3], [6], [3, 3], [3, 3], [6], [6], [6], [5], [], [3, 3], [6], [6], [6], [6], [], [6], [6], [5], [], [], [6], [6], [6], [6], [], [6], [], [6], [6], [6], [3, 3], [3, 3], [6], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [3, 5], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [], [3, 3], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [], [3, 5], [], [3], [6], [6], [6], [], [], [6], [6], [6], [6], [3, 3]]
[[6], [6], [3, 3], [6], [3, 3], [], [5], [6], [3, 3], [6], [6], [], [3], [3, 3], [6], [], [6], [6], [6], [], [6], [6], [6], [], [6], [], [6], [], [5], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [3, 3], [], [6], [6], [6], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [250], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,50. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,50:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6], [4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 6, 6], [6, 6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 4, 4, 4, 4], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6], []]
[[], [4, 4, 4, 4, 6, 6], [3, 3, 3, 3, 6, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [4, 4, 4, 4]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3], [3, 3, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [4, 4, 4, 6], [6, 6, 6], [6, 6, 6], [6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6], [3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4], [6, 6, 6], []]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [], []]
[[6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [4, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [3, 4, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [4, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [6, 6], [], [3, 3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [4, 6], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [4, 6], [6, 6], [], [4, 4, 4], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [4], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [6], [], [6, 6], [4, 4, 4], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 6], [], [6, 6], [6, 6], [4, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [], [4, 4, 4], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [3, 3, 3, 3], [], [4, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [3, 3, 3, 3], [4, 4, 4], [], [6, 6], [6, 6], [], [6, 6], [], [], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [3, 3], [6, 6], [4, 6], [], [], [6, 6], [6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [4, 6], [4, 6], [3, 6], [4, 6], [3, 6], [6], [6], [6], [6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [3, 6], [6], [3, 6]]
[[6], [3, 6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [4, 6], [3, 6], [6], [4, 4], [6], [6], [6], [3, 6]]
[[6], [6], [3, 6], [4, 6], [6], [3, 6], [6], [3, 6], [4, 4], [4, 6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [4, 4], [6], [6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [4, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [4], [3, 6], [6], [3, 6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [4, 4], [3, 6], [4]]
[[6], [6], [3, 6], [6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [4, 4], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [6]]
[[6], [4, 4], [6], [3, 3, 3], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [6]]
[[6], [], [6], [6], [6], [6], [3, 3, 3], [], [6], [3, 6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [6]]
[[6], [], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [6]]
[[6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [6], [4, 4], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6]]
[[6], [], [3, 3], [6], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [4, 4], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [4, 4]]
[[], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [4, 4], [6], [], [6], [6], [4, 4], [], [3, 3], [], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [3, 3], [6], [4, 4], [3, 3], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [], [], [3, 3], [6], [6], [6], [], [6], [6], [], [6], [6], [3, 3], [6], [], [3, 3], [3, 3]]
[[], [6], [4, 4], [6], [6], [6], [], [3, 3], [6], [6], [], [6], [4, 4], [6], [6], [6], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6]]
[[6], [6], [6], [3, 3], [], [3, 3], [6], [6], [3, 3], [6], [], [], [6], [3, 3], [], [], [6], [6], [6], [6], [6], [], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3]]
[[6], [4], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [6], [4], [], [6], [6], [], [3, 3], [3, 3], [4], [6], [6], [4], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [6]]
-EndAllocation

Instance: [[1], [249], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,50. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,50:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [4, 4, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 4, 5, 5], [6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [4, 4, 6, 6, 6, 6], [5, 5, 6, 6, 6, 6], [3, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3]]
[[], [6, 6, 6, 6, 6], [3, 3, 3, 3, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 5, 5, 6, 6], [6, 6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 4, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6], []]
[[], [4, 4, 6, 6, 6], [3, 3, 3, 3, 3, 6], [6, 6, 6, 6], [], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 6, 6, 6], [6, 6, 6, 6], [3, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [4, 4]]
[[], [], [6, 6, 6, 6], [6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 6], [6, 6, 6, 6], [], [3, 3, 3, 3, 3], [3, 3, 4, 4, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [4, 6, 6, 6], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [3, 5, 5, 6], [3, 3, 3, 3, 3, 3, 3], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6]]
[[], [6], [3, 6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [4, 4, 6, 6], [3, 3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [], [6, 6, 6], [5, 5, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 6], [4, 4, 6, 6], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6]]
[[], [6, 6, 6], [6, 6, 6], [5, 5, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [3, 3, 3, 4, 4], [6, 6, 6], []]
[[], [3, 3, 3, 3, 3, 3], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 3, 3], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [5, 5, 6], [6, 6, 6], [3, 3, 3, 4, 4], [6, 6, 6], [6, 6, 6], [], []]
[[6], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6], [3, 3, 3, 3, 3], [6, 6]]
[[], [5, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6], [6, 6], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3, 3], [6, 6]]
[[], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [3, 5, 5], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [6, 6], [], [4, 4, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [4, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [5, 5], [3, 3, 3, 3], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4], [6, 6], [6, 6], [6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [5, 5], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4], [3, 3, 3, 3], [6], [6, 6], [], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6], [3, 3, 3, 3], [6, 6], [6, 6]]
[[], [6, 6], [6, 6], [], [3, 3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6], [], [4, 4], [], [], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3], [6, 6], [6, 6], [6, 6], [5, 5], [6, 6], [6], [6, 6], [3, 3, 3, 3], [6, 6]]
[[], [6, 6], [3, 3, 3, 3], [6, 6], [], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 6], [5, 5], [6, 6], [], [6, 6], [3, 4, 4], [], [], [3, 3, 3, 3], [6, 6], [6, 6], [], [6, 6], [6, 6]]
[[], [6, 6], [5, 5], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [3, 3, 6], [3, 3, 3, 3], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [], [6, 6], [6, 6], [], [], [], [3, 4, 4], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [], [3, 3, 3], [6, 6], [3, 3, 3, 3], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [3, 3, 3, 3], [6], [5, 5], [4, 4], [], [6, 6], [6, 6], [], [6, 6], [], [], [3, 3, 3, 3]]
[[], [], [6, 6], [6, 6], [], [6, 6], [4, 4], [6, 6], [], [6], [3, 3, 3, 3], [6, 6], [6, 6], [], [], [6, 6], [], [6, 6], [6, 6], [3, 3, 3, 3], [3, 3, 3, 3], [], [6, 6], [], [5, 5], [6, 6], [3, 3, 3], [6, 6], [6, 6], [6, 6], [6, 6]]
[[6], [6], [4, 6], [3, 6], [3, 6], [3, 6], [6], [6], [6], [6], [4, 6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [5, 5], [3, 6], [6], [3, 6]]
[[6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6], [4, 4], [5, 5], [6], [6], [6]]
[[6], [6], [3, 6], [6], [6], [3, 6], [6], [3, 6], [4, 4], [5, 5], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [6], [3, 6], [6], [6], [3, 6], [3, 6], [3, 6], [3, 6], [6]]
[[6], [3, 3, 3], [3, 6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [5, 5], [6], [6], [3, 6], [6], [6], [4, 6], [6], [3, 6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [4, 6], [6], [6], [3, 6], [3, 6]]
[[6], [6], [4, 5], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [4, 5], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 6], [6]]
[[6], [6], [3, 6], [6], [3, 3, 3], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 5], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [3, 5]]
[[6], [6], [6], [3, 3, 3], [3, 3, 3], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 6], [3, 6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [3, 6], [3, 3, 3], [6], [6], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [4, 4], [6], [6]]
[[6], [], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [4, 4], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [3, 3, 3], [6], [6], [6], [6], [5], [5]]
[[6], [], [6], [6], [6], [4, 4], [6], [6], [6], [3, 3, 3], [6], [6], [6], [3, 3, 3], [6], [6], [6], [5], [6], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [3, 3, 3], [6], [3, 3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [], [5], [6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [3], [6], [6], [6], [6], [6], [6], [3, 3], [6], [3, 3], [6], [6], [6], [3, 3], [6], [3, 3], [6], [5], [3, 3], [6], [3, 3], [6], [6], [6], [6], [6], [4, 4], [6]]
[[6], [6], [3, 3], [6], [6], [6], [3, 3], [3, 3], [3], [4, 4], [3, 3], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [6], [3, 3], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [3, 3], [5], [3, 3], [6], [6], [3, 3], [6], [6], [6], [6], [], [6], [6], [], [6], [5], [3, 3], [3, 3], [3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6]]
[[], [6], [6], [6], [3, 3], [6], [6], [6], [5], [6], [], [6], [3, 3], [6], [6], [3, 3], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [6], [6], [3], [6], [6], [6], [6], [5], [6], [6], [6], [6], [6], [3, 3], [3, 3], [4, 4]]
[[], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5], [6], [6], [6], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [3, 3], [4, 4], [3], [6], [6], [6], [], [], [3, 3], [5], [6], [3, 3], [6], [], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6]]
[[6], [6], [3, 3], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [4, 4], [3, 3], [6], [6], [6], [6], [], [3], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [], [6], [3, 3], [5], [6], [6], [], [6], [6], [], [6], [6], [3, 3], [6], [], [3, 3], [3, 3]]
[[], [6], [4, 4], [6], [6], [6], [], [3, 3], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 5], [], [6], [3, 3], [6], [3, 3], [6], [6], [], [], [6], [3, 3], [6], [6], [3, 3], [6], [6], [], [3, 3], [6], [6], [6], [6], [6], [6], [6], [6], [6], [3, 3], [6], [5]]
[[6], [6], [6], [3, 3], [], [3, 3], [6], [6], [3, 3], [6], [], [], [6], [3, 3], [], [], [6], [6], [5], [3], [6], [], [6], [6], [6], [5], [6], [6], [3, 3], [3, 3], [6], [6], [6], [4, 4], [6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [3, 3]]
[[5], [6], [6], [], [6], [3, 3], [6], [3, 3], [6], [6], [6], [], [3, 3], [6], [6], [6], [5], [4], [3], [], [6], [], [3, 3], [3, 3], [6], [6], [6], [4], [6], [6], [6], [6], [6], [], [6], [6], [3, 3], [3, 3], [6], [6], [6], [6], [6], [], [6], [6], [], [6], [6], [6]]
-EndAllocation

Instance: [[1], [248], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,50. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,50:
-StartAllocation
[[1, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6]]
[[1, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 1, 2, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6]]
[[1, 1, 2], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6], [5, 6, 6, 6, 6, 6], [], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 1, 2, 4, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], []]
[[1, 1, 2, 5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4]]
[[1, 1, 2, 4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], []]
[[1, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 6, 6], [5, 5, 5, 5, 5, 5], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [2, 6], [4, 4, 4, 4, 4, 4, 4, 4]]
[[1, 1, 2, 6, 6, 6, 6], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5], [], [6, 6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4]]
[[1, 2, 5, 5, 5, 5, 5], [], [1, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 5, 6], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [6, 6, 6, 6], [4, 4, 4], [4, 4, 4, 4, 4, 6], [4, 6, 6, 6], [1, 1, 2, 4, 4, 4, 4, 6], [5, 5, 6], [6, 6, 6, 6], [6, 6, 6, 6]]
[[1, 1, 2, 4, 6, 6], [6, 6], [], [4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5]]
[[1, 1, 2, 6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [5], [4, 4, 4, 4, 4], [], [6, 6, 6], [6, 6, 6], [4, 4, 4, 6], [5, 5, 5, 6], [4, 4, 4, 4, 4], [6, 6], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6]]
[[2, 6, 6, 6], [6, 6, 6], [6, 6, 6], [], [1, 1], [6, 6, 6], [6, 6, 6], [], [5, 5, 5, 5], [4, 6, 6], [4, 4, 4, 4, 4], [6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [4, 4, 6, 6], [4, 4, 4, 4, 4]]
[[1, 1, 2, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [], [4, 4, 4], [5, 5, 5, 5], [6, 6], [6, 6], [6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [6, 6, 6], [4, 4, 4, 4, 4]]
[[1, 1, 2, 6, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [5, 5, 6], [6, 6, 6], [4, 5, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[1, 1, 2, 4, 6], [4, 4, 4, 4], [6, 6, 6], [5, 5, 5], [6, 6, 6], [], [5, 5, 5], [4, 4, 4, 6], [6, 6, 6], [6], [4, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4], [], [5, 5, 5], [5, 5, 5]]
[[1, 1, 2, 5, 6], [4, 6, 6], [], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 6], [5, 6, 6], [6, 6], [5, 6, 6], [], [5, 5, 5], [4, 6, 6], [4, 4, 4, 4], [4, 6, 6], [6, 6], [], [4, 4, 4, 4]]
[[5, 5, 6], [6, 6], [5], [], [6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6], [5, 5, 5], [1, 1, 2, 4, 6], [6], [6, 6], [6, 6], [5, 5, 5], [4, 4, 4, 4], [6, 6], [6], [6, 6], [6, 6], [6, 6], [4, 4, 4, 4]]
[[1, 1, 2, 6, 6], [], [], [6, 6], [], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[1, 1, 2, 4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [4, 4, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [], [], [6, 6], [6, 6], [5, 5], [4, 4, 4], [6, 6], [5, 5], [4, 5, 5], [5, 5]]
[[1, 1, 2, 4, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [6], [6, 6], [5, 5], [], [6, 6], [6, 6], [], [6, 6], [6, 6], [5, 5], [5, 5], [5, 5], [6, 6], [6, 6]]
[[1, 1, 2, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [5, 5], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [4, 6], [6], [6, 6], [5, 5], [6, 6], [5, 5], [5, 5], [], []]
[[1, 1, 2, 6], [], [5, 5], [4, 4, 4], [4, 4, 4], [], [6, 6], [4, 4, 4], [6, 6], [5, 5], [5, 5], [6], [6], [4, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [5, 5], [6, 6], [5, 5], [6, 6], [6, 6], [5, 5]]
[[1, 1, 2, 5], [], [5, 5], [5, 5], [5, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [4], [4, 6], [4, 6], [6, 6], [6, 6], [4, 6], [6], [], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [5, 5], [], [6], [6, 6]]
[[1, 1, 2, 5], [4, 4, 4], [4, 4, 4], [], [5], [6, 6], [6, 6], [5], [6], [5, 6], [5], [5], [5, 6], [5, 6], [5, 6], [5, 6], [4, 6], [6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [5], [4, 4, 4], [], [5], [6, 6]]
[[1, 1, 2, 6], [4, 4, 4], [], [], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6], [4, 6], [6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [5, 5], [], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [], [], [5, 5], []]
[[1, 1, 2, 6], [5, 5], [], [6, 6], [4, 4, 4], [6, 6], [5], [6, 6], [4, 6], [4, 6], [4, 6], [], [], [4, 4, 4], [], [5, 5], [6, 6], [4, 5], [6, 6], [4, 4, 4], [], [6, 6], [6, 6], [], [], [5, 5], [5, 5], [6, 6], [6, 6], [5, 5]]
[[1, 1, 2, 6], [4, 6], [6], [6], [6], [4, 6], [6], [4, 4], [4, 6], [5, 5], [5, 5], [4, 6], [4, 6], [4, 6], [5, 5], [6], [5, 5], [4, 6], [4, 6], [6], [6], [5, 5], [6], [4, 5], [6], [6], [6], [4, 4], [6], [5], [6]]
[[1, 1, 2, 6], [6], [4, 6], [6], [6], [4, 4], [4, 5], [4, 6], [4, 6], [4, 4], [4, 5], [4, 6], [5, 5], [4, 6], [4, 6], [5, 5], [6], [6], [5, 5], [6], [5, 5], [6], [6], [6], [4, 6], [6], [5], [6], [6], [5], [6], [6]]
[[1, 1, 2, 6], [5, 5], [6], [6], [4, 4], [6], [6], [6], [5, 5], [4, 6], [6], [4, 4], [6], [6], [6], [4, 4], [4, 4], [6], [6], [5, 5], [4, 6], [5, 5], [6], [6], [4, 6], [5, 5], [6], [6], [5, 5], [6], [4, 4], [6], [6]]
[[1, 1, 2, 6], [4, 4], [6], [6], [6], [6], [6], [4, 4], [6], [4, 6], [4, 4], [5, 5], [6], [6], [6], [5, 5], [6], [6], [5, 5], [5, 5], [5, 5], [], [6], [6], [6], [6], [4, 6], [6], [5, 5], [4, 4], [4, 6], [4, 4], [6], [6]]
[[1, 1, 2, 5], [6], [5, 5], [4, 4], [4, 4], [4, 4], [4, 6], [5, 5], [4, 4], [5, 5], [6], [6], [6], [5], [6], [5, 5], [4, 6], [6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [6], [6], [4, 4], [5, 5], [4, 6], [6], [6]]
[[2, 6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [6], [4, 5], [6], [6], [6], [4, 5], [4, 5], [6], [6], [5], [6], [4, 5], [4, 5], [6], [6], [6], [6], [6], [4, 5], [4, 4], [5], [6], [1, 1, 5], [4, 5], [4, 5], [4, 4]]
[[1, 1, 6], [4, 5], [4, 5], [4, 5], [6], [6], [6], [4, 4], [4, 5], [6], [5], [4, 5], [6], [6], [6], [6], [4, 5], [4, 4], [6], [6], [6], [6], [5], [5], [6], [6], [6], [6], [6], [6], [6], [6], [5], [5], [4, 4], [2, 6], [4, 5]]
[[1, 1, 6], [6], [6], [6], [6], [4, 5], [5], [6], [6], [4, 5], [2, 5], [6], [6], [5], [5], [5], [6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [4, 4], [4, 4], [6], [6], [5], [5], [4, 5], [4, 4], [4, 5], [4, 4], [6], [6], [6]]
[[1, 1, 6], [4, 5], [6], [6], [6], [4, 5], [4, 4], [6], [4, 5], [4, 5], [2, 6], [5], [6], [6], [6], [4, 5], [6], [6], [4, 4], [6], [6], [6], [6], [], [6], [6], [6], [6], [5], [6], [6], [4, 4], [5], [5], [4, 4], [5], [5], [6], [5]]
[[1, 1, 5], [2, 5], [4, 5], [6], [5], [4, 4], [6], [4, 5], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [6], [6], [6], [6], [6], [6], [4, 4], [6], [5], [5], [6], [5], [6], [5], [4], [4, 5], [5], [4, 4], [], [6], [4, 4]]
[[2, 6], [4, 5], [6], [6], [6], [4, 4], [6], [6], [], [6], [5], [5], [], [6], [6], [4, 5], [], [6], [6], [4, 5], [], [4, 5], [6], [6], [4, 5], [4, 5], [6], [4, 4], [6], [6], [6], [4, 5], [6], [6], [6], [6], [4, 4], [5], [6], [5], [1, 1, 5]]
[[1, 1, 6], [2, 5], [5], [6], [5], [5], [6], [6], [6], [5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [5], [6], [4, 4], [4, 4], [6], [], [4, 4], [5], [6], [5], [6], [5], [6], [6], [5], [5], [4, 4], [6], [6], [6], [5], [4], [6]]
[[1, 1, 6], [2, 5], [5], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [6], [6], [6], [], [4, 4], [6], [6], [4, 4], [6], [], [4, 4], [6], [6], [5], [5], [6], [6], [5], [6], [6], [5], [5], [4], [5], [5], [4, 4], [6], [5], [5], [5]]
[[1, 1, 6], [5], [6], [6], [6], [6], [6], [4], [6], [6], [6], [6], [6], [], [], [4, 4], [6], [6], [6], [4, 4], [6], [], [5], [4, 4], [5], [6], [5], [5], [5], [6], [5], [5], [6], [5], [5], [4, 4], [4, 4], [4, 4], [6], [6], [5], [6], [5], [2, 6]]
[[1, 1, 6], [5], [6], [5], [5], [6], [5], [6], [5], [6], [4], [6], [6], [6], [4, 4], [6], [6], [6], [4, 4], [6], [6], [], [6], [6], [4, 4], [], [6], [4, 4], [4, 4], [4, 4], [6], [6], [], [5], [5], [5], [6], [6], [5], [5], [6], [5], [5], [], [2, 6]]
[[1, 1, 6], [2, 5], [5], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [], [6], [4, 4], [5], [5], [4, 4], [6], [4, 4], [], [6], [5], [], [5], [], [], [6], [6], [6], [6], [6], [5], [6], [5], [6], [5], [4, 4], [6], [5], [6], [5], [4], [4, 4], [6], [5]]
[[1, 1, 6], [5], [5], [6], [6], [6], [6], [6], [5], [6], [6], [6], [6], [5], [6], [5], [5], [6], [], [4, 4], [6], [4, 4], [], [6], [], [5], [5], [4, 4], [], [4, 4], [6], [4, 4], [5], [4, 4], [6], [6], [5], [5], [6], [5], [6], [6], [], [], [6], [6], [2, 4]]
[[1, 1, 5], [5], [6], [5], [6], [6], [6], [6], [5], [6], [6], [4], [6], [6], [6], [], [6], [5], [6], [], [], [], [6], [], [6], [5], [4, 4], [5], [6], [4, 4], [6], [], [], [5], [5], [6], [5], [5], [6], [4, 4], [4, 4], [5], [6], [4, 4], [4, 4], [6], [6], [2, 6]]
[[1, 1, 6], [2, 5], [5], [5], [6], [4, 4], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [4], [6], [4, 4], [6], [6], [], [], [], [6], [], [], [], [], [6], [5], [6], [5], [5], [], [6], [6], [6], [6], [5], [6], [5], [6], [5], [5], [4, 4], [5], [5], [6], [6], [6], [6]]
[[5], [5], [4], [5], [6], [5], [6], [6], [6], [5], [4], [5], [6], [4], [6], [5], [5], [6], [6], [6], [6], [4], [6], [4], [6], [4], [4], [6], [4], [5], [6], [4], [], [6], [6], [5], [6], [6], [6], [6], [4], [5], [6], [4], [5], [4], [4], [], [6], [1, 1, 2]]
-EndAllocation

Instance: [[1], [247], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,50. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,50:
-StartAllocation
[[1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [1, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 6, 6, 6, 6]]
[[1, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [6, 6], [3, 3, 3, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 3], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[1, 5, 5, 5, 5, 6, 6, 6], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 3, 3, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[1, 4, 4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6], [5, 5], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [3, 3, 3], [4, 4, 4, 4, 4, 4, 4, 6]]
[[1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [3, 3, 3, 6, 6, 6], [4, 4, 4, 4, 4, 4, 6], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5], [4, 4, 4], [5, 5, 5, 5, 6, 6]]
[[1, 4, 6, 6, 6, 6], [3, 3, 3], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [4, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [6], [6, 6, 6, 6, 6], [], [5, 5, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4]]
[[1, 6, 6, 6], [6, 6], [4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [3, 3, 3, 4, 4], [6, 6, 6, 6], [5, 5, 5, 5, 5], [], [5, 6, 6, 6], [5, 5, 5, 5, 6], [6, 6, 6, 6]]
[[1, 5, 5, 5, 6], [3, 3, 3], [5, 5, 5, 5, 5], [6, 6, 6, 6], [], [6, 6, 6, 6], [5, 5], [6, 6, 6], [6, 6, 6, 6], [4, 4, 4, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6]]
[[1, 6, 6], [5, 5, 5, 6], [], [4, 4, 4, 4, 4, 4], [], [5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [4, 4, 4], [3, 3, 3, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [6, 6, 6, 6], [5, 5, 5, 5]]
[[1, 5, 6], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [5, 5, 5, 5], [], [6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 6], [5, 5, 5, 6], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [3, 3, 3]]
[[1, 5, 6, 6], [3, 6, 6, 6], [3, 6, 6, 6], [], [6, 6, 6], [6, 6, 6], [3, 6, 6, 6], [], [5, 5, 5, 5], [5, 5, 5, 6], [4, 4, 4, 4], [6, 6, 6], [5, 5, 5], [5, 5, 5, 5], [], [4, 4, 4, 4, 4]]
[[1, 6, 6, 6], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [5, 5], [], [5, 5, 5, 5], [5, 6, 6], [3, 3, 3, 6], [], [4, 4, 4, 4], [5, 5, 5, 5], [], [6, 6, 6], [4, 4, 4, 4, 4]]
[[1, 5, 6], [6, 6, 6], [5, 5, 5], [5, 5, 5], [6, 6, 6], [], [6, 6, 6], [3, 3, 3], [5, 5, 5], [5, 6], [6, 6, 6], [4, 5, 6], [5, 5, 5], [6, 6, 6], [4, 4, 4, 4], [], [6, 6, 6], [4, 4, 4, 4]]
[[1, 5, 5, 6], [4, 4, 4, 4], [6, 6], [5, 6, 6], [6, 6], [5, 5, 5], [6, 6], [5, 5, 5], [5, 6, 6], [6], [4, 4, 6], [5, 5, 6], [6, 6], [6, 6], [6], [4, 4, 4], [6, 6], [3, 3, 3], [5, 5, 5]]
[[1, 6, 6], [6, 6], [], [5, 5, 5], [5, 5, 5], [6, 6], [6, 6], [6, 6], [4, 6, 6], [6, 6], [3, 3, 3, 6], [5, 5, 5], [5, 5, 5], [5, 5], [6, 6], [4, 4, 4, 4], [5, 6, 6], [6, 6], [], [4, 4, 4, 4]]
[[1, 5, 6], [6, 6], [5, 5, 5], [], [6, 6], [5, 5, 5], [5, 5, 5], [6, 6], [5, 5, 6], [6], [4, 6], [6, 6], [6, 6], [3, 3, 3, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [], [6, 6], [6, 6], [4, 4, 4, 4]]
[[1, 6, 6], [], [5], [3, 3, 3], [], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5, 6], [6, 6], [4, 4, 4, 4], [4, 6, 6], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5]]
[[1, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [5, 6], [5, 6], [], [4, 4, 4], [5, 5], [6, 6], [6, 6], [6, 6], [5, 5], [5, 5], [6, 6], [5, 5], [5, 5], [3, 3, 3]]
[[1, 3, 4, 6], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], [5, 5], [5, 6], [5, 6], [3, 3, 6], [4, 5, 5], [5, 6], [6, 6], [6, 6], [], [6, 6], [], [5, 5], [4, 5, 5], [5, 5], [], [6, 6]]
[[1, 5, 6], [6, 6], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [6, 6], [5, 6], [5, 6], [5, 5], [4, 4, 5], [6, 6], [3, 3, 3], [6, 6], [4], [5, 5], [], [5, 5], [6, 6], [5, 5], [5, 5], [5], []]
[[1, 5, 6], [], [5, 5], [4, 4, 4], [4, 4, 4], [], [6, 6], [6, 6], [6, 6], [5, 6], [5, 6], [6, 6], [5, 5], [], [6, 6], [5, 5], [4, 4, 4], [6, 6], [], [6, 6], [5, 5], [6, 6], [5, 5], [3, 3, 3], [6, 6], [5, 5]]
[[1, 5, 6], [5, 5], [5, 5], [5, 5], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [5, 6], [5, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 4, 4], [], [], [6, 6], [], [5, 5], [5, 5], [6, 6], [5, 5], [3, 3, 3], [], [6, 6]]
[[1, 5, 6], [4, 4, 4], [4, 4, 4], [], [5, 5], [], [6, 6], [5, 5], [6, 6], [5, 6], [5, 6], [], [], [6, 6], [6, 6], [], [6, 6], [], [6, 6], [6, 6], [6, 6], [3, 3, 3], [4, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [6, 6]]
[[1, 5, 6], [4, 4, 4], [], [3, 3, 3], [6, 6], [6, 6], [], [], [5, 5], [6, 6], [5, 6], [6, 6], [5, 5], [6, 6], [5, 5], [4, 4, 4], [5, 6], [], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [5, 5], [], [], [6, 6], []]
[[1, 5, 6], [5, 5], [], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [3, 3, 6], [5, 6], [5, 6], [3], [5, 5], [4, 4, 4], [], [], [6, 6], [5, 5], [6, 6], [4, 4, 4], [], [6, 6], [6], [], [], [5, 5], [5, 5], [6, 6], [6, 6], [5, 5]]
[[4, 6], [5], [6], [6], [6], [4, 6], [4, 6], [4, 6], [6], [4, 6], [1, 6], [4, 6], [6], [6], [5, 5], [5], [5], [6], [3, 3, 3], [6], [5, 5], [4, 6], [5, 5], [4, 6], [6], [5, 5], [5, 5], [4, 6], [6], [6], [5, 5]]
[[1, 6], [4, 6], [6], [6], [6], [4, 4], [6], [6], [6], [4, 6], [4, 6], [6], [4, 6], [6], [5], [5, 5], [6], [6], [5, 5], [4, 4], [5, 5], [3, 3, 3], [5, 5], [6], [6], [5, 5], [6], [5, 5], [4, 6], [6], [5, 5], [6]]
[[4, 6], [5, 5], [6], [6], [3, 6], [6], [5, 5], [6], [5, 5], [1, 6], [6], [4, 6], [4, 6], [6], [5, 5], [5, 5], [4, 5], [6], [6], [], [4, 4], [6], [6], [6], [], [5, 5], [3, 6], [6], [5, 5], [6], [4, 4], [3, 6], [4, 6]]
[[4, 6], [4, 6], [6], [6], [6], [6], [4, 6], [6], [5, 5], [1, 6], [4, 6], [6], [6], [6], [5, 5], [5, 5], [6], [6], [5, 5], [5, 5], [5, 5], [], [], [6], [6], [6], [5], [6], [5, 5], [4, 4], [4, 6], [4, 4], [3, 3, 3], [6]]
[[1, 6], [], [5, 5], [5, 5], [4, 4], [4, 4], [6], [5, 5], [6], [6], [6], [6], [6], [6], [5, 5], [5, 5], [4, 6], [5, 5], [6], [6], [4, 6], [6], [6], [], [6], [6], [6], [6], [3, 3, 3], [6], [4, 4], [5, 5], [4, 6], [6], [5]]
[[3, 6], [3, 6], [1, 6], [6], [6], [6], [6], [6], [4, 5], [4, 5], [5], [6], [4, 5], [6], [5], [6], [5], [6], [4, 5], [5], [4, 5], [6], [4, 5], [3, 6], [5], [6], [6], [6], [4, 5], [6], [4, 5], [6], [6], [4, 5], [6], [5]]
[[3, 6], [6], [6], [6], [6], [3, 6], [4, 5], [4, 5], [5], [6], [4, 5], [6], [4, 5], [4, 5], [6], [4, 5], [6], [4, 5], [6], [5], [6], [1, 6], [6], [6], [6], [6], [5], [6], [], [6], [5], [4, 5], [4, 5], [5], [6], [5], [3, 6]]
[[1, 6], [6], [6], [6], [6], [6], [4, 5], [5], [6], [4, 5], [6], [5], [6], [6], [6], [6], [6], [6], [6], [4, 5], [6], [4, 5], [6], [4, 5], [4, 5], [6], [6], [5], [6], [5], [5], [3, 3, 3], [4, 5], [6], [5], [5], [4, 4], [5]]
[[1, 6], [6], [6], [6], [6], [6], [4, 4], [5], [4, 5], [6], [6], [6], [4, 5], [6], [6], [5], [6], [6], [4, 4], [4, 5], [5], [6], [3, 3, 3], [6], [6], [6], [6], [5], [6], [6], [5], [4, 5], [5], [6], [4, 5], [5], [5], [5], [5]]
[[1, 6], [6], [6], [6], [6], [6], [6], [5], [5], [4, 5], [5], [5], [4, 5], [3, 3, 3], [6], [6], [4, 5], [6], [6], [4, 4], [6], [4, 5], [6], [6], [6], [5], [6], [5], [5], [6], [6], [6], [6], [6], [4, 5], [], [5], [5], [5], [4, 4]]
[[6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [6], [4, 5], [6], [6], [6], [6], [6], [6], [5], [3, 3, 3], [6], [6], [6], [1, 6], [4, 5], [5], [4, 5], [5], [4, 4], [], [4, 5], [6], [4, 5], [5], [4, 5], [], [5], [5], [6], [], [5], [5]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [1, 3, 3], [6], [6], [4], [6], [3, 5], [6], [4, 4], [6], [5], [6], [5], [6], [4, 4], [5], [5], [5], [5], [5], [5], [5], [4, 4], [6], [6], [5], [4, 4], [5], [5], [5], [5]]
[[1, 6], [6], [6], [6], [6], [6], [3, 5], [5], [6], [6], [6], [5], [4, 4], [6], [4], [5], [6], [3, 3], [5], [4, 4], [4, 4], [5], [5], [5], [6], [6], [6], [5], [5], [5], [6], [5], [5], [6], [6], [6], [4, 4], [5], [6], [5], [6], [6], []]
[[1, 6], [6], [6], [6], [6], [6], [3, 5], [4], [6], [5], [6], [], [6], [6], [6], [], [6], [6], [6], [4, 4], [6], [6], [6], [4, 4], [6], [6], [6], [6], [4, 4], [5], [5], [5], [5], [5], [5], [5], [5], [5], [5], [4, 4], [3, 3], [5], [5], [5]]
[[1, 6], [6], [6], [6], [6], [6], [4], [6], [3, 5], [5], [5], [5], [5], [6], [6], [4], [6], [4], [6], [6], [6], [6], [4], [6], [5], [5], [5], [6], [5], [5], [6], [5], [5], [5], [4, 4], [6], [6], [4], [4], [4], [6], [5], [5], [6], [3, 3]]
[[6], [6], [6], [6], [6], [6], [5], [6], [4], [], [6], [6], [5], [5], [4, 4], [5], [], [4, 4], [6], [4, 4], [6], [6], [], [5], [5], [], [5], [6], [3, 5], [6], [6], [6], [5], [6], [5], [6], [6], [5], [3, 3], [5], [5], [5], [5], [4, 4], [6], [1, 6]]
[[6], [6], [6], [6], [6], [6], [6], [6], [6], [6], [5], [], [3, 5], [], [4], [], [1, 6], [5], [], [5], [6], [4, 4], [], [6], [5], [5], [5], [4, 4], [5], [4, 4], [5], [5], [5], [5], [6], [6], [5], [3, 3], [6], [5], [4, 4], [5], [6], [6], [6], [6], [6]]
[[6], [6], [6], [6], [6], [6], [4, 4], [6], [6], [6], [3, 5], [3, 5], [5], [6], [5], [6], [6], [6], [5], [6], [6], [5], [5], [6], [5], [1, 4], [5], [], [], [4, 4], [4], [3, 5], [4], [], [], [6], [5], [5], [5], [5], [4, 4], [6], [6], [], [6], [6], [5], []]
[[6], [6], [6], [6], [6], [6], [4], [4, 4], [], [3, 5], [6], [4, 4], [5], [], [6], [5], [5], [6], [5], [6], [6], [6], [5], [], [4, 4], [5], [], [6], [], [5], [], [], [6], [6], [6], [6], [5], [6], [3, 3], [5], [5], [1, 5], [4, 4], [6], [6], [5], [6], [5], [5]]
[[6], [6], [6], [6], [6], [6], [5], [6], [], [1, 5], [], [5], [6], [4], [6], [5], [5], [6], [6], [5], [5], [4], [6], [4], [6], [4], [4], [3], [5], [5], [6], [6], [5], [6], [], [5], [6], [6], [6], [5], [4], [3, 3], [4], [6], [5], [4], [4], [5], [6], [5]]
-EndAllocation

Instance: [[1], [246], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]; Results for m' = 2,...,50. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 5, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [4, 5, 5, 5, 6, 6], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6, 6], [4, 4, 4], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6, 6, 6]]
[[], [5, 5, 5, 5], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], []]
[[], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4, 4, 4], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4, 4], [], [4], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [5, 5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[], [6, 6, 6, 6], [6, 6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 6, 6, 6], [], [6, 6, 6, 6], [4, 5, 5, 5, 5], [4, 4, 4, 5, 5], []]
[[], [6, 6, 6], [6, 6, 6], [5, 5, 5, 5], [4, 4], [5, 5, 5, 5], [5, 5, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 6, 6, 6], [6, 6, 6], [4, 6, 6, 6], [4, 4, 4, 4, 4], [], [6, 6, 6]]
[[], [6, 6], [6, 6, 6], [5, 5], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [4, 4, 4, 4]]
[[], [6, 6, 6], [4, 4, 5, 5], [4, 4, 6, 6], [], [6, 6, 6], [], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4, 4], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [6, 6, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [6, 6, 6], [5, 5, 5], [4, 4, 4, 4], [4, 4, 4, 4], [4, 6, 6], [4, 4], [5], [4, 4, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 4], [5, 5, 5], [], [6, 6, 6], [5, 5, 5]]
[[], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5, 5], [6, 6], [5, 5, 5], [6], [4, 4, 4, 4], [4, 6, 6], [6, 6], [5, 6, 6], [6, 6], [4, 4, 6], [4, 4, 4, 4], [6, 6], [5, 5, 5], [6, 6], [6, 6]]
[[], [], [6, 6], [4, 4, 4, 4], [5, 6, 6], [4, 4, 4, 4], [6, 6], [4, 6, 6], [], [6, 6], [5, 5, 5], [4, 6, 6], [5, 5, 5], [5, 5, 6], [5, 6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [6], [4, 6, 6]]
[[], [4, 6, 6], [5, 5, 5], [5, 6], [4, 6, 6], [], [5, 5, 5], [6, 6], [4, 6, 6], [6, 6], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [6, 6], [6, 6], [], [6], [5, 5, 5], [4, 4, 4, 4]]
[[], [], [5, 5, 5], [6, 6], [5, 6], [5, 5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6], [6, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [4, 4, 4, 4], [], [4, 4, 4, 4], [6, 6], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [6, 6], [4, 4, 4], [5, 5], [], [4, 4, 4], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [5, 5], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [4, 5, 5], [5, 5]]
[[], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [6, 6], [4, 5, 5], [5, 5], [6, 6], [], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [], [4, 4, 4]]
[[], [6, 6], [], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [5, 5], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [4], [6, 6], [5, 5], [5, 5], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6]]
[[], [4, 4, 4], [4, 4, 4], [6, 6], [5, 5], [5, 5], [], [5, 5], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [6, 6], [5, 5], [6, 6], [6, 6], [4, 4, 4], [4], [6, 6], [4, 4, 4], [5, 5], [6, 6], []]
[[], [6, 6], [4, 4, 4], [4], [4, 4, 4], [5, 5], [4, 4, 4], [6, 6], [], [6, 6], [], [], [6, 6], [4, 4, 4], [6, 6], [6, 6], [5, 5], [5, 5], [4, 4, 4], [5, 5], [5, 5], [6, 6], [6, 6], [6, 6], [4, 4, 4], [], [6, 6]]
[[], [6, 6], [6, 6], [6, 6], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [5, 5], [], [4, 4, 4], [4, 4, 4], [5, 5], [], [4], [6, 6], [5, 5], [6, 6], [4, 4, 4], [6, 6], [5, 5], [], [5, 5], [4, 4, 4], [], [6, 6], [4, 4, 4]]
[[], [6, 6], [5, 5], [], [6, 6], [5, 5], [4], [], [6, 6], [4, 4, 4], [6, 6], [], [6, 6], [6, 6], [4, 4, 4], [4, 4, 4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [6, 6], [], [4, 4, 4], [4, 4, 4], [6, 6], [], [5, 5], [6, 6], []]
[[], [6, 6], [], [4, 4, 4], [5, 5], [], [6, 6], [], [4], [6, 6], [4, 4, 4], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [4, 4, 4], [6, 6], [], [5, 5], [5, 5], [4, 4, 4], [6, 6], [6, 6], [], [6, 6], [6, 6], [], [], [4, 4, 4]]
[[6], [6], [5, 5], [4, 4], [4, 4], [4, 6], [6], [4, 6], [5, 5], [6], [6], [4, 6], [6], [4, 4], [6], [5, 5], [4, 6], [5, 5], [6], [4, 4], [4, 6], [6], [6], [4, 4], [6], [4, 4], [6], [4, 6], [4, 6], [5, 5], [6]]
[[6], [6], [6], [6], [5, 5], [4, 4], [6], [5, 5], [4, 4], [5, 5], [6], [4, 4], [4, 6], [5, 5], [6], [4, 4], [4, 6], [6], [4, 4], [6], [6], [6], [6], [4, 6], [6], [4, 4], [5, 5], [6], [4, 6], [4, 6], [6], [4, 4]]
[[6], [6], [4, 4], [6], [5, 5], [6], [6], [6], [6], [4, 6], [4, 4], [5, 5], [6], [5, 5], [4, 4], [6], [6], [6], [4, 4], [4, 6], [6], [4, 4], [4, 4], [4, 6], [4, 4], [6], [6], [6], [6], [4, 4], [6], [5, 5], [5, 5]]
[[6], [6], [5, 5], [5, 5], [5, 5], [4, 4], [4, 4], [4, 4], [6], [6], [6], [6], [4, 6], [5, 5], [6], [6], [5, 5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [4, 4], [4, 4], [6], [4, 4], [6], [6], [6], [4, 4], [6], [6]]
[[], [4, 4], [6], [6], [6], [6], [6], [6], [6], [6], [6], [4, 4], [5, 5], [4, 4], [6], [5, 5], [6], [4, 4], [4, 6], [4, 4], [6], [6], [6], [5, 5], [5, 5], [4, 4], [6], [4, 4], [6], [4, 4], [4, 4], [5, 5], [6], [6], [6]]
[[6], [6], [6], [4, 5], [5], [4, 5], [6], [4, 4], [4, 4], [4, 4], [4, 5], [4, 4], [6], [6], [6], [6], [6], [4, 5], [4, 5], [6], [4, 5], [6], [5], [4, 5], [6], [6], [6], [6], [6], [4, 4], [5], [6], [4, 4], [6], [6], [6]]
[[5], [6], [4, 4], [6], [6], [6], [4, 5], [6], [4, 4], [4, 4], [6], [4, 5], [6], [6], [5], [6], [6], [4, 4], [4, 5], [6], [5], [4, 5], [6], [6], [4, 5], [4, 5], [4, 4], [6], [5], [6], [6], [6], [4], [6], [6], [4, 4], [6]]
[[6], [4, 4], [5], [4, 5], [6], [6], [6], [4, 5], [5], [4, 4], [6], [6], [4, 4], [4, 4], [6], [6], [4, 4], [6], [6], [4, 4], [6], [6], [6], [5], [6], [6], [5], [6], [6], [4, 4], [5], [5], [4, 4], [4, 5], [5], [6], [6], [6]]
[[6], [6], [6], [6], [5], [6], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [5], [6], [6], [6], [4, 5], [4, 4], [6], [6], [4, 4], [5], [5], [5], [6], [4, 4], [6], [5], [4, 4], [5], [4, 4], [4, 4], [6], [4, 4], [5], [6], [5]]
[[6], [4, 5], [6], [], [4, 4], [4, 5], [5], [4, 4], [6], [4, 4], [4, 5], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [4, 4], [6], [4, 5], [5], [6], [6], [4, 4], [6], [], [6], [6], [6], [6], [6], [6], [5], [4, 5], [], [6], [6], [5]]
[[5], [6], [5], [4, 4], [5], [6], [6], [5], [5], [5], [4, 4], [6], [6], [4, 4], [6], [6], [6], [4, 4], [6], [4, 4], [6], [6], [5], [4, 4], [6], [6], [6], [], [6], [6], [6], [6], [4, 4], [5], [5], [6], [6], [4, 4], [5], [4], [4, 4]]
[[6], [6], [4, 4], [4, 4], [6], [4], [6], [5], [4, 4], [5], [4, 4], [], [6], [6], [6], [6], [6], [4, 4], [6], [6], [5], [4, 4], [6], [5], [5], [6], [6], [5], [], [6], [5], [4, 4], [5], [6], [6], [6], [5], [6], [4, 4], [4, 4], [5], [6]]
[[6], [6], [4, 4], [6], [6], [4, 4], [6], [5], [5], [5], [4, 4], [4, 4], [6], [6], [6], [6], [6], [6], [5], [4, 4], [], [6], [5], [5], [5], [5], [4], [6], [4, 4], [6], [6], [6], [6], [4, 4], [5], [6], [5], [6], [4, 4], [], [6], [4, 4], []]
[[5], [], [5], [6], [5], [], [4, 4], [5], [4, 4], [4, 4], [6], [6], [5], [6], [4], [6], [6], [5], [5], [6], [6], [4, 4], [4, 4], [6], [6], [6], [5], [6], [4, 4], [4, 4], [4, 4], [], [5], [6], [6], [4, 4], [6], [6], [6], [6], [6], [], [6], [5]]
[[5], [6], [6], [6], [6], [4, 4], [6], [], [6], [4, 4], [5], [4, 4], [6], [4], [4, 4], [5], [5], [6], [6], [6], [], [5], [6], [4, 4], [6], [5], [5], [5], [5], [], [], [4, 4], [6], [4, 4], [6], [5], [4, 4], [6], [6], [4, 4], [], [6], [6], [6], [6]]
[[], [6], [6], [6], [5], [6], [5], [4, 4], [6], [6], [5], [5], [4], [6], [5], [6], [], [4, 4], [5], [6], [4, 4], [6], [4, 4], [6], [4, 4], [4, 4], [], [6], [5], [], [4, 4], [6], [6], [], [6], [4, 4], [6], [5], [6], [4, 4], [6], [], [5], [6], [6], [5]]
[[5], [6], [6], [6], [], [6], [], [5], [6], [], [4, 4], [], [5], [4, 4], [5], [], [4, 4], [5], [6], [6], [6], [6], [6], [6], [6], [5], [4, 4], [4, 4], [6], [4, 4], [6], [6], [5], [6], [4, 4], [5], [], [5], [], [6], [6], [4], [5], [4, 4], [6], [6], [4, 4]]
[[6], [6], [4, 4], [4, 4], [4, 4], [6], [], [5], [6], [5], [6], [6], [5], [6], [6], [6], [6], [6], [6], [], [], [4, 4], [6], [5], [6], [5], [], [5], [6], [4, 4], [], [5], [4, 4], [6], [4, 4], [4], [5], [], [6], [4, 4], [6], [4, 4], [], [5], [6], [5], [], [6]]
[[5], [4, 4], [], [6], [6], [], [6], [6], [], [], [5], [5], [5], [6], [4, 4], [], [6], [6], [], [4], [], [], [6], [6], [5], [5], [6], [6], [6], [5], [4, 4], [6], [6], [6], [6], [5], [6], [5], [6], [4, 4], [5], [4, 4], [], [4, 4], [4, 4], [6], [4, 4], [6], [4, 4]]
[[4], [6], [6], [4], [5], [5], [4], [6], [5], [4], [6], [6], [6], [6], [4], [5], [4], [5], [6], [], [4], [6], [4], [4], [4], [5], [4], [6], [6], [6], [6], [6], [4], [5], [4], [6], [6], [4], [4], [6], [4], [5], [5], [5], [6], [4], [4], [6], [4], [6]]
-EndAllocation

Instance: [[1], [18], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7]; Results for m' = 2,...,3. UB Alg: [12, 8], Opt: [9, 6]
Allocation for m' = 2,...,3:
-StartAllocation
[[5, 6], [7]]
[[6], [5], [7]]
-EndAllocation

Instance: [[1], [17], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6]; Results for m' = 2,...,3. UB Alg: [12, 8], Opt: [9, 6]
Allocation for m' = 2,...,3:
-StartAllocation
[[6, 6], [5]]
[[5], [6], [6]]
-EndAllocation

Instance: [[1], [16], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6]; Results for m' = 2,...,3. UB Alg: [10, 8], Opt: [8, 6]
Allocation for m' = 2,...,3:
-StartAllocation
[[6], [5, 5]]
[[6], [5], [5]]
-EndAllocation

Instance: [[1], [24], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 8]; Results for m' = 2,...,4. UB Alg: [16, 10, 8], Opt: [12, 8, 6]
Allocation for m' = 2,...,4:
-StartAllocation
[[5, 5, 6], [8]]
[[5, 5], [8], [6]]
[[5], [8], [5], [6]]
-EndAllocation

Instance: [[1], [23], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 8]; Results for m' = 2,...,4. UB Alg: [16, 10, 8], Opt: [12, 8, 6]
Allocation for m' = 2,...,4:
-StartAllocation
[[7, 8], [8]]
[[8], [8], [7]]
[[7], [8], [8], []]
-EndAllocation

Instance: [[1], [22], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 8, 8]; Results for m' = 2,...,4. UB Alg: [14, 10, 8], Opt: [11, 8, 6]
Allocation for m' = 2,...,4:
-StartAllocation
[[6, 8], [8]]
[[6], [8], [8]]
[[8], [], [8], [6]]
-EndAllocation

Instance: [[1], [21], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 8, 8]; Results for m' = 2,...,4. UB Alg: [14, 9, 8], Opt: [11, 7, 6]
Allocation for m' = 2,...,4:
-StartAllocation
[[5, 8], [8]]
[[8], [8], [5]]
[[], [5], [8], [8]]
-EndAllocation

Instance: [[1], [30], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 7, 7]; Results for m' = 2,...,5. UB Alg: [20, 13, 10, 8], Opt: [15, 10, 8, 6]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 5, 6], [7, 7]]
[[5, 5], [7], [6, 7]]
[[5, 5], [7], [6], [7]]
[[5], [6], [5], [7], [7]]
-EndAllocation

Instance: [[1], [29], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7]; Results for m' = 2,...,5. UB Alg: [20, 13, 10, 8], Opt: [15, 10, 8, 6]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 5, 6], [6, 7]]
[[5, 5], [6, 6], [7]]
[[5, 5], [7], [6], [6]]
[[5], [6], [5], [6], [7]]
-EndAllocation

Instance: [[1], [28], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 8, 8]; Results for m' = 2,...,5. UB Alg: [18, 13, 9, 8], Opt: [14, 10, 7, 6]
Allocation for m' = 2,...,5:
-StartAllocation
[[8, 8], [3, 3, 6]]
[[6], [3, 8], [3, 8]]
[[8], [6], [3, 3], [8]]
[[], [6], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [27], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 7, 8]; Results for m' = 2,...,5. UB Alg: [18, 12, 9, 8], Opt: [14, 9, 7, 6]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 8], [3, 3, 6]]
[[7], [3, 8], [3, 6]]
[[6], [3, 3], [7], [8]]
[[7], [6], [8], [], [3, 3]]
-EndAllocation

Instance: [[1], [26], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7]; Results for m' = 2,...,5. UB Alg: [17, 12, 9, 8], Opt: [13, 9, 7, 6]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 6], [7, 7]]
[[6, 6], [7], [7]]
[[6], [6], [7], [7]]
[[], [7], [6], [7], [6]]
-EndAllocation

Instance: [[1], [36], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7]; Results for m' = 2,...,6. UB Alg: [24, 16, 12, 10, 8], Opt: [18, 12, 9, 8, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 6, 6, 7], [5, 7]]
[[5, 5, 6], [7, 7], [6]]
[[5, 6], [6], [7], [5, 7]]
[[6], [5, 5], [7], [6], [7]]
[[6], [6], [5], [5], [7], [7]]
-EndAllocation

Instance: [[1], [35], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 7, 8, 8]; Results for m' = 2,...,6. UB Alg: [24, 16, 12, 9, 8], Opt: [18, 12, 9, 7, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[7, 8], [4, 4, 4, 8]]
[[4], [4, 4, 7], [8, 8]]
[[7], [8], [4, 4, 4], [8]]
[[8], [4], [8], [4, 4], [7]]
[[], [8], [4, 4], [7], [4], [8]]
-EndAllocation

Instance: [[1], [34], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 8, 8, 8]; Results for m' = 2,...,6. UB Alg: [22, 16, 12, 9, 8], Opt: [17, 12, 9, 7, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 8], [3, 3, 8, 8]]
[[8], [3, 3, 4], [8, 8]]
[[8], [8], [3, 3], [4, 8]]
[[8], [3, 4], [3], [8], [8]]
[[], [8], [3, 3], [4], [8], [8]]
-EndAllocation

Instance: [[1], [33], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 7, 8]; Results for m' = 2,...,6. UB Alg: [22, 14, 12, 9, 8], Opt: [17, 11, 9, 7, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 7, 7], [5, 8]]
[[5, 8], [7, 7], [6]]
[[5, 7], [7], [8], [6]]
[[7], [6], [5], [7], [8]]
[[8], [7], [7], [6], [], [5]]
-EndAllocation

Instance: [[1], [32], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 7, 8]; Results for m' = 2,...,6. UB Alg: [21, 14, 10, 9, 8], Opt: [16, 11, 8, 7, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 5, 8], [7, 7]]
[[5, 5], [7, 7], [8]]
[[7], [7], [5, 5], [8]]
[[8], [5], [7], [5], [7]]
[[7], [7], [8], [5], [], [5]]
-EndAllocation

Instance: [[1], [31], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 7, 7]; Results for m' = 2,...,6. UB Alg: [21, 14, 10, 9, 8], Opt: [16, 11, 8, 7, 6]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 5, 7], [7, 7]]
[[5, 5], [7, 7], [7]]
[[7], [5, 5], [7], [7]]
[[7], [5], [7], [5], [7]]
[[7], [7], [], [5], [7], [5]]
-EndAllocation

Instance: [[1], [42], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 8, 8, 8, 8]; Results for m' = 2,...,7. UB Alg: [28, 18, 14, 12, 9, 8], Opt: [21, 14, 11, 9, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[8, 8], [3, 3, 4, 8, 8]]
[[3, 3, 4], [8, 8], [8, 8]]
[[8], [4, 8], [8], [3, 3, 8]]
[[8], [3], [4, 8], [8], [3, 8]]
[[8], [8], [3, 3], [4], [8], [8]]
[[8], [], [8], [3, 3], [4], [8], [8]]
-EndAllocation

Instance: [[1], [41], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 8, 8, 8, 8]; Results for m' = 2,...,7. UB Alg: [28, 18, 14, 12, 9, 8], Opt: [21, 14, 11, 9, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[8, 8], [3, 3, 3, 8, 8]]
[[3, 3, 3], [8, 8], [8, 8]]
[[8], [8], [3, 8], [3, 3, 8]]
[[8], [3, 3], [8], [8], [3, 8]]
[[], [8], [3, 3, 3], [8], [8], [8]]
[[8], [], [8], [3, 3], [8], [3], [8]]
-EndAllocation

Instance: [[1], [40], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 8, 8, 8]; Results for m' = 2,...,7. UB Alg: [26, 18, 13, 10, 9, 8], Opt: [20, 14, 10, 8, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 3, 7], [8, 8, 8]]
[[7], [8, 8], [3, 3, 3, 8]]
[[3, 8], [3, 3, 7], [8], [8]]
[[8], [8], [3, 3, 3], [8], [7]]
[[], [8], [3, 3, 3], [8], [7], [8]]
[[8], [7], [3, 3], [8], [3], [8], []]
-EndAllocation

Instance: [[1], [39], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 7, 8, 8]; Results for m' = 2,...,7. UB Alg: [26, 17, 13, 10, 9, 8], Opt: [20, 13, 10, 8, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[5, 5, 7, 8], [6, 8]]
[[6, 7], [5, 5], [8, 8]]
[[5, 6], [7], [5, 8], [8]]
[[5, 5], [8], [8], [7], [6]]
[[7], [5], [8], [5], [8], [6]]
[[8], [8], [5], [5], [6], [7], []]
-EndAllocation

Instance: [[1], [38], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 5, 8, 8, 8]; Results for m' = 2,...,7. UB Alg: [25, 17, 13, 10, 9, 8], Opt: [19, 13, 10, 8, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 3, 5], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 5]]
[[8], [8], [5, 8], [3, 3, 3]]
[[8], [8], [3, 3, 3], [8], [5]]
[[8], [8], [3, 3, 3], [8], [], [5]]
[[8], [5], [3, 3], [8], [3], [8], []]
-EndAllocation

Instance: [[1], [37], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 8, 8, 8]; Results for m' = 2,...,7. UB Alg: [25, 17, 13, 10, 9, 8], Opt: [19, 13, 10, 8, 7, 6]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 3, 4], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 4]]
[[8], [8], [4, 8], [3, 3, 3]]
[[8], [3], [3, 3, 4], [8], [8]]
[[8], [4], [3, 3, 3], [8], [], [8]]
[[8], [], [3, 3], [8], [3], [8], [4]]
-EndAllocation

Instance: [[1], [48], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 8, 8, 8, 8]; Results for m' = 2,...,8. UB Alg: [32, 21, 16, 13, 10, 9, 8], Opt: [24, 16, 12, 10, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 4, 8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [8]]
[[], [], [8], [4, 4], [8], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [47], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 8, 8, 8]; Results for m' = 2,...,8. UB Alg: [32, 21, 16, 13, 10, 9, 8], Opt: [24, 16, 12, 10, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 4, 8, 8], [7, 8]]
[[8], [4, 8, 8], [4, 4, 4, 7]]
[[], [8, 8], [4, 4, 7], [4, 4, 8]]
[[8], [4, 8], [8], [7], [4, 4, 4]]
[[7], [8], [8], [4, 4], [4, 4], [8]]
[[], [8], [4, 4], [8], [7], [4, 4], [8]]
[[], [], [8], [4, 4], [8], [7], [8], [4, 4]]
-EndAllocation

Instance: [[1], [46], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 7, 7, 8, 8]; Results for m' = 2,...,8. UB Alg: [30, 21, 16, 13, 10, 9, 8], Opt: [23, 16, 12, 10, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 7, 8], [5, 5, 6, 8]]
[[5, 8, 8], [5, 7, 7], [6]]
[[8, 8], [6], [5, 5], [7, 7]]
[[6, 7], [5, 8], [5], [8], [7]]
[[5, 5], [6], [8], [7], [7], [8]]
[[5], [7], [8], [7], [8], [6], [5]]
[[8], [5], [], [6], [5], [7], [7], [8]]
-EndAllocation

Instance: [[1], [45], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 7, 7, 7, 8]; Results for m' = 2,...,8. UB Alg: [30, 20, 16, 12, 10, 9, 8], Opt: [23, 15, 12, 9, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 7, 7], [5, 5, 6, 8]]
[[5, 7, 8], [5, 7, 7], [6]]
[[7, 8], [6], [5, 5], [7, 7]]
[[5, 7], [8], [5, 6], [7], [7]]
[[7], [6], [8], [7], [7], [5, 5]]
[[7], [7], [8], [7], [5], [6], [5]]
[[7], [5], [], [6], [5], [7], [7], [8]]
-EndAllocation

Instance: [[1], [44], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7, 8]; Results for m' = 2,...,8. UB Alg: [29, 20, 14, 12, 10, 9, 8], Opt: [22, 15, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 7, 7], [5, 5, 6, 8]]
[[5, 5, 8], [7, 7], [6, 6]]
[[6, 7], [6, 8], [5, 5], [7]]
[[6, 6], [8], [5, 5], [7], [7]]
[[6], [7], [7], [5, 5], [6], [8]]
[[6], [7], [7], [8], [5], [5], [6]]
[[7], [7], [5], [6], [8], [], [5], [6]]
-EndAllocation

Instance: [[1], [43], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 8]; Results for m' = 2,...,8. UB Alg: [29, 20, 14, 12, 10, 9, 8], Opt: [22, 15, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 7], [5, 5, 6, 8]]
[[5, 5, 8], [7], [6, 6, 6]]
[[6, 6], [6, 8], [5, 5], [7]]
[[5, 6], [8], [5], [7], [6, 6]]
[[5, 5], [7], [6], [6], [6], [8]]
[[6], [6], [7], [8], [5], [5], [6]]
[[6], [7], [5], [6], [5], [8], [], [6]]
-EndAllocation

Instance: [[1], [54], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 8, 8, 8, 8]; Results for m' = 2,...,9. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8], Opt: [27, 18, 14, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 6], [4, 8, 8, 8, 8]]
[[6], [4, 4, 4, 4, 8], [8, 8, 8]]
[[4], [8, 8], [8, 8], [4, 4, 4, 6]]
[[8], [4, 8], [4, 4, 6], [4, 8], [8]]
[[8], [8], [8], [6], [4, 8], [4, 4, 4]]
[[8], [4, 4], [4, 4], [6], [8], [8], [8]]
[[8], [6], [4, 4], [8], [8], [], [8], [4, 4]]
[[8], [8], [], [4, 4], [], [8], [6], [8], [4, 4]]
-EndAllocation

Instance: [[1], [53], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 7, 8, 8, 8]; Results for m' = 2,...,9. UB Alg: [36, 24, 18, 14, 12, 10, 9, 8], Opt: [27, 18, 14, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 4, 6], [4, 7, 8, 8, 8]]
[[6], [4, 4, 4, 4, 7], [8, 8, 8]]
[[4], [7, 8], [8, 8], [4, 4, 4, 6]]
[[8], [4, 8], [4, 4, 6], [4, 7], [8]]
[[8], [8], [8], [7], [4, 6], [4, 4, 4]]
[[8], [4, 4], [4, 4], [6], [7], [8], [8]]
[[8], [6], [4, 4], [7], [8], [], [8], [4, 4]]
[[8], [8], [], [4, 4], [7], [8], [6], [], [4, 4]]
-EndAllocation

Instance: [[1], [52], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7, 8, 8]; Results for m' = 2,...,9. UB Alg: [34, 24, 17, 14, 12, 10, 9, 8], Opt: [26, 18, 13, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 6, 8, 8], [6, 7, 7]]
[[6, 7, 7], [5, 5, 8], [6, 8]]
[[8, 8], [7, 7], [5, 6, 6], [5]]
[[5, 8], [7, 7], [6, 6], [5], [8]]
[[5, 7], [8], [5, 7], [], [8], [6, 6]]
[[6], [7], [8], [5, 5], [6], [8], [7]]
[[5], [6], [6], [8], [7], [8], [5], [7]]
[[6], [8], [8], [7], [7], [], [5], [6], [5]]
-EndAllocation

Instance: [[1], [51], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7, 7, 8]; Results for m' = 2,...,9. UB Alg: [34, 22, 17, 14, 12, 10, 9, 8], Opt: [26, 17, 13, 11, 9, 8, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 6, 6, 8], [7, 7, 7]]
[[7, 7, 7], [5, 5, 8], [6, 6]]
[[6, 8], [7, 7], [6, 7], [5, 5]]
[[5, 8], [], [6, 6], [5, 7], [7, 7]]
[[5, 7], [7], [5, 7], [], [8], [6, 6]]
[[6], [7], [7], [5, 5], [6], [8], [7]]
[[7], [6], [6], [5], [7], [8], [5], [7]]
[[7], [6], [8], [7], [7], [], [5], [6], [5]]
-EndAllocation

Instance: [[1], [50], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 7, 7, 8, 8]; Results for m' = 2,...,9. UB Alg: [33, 22, 17, 13, 12, 10, 9, 8], Opt: [25, 17, 13, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[7, 7, 8, 8], [5, 5, 5, 5]]
[[5, 5, 5, 5], [7, 7], [8, 8]]
[[8, 8], [5], [7, 7], [5, 5, 5]]
[[5, 7], [5, 7], [8], [8], [5, 5]]
[[5, 7], [5, 7], [8], [], [8], [5, 5]]
[[7], [5, 5], [8], [], [7], [8], [5, 5]]
[[5], [7], [5], [5], [8], [7], [5], [8]]
[[5], [8], [5], [], [7], [5], [7], [8], [5]]
-EndAllocation

Instance: [[1], [49], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 8, 8, 8]; Results for m' = 2,...,9. UB Alg: [33, 22, 17, 13, 12, 9, 9, 8], Opt: [25, 17, 13, 10, 9, 7, 7, 6]
Allocation for m' = 2,...,9:
-StartAllocation
[[8, 8], [4, 4, 4, 4, 4, 5, 8]]
[[8], [4, 4, 4, 4, 5], [4, 8, 8]]
[[], [4, 5, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 4, 4], [5, 8], [4], [4, 8]]
[[], [8], [4, 5], [8], [4, 4, 4], [4, 8]]
[[], [8], [4, 5], [8], [4, 4], [8], [4, 4]]
[[8], [4, 5], [4, 4], [4, 4], [8], [], [8], []]
[[], [8], [5], [8], [4, 4], [4, 4], [4], [8], []]
-EndAllocation

Instance: [[1], [60], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,10. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 3, 3, 3, 8], [8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8], [3, 3, 3, 3, 8]]
[[8], [8, 8], [3, 3, 3, 3, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3], [8, 8], [8, 8]]
[[8], [3, 8], [3, 8], [8], [3, 8], [3, 8]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [3], [8], [3, 3, 3], [8], [8], [8]]
[[], [8], [8], [8], [3], [3, 3, 3], [8], [8], [8]]
[[8], [3, 3], [8], [8], [], [3, 3], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [59], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,10. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9, 8], Opt: [30, 20, 15, 12, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 3, 3, 3, 7], [8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8], [3, 3, 3, 3, 7]]
[[8], [8, 8], [3, 3, 3, 3, 7], [8, 8]]
[[], [8, 8], [3, 3, 3, 3], [8, 8], [7, 8]]
[[8], [3, 8], [3, 8], [3, 8], [7], [3, 8]]
[[8], [8], [3, 3, 3, 3], [7], [8], [8], [8]]
[[7], [8], [3], [8], [3, 3, 3], [8], [8], [8]]
[[], [8], [8], [8], [3], [3, 3, 3], [8], [8], [7]]
[[], [3, 3], [8], [8], [3, 3], [7], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [58], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 7, 8, 8]; Results for m' = 2,...,10. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9, 8], Opt: [29, 20, 15, 12, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 6, 6, 6, 7, 7], [5, 8, 8]]
[[5, 5, 6, 6], [6, 7, 7], [8, 8]]
[[8, 8], [5, 5], [6, 6, 6], [7, 7]]
[[8, 8], [5, 5, 6], [6, 6], [7, 7], []]
[[5, 8], [], [6, 7], [5, 6], [6, 7], [8]]
[[6, 6], [5, 5], [7], [8], [8], [6], [7]]
[[6], [7], [7], [8], [5, 5], [6], [8], [6]]
[[8], [5], [7], [7], [6], [5], [8], [6], [6]]
[[6], [8], [7], [], [5], [6], [8], [5], [6], [7]]
-EndAllocation

Instance: [[1], [57], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 7, 7, 8, 8]; Results for m' = 2,...,10. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9, 8], Opt: [29, 19, 15, 12, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 6, 6, 7, 7], [5, 8, 8]]
[[5, 5, 5, 6], [6, 7, 7], [8, 8]]
[[8, 8], [5, 5, 5], [6, 6], [7, 7]]
[[8, 8], [5, 5, 5], [6, 6], [7, 7], []]
[[5, 5], [], [6, 7], [5, 8], [6, 7], [8]]
[[5, 6], [5, 5], [7], [8], [8], [6], [7]]
[[5, 5], [7], [7], [8], [5], [6], [8], [6]]
[[8], [5], [7], [7], [6], [5], [8], [5], [6]]
[[], [8], [7], [8], [5], [6], [7], [5], [6], [5]]
-EndAllocation

Instance: [[1], [56], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,10. UB Alg: [37, 25, 18, 16, 13, 10, 9, 9, 8], Opt: [28, 19, 14, 12, 10, 8, 7, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[8, 8, 8], [2, 2, 2, 2, 8, 8, 8]]
[[2, 2, 2, 2], [8, 8, 8], [8, 8, 8]]
[[8], [2, 8, 8], [2, 2, 8], [2, 8, 8]]
[[], [8, 8], [8, 8], [2, 2, 2, 2], [8, 8]]
[[8], [8], [2, 2, 8], [8], [8], [2, 2, 8]]
[[8], [2, 2, 2, 2], [8], [8], [8], [8], [8]]
[[8], [], [8], [8], [8], [2, 2, 2, 2], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [2, 2, 2, 2], []]
[[], [8], [8], [2, 2, 2, 2], [8], [8], [], [], [8], [8]]
-EndAllocation

Instance: [[1], [55], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 7, 7, 8, 8, 8]; Results for m' = 2,...,10. UB Alg: [37, 25, 18, 14, 13, 10, 9, 9, 8], Opt: [28, 19, 14, 11, 10, 8, 7, 7, 6]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 8, 8, 8], [7, 7, 7]]
[[5, 5, 7, 7], [7], [8, 8, 8]]
[[7, 8], [7, 7], [5, 5], [8, 8]]
[[5, 8], [8], [5, 8], [7], [7, 7]]
[[5, 8], [7], [8], [5, 7], [7], [8]]
[[8], [5, 5], [7], [7], [8], [8], [7]]
[[8], [5], [8], [5], [7], [7], [8], [7]]
[[5], [8], [7], [8], [8], [], [7], [7], [5]]
[[7], [], [7], [8], [8], [5], [7], [], [8], [5]]
-EndAllocation

Instance: [[1], [66], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9, 8], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[6, 8, 8], [3, 3, 3, 3, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8], [3, 3, 3, 3, 6, 8]]
[[8], [3, 3, 3, 3, 8], [8, 8], [6, 8, 8]]
[[], [8, 8], [3, 3, 3, 3, 6], [8, 8], [8, 8]]
[[8], [3, 3, 8], [8], [3, 3, 8], [6, 8], [8]]
[[8], [8], [3, 8], [3, 8], [3, 3, 6], [8], [8]]
[[8], [8], [8], [3, 3, 3, 3], [8], [6], [8], [8]]
[[8], [8], [6], [8], [8], [8], [3], [8], [3, 3, 3]]
[[8], [3], [8], [8], [8], [8], [6], [], [3, 3, 3], [8]]
[[8], [8], [], [8], [], [8], [6], [3, 3], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [65], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9, 8], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[6, 8, 8], [3, 3, 3, 3, 7, 8, 8, 8]]
[[8, 8], [7, 8, 8], [3, 3, 3, 3, 6, 8]]
[[8], [3, 3, 3, 3, 8], [7, 8], [6, 8, 8]]
[[], [3, 3, 3, 8], [3, 6, 7], [8, 8], [8, 8]]
[[8], [3, 3, 8], [8], [3, 3, 7], [6, 8], [8]]
[[8], [8], [8], [3, 3, 3, 3], [6, 7], [8], [8]]
[[8], [8], [7], [3, 3, 3, 3], [8], [6], [8], [8]]
[[8], [8], [6], [8], [], [8], [3, 3, 3], [8], [3, 7]]
[[8], [3], [8], [8], [], [8], [6], [7], [3, 3, 3], [8]]
[[8], [8], [7], [8], [], [8], [6], [3, 3], [], [8], [3, 3]]
-EndAllocation

Instance: [[1], [64], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9, 8], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 8]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [4, 4]]
[[8], [8], [], [], [4, 4], [4, 4], [8], [8], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [63], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9, 9, 8], Opt: [32, 21, 16, 13, 11, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 8, 8], [3, 3, 3, 3, 3, 8, 8, 8]]
[[8], [3, 3, 3, 3, 8, 8], [3, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [3, 3, 8], [3, 8], [8]]
[[8], [8], [8], [3, 3, 3, 3], [3, 8], [8], [8]]
[[8], [8], [3, 3], [3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [], [8], [8], [3, 3, 3], [8], [3, 3], [8]]
[[8], [8], [8], [], [3, 3, 3], [8], [3, 3], [8], [8], []]
[[8], [], [3], [8], [3, 3], [8], [], [8], [8], [3, 3], [8]]
-EndAllocation

Instance: [[1], [62], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[7, 8, 8], [3, 3, 3, 3, 3, 8, 8, 8]]
[[7], [3, 3, 3, 3, 8, 8], [3, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3], [7, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [7, 8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [3, 3, 7], [3, 8], [8]]
[[8], [7], [8], [3, 3, 3, 3], [3, 8], [8], [8]]
[[7], [8], [3, 3], [3, 3, 3], [8], [8], [8], [8]]
[[8], [], [7], [8], [8], [3, 3, 3], [8], [3, 3], [8]]
[[8], [8], [8], [], [3, 3, 3], [8], [3, 3], [8], [7], []]
[[8], [], [3], [8], [3, 3], [8], [], [7], [8], [3, 3], [8]]
-EndAllocation

Instance: [[1], [61], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8]; Results for m' = 2,...,11. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9, 9, 8], Opt: [31, 21, 16, 13, 11, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 8, 8], [3, 3, 3, 3, 3, 6, 8, 8]]
[[8], [3, 3, 3, 3, 6, 8], [3, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 6], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [6, 8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 3, 3], [6, 8], [3, 8], [8]]
[[8], [6], [8], [3, 3, 3, 3], [3, 8], [8], [8]]
[[8], [8], [3, 3], [3, 3, 3], [8], [8], [6], [8]]
[[8], [8], [], [8], [6], [3, 3, 3], [8], [3, 3], [8]]
[[], [8], [8], [6], [3, 3, 3], [8], [3, 3], [8], [8], []]
[[8], [], [3], [8], [3, 3], [8], [], [8], [8], [3, 3], [6]]
-EndAllocation

Instance: [[1], [72], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[8, 8, 8], [3, 3, 3, 3, 4, 8, 8, 8, 8]]
[[3, 3, 4], [8, 8, 8, 8], [3, 3, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 4, 8]]
[[], [4, 8, 8], [3, 3, 3, 3, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 4], [8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [8], [3, 3, 8], [4, 8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [4, 8]]
[[8], [3, 4], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [3], [8], [3, 3, 3], [8], [8], [8], [4]]
[[8], [3, 3, 3], [8], [8], [4], [3], [8], [8], [8], [], [8]]
[[8], [8], [], [3, 3], [3, 3], [8], [4], [8], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [71], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9, 8], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[8, 8, 8], [3, 3, 3, 3, 3, 8, 8, 8, 8]]
[[3, 3, 3], [8, 8, 8, 8], [3, 3, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [8], [8]]
[[8], [3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [3, 3], [8], [3, 3, 3], [8], [8], [], [8]]
[[8], [3, 3, 3], [8], [8], [], [3, 3], [8], [8], [8], [], [8]]
[[8], [8], [], [3, 3], [3, 3], [8], [8], [3], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [70], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 4, 6, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9, 9, 8], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 6, 7, 7], [2, 4, 8, 8, 8, 8, 8]]
[[2, 4], [8, 8, 8, 8], [2, 2, 6, 7, 7, 8]]
[[], [2, 2, 2, 8, 8], [4, 6, 7, 7], [8, 8, 8]]
[[8], [6, 8], [4, 7, 7], [8, 8], [2, 2, 2, 8]]
[[], [8, 8], [7, 7], [2, 2, 2, 8], [4, 6], [8, 8]]
[[8], [8], [6, 7], [8], [8], [2, 2, 2, 7], [4, 8]]
[[8], [8], [2, 2, 2, 6], [4, 7], [8], [7], [8], [8]]
[[6], [8], [8], [8], [7], [2, 2, 2, 4], [8], [8], [7]]
[[6], [8], [2, 2, 2], [8], [7], [4], [7], [8], [8], [8]]
[[], [8], [4], [7], [8], [6], [8], [8], [2, 2, 2], [7], [8]]
[[], [8], [8], [7], [8], [7], [], [], [8], [2, 6], [2, 2, 4], [8]]
-EndAllocation

Instance: [[1], [69], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 6, 6, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9, 9, 8], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[6, 6, 7, 7], [1, 1, 1, 8, 8, 8, 8, 8]]
[[6, 7], [6, 8, 8, 8], [1, 1, 1, 7, 8, 8]]
[[], [6, 8, 8], [1, 1, 1, 6, 7, 7], [8, 8, 8]]
[[8], [1, 1, 1, 6, 6], [7, 7], [8, 8], [8, 8]]
[[], [8, 8], [1, 1, 7, 7], [8], [1, 6, 6], [8, 8]]
[[8], [8], [6, 7], [6, 7], [8], [1, 1, 1, 8], [8]]
[[8], [8], [6, 6], [7], [1, 1, 1, 8], [7], [8], [8]]
[[6], [7], [8], [8], [8], [1, 1, 1, 7], [8], [8], [6]]
[[6], [8], [8], [8], [6], [7], [7], [1, 1, 1], [8], [8]]
[[8], [8], [1, 1, 1], [7], [8], [6], [8], [7], [], [6], [8]]
[[], [8], [8], [7], [8], [7], [], [1, 1, 1], [8], [6], [6], [8]]
-EndAllocation

Instance: [[1], [68], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8]]
[[4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 8, 8]]
[[8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8]]
[[8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4], [8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4], [4, 4], [4, 4]]
[[8], [8], [4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4]]
[[], [8], [4, 4], [4], [8], [4, 4], [8], [8], [4, 4], [8], []]
[[8], [8], [8], [4], [8], [], [], [4, 4], [8], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [67], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8]; Results for m' = 2,...,12. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9, 9, 8], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 7], [4, 4, 4, 8, 8, 8, 8]]
[[4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 7, 8]]
[[8, 8], [4, 4, 4, 4], [4, 4, 4, 7], [8, 8]]
[[4], [4, 4, 7], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 7], [4], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [7], [8], [4, 4, 4], [8], [4, 4, 4]]
[[], [4, 8], [4], [4, 7], [4, 8], [4, 4, 4], [8], [8]]
[[7], [8], [4, 4], [8], [8], [8], [4], [4, 4], [4, 4]]
[[], [8], [4], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4]]
[[], [8], [4, 4], [7], [8], [4, 4], [8], [8], [4, 4], [], [4]]
[[], [8], [8], [4], [8], [7], [], [4, 4], [8], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [78], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9, 8], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[6, 6, 7, 8], [2, 2, 3, 4, 8, 8, 8, 8, 8]]
[[6, 6], [8, 8, 8, 8], [2, 2, 3, 4, 7, 8, 8]]
[[8], [3, 6, 6, 8], [8, 8, 8], [2, 2, 4, 7, 8]]
[[8], [2, 2, 7, 8], [6, 6, 8], [8, 8], [3, 4, 8]]
[[8], [2, 2, 8], [3, 8], [8, 8], [4, 6, 6], [7, 8]]
[[], [8, 8], [6, 6], [2, 2, 8], [8, 8], [4, 7], [3, 8]]
[[8], [7], [2, 2, 8], [6, 6], [3, 8], [4, 8], [8], [8]]
[[8], [4, 7], [3, 8], [2, 2, 8], [8], [8], [6, 6], [8], []]
[[8], [8], [6], [8], [3, 7], [8], [2, 2, 6], [4], [8], [8]]
[[], [8], [3, 4], [8], [6], [8], [8], [8], [8], [2, 2, 6], [7]]
[[8], [8], [2, 2], [4], [8], [7], [], [3, 6], [8], [6], [8], [8]]
[[8], [8], [4], [8], [8], [8], [6], [], [8], [3], [6], [7], [2, 2]]
-EndAllocation

Instance: [[1], [77], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9, 9, 8], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 5], [4, 8, 8, 8, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8]]
[[8], [5, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [4, 8, 8], [5, 8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 8], [8, 8], [5, 8], [4, 4, 4, 4], [8, 8]]
[[8], [5, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [8], [5, 8], [4, 4, 4], [4, 4], [4, 8], [8], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [5]]
[[8], [8], [4, 4], [8], [5], [4, 4], [8], [4, 4], [8], [8]]
[[], [8], [4], [8], [8], [8], [4, 4], [4, 5], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [], [4, 4], [8], [5], [], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [], [], [8], [8], [5]]
-EndAllocation

Instance: [[1], [76], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9, 9, 8], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 4, 4], [], [4, 4, 4], [4, 8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [8]]
[[], [8], [4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [4, 4], [4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [4], [], [8], [8], []]
-EndAllocation

Instance: [[1], [75], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8]]
[[4, 8], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8]]
[[8], [4, 7, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [8, 8], [4, 4, 8], [7, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 7]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [7], [8]]
[[8], [4, 7], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [4], [4, 4], [7], [8]]
[[7], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [4], [7], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [4], [], [8], [8], [7]]
-EndAllocation

Instance: [[1], [74], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8]]
[[6, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [4, 6, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [6, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 6], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 4, 6], [4, 4, 4], [4, 8], [8], [8]]
[[8], [6], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 4, 4], [6], [4, 4, 4], [4, 8], [8], [8], [8], []]
[[8], [8], [4, 4], [8], [6], [4, 4], [4], [4, 4], [8], [8]]
[[], [8], [4], [8], [4, 4], [6], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [6], [], [4, 4], [8], [], [4], [4, 4], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [4], [6], [8], [8], []]
-EndAllocation

Instance: [[1], [73], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8]; Results for m' = 2,...,13. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9, 9, 8], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 5], [4, 4, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8]]
[[], [4, 5, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [8, 8], [4, 4, 8], [5, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4], [8, 8], [5, 8], [4, 4, 4, 4], [8, 8]]
[[8], [5, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8]]
[[8], [8], [5, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], []]
[[8], [4, 4, 4], [], [4, 4, 4], [4, 8], [8], [8], [8], [5]]
[[8], [8], [4, 4], [8], [5], [4, 4], [4], [4, 4], [8], [8]]
[[], [8], [], [8], [8], [4, 4], [4, 4], [4, 5], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [], [4, 4], [8], [5], [], [4, 4], [4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [4], [], [8], [8], [5]]
-EndAllocation

Instance: [[1], [84], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 8], [4, 8, 8, 8], [4, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 8]]
[[8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8]]
[[], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8]]
[[], [4, 8], [8], [], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [], [8], [4], [4, 4], [4, 4], [], [8], [8], [8]]
[[], [8], [8], [8], [], [4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [83], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [7, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 8], [4, 8, 8, 8], [4, 7, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 8]]
[[8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4], [8, 8]]
[[], [8], [4, 4, 4, 4], [7, 8], [4, 4, 4], [8, 8], [8, 8]]
[[8], [7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [7]]
[[7], [4, 8], [8], [], [4, 8], [8], [8], [4, 4, 4], [4], [4, 8]]
[[8], [8], [4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [7]]
[[8], [4], [8], [4, 4], [8], [4, 4], [7], [8], [8], [4, 4], [8], []]
[[7], [8], [8], [4, 4], [], [8], [4], [4, 4], [4, 4], [], [8], [8], [8]]
[[], [8], [8], [8], [], [4], [4, 4], [8], [4, 4], [4, 4], [], [7], [8], [8]]
-EndAllocation

Instance: [[1], [82], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9, 9, 8], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 6, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 6], [4, 8, 8, 8], [4, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [4, 4, 8]]
[[8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4], [6, 8]]
[[], [6], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [8], [4, 8], [8], [6, 8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 6], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[], [4, 8], [8], [], [4, 8], [8], [8], [4, 6], [4, 4, 4], [4, 8]]
[[8], [8], [6], [8], [4, 4], [8], [4], [4, 4], [8], [4, 4], [8]]
[[], [4, 4], [8], [4, 4], [8], [6], [8], [8], [8], [4, 4], [8], [4]]
[[8], [8], [6], [4, 4], [], [8], [4], [4, 4], [4, 4], [], [8], [8], [8]]
[[6], [8], [8], [8], [], [], [4, 4], [4, 4], [4, 4], [4], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [81], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9, 9, 8], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 5, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 5], [4, 8, 8, 8], [4, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 5, 8]]
[[8], [8, 8], [4, 4, 4, 4], [5, 8], [4, 4, 4], [8, 8]]
[[], [5], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [8, 8]]
[[8], [5, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [5], [8], [8], [8], [4, 8], [8]]
[[], [4, 8], [8], [], [4, 8], [8], [5], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [], [8], [4, 4], [8], [4, 5], [4, 4], [8], [4, 4], [8]]
[[], [8], [4, 5], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], []]
[[8], [5], [8], [4, 4], [], [8], [4], [4, 4], [4, 4], [], [8], [8], [8]]
[[], [8], [8], [8], [], [4], [4, 4], [4, 4], [4, 4], [5], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [80], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[3, 3, 3, 3, 3, 7, 7], [3, 8, 8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7]]
[[8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [7, 7, 8]]
[[8, 8], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8]]
[[], [8, 8], [3], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3]]
[[7], [8], [8], [3, 3, 7], [3, 8], [3, 8], [3, 8], [3, 8]]
[[8], [3, 8], [8], [8], [3, 7], [8], [3, 3, 3, 3], [8], [7]]
[[8], [8], [7], [8], [3, 3], [8], [3, 3, 3], [3, 7], [8], [8]]
[[], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [7], [8], [8], [7]]
[[7], [8], [], [8], [8], [8], [3, 3, 3], [8], [], [7], [3, 3, 3], [8]]
[[], [8], [3, 3, 3], [], [], [7], [7], [8], [8], [8], [8], [3, 3, 3], [8]]
[[], [], [3, 3], [8], [3, 3], [8], [3, 3], [8], [8], [8], [], [8], [7], [7]]
-EndAllocation

Instance: [[1], [79], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,14. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9, 9, 8], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,14:
-StartAllocation
[[3, 3, 3, 3, 7, 7], [3, 3, 7, 8, 8, 8, 8, 8]]
[[7, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7]]
[[8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [7, 7, 7]]
[[8], [7, 7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [7, 8], [7, 7], [8, 8]]
[[], [8, 8], [3], [7, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3]]
[[7], [8], [8], [3, 3, 7], [3, 8], [8], [3, 3, 7], [3, 8]]
[[8], [3, 8], [8], [8], [3, 7], [7], [3, 3, 3, 3], [8], [7]]
[[8], [8], [7], [8], [3, 3], [8], [3, 3, 3], [3, 7], [7], [8]]
[[], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [7], [8], [7], [7]]
[[7], [8], [], [8], [8], [7], [3, 3, 3], [8], [], [7], [3, 3, 3], [8]]
[[], [7], [3, 3, 3], [], [], [7], [7], [8], [8], [8], [8], [3, 3, 3], [8]]
[[], [], [3, 3], [8], [3, 3], [8], [3, 3], [7], [8], [8], [], [8], [7], [7]]
-EndAllocation

Instance: [[1], [90], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8]]
[[7, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7]]
[[8], [7, 7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 7, 7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 7, 7], [4, 8, 8], [8, 8]]
[[], [7, 7], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [8, 8], [], [4, 4, 4]]
[[7], [8], [7], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [4, 7], [7], [4, 4, 4], [8], [8], [8]]
[[7], [4, 4, 4], [8], [8], [4, 4, 4], [7], [8], [8], [8], [4], [8]]
[[8], [4, 4], [7], [7], [4, 4], [8], [4], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [7], [8], [8], [4], [8], [7], [8], [4, 4], [4, 4], [], [8]]
[[], [4], [4, 4], [7], [8], [8], [8], [4, 4], [7], [4, 4], [8], [8], [8], []]
[[8], [4, 4], [8], [], [4, 4], [7], [8], [7], [8], [4], [8], [8], [], [4, 4], []]
-EndAllocation

Instance: [[1], [89], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9, 9, 8], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8]]
[[7, 7], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7]]
[[8], [7, 7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [7, 7, 7], [8, 8, 8], [4, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 7, 7], [4, 8, 8], [7, 8]]
[[], [7, 7], [8, 8], [4, 8], [4, 4, 8], [4, 4, 4, 4], [7, 8]]
[[], [4, 4, 4, 4], [8], [7, 7], [7, 8], [8, 8], [8], [4, 4, 4]]
[[7], [4, 7], [7], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4], [4, 7], [7], [4, 8], [8], [7], [8]]
[[7], [4, 4, 4], [7], [8], [4, 4, 4], [7], [8], [8], [8], [4], [8]]
[[7], [4, 4], [7], [7], [4, 4], [8], [4], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [7], [8], [8], [4], [8], [7], [7], [4, 4], [4, 4], [], [8]]
[[], [4], [4, 4], [7], [8], [8], [8], [4, 4], [7], [4, 4], [8], [8], [7], []]
[[8], [4, 4], [8], [], [4, 4], [7], [8], [7], [8], [4], [8], [7], [], [4, 4], []]
-EndAllocation

Instance: [[1], [88], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7, 8]]
[[3, 3], [3, 3, 7, 7, 8], [3, 8, 8, 8], [3, 8, 8, 8]]
[[], [3, 7, 7], [8, 8, 8], [3, 3, 3, 3, 3, 8], [8, 8, 8]]
[[8], [7, 7], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [3, 8], [8, 8], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3]]
[[8], [3, 3, 8], [3, 3, 8], [8], [8], [7, 7], [3, 3, 8], [8]]
[[8], [3, 8], [8], [3, 8], [8], [3, 8], [3, 7], [8], [3, 3, 7]]
[[8], [8], [3, 3, 3, 3], [7], [3, 8], [3, 7], [8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [7], [8], [8], [8], [3, 3, 3], [7], [8]]
[[7], [], [8], [3, 3, 3], [8], [8], [7], [3, 3, 3], [8], [8], [8], [8]]
[[8], [7], [8], [8], [7], [8], [3, 3, 3], [3, 3, 3], [8], [], [], [8], [8]]
[[], [7], [8], [8], [3, 3, 3], [], [], [8], [8], [8], [3, 3, 3], [8], [8], [7]]
[[8], [3, 3], [7], [], [8], [], [8], [3, 3], [8], [3, 3], [8], [8], [], [7], [8]]
-EndAllocation

Instance: [[1], [87], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8]]
[[7, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7]]
[[3], [7, 7, 7, 8], [3, 8, 8, 8], [3, 3, 3, 3, 8, 8]]
[[], [7, 7, 7], [8, 8, 8], [3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[8], [7, 7], [8, 8], [7, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [3, 7], [8, 8], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3]]
[[8], [3, 3, 8], [3, 3, 8], [7], [8], [7, 7], [3, 3, 8], [8]]
[[8], [7], [8], [3, 8], [8], [3, 8], [3, 3, 7], [8], [3, 3, 7]]
[[7], [8], [3, 3, 3, 3], [7], [3, 8], [3, 7], [8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [7], [8], [7], [8], [3, 3, 3], [7], [8]]
[[7], [], [8], [3, 3, 3], [8], [8], [7], [3, 3, 3], [8], [8], [8], [7]]
[[8], [7], [8], [3, 3, 3], [7], [8], [3, 3, 3], [7], [8], [], [], [8], [8]]
[[], [7], [8], [8], [3, 3, 3], [], [], [8], [8], [8], [3, 3, 3], [7], [8], [7]]
[[8], [3, 3], [7], [], [8], [], [7], [3, 3], [8], [3, 3], [8], [8], [], [7], [8]]
-EndAllocation

Instance: [[1], [86], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8]]
[[3], [3, 8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 4, 8, 8]]
[[], [3, 3, 3, 3, 4], [8, 8, 8], [3, 3, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [3, 8], [4, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[8], [3, 3, 8], [4, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8]]
[[8], [3, 8], [8], [3, 8], [8], [4, 8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3], [8], [8], [4, 8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [4], [3, 3, 3], [8], [8]]
[[8], [], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [4]]
[[8], [8], [8], [3, 3], [8], [8], [3, 3, 3], [3, 4], [8], [], [], [8], [8]]
[[], [4], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], []]
[[8], [3, 3], [8], [4], [8], [], [8], [3, 3], [8], [3, 3], [8], [8], [], [], [8]]
-EndAllocation

Instance: [[1], [85], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,15. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[3], [3, 8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 8, 8]]
[[], [3, 3, 8, 8], [3, 8, 8], [3, 3, 8, 8], [3, 3, 8, 8]]
[[], [8, 8], [3, 8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[8], [3, 3, 8], [3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8]]
[[8], [3, 8], [8], [3, 8], [8], [3, 8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [3], [8], [8], [8], [3, 3, 3], [8], [8]]
[[8], [3], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [], [8], [8]]
[[8], [8], [8], [3], [8], [8], [3, 3, 3], [3, 3, 3], [8], [], [], [8], [8]]
[[], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3], [8], [3], []]
[[8], [3, 3], [8], [], [8], [8], [3], [3, 3], [8], [3, 3], [8], [8], [], [], [8]]
-EndAllocation

Instance: [[1], [96], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 6, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 6, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 8], [8, 8, 8], [6, 8, 8], [8, 8, 8]]
[[6, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8]]
[[], [6, 8], [8, 8], [8], [3, 3, 3, 3, 3], [8, 8], [3, 8], [8, 8]]
[[8], [3, 3, 8], [6, 8], [8], [8], [8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [8], [3, 8], [3, 8], [6], [3, 8], [3, 8], [3, 8], [8], [3, 8]]
[[8], [8], [8], [8], [3, 3, 6], [3, 3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [6], [8], [8]]
[[6], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], []]
[[6], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], []]
[[8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [8], [], [8], [8], [], [6]]
[[8], [3, 3], [8], [8], [], [8], [8], [8], [8], [], [8], [8], [], [6], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [95], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 6, 7, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 6, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3], [8, 8, 8], [6, 7, 8], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [6, 7, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [6, 7]]
[[], [6, 7], [8, 8], [8], [3, 3, 3, 3, 3], [8, 8], [3, 8], [8, 8]]
[[8], [8], [6, 8], [3, 3, 8], [3, 3, 7], [8], [8], [8], [3, 3, 8]]
[[8], [8], [3, 8], [3, 8], [6], [3, 8], [8], [3, 3, 7], [8], [3, 8]]
[[8], [8], [8], [8], [3, 3, 6], [3, 3, 3, 3], [8], [8], [8], [7], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [6], [8], [7]]
[[6], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [7], []]
[[6], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [7], [], []]
[[8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [7], [8], [], [8], [8], [], [6]]
[[8], [3, 3], [8], [8], [], [], [8], [8], [8], [], [8], [8], [7], [6], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [94], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 3, 4, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3], [4, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3], [4, 8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [3, 4, 8], [8, 8]]
[[8], [3, 3, 8], [3, 3, 8], [8], [4, 8], [8], [8], [3, 3, 8], [8]]
[[8], [8], [8], [3, 8], [4, 8], [8], [8], [3, 8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [3, 3], [3, 3, 3, 3], [8], [8], [4, 8], [8], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [4], [3, 3, 3], [8], [8], [8]]
[[8], [3, 3, 4], [3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], []]
[[8], [8], [3, 3, 3], [4], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], []]
[[8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [8], [], [4], [8], [8], []]
[[8], [3, 3], [8], [8], [], [], [8], [8], [8], [4], [8], [8], [], [8], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [93], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 3, 3, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 8]]
[[], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [3, 3, 8], [8, 8]]
[[8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [8], [3, 3, 8], [3, 8]]
[[8], [8], [8], [3, 8], [8], [3, 8], [8], [3, 8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [3], [8]]
[[8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3], [8], [8], [8], []]
[[8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [3], []]
[[8], [3], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [8], [], [8], [8], [8], []]
[[8], [3, 3], [8], [8], [], [3], [8], [8], [8], [], [8], [8], [], [8], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [92], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 3, 3, 7, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 7, 8], [3, 3, 8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 8, 8], [8, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [7, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 7]]
[[], [7, 8], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [3, 3, 8], [8, 8]]
[[8], [8], [8], [3, 3, 8], [3, 3, 7], [3, 8], [8], [8], [3, 3, 8]]
[[8], [8], [8], [3, 8], [8], [8], [8], [3, 3, 7], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [7], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [3], [7]]
[[8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3], [8], [8], [7], []]
[[8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [], [8], [7], [3], []]
[[8], [3], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [7], [8], [], [8], [8], [8], []]
[[8], [3, 3], [8], [8], [], [3], [8], [8], [8], [], [8], [8], [7], [], [3, 3], [3, 3]]
-EndAllocation

Instance: [[1], [91], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,16. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9, 9, 9, 8], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,16:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 6, 8], [3, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [6, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[8], [6, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [6, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 6], [8, 8]]
[[], [3, 3, 3, 3, 3], [6, 8], [8, 8], [], [8, 8], [3, 3, 8], [8, 8]]
[[8], [3, 3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [6, 8]]
[[8], [8], [3, 8], [8], [8], [8], [3, 3, 6], [8], [8], [3, 3, 3, 3]]
[[8], [3, 3, 6], [8], [3, 3, 3, 3], [8], [3, 8], [8], [], [8], [8], [8]]
[[8], [8], [8], [3], [3, 3, 3], [6], [3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [6], [3], [3, 3, 3], [3, 3, 3], [8], [8], []]
[[8], [8], [3, 3, 3], [8], [8], [3], [8], [6], [8], [3, 3, 3], [8], [8], [], []]
[[8], [8], [8], [6], [8], [8], [8], [], [8], [], [3, 3, 3], [8], [3, 3, 3], [3], []]
[[], [8], [], [3], [6], [8], [8], [3, 3], [8], [3, 3], [8], [3, 3], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [102], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8]]
[[8], [4, 8, 8, 8], [3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 8, 8], [3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [4, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [3, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [4, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3], [4]]
[[8], [8], [8], [3, 3, 8], [4, 8], [8], [8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [4, 8], [3, 8], [8], [8]]
[[8], [4, 8], [3, 3], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [4], [8], [8], [3, 3, 3]]
[[], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [4], [8]]
[[8], [], [8], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [4], [3, 3, 3], [8]]
[[8], [3, 3, 3], [8], [8], [8], [], [8], [8], [8], [], [8], [], [8], [3, 3, 3], [4], [8]]
[[], [8], [3], [], [8], [8], [8], [8], [3, 3], [3, 3], [3, 4], [8], [8], [8], [8], [8], []]
-EndAllocation

Instance: [[1], [101], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 8], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8]]
[[8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 8, 8], [8, 8]]
[[], [8, 8], [3, 3, 8], [8, 8], [8, 8], [8], [3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3], []]
[[8], [8], [8], [3, 3, 8], [8], [8], [3, 8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [3, 8], [3, 8], [8]]
[[8], [8], [3, 3, 3], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [3], [8], [8], [8], [8], [8], [3, 3, 3]]
[[], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [3], [8], [8], [8]]
[[], [3], [8], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8]]
[[8], [3, 3, 3], [], [8], [8], [], [8], [8], [8], [3], [8], [], [8], [3, 3, 3], [8], [8]]
[[], [8], [3], [], [8], [8], [8], [8], [3, 3], [3, 3], [3, 3], [8], [8], [8], [8], [8], []]
-EndAllocation

Instance: [[1], [100], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9, 9, 8], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8]]
[[8, 8], [3, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 8, 8]]
[[8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 7]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [8, 8, 8], [3, 7, 8, 8]]
[[8], [3, 3, 3, 3, 3, 7], [8, 8], [8, 8], [8, 8], [3, 3, 8, 8]]
[[], [8, 8], [3, 8, 8], [8, 8], [7, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [7, 8], [8, 8], [8, 8], [8, 8], [3, 3], [3, 3, 3, 3, 3], [8, 8]]
[[], [7, 8], [8, 8], [8, 8], [8, 8], [], [3, 3], [8, 8], [3, 3, 3, 3, 3]]
[[8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [3, 8], [3, 8], [3, 3, 7]]
[[8], [8], [8], [3, 3, 3, 3], [3, 8], [8], [8], [3, 3, 7], [8], [8], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [7], [8], [8]]
[[], [8], [3, 3, 3], [8], [3, 7], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3], [8], [7], [3, 3, 3], [], [8], [8], [8]]
[[], [3, 3, 3], [8], [8], [8], [8], [], [3, 3, 3], [8], [3], [8], [8], [8], [8], [7]]
[[], [8], [], [8], [7], [8], [8], [3, 3, 3], [8], [8], [], [8], [3], [8], [3, 3, 3], [8]]
[[8], [], [8], [3, 3], [8], [8], [8], [3, 3], [8], [3, 3], [7], [], [8], [3], [8], [8], []]
-EndAllocation

Instance: [[1], [99], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 7, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8], [4, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 7]]
[[], [4, 4, 4, 7], [4, 8, 8], [4, 8, 8], [4, 4, 4, 8], [4, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8]]
[[], [8, 8], [8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 7]]
[[8], [4, 4, 4], [4, 8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 7]]
[[8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8]]
[[7], [8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[7], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4], [8], [4, 4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4], [7], [8], [4, 4], []]
[[8], [4], [4, 4], [8], [8], [4, 4], [8], [7], [8], [], [4, 4], [8], [8], [], [4, 4]]
[[8], [], [4, 4], [4, 4], [8], [8], [], [7], [4], [4, 4], [8], [8], [8], [], [4, 4], [8]]
[[8], [], [4, 4], [4], [8], [], [8], [], [4, 4], [7], [], [4, 4], [8], [4, 4], [8], [8], [8]]
-EndAllocation

Instance: [[1], [98], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 5, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [5, 8, 8, 8]]
[[8], [8, 8, 8], [8, 8, 8], [5, 8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [5, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 8], [5, 8]]
[[], [8, 8], [3, 3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [5]]
[[8], [3, 3, 8], [5, 8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 8], [8]]
[[8], [8], [5, 8], [3, 8], [8], [3, 8], [3, 8], [3, 3, 3, 3], [8], [8]]
[[8], [3, 8], [3, 3, 5], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [5], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [5], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3], [8]]
[[8], [], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3], [8], [5], [8], [8]]
[[8], [3, 3, 3], [3, 5], [], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [], [8], [8]]
[[8], [8], [8], [8], [8], [5], [8], [8], [], [3], [], [8], [3, 3, 3], [8], [], [3, 3, 3]]
[[8], [8], [8], [], [8], [3, 3], [8], [8], [], [3, 3], [5], [8], [3], [8], [], [3, 3], [8]]
-EndAllocation

Instance: [[1], [97], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,17. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9, 9, 9, 8], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,17:
-StartAllocation
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 4, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 8], [4, 8, 8, 8], [8, 8, 8, 8]]
[[8], [8, 8, 8], [8, 8, 8], [4, 8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 4], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8]]
[[], [8, 8], [3, 3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [4]]
[[8], [3, 3, 8], [4, 8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 8], [8]]
[[8], [8], [4, 8], [3, 8], [8], [3, 8], [3, 8], [3, 3, 3, 3], [8], [8]]
[[8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [4, 8], [3, 3, 3, 3]]
[[8], [8], [8], [3, 3, 4], [3, 3, 3, 3], [8], [8], [8], [], [8], [8], [3, 8]]
[[8], [8], [8], [8], [4], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3], [8]]
[[8], [], [8], [3, 3, 3], [8], [4], [8], [3, 3, 3], [8], [3], [8], [8], [8], [8]]
[[8], [3, 3, 3], [8], [3, 3, 3], [], [], [8], [8], [8], [8], [8], [3, 4], [], [8], [8]]
[[8], [8], [8], [], [8], [8], [8], [8], [], [3], [4], [8], [3, 3, 3], [8], [], [3, 3, 3]]
[[], [8], [8], [], [8], [3, 3], [8], [8], [], [3, 3], [8], [8], [3, 3], [8], [], [3, 4], [8]]
-EndAllocation

Instance: [[1], [108], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4], [8], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [4, 4], [8]]
[[8], [4, 4], [], [4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], []]
[[], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4], [], [4, 4]]
[[], [8], [4, 4], [], [8], [8], [8], [4], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [107], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [7, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 7], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8]]
[[], [4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 7]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 7], [4, 8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 7]]
[[7], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [7], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [8], [4], [8], [8], [8]]
[[], [7], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [4, 4], [8]]
[[8], [4, 4], [7], [4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], []]
[[], [], [8], [4, 4], [7], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4], [], [4, 4]]
[[], [8], [4, 4], [], [8], [8], [8], [4], [4, 4], [], [8], [8], [7], [8], [4, 4], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [106], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8]]
[[8, 8], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[8], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [7, 7, 8], [8, 8, 8]]
[[], [4, 4, 7, 7], [4, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 7]]
[[], [4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 7, 7]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [7, 7], [4, 8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [4, 8], [8], [8], [4, 8], [4, 7]]
[[7], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [7], [4, 4, 4], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [7], [4], [8], [8], [8]]
[[], [7], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [7], [4]]
[[8], [4, 4], [7], [4], [8], [8], [8], [8], [], [7], [4, 4], [4, 4], [4, 4], [8], [8], []]
[[], [], [8], [4, 4], [7], [8], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4], [], [4, 4]]
[[7], [8], [4, 4], [], [8], [8], [8], [4], [4, 4], [], [8], [8], [7], [], [4, 4], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [105], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10, 9, 9, 9, 8], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[7, 7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[7, 7, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 8], [8, 8, 8, 8]]
[[], [7, 7, 7], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 7]]
[[8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 7]]
[[], [4, 4, 4, 4], [7, 7], [8, 8], [4, 7], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [7, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 8], [8, 8], [7, 7]]
[[8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 7], [7, 7], [8]]
[[8], [4, 7], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [7], [8], [8], [8], [7]]
[[8], [7], [7], [7], [8], [4, 8], [4, 4, 4], [], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4], [8], [8], [4, 7], [], [7], [8], [8], [4, 4, 4], [8], [7]]
[[8], [7], [4, 4], [8], [7], [8], [7], [8], [4, 4], [4], [8], [4, 4], [4, 4], [8]]
[[8], [7], [8], [7], [4, 4], [7], [4, 4], [8], [], [4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [], [4], [7], [7], [], [4, 4], [8], [8], [8], [7], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [], [8], [4, 4], [], [8], [4, 4], [8], [7], [4, 4], [7], [4, 4], [4], [8], [], [7]]
[[8], [4, 4], [8], [], [], [7], [4], [], [8], [8], [4, 4], [], [7], [7], [4, 4], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [104], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8]]
[[8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8], [8, 8], [8, 8], [3, 3, 3, 8], [3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], []]
[[8], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8]]
[[8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [3, 8], [3, 8], [8], [8], [3, 8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [3, 3], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], [8], [8], [3, 3], [8]]
[[8], [], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3], [8], [3, 3, 3], [8], [8], []]
[[8], [8], [], [8], [], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [3, 3], [8], []]
[[8], [8], [8], [8], [3, 3, 3], [8], [], [], [3, 3, 3], [8], [8], [8], [8], [], [8], [3, 3], []]
[[], [], [3, 3], [8], [8], [8], [8], [3, 3], [], [8], [], [3, 3], [8], [8], [8], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [103], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,18. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,18:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 8, 8], [3, 3, 7, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 7]]
[[8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [7, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [7, 8, 8], [8], [8, 8, 8]]
[[8], [7, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [7], [8, 8], [8, 8], [3, 3, 3, 8], [3, 3, 3, 3, 3]]
[[], [8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 7], [8, 8], [8, 8], []]
[[8], [7], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8]]
[[8], [3, 3, 3, 3], [8], [3, 8], [8], [7], [3, 8], [3, 8], [8], [8], [3, 8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [7], [8]]
[[3], [8], [8], [3, 3, 3], [3, 7], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [3, 3, 3], [3, 3, 3], [7], [8], [8], [8], [8], [], [8], [8], [8], [3, 3], [8]]
[[8], [], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3], [3, 3, 3], [8], [7], [8], [8], []]
[[8], [8], [], [8], [], [3, 3, 3], [8], [8], [8], [], [8], [8], [3, 3, 3], [3, 3], [8], [7]]
[[8], [8], [8], [8], [3, 3, 3], [7], [], [], [3, 3, 3], [8], [8], [8], [8], [], [8], [3, 3], []]
[[], [], [3, 3], [7], [8], [8], [8], [3, 3], [], [8], [], [3, 3], [8], [8], [8], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [114], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8]]
[[4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 6, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [6, 8, 8, 8], [8, 8, 8], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 8], [8, 8, 8], [6, 8, 8]]
[[], [4, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8], [6, 8], [8, 8], [4, 4, 4, 4], [4, 8]]
[[], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4]]
[[8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [6, 8]]
[[8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8], [4, 6], [4, 4, 4]]
[[8], [4, 6], [8], [4, 4, 4], [8], [8], [], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [], [4, 6], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 6], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[6], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4], [8], [8]]
[[6], [8], [], [8], [4, 4], [4], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [], [4, 4], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [8], [4, 4], [4], [4, 4], [6], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4], [], [6], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [113], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 8], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8]]
[[4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 6, 7, 8, 8]]
[[8], [6, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[8], [6, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 7], [8, 8, 8], [6, 8, 8]]
[[], [4, 8, 8], [6, 8, 8], [4, 4, 4, 7], [4, 8, 8], [4, 8, 8], [4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [7, 8], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8], [6, 8], [7, 8], [4, 4, 4, 4], [4, 8]]
[[], [8, 8], [8, 8], [6, 8], [4, 4, 7], [8, 8], [], [4, 4, 4, 4], [4, 4, 8], [4]]
[[8], [8], [4, 8], [7], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [6, 8]]
[[8], [6, 7], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8], [4], [4, 4, 4]]
[[8], [4, 6], [8], [4, 4, 4], [8], [8], [], [8], [4, 8], [7], [4, 8], [8], [4, 4, 4]]
[[8], [7], [], [4, 6], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 6], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [7], [8], [4, 4], [4, 4]]
[[6], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [4], [8], [8], [8], [7], [4, 4], [8], [8]]
[[6], [4], [], [8], [7], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [], [4, 4], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [7], [4, 4], [4], [4, 4], [6], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4], [], [6], [], [7], [4, 4]]
-EndAllocation

Instance: [[1], [112], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8]]
[[2, 2, 8], [2, 8, 8, 8, 8, 8, 8], [2, 2, 2, 6, 6, 8, 8, 8, 8]]
[[8, 8], [2, 2, 2, 2, 2, 2, 6, 6, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [2, 2, 2, 2, 2, 2, 6, 6]]
[[], [8, 8, 8], [8, 8, 8], [8, 8], [2, 2, 2, 2, 2, 2, 6, 6], [8, 8, 8]]
[[8], [6, 6, 8], [8, 8], [8, 8], [2, 2, 2, 2, 2, 2, 8], [8, 8], [8, 8]]
[[8], [6, 6], [8, 8], [8, 8], [8, 8], [2, 2, 2, 2, 2, 2], [8, 8], [8, 8]]
[[], [6, 6], [8], [2, 2, 2, 2, 2, 2], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [], [8], [6, 6], [2, 2, 2, 2, 2, 2], [8, 8]]
[[8], [2, 2, 2, 8], [8], [8], [6, 8], [8], [2, 2, 2, 8], [6, 8], [8], [8], [8]]
[[8], [8], [2, 2, 8], [6, 6], [8], [8], [8], [8], [8], [2, 2, 8], [2, 2, 8], [8]]
[[8], [2, 2, 2, 2, 2, 2], [8], [8], [8], [8], [6, 6], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [2, 6], [8], [6], [8], [8], [8], [2, 2, 2, 2, 2], [8]]
[[8], [8], [2, 2, 2, 2, 2], [8], [8], [8], [8], [], [6], [8], [2, 8], [6], [8], [8], [8]]
[[8], [8], [6], [8], [8], [8], [8], [8], [], [8], [2, 2], [8], [8], [6], [8], [2, 2, 2, 2]]
[[8], [8], [6], [8], [8], [8], [8], [8], [2, 2], [8], [], [], [8], [8], [6], [8], [2, 2, 2, 2]]
[[8], [8], [8], [6], [6], [2, 2], [8], [], [8], [8], [2, 2, 2, 2], [8], [8], [], [8], [8], [], [8]]
[[], [8], [8], [], [6], [8], [8], [8], [2, 2], [], [8], [8], [6], [], [2, 2, 2, 2], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [111], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 6, 6, 7, 8, 8, 8, 8, 8]]
[[2, 2, 2, 8], [8, 8, 8, 8, 8, 8], [2, 2, 2, 6, 6, 7, 8, 8, 8]]
[[8, 8], [2, 2, 2, 2, 2, 2, 6, 6, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8, 8], [7, 8, 8], [8, 8, 8], [8, 8, 8], [2, 2, 2, 2, 2, 2, 6, 6]]
[[], [8, 8, 8], [8, 8, 8], [8, 8], [2, 2, 2, 2, 2, 2, 6, 6], [7, 8, 8]]
[[8], [6, 6, 8], [8, 8], [8, 8], [2, 2, 2, 2, 2, 2, 8], [7, 8], [8, 8]]
[[8], [6, 6], [8, 8], [8, 8], [8, 8], [2, 2, 2, 2, 2, 2], [8, 8], [7, 8]]
[[], [6, 6], [8], [2, 2, 2, 2, 2, 2], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [7], [], [6, 6], [2, 2, 2, 2, 2, 2], [8, 8]]
[[8], [8], [8], [7], [8], [2, 2, 2, 8], [6, 8], [6, 8], [8], [8], [2, 2, 2, 8]]
[[8], [8], [2, 8], [6, 6], [8], [8], [8], [8], [8], [2, 2, 8], [2, 2, 2, 7], [8]]
[[8], [2, 2, 2, 2, 2, 2], [8], [8], [8], [8], [6, 6], [7], [8], [8], [8], [8], [8]]
[[8], [7], [8], [8], [8], [8], [2, 6], [8], [6], [8], [8], [8], [2, 2, 2, 2, 2], [8]]
[[8], [8], [2, 2, 2, 2, 2], [8], [6], [8], [8], [], [7], [8], [2, 8], [6], [8], [8], [8]]
[[7], [8], [6], [8], [8], [8], [8], [8], [], [8], [2, 2], [8], [8], [6], [8], [2, 2, 2, 2]]
[[8], [8], [6], [8], [8], [8], [8], [7], [2, 2], [8], [], [], [8], [8], [6], [8], [2, 2, 2, 2]]
[[8], [8], [8], [6], [6], [2, 2], [7], [], [8], [8], [2, 2, 2, 2], [8], [8], [], [8], [8], [], [8]]
[[], [8], [8], [], [6], [8], [7], [8], [2, 2], [], [8], [8], [6], [], [2, 2, 2, 2], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [110], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[6, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8]]
[[4], [4, 4, 4, 4, 4, 4, 4, 8], [4, 6, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 6, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 6], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [8, 8]]
[[], [4, 6, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6], [8, 8], [], [8, 8]]
[[8], [8], [4, 8], [6, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 6], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [8], [8], [6], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [], [4, 4, 4], [4, 4, 4], [4, 8]]
[[6], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6]]
[[], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [6]]
[[8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [6], [], [4, 4], [], [8], [4, 4], [8]]
[[], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [6], [8], [4, 4], [8], [], [8], [4, 4], [8]]
[[8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [6], [8], [4, 4], [8], [], [4, 4], [], []]
-EndAllocation

Instance: [[1], [109], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,19. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8]]
[[6, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8]]
[[4], [4, 4, 4, 4, 4, 4, 4, 7], [4, 6, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 6, 7, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [6, 7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [7, 8]]
[[], [4, 6, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8], [8, 8]]
[[], [4, 4, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6], [4, 4, 8], [], [8, 8]]
[[8], [8], [4, 8], [6, 8], [4, 8], [4, 8], [4, 4, 4], [4, 7], [8], [4, 4, 4]]
[[8], [8], [4, 6], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [7], [8]]
[[7], [4, 4, 4], [4, 8], [8], [8], [8], [6], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [], [4, 4, 4], [4, 4, 4], [4, 8]]
[[7], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [6], [8]]
[[], [7], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6]]
[[], [4, 4], [4, 4], [8], [], [8], [7], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [6]]
[[8], [4, 4], [4, 4], [], [8], [4, 4], [8], [7], [8], [8], [6], [], [4, 4], [], [8], [4, 4], [8]]
[[], [4, 4], [8], [7], [], [4, 4], [4, 4], [8], [], [8], [6], [8], [4, 4], [8], [], [8], [4, 4], [8]]
[[8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [7], [6], [8], [4, 4], [8], [], [4, 4], [], []]
-EndAllocation

Instance: [[1], [120], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 8], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [6, 6, 7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8], [6, 6, 7, 8, 8]]
[[], [6, 6, 7, 8], [3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[6], [7, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3], [6, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3], [7], [8, 8, 8], [8, 8, 8], [6, 6, 8]]
[[], [6, 6, 8], [3, 7, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8], [8, 8], [8, 8], [7, 8], [6, 8], [3, 6, 8], [8, 8]]
[[], [3, 3, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6, 6], [3, 3, 3, 3, 3], [], [7, 8]]
[[8], [3, 3, 7], [8], [8], [3, 3, 8], [6, 8], [3, 3, 8], [3, 8], [8], [8], [6, 8]]
[[8], [8], [3, 8], [8], [8], [3, 3, 6], [6, 7], [3, 8], [8], [3, 8], [3, 8], [3, 8]]
[[8], [8], [6, 6], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 8], [3, 3, 7], [8]]
[[8], [3, 8], [7], [8], [8], [8], [3, 6], [6], [3, 3, 3, 3], [3, 8], [8], [8], [8], [8]]
[[8], [8], [3, 3, 3], [7], [8], [3, 6], [8], [6], [8], [8], [8], [3, 3, 3], [8], [8], [8]]
[[8], [8], [7], [8], [8], [8], [6], [8], [3, 3, 3], [8], [8], [6], [8], [3], [8], [3, 3, 3]]
[[8], [8], [8], [8], [], [6], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [3], [7], [8], [6]]
[[8], [8], [6], [3, 3, 3], [8], [8], [8], [], [8], [7], [], [3], [8], [3, 3, 3], [8], [8], [8], [6]]
[[], [8], [8], [8], [], [3, 3, 3], [8], [7], [3, 3, 3], [8], [], [8], [8], [3], [6], [6], [8], [8], [8]]
[[8], [8], [8], [], [3], [6], [8], [3, 3], [8], [3, 3], [8], [], [7], [8], [], [3, 3], [8], [8], [6], [8]]
-EndAllocation

Instance: [[1], [119], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8], [2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6]]
[[3, 3, 3, 7, 7, 8], [2, 2, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 6, 6, 6, 6, 6], [6], [2, 2, 7, 7, 8, 8], [8, 8, 8, 8, 8]]
[[3, 3, 3, 6, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8, 8], [], [2, 2, 7, 7, 8]]
[[2, 2, 6, 6, 6], [6, 6, 6, 8], [8, 8], [8, 8], [7, 7], [3, 3, 3, 8, 8]]
[[2, 2, 3, 6, 6], [3, 3, 8, 8], [6], [8, 8], [6, 6, 6], [7, 7, 8], [8, 8]]
[[2, 2, 7, 8], [6, 6, 6], [6, 6, 6], [3, 3, 3, 7], [], [8, 8], [8, 8], [8, 8]]
[[2, 2], [6, 6, 6], [6, 6, 6], [8, 8], [], [7, 7], [8, 8], [8, 8], [3, 3, 3, 8]]
[[2, 2, 3, 8], [3, 6, 6], [3, 6, 6], [], [6, 6], [], [8, 8], [8, 8], [8, 8], [7, 7]]
[[2, 6, 6], [2, 6, 6], [3, 3, 6], [7, 7], [6, 8], [8], [8], [8], [8], [8], [3, 8]]
[[3, 6], [6, 6], [2, 2, 8], [6, 6], [8], [3, 8], [3, 7], [6, 7], [8], [8], [8], [8]]
[[6, 6], [6, 6], [6, 6], [2, 2, 3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [7], [8]]
[[2, 2, 8], [3, 3, 3], [6, 6], [6, 6], [8], [6, 6], [7], [8], [8], [], [7], [8], [8], [8]]
[[3, 6], [2, 2, 6], [3, 7], [8], [6], [6], [8], [6], [8], [8], [6], [8], [8], [8], [3, 7]]
[[2, 7], [3, 3, 3], [6], [6], [6], [6], [8], [8], [6], [6], [8], [8], [8], [8], [7], [2, 8]]
[[2, 6], [3, 3, 3], [6], [8], [8], [6], [6], [6], [6], [], [8], [8], [8], [8], [7], [8], [2, 7]]
[[2, 2, 3], [3, 3], [8], [6], [6], [6], [6], [6], [6], [], [8], [8], [8], [8], [7], [8], [7], [8]]
[[2, 2, 3], [3, 6], [8], [], [8], [6], [6], [6], [6], [6], [], [7], [8], [7], [8], [8], [8], [8], [3]]
[[2, 2, 3], [6], [6], [6], [3, 3], [8], [6], [6], [], [6], [8], [7], [], [8], [8], [8], [], [7], [8], [8]]
-EndAllocation

Instance: [[1], [118], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9, 9, 9, 8], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 7, 7, 8], [3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8], [7, 7, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8]]
[[], [7, 7, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 7, 7], [8, 8, 8], [3, 3, 3, 3, 8], [8, 8, 8], [8, 8, 8]]
[[8], [7, 7, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 8, 8], [8, 8], [8, 8]]
[[8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 7], [3, 3, 8], [8, 8], [8, 8]]
[[], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 3]]
[[], [8, 8], [3, 3, 3], [7, 7], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], []]
[[8], [3, 3, 8], [8], [8], [8], [7, 7], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8]]
[[8], [3, 8], [3, 8], [8], [3, 3, 7], [3, 8], [3, 3, 7], [8], [8], [8], [8], [3, 8]]
[[8], [8], [8], [3, 7], [8], [8], [8], [3, 3, 7], [8], [3, 8], [8], [3, 3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [8], [7], [8], [7], [8], [8]]
[[8], [8], [3, 3, 3], [8], [3, 3], [7], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [7]]
[[], [8], [7], [7], [8], [8], [8], [8], [8], [8], [3, 3], [3, 3, 3], [8], [8], [3, 3, 3], [8]]
[[8], [8], [], [8], [8], [7], [8], [8], [8], [3, 3, 3], [3, 3, 3], [3, 3], [], [8], [8], [8], [7]]
[[8], [8], [7], [], [], [8], [3, 3, 3], [8], [7], [8], [3, 3], [8], [8], [8], [], [3, 3, 3], [8], [8]]
[[7], [8], [], [8], [], [], [8], [3, 3], [8], [8], [7], [8], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8]]
[[], [8], [8], [7], [], [], [8], [8], [8], [8], [3, 3], [3, 3], [8], [3, 3], [3, 3], [7], [8], [8], [], [8]]
-EndAllocation

Instance: [[1], [117], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 7, 7, 7], [3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8], [7, 7, 7, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 8, 8]]
[[], [7, 7, 7, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 7, 7, 7], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[8], [7, 7, 7], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 8, 8], [8, 8], [8, 8]]
[[8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 7], [3, 3, 7], [8, 8], [8, 8]]
[[], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8], [8, 8], [3, 3, 3, 7]]
[[], [8, 8], [3, 3, 3], [7, 7], [8, 8], [7, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], []]
[[8], [3, 3, 8], [7], [8], [8], [7, 7], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8]]
[[8], [3, 8], [3, 8], [3, 8], [3, 3, 7], [8], [3, 3, 7], [8], [8], [7], [8], [3, 8]]
[[8], [8], [3, 3, 3, 3], [3, 7], [8], [8], [8], [3, 7], [8], [3, 8], [8], [3, 7], [8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [8], [7], [7], [7], [8], [8]]
[[7], [8], [3, 3, 3], [8], [3, 3], [7], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [7]]
[[], [8], [7], [7], [8], [8], [8], [8], [8], [8], [3, 3], [3, 3, 3], [8], [8], [3, 3, 3], [7]]
[[8], [8], [], [7], [8], [7], [8], [8], [8], [3, 3, 3], [3, 3, 3], [3, 3], [], [8], [8], [8], [7]]
[[7], [8], [7], [], [], [8], [3, 3, 3], [8], [7], [8], [3, 3], [8], [8], [8], [], [3, 3, 3], [8], [8]]
[[7], [8], [7], [8], [], [], [8], [3, 3], [8], [8], [7], [8], [], [8], [], [3, 3, 3], [8], [3, 3, 3], [8]]
[[], [8], [8], [7], [], [], [8], [8], [8], [8], [3, 3], [3, 3], [7], [3, 3], [3, 3], [7], [8], [8], [], [8]]
-EndAllocation

Instance: [[1], [116], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8]]
[[8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 8, 8], [4, 8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [8, 8], [3, 3, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [4, 8], [8, 8], [3, 3, 3]]
[[], [8, 8], [3, 3, 3], [8, 8], [8, 8], [8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [4]]
[[8], [3, 3, 8], [8], [8], [8], [4, 8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8]]
[[8], [4, 8], [8], [8], [8], [3, 8], [3, 8], [3, 3, 3, 3], [8], [3, 8], [8], [3, 8]]
[[8], [8], [8], [4, 8], [8], [8], [8], [3, 3, 3], [8], [3, 8], [8], [3, 3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [8], [], [4, 8], [8], [8], [8]]
[[8], [8], [3, 3, 4], [8], [3, 3, 3], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8]]
[[], [8], [4], [8], [8], [8], [8], [8], [8], [8], [3, 3], [3, 3, 3], [8], [8], [3, 3, 3], [8]]
[[8], [4], [], [8], [8], [], [8], [8], [8], [3, 3, 3], [3, 3, 3], [3, 3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [], [], [8], [3, 3, 3], [8], [8], [8], [3, 3], [8], [8], [4], [], [3, 3, 3], [8], [8]]
[[], [8], [], [8], [8], [], [8], [3, 3], [4], [8], [8], [8], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8]]
[[], [8], [8], [8], [4], [], [8], [8], [], [8], [3, 3], [3, 3], [8], [3, 3], [3, 3], [8], [8], [8], [], [8]]
-EndAllocation

Instance: [[1], [115], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,20. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 4, 4, 6, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7]]
[[2, 6, 7, 7], [4, 4, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[2, 5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 7, 8], [4, 4], [6, 8, 8, 8, 8]]
[[2, 5, 5, 5], [8, 8], [4, 4, 7, 7], [6, 8, 8, 8], [5, 5, 5, 5, 5, 5]]
[[2, 5, 5, 5, 5], [5, 5, 5, 5, 5], [4, 4, 8, 8], [], [8, 8, 8], [6, 7, 7]]
[[2, 5], [5, 5, 5, 5], [5, 5, 5, 5], [6, 8, 8], [7, 7], [8, 8], [4, 4, 8]]
[[2, 5, 5, 5], [4, 4, 5, 5], [6, 8], [8, 8], [5, 5, 5, 5], [7, 7], [], [8, 8]]
[[2, 5, 5, 5], [], [5, 5, 5], [4, 4], [7, 7], [8, 8], [8, 8], [6, 8], [5, 5, 5]]
[[2, 5, 5], [4, 4, 5], [5, 5, 5], [5, 5, 5], [6, 8], [], [], [8, 8], [7, 7], [8, 8]]
[[2, 4, 4], [5, 5], [5, 5], [5, 5], [5, 5], [5, 8], [6, 8], [7, 7], [8], [8], [8]]
[[2, 8], [5, 5], [5, 5], [5, 8], [5, 5], [5, 5], [6, 7], [4, 4], [8], [8], [7], [8]]
[[2, 8], [8], [5, 5], [5, 5], [5, 5], [5, 5], [4, 4], [8], [8], [8], [7], [7], [5, 6]]
[[2, 5, 5], [5, 5], [5, 7], [8], [5, 5], [4, 4], [8], [8], [8], [], [8], [5, 5], [7], [6]]
[[2, 6], [5, 5], [5, 5], [5, 5], [5], [5, 5], [8], [7], [8], [], [7], [8], [8], [8], [4, 4]]
[[2, 8], [5, 5], [], [5, 5], [5, 5], [5, 5], [8], [7], [7], [5], [6], [8], [], [8], [4, 4], [8]]
[[2, 5], [8], [5], [5], [8], [5], [5], [5], [8], [8], [7], [5], [6], [8], [4, 5], [7], [4, 5]]
[[8], [5], [7], [8], [5], [8], [5], [5], [4, 4], [5], [5], [5], [5], [8], [7], [6], [8], [2, 5]]
[[8], [8], [8], [5], [4, 4], [5], [5], [5], [6], [5], [5], [5], [5], [], [8], [5], [8], [7], [2, 7]]
[[7], [4, 4], [5], [5], [5], [5], [5], [5], [5], [8], [], [5], [5], [7], [], [8], [8], [8], [8], [2, 6]]
-EndAllocation

Instance: [[1], [126], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 6, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [6, 8, 8, 8], [8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8]]
[[8], [8, 8], [8, 8], [3, 8, 8], [6, 8], [3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 6]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 8], [8, 8], [], [6, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [6], [8, 8], [], [8, 8], [3, 3, 3], [3, 3, 3, 3, 3]]
[[8], [8], [8], [8], [6, 8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8]]
[[8], [8], [3, 8], [8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [3, 3, 6], [8], [8], [3, 8]]
[[8], [8], [3, 8], [3, 3, 3, 3], [3, 8], [8], [8], [8], [8], [8], [3, 3, 6], [8], [8], [8]]
[[8], [3, 3, 3], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [6], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [8], [8], [6]]
[[6], [], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [3, 3, 3], [8]]
[[8], [3, 3], [8], [], [8], [8], [8], [], [8], [8], [3, 3, 3], [3, 3, 3], [6], [8], [8], [8], [8], [8]]
[[8], [8], [], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [], [8], [3, 3], [6], [8], [8], [8]]
[[], [8], [8], [], [], [8], [8], [8], [3, 3, 3], [6], [8], [3, 3], [8], [8], [], [8], [8], [8], [3, 3, 3], [8]]
[[6], [], [3, 3], [8], [8], [3, 3], [3, 3], [8], [8], [8], [8], [3, 3], [8], [8], [], [8], [], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [125], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 5, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 5, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [5, 8, 8, 8], [8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [5, 8, 8]]
[[], [5, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8]]
[[], [8, 8], [8, 8], [3, 8, 8], [8, 8], [5, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [5, 8], [8, 8], [8, 8], [3, 3, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 8], [8, 8], [5], [8, 8], [8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [5], [8, 8], [], [8, 8], [3, 3, 3], [3, 3, 3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [5, 8]]
[[8], [5, 8], [3, 8], [8], [8], [8], [3, 8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [3, 8]]
[[8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [8], [8], [8], [5], [3, 3, 3, 3], [8], [8], [8]]
[[8], [3, 3, 3], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [5], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [5], [8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [8], [8], [8]]
[[8], [3], [8], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [3, 5], [8], [3, 3, 3], [8]]
[[8], [3, 3], [8], [], [8], [8], [8], [], [8], [5], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [8], [], [3, 3, 3], [], [8], [8], [8], [8], [8], [5], [3, 3, 3], [], [8], [3, 3], [8], [8], [8], [8]]
[[], [8], [8], [], [], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [8], [], [8], [8], [8], [3, 3, 3], [5]]
[[], [], [3, 3], [8], [8], [3, 3], [3, 3], [8], [8], [8], [5], [3, 3], [8], [8], [8], [8], [], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [124], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [4, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [4]]
[[], [8, 8], [8, 8], [4, 8, 8], [8, 8], [3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8], [8, 8], [3, 3, 4, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 8], [8, 8], [4], [8, 8], [8]]
[[], [8, 8], [4, 8], [8, 8], [8, 8], [], [8, 8], [8], [8, 8], [3, 3, 3], [3, 3, 3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [4, 8]]
[[8], [8], [3, 8], [8], [3, 8], [8], [3, 8], [3, 8], [8], [3, 3, 3, 4], [8], [8], [3, 8]]
[[8], [8], [4, 8], [3, 3, 3], [3, 8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8]]
[[8], [3, 3, 3], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [4, 8], [8], [8], [], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [], [8], [3, 3, 4], [8], [8], [8], [8]]
[[8], [], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [4], [8], [3, 3], [8], [3, 3, 3], [8]]
[[8], [3, 3], [8], [], [8], [8], [8], [], [8], [8], [3, 3, 3], [3, 3, 3], [4], [8], [8], [8], [8], [8]]
[[8], [8], [], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [4], [8], [3, 3], [8], [8], [], [8]]
[[], [8], [8], [], [], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [8], [], [4], [8], [8], [3, 3, 3], [8]]
[[], [], [3, 3], [8], [8], [3, 3], [3, 3], [8], [8], [8], [8], [3, 3], [4], [8], [8], [8], [], [], [8], [8], [8]]
-EndAllocation

Instance: [[1], [123], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 5, 6, 6, 7, 7], [2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [2, 2, 2, 2, 2, 2, 5, 7, 7, 8, 8], [6, 6, 8, 8, 8, 8, 8]]
[[8], [6, 7, 7, 8, 8], [8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 5, 6, 8, 8]]
[[], [2, 2, 2, 2, 2, 2, 7, 7], [8, 8, 8, 8], [5, 6, 6, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 7, 7, 8], [6, 8, 8], [8, 8, 8], [2, 2, 2, 2, 2, 2, 5, 8]]
[[], [5, 8, 8], [2, 6, 7, 7], [2, 2, 2, 2, 2, 8], [8, 8, 8], [8, 8, 8], [6, 8]]
[[], [6, 7, 8], [8, 8], [8, 8], [6, 7, 8], [5, 8, 8], [8], [2, 2, 2, 2, 2, 2, 8]]
[[8], [8, 8], [8, 8], [6, 6], [8, 8], [5, 8], [7, 7], [8, 8], [2, 2, 2, 2, 2, 2]]
[[], [8, 8], [8, 8], [8, 8], [6, 6], [8, 8], [8, 8], [5], [2, 2, 2, 2, 2, 2], [7, 7]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [5, 7], [8, 8], [], [8], [2, 2, 2, 2, 2, 2], [6, 6]]
[[8], [8], [6, 8], [8], [7, 7], [8], [8], [6, 8], [2, 2, 2, 2, 2, 2], [8], [8], [5, 8]]
[[6, 7], [5, 8], [8], [8], [8], [8], [8], [8], [8], [2, 2, 2, 2, 2, 2], [8], [8], [6, 7]]
[[8], [8], [8], [2, 2, 2, 2, 2, 2], [7], [8], [8], [8], [8], [5, 7], [6, 6], [8], [8], [8]]
[[8], [8], [7], [8], [8], [8], [8], [5, 7], [8], [8], [8], [6], [2, 2, 2, 2, 2, 2], [8], [6]]
[[8], [7], [8], [5], [6], [8], [2, 2, 2, 2, 2], [7], [8], [8], [8], [8], [2, 8], [8], [8], [6]]
[[6], [], [8], [2, 2, 2, 2, 2], [7], [8], [8], [2, 8], [6], [8], [8], [8], [8], [5], [8], [8], [7]]
[[8], [6], [8], [], [6], [2, 2, 2, 2], [7], [8], [2, 2], [5], [8], [8], [7], [8], [8], [8], [8], [8]]
[[8], [8], [2, 2, 2, 2], [8], [8], [8], [8], [7], [6], [7], [5], [8], [], [2, 2], [], [6], [8], [8], [8]]
[[], [8], [8], [8], [], [8], [8], [8], [7], [6], [2, 2], [7], [2, 2, 2, 2], [8], [6], [8], [8], [8], [], [5]]
[[6], [6], [], [8], [8], [8], [2, 2], [8], [8], [8], [5], [], [8], [7], [8], [2, 2, 2, 2], [], [], [8], [7], [8]]
-EndAllocation

Instance: [[1], [122], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 2, 2, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[2, 2, 2, 2, 2, 2, 2, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [2, 2, 2, 2, 2, 2, 2, 7, 7, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8]]
[[8], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 2, 6, 8, 8]]
[[], [2, 2, 2, 2, 2, 2, 2, 7, 7], [8, 8, 8, 8], [6, 8, 8, 8], [8, 8, 8, 8]]
[[8], [8, 8, 8], [7, 7, 8], [6, 8, 8], [8, 8, 8], [2, 2, 2, 2, 2, 2, 2, 8]]
[[], [8, 8, 8], [2, 2, 2, 2, 2, 7, 7], [2, 2, 8, 8], [8, 8, 8], [8, 8, 8], [6]]
[[8], [7, 8], [8, 8], [8, 8], [6, 7, 8], [8, 8], [8, 8], [2, 2, 2, 2, 2, 2, 2]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [7, 7], [8, 8], [2, 2, 2, 2, 2, 2, 2]]
[[], [8, 8], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [], [2, 2, 2, 2, 2, 2, 2], [7, 7]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [], [8], [2, 2, 2, 2, 2, 2, 2], [6]]
[[8], [8], [2, 2, 2, 8], [8], [6, 8], [7, 7], [8], [2, 2, 2, 8], [8], [2, 8], [8], [8]]
[[8], [8], [8], [2, 2, 8], [8], [2, 2, 8], [2, 8], [2, 2, 8], [8], [6, 7], [8], [8], [7]]
[[7], [2, 8], [8], [8], [2, 2, 7], [2, 2, 8], [8], [8], [8], [8], [6], [8], [2, 2, 8], [8]]
[[8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [6], [2, 2, 2, 2, 2, 2], [8], [2, 7]]
[[8], [8], [8], [8], [7], [8], [2, 2, 2, 2, 2], [7], [8], [8], [8], [8], [2, 2], [8], [8], [6]]
[[6], [], [8], [2, 2, 2, 2, 2], [7], [8], [8], [2, 2], [8], [8], [8], [8], [8], [8], [8], [8], [7]]
[[8], [8], [8], [], [6], [2, 2, 2, 2], [7], [], [2, 2, 2], [8], [8], [8], [7], [8], [8], [8], [8], [8]]
[[8], [8], [2, 2, 2, 2], [8], [], [8], [8], [7], [8], [7], [8], [8], [], [2, 2, 2], [], [6], [8], [8], [8]]
[[], [8], [8], [8], [], [8], [8], [8], [7], [6], [2, 2, 2], [7], [2, 2, 2, 2], [8], [], [8], [8], [8], [], [8]]
[[6], [], [], [8], [8], [8], [2, 2, 2], [8], [8], [8], [8], [], [8], [7], [8], [2, 2, 2, 2], [], [], [8], [7], [8]]
-EndAllocation

Instance: [[1], [121], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,21. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,21:
-StartAllocation
[[8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 8, 8, 8], [3, 3, 3, 3, 3, 3, 6]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8], [8, 8, 8], [3, 8, 8], [6, 8, 8]]
[[8], [6, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 8]]
[[], [8, 8], [8, 8], [6], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 8]]
[[], [6, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[8], [3, 3, 8], [8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [6, 8], [3, 3, 8], [3, 8]]
[[8], [6, 8], [8], [3, 8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 3, 3], [8]]
[[8], [3, 3, 3, 3], [8], [3, 8], [8], [3, 8], [3, 8], [8], [3, 8], [8], [3, 8], [8], [6]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [6], [8], [8], [3, 8]]
[[8], [8], [6], [3, 3, 3, 3], [8], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [], [8]]
[[8], [8], [3, 3, 3], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [6], [8], [], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [3, 6], [3, 3, 3], [8], [], [8], [3, 3], [8], [8], [8], [8], []]
[[8], [8], [8], [8], [], [3, 3, 3], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [6], [], [8], [3, 3, 3]]
[[8], [6], [8], [8], [8], [3, 3, 3], [], [], [8], [8], [3, 3, 3], [8], [8], [8], [], [], [3, 3, 3], [8], [8]]
[[], [], [8], [8], [], [3, 3], [], [8], [8], [3, 6], [], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8]]
[[8], [], [3, 3], [8], [], [8], [8], [3], [3, 3], [8], [8], [3, 3], [8], [8], [3, 3], [8], [6], [], [], [8], [8]]
-EndAllocation

Instance: [[1], [132], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8]]
[[], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8], [8, 8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4], [8], [], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [4], [8], [], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [], [4, 4], [4, 4]]
[[8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [4], [8], [4, 4], [], [8], [8], [4, 4]]
[[8], [8], [], [8], [8], [4, 4], [8], [4], [8], [8], [], [8], [8], [], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [], [8]]
-EndAllocation

Instance: [[1], [131], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [4, 7, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8], [4, 4, 4, 4, 4]]
[[8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8]]
[[], [4, 4, 4, 4], [4, 4, 4], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8], [8, 8]]
[[4, 8], [4, 8], [4, 4, 4], [8], [4, 7], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [7], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [7], [4, 4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [7], [4, 4]]
[[8], [7], [4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [4], [8], [8], [8], [8], [], [8], [7], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [4], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [4], [8], [], [8], [4, 4], [8], [8], [], [8], [4, 4], [7], [8], [], [4, 4], [4, 4]]
[[8], [8], [], [4], [4, 4], [7], [8], [4, 4], [8], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [4, 4]]
[[8], [8], [], [8], [8], [7], [8], [4, 4], [8], [8], [], [8], [8], [4], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [], [8]]
-EndAllocation

Instance: [[1], [130], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 8, 8], [6, 8, 8, 8]]
[[], [6, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], [8, 8]]
[[8], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 6]]
[[], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [6, 8], [8, 8], [8, 8], [8, 8]]
[[], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [], [6], [8, 8], [8, 8], [8, 8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [6, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [8], [4, 8], [], [8], [8], [8], [4, 4, 4], [4, 8], [4, 6], [4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 4, 4], [6], [8], [8], [8], [4, 4, 4], [], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [6], [], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [6], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4], [8], [4, 4], [6], [4, 4], [8], [8], [], [8]]
[[8], [4, 4], [8], [], [6], [8], [4, 4], [4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [8]]
[[], [], [4], [4, 4], [8], [], [6], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [8], [4], [], [6], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4]]
[[6], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [4], [8], [8]]
-EndAllocation

Instance: [[1], [129], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8], [8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 8, 8], [5, 8, 8, 8]]
[[], [8, 8, 8], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [5, 8, 8], [8, 8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [5, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [5], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [5], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 5], [4, 4, 4, 4], [4], [], [8, 8], [8, 8], [8, 8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [5, 8]]
[[8], [8], [4, 8], [5, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 8], [8], [8], [4, 8], [], [8], [5, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 4, 4], [], [5], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [8], [], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [5], [], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [8], [8], [8], [4, 4], [8], [5], [8]]
[[8], [5], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8]]
[[5], [4, 4], [8], [], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [4], [8], [8], [8], [8]]
[[8], [], [], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [5], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8]]
[[5], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [8], [], [], [4, 4], [4], [4, 4], [8], [8], [4, 4], [4, 4]]
[[], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4], [5], [8]]
-EndAllocation

Instance: [[1], [128], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 8], [2, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8]]
[[5, 5, 5], [3, 5, 5, 5, 6, 6, 6, 7, 7, 7], [2, 4, 5, 5, 8, 8, 8, 8, 8]]
[[4], [2, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 7, 7, 7]]
[[], [3, 6, 8, 8, 8], [4, 6, 6, 8, 8], [5, 5, 7, 7, 7], [2, 5, 5, 5, 5, 5, 5]]
[[], [6, 6, 8], [3, 5, 5, 5, 5], [2, 5, 5, 5, 5, 6], [7, 7, 7, 8], [4, 8, 8, 8]]
[[], [6, 6, 6, 7], [3, 5, 5, 5, 7], [8], [5, 5, 5, 5, 5], [2, 7, 8, 8], [4, 8, 8]]
[[], [6], [5, 5, 5, 5], [5, 8, 8], [4, 8, 8], [7, 7, 7], [2, 5, 6, 6], [3, 5, 5, 8]]
[[], [5, 5, 5, 5], [3, 5, 5, 5], [6, 7], [4, 8, 8], [6, 6], [2, 8, 8], [5, 7, 7], [8]]
[[], [8, 8], [7, 7], [5, 5, 5], [5, 5], [4, 5, 6], [3, 6, 6], [2, 8], [5, 5, 7], [8, 8]]
[[], [7, 7], [4, 6, 6], [2, 8], [5, 5, 5], [7], [3, 8], [8, 8], [5, 5, 6], [5, 8], [5, 5]]
[[8], [5, 6], [4, 8], [5, 5], [3, 5, 5], [], [5, 8], [6, 7], [2, 8], [5, 6], [7, 7], [5, 8]]
[[7], [6], [7], [5, 8], [5, 8], [5], [4, 8], [6, 7], [5, 8], [8], [5, 5], [2, 5, 5], [3, 6]]
[[8], [8], [6, 6], [8], [2, 5, 5], [3, 8], [7], [8], [4, 6], [5, 5], [7], [7], [5, 5], [5, 5]]
[[7], [6], [8], [3, 7], [5, 5], [8], [2, 4], [7], [8], [8], [8], [6, 6], [5, 5], [5, 5], [5, 5]]
[[8], [5, 5], [], [4, 6], [8], [7], [6], [3, 7], [8], [5, 5], [2, 6], [5, 5], [8], [7], [5, 5], [8]]
[[8], [8], [2, 3, 5], [6], [6], [5, 5], [7], [7], [6], [8], [8], [8], [4], [5], [5, 5], [7], [5, 5]]
[[8], [5, 5], [5, 5], [3], [7], [4], [8], [8], [5, 5], [6], [2, 6], [7], [7], [5, 5], [6], [8], [8], []]
[[8], [8], [5], [7], [5], [2, 5], [3, 5], [8], [6], [4, 5], [6], [5], [7], [5], [7], [5], [8], [6], [8]]
[[5], [5], [8], [8], [8], [5], [2, 5], [4, 5], [], [5], [6], [7], [6], [7], [5], [8], [8], [7], [3, 5], [6]]
[[8], [8], [8], [7], [3, 6], [5], [5], [2, 5], [8], [6], [5], [8], [], [7], [5], [5], [4, 5], [6], [], [5], [7]]
[[5], [5], [6], [7], [5], [8], [8], [8], [8], [5], [5], [3], [4], [7], [5], [5], [7], [2], [5], [8], [6], [6]]
-EndAllocation

Instance: [[1], [127], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,22. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,22:
-StartAllocation
[[8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [7, 8, 8], [8, 8, 8], [4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4]]
[[], [7, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4], [8, 8]]
[[], [8, 8], [4, 4, 7], [8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [4, 7], [4, 8], [4, 8], [4, 8], [8]]
[[8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[], [8], [8], [7], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], []]
[[8], [4, 4], [8], [8], [7], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], []]
[[8], [8], [4, 4], [7], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8]]
[[], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [7], [], [4, 4]]
[[8], [8], [8], [], [4, 4], [8], [], [8], [8], [8], [], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [7]]
[[8], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [7], [8], [8], [], [4, 4], [4, 4], [], [], [8]]
-EndAllocation

Instance: [[1], [138], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[7, 7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3, 3], [3, 8, 8, 8, 8, 8, 8, 8], [3, 4, 7, 7, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8, 8], [3, 3, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8, 8]]
[[], [3, 8, 8, 8, 8], [8, 8, 8, 8], [3, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 7, 7]]
[[8, 8], [4, 7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [4, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8], [8, 8, 8], [4, 7, 7], [8, 8, 8]]
[[8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 4, 8], [7, 7], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 8], [8, 8], [8], [8, 8], [4, 7, 7], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [4, 7], [8, 8], [], [7, 8], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [3, 3, 3, 4], [8, 8], [3, 3, 3, 3, 3], [7, 7], [8, 8], [], [8, 8], [8, 8], [], [8, 8]]
[[8], [7, 7], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8], [4, 8], [8], [8]]
[[8], [8], [3, 8], [3, 8], [4, 8], [3, 3, 7], [3, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [7]]
[[8], [8], [8], [8], [3, 3, 7], [8], [3, 8], [4, 8], [8], [3, 3, 3, 3], [8], [7], [3, 8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [7], [3, 3, 3, 3], [8], [8], [8], [7], [4, 8], [8]]
[[8], [8], [7], [8], [4, 8], [], [8], [8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3, 3, 3], [8]]
[[7], [8], [3], [8], [8], [3, 7], [8], [8], [8], [3, 3, 3], [8], [4], [8], [8], [8], [8], [8], [3, 3, 3]]
[[7], [8], [], [7], [3, 3], [8], [8], [4], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [], [8], [4], [7], [8], [8], [8], [8], [8], [8], [], [3, 3, 3], [8], [7], [8], [8], [3, 3], [3, 3, 3], [8]]
[[7], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [], [8], [], [8], [8], [3, 3, 3], [8], [8], [4], [7], [3, 3]]
[[8], [7], [], [8], [8], [3, 3], [8], [], [8], [8], [8], [8], [], [3, 3, 3], [8], [], [8], [8], [4], [7], [8], [3, 3, 3]]
[[8], [], [], [8], [], [8], [3, 3], [4], [8], [], [7], [8], [8], [8], [7], [8], [8], [3, 3], [8], [8], [3, 3], [3, 3], [8]]
-EndAllocation

Instance: [[1], [137], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 8], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[7, 7, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3], [3, 3, 3, 4, 8, 8, 8, 8, 8, 8], [7, 7, 7, 8, 8, 8, 8, 8]]
[[], [7, 7, 7, 8, 8, 8], [3, 3, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 4, 8, 8, 8]]
[[], [3, 8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 8, 8, 8], [3, 3, 3, 4, 7, 7, 7]]
[[8], [4, 7, 8, 8], [7, 7, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [4, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7, 7]]
[[], [4, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8], [8, 8, 8], [7, 7, 7], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [3, 4, 8], [7, 7, 7], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 8], [8, 8], [8, 8], [8, 8], [4, 7], [3, 3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8]]
[[], [4, 7], [8, 8], [], [7, 7], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [3, 3, 3, 4], [8, 8], [3, 3, 3, 3, 3], [7, 7], [8, 8], [], [8, 8], [7, 8], [], [8, 8]]
[[8], [7], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [7, 7], [8], [8], [4, 8], [8], [3, 3, 8]]
[[8], [8], [3, 8], [3, 8], [4, 8], [3, 3, 7], [8], [8], [8], [8], [3, 3, 7], [3, 8], [3, 8], [7]]
[[8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [4, 7], [8], [3, 3, 7], [8], [7], [3, 8], [8], [8]]
[[8], [8], [8], [7], [8], [8], [3, 3, 3, 3], [8], [7], [3, 3, 3, 3], [8], [8], [8], [7], [4, 8], [8]]
[[8], [8], [7], [8], [4, 8], [], [8], [8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [7], [3, 3, 3, 3], [8]]
[[7], [8], [3], [8], [8], [3, 7], [7], [8], [8], [3, 3, 3], [8], [4], [8], [8], [8], [8], [8], [3, 3, 3]]
[[7], [8], [], [7], [3, 3], [8], [8], [4], [8], [3, 3, 3], [8], [8], [8], [7], [8], [8], [8], [8], [3, 3, 3]]
[[8], [], [7], [4], [7], [8], [8], [8], [8], [8], [8], [], [3, 3, 3], [8], [7], [8], [8], [3, 3], [3, 3, 3], [8]]
[[7], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [], [8], [], [8], [8], [3, 3, 3], [8], [7], [4], [7], [3, 3]]
[[8], [7], [], [8], [8], [3, 3], [7], [], [8], [8], [8], [8], [], [3, 3, 3], [8], [], [8], [8], [4], [7], [8], [3, 3, 3]]
[[7], [], [], [8], [], [8], [3, 3], [4], [8], [], [7], [8], [8], [8], [7], [8], [8], [3, 3], [8], [8], [3, 3], [3, 3], [8]]
-EndAllocation

Instance: [[1], [136], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 8]]
[[8], [8, 8, 8, 8, 8], [7, 7, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[], [3, 3, 3, 3, 3, 7, 7, 7], [3, 8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 8, 8, 8]]
[[8], [7, 7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [3, 7, 7, 7], [8, 8], [8, 8, 8]]
[[], [3, 3, 8, 8], [3, 3, 3, 8], [7, 7, 7], [3, 3, 8, 8], [8, 8], [3, 3, 8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 8], [7, 7, 7]]
[[], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [3, 3, 3, 7], [8, 8], [3, 3, 3, 3, 3, 3], [8]]
[[], [7, 7], [3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3]]
[[], [8, 8], [7, 7], [3, 3, 3, 3], [], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], []]
[[8], [7, 7], [3, 3, 8], [3, 8], [8], [8], [7], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [3, 8], [3, 8], [8], [3, 8], [3, 3, 7], [7], [8], [3, 8], [8], [3, 8], [3, 7], [3, 8], [8]]
[[8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [7], [3, 8], [8], [3, 3, 7], [8], [7], [3, 8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [7], [8], [8], [8], [3, 3, 3, 3], [8], [7], [8], [3, 8], [8], [7], [8]]
[[8], [8], [3, 3, 3], [8], [7], [8], [8], [3, 7], [8], [3, 3, 3], [7], [3, 3], [8], [8], [8], [8], [8]]
[[7], [7], [8], [], [8], [8], [3, 3, 3], [7], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8]]
[[7], [8], [7], [8], [8], [8], [], [3, 3, 3], [8], [8], [7], [8], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3]]
[[8], [], [8], [8], [7], [8], [], [8], [3, 3, 3], [3, 3, 3], [8], [8], [7], [8], [8], [3, 3, 3], [8], [8], [7], []]
[[8], [8], [8], [8], [], [3, 3, 3], [8], [8], [], [7], [7], [7], [8], [3, 3, 3], [3, 3, 3], [8], [8], [], [8], [], [8]]
[[8], [8], [8], [7], [3, 3, 3], [8], [8], [], [8], [7], [8], [7], [8], [3, 3, 3], [8], [], [8], [], [], [], [8], [3, 3, 3]]
[[], [3, 3], [8], [8], [8], [8], [8], [8], [3, 3], [7], [3, 3], [], [], [8], [8], [8], [8], [3, 3], [3], [7], [], [7], [8]]
-EndAllocation

Instance: [[1], [135], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8]]
[[8], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 8, 8, 8]]
[[], [3, 8, 8], [8, 8, 8], [4, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[8], [3, 3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8]]
[[], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8]]
[[], [4, 8], [3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [3, 3, 3, 3], [], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], []]
[[8], [8], [3, 3, 8], [4, 8], [8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [8], [3, 8], [3, 3, 8]]
[[8], [3, 8], [8], [4, 8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 8], [8]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [4, 8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [4], [8], [3, 8], [8], [8], [8]]
[[8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [4], [8], [3, 3, 3], [8], [8], [8], [8]]
[[], [8], [8], [8], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [4], [8], [8], [8], [8], [3, 3, 3]]
[[8], [], [8], [8], [4], [8], [8], [8], [3, 3, 3], [], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [], [8]]
[[8], [8], [8], [8], [], [3, 3, 3], [8], [8], [], [8], [8], [4], [8], [3, 3, 3], [3, 3, 3], [8], [8], [], [8], [], [8]]
[[8], [8], [8], [3, 3, 3], [4], [8], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [8], [], [8], [], [], [], [8], [3, 3, 3]]
[[], [3, 3], [8], [8], [8], [8], [8], [8], [3, 3], [4], [3, 3], [], [], [8], [8], [8], [8], [3, 3], [3], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [134], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [3, 3, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[8], [3, 3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3, 3], [8]]
[[], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3]]
[[], [8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], []]
[[8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [3, 8], [3, 8], [8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 8], [8]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3], [8], [8], [8]]
[[8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [], [8], [8], [3, 3, 3], [8], [3], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [8], [3], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3]]
[[8], [], [8], [8], [8], [8], [], [8], [3, 3, 3], [3], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [], [8]]
[[8], [8], [8], [8], [], [3, 3, 3], [8], [3], [], [8], [8], [], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [], [8]]
[[8], [8], [8], [3, 3, 3], [3], [8], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [8], [], [8], [], [], [], [8], [3, 3, 3]]
[[], [3, 3], [8], [8], [], [8], [8], [8], [3, 3], [8], [3, 3], [], [], [8], [8], [8], [8], [3, 3], [3, 3], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [133], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,23. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8]]
[[], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 7, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 6], [4, 4, 4, 4, 7]]
[[], [8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 7, 8]]
[[], [8, 8], [8, 8], [4, 4, 6], [7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 6], [4, 4, 4, 4], [7], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 6], [7, 8], [8, 8]]
[[], [8, 8], [6], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [7, 8], [8, 8]]
[[8], [8], [4, 8], [8], [7], [4, 8], [4, 4, 4], [6, 8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [6], [8], [4, 7]]
[[8], [8], [8], [4, 4, 4], [4, 6], [7], [8], [8], [8], [], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [8], [6], [4, 4, 4], [4, 7], [], [8], [8], [8], [4, 4, 4], [4, 4], [8], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [4, 6], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [7], [4, 4], [6], [4, 4]]
[[8], [4, 4], [6], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [7], [], [8], [8]]
[[], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [7], [], [4, 4], [8], [6], [8], [8], [8]]
[[], [8], [], [8], [], [4, 4], [8], [8], [8], [], [8], [7], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [6], [4, 4]]
[[], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [6], [4, 4], [8], [4, 4], [], [], [8], [], [4, 4]]
[[8], [8], [8], [], [8], [8], [], [7], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [8], [], [4, 4], [8], [6], [], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [144], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 7, 7, 7, 8, 8], [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5], [2, 3, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7]]
[[7], [2, 6, 6, 6, 7, 8, 8], [3, 4, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 7]]
[[8], [3, 5, 5, 6, 8, 8], [4, 5, 5, 5, 5, 5, 5], [6, 6, 7, 7, 7], [2, 8, 8, 8, 8]]
[[], [3, 5, 5, 6, 6, 6], [5, 5, 5, 5, 5, 5], [2, 8, 8, 8], [4, 7, 7, 7], [8, 8, 8, 8]]
[[], [2, 6, 6, 8], [7, 7, 7], [8, 8, 8], [4, 5, 5, 5, 6], [3, 8, 8, 8], [5, 5, 5, 5, 5]]
[[], [8, 8], [8, 8, 8], [6, 6, 6], [3, 7, 7, 7], [5, 5, 5, 5], [5, 5, 5, 5], [2, 4, 8, 8]]
[[], [5, 5, 5, 5], [8, 8], [2, 5, 5, 5], [3, 5, 8], [6, 6, 6], [7, 7, 7], [4, 8, 8], [8, 8]]
[[], [7, 8], [7, 7], [6, 6, 6], [4, 8, 8], [5, 5, 5, 5], [5, 5, 5, 5], [2, 3, 8], [8, 8], [8]]
[[], [2, 8, 8], [3, 4, 7], [7, 7], [8, 8], [6], [6, 8], [5, 5, 5], [8, 8], [5, 5, 5], [5, 5, 6]]
[[], [], [6, 8], [7, 7], [8, 8], [8, 8], [5, 5, 5], [5, 5, 6], [2, 5, 7], [3, 4, 5], [5, 6], [8, 8]]
[[], [8, 8], [5, 5], [5, 5, 5], [], [8, 8], [6, 6], [8, 8], [2, 6], [3, 4, 8], [7, 7], [5, 5, 5], [7]]
[[8], [5, 5], [4, 8], [8], [8], [8], [8], [5, 5], [2, 5, 5], [6, 8], [7, 7], [6, 6], [3, 7], [5, 5]]
[[], [8], [5, 5], [2, 8], [6, 6], [5, 6], [5, 7], [5, 7], [8], [8], [5, 7], [4, 8], [8], [3, 8], [5, 5]]
[[8], [4, 6], [8], [5, 5], [6, 6], [5, 7], [8], [8], [], [8], [5, 7], [3, 5], [2, 8], [5, 7], [5, 5], [8]]
[[8], [3, 8], [5, 5], [8], [], [8], [5, 6], [4, 8], [2, 7], [5, 5], [], [5, 7], [6, 6], [7], [8], [8], [5, 5]]
[[6], [7], [5, 5], [6], [7], [8], [6], [8], [2, 4], [8], [3, 7], [8], [5, 5], [8], [5, 5], [5, 5], [8], [8]]
[[8], [8], [8], [3, 7], [8], [4], [8], [6], [8], [7], [5, 5], [5], [6], [8], [5, 5], [2, 5], [7], [5, 5], [6]]
[[], [5, 5], [8], [5, 5], [2, 8], [7], [6], [7], [8], [], [6], [3, 4], [6], [8], [7], [8], [8], [8], [5, 5], [5, 5]]
[[8], [8], [2, 6], [5], [5], [6], [3, 5], [5], [4, 5], [8], [8], [7], [8], [7], [8], [6], [5], [5], [8], [7], [5]]
[[8], [5], [4, 5], [7], [7], [7], [8], [3], [6], [5], [5], [6], [8], [2, 5], [5], [8], [8], [5], [5], [8], [8], [6]]
[[6], [], [5], [8], [5], [7], [8], [8], [5], [5], [3, 5], [8], [8], [4], [8], [6], [7], [5], [8], [5], [6], [2, 7], [5]]
[[6], [5], [5], [6], [5], [8], [7], [8], [5], [8], [2, 4], [5], [5], [3, 5], [8], [], [7], [6], [7], [8], [5], [8], [8], []]
-EndAllocation

Instance: [[1], [143], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4]]
[[8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], []]
[[], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 7]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 7], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [7], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [7], [8], [4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4], [4, 8], [], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [7], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [], [4, 4], [7], [8], [4, 4], [8], [8], [4, 4]]
[[], [], [8], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [7], [4, 4], [4, 4], [4, 4], [8]]
[[7], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8]]
[[8], [], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [], [7], [8], []]
[[8], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [], [], [], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [7], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [142], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 6]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], [6, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 6]]
[[8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 6], [8, 8]]
[[], [8], [8, 8], [4, 4, 4, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [6, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [8], [4, 4, 6], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [6], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8]]
[[8], [4, 6], [8], [], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [6], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 4], [4, 6], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [6], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [], [4], [8], [8], [4, 4], [4, 6], [8], [4, 4]]
[[], [], [8], [8], [8], [6], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8]]
[[8], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [6], [8], [4, 4], [8], [8], [4, 4], [], [8], [8]]
[[8], [], [6], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], []]
[[8], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [], [], [], [8], [4, 4], [8], [8], [8], [6], [4, 4], [8], [4, 4], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [141], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4, 6]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [6, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 7, 8], [8, 8, 8], [], [4, 4, 4, 4, 6]]
[[8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 6], [8, 8]]
[[], [8], [8, 8], [4, 4, 4, 6], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], []]
[[], [4, 4, 4, 4], [8, 8], [6, 7], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [6, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 7]]
[[8], [4, 8], [8], [4, 4, 6], [4, 4, 4], [4, 8], [4, 7], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [7], [6], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8]]
[[8], [4, 6], [8], [], [8], [8], [4, 8], [8], [4, 4, 4], [4, 7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4], [4, 6], [], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4]]
[[8], [4, 4], [4, 6], [8], [8], [8], [4, 4], [4, 4], [8], [7], [4], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [4, 6], [8], [8], [8], [4, 4], [8], [4, 4], [], [4], [8], [8], [8], [4, 4], [4, 4], [8], [7], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [], [4], [7], [8], [4, 4], [4, 6], [8], [4, 4]]
[[], [4, 4], [8], [8], [8], [6], [8], [8], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [7], [4, 4], [4, 4], [4, 4], [8]]
[[7], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [6], [8], [4, 4], [8], [8], [4, 4], [], [8], [8]]
[[8], [], [6], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [], [7], [8], []]
[[8], [8], [], [], [], [4, 4], [8], [8], [4, 4], [], [], [], [8], [4, 4], [8], [8], [8], [6], [4, 4], [8], [7], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [140], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8], [3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [7, 7, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [3, 8, 8], [8, 8, 8], [3, 7, 7, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 8, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [7, 7]]
[[8], [7, 7], [3, 3, 3, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [3, 3, 3, 3]]
[[], [7, 7], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [7, 7], [], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [7, 7], [8], [3, 3, 8], [8]]
[[7], [8], [3, 8], [8], [8], [8], [3, 3, 7], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8]]
[[8], [3, 8], [8], [3, 8], [3, 8], [8], [8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [7], [3, 3, 7]]
[[8], [8], [7], [3, 3, 3, 3], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 7], [8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3], [8], [8], [3, 3, 3, 3], [8], [8], [7], [8], [8], [8], [7]]
[[8], [8], [8], [8], [8], [8], [7], [3, 3, 3], [8], [7], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [3], [8]]
[[8], [7], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3], [], [8], [3, 3, 3], [7], [8]]
[[], [8], [8], [7], [8], [8], [8], [8], [8], [8], [], [8], [8], [3, 3, 3], [8], [3], [3, 3, 3], [8], [7], [3, 3, 3]]
[[], [8], [8], [3, 3, 3], [8], [8], [8], [3], [8], [8], [8], [7], [3, 3, 3], [], [3, 3, 3], [8], [8], [], [7], [8], [8]]
[[8], [8], [8], [8], [], [3, 3, 3], [8], [3], [], [8], [8], [8], [8], [8], [7], [7], [3, 3, 3], [], [], [8], [8], [3, 3, 3]]
[[], [8], [8], [8], [8], [], [], [3, 3, 3], [8], [7], [8], [3], [8], [], [3, 3, 3], [3, 3, 3], [8], [8], [8], [], [8], [8], [7]]
[[], [8], [8], [8], [7], [8], [], [3, 3], [8], [3, 3], [3, 3], [8], [], [7], [3, 3], [8], [8], [3, 3], [8], [8], [8], [], [8], []]
-EndAllocation

Instance: [[1], [139], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,24. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,24:
-StartAllocation
[[1, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8]]
[[1, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 8], [4, 4, 4, 7, 7, 7]]
[[1, 2, 3, 4, 4, 4, 6, 6, 6], [7, 7, 7], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8]]
[[1, 2, 3, 6, 6, 6, 6], [8], [8, 8, 8, 8], [4, 4, 4, 7, 7, 7], [6, 6, 6, 6, 6, 6]]
[[1, 2, 3, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6], [4, 4, 7, 7, 7], [8, 8, 8, 8], [4, 8]]
[[1, 2, 3, 6, 6], [6, 6, 6, 6], [7, 7, 7], [4, 4, 4], [8, 8, 8], [6, 6, 6, 6], [8, 8]]
[[1, 2, 3, 6, 6], [4, 4, 4], [6, 6, 6, 6], [], [6, 6, 6, 6], [7, 7, 7], [8, 8], [8, 8, 8]]
[[1, 2, 3, 6, 6], [6, 6, 6], [6, 6, 6], [4, 4, 4, 8], [7, 7, 7], [], [6, 6], [8, 8], [8, 8]]
[[1, 3, 6, 7], [6, 6, 6], [6, 6, 6], [8, 8], [], [6, 6, 6], [2, 8], [4, 4, 4], [8, 8], [7, 7]]
[[1, 2, 3, 6], [4, 4, 4], [6, 6], [6, 6], [6, 6], [8, 8], [7, 7], [6, 6], [6], [8, 8], [7, 8]]
[[1, 2, 3, 7], [6, 6], [6, 6], [6, 6], [6, 6], [], [7, 7], [8, 8], [8], [6, 6], [8, 8], [4, 4, 4]]
[[1, 2, 3, 6], [6, 6], [6, 6], [6, 6], [6, 6], [8], [8], [8], [8], [8], [4, 4, 4], [6, 7], [7, 7]]
[[1, 2, 3, 7], [6, 6], [6, 6], [6, 6], [6, 6], [8], [8], [8], [8], [8], [4, 4, 4], [6, 7], [7], [6]]
[[1, 2, 3, 6], [6, 7], [6, 6], [6, 6], [6, 6], [8], [7], [8], [8], [], [8], [8], [7], [4, 4, 4], [6, 6]]
[[1, 2, 7], [6, 6], [6, 6], [6, 6], [7], [8], [8], [6, 6], [4, 4, 4], [8], [], [8], [3, 7], [6], [6], [8]]
[[1, 2, 8], [8], [6, 6], [6, 6], [6, 6], [3, 7], [], [], [6, 6], [4, 4, 4], [8], [7], [6], [6], [8], [7], [8]]
[[1, 3, 6], [4, 6], [4, 6], [4, 6], [6], [8], [6], [6], [8], [8], [7], [6], [7], [6], [6], [7], [8], [2, 8]]
[[1, 3, 6], [4, 6], [7], [6], [6], [6], [8], [8], [8], [6], [8], [6], [6], [6], [6], [8], [7], [7], [2, 4, 4]]
[[1, 8], [6], [6], [6], [6], [6], [6], [6], [6], [6], [8], [8], [6], [7], [8], [7], [7], [2, 3, 4], [4, 4], [8]]
[[3, 6], [6], [6], [6], [6], [6], [], [6], [6], [6], [6], [4], [7], [7], [8], [8], [8], [8], [2, 7], [8], [1, 4, 4]]
[[1, 2, 6], [6], [6], [6], [6], [6], [6], [6], [6], [8], [4, 4], [6], [], [7], [8], [7], [7], [8], [8], [], [3, 4], [8]]
[[2, 3, 4], [6], [6], [6], [6], [6], [6], [6], [8], [6], [], [], [7], [7], [4, 4], [6], [8], [8], [6], [7], [], [8], [1, 8]]
[[2, 6], [6], [6], [6], [6], [6], [6], [6], [6], [], [6], [7], [8], [8], [4], [], [7], [], [4, 4], [3], [1, 7], [8], [8], [8]]
-EndAllocation

Instance: [[1], [150], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 7, 7], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 7, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 7, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 7, 7]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 7, 7], [8, 8], [8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [], [8, 8], [7, 7]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [7, 7]]
[[8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [7, 7], [4, 8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 7], [4, 7], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 7], [8], [7], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4], [8], [4, 8], [7], [8], [8], [8], [7], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [], [8], [4, 4, 4], [8], [8], [4], [8], [8], [8], [4, 8], [8], [7], [8], [7], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4], [8], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[7], [4, 4], [8], [8], [7], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [7], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [7]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [], [8], [8], [], [], [4, 4], [4, 4], [7], [4, 4], [4, 4], [8]]
[[], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [7], [], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [7], [8], [8], [4, 4], [4, 4], [], [7], [8], [], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [7], [], [4, 4], [7], [], [], [4, 4], [8], [4, 4], [], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [149], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 5], [8, 8, 8], [4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 8], [8, 8], [5, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [5, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [5], [8, 8], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [5, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8]]
[[8], [5, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [5, 8], [4, 8], [8]]
[[8], [8], [5, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [5], [4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [5], [8], [4], [8], [8], [8], [4, 8], [8], [], [8], [8], [4, 4, 4]]
[[8], [5], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [4], [8], [8], [4, 5], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4], [4, 5], []]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [5], [4, 4], [4, 4], [], [], [4, 4], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [5], [], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 5], [4], [8], [], [8], [], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [5], [8], [], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [148], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8]]
[[8], [7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8, 8], [7, 7, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 8, 8, 8], [3, 8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 3, 7, 7], [3, 8, 8, 8], [3, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 7, 7, 8], [3], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[8], [8, 8], [8, 8], [3, 8, 8], [3, 3, 7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [7, 7], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8], [8], [8, 8]]
[[], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8], [8, 8], [7, 7]]
[[], [], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [8, 8], [8], [8, 8], [7, 7]]
[[8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [8], [7, 7], [3, 3, 8]]
[[8], [3, 8], [3, 8], [8], [3, 3, 7], [3, 3, 7], [3, 8], [8], [8], [3, 8], [3, 8], [8], [8], [8], [3, 8]]
[[8], [3, 8], [8], [8], [8], [8], [8], [3, 3, 7], [8], [7], [3, 8], [8], [3, 3, 3, 3], [3, 8], [8], [3, 8]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 8], [3, 7], [8], [8], [8], [7], [8], [3, 3, 3, 3]]
[[8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [8], [3, 7], []]
[[8], [3, 3, 3], [3, 3, 3], [8], [7], [8], [3], [8], [8], [8], [8], [7], [8], [8], [8], [8], [3, 3, 3], [8], [8]]
[[7], [3, 3, 3], [8], [3], [7], [8], [8], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3]]
[[8], [8], [], [8], [8], [3], [3, 3, 3], [8], [], [7], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [7]]
[[8], [7], [3, 3, 3], [3], [3, 3, 3], [8], [8], [8], [8], [8], [7], [8], [8], [8], [], [8], [], [3, 3, 3], [8], [], [8], [8]]
[[], [], [3, 3, 3], [8], [8], [8], [], [8], [7], [], [7], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [3]]
[[8], [7], [8], [3, 3, 3], [3], [], [8], [7], [8], [8], [8], [8], [8], [], [], [8], [3, 3, 3], [3, 3, 3], [8], [8], [], [], [8], [8]]
[[8], [], [], [8], [8], [8], [8], [3, 3], [3, 3], [8], [8], [7], [], [], [7], [3, 3], [3, 3], [8], [8], [8], [3, 3], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [147], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8], [6, 7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 7], [8, 8, 8, 8], [6, 8, 8, 8], [3, 3, 8, 8]]
[[], [7, 8, 8], [8, 8, 8], [8, 8, 8], [6, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [6, 7], [8, 8]]
[[8], [6, 8, 8], [3, 3, 3, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 7, 8], [3, 3, 3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 8], [3, 3, 3, 7], [8], [6, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 3, 3, 3], [8], [8, 8], [8, 8], [3, 3, 3, 7], [8, 8], [3, 3, 6], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [3, 3], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 7], [6, 8], [8, 8], [], [8, 8], [8, 8]]
[[8], [8], [8], [7], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [6, 8]]
[[8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [8], [3, 8], [3, 8], [3, 8], [6, 7], [3, 8], [8], [3, 8]]
[[8], [8], [8], [3, 8], [3, 3, 7], [8], [3, 8], [8], [3, 3, 3, 3], [6], [3, 8], [8], [8], [8], [3, 8], [8]]
[[8], [3, 8], [8], [8], [7], [8], [3, 3, 3, 3], [8], [3, 6], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [], [8], [8], [3, 6], [8], [3, 3, 3, 3], [8], [7], [3, 8], [8], [8]]
[[8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [3, 3, 3], [8], [3], [8], [7], [8], [8], [8], [8], [8], [8], [6], [8]]
[[8], [3, 3, 3], [8], [], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [7], [8], [3], [8], [8], [8], [6], [8]]
[[8], [8], [6], [3, 3, 3], [8], [], [8], [8], [3, 3, 3], [8], [3], [8], [8], [8], [8], [], [3, 3, 3], [8], [8], [7], [8]]
[[8], [6], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3], [], [8], [7], [], [8], [8], [3], [8], [], [8], [8], [3, 3, 3], [8]]
[[8], [], [8], [8], [], [7], [8], [8], [8], [], [8], [], [8], [3, 3, 3], [3, 3, 3], [3, 3, 3], [8], [8], [], [8], [3, 6], [8], [8]]
[[8], [], [3, 3, 3], [8], [8], [8], [8], [], [8], [], [8], [8], [8], [7], [8], [3, 3, 3], [3, 3, 3], [6], [], [8], [8], [], [8], [3]]
[[], [8], [8], [8], [8], [8], [8], [], [3, 3], [], [7], [], [3, 3], [3, 3], [8], [8], [8], [3, 3], [8], [8], [], [6], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [146], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 8, 8], [3, 3, 3, 3, 3, 4]]
[[], [4, 8, 8], [8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [4, 8, 8], [3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [3, 3, 3, 8], [4, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8], [8, 8], [3, 3, 3, 3, 8]]
[[], [8, 8], [3, 3, 3, 3, 4], [8, 8], [], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 8], [8, 8], [8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [4, 8], [8, 8], []]
[[8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [4, 8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8]]
[[8], [3, 8], [8], [8], [3, 8], [8], [3, 8], [4, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 3, 3, 3]]
[[8], [8], [8], [4, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [3, 3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 4], [8], [8], [3, 3, 3, 3], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [], [3, 3], [3, 3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [4], [3, 3, 3], [3, 3, 3], [3], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [4], [8], [8], [8], [], [8], [3], [8], [8], [3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [8], [3, 3, 3], [3], [8], [8], [4], [8], [3, 3, 3], [8], [8], [], [8], [], [3, 3, 3], [8], [8]]
[[8], [8], [], [8], [8], [3], [8], [], [8], [8], [8], [3, 3, 3], [8], [8], [], [8], [4], [3, 3, 3], [8], [8], [8], [3, 3, 3]]
[[8], [3, 3, 3], [], [8], [], [], [8], [8], [8], [], [8], [8], [8], [8], [8], [3, 4], [], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8]]
[[], [3], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [4], [8], [8], [], [3, 3, 3], [3, 3, 3], [8], [8], [], [], [8], [8], [8]]
[[8], [8], [8], [3, 3], [8], [8], [], [3, 3], [8], [3, 3], [8], [8], [], [8], [3, 3], [], [], [8], [8], [8], [4], [3, 3], [], [8], [8]]
-EndAllocation

Instance: [[1], [145], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,25. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,25:
-StartAllocation
[[8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [3, 3, 8, 8, 8, 8], [3, 3, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 8, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [3, 8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [3, 3, 3], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [3, 3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [3, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3]]
[[8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 8]]
[[8], [3, 8], [8], [8], [3, 8], [8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [3, 3, 3, 3], [8], [3, 8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3, 3], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [3, 3, 3], [3, 3], [8], [8], [8], [8], [], [8]]
[[8], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [], [8], [3, 3], [8], [8], [3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [], [3, 3, 3], [3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [8], [], [8], [], [3, 3, 3], [8], [8]]
[[8], [8], [], [], [8], [3, 3], [8], [], [8], [8], [8], [3, 3, 3], [8], [8], [], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3]]
[[8], [3, 3, 3], [], [8], [], [], [8], [8], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [], [3, 3, 3], [8], [8], [3, 3], [8], [8]]
[[], [3, 3], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [3, 3, 3], [3, 3, 3], [], [8], [], [], [8], [8], [8]]
[[8], [8], [8], [3, 3], [8], [8], [], [3, 3], [3], [3, 3], [8], [8], [], [8], [3, 3], [], [], [8], [8], [8], [8], [3, 3], [], [8], [8]]
-EndAllocation

Instance: [[1], [156], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 7], [3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3, 5], [3, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 4, 6, 7, 7, 7, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8], [5, 7, 7, 7, 8, 8, 8], [6, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 7, 7, 7], [4, 6, 8, 8, 8, 8], [3, 5, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [5, 7, 7, 7, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 6], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [7, 7, 7, 8], [5, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 5], [3, 8, 8], [8, 8, 8], [8, 8], [6, 8, 8], [4, 7, 7, 7], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [7, 7, 7], [], [3, 3, 3, 3, 3, 3, 3, 3], [4, 6, 8], [5, 8, 8], [8, 8, 8]]
[[], [8, 8], [5, 8, 8], [8, 8], [6, 8], [8, 8], [3, 3, 3, 3, 7], [8, 8], [3, 3, 3, 8], [3, 4, 7, 7]]
[[], [], [8, 8], [3, 5, 7], [8, 8], [6, 7, 7], [3, 3, 3, 3, 3, 3], [8, 8], [4, 8, 8], [3, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [8, 8], [3, 3, 5], [4], [3, 7, 7], [7, 8]]
[[], [8, 8], [7, 7], [3, 5, 8], [8, 8], [3], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [4, 8], [3, 6, 7], []]
[[], [6, 8], [8, 8], [], [8, 8], [3, 3, 3, 3, 4], [8], [8, 8], [3, 3, 3, 3], [], [5, 7], [7, 7], [8, 8], [8, 8]]
[[8], [8], [8], [8], [4, 8], [8], [7, 7], [3, 3, 3, 3], [3, 3, 8], [8], [8], [3, 3, 8], [8], [5, 7], [6, 8]]
[[8], [3, 3, 7], [5, 8], [3, 8], [7], [7], [3, 8], [8], [8], [8], [8], [3, 3, 6], [3, 8], [8], [4, 8], [3, 8]]
[[8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [6, 7], [8], [3, 3, 3, 3], [7], [8], [4, 8], [5, 8]]
[[7], [7], [8], [5, 7], [4, 8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [8], [6], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [7], [8], [8], [6], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [7], [4, 8], [5], [8], [7], [8], [8]]
[[8], [8], [8], [8], [8], [8], [3, 6], [7], [3, 3, 3], [5], [4], [7], [8], [8], [3, 7], [8], [8], [3, 3, 3], [8], [8]]
[[8], [3, 5], [8], [7], [3], [8], [7], [8], [8], [3, 3, 3], [8], [8], [7], [6], [8], [8], [4], [3, 3, 3], [8], [8], [8]]
[[7], [8], [7], [8], [3, 3, 3], [6], [8], [8], [7], [5], [3, 3, 3], [8], [8], [8], [8], [], [8], [3, 3], [4], [8], [8], [8]]
[[8], [3], [8], [8], [7], [8], [3, 3, 3], [], [7], [8], [7], [8], [8], [6], [8], [3, 4], [8], [8], [], [8], [8], [3, 3, 3], [5]]
[[8], [8], [3, 6], [], [8], [], [8], [7], [3, 3, 3], [8], [3, 3, 3], [7], [5], [8], [3], [8], [8], [8], [8], [], [8], [4], [8], [7]]
[[7], [8], [5], [8], [], [8], [8], [3, 4], [], [], [8], [8], [8], [3, 3, 3], [7], [8], [8], [8], [7], [8], [3, 3, 3], [8], [], [], [3, 6]]
[[], [3, 3], [], [3, 3], [7], [8], [8], [6], [7], [8], [8], [8], [8], [5], [8], [8], [3, 3], [8], [4], [8], [8], [7], [], [8], [3, 3], []]
-EndAllocation

Instance: [[1], [155], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8]]
[[], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 7], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [7], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 7], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], []]
[[8], [4, 7], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [7], [4, 4, 4], [8], [8]]
[[8], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [7]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [7]]
[[8], [4, 4], [8], [8], [8], [8], [8], [7], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [], [4, 4], [4, 4]]
[[8], [4, 4], [8], [7], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [8], [], [], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [7], [], [8], [], [4, 4], [8], [8]]
[[], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4], [8], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [7], [], [8]]
[[8], [], [4, 4], [4, 4], [4, 4], [], [], [], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [4], [7], [8], [8], [8], [4, 4], [8]]
[[], [], [4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [], [8], [], [8], [8], [8], [8], [], [8], [4, 4], [8], [7], [8]]
-EndAllocation

Instance: [[1], [154], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 7, 7, 8]]
[[], [7, 7, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 8]]
[[8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [7, 7], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [8, 8, 8], [4, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 7, 7], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8]]
[[], [4, 4, 4, 4], [4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7]]
[[], [8, 8], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 8]]
[[], [4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 4, 4, 4], [7, 7]]
[[8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [7, 7], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [7, 7], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8]]
[[8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4], [4, 7], [4, 7]]
[[8], [4, 4, 4], [7], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [7], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4, 4], [8], [8], [7], [4, 8], [], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [7], [8], [], [8], [4, 4, 4], [8], [], [8]]
[[8], [4, 4], [8], [8], [8], [4], [4, 4], [8], [8], [4, 4], [4, 4], [7], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [], [8], [7], [4, 4], [4, 4], [4, 4], [7], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4]]
[[8], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [4], [8], [8], [8], [8], [4, 4], [4, 4], [7]]
[[8], [4, 4], [], [4, 4], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [7], [8], [8], [8], [7], [4]]
[[8], [8], [8], [], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [7], [8], [7], [8], [4], [], [8], [], [8]]
[[], [8], [8], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [7], [4, 4], [], [8], [4], [4, 4], [7]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [8], [7], [4, 4], [4, 4], [], [], [4], [4, 4], [], [8], [8], [8], [8], [8], [], [8], [7], [8]]
-EndAllocation

Instance: [[1], [153], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8]]
[[2, 6, 7, 7, 7], [4, 4, 5, 5, 8, 8, 8, 8, 8], [3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 6, 6, 6, 6, 6, 6, 6, 6], [3, 3, 6, 6, 6, 8, 8, 8], [4, 4, 5, 5, 7, 7, 7], [8, 8]]
[[6, 6, 6, 6, 6, 8], [2, 4, 4, 6, 7, 7, 7], [5, 5], [3, 3, 6, 6, 6, 6], [6, 8, 8, 8, 8]]
[[6, 6, 6, 7, 7], [6, 8], [2, 5, 5, 6], [6, 6, 6, 6, 6], [8, 8, 8, 8], [3, 3, 4, 4, 6, 7]]
[[6, 6, 6, 6], [6, 6, 6, 6], [6, 7, 7, 7], [2, 8, 8, 8], [4, 4, 5, 5, 6], [3, 3, 8, 8], [6]]
[[5, 6, 6, 6], [2, 6, 6, 6, 6], [3, 3, 5, 6, 6], [7], [8, 8, 8], [6, 7, 7], [6], [4, 4, 8, 8]]
[[6, 7, 8], [3, 6, 6, 6], [3, 6, 6, 6], [2, 7, 8], [6, 8, 8], [6, 8], [5, 5, 7], [6], [4, 4, 6]]
[[6, 6, 6], [6, 6, 6], [4, 4, 5, 8], [6, 6, 8], [7, 8], [5], [8, 8], [2], [6, 6, 6], [3, 3, 7, 7]]
[[6, 6, 6], [6, 8], [6, 6, 6], [8, 8], [2, 6], [3, 3, 5, 5], [7, 7], [6, 6, 6], [], [4, 4, 7], [8, 8]]
[[3, 3, 8], [6, 6], [6, 6], [6, 6], [6, 6], [6, 7], [6, 6], [8, 8], [2, 5, 5], [8, 8], [7, 7], [4, 4]]
[[6, 6], [6, 6], [5, 5, 6], [6, 6], [8, 8], [8, 8], [7, 7], [6, 6], [3, 3, 8], [], [6, 6], [4, 4], [2, 7]]
[[6, 8], [6, 8], [5, 5], [6, 6], [2, 6, 6], [8], [6, 6], [3, 3, 7], [7, 7], [], [4, 4, 6], [8], [8], [6, 6]]
[[6, 8], [6, 6], [6, 6], [6, 6], [6, 6], [5, 7], [6, 8], [6, 8], [2, 4, 4], [8], [], [7, 7], [], [5], [3, 3, 8]]
[[6, 6], [6, 6], [6, 6], [2, 6], [6, 7], [3, 3], [8], [8], [4, 8], [5], [], [4, 8], [6, 6], [5, 8], [7], [6, 7]]
[[6, 6], [6, 6], [6, 6], [8], [5, 6], [2, 8], [8], [], [4, 7], [3, 3, 5], [6, 6], [4, 8], [8], [7], [], [6, 6], [7]]
[[6, 6], [6, 6], [6, 6], [8], [6, 6], [3, 3, 5], [6, 6], [7], [8], [8], [], [8], [], [2, 6], [4, 4], [8], [7], [5, 7]]
[[5, 5], [6, 6], [6, 6], [6, 6], [6, 6], [8], [6], [8], [7], [], [6, 6], [8], [3, 3], [8], [7], [8], [2], [7], [4, 4]]
[[5, 5], [4, 6], [6], [6], [6], [6], [4, 6], [6], [6], [6], [7], [8], [3, 7], [3, 6], [7], [8], [2, 8], [6], [8], [8]]
[[4, 6], [5, 5], [6], [6], [4, 6], [6], [6], [6], [6], [3, 6], [6], [8], [], [6], [7], [8], [8], [7], [8], [2, 8], [3, 7]]
[[3, 6], [6], [2, 6], [6], [6], [3, 6], [6], [6], [6], [8], [8], [6], [8], [4], [8], [7], [8], [4, 5], [6], [7], [5], [7]]
[[6], [6], [6], [6], [6], [6], [3, 6], [6], [7], [5], [8], [8], [3, 6], [7], [4, 4], [5], [8], [8], [6], [8], [2, 6], [7], []]
[[6], [2, 6], [6], [6], [6], [6], [6], [6], [6], [4, 5], [8], [6], [8], [8], [4], [8], [7], [5], [7], [6], [7], [], [8], [3, 3]]
[[6], [3, 6], [6], [3, 6], [6], [6], [6], [6], [6], [7], [5], [8], [8], [7], [], [], [8], [7], [4, 4], [8], [6], [8], [2, 5], [], [6]]
[[6], [6], [6], [6], [6], [6], [2, 6], [6], [6], [3, 5], [6], [4, 4], [8], [8], [], [8], [7], [7], [6], [7], [5], [8], [3], [], [], [8]]
-EndAllocation

Instance: [[1], [152], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [4, 4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 8, 8], [8, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], []]
[[], [8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [8], [8]]
[[], [4, 4], [8], [8], [], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8]]
[[], [8], [], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [4, 4]]
[[], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [8], [], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [151], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,26. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [4, 4, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8]]
[[], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [7, 8, 8]]
[[], [4, 4, 7, 8], [8, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 7]]
[[], [8, 8], [8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 7], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 7], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], []]
[[], [], [8, 8], [7], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [4, 8], [4, 8], [4, 7], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [7]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [8], [4, 4, 4], [7], [8]]
[[8], [], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [4, 4, 4], [7], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [7], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [7], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [7], [8], [8], [8], [8]]
[[7], [4, 4], [8], [8], [], [4, 4], [4, 4], [], [], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8]]
[[], [8], [], [8], [4, 4], [7], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [4, 4]]
[[], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [], [8], [], [4, 4], [7], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [162], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 8], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8], [7, 7, 8, 8, 8]]
[[8], [6, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8], [6, 8, 8], [7, 7], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [7, 7], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 8, 8], [], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3]]
[[], [7, 7, 8], [3, 3, 8, 8], [6, 8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8], [8, 8], [3, 8, 8]]
[[], [3, 8, 8], [8], [3, 8, 8], [3, 8, 8], [3, 8, 8], [8, 8], [6, 8], [8, 8], [7, 7], [3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 6], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [7, 7]]
[[], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8], [8, 8]]
[[], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [6], [7, 7], [3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [6, 8], [8], [8], [3, 3, 8], [7, 7]]
[[8], [8], [8], [8], [8], [6, 8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 3, 3], [7, 7], [8]]
[[8], [3, 8], [8], [8], [8], [3, 8], [6, 7], [8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 3, 7], [3, 8]]
[[8], [8], [7], [3, 8], [7], [8], [8], [8], [3, 8], [3, 8], [3, 6], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [7], [8], [3, 6], [3, 8], [8], [8], [7], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [7], [8], [8], [6], [8], [8], [8], [8], [8], [7], [8], [3, 3], [8]]
[[8], [8], [8], [], [8], [3, 3, 3], [7], [3, 3, 3], [8], [8], [8], [3, 7], [6], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8]]
[[8], [7], [8], [8], [6], [3, 3, 3], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [3], []]
[[8], [8], [], [3, 3, 3], [7], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [7], [3], [6], [8], [8], [], [8], [8]]
[[6], [], [8], [7], [3], [8], [3, 3, 3], [8], [7], [8], [8], [8], [8], [3, 3, 3], [8], [], [8], [3, 3, 3], [], [8], [8], [8], [8], [8]]
[[8], [8], [3, 3, 3], [8], [7], [8], [3, 3, 3], [7], [], [], [8], [8], [8], [8], [], [8], [8], [8], [], [3], [8], [8], [8], [3, 3, 3], [6]]
[[8], [], [3, 3, 3], [], [8], [8], [], [8], [8], [], [8], [8], [8], [3, 3, 3], [8], [7], [8], [8], [3, 6], [8], [3, 3, 3], [7], [8], [], [], [8]]
[[], [3, 3], [8], [7], [8], [], [3, 3], [8], [], [7], [3, 3], [8], [], [8], [3, 3], [3, 3], [8], [8], [8], [8], [8], [8], [8], [6], [8], [], [8]]
-EndAllocation

Instance: [[1], [161], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9, 9, 9, 9, 8], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [6, 7, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 8], [7, 8, 8, 8], [4, 8, 8, 8, 8]]
[[8], [8, 8, 8], [6, 8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8, 8], [7, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [6, 8, 8], [4, 4, 4], [4, 4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7], [8, 8, 8]]
[[8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 6]]
[[], [4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [6, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [4, 4, 8]]
[[], [6], [8, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 7], [8, 8]]
[[], [8, 8], [6, 8], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 7], [], [4, 4, 4]]
[[8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [7], [8], [4, 8], [4, 8], [6, 8], [4, 8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [4, 7], [8], [8], [6, 8]]
[[8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 7], [8], [8], [4, 4], [8], [4, 6], [8], [8], [4, 8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [6], [7], [4, 4, 4]]
[[8], [4, 4, 4], [8], [], [], [4, 4, 4], [4, 8], [8], [4, 6], [8], [4, 8], [8], [8], [8], [8], [8], [4, 7], [4, 4, 4], [8]]
[[8], [8], [8], [], [8], [8], [8], [7], [8], [4, 4, 4], [4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [6], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [6], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [6], [8], [8], [4, 4], [8], [7], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [8]]
[[8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [8], [6], [4, 4], [4, 4], [4, 4], [4], [8], [7], [], [8], [4, 4], [8], [8], [8]]
[[], [4, 4], [8], [7], [], [8], [4, 4], [8], [8], [8], [4], [6], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], []]
[[], [4, 4], [8], [8], [], [8], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [], [4], [8], [4, 4], [8], [8], [6], [8], [8], [], [8], [4, 4]]
[[], [8], [8], [8], [], [8], [], [8], [4, 4], [4, 4], [8], [], [], [8], [4, 4], [8], [7], [4, 4], [8], [4], [8], [8], [8], [4, 4], [6], [4, 4]]
[[8], [7], [8], [], [8], [8], [8], [8], [], [], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [6], [4], [8], [], [], []]
-EndAllocation

Instance: [[1], [160], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8]]
[[8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [8, 8], [], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], []]
[[], [], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [], [], [8], [4, 4], [], [], [8], [8], [8]]
[[], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8]]
-EndAllocation

Instance: [[1], [159], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 7, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 7, 8, 8, 8], [4, 4, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8]]
[[8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 7]]
[[], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 7], [8, 8], [], [8, 8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 7], [4, 8], [8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [7], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [8], [4, 7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [], [], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [7], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [7]]
[[8], [8], [8], [8], [], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [7], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], []]
[[], [], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [7], [8], [8], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [8], [7], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [], [], [8], [4, 4], [], [7], [8], [], [8]]
[[], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [], [], [], [4, 4], [7], [8]]
-EndAllocation

Instance: [[1], [158], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 6, 7, 7, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8]]
[[8], [3, 8, 8, 8, 8, 8, 8], [3, 4, 6, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8]]
[[], [8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [6, 7, 7, 8, 8], [8, 8, 8], [4, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8, 8], [4, 8, 8, 8], [7, 7, 8]]
[[], [8, 8], [3, 3, 4, 8, 8], [6, 7, 7], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8], [4, 7, 7], [6], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [3, 3, 8, 8]]
[[8], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [4, 6, 8], [3, 3, 3, 8]]
[[], [8, 8], [8, 8], [6], [8, 8], [3, 3, 8], [4, 8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 7, 7]]
[[], [8, 8], [3, 6, 8], [8, 8], [3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8], [4, 8], []]
[[], [4, 6], [], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [], [3, 3, 3, 3, 3], [4], [6, 8], [7, 7], [8, 8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [8], [8], [4, 8], [8], [3, 3, 8], [8], [7, 7], [3, 3, 8], [8], [6, 8], [3, 3, 3, 3], [8]]
[[7], [3, 8], [8], [4, 8], [8], [6], [3, 8], [3, 8], [3, 3, 7], [8], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [8]]
[[8], [3, 3, 3, 3], [6, 7], [8], [3, 3, 3, 3], [8], [8], [7], [8], [8], [8], [8], [3, 8], [8], [4, 8], [8], [3, 8]]
[[8], [4, 8], [7], [7], [8], [8], [8], [3, 3, 6], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3]]
[[8], [4, 8], [3, 8], [8], [3, 8], [8], [7], [8], [6], [8], [7], [8], [], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [8], [8]]
[[8], [7], [8], [3, 3, 3], [8], [3, 6], [8], [8], [8], [8], [3, 3, 3], [4], [8], [3, 3, 3], [8], [8], [8], [7], [8], [8]]
[[8], [3], [8], [8], [8], [8], [4], [3, 3, 3], [7], [3, 3, 3], [8], [7], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [6]]
[[8], [8], [8], [8], [], [8], [6], [], [8], [7], [3, 3, 3], [4], [3, 3, 3], [8], [8], [3, 7], [8], [8], [8], [3, 3, 3], [8], [8]]
[[8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [6], [7], [7], [8], [3], [8], [8], [8], [4], [], [3, 3, 3], [8], [8], []]
[[8], [7], [3, 3, 3], [8], [], [8], [8], [3, 3, 3], [4], [8], [8], [8], [8], [], [3, 3, 3], [], [7], [6], [8], [8], [8], [8], [8], [3]]
[[8], [7], [8], [7], [8], [8], [3], [8], [8], [8], [8], [], [], [3, 3, 3], [], [8], [3, 3, 3], [4], [8], [8], [6], [3, 3, 3], [], [8], [8]]
[[8], [8], [8], [], [], [8], [8], [8], [4], [8], [3, 3, 3], [8], [8], [], [8], [8], [6], [], [], [3, 3, 3], [3, 3, 3], [7], [7], [8], [3], [8]]
[[7], [8], [], [], [8], [4], [8], [8], [3, 3], [8], [8], [8], [6], [8], [8], [8], [], [8], [3, 3], [8], [8], [], [], [3, 3], [3, 3], [7], [3, 3]]
-EndAllocation

Instance: [[1], [157], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,27. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,27:
-StartAllocation
[[3, 5, 5, 5, 5, 5, 6, 6, 6, 6], [2, 2, 2, 4, 5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [2, 2, 2, 4, 6, 6, 6, 6, 6, 7, 7, 7, 8], [3, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8]]
[[5], [3, 4, 5, 5, 5, 5, 7, 8, 8], [2, 2, 2, 6, 8, 8, 8, 8, 8], [5, 6, 6, 6, 6, 7, 7, 7]]
[[], [8, 8, 8, 8, 8], [2, 2, 2, 4, 5, 5, 7, 7, 7], [3, 6, 6, 6, 6, 6, 8], [5, 5, 5, 5, 7, 8]]
[[], [8, 8, 8], [5, 5, 5, 5, 5, 5, 6], [7, 7, 7, 7], [4, 8, 8, 8, 8], [2, 2, 2, 3, 6, 6, 6, 6]]
[[], [2, 2, 2, 8, 8, 8], [6, 6, 6, 6], [3, 4, 8], [6, 8, 8, 8], [5, 5, 5, 5, 5, 5], [7, 7, 7, 7]]
[[], [5, 7, 7, 7], [4, 8, 8], [6, 6, 6, 6], [8, 8, 8], [5, 5, 5, 5, 5], [3, 6, 8, 8], [2, 2, 2, 7]]
[[], [8, 8, 8], [5, 5, 7, 7], [], [4, 7, 7], [2, 2, 2, 6, 6, 6], [3, 6, 6, 8], [5, 5, 5, 5], [8, 8, 8]]
[[], [5, 5, 5, 5], [2, 2, 2, 7, 8], [7, 7, 7], [8, 8], [8, 8], [3, 6, 6], [8, 8], [4, 6, 6], [5, 5, 6]]
[[], [2, 2, 8, 8], [8, 8], [5, 5, 6], [7, 8], [7], [4, 8, 8], [2, 6, 6, 6], [5, 5, 5, 5], [6], [3, 7, 7]]
[[], [8, 8], [6, 8], [8, 8], [5, 5, 5], [8, 8], [3], [6, 6, 6], [2, 2, 2, 7], [7, 7], [4, 5, 6], [5, 5, 7]]
[[], [2, 2, 6, 6], [7, 7], [7, 7], [6], [8, 8], [8, 8], [], [8, 8], [2, 5, 5, 5], [5, 5, 5], [3, 8], [4, 6, 6]]
[[], [8, 8], [5, 5, 5], [], [8, 8], [6, 6], [7], [3, 4], [6, 6], [2, 2, 2, 6], [7, 7], [8, 8], [7, 8], [5, 5, 5]]
[[8], [6, 6], [5, 5], [8], [8], [2, 2, 2, 4], [6, 8], [6, 8], [5, 5], [7, 7], [5, 5], [8], [6, 8], [3, 7], [7]]
[[7], [6, 7], [8], [4, 8], [6, 6], [6, 6], [8], [5, 5], [3, 7], [7], [8], [5, 8], [2, 2, 2, 5], [8], [5, 5], [8]]
[[8], [3, 5, 5], [2, 2, 2, 6], [8], [6, 7], [6, 6], [8], [6, 7], [5], [8], [8], [8], [7], [5, 5], [4, 5], [7], [8]]
[[8], [2, 2, 2, 4], [5, 7], [7], [8], [5, 5], [8], [6], [6], [5, 7], [8], [6], [8], [6, 6], [5, 5], [8], [8], [3, 7]]
[[8], [4], [7], [8], [8], [6, 6], [7], [8], [2, 2, 2, 6], [8], [7], [5, 5], [5, 5], [6, 6], [5, 5], [8], [3, 8], [], [7]]
[[8], [7], [7], [8], [2, 2, 2], [6], [6], [8], [8], [7], [6], [4, 6], [5, 5], [3, 6], [7], [8], [8], [5, 5], [8], [5, 5]]
[[8], [2, 2, 2], [5, 5], [6], [8], [6], [4, 6], [3, 7], [7], [], [8], [7], [5, 5], [8], [8], [8], [8], [5, 5], [7], [6], [6]]
[[8], [2, 2, 2], [5, 5], [5], [7], [7], [6], [6], [8], [7], [8], [4, 5], [3], [6], [5, 5], [7], [8], [6], [8], [8], [6], [8]]
[[6], [8], [8], [8], [8], [5], [5], [7], [8], [6], [7], [7], [8], [8], [7], [5], [2, 2, 2], [4, 5], [5], [3, 6], [6], [5], [6]]
[[5], [7], [3], [6], [8], [6], [5], [5], [4, 5], [8], [8], [5], [8], [7], [6], [5], [7], [6], [6], [8], [7], [8], [8], [2, 2, 2]]
[[6], [6], [8], [7], [2, 2, 2], [7], [5], [5], [8], [5], [5], [8], [7], [5], [8], [7], [], [4], [8], [8], [6], [3, 6], [6], [5], [8]]
[[8], [6], [8], [5], [6], [5], [8], [8], [4], [8], [7], [5], [8], [7], [2, 2, 2], [7], [6], [6], [], [3, 5], [5], [6], [7], [8], [], [5]]
[[7], [8], [5], [6], [8], [4], [7], [6], [8], [8], [5], [8], [6], [8], [2, 2, 2], [5], [], [5], [5], [8], [7], [], [6], [3], [6], [7], [5]]
-EndAllocation

Instance: [[1], [168], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8], [4, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], []]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8]]
[[], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8]]
[[], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [], [8], [4, 4], [], [], [8], [8], [8], [], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [], [4, 4], [8], [8], [8]]
[[], [8], [8], [4, 4], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [], []]
-EndAllocation

Instance: [[1], [167], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8], [6, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [3, 6], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [3, 3, 8, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 8, 8], [], [6, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 8, 8], [8, 8], [8, 8], [3, 3, 8, 8], [6, 8, 8]]
[[], [8, 8], [6, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 6], [8, 8], [8], [8, 8], [3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 8], [8, 8], [3, 3, 3, 3, 3], [6, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [3, 3, 3, 6], [8, 8], [8, 8], [8, 8], [], [3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [], [8, 8], [3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 6], []]
[[8], [3, 8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [6, 8], [3, 3, 8], [8], [8], [8], [3, 3, 8]]
[[8], [3, 8], [8], [3, 8], [3, 8], [3, 3, 6], [8], [3, 8], [3, 8], [8], [3, 8], [8], [3, 8], [3, 8], [3, 8], [8], [8]]
[[8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [8], [3, 8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [3, 8], [6]]
[[8], [8], [8], [8], [8], [8], [3, 8], [8], [6], [8], [3, 8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3]]
[[8], [8], [6], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [3, 3], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8]]
[[8], [8], [3, 3, 3], [8], [8], [8], [8], [6], [8], [3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [8], [6], [8], [8], [3, 3], [8], [8], [8], [], [3, 3, 3]]
[[8], [3, 3], [8], [8], [3, 3, 3], [6], [8], [8], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [6], [8], [8], [8], [], [8], [8], [8], [3, 3], [8], [8], [3, 3, 3], [8], [], [], [8]]
[[], [8], [6], [8], [3, 3], [8], [], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [], [8], [], [8], [8], [3, 3, 3], [], [6], [8], [8], [8], [8], [3, 3], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [3, 3, 3], [], [8]]
[[8], [], [3, 3, 3], [8], [], [8], [8], [3, 3, 3], [8], [6], [8], [8], [3, 3, 3], [], [3, 3], [8], [8], [8], [8], [8], [], [], [8], [], [8], [8], [8]]
[[], [8], [8], [3, 3], [3], [6], [8], [8], [3, 3], [8], [8], [], [8], [8], [8], [8], [3, 3], [8], [8], [8], [], [3, 3], [], [8], [8], [8], [3, 3], []]
-EndAllocation

Instance: [[1], [166], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [5, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8], [3, 5, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [3, 3, 5, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [3, 3, 3, 8, 8], [], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [5, 8, 8]]
[[], [8, 8], [3, 3, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 8, 8], [8, 8], [8, 8], [5, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [5, 8, 8], [8, 8], [3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8], [8, 8], [8, 8], [8, 8], [5, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [], [8, 8], [5, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [], [3, 5, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [], [8, 8], [3, 3, 3], [8, 8], [3, 3, 3, 5], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], []]
[[8], [3, 8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [5, 8], [8], [3, 3, 8], [8], [8], [8], [3, 3, 8]]
[[8], [3, 8], [8], [8], [8], [3, 8], [8], [5, 8], [3, 8], [3, 3, 3, 3], [3, 8], [8], [3, 8], [3, 8], [3, 8], [8], [8]]
[[8], [8], [3, 8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [8], [5, 8], [3, 8], [8]]
[[8], [8], [8], [8], [8], [8], [3, 8], [8], [8], [8], [3, 8], [3, 3, 3, 3], [8], [8], [5], [8], [3, 8], [8], [3, 3, 3, 3]]
[[], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 5], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8]]
[[8], [8], [3, 5], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [3], [3, 3, 3], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [5], [8], [8], [8], [8], [8], [8], [8], [3, 3], [8], [8], [8], [], [3, 3, 3]]
[[8], [3, 3], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [5], [], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [3, 5], [8], [8], [8], [8], [], [8], [8], [8], [3], [8], [8], [3, 3, 3], [8], [], [], [8]]
[[], [8], [8], [3], [3, 5], [8], [], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [], [8], [], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [8], [3, 3], [8], [8], [8], [5], [8], [], [8], [3, 3, 3], [8], [3, 3, 3], [], [8]]
[[8], [], [3, 3, 3], [8], [], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [5], [3, 3], [8], [8], [8], [8], [8], [], [], [], [], [8], [8], [8]]
[[], [8], [8], [3, 3], [3, 3], [8], [8], [8], [3, 3], [8], [8], [], [8], [8], [8], [8], [3, 3], [8], [8], [8], [], [3, 5], [], [], [8], [8], [3, 3], []]
-EndAllocation

Instance: [[1], [165], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 7, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 6, 7]]
[[], [8, 8, 8, 8], [6], [4, 4, 4, 4, 4, 4, 8], [7, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 8]]
[[], [], [8, 8, 8], [4, 4, 6, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [6, 7, 8], [4, 4, 4, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 7], [4, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [6, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 6], [8, 8], [8, 8], [8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [6, 7], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [6], [8, 8], [4, 4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 6], [4, 8], [8]]
[[8], [4, 4, 4], [8], [7], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8], [6, 8], [4, 8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [6], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 7], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 7], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 6], [8]]
[[8], [4, 8], [8], [8], [7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [6], [4, 8], [8], [], [8], [4, 4, 4], [8]]
[[8], [], [4, 8], [4, 4], [8], [7], [8], [8], [4, 8], [8], [8], [8], [6], [], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4], [4, 6], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8]]
[[8], [4, 4], [7], [8], [4, 6], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [], [4, 4], [8], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [6], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [6], [], [4, 4], [8], [4, 4], [4, 4], [8], [7], [8], [], [4, 4], [4, 4], [8]]
[[], [6], [], [8], [7], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [], [8], [], [8], [8], [], [6], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [], [4, 4], [8], [], [8], [8]]
[[7], [8], [4, 4], [8], [8], [], [], [], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [], [6], [8]]
[[8], [8], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [6], [7], [], [4, 4], [], [4, 4], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], []]
-EndAllocation

Instance: [[1], [164], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4], [4, 4, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [8], [4, 8], []]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8]]
[[8], [8], [4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8]]
[[8], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4], [8], [4, 4], [], [8], [8], [4, 4], [8], []]
[[8], [8], [8], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [4], [4, 4], [8], [4, 4], [], [], [8], [8]]
[[], [8], [4, 4], [8], [], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4], [8], [], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [163], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,28. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [4, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [4, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8, 8], [8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8], [], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 7, 8]]
[[], [4, 4, 4, 7], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4], [4, 4, 7], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 7], [4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 7], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 7], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7], [8], [4, 8], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [], [8], [4, 8], []]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [7], [4], [4, 4], [8], [8], [8], [8], [8]]
[[], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [4, 4], [7], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [4, 4], [7], [4], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [8], [4], [4, 4], [8], [4, 4], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], []]
[[8], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4], [8], [4, 4], [], [8], [8], [4, 4], [7], []]
[[8], [8], [7], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [4, 4], [7], [], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8]]
[[], [8], [4, 4], [], [], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [4], [4, 4], [8], [4, 4], [], [], [7], [8], [8]]
-EndAllocation

Instance: [[1], [174], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8, 8], [4, 6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 6, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8, 8]]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 6]]
[[], [8, 8, 8], [4, 4, 6, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4], [8, 8, 8], [6]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8], [4, 6, 8], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8]]
[[], [6, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4], [8], [8, 8], [4, 4, 4, 4], [6, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 6], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 6]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 6], [8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 6], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [6], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [6], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [], [6], [8], [], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 6], [4, 4], [8], [4, 4], [8], [8], [8], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [6], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4], [8], [], [8], [], [4, 6], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8]]
[[], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [6], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[6], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [8], [6], [8]]
[[8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [6], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [], [], [], [8], [], [4, 4], [], [4, 4], [6]]
-EndAllocation

Instance: [[1], [173], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 7, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 8, 8]]
[[], [3, 3, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 5, 8, 8], [4, 7, 7, 8, 8, 8], [3, 3, 8, 8, 8, 8, 8]]
[[], [4, 5, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [7, 7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 8, 8, 8], [5, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8], [8, 8, 8, 8]]
[[], [4, 7, 7, 8], [8, 8, 8], [3, 5, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [3, 3, 8, 8], [5, 7, 7], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8], [4, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [4, 5, 8], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8], [3, 3], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 4, 8], [8, 8], [8, 8], [7, 7], [3, 3, 3, 3, 3, 3, 3], [5, 8, 8]]
[[], [8, 8], [3, 3, 4], [7, 7], [3, 3, 3, 3, 3, 3], [3, 8, 8], [8, 8], [8, 8], [8, 8], [5, 8], [8, 8], [3, 8, 8]]
[[], [5, 8], [8, 8], [3, 3, 3, 4], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 7, 7], [8, 8], [], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [7, 7], [4, 8], [3, 3, 3, 3, 3], [8, 8], [5], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [8, 8], [8], [4], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 7], [3, 3, 3, 3, 3], [], [8, 8], [5]]
[[8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [7, 7], [8], [5, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [4, 8]]
[[8], [3, 3, 8], [8], [3, 3, 8], [8], [4, 8], [8], [3, 3, 8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [7, 7], [5, 8]]
[[7], [8], [8], [4, 8], [3, 8], [3, 8], [3, 8], [7], [8], [5, 8], [3, 3, 3, 3], [3, 8], [8], [3, 8], [8], [3, 8], [8], [8]]
[[8], [8], [8], [8], [4, 7], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3, 7], [8], [8], [8], [8], [5, 8]]
[[8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [7], [3, 8], [8], [4, 8], [8], [8], [3, 3, 3, 3], [7], [8], [8], [5], [8], [8]]
[[8], [8], [8], [5], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [8], [4, 8], [8], [8], [7], [7], [8], [3, 3], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 7], [8], [4], [5], [3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 7], [8], [], [8], [7], [8], [8], [3, 3, 3], [3, 3, 3], [5], [8], [8], [4], [3, 3, 3], [8], [8], [8], [8]]
[[8], [8], [3, 3, 3], [], [3, 3, 3], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [7], [8], [4], [8], [8], [7], [3, 5], [8]]
[[], [5], [8], [8], [3, 3, 3], [7], [8], [8], [3, 3, 3], [8], [8], [3, 4], [8], [3, 3, 3], [8], [8], [8], [], [7], [8], [8], [], [8], [8], [8]]
[[8], [3, 3, 3], [8], [5], [], [7], [3], [8], [8], [8], [3, 3, 3], [8], [], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [4], [8], [8], [7], [8]]
[[8], [8], [8], [7], [8], [4], [3, 3, 3], [8], [8], [], [], [8], [8], [3, 3, 3], [8], [8], [5], [8], [], [8], [3, 3, 3], [8], [8], [3], [8], [7], []]
[[7], [8], [], [3, 3, 3], [8], [8], [8], [], [7], [8], [8], [8], [5], [8], [8], [8], [3, 3, 3], [], [3], [], [], [8], [3, 3, 3], [8], [8], [8], [8], [4]]
[[8], [8], [8], [], [7], [8], [4], [8], [8], [3, 3], [8], [8], [8], [5], [8], [3, 3], [], [8], [8], [3, 3], [], [], [8], [7], [], [8], [3, 3], [3, 3], [8]]
-EndAllocation

Instance: [[1], [172], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8], []]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4], [4, 8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], []]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8]]
[[], [4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [8], [8], [8], [4], [8], [4, 4], [4, 4], [], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [8], [4], [8]]
[[8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [4], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [], [], [], [8], [], [4], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [171], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8, 8], [4, 4, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 7, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 8], [7, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8], []]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [7], [4, 8, 8], [8, 8], [4, 8, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [4], [4, 8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [7, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [7, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], []]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 7], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 7], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 7], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7], [4, 4, 4], [8], [8], [8], [8]]
[[8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [7], [4, 4, 4], [4, 8], [8], [], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [7], [4, 4], [8], [4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [7], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [7], [4, 4], [8]]
[[], [4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [7], [8], [4, 4], [], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [8], [8], [8], [4], [8], [4, 4], [4, 4], [], [7], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [4, 4], [4], [8], [8], [], [8], [7], [8]]
[[8], [], [4, 4], [8], [8], [8], [8], [4], [7], [], [4, 4], [8], [4, 4], [8], [], [], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [], [], [], [7], [], [4], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [170], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8], [4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 6], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [6, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 8, 8], [8, 8], [8], [4, 4, 4, 6], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4]]
[[], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], []]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 6], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 6], [4, 8], [8, 8], [8, 8]]
[[8], [8], [8], [8], [4, 8], [4, 8], [6, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8]]
[[8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 6], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [4, 6], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8]]
[[8], [8], [4, 8], [], [4, 8], [8], [8], [4, 4, 4], [6], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 8], [], [4, 8], [8], [4, 8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [4, 4, 4], [4, 6]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [6], [], [4, 4, 4]]
[[8], [8], [4, 4], [8], [4], [8], [6], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 6], [8], [4, 4], [], [4, 4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [4], [8], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [4], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [6], [], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [6], [8], [4, 4], [8], [4, 4], [8], [8], [4], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [], [8], [8], [], [8]]
[[8], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [], [4], [4, 4], [], [8], [8], [6], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [], [8], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], [4], [6], [8], [4, 4], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [6], [], [4, 4], [4, 4], [], [8], [], [4, 4], [4], [8], [8], [8], [4, 4], [8], [], [8], [], [], [8], [], [4, 4], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [169], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,29. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 7, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8, 8], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 7], [4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 6], [4, 4, 4, 7], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8]]
[[], [8, 8], [6, 7, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 8, 8], [8, 8], [8], [4, 4, 4, 6], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 4, 4], [4]]
[[], [4, 4, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [6, 8], [8, 8], [4, 4, 7], [8, 8], [8, 8], [8, 8], []]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 6], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 8]]
[[], [4, 4, 4, 4], [4, 4, 7], [8, 8], [], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 6], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [8], [8], [4, 8], [4, 8], [6, 8], [4, 4, 4], [4, 8], [4, 7], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8]]
[[8], [8], [8], [8], [8], [4, 7], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 6], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [4, 6], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [7], [8], [4, 8], [8]]
[[8], [8], [4, 8], [], [4, 8], [8], [8], [4, 4, 4], [6], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [], [4, 4, 4], [4, 7], [8]]
[[8], [4, 4, 4], [4, 8], [], [4, 8], [8], [4, 8], [8], [], [8], [8], [8], [7], [4, 4, 4], [8], [8], [8], [4, 4], [4, 4, 4], [4, 6]]
[[8], [8], [], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 7], [], [4, 8], [4, 4, 4], [4, 4, 4], [6], [], [4, 4, 4]]
[[8], [8], [4, 4], [8], [4, 4], [8], [6], [8], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 6], [8], [4, 4], [7], [4, 4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [7], [4, 4], [4], [8], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [4], [], [8], [4, 4], [8], [4, 4], [7], [8], [], [8], [4, 4], [6], [], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [6], [8], [4, 4], [8], [7], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [], [8], [8], [], [4]]
[[8], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [], [4], [4, 4], [], [8], [8], [6], [4, 4], [8], [4, 4], [7], [8], [8], [8], [], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [], [7], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], [4], [6], [8], [4, 4], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [6], [], [4, 4], [4, 4], [], [8], [], [4, 4], [4], [8], [8], [7], [4, 4], [8], [], [8], [], [], [8], [], [4, 4], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [180], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8]]
[[], [4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [8], [8]]
[[8], [8], [4, 8], [8], [4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [4, 8], [8], [], [4, 4, 4], [4, 8], [8], []]
[[8], [8], [8], [4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [4, 4], [8], [8], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [], [8], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [4, 4], [4], [8], [8], [4, 4], [8], [], [8], [8], []]
[[], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [], [], [8], [8], [], [8], [8], [], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [179], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [7, 8], [4, 4, 4, 4], [], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [7], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 7], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [8], [8]]
[[8], [7], [4, 8], [8], [4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [4, 8], [8], [], [4, 4, 4], [4, 8], [8], []]
[[8], [8], [8], [4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [4, 4], [8], [7], [8]]
[[7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8]]
[[], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [], [8], [4], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [], [8], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [7], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [], [8], [4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [4, 4], [7], [8], [8], [4, 4], [8], [], [8], [8], []]
[[], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [], [], [8], [8], [], [8], [8], [7], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [178], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8]]
[[], [4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8], [6, 8, 8]]
[[], [6, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [6], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6], [8, 8], [4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [], [6], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 6], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [6], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [6], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [8], [8]]
[[8], [8], [4, 8], [8], [4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [], [4, 8], [8], [], [4, 4, 4], [4, 8], [8], [6]]
[[8], [8], [8], [4, 4], [4, 4], [4, 6], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [4, 4], [6], [8], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [6], [8], [8], [8], [8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4], [8], [4, 4], [6], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [], [8], [4], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [], [6], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [], [6], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [4, 4], [4], [8], [8], [4, 4], [8], [6], [8], [8], []]
[[], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [], [], [6], [8], [], [8], [8], [], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [177], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [7, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8]]
[[], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [6, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8], [6, 8, 8]]
[[], [6, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [6], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [6, 7], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [7, 8], [4, 4, 4, 4], [], [], [6], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [7], [8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 7], [8], [4, 6], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [7], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [6], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 7], [8], [4, 4, 4], [8], [4, 4, 4], [6], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], []]
[[8], [8], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [8], [8]]
[[8], [7], [4, 8], [8], [4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [], [4, 8], [8], [], [4, 4, 4], [4, 8], [8], [6]]
[[], [8], [8], [4, 4], [4, 4], [4, 6], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [4, 4], [6], [7], [8]]
[[7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [6], [8], [8], [8], [8], [4], [], [4, 4], [8], [4, 4], [4, 4], [8]]
[[], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4], [8], [4, 4], [6], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [], [4, 4], [8], [8], [4, 4]]
[[8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [], [6], [8], [7], [], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [], [6], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [7], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [], [8], [4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [], [8], [4, 4], [7], [8], [8], [4, 4], [8], [6], [8], [8], []]
[[], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [], [], [6], [8], [], [8], [8], [7], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [176], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8]]
[[], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8]]
[[8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8]]
[[], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4]]
[[], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [], [8], [8], [], [8], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [], [], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [175], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,30. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8], [4, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8], [4, 4], [4, 8, 8, 8], [4, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [7, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 7], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 7], []]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [8, 8], [4, 4, 4, 4], [7], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [7], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [7], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [7], [4, 4, 4]]
[[8], [4, 7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[7], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], []]
[[8], [8], [8], [], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [7], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7], [], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[], [8], [7], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [8]]
[[8], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [4, 4], [], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8]]
[[8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [7], [], [8], [8], [8], [8], [8]]
[[8], [], [4, 4], [8], [], [], [], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [7], [8], [4, 4], [4, 4]]
[[8], [8], [], [8], [], [4, 4], [4, 4], [4, 4], [], [7], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [], [8], [8], [], [8]]
[[], [8], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [7], [], [8], [], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [186], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8], [], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 7, 7], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8]]
[[8], [7, 7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [7, 7], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [7, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 7, 7], [4, 4, 8], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4]]
[[], [], [8, 8], [8, 8], [8, 8], [], [7, 7], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [7, 7], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [7, 7], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 7], [4, 4, 4], [8], [7], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [7], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [7], [4, 4, 4]]
[[8], [8], [4, 4, 4], [], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [7], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [], [4, 8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4, 4], [8], [], [4, 4, 4]]
[[7], [8], [8], [4, 4], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [7], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[7], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [7], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [8]]
[[], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [4, 4], [4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [7], []]
[[8], [4, 4], [8], [8], [], [8], [4, 4], [7], [8], [4, 4], [8], [8], [], [], [4, 4], [8], [8], [8], [4], [4, 4], [8], [4, 4], [7], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [], [7], [8], [8], [8], [8], [8], [4, 4], [4], [7], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], []]
[[], [4, 4], [8], [], [8], [4, 4], [], [8], [7], [8], [7], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4], [], [4, 4], [8], [8], []]
[[], [8], [4, 4], [8], [7], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [], [8], [4], [4, 4], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [], [4, 4]]
[[], [], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4], [8], [8], [8], [8], [7], [8], [4, 4], [7], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8]]
-EndAllocation

Instance: [[1], [185], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 6, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8], [7], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [4, 4, 4, 4, 6], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [6, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 7], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 6], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8], [], [4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 6], [8, 8], [7, 8]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [6, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4], [7, 8], [8, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [6, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 7], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [4, 8], [4, 4, 4], [8], [7], [8], [4, 8]]
[[8], [8], [4, 8], [4, 4, 4], [7], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 6], [8], [8], [8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [4, 7], [4, 8], [8], [6], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [8]]
[[8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [6]]
[[8], [8], [7], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4], [4, 4, 4], [6], [8], [], [], [8], [8], [8]]
[[8], [7], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [4, 6], [8], [8], [8], [4, 4], [4, 4]]
[[7], [8], [6], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [7], [8], [8], [8], [8], [4, 4], [8], [8], [4], [6], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8]]
[[8], [8], [8], [8], [8], [7], [4, 4], [], [8], [4, 4], [8], [8], [4], [6], [4, 4], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [6], [8], [8], [8], [8], [], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4], [8], [8], [], [], [], [4, 4], [4, 4]]
[[], [4, 4], [8], [], [7], [8], [8], [4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [6], [8], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [], [], [7], [], [4, 4], [8], [4, 4], [4], [8], [], [8], [6], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [], [], [], [4, 4], [8], [], [4], [8], [4, 4], [8], [], [8], [4, 4], [8], [6], [8], [4, 4], [7], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [184], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [6, 6, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [6, 6, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 8, 8, 8]]
[[], [3, 3, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8], [3, 3, 3, 3, 6, 6]]
[[8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [6, 6, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [8, 8], [6, 6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 6, 6], [], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [6, 6], [8], [8, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [], [6, 6], [3, 3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8]]
[[], [], [6, 6], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [3, 3, 8]]
[[8], [8], [8], [3, 3, 8], [8], [6, 8], [8], [6, 8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [8]]
[[8], [3, 3, 8], [8], [8], [6, 8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [8], [3, 3, 8], [8], [6, 8], [8], [8], [3, 3, 3, 3], [8]]
[[8], [8], [8], [8], [3, 8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [8], [3, 8], [6, 6], [3, 8], [3, 8], [3, 8], [8], [3, 8], [8]]
[[8], [8], [8], [3, 8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 8], [8], [6, 6], [8]]
[[8], [3, 3, 3], [6, 6], [8], [8], [8], [8], [3, 3, 3, 3], [3, 8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [3, 3, 3, 3], [6, 6], [8], [8], [8], [8], [8], [8], [3, 8], [8], [8], [8], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [3, 3, 3, 3]]
[[6], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [6], [8], [8], [8]]
[[8], [8], [], [8], [3, 3, 3], [6], [8], [8], [6], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8]]
[[8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [6], [6], [8], [8], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [], [3, 3, 3], [8]]
[[8], [8], [6], [8], [8], [], [8], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [6], [8], [8], [3, 3, 3], [8], [8], [], [8]]
[[8], [3, 3, 3], [3, 3, 3], [], [], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [6], [8], [8], [8], [6], [3, 3, 3]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [], [8], [8], [6], [3, 3, 3], [6], [8], [8], [8], [8], [], [], [8], [], [3, 3, 3]]
[[8], [8], [3, 3, 3], [3, 3, 3], [8], [], [8], [], [8], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [6], [8], [3, 3, 3], [8], [8], [6], [8], [], [8], [], [], [8]]
[[8], [], [8], [8], [8], [8], [6], [8], [8], [], [], [3, 3, 3], [3, 3], [8], [3, 3, 3], [8], [8], [], [3, 3, 3], [8], [], [], [8], [8], [], [8], [3, 6], [8], [8], [8]]
[[8], [8], [8], [6], [8], [], [8], [8], [3, 3], [8], [3, 3], [3, 3], [8], [8], [], [3, 3], [8], [8], [], [8], [8], [8], [], [3, 3], [3, 3], [6], [], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [183], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8]]
[[8], [4, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8]]
[[], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [7, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[7], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4]]
[[8], [4, 4, 4, 4, 4], [7, 8], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [7, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8], [4, 7, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [7, 8]]
[[], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [7, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 7]]
[[8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 7], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 7], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [7], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [7], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [7], [8], [4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [7], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [7], [4, 4]]
[[], [4, 4], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [], [8], [7], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [4, 4], [7], [4, 4], [8], [], [], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [], [8], [], [7], [], [4, 4], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [], [4, 4], [8], [8], [8], [4, 4]]
[[8], [8], [8], [], [8], [], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [4, 4], [8], [4, 4], [], [], [8], [], [4, 4], [], [8], [8], [8], [], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [182], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 7, 7, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [4, 8, 8, 8], [], [4, 8, 8, 8]]
[[], [7, 7, 8], [], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7, 7, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [4, 8, 8], [8, 8], [7, 7], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 7], [8, 8], [8], [8, 8]]
[[], [8, 8], [8, 8], [], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [7, 7], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], []]
[[], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [7, 7], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [7, 7], [4, 4, 4], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [7, 7], [8], [4, 8]]
[[8], [4, 8], [7], [7], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [7], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [4, 8], [8], [], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [], [8], [4, 4, 4], [7], [7], [4, 4, 4], [8], [8], [8]]
[[], [4, 8], [8], [8], [8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [7], [8], [4, 4], [4, 4], [8], [7], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [7], [8], []]
[[8], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [7], [4, 4], [], [8], [4, 4], [], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [], [7], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4]]
[[], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [7], [8], [7], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [4, 4], [8]]
[[8], [8], [], [], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [7], [4, 4], [8], [8], [4, 4], [7], [8], [4, 4]]
[[8], [4, 4], [7], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [], [7], [4, 4], [8], [8], [8], [], [8], [], [8], []]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [], [8], [], [], [7], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [7], [], [4, 4]]
[[7], [4, 4], [8], [], [4, 4], [7], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [8], [], [], [], [4, 4]]
-EndAllocation

Instance: [[1], [181], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,31. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8], [3, 3, 3, 3, 3, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6], [3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [3, 3, 3, 3, 6, 6, 6, 6, 8, 8, 8], [5, 5, 5, 5, 5, 5, 7, 7, 7, 7], [3, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 4, 6, 6, 6, 6], [5, 5, 5, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8]]
[[], [4, 5, 6, 6], [6, 6, 7, 7, 7, 7], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [6, 6, 6, 7, 7], [5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 4, 7, 8], [8, 8, 8, 8], [6, 7, 8]]
[[], [3, 3, 3, 3, 3, 7, 7], [6, 8, 8, 8], [7, 7], [6, 6, 6, 8], [4, 8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 5, 5]]
[[], [7, 7, 7, 7], [4, 8, 8, 8], [3, 3, 3, 3, 8, 8], [6, 6, 6, 6], [5, 5, 5, 5, 5], [5, 8, 8], [3], [8, 8, 8]]
[[], [5, 6, 7, 7], [], [6, 8], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 5], [6, 7, 7], [3, 3, 3, 3, 3, 4, 6], [8, 8, 8]]
[[], [4, 8, 8], [6, 8, 8], [7], [5, 5, 5, 5], [5, 7, 7], [8, 8], [8, 8], [6, 6, 6], [3, 3, 3, 3, 3, 7], [5, 8, 8]]
[[], [5, 5, 6], [8, 8], [5, 5, 5, 5], [3, 3, 3, 3, 3], [4, 8, 8], [7, 7], [7, 7], [8, 8], [8, 8], [6, 6, 6], [8, 8]]
[[], [3, 5, 5, 5], [8, 8], [7, 8], [4, 8], [8, 8], [8, 8], [6, 6, 6], [5, 5, 5], [7, 7], [3, 3, 3, 3], [6, 7], [8, 8]]
[[], [8, 8], [8, 8], [5, 5, 5], [7, 7], [6, 6], [8, 8], [3, 3, 3, 3], [8, 8], [5, 6, 6], [5, 5], [3, 4], [8, 8], [7, 7]]
[[], [], [7, 7], [8, 8], [6, 6], [3, 3, 3, 3, 3], [5, 5, 5], [8, 8], [8, 8], [8, 8], [6, 8], [4, 6], [7, 7], [5, 5, 5], [8]]
[[], [3, 3, 3, 3], [8, 8], [7, 7], [5, 5, 5], [4, 8], [8, 8], [8, 8], [3, 8], [7, 7], [], [], [6, 6], [6, 6], [5, 5, 5], [8, 8]]
[[8], [8], [6, 8], [8], [8], [8], [5, 5], [3, 8], [5, 5], [3, 3, 3, 3], [8], [7, 7], [6, 8], [7, 7], [5, 5], [4, 6], [6, 8]]
[[8], [5, 5], [4, 8], [5, 5], [3, 5, 6], [], [8], [6, 8], [8], [8], [7, 7], [8], [8], [8], [3, 3, 3, 3], [7, 7], [6, 6], [5, 8]]
[[8], [5, 5], [7], [5, 7], [5, 6], [8], [4, 8], [3, 8], [8], [6, 6], [5, 8], [8], [6, 7], [5, 8], [7], [8], [8], [3, 3, 3, 3], []]
[[7], [5, 8], [8], [3, 8], [8], [7], [5, 5], [6], [6], [5, 5], [4, 7], [8], [5, 7], [8], [8], [8], [8], [6, 6], [3, 3, 3, 3], [8]]
[[8], [6], [8], [5, 5], [7], [3, 3, 3, 3], [8], [8], [5, 5], [8], [7], [8], [6], [8], [3, 4, 5], [7], [5, 7], [8], [8], [8], [6, 6]]
[[], [8], [3, 8], [7], [5, 5], [8], [7], [8], [8], [8], [7], [3, 7], [5, 5], [3, 8], [3, 3, 4], [5, 5], [8], [6, 6], [], [8], [8], [6, 6]]
[[6], [8], [8], [8], [3, 7], [6], [8], [4, 5], [3, 6], [8], [5], [7], [7], [6], [5, 5], [8], [7], [3, 3, 3], [8], [8], [5, 5], [8], [8]]
[[8], [8], [5, 5], [8], [7], [3, 3, 3], [4], [5, 5], [8], [6], [7], [8], [6], [7], [8], [8], [3, 5], [3, 6], [8], [6], [5], [7], [8], [8]]
[[8], [7], [7], [6], [8], [5], [3, 3, 3], [8], [6], [6], [8], [5, 5], [8], [8], [8], [7], [4, 5], [], [6], [8], [7], [8], [5, 5], [8], [3, 3]]
[[8], [7], [5], [7], [5], [5], [6], [4], [5], [7], [3, 3, 3], [8], [5], [5], [8], [8], [8], [3, 6], [8], [8], [8], [7], [8], [6], [3, 6], [8]]
[[8], [8], [6], [4, 5], [8], [8], [5], [8], [6], [8], [6], [7], [7], [7], [5], [5], [5], [3, 3, 3], [8], [7], [8], [5], [], [8], [3, 3], [6], [8]]
[[8], [8], [5], [], [4, 5], [], [7], [6], [5], [6], [8], [5], [8], [5], [8], [3], [7], [6], [6], [3, 3, 3], [7], [8], [8], [8], [3, 5], [7], [8], [8]]
[[8], [5], [7], [8], [5], [7], [8], [8], [5], [4], [3], [6], [8], [7], [8], [8], [8], [5], [], [7], [], [8], [8], [3, 6], [3, 3, 3], [5], [6], [5], [6]]
[[8], [3, 3, 3], [3, 3], [8], [5], [8], [8], [6], [8], [8], [], [5], [], [4, 5], [5], [5], [8], [], [], [7], [8], [8], [6], [7], [5], [8], [7], [7], [6], [6]]
[[7], [], [8], [3, 3], [5], [7], [8], [8], [6], [5], [4], [5], [7], [3, 3], [8], [], [5], [8], [7], [], [8], [8], [8], [8], [5], [8], [3], [6], [6], [5], [6]]
-EndAllocation

Instance: [[1], [192], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [], [8], [4, 4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [8], [], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [], [], [], [], [4, 4], []]
[[8], [], [8], [4, 4], [8], [], [8], [], [], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [], [8], [8]]
[[8], [8], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [], [], [8], [], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], []]
-EndAllocation

Instance: [[1], [191], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [8, 8, 8], [7, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8], [7, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7, 8]]
[[], [7], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [7], [8, 8], [], [8, 8], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [4, 7]]
[[8], [4, 7], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 7], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [7]]
[[8], [8], [4, 4, 4], [4, 8], [], [4, 4], [8], [4, 7], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [7], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [], [8], [4, 4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [7], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [7], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [], [8]]
[[], [8], [], [4, 4], [], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [7], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [], [], [], [], [4, 4], []]
[[7], [], [8], [4, 4], [8], [], [8], [], [], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [], [8], [8]]
[[], [8], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [7], [4, 4], [8], [4, 4], [8], [8], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], []]
-EndAllocation

Instance: [[1], [190], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [6], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 8], []]
[[], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [6], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 6, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [6, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], []]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [6, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 4, 6], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 6], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8]]
[[8], [8], [6], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8]]
[[8], [6], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [6], [8], [8], [8], [8], [4, 8], [], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [6], [8], [4, 4, 4], [8], [], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8]]
[[8], [4], [4, 4], [8], [8], [8], [4, 6], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [6], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [6], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [8], [8], [8], [8], [6], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], []]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [6], [8], [8], [4, 4], [], [], [4, 4], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [6], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4]]
[[8], [8], [4, 4], [], [], [], [8], [4, 4], [4, 4], [6], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [], [8]]
[[], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [], [6], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [], [8], [], [], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [6], [8], [8], [], [8], [4, 4], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [189], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 8], [3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [7, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 7, 8], [8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [3, 8, 8, 8, 8], [6, 8], [4, 4, 4, 4, 4, 8, 8], [3, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 8]]
[[], [6, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 7, 8, 8]]
[[], [8, 8, 8], [3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3], [3, 3, 3, 7, 8], [6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [7, 8, 8]]
[[8], [6, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [3, 3, 3, 3, 3, 4], [3, 3, 3, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [], [3, 6, 8], [4, 8, 8], [8, 8], [3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [6, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 8], [3, 3], [8]]
[[], [], [8, 8], [8, 8], [8, 8], [4, 4, 8], [3, 3, 3, 8], [3, 3, 3, 3, 3], [8, 8], [7, 8], [], [8, 8], [6, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [], [6, 7], [8, 8], [3, 3, 3], [], [8, 8], [4, 4, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [8, 8], [], [8], [], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [6, 8], [8, 8], [4, 4, 8], []]
[[8], [8], [3, 3, 8], [7], [4, 4, 4], [3, 3, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [8], [3, 3, 8], [8], [6, 8], [3, 3, 8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [6, 7], [3, 8], [8], [4, 8], [8], [8], [3, 8], [8], [3, 8], [4, 8], [3, 3, 3, 3], [3, 8], [4, 8]]
[[8], [8], [8], [8], [6, 7], [8], [4, 8], [8], [4, 8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [6], [8], [8], [3, 3, 3], [4, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [4, 8], [8], [8], [8], [8], [7], [4, 8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [6], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [7], [8], [4, 4, 4], [8]]
[[7], [8], [8], [8], [3, 3, 3, 3], [3, 3, 6], [4, 4, 4], [8], [8], [8], [3, 3], [8], [8], [4, 4, 4], [8], [8], [8], [], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [6], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [3, 3, 4], [8], [8], [4], [8], [7], [8], [8], [8], [4, 4], [8]]
[[6], [8], [8], [8], [8], [7], [8], [8], [8], [3, 3, 3], [3, 3, 3], [4, 4], [8], [8], [], [8], [8], [8], [3, 3], [8], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [6], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [4, 4], [8], [8], [8], [], [7], [3, 3], [8], [4, 4], [8], [8], [8], [8], [], [4, 4]]
[[8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [3, 3, 3], [4, 4], [8], [8], [8], [8], [3, 3, 3], [], [8], [7], [], [4, 4], [8], [8], [3, 6], [8], [3]]
[[8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [3, 3, 3], [8], [], [8], [8], [6], [8], [4, 4], [8], [7], [], [3, 3, 3], [8], [8], [8], [], [8], [8], [3, 3]]
[[8], [4, 4], [4, 4], [3, 3], [], [], [8], [8], [8], [7], [8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [4, 4], [], [6], [8], [8], [], [8], [8], [8], [8], [], [8]]
[[8], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [3, 3, 3], [8], [8], [8], [4, 4], [8], [], [8], [3, 3], [8], [], [], [8], [8], [7], [3, 3, 3], [8], [6], [8], [], [8]]
[[8], [8], [8], [], [8], [4, 4], [3, 3, 3], [8], [8], [8], [3], [], [7], [8], [8], [8], [], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [], [3, 6], [3, 3, 3], [8], [], [8]]
[[8], [8], [4, 4], [8], [6], [], [8], [8], [4, 4], [8], [8], [], [], [], [8], [], [3, 3], [8], [8], [8], [], [], [3, 3], [8], [8], [8], [8], [3, 3], [7], [3, 3], [8], [4, 4]]
-EndAllocation

Instance: [[1], [188], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8]]
[[8, 8], [7, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 7, 8, 8], [8, 8, 8, 8, 8]]
[[], [3, 8, 8, 8, 8], [3, 8, 8, 8, 8], [6, 8], [3, 8, 8, 8, 8], [3, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 7]]
[[], [6, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 8, 8], [7, 8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [7, 8, 8], [6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 8], [], [8, 8, 8], [7, 8, 8]]
[[8], [6, 8], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [3, 3, 3, 3, 6], [8, 8], [8, 8], [3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 7, 8], [8, 8], [3, 8, 8]]
[[], [8, 8], [6, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [3, 8], [8, 8], [3, 3, 3, 3, 3, 3], []]
[[], [], [8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [7, 8], [3, 3, 3], [8, 8], [6, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [], [6, 7], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3], [8, 8], [8, 8], [8, 8], [8], [8, 8], [], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3], [8], [8, 8], [], [8, 8], [8, 8], [7, 8], [], [6, 8], [8, 8], [8, 8], []]
[[8], [8], [3, 3, 8], [7], [3, 8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [6, 8], [3, 3, 8]]
[[8], [8], [6, 7], [3, 8], [8], [8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [3, 8], [3, 8], [3, 8], [8], [3, 3, 3, 3], [3, 8], [3, 8]]
[[8], [8], [8], [3, 8], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [3, 8], [3, 8], [8], [8], [8], [6, 7], [8], [8], [3, 8]]
[[8], [8], [6], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [3, 8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [7], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [6], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [3, 7], [8], [8], [8]]
[[7], [8], [8], [8], [3, 3, 3, 3], [3, 3, 6], [8], [8], [8], [3, 3], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [3, 8]]
[[8], [8], [8], [3], [8], [6], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [7], [8], [8], [8], [8], [8]]
[[6], [8], [8], [8], [8], [7], [8], [8], [8], [3, 3, 3], [3, 3, 3], [3, 3, 3], [8], [8], [], [3], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [3], [8], [3, 3, 3], [8], [8], [3, 3, 3], [3, 3, 3], [6], [8], [8], [8], [8], [7], [3, 3, 3], [8], [8], [8], [8], [8], [8], [], []]
[[], [8], [8], [8], [8], [8], [8], [], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3], [], [8], [7], [3, 3, 3], [8], [8], [8], [3, 6], [8], [3, 3, 3]]
[[8], [8], [], [3], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [8], [6], [8], [8], [8], [7], [], [3, 3, 3], [8], [8], [8], [], [8], [8], [3, 3, 3]]
[[8], [8], [8], [3, 3, 3], [], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3], [3, 3, 3], [3, 3, 3], [7], [], [6], [8], [8], [], [8], [8], [8], [8], [], [8]]
[[8], [8], [8], [8], [], [], [8], [3, 3, 3], [], [3, 3, 3], [8], [8], [3], [7], [8], [], [8], [3, 3, 3], [8], [], [], [8], [8], [8], [3, 3, 3], [8], [6], [8], [8], [8]]
[[8], [8], [8], [], [8], [], [3, 3, 3], [8], [8], [8], [3, 3, 3], [], [7], [8], [8], [8], [], [8], [8], [8], [], [8], [], [3, 3, 3], [8], [], [3, 6], [3, 3, 3], [8], [], [8]]
[[8], [8], [3, 3], [8], [6], [8], [8], [8], [], [8], [8], [], [], [], [8], [8], [3, 3], [8], [3], [8], [3, 3], [], [3, 3], [8], [8], [8], [8], [3, 3], [7], [3, 3], [8], []]
-EndAllocation

Instance: [[1], [187], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,32. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 3, 4, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 7, 7], [3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8]]
[[8], [4, 8, 8, 8, 8, 8, 8, 8], [2, 3, 3, 3, 3, 3, 6, 7, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7]]
[[], [2, 4, 5, 5, 5, 6, 7, 7, 8], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [2, 8, 8, 8, 8, 8], [4, 5, 8, 8], [5, 5, 5, 5, 6, 7, 7], [3, 3, 3, 3, 3, 5, 5, 5, 5, 5]]
[[], [6, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5], [4, 5, 5, 5, 8, 8], [8, 8, 8, 8], [2, 7, 7, 8, 8], [3, 3, 3, 3, 3, 8]]
[[], [5, 5, 5, 8, 8], [5, 8, 8, 8], [5, 5, 5, 5, 5, 5], [2, 8], [6, 8, 8, 8], [3, 3, 3, 3, 3, 7, 7], [4, 8, 8, 8]]
[[], [5, 5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [3, 3, 3, 3, 3, 6], [2, 5, 5, 5, 5, 5], [8, 8, 8], [7, 7]]
[[], [5, 5, 5, 5], [2, 4, 5, 5, 5], [3, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [5, 5, 5, 6], [8, 8], [3, 3, 3, 3, 7]]
[[], [4, 8, 8], [7, 7, 8], [6, 8, 8], [5, 5, 8], [8, 8], [8, 8], [5, 5, 5, 5], [2, 8, 8], [3, 3, 3, 3, 3], [5, 5, 5, 5]]
[[], [4, 8, 8], [8, 8], [5, 5, 8], [6, 8], [3, 3, 3, 3, 3], [5, 5, 5, 5], [5, 5, 5, 5], [2, 7, 7], [8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [5, 8], [5, 5, 5, 5], [2, 8, 8], [5, 6, 8], [], [4, 8, 8], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [7, 7]]
[[], [8, 8], [5, 5, 5], [5, 5, 5], [5, 5, 5], [8, 8], [3, 3, 3, 3, 3], [5], [7, 7], [4, 8], [6, 8], [2, 8, 8], [8, 8], [8, 8]]
[[], [5, 5, 5], [8, 8], [7, 7], [5, 5, 5], [8, 8], [3, 3, 3, 3, 3], [4, 8], [8, 8], [5, 5, 5], [8, 8], [8, 8], [], [5, 6], [2, 8]]
[[], [8, 8], [8, 8], [5, 5], [2, 4], [7, 7], [5, 5, 6], [8, 8], [5, 5, 5], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [], [5, 5, 5]]
[[8], [8], [5, 8], [7, 7], [5, 8], [5, 5], [5, 6], [3, 3, 3, 3], [8], [4, 8], [5, 8], [2, 8], [3, 8], [5, 5], [5, 8], [8], [5, 8]]
[[8], [5, 5], [6, 8], [5, 5], [2, 3, 8], [8], [8], [3, 3, 3, 3], [8], [5, 8], [8], [4, 8], [8], [7, 7], [5, 5], [5, 8], [5, 5], [8]]
[[8], [5, 8], [5, 8], [3, 3, 3, 3], [5, 5], [3, 5, 5], [2, 8], [8], [8], [4, 6], [8], [5, 8], [8], [5, 5], [8], [7], [8], [8], [5, 7]]
[[8], [5, 5], [8], [8], [6], [5, 8], [8], [5, 5], [5, 5], [8], [3, 7], [5, 8], [8], [8], [8], [4, 8], [5, 5], [8], [2, 7], [3, 3, 3, 3]]
[[8], [3, 8], [8], [8], [8], [8], [8], [5, 5], [5, 5], [5, 5], [8], [4, 8], [6], [7], [2, 8], [5, 5], [7], [3, 3, 3, 3], [5, 5], [8], [8]]
[[8], [8], [5, 5], [8], [5, 5], [], [8], [7], [2, 8], [4, 5], [8], [5, 6], [8], [5, 5], [8], [5, 5], [8], [7], [8], [3, 3, 3, 3], [8], [3, 8]]
[[8], [8], [6], [2, 5, 5], [8], [8], [5, 7], [3, 3, 3, 3], [3], [8], [8], [8], [8], [8], [4, 8], [], [5, 5], [5, 5], [5], [8], [7], [8], [5, 5]]
[[], [7], [8], [8], [3, 3, 3], [5, 5], [8], [2, 8], [5, 5], [7], [8], [8], [8], [6], [5, 5], [8], [5, 5], [8], [8], [4], [8], [8], [3, 3], [5, 5]]
[[8], [3, 3], [8], [5, 5], [5, 5], [], [2], [7], [8], [7], [5, 5], [8], [3, 3, 3], [8], [8], [5, 5], [8], [8], [8], [8], [8], [6], [8], [4], [5, 5]]
[[7], [], [8], [8], [5, 5], [8], [3, 3, 4], [8], [2, 5], [5, 5], [5, 5], [], [5], [3, 3], [8], [8], [8], [8], [5, 5], [8], [8], [8], [3, 6], [7], [8], []]
[[8], [5], [5], [8], [7], [3, 5], [8], [4], [5], [8], [8], [8], [8], [5], [3, 3, 3], [7], [8], [5], [8], [2, 5], [6], [8], [3, 5], [5], [8], [8], [5]]
[[6], [8], [8], [5], [7], [8], [7], [8], [8], [3, 3, 3], [5], [5], [4, 5], [8], [5], [8], [5], [2, 5], [5], [3, 3], [5], [8], [8], [8], [5], [], [8], [8]]
[[5], [8], [8], [5], [8], [8], [6], [4, 5], [5], [5], [5], [2, 5], [8], [8], [8], [3, 3, 3], [8], [], [], [5], [8], [7], [8], [7], [8], [3, 3], [8], [5], [5]]
[[8], [7], [8], [8], [3, 3], [8], [5], [5], [8], [], [8], [8], [8], [5], [3, 3, 3], [6], [5], [8], [8], [], [8], [5], [], [5], [8], [7], [5], [4, 5], [5], [2, 5]]
[[], [7], [8], [5], [5], [8], [3, 3, 3], [5], [8], [5], [4, 5], [8], [], [5], [5], [], [5], [8], [8], [8], [8], [8], [6], [3, 3], [5], [8], [2], [8], [5], [8], [7]]
[[6], [8], [3, 5], [8], [4], [7], [5], [8], [3], [8], [5], [], [5], [8], [], [5], [8], [8], [8], [5], [7], [5], [2, 3, 3], [8], [5], [8], [5], [8], [], [], [3, 5], [8]]
-EndAllocation

Instance: [[1], [198], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 6, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8]]
[[], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 6], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], []]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [6], [4, 8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [8], [8, 8], [8, 8], [6, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 6], [4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [6], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 6], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [6, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [8], [6], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8]]
[[8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [6], [4, 8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [6], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4], [8], [4, 8], [], [8], [8], [4, 6], [8], [8], [4, 8], [], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [], [4, 8], [6], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [6], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 6], [], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [6], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [6], [8], [8], [8], [8], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [4, 4], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [6], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4]]
[[8], [8], [], [8], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [], [6], [8], [], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [4, 4], [4, 4], [6], [], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8]]
[[], [], [8], [8], [4, 4], [8], [8], [6], [4, 4], [], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [6], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [], [], [8], [], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [], [4, 4]]
-EndAllocation

Instance: [[1], [197], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 7, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8], [7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8], [7, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 6, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4], [7, 8, 8]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 6, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4]]
[[], [4, 4, 4, 7], [8], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7], [4, 8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [8], [8, 8], [8, 8], [6, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [4, 4, 4, 6], [4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8], [], [7, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [6, 7], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [7], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 6], [4, 8], [4, 8], [4, 8]]
[[8], [8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [6, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [8], [6], [7], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8]]
[[8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [6, 7], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [6], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 7], [8], [4, 4], [8], [4, 8], [], [8], [8], [4, 6], [8], [8], [4, 8], [], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [], [4, 7], [6], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], []]
[[8], [8], [4, 4], [8], [8], [7], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [6], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4], [8], [8], [7], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 6], [], [8]]
[[8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [6], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [], [7]]
[[8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [6], [8], [8], [8], [8], [4, 4], [], [4, 4], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [4, 4], [4, 4], [], [8], [], [8], [8], [7], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [6], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4]]
[[8], [8], [], [8], [], [], [8], [8], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [], [6], [8], [], [4, 4], [4, 4], [4, 4], [8], [8]]
[[7], [8], [4, 4], [4, 4], [6], [], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8]]
[[], [], [], [8], [4, 4], [8], [8], [6], [4, 4], [], [], [8], [7], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [6], [7], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [], [], [8], [], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [4, 4]]
-EndAllocation

Instance: [[1], [196], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7], [4, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 7, 7, 7], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 7, 7, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 7, 7, 7], [4, 8, 8, 8], [4, 7, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4]]
[[], [4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8], [7, 8, 8], [8, 8, 8], [4, 7, 7, 7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [7, 7, 7], [4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [7, 7, 7], [7, 8]]
[[], [7, 7, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [7, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8], [7, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 7], [8, 8], [8, 8], [4, 4, 4, 4], [4, 7, 7], [4, 4, 4, 4], [8, 8], [4, 7], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [8], [], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [7, 7], [8], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], []]
[[8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [7, 7], [4, 8], [7, 7], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 7], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 7], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [7, 7], [8], [4, 8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [7], [4, 8], [4, 7], [7], [4, 8], [7], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 4, 4], [7], [4, 4, 4], [4, 4, 4], [4, 7], [8], [8], [8], [7], [8], [8], [8], [8], [8], [4, 7], [4, 4, 4], [8], [8], [4, 8], [4, 8]]
[[7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [7], [4, 4, 4], [4, 7], [8], [8]]
[[7], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [7], [], [8], [7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7], [8], [8]]
[[8], [], [7], [8], [4, 4, 4], [8], [7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 7], [8], [8], [], [7], [4, 4, 4], [8]]
[[8], [8], [7], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [7], [8], [8], [8], [7], [8], [4, 4], [7], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [7], [8], [8], [8], [8], [4, 4]]
[[8], [8], [7], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [7], [8], [7], [4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [8], [7], [4, 4], [8], [8], [8], [], [], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [7], [4, 4], [8], [8], [7], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [7], [7], [], [], [8], [4, 4], [8], [], [4, 4], [], [4, 4], [7], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4]]
[[8], [], [4, 4], [], [4, 4], [7], [8], [4, 4], [7], [7], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [7], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8]]
[[], [], [7], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [7], [], [], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [7], [8], [8], [], [8]]
[[7], [8], [], [], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4], [7], [], [4, 4], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [7]]
[[8], [], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [4, 4], [7], [], [4, 4], [], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [7], [7], [8], [], [4, 4], [8], [8], [], []]
-EndAllocation

Instance: [[1], [195], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[7], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [7, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8]]
[[], [8, 8, 8, 8], [3, 3, 3, 3, 3, 6, 7, 7], [3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [3, 6, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 7, 7]]
[[], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8], [8, 8, 8], [3, 3, 3, 3, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [6, 8, 8], [8, 8, 8], [8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 7, 8], [3, 3, 3, 3, 3, 8]]
[[], [], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [6, 8, 8], [3, 3, 3, 3, 3, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8], [7, 7]]
[[], [3, 3, 8, 8], [3, 3, 8, 8], [8, 8], [8], [3, 3, 7, 7], [3, 3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 6], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [7, 7], [3, 3, 3, 3, 3, 3], [6, 8], [3, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [6, 8], [], [8, 8], [3, 7, 7], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3], [6, 8], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7]]
[[], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [7, 7], [8, 8], [6], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 8]]
[[], [8, 8], [8, 8], [7, 7], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3], [], [], [8, 8], [8, 8], [8, 8]]
[[8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [3, 8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [7, 7], [8], [6, 8], [8], [8], [8]]
[[8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [6, 8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [7, 7], [3, 3, 8], [3, 3, 8], [8]]
[[8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [3, 3, 3, 3], [3, 8], [3, 8], [6, 7], [3, 8], [8], [8], [8], [8], [3, 8], [3, 8], [7]]
[[8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 3, 7], [8], [3, 8], [3, 8], [8], [3, 8], [8], [8], [3, 8], [3, 8], [8], [7], [6], [3, 8], [8]]
[[8], [8], [8], [3, 8], [7], [8], [8], [3, 8], [8], [8], [3, 3, 3, 3], [7], [8], [3, 3, 3, 3], [8], [3, 6], [8], [8], [3, 8], [3, 8], [8], [8]]
[[8], [3, 3, 3, 3], [3, 8], [8], [3, 3], [8], [8], [8], [3, 3, 6], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [7], [8], [8], [8], [8]]
[[8], [7], [8], [8], [], [8], [8], [8], [7], [8], [8], [8], [8], [8], [3, 8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [6], [8]]
[[8], [8], [8], [6], [8], [], [8], [3, 3, 3], [8], [7], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [3, 3, 3], [8], [3, 7], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [6], [], [8], [8], [3], [8], [7], [3, 3, 3], [8], [8], [7], [8], [8], [3, 3, 3], [8], [8]]
[[8], [], [3], [8], [8], [6], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [7], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [], [8], [7]]
[[8], [8], [7], [8], [8], [], [7], [8], [], [8], [3, 3, 3], [], [3, 6], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [3, 3, 3], [7], [7], [8], [8], [3, 3, 3], [8], [], [3, 6], [], [8], [8], [8], [], [], [8], [3, 3, 3], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8]]
[[8], [], [], [3, 3, 3], [7], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [7], [8], [3], [8], [8], [8], [], [], [8], [8], [8], [8], [], [3, 3, 3], [3, 3, 3], [6], [8]]
[[], [8], [7], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [7], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [6], [3, 3, 3], [8], [], [8], [], [], [3]]
[[6], [8], [3, 3, 3], [8], [8], [], [7], [8], [], [8], [8], [8], [8], [8], [], [8], [8], [8], [7], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [], [8], [], [3, 3, 3], [], [], [3]]
[[8], [8], [3, 3], [], [3, 3], [3], [3, 3], [8], [8], [3, 3], [6], [8], [8], [7], [3, 3], [], [], [8], [8], [], [8], [8], [8], [8], [8], [8], [7], [8], [], [8], [8], [], [3, 3]]
-EndAllocation

Instance: [[1], [194], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 7, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 7, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 7, 7], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4]]
[[], [4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [7, 7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [7, 7, 8], [8]]
[[], [4, 7, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [], [4, 7, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [8, 8], [4, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 8], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [7, 7], [8], [8, 8], [4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], []]
[[8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [7, 7], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [7, 7], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [7], [8], [8], [7], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [7], [4, 4, 4], [8], [8], [4, 8], [8]]
[[7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [4, 4, 4], [4, 8], [4, 4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [7], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7], [8], []]
[[8], [], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [7], [4, 4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4], [4, 4], [8], [7], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [8], [8], [7], [4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [], [], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4], [4, 4], [8], [8], [7], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [7], [8], [], [], [8], [4, 4], [8], [], [4, 4], [], [4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4]]
[[8], [], [4, 4], [], [4, 4], [4], [8], [4, 4], [7], [7], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8]]
[[], [], [7], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [7], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4], [8], [4, 4], [8], [8], [], [8], [8], [], [8]]
[[], [8], [], [], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4], [7], [], [4, 4], [8], [8], [], [8], [4], [4, 4], [8], [4, 4], [8]]
[[8], [], [4], [8], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [7], [], [8], [], [4, 4], [8], [8], [], []]
-EndAllocation

Instance: [[1], [193], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,33. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [5, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 5], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], []]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 5]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8], [4, 8, 8]]
[[], [8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 5], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [8]]
[[], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 5, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [5, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 5], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 8], [], [5, 8], [8, 8], []]
[[8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 5], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [5, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [5, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [5, 8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [], [8], [8], [8], [8], [8], [5], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [5]]
[[8], [5], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4, 4], [8]]
[[8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 5], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [4], [4, 4], [4, 4], [5], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4], [8], [8], [4, 5], [4, 4], [4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [8], [], [4], [8], [8], [8], [5], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [5], [8], [], [], [8], [4, 4], [8], [], [4, 4], [], [4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [5], [8], [4, 4], [4, 4], [8], [8], [8], [4], [8]]
[[], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4], [5], [4, 4], [8], [8], [], [8], [8], [], [8]]
[[], [8], [], [], [], [8], [], [8], [8], [8], [4, 5], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [], [4], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [8], [], [8], [], [4, 4], [8], [8], [], [5]]
-EndAllocation

Instance: [[1], [204], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 8], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 8, 8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8], [8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [], [4, 8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [], [4, 4, 4], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [4], [4, 4], [], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4], [8], [], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [8]]
[[8], [], [8], [8], [8], [8], [], [8], [8], [4], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [8], [4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4]]
[[8], [8], [], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [8], [4, 4], [8], [4], [], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [8], [8], [8], [], [], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [], [], [4, 4], [8], [8], [], [4, 4], [8], [], [8]]
-EndAllocation

Instance: [[1], [203], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[8], [7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7]]
[[], [7, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [7, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8]]
[[], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 7, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], []]
[[], [4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4], [8, 8], [8], [8, 8], [], [8, 8], [7, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [7], [8, 8], [], [4, 4, 4, 4], [8, 8], [4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 7], [8], [8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [8], [7], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8]]
[[8], [8], [8], [7], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 7], [8], [8], [4, 4, 4], [8], [8], [4, 4], [4, 8], [8], [], [8], [8], [8]]
[[7], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8]]
[[8], [8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [], [8], [7], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [4, 4], [8], [8], [], [7], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4]]
[[8], [8], [4, 4], [8], [], [8], [4, 4], [4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [7], [8], [8], [8], []]
[[8], [4, 4], [8], [], [8], [8], [8], [4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [7], [8], [], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [8]]
[[8], [7], [8], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [], [4, 4], [8], [], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [], [4], [4, 4], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8]]
[[8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4], [4, 4], [8], [7], [], []]
[[8], [], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [7], [8], [], [4, 4], [8], [8], [4], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [], [], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4], [7], [8], [8], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [], [], [4, 4], [], [8], [], [8], [4, 4]]
-EndAllocation

Instance: [[1], [202], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [7, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7]]
[[], [4, 8, 8, 8], [7, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [], [7, 7, 8], [4, 4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4], [4, 4, 7, 7]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 7, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 7, 7], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [7, 7], [8, 8], [4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8]]
[[], [7, 7], [8, 8], [4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8], [4, 4, 4, 4]]
[[], [8, 8], [7, 7], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4], [8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [7, 7], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [7, 7], [8], [8], [4, 4, 4], [8]]
[[7], [8], [8], [7], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [7], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [7], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[7], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [4, 7], [], [4, 8], [], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [7], [8], [8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [7], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 7], [8], [8], [], [8], [4, 4, 4], [4, 4, 4]]
[[7], [8], [8], [8], [8], [8], [4, 4], [8], [8], [7], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4], [8]]
[[8], [8], [8], [], [8], [7], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4], [8], [4, 4], [7], [8], [4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [7], [4], [8], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [7], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4]]
[[8], [8], [7], [4, 4], [], [7], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [8], [8], [], [4, 4], [8], [8], [], [8]]
[[8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [7], [], [8], [4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [7], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4]]
[[], [8], [8], [8], [8], [7], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [7], [], [8], [8], [4, 4], [4, 4], [4, 4], [4], []]
[[8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [7], [8], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [7], [4, 4], [8], [4, 4], [], [], [4], [4, 4]]
[[8], [8], [8], [], [8], [4, 4], [], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [], [4, 4], [4], [], [4, 4], [8], [8], [8], [7], [4, 4], [4, 4], [8], [], [8], [4, 4], [7], [8], [8]]
[[8], [4], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [], [], [8], [], [8], [8], [4, 4], [4, 4], [7], [8], []]
-EndAllocation

Instance: [[1], [201], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 4, 8, 8], [3, 3, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 7, 7]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7], [3, 3, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [7, 7, 8, 8], [8, 8, 8], [4, 8, 8], [3, 3, 3, 8, 8], [8, 8, 8]]
[[], [4, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 8, 8]]
[[], [4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 8], [8, 8, 8], [8, 8], [7, 7]]
[[8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 4], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 3, 7, 7], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3]]
[[], [], [8, 8], [8, 8], [4, 8, 8], [7, 7], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [], [8, 8], [3, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8], [3, 3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [4], [], [8, 8], [7, 7], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8], [3, 3, 3, 8]]
[[], [7, 7], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3], [8, 8], [8], [], [8, 8], [4, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 3, 3, 3], [7, 7], [8, 8], [3, 3, 3], [8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [], [], [8]]
[[8], [3, 8], [8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [7, 7], [8], [8], [8], [8], [3, 3, 8], [4, 8], [8], [3, 3, 8]]
[[8], [3, 3, 8], [3, 8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [4, 8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [8], [8], [7, 7], [3, 3, 8]]
[[7], [8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [8], [3, 3, 3, 3], [3, 8], [3, 7], [4, 8], [3, 8], [3, 8], [8]]
[[8], [8], [7], [8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [7], [4, 8], [3, 8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [4, 8], [8], [7], [8], [3, 3, 3, 3], [3, 8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [8], [3, 8], [8], [8], [7], [], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [8], [7], [8], [8], [8], [8], [3, 3, 3, 3], [4, 8]]
[[8], [7], [8], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [7], [8], [8], [], [8], [8], [4]]
[[7], [8], [8], [8], [3], [8], [8], [8], [8], [7], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [3, 3, 3], [8], [4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [], [8], [7], [3, 3, 3], [8], [3, 3, 3], [3], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [7], [8], [4], [8], [8], [8], [8]]
[[8], [3], [8], [7], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [7], [], [8], [8], [8], [8], [8], [4], [3, 3, 3], []]
[[8], [8], [7], [3, 3, 3], [8], [7], [8], [3, 3, 3], [8], [], [8], [3], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [], [8], [8], [8], [8], [4], [8], [8], [], [8]]
[[8], [8], [], [8], [3, 3, 3], [3, 3, 3], [8], [8], [7], [], [8], [3, 3, 3], [8], [8], [7], [8], [8], [8], [8], [3], [8], [], [8], [3, 3, 3], [4], [8], [8], [], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [7], [3, 3, 3], [8], [3], [8], [4], [8], [8], [], [8], [8], [7], [], [8], [8], [], [8], [], [8], []]
[[8], [3], [8], [8], [3, 3, 3], [8], [], [4], [8], [8], [8], [8], [3, 3, 3], [], [7], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [7], [8], [8], [], [], [], [8], []]
[[8], [8], [3, 3, 3], [], [8], [8], [8], [3], [8], [], [8], [8], [], [3, 3, 3], [8], [], [8], [], [7], [8], [8], [8], [8], [7], [4], [8], [8], [], [8], [], [3, 3, 3], [3, 3, 3], [8]]
[[8], [], [4], [8], [8], [8], [8], [7], [8], [8], [3], [8], [3, 3], [], [8], [8], [8], [8], [3, 3], [3, 3], [8], [], [3, 3], [], [], [8], [8], [3, 3], [8], [3, 3], [8], [7], [8], []]
-EndAllocation

Instance: [[1], [200], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], []]
[[], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [], [4, 4, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [8]]
[[8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4]]
[[], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [8]]
[[8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [4, 4], [], [8], [8], []]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [], [], [4, 4], [], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [8]]
[[8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [], []]
[[8], [], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [], [], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [199], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,34. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,34:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[4, 4], [7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 7, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [7, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4]]
[[], [8, 8], [4, 8, 8], [8, 8], [4, 7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 7, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [7, 8], [8, 8], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [], [4, 4, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4]]
[[8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 7], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 7], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7], [8], [8], [8], [8], [4, 4], [8], [], [4, 4, 4], [8]]
[[8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 7], [8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4]]
[[7], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [7], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [7], [4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [7], [], [8]]
[[8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [], [7], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [7], [], [8], [8], [8], [4, 4], [], [8], [8], []]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [7], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [], [], [4, 4], [], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [8]]
[[8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [], [], [8], [4, 4], [8], [8], [8], [], [8], [7], [8], [8], [], []]
[[8], [], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [], [], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [8], [7], [4, 4], [], [8], [8], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [210], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 7, 7, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 7, 8], [8], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8], [4, 4, 4, 7, 7]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [7, 7, 8], [], [8, 8, 8], [], [4, 4, 4, 4, 4, 4]]
[[], [7, 7, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [4, 7, 7], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 8], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [], [7, 7], [8, 8], [], [4, 4, 4, 4], [4, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [7, 7], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4], [], [7, 7]]
[[8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [7, 7], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8]]
[[8], [7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 8], [7], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 7], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8]]
[[7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [7], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [7], [8], [8]]
[[8], [8], [8], [8], [8], [], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [7], [8], [8], [8], [8], [8]]
[[], [8], [8], [8], [], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [8], [8], [4, 7], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[7], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [7], [4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [7], [8], [4], [8], [8], [], [8], [4, 4], [7], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [4], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [7], [8], [4, 4], [8], [8]]
[[8], [7], [8], [8], [4], [8], [8], [4, 4], [], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8]]
[[8], [8], [7], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4], [8], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [], [8]]
[[8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4], [8], [], [4, 4], [8], [], [8], [], [8], [8], [7], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [7]]
[[], [8], [], [7], [4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [7], [], [4, 4], [4, 4], [], [], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [], [7], [8], [4, 4], [8], [8], [4], [8], [4, 4], [4, 4], [8], [], [], [8], [4, 4], [4, 4], [4, 4], [], [8], [7], [], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [4, 4], [], [], [7], [4], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [7], [], [4, 4], [8], [8], [8], [], [8], []]
-EndAllocation

Instance: [[1], [209], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 6, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [4, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 6, 7], [4, 4, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], []]
[[], [8, 8], [4, 8, 8], [8, 8, 8], [8, 8, 8], [7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4], [8, 8], [6, 8, 8], [8, 8], [8], [4, 8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4], [4, 7, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [6, 8]]
[[], [7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 6], [4, 4, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [6, 8], [4, 4, 4, 4], [4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8], [7], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4], [], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [6, 8], [4, 4, 4, 4], [], [8, 8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 7], [8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [6, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [7], [8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [6, 7], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [4, 7], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 6], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [6], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [7]]
[[8], [8], [8], [8], [4, 6], [4], [4, 4, 4], [4, 7], [8], [4, 8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 7], [6], [4, 4, 4], [8], [], [8], [8], [8], [4, 4, 4], [8]]
[[8], [], [4, 4, 4], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [7], [4, 4, 4]]
[[8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [7], [8], [4, 4], [4, 4], [4, 6], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [7], [6], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8]]
[[8], [4], [4, 4], [6], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [7], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [8]]
[[8], [8], [8], [8], [], [4, 4], [4, 4], [6], [4, 4], [8], [7], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [], [4], [4, 4]]
[[8], [4, 4], [6], [4, 4], [8], [7], [4, 4], [4, 4], [4], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [], [8], [7], [8], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [6], [4, 4], [], [4], [8], [4, 4], [8]]
[[8], [], [7], [], [8], [], [6], [8], [8], [8], [8], [8], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [7], [8], [], [], [8], [4], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [6], [8], [8], [8], [], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [7], [6], [8], [8], [4, 4], [], [], [4, 4], [4, 4], [8], [8], [8], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4], [4, 4], [8], [], [8]]
-EndAllocation

Instance: [[1], [208], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[4], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [4]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], []]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 8], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 8], [], [8], [8], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8]]
[[8], [8], [8], [], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4]]
[[], [8], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], []]
[[], [8], [], [4, 4], [8], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [], [8], [], [], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [], [], [8]]
[[8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [], [4, 4], [], [], [8], [8], []]
-EndAllocation

Instance: [[1], [207], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8]]
[[6], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 5, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 6, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 5], [8], [4, 8, 8, 8], [4, 8, 8, 8], [6, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [5, 8], [6]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [5, 6, 8], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 6], [8, 8, 8], [4], [8, 8, 8], [5]]
[[], [4, 8, 8], [4, 4, 4, 6], [5, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 8], [8, 8], [6, 8], [5, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [8, 8], [4, 4, 4, 4], [4, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8]]
[[], [8, 8], [6, 8], [4, 4, 4, 4], [4, 4, 4, 4], [5], [8, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [5], [8, 8], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [6], [5, 8], [4, 4, 8], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[8], [8], [5, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [6, 8], [8]]
[[8], [4, 8], [8], [8], [8], [6, 8], [5, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [5, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 6], [8]]
[[8], [5, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [6], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [5], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [6]]
[[8], [4, 8], [6], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 5], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [5], [8], [4, 8], [], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [], [4, 4, 4], [8], [8], [6], [4, 4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [5], [8], [4, 4], [8], [8], [8], [8], [4, 6], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [5], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 6], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [8], [6], [4, 4], [8], [4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [5], [8]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 6], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [5], [8], [8], [4, 4], [4, 4], [8]]
[[8], [5], [8], [4], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [6], [8], [4, 4], [], [4, 4]]
[[], [8], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 5], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [6], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [4, 4], [], [4, 4], [8], [8], [6], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [], [], [8], [8], [4, 4], [8], [4, 4], [8], [4], [5]]
[[], [8], [], [4, 4], [8], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 5], [6]]
[[8], [8], [4, 4], [], [8], [4], [8], [8], [4, 4], [], [8], [], [], [4, 4], [4, 4], [8], [5], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [6], [8], [], [8], [8], [4, 4], [8], [], [], [8]]
[[8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [5], [8], [8], [], [4, 4], [8], [8], [8], [8], [6], [4], [], [8], [4, 4], [], [], [8], [8], []]
-EndAllocation

Instance: [[1], [206], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8], [6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8], [8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8]]
[[], [7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [3, 6], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8], [7, 7, 8, 8], [8, 8, 8, 8], [3, 3, 3, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 8, 8, 8], [3, 3, 3, 3, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8]]
[[], [8, 8, 8], [7, 7, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 8], [8, 8, 8], [8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 7, 7], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3]]
[[], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7, 8], [8, 8, 8], [6, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8]]
[[8], [3, 8, 8], [6, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 8], [7, 7], [3, 3, 3, 3, 3, 3], [6, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [3, 3, 8], [6, 8]]
[[], [3, 3, 3, 3, 3], [6, 8], [8, 8], [8, 8], [7, 7], [8, 8], [8], [8, 8], [3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[], [], [3, 3, 3, 3], [], [8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [], [3, 3, 3, 3], [], [6, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [8], [8, 8], [8, 8], [7, 7]]
[[8], [8], [7, 7], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [6, 8], [3, 3, 8]]
[[8], [8], [8], [8], [8], [6, 8], [3, 3, 8], [8], [3, 3, 3, 3], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8], [7, 7], [8], [3, 3, 8], [8], [8], [8]]
[[8], [3, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 3, 3, 3], [3, 8], [8], [3, 8], [3, 3, 7], [8], [3, 8], [8], [8], [8], [8], [6, 7], [3, 8]]
[[8], [8], [3, 8], [8], [8], [8], [6, 7], [8], [3, 3, 3, 3], [3, 3, 7], [3, 8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [8], [3, 8], [8], [8], [8]]
[[8], [3, 7], [8], [8], [8], [3, 3, 3, 3], [3, 8], [8], [8], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 7], [8], [3, 8], [8], [8], [8], [3, 6]]
[[8], [8], [6], [3, 3, 3, 3], [3, 8], [7], [8], [7], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8]]
[[8], [8], [8], [8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [8], [3, 3], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [6], [3, 3, 3, 3]]
[[8], [8], [3, 3, 3], [8], [8], [3, 3], [8], [8], [8], [7], [8], [6], [8], [8], [8], [3, 3, 3], [7], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [3, 6], [7], [8], [3], [8], [3, 3, 3], [8], [3, 3, 3], [7]]
[[8], [8], [7], [8], [8], [8], [3, 3, 3], [8], [7], [8], [3, 3], [6], [8], [8], [3, 3, 3], [8], [], [], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8]]
[[], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3, 3], [6], [], [8], [3, 3, 3], [8], [7], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [7], [8], [8], [8]]
[[8], [8], [8], [7], [], [3, 3, 3], [3, 3], [8], [8], [3, 3, 3], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [6], [7], [8], [], []]
[[], [7], [3, 3], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [], [8], [], [8], [8], [], [3, 3, 3], [7], [6], [8], [8], [3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [], [], [8], [8], [6], [3, 3, 3], [7], [7], [], [8], [3, 3, 3], [3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [], [8], [8], [3, 3, 3], [], [8], [8], [8], [], [8]]
[[], [8], [3, 3, 3], [3, 3, 3], [8], [], [8], [8], [8], [], [], [8], [7], [8], [8], [], [], [8], [8], [3, 3, 3], [3, 3], [8], [], [7], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [6]]
[[8], [7], [8], [8], [8], [], [8], [8], [3, 3, 3], [], [8], [], [3, 3], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [7], [], [8], [8], [6], [8], [8], [8], [8], [], [3, 3, 3], [], [], [8]]
[[8], [], [3, 3], [8], [3, 3], [8], [8], [8], [8], [8], [8], [], [8], [3, 3], [8], [8], [3, 3], [8], [8], [], [8], [8], [3, 3], [8], [8], [6], [], [], [3, 3], [3, 3], [], [7], [7], [8], []]
-EndAllocation

Instance: [[1], [205], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,35. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 5, 8], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 5], [8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [5, 8], [4]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [5, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [5]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [5, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 8], [8, 8], [8, 8], [5, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [5], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [5], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [5, 8], [4, 4, 8], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[8], [8], [5, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [4, 8], [8], [8], [8], [5, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [5, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8]]
[[8], [5, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [5], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [], [8], [8], [4, 4, 4], [8], [4, 8], [4, 5], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [5], [8], [4, 8], [], [8], [8], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [5], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [5], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [5], [8]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [5], [8], [8], [4, 4], [4, 4], [8]]
[[8], [5], [8], [], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4]]
[[], [4], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 5], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [], [], [8], [8], [4, 4], [8], [4, 4], [8], [], [5]]
[[], [8], [], [4, 4], [8], [], [8], [8], [8], [4], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 5], [8]]
[[8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [], [8], [], [], [4, 4], [4, 4], [8], [5], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [], [], [8]]
[[8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [5], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [], [4, 4], [], [], [8], [8], []]
-EndAllocation

Instance: [[1], [216], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], []]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 8], [8]]
[[], [4, 4, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 8], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [4, 4], [], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [215], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7]]
[[], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 7, 8, 8], []]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 7], [4, 8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 4, 8], [8]]
[[], [4, 4, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [], [8, 8], [8, 8]]
[[8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [7]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [7], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 8], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [], [4, 4], [7], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [7], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [7], [], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [7], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [4, 4], [], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [7], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [214], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6]]
[[], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [6], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [6], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [6, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [6, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [6, 8]]
[[], [4, 4, 4, 6], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8]]
[[], [4, 4, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [6], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [6, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[8], [8], [4, 8], [8], [4, 8], [4, 4, 6], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [6, 8], [8], [8], [8], [8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 6], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [6], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 8], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [6]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [6], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 6], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4], [4, 4], [8], [8], [8], [4, 6], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [6], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [6], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [6], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [6], [], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [6], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [4, 4], [], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [6], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [], [8], [4, 4], [8], [8], [6], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [6], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [213], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 5, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8]]
[[], [8], [4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4]]
[[], [4, 5, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [5, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 5], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [8, 8], [5, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 5], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 5], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8]]
[[], [4, 4, 4], [4, 4, 4, 5], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [5, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [], [8, 8], [8, 8]]
[[8], [8], [5, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [5, 8], [4, 8], [8], [8], [8], [8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 5], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [5, 8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [5]]
[[8], [8], [8], [8], [8], [5], [4, 8], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [5], [4, 4, 4], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 5], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 5], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [], [8], [4, 5], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 5], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [5], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [5], [], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 5], [8], [4, 4], [8], []]
[[8], [4, 4], [], [5], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [], [8], [4], [8], [8], [4, 5], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [8], [5], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [212], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8]]
[[], [4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4], [8], [8], [8], [8]]
[[8], [8], [], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [], [4, 4], [8], [4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [4, 4], [], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [], [8], [4], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [211], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,36. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7]]
[[], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 7, 8, 8], [4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [], [4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 7], [4, 8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 4, 4], [8]]
[[], [4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [7], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [], [8, 8], [8, 8]]
[[8], [7], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [7]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [7], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8]]
[[8], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [4], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4], [8], [8]]
[[8], [], [4, 4], [8], [4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [], [8], [8], [8], [8], [4], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [], [4, 4], [7], [4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [7], [4], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [7], [], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [7], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [4], [8], [8], [], [8], [8], [], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [4, 4], [], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [4, 4], [8], [8], [4], [], [8], [8], [], [8], [], [8], [4, 4]]
[[8], [7], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [4], [4, 4], [], [8], [8], [], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [8], []]
[[8], [4, 4], [8], [4, 4], [], [7], [4, 4], [4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [], [], [8], [8], [], []]
-EndAllocation

Instance: [[1], [222], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8], [8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [8, 8, 8, 8, 8, 8], [3, 3, 8, 8, 8], [3, 6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [3, 3, 7, 7, 8, 8], [3, 8, 8, 8, 8], [3, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [3, 8, 8, 8, 8]]
[[], [7, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8, 8], [3, 3, 3, 8, 8, 8], [], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8, 8], [3, 3, 3, 3, 7, 7], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [8, 8, 8], [8], [3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [3, 3, 3, 3, 3, 3], [8, 8, 8], [], [8, 8, 8], [8, 8], [7, 7, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [7, 7], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [6, 8, 8]]
[[8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [6, 8], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 8], [8, 8], [8, 8], [8, 8], [6, 8], [3, 3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [], [8, 8], [3, 7, 7], [3, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 6, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 7, 7], [8, 8], [8, 8], [8], []]
[[], [], [8, 8], [], [7, 7], [8, 8], [3, 3, 3, 3], [8, 8], [6, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[], [7, 7], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [6, 8], [], [8], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [8, 8], [8], [8, 8], [3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [7, 7], [8, 8], [8, 8], [], [], [8, 8], [6, 8], []]
[[8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [7, 7], [3, 3, 8], [3, 3, 8], [6, 8], [8], [8], [8], [3, 3, 8]]
[[8], [8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [8], [8], [6, 8], [8], [8], [3, 3, 8], [7, 7], [3, 3, 8], [3, 3, 8], [3, 3, 3, 3], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [6, 7], [8], [3, 8], [3, 8], [8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [3, 8], [7], [3, 8], [3, 3, 3, 3], [3, 8], [8], [8], [8], [3, 8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [3, 8], [3, 8], [8], [8], [8], [8], [8], [3, 8], [3, 3, 3, 3], [6, 7], [8], [8], [8], [3, 3, 7], [8], [8]]
[[8], [8], [3, 8], [8], [3, 8], [3, 3, 6], [7], [3, 8], [3, 8], [8], [7], [3, 8], [8], [8], [3, 8], [3, 3], [3, 8], [8], [8], [3, 3], [8], [3, 8], [8], [8], [8]]
[[8], [8], [8], [8], [3, 8], [6], [3, 8], [8], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [3, 3], [7], [7], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8]]
[[8], [7], [8], [8], [8], [8], [7], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 6], [8]]
[[8], [3, 3, 3], [8], [7], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3, 3], [7], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [6], [8]]
[[8], [3, 3], [8], [8], [8], [3, 3, 3], [3, 3, 3], [7], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [7], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [6]]
[[8], [3, 3, 3], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [6], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [], [7], [3, 3], [8], [8], [8], [8], [8], [7]]
[[8], [8], [8], [6], [3, 3, 3], [], [], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [7], [8], [8], [3, 3], [8], [8], [8], [7], [8], [8], [], [8], [8], [3, 3, 3], [3, 3, 3]]
[[8], [8], [8], [8], [8], [8], [8], [], [8], [8], [], [3, 3, 3], [7], [8], [3, 3, 3], [8], [3, 3], [], [3, 3, 3], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [7], [8], [8], [8], [6]]
[[8], [], [], [8], [7], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [], [], [8], [3, 3], [], [3, 3, 3], [8], [8], [3, 3, 3], [8], [6], [7], [8], [8], [3, 3, 3], [8], [8], [8], [8]]
[[], [8], [8], [], [], [8], [], [8], [8], [8], [8], [8], [8], [3], [], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [], [7], [3, 3, 3], [3, 3, 3], [8], [3, 6], [8], [8], [7], [8], [8], [8], [8]]
[[], [8], [7], [8], [8], [], [8], [8], [], [], [3, 3, 3], [8], [], [8], [8], [], [3, 3, 3], [6], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [], [3, 3], [8], [8], [7], [3, 3, 3], [8], [8]]
[[8], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [], [3, 3, 3], [], [8], [3, 3, 3], [8], [7], [8], [8], [8], [], [3, 3, 3], [8], [8], [], [8], [], [3, 3], [7], [], [8], [8], [6], []]
[[8], [8], [8], [], [], [3, 3], [8], [8], [8], [8], [8], [7], [], [8], [], [], [8], [3, 3], [3, 3], [6], [8], [8], [8], [3, 3], [8], [], [3, 3], [8], [8], [7], [3, 3], [8], [8], [3, 3], [], [8], [8]]
-EndAllocation

Instance: [[1], [221], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8]]
[[4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 7, 8, 8, 8, 8, 8, 8], [4, 6, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [7, 8, 8], [8, 8, 8, 8, 8]]
[[], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 6, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8]]
[[], [8, 8, 8], [6, 8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [6, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 6]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4, 4], [], [7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [4, 4, 4, 4], [4, 4, 7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [8, 8], [4, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [8, 8], []]
[[], [], [8, 8], [], [4, 4, 7], [8, 8], [], [8, 8], [6, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 6], [4, 4, 4, 4], [], [8, 8], [8, 8], []]
[[], [4, 4, 8], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [7], [8, 8], [8, 8], [], [], [8, 8], [6], [4, 4, 4, 4]]
[[8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [6, 8], [8], [8], [8], [4, 7], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 6], [8], [8], [8], [4, 7], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [6], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 7], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 6], [4, 4, 4], [8], [4, 8], [7], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [7], [4, 4, 4], [6], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [6], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4], [8], [], [8], [8]]
[[8], [7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4], [4, 4, 4], [], [4, 4, 4], [4, 8], [], [8], [6], [8]]
[[8], [4, 4], [4, 4], [7], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [6], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [7], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [6]]
[[], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 6], [8], [4, 4], [8], [4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [7]]
[[8], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [6], [4, 4], [8], [8], [8], [8], [8], [7], [8], [4, 4], [4, 4], [], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [7], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6]]
[[8], [], [4, 4], [], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [], [6], [8], [8], [], [8], [8], [8], [8], [8]]
[[], [8], [4, 4], [], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [7], [8], [4, 4], [8], [6], [], [8], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [], [8], [4, 4], [8], [], [], [4, 4], [6], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [7], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [7], [8], [8], [8], [4, 4], [8], [], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [], [6], []]
[[8], [8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [6], [8], [8], [4, 4], [8], [], [], [8], [8], [8], [7], [], [8], [8], [4, 4], [], [8], []]
-EndAllocation

Instance: [[1], [220], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8], [4, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [], [4, 4, 4, 4], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4]]
[[], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [], [], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4]]
[[8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [], [], [8]]
[[], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [], [8], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [], [8], [8], [4, 4], [8], [], [8], [8], [], [8], [8], [4, 4], [4]]
[[8], [8], [4, 4], [], [8], [8], [], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [4], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [], [8], [4, 4]]
[[8], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [], [4], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], []]
[[], [], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4], [], [8], []]
-EndAllocation

Instance: [[1], [219], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 8, 8], [7], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4], [4, 4, 4, 7]]
[[], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 7], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 8]]
[[], [8, 8], [4, 4, 4], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [4, 7], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [7], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[7], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8]]
[[8], [4, 4, 4], [7], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4]]
[[], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [], [], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [8], [4, 7], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [], [4, 4, 4], [8]]
[[8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [8], [8], [4]]
[[8], [8], [], [7], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [7], [4, 4], [], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [], [4], [8]]
[[], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4], [8], [8], [8], [], [8], [8], [4, 4], [7], [4, 4], [8], [4, 4], [], [8], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [], [7], [8], [4, 4], [8], [], [8], [8], [], [8], [8], [4, 4], [4]]
[[8], [8], [4, 4], [], [7], [8], [], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [7], [8], [8], [4], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [], [8], [4, 4]]
[[8], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [], [7], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [4, 4], [4, 4], []]
[[], [], [8], [4, 4], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4], [], [8], []]
-EndAllocation

Instance: [[1], [218], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4, 7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 7, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 8], [7, 7], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 8, 8], [], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4], [4, 7, 7]]
[[], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4]]
[[], [8, 8], [4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [7, 7], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [7, 7], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [4, 4, 4], [4, 8], [7], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[7], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [7], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8]]
[[8], [4, 4, 4], [7], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [], [8], [8], [8], [4, 7], [8], [], [4, 4, 4]]
[[], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [4, 4, 4], [8], [7], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [7], [], [], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [8], [4, 7], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [], [4, 4, 4], [8]]
[[8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [7], [8], [8], [4]]
[[8], [8], [], [7], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [7], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [7], [4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [7], [4, 4], [], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [7], [], [], [8], [4, 4], [], [4], [8]]
[[], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4], [8], [8], [8], [], [8], [8], [4, 4], [7], [4, 4], [8], [4, 4], [], [8], [7], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [7], [8], [], [], [], [7], [8], [4, 4], [8], [], [8], [8], [], [8], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [], [7], [8], [], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [7]]
[[7], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [7], [8], [8], [4], [], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [8], [], [], [8], [4, 4]]
[[8], [4, 4], [], [], [8], [8], [8], [4, 4], [], [], [7], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [7], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [4, 4], [4, 4], []]
[[], [], [8], [4, 4], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [7], [8], [4], [], [8], []]
-EndAllocation

Instance: [[1], [217], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,37. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,37:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [7, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8], [7, 7, 8, 8], [6, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 8, 8], [6, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 6, 8, 8, 8], [8, 8, 8, 8], [3, 8, 8, 8, 8], [7, 7]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8], [6], [8, 8, 8, 8], [3, 3, 3, 3, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [6, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 6, 7, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8], [3, 3, 3, 3, 3], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7, 8], [3, 3, 3, 3, 3, 3, 3, 3], [], [8, 8, 8], [8, 8, 8], [8], [6, 8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [6, 8, 8], [7, 7, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [6, 8], [3, 3, 7, 7]]
[[], [8, 8], [8, 8], [8], [8, 8], [7, 7], [8, 8], [6, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 3, 8], [8, 8], [8, 8]]
[[], [7, 7], [6, 8], [3, 3, 3, 3, 3, 3], [8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 8]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [7, 7], [], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3]]
[[], [8, 8], [8, 8], [6, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [7, 7], [8, 8], [], [], [3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [7, 7], [6, 8], [], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [3, 3, 3, 3, 3]]
[[8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [3, 8], [8], [3, 3, 8], [6, 8], [8], [3, 3, 8], [8], [8], [8], [8], [7, 7], [3, 3, 8], [3, 3, 8]]
[[8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [7, 7], [6, 8], [8], [8], [8], [8], [3, 8], [3, 3, 8], [8], [3, 3, 3, 3], [8], [8]]
[[8], [3, 8], [3, 3, 3, 3], [3, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [7], [3, 8], [6, 7], [8], [8], [3, 8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 8]]
[[8], [8], [8], [8], [3, 8], [3, 8], [8], [3, 8], [7], [6, 7], [3, 3, 3, 3], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [3, 8], [3, 8], [8]]
[[8], [8], [8], [8], [8], [3, 3, 7], [8], [8], [8], [3, 8], [8], [8], [8], [8], [8], [3, 8], [7], [8], [8], [3, 3, 3, 3], [3, 8], [8], [3, 3, 3, 3], [3, 3, 6]]
[[8], [8], [], [3, 3, 3, 3], [3, 8], [8], [8], [7], [3, 8], [7], [8], [8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 6], [8]]
[[8], [8], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [8], [6], [3, 3, 3, 3], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [3, 3, 3, 3], [3, 3, 3, 3], [], [3, 8], [8], [8], [3, 3, 3, 3], [8], [7], [8], [8], [8], [8], [3, 3, 6], [8], [7]]
[[8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [7], [8], [8], [8], [8], [8], [7], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [6], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [], [8], [8], [], [3, 3, 3], [8], [8], [7], [3, 3, 3], [8], [8], [7], [8], [6]]
[[8], [3, 3, 3], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [8], [8], [6], [], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [], [7], [8], [8], [8], [8], [8], [8], [3, 3, 3], [7]]
[[], [3, 3, 3], [8], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [8], [3, 3, 3], [], [8], [8], [], [8], [8], [3, 3, 3], [8], [8], [8], [8], [6], [7], [8], [8], [7]]
[[8], [8], [7], [8], [], [8], [8], [8], [8], [], [], [3, 3, 3], [7], [], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [6]]
[[8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [], [], [6], [], [8], [3, 3, 3], [8], [7], [8], [], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3], [], [8], [7], [8], [8]]
[[], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [6], [8], [8], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [], [3, 3, 3], [3, 3, 3], [8], [8], [], [3, 3, 3], [7], [], [], [7]]
[[8], [7], [8], [6], [3, 3, 3], [3, 3, 3], [8], [8], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [8], [], [8], [3, 3, 3], [8], [3, 3, 3], [7], [], [8], [8], [], [], [8], [8], [8], [], [], [], [8]]
[[7], [], [3, 3, 3], [8], [8], [3, 3, 3], [7], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [6], [], [8], [], [3, 3, 3], [], [8], [8], [8], [8], [8], [], [], [8], [8], [8], [8], [], [], [8], [], [8]]
[[8], [3], [8], [8], [], [8], [8], [3, 3], [], [], [7], [6], [8], [3, 3], [8], [8], [], [8], [], [8], [8], [3, 3], [7], [3, 3], [8], [8], [3, 3], [8], [], [8], [3, 3], [8], [8], [3, 3], [], [8], [8]]
-EndAllocation

Instance: [[1], [228], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8], [], [8, 8], [], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], []]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [4, 4], [], [8]]
[[8], [8], [8], [4, 4], [], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [4], [8], [], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [], [8], [4], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [], [8], [], [], [4, 4], [8], [8], [8], [4], [8], []]
[[8], [4, 4], [4, 4], [], [], [8], [4, 4], [4], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [4], [8], [8], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [8], [], [8], [8], [], [4], [8], [8], [], [], [4, 4], [8], [8], [], [], [4, 4], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [227], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 7]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 7], [], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 7], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 7, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [7, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], [], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8], [], [8, 8], [], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8], [4], [4, 4, 4, 4], []]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 7], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 7], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8]]
[[8], [8], [8], [4, 7], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8]]
[[7], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [7], [8], [8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 7], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [8], [8], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4], [], [8], [4, 4], [8], [8], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [4, 4], [7], [8]]
[[8], [8], [8], [4, 4], [7], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [4], [8], [], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [7], [], [8], [4], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [], [8], [], [], [4, 4], [8], [8], [8], [4], [8], [7]]
[[8], [4, 4], [4, 4], [], [7], [8], [4, 4], [4], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [7], [], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [4], [8], [8], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [], [8], [], [8], [8], [], [4], [8], [8], [], [], [4, 4], [8], [8], [7], [], [4, 4], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [226], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 8, 8, 8, 8, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 7, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8], [7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 8, 8], [8, 8, 8, 8], [7, 7]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8], [7, 7, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 3, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [7, 7], [], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4], [8, 8, 8], [8, 8, 8], [7, 7], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [3, 3, 3, 3, 8], [4, 8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 7, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [8, 8], [8, 8], [8], [7, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [8, 8], [7, 7], [3, 3, 3, 3, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [], [8, 8], [8, 8], [3, 3, 3, 3], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [3, 3, 3, 3], [4, 4]]
[[], [8, 8], [8, 8], [8], [3, 3, 3, 3], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 8], [], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 8], [8, 8], [], [4, 4, 4, 4], [7, 7], [8, 8], [8, 8], [], [4, 4, 4, 4], [3, 3, 3, 3]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [3, 3, 3, 3], [8], [4, 8], [4, 8], [8], [7, 7], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [7, 7], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [7], [8], [8], [8], [4, 7], [3, 3, 3, 3], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8]]
[[7], [8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [3, 3, 3, 3], [8], [4, 4, 4], [7], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [7], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [7], [8], [8], [4, 8], [8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [3, 3, 3, 3], [4, 7], [8], [8], [4, 7], [8], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [3, 3, 3, 3], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [4, 7], [4, 8], [4, 4, 4], [8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [4, 4], [4, 4, 4], [8], [8], [], [8], [8], [8], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [8], [8], [7], [8]]
[[8], [4, 4], [8], [4, 4], [3, 4], [8], [4, 4], [4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [7], [8], [8], [7], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [7], [8], [4, 4], [8], [8], [3], [7], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [3, 3, 3], [8], [8], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [3], [8], [], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [7], [8]]
[[8], [8], [8], [4], [7], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8], [4, 4], [3, 3, 3], [8], [8], [], [4, 4], [4, 4], [3, 4], [8], [8], [8]]
[[8], [8], [8], [3, 3, 3], [4, 4], [8], [4, 4], [], [8], [3], [8], [], [8], [8], [8], [8], [8], [8], [], [7], [8], [4, 4], [8], [8], [4, 4], [7], [8], [8], [], [8], [4, 4], [4, 4], [4, 4]]
[[], [8], [8], [4, 4], [4, 4], [4, 4], [8], [7], [], [8], [], [8], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [3, 3, 3], [8], [3], [7], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [7], [3], [8], [4, 4], [8], [3, 3, 3], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [], [8], [], [], [4, 4], [8], [8], [8], [], [8], [7]]
[[8], [], [4, 4], [], [7], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [3, 3, 3], [], [4, 4], [8], [8], [7], [], [3], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [7], [], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [3, 3, 3], [4, 4], [], [8], [4, 4], [], [3], [8], [7], [8], [8], [8], [], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [3, 3], [4, 4], [], [8], [], [8], [], [7], [8], [], [], [8], [3, 3], [], [], [], [8], [8], [7], [8], [4, 4], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [225], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [3, 8, 8, 8, 8, 8, 8, 8], [6, 7, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8, 8], [6, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8, 8, 8], [3, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 8, 8, 8], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [6, 7, 7]]
[[], [8, 8, 8], [8, 8, 8], [6, 8, 8, 8], [8, 8, 8], [8, 8], [7, 7, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8], [8, 8, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 6]]
[[], [8, 8, 8], [3, 3, 3, 3, 3, 3, 6], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7], [], [3, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [6, 8, 8], [7, 7, 8], [3, 3, 3, 3, 3, 3, 3, 3], [], [8, 8]]
[[], [6, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [3, 8, 8], [8], [8, 8], [8, 8], [8, 8], [7, 7, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 3, 3, 3, 3], [6, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 6], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8], [3, 3, 3, 3, 3, 3], [7, 7], [], [6, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [7, 7], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [], [6, 8], [8, 8], [8], [3, 3, 3, 3, 3], []]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8], [6, 8], [], [7, 7], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8], [7, 7], [8, 8], [6, 8], [], [], [3, 3, 3, 3, 3]]
[[8], [3, 3, 8], [3, 8], [6, 8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [8], [7, 7], [8], [3, 3, 8]]
[[8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 3, 8], [8], [8], [8], [8], [8], [8], [6, 8], [7, 7], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [3, 3, 8]]
[[8], [3, 8], [3, 8], [6, 7], [8], [3, 8], [3, 8], [3, 3, 7], [3, 3, 3, 3], [3, 8], [8], [8], [8], [3, 8], [3, 8], [3, 8], [8], [3, 8], [8], [8], [8], [8], [8]]
[[7], [8], [8], [8], [8], [8], [3, 8], [3, 8], [8], [3, 8], [8], [3, 3, 3, 3], [3, 8], [8], [3, 3, 7], [3, 8], [8], [3, 8], [8], [8], [3, 3, 6], [8], [8], [3, 8]]
[[8], [3, 3, 3, 3], [3, 8], [8], [7], [8], [3, 8], [8], [8], [3, 8], [3, 8], [8], [3, 8], [8], [6], [8], [8], [8], [7], [8], [8], [3, 8], [8], [3, 8], [3, 3, 3, 3]]
[[8], [8], [3, 8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [8], [6], [3, 8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [7], [3, 3, 3, 3], [8], [7], [8], [8], [8]]
[[8], [8], [8], [6], [8], [8], [8], [8], [3, 3, 3, 3], [8], [7], [8], [3, 3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [7], [3, 3, 3, 3], [8], [8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3], [8], [8], [7], [8], [8], [8], [8], [], [6], [8], [8], [7], [8]]
[[8], [8], [3, 3, 3], [8], [3, 3, 3], [3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [7], [8], [3, 3, 3], [7], [8], [8], [8], [3, 6]]
[[8], [8], [8], [], [8], [8], [8], [8], [8], [3, 7], [8], [8], [8], [8], [3, 3, 3], [7], [8], [8], [8], [8], [3, 3], [3, 3, 3], [8], [3, 3, 3], [8], [6], [8], [3, 3, 3], [8], []]
[[8], [8], [8], [8], [3, 3, 3], [8], [], [8], [8], [3, 3, 3], [8], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [6], [8], [], [7], [3, 3, 3], [8], [8], [8], [8], [7], [8]]
[[8], [8], [8], [], [7], [8], [8], [], [8], [8], [], [8], [6], [3, 3, 3], [8], [8], [8], [8], [7], [8], [3, 3, 3], [8], [3, 3, 3], [8], [3, 3, 3], [], [8], [8], [3, 3, 3], [8], [8], [8]]
[[8], [3, 3, 3], [8], [3, 3, 3], [], [8], [8], [], [8], [3, 3, 3], [8], [], [8], [8], [8], [6], [8], [8], [], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [7], [8], [8], [8], [8], [], [8], [7]]
[[], [8], [8], [8], [], [3, 3, 3], [8], [7], [8], [8], [], [3, 3, 3], [], [8], [], [8], [8], [8], [6], [], [8], [3, 3, 3], [8], [3, 3, 3], [7], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[], [8], [7], [3, 3, 3], [8], [], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [6], [8], [8], [], [8], [8], [8], [8], [8], [3, 3, 3], [8], [], [3, 3, 3], [], [], [8], [8], [8], [8], [], [8], [7]]
[[8], [], [8], [3, 3, 3], [7], [8], [8], [8], [3, 3, 3], [], [6], [8], [3, 3, 3], [], [8], [8], [], [3, 3, 3], [], [8], [8], [8], [7], [], [3, 3, 3], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [8]]
[[], [7], [], [8], [8], [8], [], [8], [8], [3, 3, 3], [8], [3, 3, 3], [], [], [8], [8], [], [3, 3, 3], [8], [7], [8], [8], [8], [6], [8], [8], [3, 3, 3], [], [8], [8], [8], [], [8], [3, 3, 3], [8], [], [8]]
[[8], [8], [8], [8], [8], [8], [3, 3], [3, 3], [8], [], [8], [3], [8], [3, 3], [3, 3], [8], [8], [8], [], [8], [3, 3], [7], [8], [], [], [8], [3, 3], [], [8], [], [8], [3, 3], [7], [8], [], [8], [6], [8]]
-EndAllocation

Instance: [[1], [224], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8], []]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4], []]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [8], [], [4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [], [8], [], [8]]
[[8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [], [8], [4, 4], [], [8], [], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [], [8], [], [8]]
[[8], [4, 4], [4, 4], [8], [], [4, 4], [], [], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], []]
-EndAllocation

Instance: [[1], [223], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,38. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8]]
[[], [7], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [7, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8], []]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [4, 4], [7]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 7], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [7], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8], [8, 8], [7], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [7], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 7], [8], [4, 8], [4, 8], [8]]
[[8], [8], [8], [4, 7], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8], [8], [], [8], [4, 4, 4], [4, 4, 4], [8], [4], [8], [4, 8], [], [8], [4, 7], [8], [8], [4, 4, 4], [8]]
[[8], [8], [], [4, 4, 4], [], [8], [4, 7], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [], [8], [8], [8]]
[[4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [7], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [8], [7], [], [8], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [7], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [7], [4, 4], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [], [8], [], [8], [8], [8], [], [8], [], [8]]
[[8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [7], [], [], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [7], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [], [4, 4], [], [8], [], [], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [], [8], [4, 4], [], [7], [], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [], [8], [], [8]]
[[8], [4, 4], [4, 4], [8], [], [4, 4], [], [], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [7], [4, 4], [8], [], [8], [], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], []]
-EndAllocation

Instance: [[1], [234], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [3, 3, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 8, 8, 8, 8], [3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 8, 8, 8, 8], [7, 7, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [3, 3, 3, 3, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8, 8], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [3, 3, 3, 3, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8], [7, 7, 8]]
[[], [8, 8, 8], [4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 8], [7, 7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [3, 3, 3, 3, 8], [8, 8], [8, 8], [4, 4, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [3, 3, 3, 3, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [7, 7]]
[[], [4, 8, 8], [], [3, 3, 3, 3, 7], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8]]
[[], [7, 7], [4, 4, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [], [8, 8], [3, 3, 3, 3], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [3, 3, 3, 3], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [7, 7], [], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [3, 3, 3, 3], [8, 8], [], [8, 8], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [7, 7], [4, 4, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [7, 7], [8], [4, 4], [8, 8], [3, 3, 3, 3], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [3, 3, 3, 3], [7, 7], [4, 8]]
[[8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [7, 7], [3, 3, 3, 3]]
[[7], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 7], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [3, 3, 3, 3], [8]]
[[8], [7], [8], [3, 3, 3, 3], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [7], [4, 8]]
[[8], [8], [8], [7], [8], [3, 3, 3, 3], [8], [8], [4, 8], [7], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [7], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [3, 3, 3, 3], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 7], [8], [8]]
[[8], [8], [8], [3, 3, 3, 3], [8], [4, 4, 4], [8], [8], [], [8], [], [4, 7], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [4, 7], [8]]
[[7], [4, 4, 4], [], [8], [8], [], [], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [7], [8]]
[[8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [3], [3, 3, 3], [8], [7], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], []]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [4, 4], [4, 4], [], [3], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [8], [4, 4], [8], [], [7], [4, 4], [8]]
[[8], [8], [8], [], [8], [4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [7], [4, 4], [], [8], [7], [8], [], [8], [3, 3, 3], [4, 4], [8], [4, 4], [8], [8], [8], [3, 4], [8]]
[[8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [3], [8], [8], [8], [3, 3, 3], [8], [], [8], [7], [], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4]]
[[8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [7], [7], [3, 3, 3], [8], [4, 4], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [3], [8], [], [], [8], [8]]
[[8], [7], [4, 4], [4, 4], [], [8], [8], [8], [7], [3, 3, 3], [], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [], [4, 4], [8], [3], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], []]
[[8], [8], [3, 3, 3], [4, 4], [], [3], [7], [8], [8], [4, 4], [8], [], [8], [], [], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [], [7], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4]]
[[8], [], [8], [8], [], [8], [], [8], [8], [], [4, 4], [7], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [3], [8], [4, 4], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [], [7]]
[[8], [8], [4, 4], [], [7], [], [], [8], [8], [8], [8], [8], [], [8], [], [], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [7], [8], [], [4, 4], [4, 4], [8], [3, 3], [], [4, 4], [8], [4, 4], [8], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [233], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 7, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8]]
[[], [7, 7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8], [6, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [3, 3, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 7, 7]]
[[], [8, 8, 8, 8], [6, 8, 8, 8], [8, 8, 8, 8], [7, 7], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [3, 3, 3, 3, 3], [8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 8, 8], [6], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8], [3, 3, 3, 3, 3, 3, 8], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [6, 7, 7]]
[[], [8, 8, 8], [], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [6, 7, 7], [3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 8], [8, 8], [3, 3, 3, 3, 3, 6], [8, 8], [3, 3, 3, 3, 3, 3, 3], [7, 7, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [3, 8, 8], [8, 8], [8, 8], [7, 7]]
[[], [8, 8], [8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [6, 7], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 7], [8, 8]]
[[], [8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [], [3, 3, 3, 6], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [3, 3, 3, 3, 3], [7, 7], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [6, 8], [8, 8]]
[[], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [6], [7, 7], [], [8, 8], [], [3, 3, 3, 3, 3], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [], [8, 8], [6], [8, 8], [3, 3, 3, 3, 3], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [7, 7], [8, 8], [8], [8, 8]]
[[], [6], [], [8, 8], [], [8, 8], [], [7, 7], [3, 3, 3, 3, 3], [], [8, 8], [3, 3, 3, 3, 3], [8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [8], [8], [8], [8], [3, 8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [3, 3, 8], [8], [8], [8], [3, 3, 8], [3, 3, 8], [6, 8], [8], [3, 3, 8], [8], [8], [7, 7], [8]]
[[8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 8], [8], [6, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 8], [3, 3, 8], [8], [7, 7], [3, 3, 8]]
[[8], [8], [3, 8], [8], [3, 8], [3, 3, 3, 3], [3, 8], [7], [3, 8], [6, 7], [8], [3, 8], [3, 8], [8], [3, 8], [8], [8], [8], [8], [3, 8], [3, 8], [8], [3, 8], [3, 8]]
[[8], [6, 7], [8], [3, 3, 3, 3], [3, 8], [3, 8], [8], [8], [8], [3, 8], [3, 7], [8], [8], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [8], [3, 8]]
[[8], [3, 8], [3, 8], [7], [8], [3, 3, 3, 3], [3, 8], [8], [8], [7], [8], [8], [3, 8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [3, 8], [6], [8], [8], [3, 8], [8], [3, 8]]
[[8], [8], [8], [8], [7], [8], [8], [3, 8], [8], [8], [8], [6], [8], [3, 3, 3, 3], [8], [8], [3, 8], [8], [8], [8], [8], [8], [8], [8], [3, 7], [3, 3, 3, 3], [3, 3, 3, 3]]
[[8], [8], [8], [3, 3, 3, 3], [8], [8], [6], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 3], [3, 3, 3, 3], [3, 7], [8]]
[[7], [8], [], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [6], [8], [8], [3, 3, 3], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [7], [8]]
[[8], [8], [8], [8], [7], [8], [3, 3, 3], [], [6], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [7], [8], [8], [8], [8]]
[[8], [8], [3, 3, 3], [], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [6], [7], [8], [], [3, 3, 3]]
[[8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [6], [], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [7], [8], [8], [], [8], [], [7], [8], [8]]
[[8], [8], [7], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3], [8], [8], [6], [], [], [3, 3, 3], [3, 7], [8], [], [8], [3, 3, 3], [], [8], [8], [8], [8], [8], [3, 3, 3], [8]]
[[8], [8], [3, 3, 3], [], [8], [8], [8], [], [8], [8], [8], [8], [], [], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [6], [8], [7], [], [8], [8], [8], [3, 3, 3], [7], [8], [8]]
[[8], [8], [8], [8], [], [8], [8], [], [8], [8], [6], [8], [8], [8], [8], [], [7], [7], [3, 3, 3], [8], [3, 3, 3], [3, 3, 3], [8], [], [3, 3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [], [], [8], [8]]
[[8], [3, 3, 3], [8], [8], [6], [8], [8], [8], [7], [3, 3, 3], [], [], [8], [8], [8], [], [], [7], [8], [8], [8], [], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [], [8], [8], [8], []]
[[8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [7], [8], [8], [], [8], [], [8], [], [3, 3, 3], [], [8], [8], [], [8], [8], [8], [8], [], [7], [8], [8], [3, 3, 3], [3, 3, 3], [8], [6], [8], [], [8], [], [8], [8]]
[[8], [3, 3, 3], [3, 3, 3], [8], [], [8], [], [8], [8], [], [], [7], [8], [8], [8], [8], [8], [3, 3], [], [], [8], [8], [3, 3, 3], [8], [], [3, 6], [8], [], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [], [7]]
[[8], [8], [], [3, 3], [7], [8], [], [8], [8], [8], [3, 3], [8], [3, 3], [8], [8], [], [8], [8], [], [8], [8], [8], [8], [3], [7], [8], [], [3, 3], [], [8], [3, 3], [], [3, 3], [3, 3], [8], [8], [8], [8], [6]]
-EndAllocation

Instance: [[1], [232], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], []]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [], [8, 8], [4, 8, 8], [], [8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [8, 8], [8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [], [8]]
[[], [8], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [8], [], [8], [8]]
[[8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [], [], [4, 4], [8], [8], [8], [], [8], [], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8]]
[[], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [], [], [8], [8], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [], [8], []]
[[8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [4, 4], [], [], [8], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [231], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8]]
[[7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 7, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7], [8, 8, 8, 8], []]
[[], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 7], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [4, 4, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4], [], [8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [7, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 8], [8, 8]]
[[], [8, 8], [8], [], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [7, 8], [4, 4, 4, 4], [8, 8], [], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [7], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [4, 8], [4, 8], [8], [7], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [7], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8]]
[[7], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [8], [8], [], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [8], [4, 7], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [], [7], [8], [4, 4, 4], [], [4, 4, 4], [8], [], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4, 8], [8], [4, 8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [7], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [], [], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [8], [], [8], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [4, 4], [4, 4], []]
[[], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [], [4, 4], [8], [8], [7], [8], [8], [], [4, 4], [8]]
[[8], [8], [8], [], [8], [8], [], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [], [8], [], [8], [7], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [], [8]]
[[8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [], [4, 4], [], [], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [], [8]]
[[8], [8], [8], [], [8], [8], [], [4, 4], [8], [7], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [230], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 7, 7, 8], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 7, 7], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [7, 7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [7, 7], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8], [], [7, 7], [8, 8]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [7, 7], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [7, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [7, 7], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 7], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 7], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [8], [8]]
[[8], [7], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 7], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4, 7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [8], [8], [8], [8], [], [8], [8]]
[[7], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [7], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [7], [8], [7], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4]]
[[], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [7], [8], [7], [8], [4, 4], [8], [8], [8]]
[[8], [7], [7], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [8]]
[[8], [8], [8], [8], [8], [8], [7], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [7], [8], [4, 4], [8], [4, 4], [8], [8], [], [7]]
[[7], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [8], [8], [8], [7], [8], [4, 4], [], [], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], []]
[[8], [], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [4, 4], [7], [], [8], [8], [], [7], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [], [4, 4], []]
[[], [4, 4], [], [8], [], [], [4, 4], [8], [], [8], [], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [7], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [7], [8], [4, 4]]
[[8], [4, 4], [], [8], [], [], [], [8], [], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [], [8], [8], [4, 4], [8], [], [8], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [7], [4, 4]]
-EndAllocation

Instance: [[1], [229], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,39. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,39:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 7, 7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 7, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [7, 7, 7, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 7, 7, 7], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8], [7, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 7], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [7, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [7, 7, 7], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 7], [4, 4, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [7], [7, 7], [8, 8]]
[[], [], [4, 4, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [8, 8], [8, 8], [], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [7, 7], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [7], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 7], [4, 8], [4, 8], [8], [4, 4, 4], [8], [7, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [7, 7], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [7], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 7], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [8], [4, 8], [4, 7], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [7], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [8], [8]]
[[8], [7], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 7], [4, 8], [8], [4, 7], [4, 4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [7], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4, 7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [8], [8], [8], [8], [], [7], [8]]
[[7], [7], [8], [8], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 8], [8], [], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [7], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [7], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [7], [], [7], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4]]
[[], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [7], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [7], [8], [7], [8], [4, 4], [8], [4, 4], [8]]
[[8], [7], [7], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], []]
[[8], [8], [8], [8], [8], [8], [7], [4, 4], [8], [4, 4], [7], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [7], [8], [4, 4], [7], [4, 4], [8], [8], [], [7]]
[[7], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [8], [8], [8], [7], [], [4, 4], [], [], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [7], []]
[[8], [], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [4, 4], [7], [], [8], [8], [], [7], [7], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [4, 4], []]
[[], [4, 4], [], [], [7], [], [4, 4], [8], [], [8], [], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [7], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [7], [8], [4, 4]]
[[8], [4, 4], [], [8], [], [], [], [8], [], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [], [8], [8], [4, 4], [7], [], [8], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [7], [4, 4]]
-EndAllocation

Instance: [[1], [240], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 4, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4], [8, 8, 8], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 8, 8], [], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], []]
[[], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], []]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8]]
[[8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 8], [], [], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8]]
[[8], [], [8], [8], [8], [8], [], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], []]
[[8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [], [], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], []]
[[8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [8], [8], [], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], []]
[[8], [8], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [8]]
[[8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [239], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 4, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8], [], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8], [4, 4, 4, 4, 4, 7]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8]]
[[], [8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [7, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 8, 8], [], [8, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [], [4, 4, 4, 7], [4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], []]
[[], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [], [8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8], [4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [7, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [7]]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [7], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 7], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8]]
[[8], [8], [7], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 7], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 8], [], [], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [7], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [7], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [7], [], [8]]
[[8], [], [8], [8], [8], [8], [], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [], [8], [4, 4], [7], [8], [4, 4], [8], [8], []]
[[8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [], [], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [7]]
[[8], [4, 4], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [8], [8], [], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [7], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], []]
[[8], [8], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [], [], [8], [8], [], [4, 4], [7], [4, 4], [], [8], [8], [4, 4], [4, 4], [8]]
[[7], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8]]
-EndAllocation

Instance: [[1], [238], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [8, 8, 8]]
[[], [4, 4, 4, 8], [4, 4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [6], [4, 4, 4, 4, 4, 4], [4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], []]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [6, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 6], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 6], [], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 6], [8], [4, 8], [8], [8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [6, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [6], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 6], [8]]
[[8], [8], [4, 8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [6], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [6], [8], [8], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [8], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [6], [4, 4, 4], [8], [4, 8], [8], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [6], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [6], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [6], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], []]
[[], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [6], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [6], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [], [8], [4, 4]]
[[], [4, 4], [8], [], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [6], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [], [8]]
[[8], [], [], [8], [8], [8], [4, 4], [], [8], [6], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [6], [8], [4, 4], [8], [8], [8], [], [8], [], [], [8], [8], [], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4]]
[[6], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [8], [4, 4], [], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [237], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 7], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [8, 8, 8]]
[[], [4, 4, 4], [4, 4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7]]
[[], [6], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], []]
[[], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [6, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 6], [8, 8], [], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 7], [4, 4, 4, 4], [], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 6], [], [4, 4, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[], [4, 4, 4, 4], [], [8, 8], [8], [4, 4, 4, 4], [8, 8], [], [4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [8, 8], [], [8, 8], [4, 4, 7], [4, 4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 6], [8], [4, 7], [8], [8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [6, 8], [8], [7], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[7], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [6], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 7], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 7], [4, 6], [8]]
[[8], [8], [4, 7], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [6], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [6], [8], [8], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [], [8], [8], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [6], [4, 4, 4], [8], [4, 8], [8], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [6], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [6], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [7], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [6], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [7], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [6], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [], [4, 4], [4, 4], []]
[[], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [6], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [6], [7], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [], [8], [4, 4]]
[[], [7], [8], [], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [6], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [], [8]]
[[8], [], [], [8], [8], [8], [4, 4], [], [8], [6], [8], [8], [4, 4], [], [4, 4], [8], [7], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [7], [8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [6], [8], [4, 4], [8], [8], [8], [], [8], [], [], [8], [8], [], [], [4, 4], [], [4, 4], [], [8], [4, 4], [4, 4]]
[[6], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [7], [8], [], [8], [4, 4], [], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [236], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8], [8, 8, 8]]
[[], [4, 4, 4, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], []]
[[], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[], [4, 4, 4, 4], [], [8, 8], [8], [4, 4, 4, 4], [8, 8], [], [4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [4, 4], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [8], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [], [4, 4, 4], [8], [4, 8], [8], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], []]
[[], [8], [4, 4], [8], [4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [], [8], [4, 4]]
[[], [4, 4], [8], [], [], [4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [], [8]]
[[8], [], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [4], [8], [], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [4], [], [8], [], [], [8], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [8], [], [8], [4, 4], [], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4], [8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [235], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,40. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,40:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8], [8, 8, 8]]
[[], [4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7]]
[[], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 7, 8], [4, 4, 4, 4, 4], [4, 4, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], []]
[[], [8, 8], [4, 8], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 7], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [], [4, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], []]
[[], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 7], [4, 4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 7], [8], [8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [7], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[7], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [7], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8]]
[[8], [8], [4, 7], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[], [8], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [], [8], [8], [4, 4, 4], [], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [], [4, 4, 4], [8], [4, 8], [8], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [7], [4, 4], [8], [4, 4], [8], [8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [7], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [8], [], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [], [4, 4], [4, 4], []]
[[], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [], [7], [4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [], [8], [4, 4]]
[[], [7], [8], [], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [4], [8]]
[[8], [], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [], [4], [8], [7], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [7], [8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [4], [], [8], [], [], [8], [8], [], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [], [8], [8], [8], [4, 4], [], [4, 4], [], [7], [8], [], [8], [4, 4], [], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4], [8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [246], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 7, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 7, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4], [7, 7, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 7, 7], [8, 8, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 7, 7], [4, 4, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [7, 7]]
[[], [4, 4, 4, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [7, 7], [8, 8]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8]]
[[], [8], [8, 8], [4, 4, 4, 4], [], [7, 7], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [7, 7], [4, 4, 4, 4], [], [], [8, 8]]
[[], [7, 7], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8], [], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [7, 7], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [7, 7], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4]]
[[7], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [7], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 8], [8], [7], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [4, 7], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [7], [8], [7], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4], [8], [8], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4]]
[[8], [8], [8], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [7], [4, 7], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [7], [], [4, 4, 4], [], [4, 4, 4]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [7], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [7], [4, 4]]
[[8], [7], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4]]
[[8], [8], [8], [], [7], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [7], [8], [4, 4], []]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [7], [7], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [8], [], [4, 4], [7], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [], [8], [], [8]]
[[], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [7], [8], [8], [], [8], [4, 4], [8], [4, 4], [], [8], [8], [], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[], [4, 4], [8], [], [8], [8], [4, 4], [], [4, 4], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [7], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [7], [8]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [], [7], [4, 4], [7], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], []]
[[8], [4, 4], [], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [7], [], [4, 4], [8], [8], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [7], [8], [8], [], [8], [8]]
[[8], [4, 4], [], [8], [], [8], [4, 4], [], [8], [8], [], [8], [8], [], [8], [8], [7], [8], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [], [], [8], [4, 4], [7], [4, 4], [4, 4], [8]]
-EndAllocation

Instance: [[1], [245], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8]]
[[], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 5, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [5, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [3, 3, 3, 3, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [5, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 5, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8]]
[[], [3, 3, 3, 3, 5], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [], [4, 4, 4, 4, 4, 4], [5, 8, 8], [8, 8], [4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4], [5, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8], [], [3, 3, 3, 3, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [5, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 4, 5], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [5, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [3, 3, 3, 3, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [5], [3, 3, 3, 3, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8], [3, 3, 3, 3, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 5], [8, 8], [8, 8], [4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [3, 3, 3, 3], [8, 8], [4, 4, 4], [5], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [5, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [3, 3, 3, 3], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 5], [8, 8], [4, 4, 4, 4], [], [], []]
[[8], [8], [3, 3, 3, 3], [8], [5, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [3, 3, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [3, 3, 8], [8], [4, 4, 4], [8], [5, 8]]
[[8], [8], [4, 8], [5, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [3, 3, 3, 3]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [5, 8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 8], [3, 3, 3, 3], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [5, 8], [8], [8], [8], [8], [3, 3, 3, 3], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8]]
[[8], [3, 3, 3, 3], [5], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [8], [5], [8], [], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [5], [4, 4, 4], [8], [8], [4, 4, 4], [3, 3, 3, 3], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [8], []]
[[8], [4, 4], [3, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [3, 3, 3], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [5], [4, 4], [8], [8], [8], [4, 4]]
[[8], [8], [8], [5], [4, 4], [8], [8], [8], [4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [3], [4, 4], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [3], [8], [4, 4], [4, 5], [3, 3, 3], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [3], [4, 4], [8], [8], [8], [4, 4], [3, 3, 3], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [5]]
[[8], [8], [8], [4, 4], [3], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [5], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [3, 3, 3], [4], [8]]
[[8], [4, 4], [], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [3, 3, 3], [8], [4], [8], [], [8], [4, 4], [8], [4, 4], [], [8], [5], [8], [8], [4, 4], [8], [4, 4], [4, 4], [3]]
[[8], [8], [8], [8], [4, 4], [], [3], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [5], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4], [8], [3, 3, 3], [4, 4], [8], [8], [], [], [8]]
[[8], [8], [8], [8], [8], [8], [], [], [4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [3, 5], [8], [4, 4], [], [4, 4], [3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [3, 4], [], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [4, 4], [], [], [8], [8], [8], [3, 3, 3], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [], [8], [8], [5], [8], [8], [8], [8]]
[[8], [], [8], [8], [], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [3, 3, 3], [8], [], [4, 4], [8], [8], [4, 4], [], [5], [], [8], [8], [8], [8], [8], [4, 4], [3, 4], [8], [4, 4], [8], [], [8], [], [4, 4]]
[[], [8], [], [], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [4], [4, 4], [], [4, 4], [8], [3, 3], [8], [5], [4, 4], [8], [8], [4, 4], [8], [8], [8], [3, 3], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [8], []]
-EndAllocation

Instance: [[1], [244], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [3, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8], [6, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [3, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [3, 3, 3, 3, 3, 3, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [3, 3, 3, 8, 8, 8, 8], [8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 7, 7, 8, 8]]
[[], [8, 8, 8, 8], [7, 7, 8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8], [8, 8, 8, 8], [8, 8, 8, 8], [6, 8, 8, 8], [7, 7, 8, 8], [8, 8, 8, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8, 8], [6, 7, 7, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3, 6], [8, 8, 8], [3, 8, 8, 8], [], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 8, 8, 8], [8, 8, 8], [7, 7, 8]]
[[], [], [7, 7, 8], [6, 8, 8], [8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [6, 8, 8], [3, 3, 3, 3, 3, 8], [], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 7, 7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [3, 3, 8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [6, 7, 7]]
[[], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [7, 7], [8, 8], [8, 8], [8, 8], [3, 8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [8, 8], [6, 8], [7, 7], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [7, 7], [3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [], [6, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [7, 7], [3, 3, 3, 3, 3], [6, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 8], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [3, 7, 7], [3, 3, 3, 3, 3], [8, 8], [], [], [8, 8], [3, 3, 3, 3, 3], [8], [8, 8], [6, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [3, 3, 3, 3, 3], [8], [6], [8, 8], [8, 8], [], [8, 8], [8, 8], [3, 3, 3, 3, 3], [3, 8], [7, 7], [3, 3, 3, 3, 3], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [3, 8], [6, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [], []]
[[8], [3, 3, 8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [8], [8], [3, 3, 8], [8], [8], [6, 8], [8], [8], [7, 7], [3, 3, 8], [8], [3, 3, 8]]
[[8], [8], [3, 3, 8], [8], [8], [8], [8], [7, 7], [8], [8], [3, 3, 3, 3], [3, 3, 8], [8], [8], [8], [6, 8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 3, 8], [8], [8], [3, 3, 8]]
[[8], [8], [3, 8], [7], [8], [3, 8], [8], [3, 8], [8], [3, 8], [3, 8], [8], [6, 7], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [8], [8], [8], [3, 8], [3, 3, 3, 3]]
[[8], [3, 8], [8], [8], [3, 8], [3, 8], [3, 8], [8], [3, 8], [8], [8], [8], [8], [3, 3, 6], [7], [3, 8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [3, 3, 7], [3, 8], [3, 8], [8]]
[[8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [8], [8], [8], [8], [6], [3, 3, 3, 3], [3, 8], [3, 8], [8], [3, 8], [8], [7], [8], [8], [7], [8], [8], [3, 8], [3, 3, 3, 3], [3, 8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [8], [3, 8], [6], [3, 3, 3, 3], [8], [3, 8], [8], [7], [8], [3, 8], [7], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 6], [8], [3, 3, 3, 3], [8], [7], [8], [3, 3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [8], [3, 8], [3, 8], [8], [8], [8], [7], [], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [8], [6], [3, 3, 3, 3], [8], [8], [8], [8], [8], [7], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [7], [8], [8], [8], [8], [3, 3, 3, 3], [8], [8], []]
[[8], [3, 3, 3], [3, 3, 3], [8], [7], [8], [8], [8], [7], [8], [8], [3, 3, 3], [8], [8], [8], [8], [3, 6], [8], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [], [8], [8], [3, 3, 3], [8], [8], [7], [7], [8], [8], [3, 3, 3], [6], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3], [8], [8]]
[[8], [6], [8], [8], [8], [], [], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [8], [7], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [3], [8], [3, 3, 3], [8], [7], [8], [8], [8]]
[[7], [8], [3, 3, 3], [3], [8], [8], [8], [], [3, 3, 3], [8], [8], [], [3, 3, 3], [8], [7], [8], [], [8], [6], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3]]
[[8], [8], [8], [], [3, 3, 3], [8], [8], [3, 3, 3], [7], [7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [3], [], [], [8], [8], [3, 3, 3], [3, 3, 3], [6]]
[[8], [8], [], [8], [3], [8], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3], [8], [], [8], [], [7], [], [8], [8], [8], [8], [8], [7], [8], [8], [3, 3, 3], [8], [6], [3, 3, 3]]
[[6], [3, 3, 3], [8], [8], [8], [3, 3, 3], [3, 3, 3], [8], [8], [7], [8], [8], [3, 3, 3], [8], [], [], [8], [8], [8], [8], [], [8], [8], [8], [], [8], [8], [7], [8], [8], [3, 3, 3], [3], [8], [8], [], [], [8]]
[[8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [], [8], [8], [6], [8], [8], [8], [8], [], [3, 3, 3], [8], [8], [8], [], [], [], [8], [3, 3, 3], [8], [7], [8], [7], [], [3, 3, 3], [8], [8], [], [8], [3, 3, 3], [3]]
[[8], [7], [], [8], [8], [3, 3, 3], [], [8], [7], [], [8], [3, 3, 3], [8], [], [8], [], [3, 6], [], [8], [8], [8], [3, 3, 3], [], [8], [3, 3, 3], [8], [], [8], [8], [8], [], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8]]
[[8], [], [8], [8], [], [8], [], [3, 3, 3], [], [8], [8], [8], [8], [3, 3, 3], [], [8], [3, 3, 3], [8], [], [], [8], [8], [8], [], [8], [], [8], [8], [8], [3, 6], [3, 3, 3], [8], [7], [8], [3, 3, 3], [8], [7], [8], [], [8]]
[[8], [8], [3, 3], [], [8], [3, 3], [3, 3], [8], [8], [], [8], [8], [], [], [7], [8], [8], [8], [3, 3], [8], [8], [8], [8], [6], [3, 3], [7], [8], [8], [3, 3], [8], [], [8], [3, 3], [3, 3], [], [], [8], [8], [8], [8], []]
-EndAllocation

Instance: [[1], [243], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 7, 8, 8], [8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 7], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8]]
[[], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 7], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 7], [4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [7, 8], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [7], [], [8, 8], [4, 4, 4, 4], [4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 7], [4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [8, 8], [4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], []]
[[8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [7], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [7], [8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 8], [4, 7], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 7], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [4, 8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [4, 8]]
[[8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [7], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [4, 4], [4, 7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], []]
[[8], [4, 4], [4, 4], [8], [7], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [7], [4, 4], [4, 4], [8]]
[[7], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [7], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4], [4, 4], [8]]
[[8], [4, 4], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4], [], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [7], [8], [4, 4], [8], [4, 4], [4, 4], []]
[[8], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4], [], [], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [], [], [8]]
[[8], [8], [4, 4], [8], [8], [8], [], [], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [], [], [8], [4, 4], [8], [7], [8], [4, 4], [], [8], [8], [4, 4], [4], [4, 4], [4, 4], [8]]
[[8], [7], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [4, 4], [], [], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [8], [8], [8], [4]]
[[8], [], [8], [8], [], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [4, 4], [7], [8], [4, 4], [8], [], [4, 4], [4], [4, 4]]
[[], [8], [], [], [8], [8], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [7], [8], [8], [8], [8], [4, 4], [8], [8], [4], [], [], [8], [4, 4], [], [8], []]
-EndAllocation

Instance: [[1], [242], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 6, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4]]
[[], [8, 8, 8, 8], [8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8], [], [4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 6], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [6, 8, 8], [4, 4, 4, 8], [8]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [6, 8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [6, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [4, 4, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [6, 8], [4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [6], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 6], [8, 8], [8, 8], [8, 8], [8, 8], [8], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [6, 8], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 6], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [6, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [6], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [6], [8]]
[[8], [8], [8], [4, 4, 4], [8], [6], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [4, 8], [8], [8], [], [4, 4, 4], [4, 8], [8], [8], [4, 6], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8]]
[[8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [6], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [6], [8], [8], [4, 4, 4], [8], [], [8], [8], [4, 8], [], [8], [], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 6], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [], [4, 6]]
[[8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [4, 6], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [6], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [4, 4], [4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [6], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [], [8]]
[[8], [], [4, 4], [], [], [4, 4], [4], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [6], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [6], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [4], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [6], [4, 4], [4], [], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [], [4, 4], [8], [], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [6], [8], [], [8], [8], [8], [4, 4], [], [], [4, 4], [], [8], [], [8], [8], [4, 4], [], [], [8], [4], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [8], [4], [], [4, 4], [8], [4, 4], [8], [6], [], [], [4, 4], [8], [8], [8], [4, 4], [8]]
[[8], [8], [4, 4], [], [8], [8], [8], [8], [], [6], [], [8], [], [8], [4, 4], [], [4, 4], [4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
-EndAllocation

Instance: [[1], [241], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,41. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4]]
[[], [8, 8, 8, 8], [5], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4], [4, 5, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8, 8], [8, 8, 8], [5, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [5], [4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [5, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 4, 8], [8]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [5, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [5, 8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [5], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8], [4, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4], [], [8, 8], [5, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 5], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [5, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [5, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [5, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 5], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 4, 5], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8]]
[[8], [8], [4, 8], [5, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 5], [8], [8], [8], [8], [4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [4, 8], [8], [8], [], [4, 5], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [5], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [], [8], [5], [4, 8], [], [8], [], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [5], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [], [4, 5], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [5], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [5], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [4, 4], [4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [4, 5], [4, 4], [8], [8], [], [8], [], [8]]
[[8], [], [4, 4], [], [], [4, 4], [4], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [5], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [5], [8], [8], [], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4], [], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [], [4, 4], [5], [], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [], [], [4, 4], [], [8], [], [8], [8], [4, 4], [5], [], [8], [4], [4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [5], [8], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [8], [], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4], [8]]
[[8], [8], [4, 4], [], [8], [8], [8], [8], [], [5], [], [8], [], [8], [4, 4], [], [4, 4], [4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [4, 4]]
-EndAllocation

Instance: [[1], [252], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], []]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [4], [8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4, 4], [], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4]]
[[8], [4], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8]]
[[], [4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8]]
[[8], [4, 4], [4, 4], [], [8], [8], [8], [8], [4, 4], [4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [4], [4, 4]]
[[8], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [], [8], [8]]
[[], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], []]
[[8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [8], [8]]
[[], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [], [8], [], [], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [4, 4], [], [4, 4], [4, 4], [], [8], [8], [8], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [], [], [8], [4, 4]]
[[8], [8], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [4], [8], [8], [8]]
-EndAllocation

Instance: [[1], [251], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 8, 8, 8], [8, 8], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 7], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [8, 8, 8]]
[[], [4], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 7], [4, 4, 4, 8, 8], [], [4, 4, 4, 4, 4, 4, 4]]
[[], [7], [8], [4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [7], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 7], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 7, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [7, 8], [4, 4, 4, 4], [], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 7], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4], [8, 8], [], [7, 8], [8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 7], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8]]
[[8], [8], [8], [8], [8], [4, 8], [4, 8], [7], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [7], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8]]
[[8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 7]]
[[8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [7], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [4, 4, 4], [4, 4], [], [8]]
[[7], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[], [8], [], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [7], [8], [8], [8], [4, 4, 4], [], [4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [7], [4, 4], [8], [4], [8]]
[[], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [7], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [], [8], [4], [8], [4, 4], [4, 4], [8], [8]]
[[7], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [], [8], [8]]
[[8], [8], [], [8], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4], [8], [8], [], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [7], [], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [8], [4], [], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [8], [7], [], [4, 4], [], [4, 4], [], [8], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8]]
[[], [4, 4], [4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [7], [4, 4], [8], [], [8], [], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [], [8], []]
[[], [4], [], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [7], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [8], [], [], [8], [4, 4], [8]]
[[], [8], [], [4], [8], [], [], [4, 4], [], [8], [8], [8], [7], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8]]
-EndAllocation

Instance: [[1], [250], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8, 8], [4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 7]]
[[], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7], [7, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [], [7, 7, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 7, 7], [8], [4, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [7, 7], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 7, 7], [8, 8], [], [8, 8], [], [8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [4, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 8], [7, 7], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [7, 7], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [7, 7], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [7], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [7], [4, 8]]
[[8], [4, 4, 4], [4, 8], [7], [4, 8], [8], [8], [8], [4, 8], [4, 7], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [4, 4, 4], [8], [8], [7], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8]]
[[8], [7], [7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [], [8], [], [7], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4], [8], [4, 7], [8], [8], [4, 8], [], [8]]
[[8], [4, 4, 4], [8], [8], [8], [], [8], [8], [], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4], [], [7], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4], [8], [8], [4, 4], [4, 4], [7], [4, 4], [8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4], [4, 4], [4, 4], [8], [4, 4], [], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [7], [8], [8], [8], [8], [], [7], [4, 4], [8], [4], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [4, 4], [8], [8], [], [], [8], [8], [7], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [], [4, 4], [8], [8], [7], [4, 4], [8], [8], [7], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [4, 4], [8], [], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [], [4, 4], [], [4, 4], [7], [8], [4, 4], [4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [7], [8], [], [8], [8], [8], [8]]
[[8], [8], [], [8], [4, 4], [8], [], [7], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [7], [], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4], [4, 4], [], [8]]
[[], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [4, 4], [], [], [4, 4]]
[[8], [], [8], [], [8], [4], [], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [7], [7], [], [4, 4], [], [], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [], [8], [], [4, 4], [4, 4], [4], [], [], [4, 4], [8], [8], [4, 4], [8], [], [], [7], [8], [7], [8], [8], [8], [], [], [8], [], [4, 4], [4, 4], [8], [8], [8]]
-EndAllocation

Instance: [[1], [249], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 7, 7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7, 7], [8, 8, 8, 8, 8, 8], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 7]]
[[], [7, 7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8], [8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7], [7, 7, 8, 8], [8, 8, 8, 8]]
[[], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 7], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 7, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [], [7, 7, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [7, 7, 7], [8], [4, 8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [7, 7, 7], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 8], [8, 8]]
[[], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 7, 7], [8, 8], [], [8, 8], [], [8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [4, 8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [7], [8, 8], [], [8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 8], [7, 7], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [7, 7], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [7], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [8], [7, 7], [4, 4, 4], [8], [4, 8], [4, 7], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [4, 7], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [7], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [7], [4, 8]]
[[8], [4, 4, 4], [4, 8], [7], [4, 8], [8], [8], [7], [4, 8], [4, 7], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [4, 4, 4], [8], [8], [7], [4, 7], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8]]
[[8], [7], [7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4], [8], [], [8], [8], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 7], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [7], [4, 8], [8], [], [8], [], [7], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4], [8], [4, 7], [8], [8], [4, 8], [], [8]]
[[8], [4, 4, 4], [8], [7], [8], [], [8], [8], [], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4], [], [7], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [7], [4, 4], [8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [7], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4], [8], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [7], [8], [7], [8], [8], [], [7], [4, 4], [8], [4], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [], [7], [4, 4], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [4], [8], [7], [8], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [4, 4], [8], [8], [], [], [8], [8], [7], [4, 4], [], [8], [8], [4, 4], [8]]
[[8], [8], [], [4, 4], [8], [8], [7], [4, 4], [], [8], [7], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [4, 4], [8], [], [8], [7], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [], [4, 4], [], [4, 4], [7], [8], [4, 4], [4], [4, 4], [8], [4, 4], [7], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [7], [8], [], [8], [8], [8], [8]]
[[8], [8], [], [8], [4, 4], [8], [], [7], [8], [7], [8], [8], [4, 4], [], [8], [4, 4], [8], [4], [8], [8], [8], [7], [], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [8]]
[[], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [7], [8], [], [], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [7], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4], [], [4, 4]]
[[8], [], [8], [], [8], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [], [7], [7], [], [4, 4], [], [], []]
[[8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [7], [4, 4], [], [8], [], [4, 4], [4, 4], [4], [], [], [4, 4], [8], [8], [4, 4], [8], [], [], [7], [8], [7], [8], [8], [8], [], [], [8], [], [4, 4], [4, 4], [8], [8], [8]]
-EndAllocation

Instance: [[1], [248], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [], [], [8, 8, 8]]
[[], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], []]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [4, 8], [8]]
[[8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], []]
[[8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [4, 8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [], [4, 4], [], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [], [], [], [8], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [], [4, 4], [], [8], []]
[[8], [], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [], [], [8], [], [4, 4], [8], [], [8]]
[[8], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [], [4, 4], [8], [], [8], [8]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [8], [], [], [8], [], [8], [4, 4], [], [], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [247], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,42. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,42:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [7, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7], [8], [8, 8, 8], [], [], [8, 8, 8]]
[[], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 7, 8], [4, 8, 8], [], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4]]
[[], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], []]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8]]
[[], [8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], []]
[[], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7, 8]]
[[], [8, 8], [8, 8], [], [7, 8], [], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 7], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 7], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8]]
[[7], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 8], [8], [8], [7], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 7], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [], [4, 8], [8]]
[[8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [7], []]
[[8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [7], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [4, 8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [7], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [7], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[7], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [], [4, 4], [7], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [7], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [], [8], [8], [8], [8], [8], [], [], [4, 4], [8], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [], [4, 4], [], [8], []]
[[8], [], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [7], [], [8], [8], [8], [8], [], [], [8], [], [4, 4], [8], [], [8]]
[[8], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [7], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [], [4, 4], [8], [], [8], [8]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [8], [], [], [8], [], [8], [4, 4], [], [7], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [258], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8, 8, 8, 8, 8, 8], [4, 6, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8], [4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4, 6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [], [8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4]]
[[], [8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 8, 8], [], [8, 8], [], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [4, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [6], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [6, 8], [8, 8], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [8, 8], [8, 8], [8], [8, 8], [4, 4, 6], [], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [6, 8], [], [4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [6, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [6, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [6], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 6], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [6], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [6], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [6], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [], [4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 6], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 6], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [6]]
[[8], [8], [4], [], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [6], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [4], [], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [6], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4], [], [4, 4], [4, 4], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [6], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [8], [4], [8], [8], [4, 4], []]
[[], [8], [6], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [], [8], [8], [8], [4, 4], [8], [], [4], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [6], [4, 4], [8], [4, 4], [], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [], [4, 4], [8], [6], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4], [8], [], [8], [4, 4], []]
[[8], [], [8], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [8], [8], [4, 4], [8], [], [6], [8]]
-EndAllocation

Instance: [[1], [257], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 8, 8, 8, 8, 8], [6, 7, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [7, 8, 8, 8, 8], [6, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8], [4, 4, 4, 8], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7]]
[[], [], [8], [8, 8, 8, 8], [4, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4]]
[[], [8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 8], [6, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 7, 8], [], [8, 8], [], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [4, 7], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [6], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [6, 8], [8, 8], [7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [8, 8], [8, 8], [7], [8, 8], [4, 4, 6], [], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [7, 8], [6, 8], [], [4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [6, 8], [4, 4, 4], [4, 7], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 7], [6, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [6], [7], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 6], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [4, 7], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [6], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [6], [4, 7], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [6], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [4, 8], [8], [8], [4, 4, 4], [], [4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [8], [8], [], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [6], [4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [4, 7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 6], [8], [8], [4, 4], [8], [7], [8], [], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [], [4, 6], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [7], [4, 4], [6]]
[[8], [8], [4], [], [4, 4], [8], [], [8], [8], [], [8], [8], [7], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [6], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4], [], [8], [7], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [6], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [7], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4], [], [4, 4], [8], [4], [8], [8], [8]]
[[7], [8], [8], [6], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [8], [4], [8], [8], [4, 4], []]
[[], [8], [6], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [8], [8], [8], [7], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [], [8], [7], [8], [4, 4], [8], [], [4], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [6], [4, 4], [8], [4, 4], [], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [], [4, 4], [8], [6], [], [8], [8], [8], [4], [7], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], []]
[[8], [4], [8], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [], [7], [], [8], [8], [8], [8], [], [4, 4], [8], [], [8], [8], [], [8], [8], [4, 4], [8], [], [6], [8]]
-EndAllocation

Instance: [[1], [256], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [170, 114, 85, 69, 57, 49, 42, 38, 34, 32, 29, 26, 25, 24, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [128, 86, 64, 52, 43, 37, 32, 29, 26, 24, 22, 20, 19, 18, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], []]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [], [8, 8, 8], [8, 8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 8], [8], [], [4, 4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [], [], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], [], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [], [], [8], [], [], [8], [8], [], [], [8]]
[[8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], []]
[[8], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [], [], [4, 4]]
[[8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [4, 4], [4, 4], [], [], [8], [], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [255], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [170, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [128, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 7, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [], [8, 8, 8], [7, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], []]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [7], [8, 8, 8], [8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8]]
[[], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8], [], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [7, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [], [4, 4, 8], [7, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 7], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8]]
[[7], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 7]]
[[8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 7], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [7], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 8], [8], [8], [], [8], [8], [8], [8], [8], [8], [7]]
[[], [4, 8], [8], [8], [4, 7], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [], [4, 4, 4], [8], [8], [8]]
[[8], [7], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [8], [4, 4], [8]]
[[8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [], [8], [7], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [7], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], [], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [], [4, 4], [7], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [], [], [8], [], [], [8], [8], [], [], [8]]
[[8], [8], [4, 4], [], [7], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], []]
[[8], [4, 4], [8], [8], [8], [], [], [8], [8], [4, 4], [7], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [], [], [4, 4]]
[[8], [8], [4, 4], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [], [8], [8], [], [8], [4, 4], [4, 4], [], [], [8], [], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [254], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [6, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4], [6, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [], [8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], []]
[[], [4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 6, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8]]
[[], [8, 8], [8, 8], [6], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [6], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [6], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [6, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [6, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [4, 4, 4, 4], [4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [6, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [6, 8], [4, 4, 4, 4], [], [4, 4, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [6, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [6, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [8], [6], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 6], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [6], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [6], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [6], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 8], [8], [], [4, 4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 6], [8], [4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 6], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [8], [4, 4], [8]]
[[], [8], [8], [8], [8], [4, 6], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 6], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [6], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [], [], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [6], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [], [4, 4], [8], [8], [8], [4, 4], [8], [6], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [8], [8], [8], [], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [8], [], [4, 4], [8], [], [4, 4], [8], [6], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [6], [4, 4], [], [], [8], [], [4, 4], [8], [8], [], [], [8]]
[[8], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [], [6], [8], [8], []]
[[8], [4, 4], [8], [8], [8], [], [], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [6], [], [4, 4]]
[[8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [6], [8], [], [], [8], [8], [], [8], [4, 4], [4, 4], [], [], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [253], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,43. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 30, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 23, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 7, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8], []]
[[], [6, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 6, 7], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 6, 8, 8], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [6, 8, 8], [], [7, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [6, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 6], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 6], [8, 8], [8, 8], [7, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 6], [], [7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6], [8, 8], [4, 4, 7], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 6]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [7, 8], [], [8, 8], [8, 8], [], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4]]
[[], [], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [4, 4, 6], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [6, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 7], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [8]]
[[8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [6, 8], [8], [4, 4, 4], [4, 8], [7], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 6], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 7], [8]]
[[8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [6], [4, 4, 4], [8], [7], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [6], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [6], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4, 4], []]
[[8], [4, 8], [4, 4, 4], [8], [], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 7], [8], [4, 4, 4], [8], [8], [8], [8], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [6], [8], [8], [], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [], [7], [8], [8], [8], [4, 4, 4], [8], [8], [4, 6], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [], [8], [4, 4, 4], [8], [], [8]]
[[8], [4, 4], [8], [4, 6], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [7], [4], [8], [4, 4], [8]]
[[], [8], [4], [7], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 6], [8], [8], [8], [8], [8], [8], [4, 4], [8]]
[[], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [6], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [7], [8], [8], [4, 4], [], [8]]
[[8], [4, 4], [8], [8], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [6], [4, 4], [], [8], [4, 4], [8]]
[[], [4], [8], [8], [8], [8], [8], [8], [], [8], [], [4, 4], [8], [4, 4], [7], [4, 4], [4, 6], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [], [4, 4], [8], [8], [8], [], [7], [6], [4, 4], [8], [8], [8], [8], [], [8], [8]]
[[], [8], [8], [], [], [4, 4], [8], [4, 4], [4, 4], [8], [6], [4, 4], [8], [8], [7], [], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [4, 4], [8], [6], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [7], [8], [], [], [8], [], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8]]
[[8], [7], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [6], [], [8], [8], [4, 4], [8], [4, 4], [8]]
[[], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [7], [], [4, 4], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [6], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [], [8]]
[[8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [], [6], [8], [8], [8], [4, 4], [], [4, 4], [], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [], [4, 4], [], [7], [8], [8], [], [4, 4], [4, 4], [8]]
[[8], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [], [], [6], [4, 4], [8], [], [8], [8], [], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [7], [8], [], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8]]
-EndAllocation

Instance: [[1], [264], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [], [], [4, 4, 8], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], []]
[[8], [4, 4, 4], [8], [8], [8], [], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [4, 4], []]
[[8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [], [], [8], []]
[[8], [], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [8], [8], [8], [], [], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [], [], [8], [8], [], [8], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [263], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [7, 8, 8, 8, 8]]
[[], [7, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 7, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8], [8, 8, 8], [4], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [8, 8, 8], [7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 8], [8, 8], [8, 8], [8, 8], [7]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 7], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8], [7, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 8], [], [8, 8], [4, 4, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [8, 8]]
[[], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [7], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [4, 7], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [7], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8]]
[[8], [4, 7], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [7], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [7], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [], [8], [4, 7], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [7], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [], [], [4, 4, 4], [8], [7], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [7], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4]]
[[8], [8], [8], [8], [8], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [7], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [], [8]]
[[8], [7], [8], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [], [8]]
[[], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [], [8], [8], [], [8]]
[[8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [], [8], [], [4, 4], [8], [], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [], [7], [8], [], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [], [], [8], [], [8], [], [7], [4, 4], [8], [8]]
[[], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [], [4, 4], [], [8], [], [8], [], [], [8], [8], [7], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [7], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [], [8], [8], [], [8], []]
-EndAllocation

Instance: [[1], [262], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [174, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [131, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [7, 7, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [7, 7, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4], [7, 7], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8], [8, 8, 8], [7, 7, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 7, 7], [4, 4, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 7, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 8, 8], [7, 7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 8], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [4, 4, 4, 4], [], [8, 8], [7, 7], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 7, 7], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8], [8, 8], [7, 7], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 8], [8, 8], [], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 7]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [7, 7], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [7, 7], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [7, 7], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [7], [4, 7], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [8], [8], [4, 7], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 8], [8], [8], [8], [7], [4, 4, 4], [8], [4, 8], [7], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [7], [7], [4, 8], [4, 4, 4], [8], [8], []]
[[8], [4, 4, 4], [7], [8], [8], [], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [], [8], [7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [8], [4, 4], [8], [7]]
[[8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [7], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [8], [], [4, 4], [8], [4, 4], [8], [7], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [], [8], [8], [4, 4]]
[[8], [8], [], [8], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [], [8], [7], [4, 4], [4, 4], []]
[[7], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [8], [], [4, 4], [7], [8]]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [7], [8], [8], [8], [8], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [], [8], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [7], [], [4, 4], [8], [8], [4, 4], [8], [], [], [8], []]
[[8], [], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [7], [8], [], [8], [8], [8], [8], [8], [], [], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [7], [4, 4]]
[[8], [], [8], [8], [8], [], [7], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [], [], [8], [4, 4], [4, 4], [], [7], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [], [4, 4], [], [8], [7], [8], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [], [], [4, 4], [], [], [8], [8], [4, 4], [8], [8], [7], [8], [8]]
-EndAllocation

Instance: [[1], [261], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [174, 116, 88, 70, 58, 50, 44, 38, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [131, 87, 66, 53, 44, 38, 33, 29, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7]]
[[], [4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6], [4, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [8], [6, 8, 8, 8, 8], [4, 7, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [6], [7, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [6, 8, 8, 8], [8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [7], [4, 8, 8, 8], [8, 8, 8], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [6], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [6, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [7, 8, 8], [8, 8, 8], [6], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [4, 8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [6, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [], [6, 8], [8, 8], [4, 4, 4, 8], [8, 8], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 8], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [4, 4, 4, 4], [], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [4, 4, 7], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [6], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [7], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [6, 8], [], [8, 8], [8, 8], [], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 6], [8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 7], [8], [4, 8], [4, 8], [8], [8], [4, 4, 6], [4, 8]]
[[8], [4, 7], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [6, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [6, 8], [4, 4, 4], [4, 8], [8], [7], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 6], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 7], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [6], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [6], [4, 8], [7], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [8], [4, 4, 4]]
[[7], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 8], [4, 4, 4], [6], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [6], [7], [8], [4, 8], [4, 4, 4], [8], [8], []]
[[8], [4, 4, 4], [7], [8], [8], [], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [6], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [4, 6], [8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7]]
[[8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [6], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4]]
[[], [8], [4], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [4, 6], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [6], [8], [], [4, 4]]
[[8], [8], [], [8], [8], [8], [8], [8], [6], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [4, 4], []]
[[7], [8], [4, 4], [8], [8], [8], [8], [6], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [8], [], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6], [8], [], [4, 4], [7], [8]]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [6], [8], [8], [8], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [7], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [6], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [4, 4], [8], [], [], [8], []]
[[8], [], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [], [6], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [7], [4, 4]]
[[6], [], [8], [8], [8], [], [], [4, 4], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [], [7], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [], [4, 4], [], [8], [7], [8], [6], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [], [], [4, 4], [], [], [8], [8], [4, 4], [8], [8], [], [8], [8]]
-EndAllocation

Instance: [[1], [260], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [173, 116, 86, 69, 58, 50, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [130, 87, 65, 52, 44, 38, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4], [4, 4, 4, 4, 4, 4, 8], []]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [8], [4, 8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4]]
[[], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4], [4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4], [], [8, 8], [8, 8]]
[[], [8], [4, 4, 4, 4], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [], [8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [], [4, 4, 4]]
[[], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [8], [8], []]
[[8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [], [8], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [4], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8]]
[[8], [8], [8], [8], [], [4, 4], [4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [4], [], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8]]
[[], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4], [4, 4], [8], [], [], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [8], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [], [4, 4], [], [4, 4], [8], [], [8], [], [4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [], [], [8], [], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [4], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [], [8], [8], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [4], [], [], [4, 4], [8], [8], [8], [8], [4, 4]]
-EndAllocation

Instance: [[1], [259], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,44. UB Alg: [173, 116, 86, 69, 58, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [130, 87, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 8], [8, 8, 8, 8, 8]]
[[], [4, 7, 8, 8, 8], [8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8]]
[[], [], [7, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8], [7], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 8], [8, 8], [4, 4, 4, 7], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 8], [7, 8], [], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 8, 8], [], [4, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 7], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8], [], [7, 8], [8, 8], [8, 8], [4, 4, 4]]
[[], [8, 8], [], [8, 8], [8], [4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [7, 8], [], [4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8]]
[[], [7, 8], [8, 8], [], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [7]]
[[8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 7], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [7], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [7], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [8], [8], [4, 8]]
[[7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [], [8], [4, 4, 4]]
[[8], [8], [], [4, 8], [], [8], [4, 4, 4], [7], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [8], [], [4, 8], [8], [8], [4, 8]]
[[8], [8], [8], [], [4, 4, 4], [8], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4], [8], [8], [8], [4, 4], [8]]
[[8], [4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [8]]
[[8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [4], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [8], [7], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [], [8], [8]]
[[8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [4], [8], [8], [8], [4, 4], [], [7], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [], [4], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [7], [8], [8], [4, 4], [4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [4, 4], [4], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [], [], [], [4, 4], [8], [4], [], [4, 4], [8], [8], [8], [4, 4], [], [7], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [4, 4]]
[[], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [], [4, 4], [8], [8], [8], [], [8], [8], [], [7], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [8], [], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [], [], [8], [8], [7], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], []]
[[], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4], [8], [], [4, 4], [7], [8], [], [8], [], [8], [4, 4], [8], [8], []]
[[8], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [4, 4], [], [], [7], [8], [8], [4, 4], [], [8], [4], [4, 4], [4, 4], [], [], [8], [], [8], [4, 4], [], []]
-EndAllocation

Instance: [[1], [270], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8], [7, 7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [7, 7, 8, 8], [8, 8, 8, 8]]
[[], [4, 8, 8, 8], [4, 8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7], [8, 8, 8]]
[[], [8, 8], [8, 8, 8], [7, 7, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4], [8, 8, 8], [], [4, 4, 7, 7], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8], [4, 7, 7], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7]]
[[], [8, 8], [8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 7, 7], [8, 8]]
[[], [], [4, 4, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8], [], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8], [4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7], [], [8], [8, 8], [], [4, 4], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [], [7, 7], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [7, 7], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [7, 7], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 8], [7], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 7], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 8]]
[[8], [4, 7], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [7], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [7], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [7], [8], [8], [4], [4, 4, 4], []]
[[8], [8], [8], [7], [], [], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [4, 4]]
[[], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [7], [4, 4], [4, 4], [8]]
[[8], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [7], [], [7], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [7], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [7], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [7], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [], [8], [7], [4, 4], [], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [7]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [7], [8], [7], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [7], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [7], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [], [8], [], [7], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [7], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [], [], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [7], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [7], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [269], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [5, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8]]
[[], [4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 5], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [5], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [5, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [5, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [5, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [5, 8, 8], [8, 8, 8], [], [8, 8, 8], [], [4, 4, 4, 4, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 5], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 8], [5, 8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [5, 8]]
[[], [8, 8], [8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 5], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [4, 4, 5], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [5, 8], [8], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 5], [], [], [4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8], [4, 4, 4, 4], [4, 4, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [5, 8], [], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [5, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [5, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [5, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [5, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [], [8], [4, 4, 4], [8], [5, 8]]
[[8], [5], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[], [8], [4, 4, 4], [5], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [5], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4], [4, 4, 4], []]
[[8], [8], [8], [8], [], [], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [5], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [8], [8], [4, 5], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 5], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [5], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 5], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4]]
[[8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [], [5], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [8], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [5], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [5], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [4, 5], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 5], [8], [4, 4]]
[[8], [], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [5], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [], [], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [5], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [8], [8], [8], [5], [4, 4], [8], [], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [268], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [178, 120, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [134, 90, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8]]
[[], [4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8], [8, 8, 8], [8, 8, 8], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [], [4, 4, 4, 4, 4], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[8], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [8, 8], [], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [], [4, 8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4, 4], []]
[[8], [8], [8], [8], [], [], [4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [4, 4], [8]]
[[8], [8], [8], [8], [4, 4], [4], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4]]
[[8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [4], [4, 4], [8]]
[[8], [4, 4], [8], [4], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [4], [], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [8], [8], [4], [8], [4, 4], [8], [], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [267], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [178, 118, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [134, 89, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8], [4, 5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [5, 8, 8], [7, 7, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 5, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 5], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [5], [7, 7, 8], [8, 8, 8, 8]]
[[], [4, 8, 8, 8], [4, 8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8], [5, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7], [8, 8, 8]]
[[], [5, 8], [8, 8, 8], [7, 7, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [5, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [5, 8, 8], [8, 8, 8], [4, 4], [8, 8, 8], [], [4, 4, 7, 7], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 8], [4, 4, 4, 4, 5], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 5, 8], [4, 4, 4, 4, 4], [8], [4, 7, 7], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [8, 8], [5, 7, 7]]
[[], [8, 8], [4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 5], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [4, 7, 7], [8, 8]]
[[], [], [4, 4, 5], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [5], [], [8, 8], [8, 8], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 5], [], [], [4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7], [], [8, 8], [8, 8], [], [4, 4], [8, 8], [], [8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [5, 8], [], [8, 8], [8, 8], [], [], [7, 7], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4]]
[[8], [8], [8], [4, 8], [5, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [7, 7], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [5, 8], [4, 8], [8], [7, 7], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [7], [8], [4, 4, 4], [5, 8], [4, 4, 4], [4, 4, 4], [4, 7], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8]]
[[8], [4, 7], [8], [4, 4, 4], [5, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [4, 7], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [7], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [], [4, 8], [4, 4, 4], [8], [5]]
[[8], [5], [8], [8], [8], [8], [4, 4, 4], [4, 7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8]]
[[], [8], [4, 4, 4], [5], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 7], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8]]
[[8], [8], [4, 4, 4], [8], [5], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [7], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [7], [8], [8], [4], [4, 4, 4], []]
[[8], [8], [8], [7], [], [], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [5], [8], [8], [8], [8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4], [8], [4, 4], [8], [8], [8], [4, 5], [4, 4], [7], [4, 4]]
[[], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [7], [4, 5], [4, 4], [8]]
[[8], [7], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [5], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [7], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [7], [], [7], [4, 5], [8], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [7], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [4, 4], [8], [], [5], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4], [8], [8], [8], [4, 5], [7], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [7], [8], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [], [8], [7], [4, 4], [], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [5], [8], [4, 4], [8], [4, 4], [8], [4, 4], [7]]
[[8], [4, 5], [8], [4, 4], [8], [4, 4], [7], [8], [7], [4, 4], [4, 4], [4, 4], [4], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8]]
[[], [8], [7], [8], [], [4, 4], [4, 4], [8], [4, 4], [], [8], [7], [8], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [], [], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 5], [8], [4, 4]]
[[], [], [8], [], [7], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [7], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [5], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [], [], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [8], [5], [4, 4], [], [4, 4], [4, 4], [8], [], [], [7], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [5], [4, 4], [], [], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [4, 4], [7], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [266], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [177, 118, 89, 72, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [133, 89, 67, 54, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 7, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [], [4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4], [8, 8, 8], [8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [7, 7], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 7, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 8], [8, 8], [7, 7, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [7, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [7, 7], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 7, 7], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4], [], [8, 8]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 7, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [7, 7], [], [], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [7, 7], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [], [], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [7, 7], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [7, 7], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [7], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [7], [8], [8], [4, 4, 4]]
[[7], [8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [7], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 7], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [7], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 7], [4, 8], [8], [4, 4]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [7], [4, 8], [7], [8], [8], [8], [4], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 7], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [7], [8], [8], [8], [4, 4, 4], [8], [], [4, 8], [8]]
[[8], [], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [7], [4, 4, 4], [4], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [8], [8], [7], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [8], [7], [8], [8], [4, 4], [7], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [7], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [7], [4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [7], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [7], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4], [], [8]]
[[8], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [7], [8], [8], [8], [], [7], [], [4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [7], [8], [], [], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
[[8], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [4, 4], [], [8], [7], [], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [7]]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4], [4, 4], [4], [], [], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [8], [8], [8], [7], [8], [8], [4, 4]]
[[8], [], [8], [4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [], [], [4, 4], [8], [], [8], [7], [4, 4], [8], [8], [], [7], [4, 4], [8], [4, 4], [], [8], [8], [8]]
[[8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [7], [8], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [4], [8], [8], [], [7], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [8], [8]]
[[8], [4, 4], [4, 4], [], [8], [7], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [8], [4, 4], [], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [7], [8], [], [8], [], [4, 4], [], [8], [], [8], [4, 4], [8], [], [], [8], [8], [8]]
[[8], [], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [], [7], [], [7], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4]]
-EndAllocation

Instance: [[1], [265], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,45. UB Alg: [177, 118, 89, 70, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [133, 89, 67, 53, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8], [], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [5, 8, 8, 8], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [5, 8, 8, 8], [4, 8, 8, 8], [4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8], [5, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [5, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [4, 4, 8], [8, 8], [5, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 5], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [5, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 5], [8, 8], [8, 8], [8, 8], [8], [], [8, 8]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [5, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 5], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [], [8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [4], [8, 8], [8, 8], [4, 4, 5]]
[[], [4, 4, 4, 4], [], [], [8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [], [5], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[8], [4, 8], [5, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [5, 8], [8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 5], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [8], [4, 8], [8], [4, 5], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [], [8], [4, 4], [5, 8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [5], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [5], [4, 8], [8], [8], [8], [8], [4], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 5], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [], [4, 8], [8]]
[[8], [], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 5], [4, 4, 4], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 5], [8], []]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 5], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [5], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 5], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8]]
[[8], [8], [], [], [8], [4, 5], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [], [8], [4, 5], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [], [], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [], [4, 4], [8]]
[[8], [8], [8], [5], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [4, 4], [], [8], [8], [], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], []]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [5], [], [], [4, 4], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [8], [8], [8], [8], [8], [8], [4]]
[[8], [], [8], [], [8], [5], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [], [], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [4], [], [8], [8], [8]]
[[8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [4], [8], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [5], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [], [4, 4], [], [4, 4], [], [4, 4], [4, 4], [4, 4], [], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4], [4, 4], [8], [4, 4], [], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [5], [], [8], [], [4, 4], [], [8], [], [8], [4, 4], [8], [], [], [8], [8], [8]]
[[8], [], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [], [5], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4]]
-EndAllocation

Instance: [[1], [276], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [184, 122, 92, 74, 61, 53, 46, 41, 37, 34, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [138, 92, 69, 56, 46, 40, 35, 31, 28, 26, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], []]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], []]
[[], [8, 8], [], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [], [8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [], [8, 8], [], [8]]
[[8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4]]
[[], [4, 4, 4], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8]]
[[], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 8], [], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], []]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4], [4, 4], [8], [8], [], [8]]
[[8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4], []]
[[8], [8], [8], [8], [4, 4], [8], [8], [4], [8], [], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [4], [4, 4], [], [8], [8], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], []]
[[8], [4, 4], [8], [4], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [8], [], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [], [], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [], [8], [8], [4, 4], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [8]]
[[], [4], [8], [8], [], [4, 4], [8], [], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [8], [8]]
[[], [], [], [4, 4], [8], [8], [8], [8], [], [], [8], [], [4, 4], [8], [], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[8], [], [], [8], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [], [], [], [4, 4], [8], [8], [4], [], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [275], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [184, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [138, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 7, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [4, 4, 4, 4, 4], [7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [7, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [8, 8]]
[[], [], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 8]]
[[], [8, 8], [7, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [7], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [4, 4, 7], [4, 4, 4, 4], [4, 4, 4, 4], [4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [7], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], []]
[[8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 7]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [7], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [8], [8], [8], [7], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [7], [8]]
[[8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [7], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [], [4, 4, 4]]
[[], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 7], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8]]
[[8], [], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [], [4, 7], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [8], [], [8], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [], [8], [], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8]]
[[8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [4], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [8]]
[[7], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [4], [8], [7], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [7], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [4, 4], [4], []]
[[8], [], [8], [], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [4], [7], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8]]
[[], [8], [], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [8], [4], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [7], [4, 4], [8]]
[[8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [], [7], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [], [8], [8], [4], [], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [8], [], [8], [8], [], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], []]
[[], [4], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [], [8], [7], [], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4]]
[[8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [7], [8], [4, 4], [4, 4], [], [], [4, 4], [8], [], [], [], [8], [8], [8], [], [8], [8], [], [8], [8], [4, 4], [4, 4], [4], [4, 4], [8], [], [8]]
-EndAllocation

Instance: [[1], [274], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [182, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [137, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[8], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 7, 7, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 7, 7], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [7, 7, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [8, 8]]
[[], [], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 7, 8]]
[[], [8, 8], [7, 7], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [7, 7], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [4, 7, 7], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [7, 7], [4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [7, 7], [4, 4, 4, 4], [8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], []]
[[8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [7, 7], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [7, 7]]
[[8], [8], [4, 4, 4], [8], [4, 8], [7, 7], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [7], [8], [8], [7], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 7], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [7], [8]]
[[8], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [7], [7], [4, 4, 4], [8]]
[[8], [4, 4, 4], [4, 7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [], [4, 4, 4]]
[[], [7], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 7], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8]]
[[8], [], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [], [4, 7], [4, 4, 4], [8], [4], [8], [8], [4, 4, 4], [8], [4, 7], [8], [8], [4, 4, 4], [8], [4, 8], [8], [], [], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [4, 4, 4], [4, 8], [], [8], [], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8]]
[[8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [4], [8], [8], [7], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [7], [8], [8], [8], [4, 4], [8], [4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [7], [8], [8], [4, 4], [8], [4, 4], [4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [8]]
[[7], [8], [8], [4, 4], [8], [], [8], [], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4], [7], [8], [4, 4], [8], [4, 4], [8], [4, 4]]
[[8], [8], [4], [4, 4], [4, 4], [4, 4], [8], [7], [], [], [7], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4]]
[[8], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [7], [8], [], [4, 4], [8], [7], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [4, 4], [4], []]
[[7], [], [8], [], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [4], [7], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8]]
[[], [8], [], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [4], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [8], [8], [8], [7], [4, 4], [8]]
[[8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [], [7], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [7], [8], [4], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [], [8], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [8], [], [8], [8], [], [8], [8], [7], [], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [4]]
[[], [4, 4], [4, 4], [8], [8], [8], [8], [], [4, 4], [4], [8], [8], [8], [4, 4], [8], [7], [8], [], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [8], [], [], [4, 4], [8], [4, 4], [], [8], [7], [], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4]]
[[8], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [7], [8], [4, 4], [4, 4], [], [], [7], [8], [], [], [4], [8], [8], [8], [], [8], [8], [], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8]]
-EndAllocation

Instance: [[1], [273], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [182, 121, 92, 73, 61, 52, 46, 41, 37, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [137, 91, 69, 55, 46, 39, 35, 31, 28, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 7]]
[[], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8]]
[[], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [6, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], []]
[[], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [6, 8, 8], [8, 8, 8], [7, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [7], [8, 8, 8], [6, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8]]
[[], [8, 8], [4, 8, 8], [8, 8], [8, 8], [], [4, 4, 4, 7], [6, 8, 8], [8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 6]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 8], [6, 8], [4, 4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 6], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6], [4, 8], [4, 4, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [], [4, 4, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 6, 7], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [6], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [7], [], [6, 8], [], [8, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [6, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 7], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [6, 8], [4, 7], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8]]
[[8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [7], [4, 4, 4], [8], [4, 8], [6, 8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [4, 7], [8], [8], [4, 8], [4, 6], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [7], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [6], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [7], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [6], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [4, 7], [8], [8], [8], [8], [8], [8], [4, 4, 4], [6], [8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [6], [4, 4, 4], [4, 8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8], [4, 8], [4, 4, 4], [8], [8], [7], [8], [8]]
[[8], [], [8], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8], [4, 6], [8], [8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[8], [8], [], [], [8], [4, 7], [], [4, 4, 4], [8], [8], [8], [6], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [4, 8]]
[[8], [8], [8], [4, 4], [8], [8], [7], [4, 6], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8]]
[[], [7], [8], [4, 4], [8], [4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [6], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [4, 6], [7], [], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4]]
[[8], [8], [], [4, 4], [], [4, 4], [8], [8], [7], [8], [8], [4, 4], [8], [], [8], [8], [4], [4, 4], [8], [8], [8], [6], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4]]
[[8], [], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4], [8], [4, 4], [8], [4, 4], [], [6], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [7], [8], [4, 4], [8]]
[[8], [4, 4], [], [8], [8], [8], [4], [7], [4, 4], [], [8], [4, 4], [8], [8], [], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [6], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[], [4], [4, 4], [4, 4], [8], [8], [8], [8], [7], [4, 4], [4, 4], [8], [8], [], [8], [], [4, 4], [8], [4, 4], [4, 4], [6], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [8], [8], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [4, 4], [], [4, 4], [8], [], [8], [4], [7], [8], [4, 4], [8], [8], [8], [], [8], [6], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [], [], [8], [8], [], [8], [4, 4], [4], [8], [4, 4], [4, 4], [8], [7], [8], [8], [8], [8], [], [6], [8], [], [8], [4, 4], [4, 4]]
[[8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [], [8], [8], [], [8], [8], [6], [4, 4], [8], [], [8], [4, 4], [], [], [4, 4], [4, 4], [], [8], [7], [8], [8], [], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [], [], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [4], [8], [8], [], [8], [], [6], [8], [], [7], [4, 4], [8], [4, 4], [8], [8], [8], []]
[[], [4, 4], [8], [8], [4, 4], [8], [], [8], [], [], [], [4, 4], [8], [8], [8], [4], [4, 4], [8], [], [8], [8], [], [], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [7], [8], [6], [], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [272], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4]]
[[], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8]]
[[8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [], [4, 4], [4, 4], [8], [8], [], [], [8], [8], [4, 4], [4, 4], [], [8], [8], [8]]
[[], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [], [], [4, 4], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], []]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [8], [], [4, 4], [8], [], [], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [], [], [4, 4], [], [8], [], [4, 4], [8], [8], [4, 4], [8], [], [8]]
[[8], [8], [8], [8], [], [], [], [8], [8], [4, 4], [8], [], [8], [8], [8], [], [], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [271], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,46. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8]]
[[], [4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [], [4, 4, 4, 4, 7, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [], [8, 8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4]]
[[], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [], [], [8, 8], [4, 4, 4, 4], [4, 4, 8], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [8, 8], [7, 8], [8, 8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8]]
[[8], [4, 7], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [8], [8], [7], [8], [4, 8], [8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 4], [8], [4, 7], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [7], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [7], [8], [8], [4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [4, 7], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [], [4, 8], [4, 4, 4], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [8], [8]]
[[4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8]]
[[7], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4]]
[[8], [7], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [7], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [7], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [], [7], [4, 4], [8], [8], [], [], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4]]
[[], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [7], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [8], [], [], [7], [4, 4], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [], [4, 4], [4, 4], [7], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], []]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [], [8], [8], [8], [8], [8], [], [], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [7], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [], [], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [], [], [4, 4], [], [8], [], [7], [8], [8], [4, 4], [8], [], [8]]
[[8], [8], [8], [8], [], [], [], [8], [8], [4, 4], [8], [], [8], [7], [8], [], [], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [8], [8], [4, 4], [8], [4, 4], [], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [282], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 7, 7, 8, 8, 8]]
[[], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8]]
[[], [3, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7], [4, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8, 8], [4, 6, 6, 6, 6, 6, 6, 6, 8], [3, 3, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8, 8, 8], [8, 8]]
[[], [6, 6, 6, 6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [5, 5, 5, 5, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 8], [4, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]
[[], [5, 5, 5, 5, 6, 6, 6], [8, 8, 8], [4, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 7, 7, 7, 7], [8, 8, 8, 8], [6, 8, 8, 8, 8], [6, 8, 8, 8, 8], [6]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [4, 6, 6, 6, 6, 6], [8, 8, 8, 8], [], [8, 8, 8, 8], [3, 7, 7, 7, 7], [6, 6, 8, 8], [5, 5, 5, 5, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6], [4, 8, 8, 8], [3, 3, 5, 5, 5, 5], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[], [3, 3, 3], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 8], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [3, 3, 3, 8, 8], [8], [8, 8, 8], [6, 6, 6], [7, 7, 7, 7], [4, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [], [6, 6, 6, 6], [5, 5, 5, 5, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6], [4, 6, 6, 6], [], [3, 7, 7, 7], [3, 3, 3, 3, 3, 3, 7], [8, 8, 8], [], [3, 3, 3, 3, 3, 8], [8, 8, 8]]
[[], [4, 8, 8], [7, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [7, 7, 7], [3, 3, 3, 3, 8], [], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [6, 6, 6, 6], [5, 5, 5, 5], [6, 6, 6]]
[[], [7, 7, 7], [8, 8], [3, 3, 8, 8], [8, 8], [8], [6, 6, 6], [3, 3, 3, 6, 7], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [8, 8], [4, 6, 6, 6], [3, 3, 3, 3, 3, 3, 3], [8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3], [8, 8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [6, 6, 8], [8, 8], [7, 7, 7], [8, 8], [4, 6, 6], [5, 5, 5, 5], [8], [7, 8], [8, 8]]
[[], [8, 8], [8, 8], [6, 6, 6], [6, 6, 6], [7, 7], [5, 5, 5, 5], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3, 3], [6, 8], [8, 8], [8, 8], [7, 7], [4, 8, 8], [8, 8], []]
[[], [6, 7, 7], [8], [8, 8], [7, 7], [], [8, 8], [8, 8], [5], [8, 8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [6, 6, 6], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [4, 5, 5, 5]]
[[], [3, 3, 3, 3, 3, 3], [], [8, 8], [3, 3, 8], [7, 7], [8, 8], [8, 8], [8, 8], [6, 6, 6], [6, 6, 6], [3, 3, 3, 3, 4], [8, 8], [7, 7], [8, 8], [], [8, 8], [8, 8], [5, 5, 5], [5, 8], [6, 8]]
[[], [6, 6], [8, 8], [7, 7], [3, 7, 7], [8, 8], [6, 6], [8, 8], [], [6, 6], [8, 8], [8], [8, 8], [3, 3, 3, 3, 3], [6], [3, 3, 3, 3, 3], [8, 8], [4, 5, 8], [5, 5, 5], [8, 8], [3, 8], [8, 8]]
[[], [3, 3], [7, 7], [5, 8], [], [7, 7], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [5, 5, 5], [8, 8], [6, 6], [6], [8, 8], [8, 8], [8, 8], [8, 8], [], [6, 6], [4, 6, 6], [8, 8]]
[[], [6], [6, 6], [7, 7], [6, 6], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 8], [8, 8], [], [3, 3, 3, 3, 3], [5, 8], [5, 5, 5], [], [8, 8], [7, 7], [6, 6], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], []]
[[], [], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [3, 6, 6], [8, 8], [4, 7], [8, 8], [6, 6], [5, 6], [7], [8, 8], [6, 6], [7, 7], [3, 3, 3, 3, 3], [3, 8], [], [5, 5, 5]]
[[8], [8], [8], [6, 8], [4, 8], [6, 8], [8], [7, 7], [3, 3, 3, 3], [8], [8], [8], [3, 3, 8], [6, 6], [6, 6], [8], [6, 8], [3, 5, 5], [3, 3, 8], [7, 7], [3, 3, 8], [3, 8], [5, 5], [8], [8], [8]]
[[8], [5, 5], [8], [8], [8], [3, 3, 8], [8], [6, 8], [6, 8], [8], [6, 6], [8], [8], [4, 8], [6, 8], [8], [5, 5], [7, 7], [8], [3, 3, 3, 3], [8], [3, 3, 3, 3], [8], [3, 3, 8], [7, 7], [6, 6], [8]]
[[8], [8], [3, 3, 3, 3], [6, 8], [6, 6], [8], [3, 3, 3, 3], [8], [8], [7, 7], [8], [8], [7, 7], [6, 8], [8], [6, 8], [3, 3, 3, 3], [8], [8], [5, 5], [8], [8], [8], [6, 6], [5, 5], [8], [8], [4, 8]]
[[8], [4, 8], [3, 3, 7], [8], [8], [8], [3, 3, 3, 3], [8], [8], [8], [8], [5, 5], [6, 6], [8], [3, 3, 3, 3], [3, 5, 5], [8], [8], [6, 7], [8], [6, 7], [8], [8], [8], [6, 6], [3, 8], [8], [6, 7], [8]]
[[8], [8], [8], [5, 8], [7], [8], [3, 3, 3, 3], [8], [8], [6, 6], [8], [5, 8], [8], [4, 5], [8], [6, 6], [8], [3, 3, 3, 3], [8], [8], [6, 7], [8], [8], [8], [7], [6, 7], [5, 6], [8], [3, 3, 3, 3], [8]]
[[8], [8], [6, 6], [7], [8], [8], [8], [8], [8], [7], [3, 3, 3, 3], [6, 7], [8], [3, 3, 6], [8], [8], [8], [4, 8], [3, 3, 3, 3], [5, 5], [8], [8], [8], [8], [8], [5, 5], [8], [6, 7], [3, 3], [8], [6, 6]]
[[8], [7], [8], [8], [5, 5], [4, 7], [3, 3, 3, 3], [5, 5], [8], [6, 6], [8], [8], [8], [8], [8], [6, 6], [7], [8], [6, 6], [7], [8], [8], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [8], [8], [8], [6], [8], [8]]
[[8], [8], [7], [5, 5], [8], [8], [6], [8], [8], [8], [8], [3, 7], [8], [3, 3], [6, 6], [7], [8], [8], [3, 3, 3, 3], [8], [8], [6, 6], [7], [8], [3, 3, 3, 3], [4, 6], [3, 8], [8], [6], [8], [5, 5], [8], [8]]
[[8], [8], [], [3, 3, 3, 3], [8], [8], [4, 8], [5, 5], [8], [5, 5], [6], [7], [6, 6], [6, 6], [8], [3, 3, 3, 3], [8], [], [8], [8], [7], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [6, 6], [7], [8], [7]]
[[8], [8], [8], [6], [4, 8], [8], [8], [3, 3, 3, 3], [8], [5, 5], [5, 5], [7], [7], [8], [8], [3, 3, 3, 3], [6, 6], [6], [], [8], [8], [7], [3, 3, 3, 3], [6], [7], [8], [8], [6, 6], [8], [8], [8], [8], [], [8], [8]]
[[8], [8], [7], [8], [8], [3, 3], [6], [8], [8], [5, 5], [3, 3, 3], [8], [6], [8], [8], [7], [3, 3, 3], [7], [5, 5], [6], [3, 7], [8], [4, 6], [6], [8], [8], [8], [8], [8], [6], [8], [6], [3, 3, 3], [8], [8], [8]]
[[8], [6], [8], [8], [3, 3, 3], [8], [8], [6], [6], [8], [6], [6], [8], [3, 3, 3], [6], [3, 3, 3], [8], [5, 5], [8], [4], [8], [3, 3, 3], [8], [8], [8], [8], [7], [8], [7], [8], [8], [8], [5, 5], [8], [7], [6], [7]]
[[8], [8], [7], [8], [8], [3, 3, 3], [8], [7], [3, 3, 3], [5, 5], [8], [8], [8], [8], [8], [8], [8], [7], [6], [], [6], [6], [3, 3, 3], [3, 3, 3], [8], [8], [6], [5, 5], [8], [7], [6], [8], [8], [6], [8], [6], [4], [8]]
[[], [3, 7], [8], [8], [], [8], [8], [8], [6], [8], [], [8], [6], [6], [8], [8], [8], [4, 6], [8], [8], [8], [8], [8], [7], [6], [3, 3], [5, 5], [6], [3, 3, 3], [7], [8], [6], [8], [8], [7], [8], [5, 5], [3, 3, 3], [3, 3, 3]]
[[8], [8], [3, 3, 3], [3, 3, 3], [8], [], [6], [8], [8], [8], [8], [8], [8], [7], [6], [7], [6], [3, 3, 3], [3, 3, 3], [6], [8], [8], [7], [8], [7], [], [6], [6], [8], [8], [5, 5], [8], [8], [8], [6], [8], [], [4], [8], [5, 5]]
[[8], [8], [6], [6], [8], [8], [8], [7], [8], [5], [8], [8], [], [3, 3], [8], [3, 3, 3], [6], [4], [8], [7], [8], [5], [6], [8], [8], [6], [5], [7], [8], [8], [8], [6], [8], [3, 3, 3], [], [3, 3, 3], [3, 6], [5], [8], [7], [8]]
[[8], [8], [8], [8], [5], [8], [5], [8], [], [3, 3, 3], [8], [5], [], [7], [6], [8], [7], [8], [8], [8], [6], [8], [8], [3, 3, 3], [3, 3, 3], [6], [6], [], [8], [6], [7], [8], [8], [3, 3, 3], [8], [5], [8], [7], [6], [8], [4], [6]]
[[7], [], [3, 6], [6], [5], [8], [6], [8], [], [6], [6], [8], [3, 3, 3], [8], [8], [4], [8], [8], [8], [8], [7], [8], [8], [5], [7], [], [8], [8], [8], [8], [7], [8], [8], [8], [5], [6], [6], [3, 3, 3], [3, 3], [5], [3, 3, 3], [8], []]
[[8], [], [8], [3, 3, 3], [5], [8], [], [8], [7], [8], [6], [8], [3, 3, 3], [], [8], [7], [3, 6], [6], [8], [8], [], [8], [8], [4], [8], [], [7], [8], [3, 3, 3], [3, 6], [3], [5], [6], [8], [5], [8], [5], [6], [7], [8], [6], [8], [8], [8]]
[[8], [3, 3, 3], [5], [8], [7], [8], [3, 3, 3], [8], [5], [8], [8], [8], [6], [7], [], [3, 3, 3], [], [8], [], [], [5], [8], [8], [], [6], [5], [7], [], [8], [3, 3, 3], [8], [8], [8], [8], [6], [6], [8], [6], [6], [4], [7], [8], [8], [8], [6]]
[[], [8], [6], [], [6], [8], [8], [], [7], [6], [4], [8], [3, 3, 3], [8], [8], [7], [8], [8], [5], [5], [7], [], [8], [3, 3, 3], [], [6], [6], [3, 3, 3], [8], [8], [8], [], [8], [3, 3, 3], [8], [8], [8], [], [5], [7], [6], [8], [8], [6], [5], [8]]
[[7], [8], [8], [7], [6], [3, 3], [7], [8], [3, 3], [8], [8], [8], [8], [8], [6], [], [8], [8], [7], [6], [3, 3], [6], [3, 3], [], [5], [8], [], [8], [4], [5], [5], [6], [8], [6], [], [8], [3, 3], [8], [8], [6], [5], [], [], [8], [8], [8], [3, 3]]
-EndAllocation

Instance: [[1], [281], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7]]
[[8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 6, 7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6, 8, 8]]
[[], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 6, 8, 8, 8, 8], [], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [6, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7, 8, 8, 8], [6], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [], [], [8, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8]]
[[], [], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [4, 7, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [], [6, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [6, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 7], [8, 8, 8], [8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [6], [8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8]]
[[], [8, 8], [], [4, 4, 4, 6], [4, 8, 8], [4, 4, 4, 7], [4, 8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [6, 7], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [], [4, 8, 8], [], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4]]
[[], [7], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [6, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [], [6, 7], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 6], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 7], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], []]
[[], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [6], [8, 8], [], [8, 8], [], [7], [4, 4, 4, 4], [8, 8], [8, 8], []]
[[8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [6, 8], [4, 7], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [6, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 7], [4, 8], [8]]
[[8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [7], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [6, 8], [4, 8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [7], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [6], [8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [6], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [7], [4, 4, 4], [8], [8], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [7], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [6]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4], [4, 8], [8], [8], [8], [8], [8], [6], [7], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 6], [8], [8], [8], [4, 8]]
[[8], [4, 4, 4], [], [8], [8], [8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [8], [8], [6], [4, 4, 4], [8], [7]]
[[8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [], [8], [7], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 6], [8], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [8], [], [4, 4, 4], [8]]
[[8], [4, 4], [7], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [6], [4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [6], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [7], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [7], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 6], [8], [8], [4, 4], [4, 4]]
[[], [7], [8], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], [4, 6], [8], [8], [8], [8], [8], [], [8]]
[[8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [4], [8], [4, 4], [8], [8], [8], [8], [6], [4, 4], [], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [4, 4], [7], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [6], [8], [8], [4, 4], [8]]
[[8], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [6], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [], [4, 4], [4, 4], []]
[[8], [], [], [], [], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [6], [8], [8], []]
[[8], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [4], [7], [], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [6], [4, 4], [8], [8], [8], [], [8]]
[[8], [], [8], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [], [4], [], [4, 4], [8], [4, 4], [], [4, 4], [7], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [6], [4, 4], [8], [8], [8], [8], [4, 4]]
[[], [8], [], [4, 4], [], [8], [8], [], [], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [6], [7], [8], [4], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8]]
[[], [4], [], [7], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [], [], [8], [4, 4], [8], [8], [4, 4], [8], [6], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [280], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [186, 125, 93, 74, 62, 53, 46, 42, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [140, 94, 70, 56, 47, 40, 35, 32, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], []]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], []]
[[8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8]]
[[], [8, 8], [8, 8], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [], [8], [8], [4, 8], [8], [8], [], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8]]
[[8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [], [], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [], [], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [], [], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[], [8], [8], [], [8], [], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [8], [], [4, 4]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [8], [], [], [8], [4, 4], [], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [279], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [186, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [140, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8, 8], [4, 8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], []]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7], [8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], []]
[[8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [7], [8, 8]]
[[], [8, 8], [8, 8], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [7, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [4, 4, 7], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [7, 8], [], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 7], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 7], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [7], [8], [8], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [7], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [8], [8], [7], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [7], [], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [], [8], [8], [4, 8], [8], [7], [], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8]]
[[8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [7], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8]]
[[8], [7], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [7], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [7], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [8], [8], [8], [7], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [7], [], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [], [7], [8], [], [8], [8], [], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [], [], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [7], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [4, 4], [7], [], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [], [7], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[], [8], [8], [], [8], [], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [7], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [], [8], [4, 4], [4, 4]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [8], [], [], [8], [4, 4], [], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [], [], [8], [8], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [278], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6], [8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [8, 8, 8], [4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], []]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], []]
[[], [8, 8], [6, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [6], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8], [6, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [6, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8]]
[[], [8, 8], [8, 8], [], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 6], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [6], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 6], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [6, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [6, 8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [6, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [6], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 6], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [8], [8], [6], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 6], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [6], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [4, 4, 4]]
[[], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [6], [8], [8], [4, 8], [8], [8], [], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8]]
[[], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [6], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4], [4, 6], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [6], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [4], [8], [4, 4], [4, 6], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [6], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [6], [8], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [6], [4, 4], [4, 4], [8], [], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [], [], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [6], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [], [6], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [], [], [8], [8], [6], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [], [], [4, 4], [6], [4, 4], [], [8], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [], [8], [6], [8], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[], [6], [8], [], [8], [], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [8], [], [4, 4]]
[[], [8], [], [4, 4], [4, 4], [6], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [8], [], [], [8], [4, 4], [], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [277], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,47. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [5], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [5, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [8], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 8, 8, 8], [5, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [5]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [], [5, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [5, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], []]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 5], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [5, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4], [4, 8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 5], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [5], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8]]
[[], [8, 8], [8, 8], [], [5], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [5, 8], [], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [5, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [5], [4, 4, 4, 4], [8, 8]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 5], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [8], [5, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [5, 8], [4, 4, 4], [8]]
[[8], [4, 8], [8], [8], [8], [8], [5, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [5, 8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [5], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [5], [8], [], [8], [8], [4, 4, 4]]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [5], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [], [8], [8], [4, 8], [8], [8], [], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8]]
[[8], [], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [5], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [], [4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [5], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [5], [8], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 5], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 5], [8], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [], [8], [8], [5], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [4, 4], [4, 5], [8], [], [4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8]]
[[8], [4, 4], [], [], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [5], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], []]
[[8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [5], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [], [], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [5], [8], [8], [4, 4], [], [], [8], [8], [], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [4, 4], [], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[5], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [4, 4], [], [], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [], [], [], [4, 4], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [5], [], [8], [4, 4], [8], [], [8], [8], [], [8], [4, 4]]
[[], [5], [8], [], [8], [], [8], [4, 4], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [8], [], [4, 4]]
[[], [8], [], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [8], [], [8], [], [], [8], [5], [], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8]]
-EndAllocation

Instance: [[1], [288], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [192, 128, 96, 77, 64, 56, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8], Opt: [144, 96, 72, 58, 48, 42, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8]]
[[], [], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [4], [4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], []]
[[8], [8, 8], [4, 4, 4, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [4, 4, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [], [4, 8], [4, 4, 4], [8], [8], [4, 8]]
[[8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [], [8], [8], [8], [8], [4], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [8]]
[[8], [8], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4]]
[[], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [], [8], [8], []]
[[8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [], [8], [], [8], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [8]]
[[], [8], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], []]
[[], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [4, 4], [8], [], [], [4, 4], [], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4]]
[[], [8], [8], [8], [8], [], [8], [], [], [8], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [], [4, 4], []]
[[], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [8], [8], [8], [], [], [8], [], [8], [8], [8], [], [8], [], [], [8], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [287], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [192, 128, 96, 77, 64, 54, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [144, 96, 72, 58, 48, 41, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 7, 8, 8, 8], [8, 8, 8, 8]]
[[], [], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [7], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 7, 8, 8], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 7]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [4, 8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [4, 8, 8], [4, 4, 4, 7], [8, 8], [4, 8, 8], [8, 8], [4, 8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [7], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [4, 8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [], [7, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8], [7, 8]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 7], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [7], [4, 4, 4], [8]]
[[8], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8]]
[[8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [8], [7], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 7], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [], [], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [7], [8], [4, 4, 4], [4, 8], [4, 4, 4], [8]]
[[8], [], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [8], [], [8], [8], [7], [8], [4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [7], [4, 4, 4], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [], [8], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [7], [8], [4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [], []]
[[8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4], [8], [8], [], [7], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [], [], [8], [7], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [8], [], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [], [7], [4, 4], [4, 4], [4, 4], [8]]
[[8], [8], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [], [4, 4], [], [4, 4], [8], [4, 4], [], [8], [7], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8]]
[[], [8], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [7], [8], [4, 4], [], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4]]
[[], [8], [8], [], [4, 4], [8], [4, 4], [], [8], [], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [8]]
[[], [8], [7], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [], [], [8], [], [], [], [8], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [8], [8], [8]]
[[8], [], [8], [8], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [], [], [4, 4], [], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [7], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [8]]
[[], [], [8], [4, 4], [], [], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [], [], [8], [], [8], [8], [4, 4], [8], [7], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4]]
-EndAllocation

Instance: [[1], [286], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [190, 128, 96, 77, 64, 54, 48, 42, 38, 34, 32, 29, 28, 26, 24, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [143, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 6], [4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [6, 8, 8], [8, 8, 8], [8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [], [], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [6, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 6], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [4, 6, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 6]]
[[], [8, 8], [4, 4, 4, 4], [8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [6], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [6, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [], [8, 8], []]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [6], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [6, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [6, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [6, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [6], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 6]]
[[8], [8], [4, 4], [4, 8], [6], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4]]
[[8], [], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [6], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [6], [8], [], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [8], [6]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [6], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 6], [4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [6], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8]]
[[6], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [6], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [6], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [6], [8], [], [8], [], [8], [8], [4, 4], [], [4, 4], []]
[[8], [8], [8], [6], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [], [6], [8], [], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [], [8], [4, 4], [6], [], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [], [8], [6], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], []]
[[8], [], [8], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [8], [6], [4, 4], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [8]]
[[], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [6], [], [8], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [], [], [], [], [6], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [], [8]]
-EndAllocation

Instance: [[1], [285], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [190, 126, 96, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [143, 95, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8], [3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8], [3, 3, 8, 8, 8, 8, 8, 8], [3, 3, 3, 5, 5, 5, 5], [6, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [], [6, 8, 8, 8, 8, 8], [3, 5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8], [5, 5, 5, 5, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8], [3, 3, 3, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [6, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5], [3, 3, 3, 3, 3, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [3, 3, 3, 3, 3, 3, 3, 3, 8], [5, 5, 5, 5], [8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8, 8], [8, 8, 8]]
[[], [8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 8], [6, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 8], [8, 8, 8, 8], []]
[[], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [6, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [3, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [5, 5, 5, 5, 8], [3, 3, 3, 3, 3, 3, 3, 6], [8, 8, 8], [8, 8, 8], [8, 8], [8], [8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [5, 5, 5, 8], [8, 8, 8], [3, 8, 8], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [], [6, 8, 8], [5, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8]]
[[], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [], [8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3], [6, 8, 8]]
[[8], [6, 8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [6, 8], [8, 8], [3, 8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 8]]
[[], [6, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [5, 5, 5], [8, 8], [8, 8], [5, 8], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [8, 8], [6, 8], [3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [], [8, 8]]
[[], [8, 8], [], [3, 3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [3, 3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [5, 8], [6, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [5, 5, 5], [8, 8]]
[[], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [3, 3, 5], [], [8, 8], [8], [3, 3, 3, 3, 3], [6, 8], [8], [5, 5, 5], [8, 8], [8, 8]]
[[], [3, 3, 6], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [], [5, 5, 5], [3, 3, 3, 3, 3], [8, 8], [3, 3, 3, 3, 3], [5, 8], [8, 8], [8, 8], [], [8, 8], [8]]
[[], [3, 3, 8], [8, 8], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [5, 5, 5], [8], [], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [], [5, 6], [], [3, 3, 3, 3, 3], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [3, 3, 3, 3, 3], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 3, 3, 3], [5, 5, 5], [3, 3, 3, 3, 3], [], [8, 8], [8, 8], [8, 8], [8, 8], [6], [5, 8], [8, 8], [3, 3], [], [8], [], [8, 8], [8, 8]]
[[8], [8], [5, 8], [8], [3, 3, 8], [6, 8], [5, 8], [8], [3, 3, 8], [3, 3, 8], [5, 8], [8], [5, 8], [8], [8], [3, 3, 8], [3, 3, 8], [3, 8], [8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [3, 3, 8], [8]]
[[8], [8], [8], [5, 8], [8], [3, 3, 8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [3, 8], [5, 8], [3, 3, 8], [3, 3, 8], [8], [8], [6, 8], [3, 3, 8], [8], [8], [3, 3, 3, 3], [8], [5, 8], [8], [8], [5, 8]]
[[8], [8], [5, 8], [8], [8], [6, 8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 8], [8], [3, 3, 8], [8], [8], [8], [3, 8], [8], [8], [8], [3, 3, 8], [5, 8], [8], [3, 3, 3, 3], [3, 3, 8], [5, 8], [8], [5, 8]]
[[8], [3, 8], [3, 5, 5], [8], [3, 8], [3, 3, 6], [3, 8], [3, 8], [3, 8], [8], [3, 8], [8], [8], [3, 8], [3, 8], [3, 8], [3, 8], [3, 8], [8], [8], [8], [8], [8], [8], [3, 8], [8], [5, 5], [3, 8], [3, 8]]
[[8], [3, 8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [3, 8], [8], [3, 8], [5, 5], [8], [3, 3, 3, 3], [5, 8], [3, 8], [5, 8], [8], [3, 8], [8], [3, 8], [3, 8], [8], [8], [3, 8], [8], [8], [8], [8], [8], [6]]
[[8], [3, 8], [8], [3, 8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [5, 5], [8], [8], [6], [8], [3, 8], [8], [3, 3, 3, 3], [8], [8], [8], [3, 8], [8], [8], [5, 8], [3, 3, 3, 3], [5, 8], [8], [3, 8]]
[[8], [3, 8], [8], [3, 8], [5], [8], [3, 3, 3, 3], [6], [3, 8], [3, 3, 3, 3], [8], [8], [8], [5], [3, 8], [3, 8], [3, 8], [8], [8], [8], [3, 8], [8], [8], [8], [5, 5], [3, 8], [8], [3, 8], [8], [8], [8], [8]]
[[8], [3, 3, 3, 3], [8], [8], [8], [3, 3, 3, 3], [8], [3, 8], [8], [8], [8], [8], [8], [8], [8], [8], [5, 5], [8], [8], [8], [5, 5], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [8], [6], [3, 3, 3, 3], [8], [8]]
[[8], [8], [8], [5, 5], [5, 5], [8], [8], [8], [8], [8], [8], [8], [3, 8], [6], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3, 3], [3, 3, 3, 3], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [8], [8], [], [8], [8]]
[[8], [3, 6], [8], [8], [8], [8], [8], [], [3, 3, 3, 3], [8], [8], [5, 5], [8], [8], [8], [8], [8], [8], [8], [8], [5, 5], [8], [8], [3, 3, 3, 3], [8], [8], [3, 3, 3, 3], [8], [], [8], [8], [8], [3, 3, 3, 3], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [3, 6], [5, 5], [3, 3, 3], [3, 3, 3], [], [5, 5], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [3], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [3, 3, 3]]
[[8], [8], [8], [8], [8], [3, 3, 3], [8], [6], [8], [], [3, 3, 3], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [3, 3], [8], [8], [8], [8], [8], [8], [8], [5, 5], [5, 5], [8], [3, 3, 3], [8]]
[[8], [8], [6], [3, 3], [8], [8], [8], [8], [3, 3, 3], [5, 5], [5, 5], [8], [8], [8], [8], [8], [], [8], [8], [8], [3, 3, 3], [3, 3, 3], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [3, 3, 3], [8], []]
[[8], [6], [8], [8], [8], [], [8], [3, 3, 3], [], [], [8], [8], [], [5, 5], [8], [8], [3, 3, 3], [8], [8], [8], [8], [8], [8], [8], [3, 3], [8], [8], [8], [5, 5], [3, 3, 3], [8], [3, 3, 3], [8], [8], [8], [3, 3, 3], [8], [8], [8]]
[[8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [8], [], [8], [3, 3], [8], [8], [8], [8], [3, 3, 3], [8], [3, 3, 3], [], [8], [8], [8], [6], [8], [8], [8], [8], [], [8], [5, 5], [8], [8], [8], [8], [5, 5], [], [3, 3, 3], [8], [], [8]]
[[], [3, 3, 3], [3, 3, 3], [8], [3, 5], [8], [8], [8], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [3, 3, 3], [5], [3], [8], [8], [3, 3, 3], [8], [5], [], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [5], [6], [8]]
[[8], [8], [8], [3], [3, 5], [8], [8], [8], [5], [8], [8], [8], [], [8], [8], [], [8], [], [8], [3, 3, 3], [8], [5], [3, 3, 3], [3, 3, 3], [], [6], [], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [8], [8], [5], [8], [3, 3, 3], [8]]
[[8], [8], [8], [8], [8], [5], [8], [], [8], [3, 3, 3], [3, 3, 3], [], [5], [5], [8], [8], [8], [8], [8], [5], [8], [3, 3, 3], [8], [3, 3, 3], [], [8], [], [8], [3, 3, 3], [8], [3, 3], [8], [8], [6], [8], [], [8], [8], [], [8], [8], [8], [8]]
[[8], [8], [5], [8], [3, 3, 3], [8], [], [8], [3, 3], [8], [8], [3, 3, 3], [], [8], [], [8], [3, 5], [8], [], [8], [8], [3, 5], [8], [8], [8], [8], [8], [8], [3, 3, 3], [8], [8], [], [8], [], [], [3, 3, 3], [8], [8], [], [5], [8], [8], [8], [3, 6]]
[[8], [3, 3, 3], [8], [8], [5], [3, 3, 3], [8], [3, 3], [], [8], [8], [6], [8], [], [], [8], [8], [8], [8], [8], [], [3, 3, 3], [8], [], [8], [5], [8], [8], [8], [], [8], [5], [8], [8], [5], [3, 3, 3], [3, 3, 3], [8], [8], [], [8], [8], [8], [], [8]]
[[8], [], [8], [8], [8], [8], [8], [3], [8], [8], [8], [8], [8], [3, 3, 3], [5], [5], [8], [8], [3, 3, 3], [], [3, 3, 3], [], [8], [], [3, 3, 3], [8], [], [], [8], [8], [8], [8], [8], [8], [3, 6], [5], [], [8], [5], [8], [], [8], [8], [], [3, 3, 3], [8]]
[[5], [8], [8], [8], [8], [3, 3, 3], [8], [8], [], [8], [8], [], [3, 3], [], [], [3, 3, 3], [], [8], [], [8], [6], [8], [8], [5], [8], [3, 3, 3], [5], [8], [3, 3, 3], [8], [8], [8], [8], [8], [], [8], [3, 3, 3], [], [8], [8], [8], [], [8], [5], [], [8], [8]]
[[5], [8], [], [8], [], [8], [8], [3, 5], [8], [8], [8], [8], [8], [], [8], [8], [3, 3], [3, 3], [8], [3, 3], [], [8], [8], [], [6], [3, 3], [3, 3], [8], [8], [3, 3], [5], [], [8], [3, 3], [3, 3], [8], [], [], [], [8], [5], [8], [8], [8], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [284], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [], [], [8, 8], []]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 8], [], [4, 4, 4], [4, 8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4]]
[[8], [], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [], [8], [8], [4, 4], [], [4, 4], [4]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4], [8], [4, 4], [], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [], [8], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [4], []]
[[8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [], [], [], [8], [8], [8], [8], [8], [4], [4, 4], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [8]]
[[], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [4], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [], [], [4], [], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [], [8]]
-EndAllocation

Instance: [[1], [283], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,48. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8]]
[[4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [], [4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7], [8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [7, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [7], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 8, 8], [], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 7, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 7], [4, 4, 4, 4, 4], [4, 4, 4], [4, 8, 8], [], [4, 4, 4, 4, 4], [4, 8, 8], [], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 7], [], [8, 8], [4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8], [8, 8], [], [], [8, 8], []]
[[], [7, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4], [8], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [7], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8]]
[[8], [4, 4, 4], [7], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [8]]
[[8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 7]]
[[8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [7], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 7], [8], [4, 8], [4], [4, 4, 4], [4, 8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8], [], [4, 8], [4, 4, 4]]
[[8], [], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [], [8], [8], [7], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [8], [], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [7], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [4, 4, 4], [], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [], [8], [8], [4, 4, 4], [7], [], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [7], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [8], [4, 4], [7], [8], [8], [8], [8], [8]]
[[], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [7], [4, 4], [8], [4, 4], [8], [4, 4], [4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [4], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [7], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [4], [8], [8], [8], [8], [4, 4], [4, 4], [7], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [8], [], [7], [8], [4, 4], [], [4, 4], [4]]
[[8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [], [4], [8], [4, 4], [], [4, 4], [8], [7], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4]]
[[8], [7], [4, 4], [8], [4, 4], [8], [8], [8], [4], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [], [], [8], [8], [8], [8], [], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [8], [], [8], [4, 4], [4], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [], [8], [4, 4], [8], [], [], [4, 4], [4, 4], [7], [8], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8]]
[[], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [], [], [8], [8], [7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [4], []]
[[8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [], [], [], [8], [8], [8], [8], [8], [4], [4, 4], [7], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [], [4, 4], [8], [8]]
[[], [4, 4], [8], [8], [], [7], [], [8], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [4, 4], [], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [4], [4, 4], [], [8], [8], [4, 4], [4, 4], [8], []]
[[8], [], [], [4], [], [], [7], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [], [8]]
-EndAllocation

Instance: [[1], [294], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8]]
[[], [6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [6, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [6, 8, 8, 8], [8], [8, 8, 8, 8], []]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 8], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 6, 8, 8], [8, 8, 8], [8]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 6], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [6, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [6, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [6], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8], [6, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [8], [8, 8], [], [8, 8], [6, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8]]
[[], [6, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [], [], [], [8, 8], [4, 4, 4, 4]]
[[], [6, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8], [], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [6, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [6, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [6, 8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 6], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [6], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [6], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 6], [], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [6]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [4, 4, 4], [6], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 6], [8], [8], [8], [4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [6], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 6], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4], [], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [6], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [6], [8], [8], [4, 4]]
[[8], [4, 4], [8], [6], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4]]
[[], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [6], [4, 4], [8], [8], [8], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [6], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [6], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [], [], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [6], [], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], []]
[[8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [6], [4, 4], [8], [4, 4], [], [], [], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [6], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], []]
[[], [], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [8], [8], [6], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [293], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 5], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5]]
[[], [8, 8, 8, 8, 8], [5, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [5]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8], [5, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 8], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [5, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 5, 8, 8], [8, 8, 8], [8]]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [5], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [], [8, 8, 8], [], [5, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [5, 8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [5, 8], [8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 5], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [5, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [5], [4, 4, 4, 4], [], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [5, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [5], [8, 8], [], [], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [5, 8], [8], [], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [5, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [5, 8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [5, 8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [5, 8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 5], [4, 4, 4]]
[[8], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [5, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [5], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [8], [4, 5], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 8], [5], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [5], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4], [8], [8], [8], [4, 5], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [5], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [4, 4], [8], [8], [5], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [5], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [5], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [5], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4]]
[[], [8], [], [4, 4], [8], [4, 4], [4, 5], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [4], [8], [8], [8], [], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [5], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [], [], [5], [4, 4], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [], [], [8], [4, 4], [8], [], [4, 5], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], []]
[[8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [], [8], [], [5], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [], [], [], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [5], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], []]
[[], [], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [], [5], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [292], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [194, 130, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [146, 98, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], []]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8], [8], [8, 8, 8, 8], []]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4], [4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 8], [], [4, 4, 4, 4], [8], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4], [], [8], [8], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [4], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4]]
[[], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [], [8], [8], [8], [4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [], [4, 4], [8], [4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4], [], [8], [4, 4], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [], [], [8], [4, 4], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], []]
[[8], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [4], [4, 4], [], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [], [4], [], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], []]
[[], [], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4], [4, 4], [8], [], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [291], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [194, 129, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [146, 97, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8]]
[[7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 8, 8, 8], [], [8, 8, 8, 8], [7]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4], [4, 8, 8, 8], [8, 8, 8], [4, 7, 8, 8], [], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], []]
[[], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 8, 8], [4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4], [7, 8, 8], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [4, 4, 4, 7], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [7, 8], [8, 8], [4], [4, 4, 4, 4]]
[[], [7, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [7, 8], [4, 4, 4, 4], [4, 8], [], [4, 4, 4, 4], [8], [8, 8], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [7], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], []]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 7], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8], [], [8, 8], [], [], [], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [4], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [4, 7], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [8], [8], [7], [4, 8], [8], [8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8]]
[[8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [7], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8]]
[[8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [7], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [7], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4]]
[[8], [], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [7], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8]]
[[8], [7], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [], [8], [8], [4, 7], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [], [8], [4, 4, 4], [4, 8], [7], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [], [8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [7], [8], [], [8], [8], [8], [], [8], [4, 4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [7], [4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [7], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [8], [4], [4, 4]]
[[8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4], [4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [7], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [8], [4, 4], [8]]
[[8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [4], [4, 4], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [7], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [], [8], [], [8], [7], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4], [4, 4]]
[[], [8], [], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [4, 4], [8], [8], [8], [], [8], [8], [8], [4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [7], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [7], [8], [], [4, 4], [8], [], [], [8], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [], [8], [4], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [], [8], [], [], [4, 4], [8], [7], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [4], [], [8], [4, 4], [8], [4, 4]]
[[], [8], [8], [8], [8], [8], [7], [4, 4], [4, 4], [4, 4], [], [8], [8], [], [], [], [8], [4, 4], [8], [4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [], [8], [], [4, 4], [], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], []]
[[8], [7], [4, 4], [4, 4], [4, 4], [], [4, 4], [], [8], [8], [4, 4], [8], [8], [], [8], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [8], [8], [4], [4, 4], [], [4, 4], [8], [8]]
[[], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [], [4], [], [], [4, 4], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [8], [], []]
[[], [], [4, 4], [8], [8], [8], [], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4], [4, 4], [4, 4], [], [], [4, 4], [], [8], [8], [4, 4], [], [4, 4], [], [8], [], [], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [8], [8], [8]]
-EndAllocation

Instance: [[1], [290], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [6], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4], [], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [6, 8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 6], [8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 6, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [6, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 8, 8], [8, 8, 8], [8], [8, 8, 8], [6, 8, 8], [], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 8, 8], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [6, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4], [4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [8], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4], [4, 4, 4, 6], [8, 8], [8, 8], [], [8, 8], [8, 8]]
[[], [], [4, 4, 4, 4], [8, 8], [4, 8], [], [4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [6, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [], [], [], [8, 8], [8, 8], [6, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4], [4, 4, 4, 4]]
[[], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [8, 8], [4, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [6]]
[[], [8, 8], [4], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [6], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8], [], [], [8, 8]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [6, 8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [6, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 6], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [8]]
[[8], [8], [4, 4, 4], [8], [6], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 6], [4, 4, 4], [8]]
[[], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 6], [8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 6], [], [8], [8], [4, 4, 4], [4, 4], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [8], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [], [8], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [8], [], [8], [8], [8], [4, 8], [4, 8], [6], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [], [8]]
[[8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [4, 6], [8], [8], [4, 4]]
[[8], [8], [8], [4, 6], [], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [4, 6], [4, 4], [8], [8], [], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [6], [8], [8], [8], [4, 4], [], [4]]
[[], [8], [], [8], [8], [8], [8], [4, 6], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [6], [8], [8], [8], [4, 4], [8], [], [4, 4]]
[[], [4, 4], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [6], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [8]]
[[8], [4], [], [8], [], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [6], [4, 4], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [6], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4]]
[[8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [6], [8], [4, 4], [8], [8], [4, 4], [], [8], [4, 4], [], [4], [8], [8], [8], [8], [], [], [8], [8], [], [8], [8], [4, 4]]
[[], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [8], [8], [], [6], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [], [], [8], [], [8], [8], [8], [8], [8], [8], []]
[[], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [8], [8], [], [4, 4], [], [8], [6], [], [8], [], [8], [], [4, 4], [], [], [8], [8], [8], [8], [4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8]]
[[], [8], [6], [4, 4], [4, 4], [8], [], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [], [], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [], [], [], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4], [8], []]
-EndAllocation

Instance: [[1], [289], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,49. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,49:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [7, 7, 7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8]]
[[], [], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 7, 7, 7, 8, 8]]
[[], [7, 7, 7, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8]]
[[], [4, 4, 4, 7, 7, 7], [4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8], [8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4], [], [8, 8, 8, 8], [7, 7, 7, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [8, 8, 8], [7, 7, 7, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [7, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [7, 7, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [4, 7, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [7, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [7, 7, 7], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [7, 7, 7], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [7, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8], [8, 8], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [4, 4, 7], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 7, 7], [8, 8], [8, 8]]
[[], [], [8, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 7, 7], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8], [8, 8], [7], [8, 8], [8, 8]]
[[], [], [4, 4, 7], [8], [7, 7], [4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4]]
[[], [8, 8], [], [], [7, 7], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [7, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4], [4, 4, 4, 4]]
[[], [4], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], []]
[[], [8, 8], [4, 7], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [], [], [8, 8]]
[[8], [7], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [7, 7], [4, 4, 4], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 4, 4], [7, 7], [4, 8], [8], [8], [4, 8], [4, 8], [8], [8], [4, 7], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8]]
[[8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [7], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 7], [8], [8], [4, 8], [4, 7], [8]]
[[8], [7], [4, 4, 4], [8], [8], [8], [7], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 7], [8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 4], [4, 7], [8], [4, 4, 4], [7], [8], [8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [8]]
[[], [8], [8], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 7], [8], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 8], [8], [4, 7]]
[[8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [7], [8], [4, 4, 4], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 8], [7], [8], [8], [4, 4, 4], [4, 4], [8], [7], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [7], [8], [], [8], [], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 7]]
[[8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 7], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [], [], [8], [8], [4, 7], [8], [4, 4, 4], [8], [8], [8], [8], [7], [4], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [4, 7], [], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [4, 8], [4, 4, 4], [7], [], [8], [8], [8], [4, 8], [4, 8], [8], [8], [], [4, 4, 4], [4, 4, 4], [8], [8], [7], [8], [8], [], [8]]
[[8], [4, 4], [7], [4, 4], [4, 4], [4, 4], [8], [8], [7], [8], [8], [8], [4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [7], [8], [4, 4], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [8], [7], [8], [8], [8], [4, 4], [7], [8], [4], [8], [8], [4, 4], [4, 4], [7], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8]]
[[8], [7], [4, 4], [8], [8], [], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [7], [8], [8], [4, 4], [7], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [7], [4, 4], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [7], [8], [8], [8], [4, 4], [4, 4], [8], [7], [8], [4, 4], [8], [8], [8], [8], [4, 4], [], [4]]
[[8], [8], [], [8], [8], [7], [8], [8], [7], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [7], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [8], [4], [8]]
[[8], [8], [8], [4, 4], [], [7], [8], [8], [4, 4], [4], [8], [7], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [4, 4], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4]]
[[], [4, 4], [4], [8], [8], [7], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [], [7], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [7], [8], [], [4, 4], [8], [4, 4], [], [4, 4], [4, 4], [8], [8]]
[[8], [4, 4], [], [8], [], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [], [8], [], [4, 4], [4, 4], [8], [4, 4], [7], [8], [8], [8], [7], [8], [], [4], [8], [4, 4], [8], [8], [8], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[], [], [4, 4], [4, 4], [], [8], [8], [8], [8], [7], [8], [8], [8], [8], [8], [], [], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [7], [], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [7], [8], [8], [4, 4], [4]]
[[8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [4, 4], [8], [4, 4], [7], [], [8], [8], [8], [7], [8], [4, 4], [4, 4], [7], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [], [], [4, 4], [], [4, 4], [8], [8], [4], [8], [], [], [8], [8], [], [8], [8], [4, 4]]
[[], [4, 4], [4, 4], [8], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [7], [8], [], [], [4, 4], [4, 4], [4, 4], [7], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [7], [4, 4], [8], [4], [4, 4], [8], [], [8], [8], [], [], [8], [], [8], [8], [8], [8], [8], [8], []]
[[], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [7], [4, 4], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [4], [8], [], [4, 4], [], [8], [8], [], [8], [], [8], [], [4, 4], [], [], [8], [8], [8], [7], [7], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8]]
[[], [8], [], [4, 4], [4, 4], [8], [7], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [], [4], [], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [], [], [], [], [8], [], [7], [8], [8], [8], [4, 4], [8], [4, 4], [7], [4, 4], [8], []]
-EndAllocation

Instance: [[1], [300], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 32, 29, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 24, 22, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 8, 8]]
[[], [8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8]]
[[], [4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 8], [8, 8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8], [], [4, 4, 4, 4], [8, 8], [4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4]]
[[], [4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [], [], [8, 8], [], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [], [8], [4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [], [8]]
[[8], [8], [8], [4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [4, 8], [], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [8]]
[[], [8], [], [8], [4, 8], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8]]
[[8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8]]
[[8], [], [], [4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [], [8], [8], [], [4, 4], [4, 4], [4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4]]
[[], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4], [], [], [4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [], [8], [8], [], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], []]
[[8], [], [8], [8], [], [4, 4], [8], [8], [], [4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [8], []]
[[8], [8], [8], [], [], [8], [8], [], [], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4]]
[[8], [4, 4], [8], [], [8], [4, 4], [8], [4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [299], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 7, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [7, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 8, 8]]
[[], [8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [8], [4, 4, 4, 4, 4, 4], [7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8]]
[[], [4, 8, 8], [4, 7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 7], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4], [8, 8], [8, 8], [], [], [4, 4, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [], [4, 4, 4, 4], [8, 8], [4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4]]
[[], [4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [7], [8, 8], [], [], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [], [8], [4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 7], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [7], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8]]
[[8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 7], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4], [7], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [7], [8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [4, 8], [], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [4, 7], [4, 8], [4, 8], [4, 4, 4], [8]]
[[], [8], [], [8], [4, 8], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [7], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [7]]
[[8], [4, 4], [4, 4], [], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [7]]
[[8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [7], [4, 4], [8]]
[[8], [], [], [7], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [], [], [8], [], [4, 4], [4, 4], [4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4]]
[[], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [7], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4], [], [], [4, 4], [8], [8], [8], [7], [8]]
[[7], [8], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [], [8], [8], [], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], []]
[[8], [], [8], [8], [], [4, 4], [8], [8], [], [4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [8], []]
[[8], [8], [8], [], [], [7], [8], [], [], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4]]
[[8], [7], [8], [], [8], [4, 4], [4], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [298], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [198, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [149, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 7, 7], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8], [7, 7], [8, 8, 8, 8, 8], [4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [8, 8, 8], [4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8], [4, 4, 4, 4, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 7, 7, 8], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8]]
[[], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 7, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [7, 7, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [7, 7, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 8, 8]]
[[], [8, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [], [], [4, 4, 4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 8], [4, 4, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8]]
[[], [4, 8, 8], [4, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [7, 7], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 7, 7], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [7, 7], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [], [], [4, 4, 4, 4], [8, 8], [4], [8, 8], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [4, 4, 4, 4], [4]]
[[], [4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [7, 7], [8, 8], [], [], [8, 8], [], [4, 4, 4, 4], [], [8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [8, 8]]
[[], [], [8], [4], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4], [], [7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 4, 4], [7, 7], [8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [8], [8], [4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [7, 7], [8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8]]
[[8], [7], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [4, 7], [4, 8], [4, 8], [8], [8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 8], [8], [8], [8]]
[[8], [4, 4, 4], [4, 4, 4], [7], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [7], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [8], [4, 8]]
[[7], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [4, 7], [8], [8], [8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 4], [7], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 7], [8], [7], [8], [4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [7], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [], [4, 8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [], [8]]
[[8], [8], [8], [4, 4, 4], [7], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [4, 8], [], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [8], [8], [8], [8], [], [8], [4, 4, 4], [8], [4, 4, 4], [4, 7], [4, 8], [4, 8], [4, 4, 4], [8]]
[[], [8], [], [8], [4, 8], [8], [8], [4, 4, 4], [], [8], [8], [4, 4, 4], [7], [4, 4, 4], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8]]
[[8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [7], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [7], [8], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [7]]
[[8], [4, 4], [4, 4], [], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [4, 4], [4], [8], [4, 4], [8], [7]]
[[8], [8], [8], [], [4, 4], [8], [8], [4, 4], [8], [7], [], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [7], [8], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [7], [4, 4], [8]]
[[8], [], [], [7], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [], [7], [4, 4], [4, 4], [4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8]]
[[8], [], [], [8], [], [4, 4], [4, 4], [4], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [7], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [4, 4], [7], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [4, 4], [8], [8], [4, 4]]
[[], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [4], [8], [8], [8], [8], [], [4, 4], [7], [8], [8], [8], [4, 4], [8], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [7], [8], [8], [4, 4]]
[[8], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [], [], [8], [4, 4], [], [8], [8], [4, 4], [8], [], [8], [4, 4], [4, 4], [8], [7], [4, 4], [8], [8], [4, 4], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4], [], [], [4, 4], [8], [8], [8], [7], [8]]
[[7], [8], [8], [4, 4], [4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [], [8], [8], [], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [7]]
[[8], [], [8], [8], [], [4, 4], [8], [8], [7], [4], [4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 4], [4, 4], [], [4, 4], [], [8], [4, 4], [], [4, 4], [8], [8], [8], [], [8], [], [4, 4], [8], [8], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4], [8], [8], []]
[[8], [8], [8], [], [], [7], [8], [], [], [], [8], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [4], [], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [7], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4]]
[[8], [7], [8], [], [8], [4, 4], [4], [4, 4], [8], [], [8], [8], [8], [7], [4, 4], [8], [8], [4, 4], [8], [8], [], [4, 4], [8], [], [4, 4], [], [8], [8], [8], [8], [8], [], [4, 4], [8], [], [], [4, 4], [8], [8], [], [4, 4], [], [4, 4], [8], [], [], [8], [8], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [297], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [198, 132, 100, 80, 66, 57, 50, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [149, 99, 75, 60, 50, 43, 38, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 4, 6], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8]]
[[6], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [6, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4], [8, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8, 8], [7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [6], [4, 4, 4, 4, 4, 7, 8], [8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 7], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8]]
[[], [8, 8, 8], [8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 7], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 6], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6, 8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 6, 7], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [], [8, 8, 8], [4, 6, 8], [8, 8], [8, 8, 8]]
[[], [], [8, 8, 8], [4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [], [8, 8], [4, 4, 4, 4, 4, 4], [], [4, 4, 6, 7], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [4, 8], [8, 8], [4, 8, 8], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [4, 8, 8], [6, 8, 8], [8, 8], [4, 8, 8], [4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 4, 6], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 7], [8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8]]
[[], [4, 7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 6], [8, 8], [8, 8]]
[[], [4, 8, 8], [8, 8], [8, 8], [8, 8], [8], [], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [6, 7], [4, 4], [8, 8], [4, 8, 8], [], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [6, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 8], [8, 8], [8, 8], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [7, 8], [8, 8], [8, 8]]
[[], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7], [8], [8, 8], [4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 6]]
[[], [4, 4, 7], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [6], [8, 8], [8, 8], [8, 8], [8], [8, 8], [4, 4, 4, 4], [4, 4, 4]]
[[], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [4], [4, 4, 4, 4], [], [8], [4, 4, 4, 4], [6, 8], [8, 8], [7, 8], [8, 8], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [6], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [4], [7], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8], [8], [8, 8], [8, 8]]
[[8], [4, 4, 4], [8], [4, 7], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 8], [4, 8], [6, 8], [4, 4, 4]]
[[8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [6, 7], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [8]]
[[8], [4, 8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [7], [8], [4, 8], [6, 8], [8]]
[[8], [7], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [6], [8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8]]
[[8], [4, 8], [8], [4, 8], [8], [7], [8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [8], [8], [6], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 6], [4, 8], [8], [8], [8], [7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4, 4], [4, 4, 4], [6], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4], [8], [8], [8], [7], [8], [8], [4, 8], [8], [8], [8], [8], [4, 8], [4, 4, 4]]
[[8], [4, 4, 4], [8], [8], [], [8], [7], [8], [8], [4, 4, 4], [8], [8], [8], [8], [6], [4, 4], [4, 8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [4, 8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [7], [8], [8], [4, 4, 4], [], [4, 4, 4], [6], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8]]
[[], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 8], [8], [], [4, 4, 4], [8], [8], [4, 7], [8], [8], [8], [8], [4, 6], [8], [4, 4, 4], [], [8]]
[[8], [8], [4, 8], [4, 4, 4], [8], [8], [], [8], [4, 4, 4], [], [8], [], [4, 4, 4], [6], [8], [4, 4, 4], [8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [8], [8], [8], [8], [4, 4, 4], [4, 7], [8], [4, 8], [8], []]
[[8], [7], [8], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [6], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8]]
[[8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [7], [4, 4], [4, 4], [8], [6], [8], [8], [4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [], [4, 4], [4, 6], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [], [4, 4], [8], [8], [8], [7], [4, 4], [8], [4, 4], [], [4, 4], [8], [4, 4]]
[[8], [8], [8], [4, 4], [4, 4], [8], [7], [8], [8], [8], [8], [6], [4, 4], [8], [8], [8], [4, 4], [4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [], [8], [4, 4], [8], [8], [8], [], [8], [8], [8], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [6], [4, 4], [], [4, 4], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [7], [4, 4], [8]]
[[], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [7], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [8], [], [8], [6], [4, 4], [8], [8], [4], [4, 4], [8], [4, 4]]
[[], [8], [4, 4], [4, 4], [6], [], [8], [8], [4, 4], [8], [4, 4], [8], [7], [8], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [4, 4], [4], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8]]
[[], [8], [4, 4], [], [8], [8], [4, 4], [8], [4, 4], [8], [7], [], [], [8], [], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4], [8], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [8], [6], [8], [8]]
[[6], [4, 4], [8], [], [], [4, 4], [8], [], [4, 4], [4, 4], [], [8], [8], [7], [], [8], [4, 4], [8], [8], [], [4, 4], [8], [4], [8], [], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8]]
[[], [8], [4, 4], [], [4], [4, 4], [8], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [], [], [6], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [8], [4, 4], [], [7], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [8], [8], [8], [4, 4]]
[[], [], [8], [8], [], [4, 4], [8], [], [4, 4], [8], [], [4, 4], [8], [8], [], [8], [8], [8], [4, 4], [6], [4, 4], [], [4, 4], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [7], [], [8], [8], [4], [8], [], [8], [8], [4, 4], [4, 4], [], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [], [8], [4, 4], [], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4], [], [7], [4, 4], [8], [8], [4, 4], [6], [8], [8], [4, 4], [8], [8], [], [], [], [4, 4], [4, 4], [4], [8], [8], [], [4, 4], [8], [], [8], [8], []]
[[], [4, 4], [8], [8], [8], [], [], [4, 4], [8], [4, 4], [], [6], [4, 4], [8], [7], [8], [], [8], [8], [8], [4, 4], [8], [8], [], [], [8], [8], [], [8], [4, 4], [4, 4], [8], [4, 4], [8], [], [4], [8], [4, 4], [8], [], [], [8], [8], [4, 4], [8], [4, 4], [8], [], [8], [4, 4]]
-EndAllocation

Instance: [[1], [296], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [197, 132, 98, 80, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [148, 99, 74, 60, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4], [8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4]]
[[], [8, 8, 8], [4, 8, 8, 8], [8, 8, 8], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8], []]
[[], [], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8], [], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4], [8, 8], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [8, 8], [8, 8], [], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4]]
[[], [4, 4, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [8], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [8, 8], [8, 8], [8], [8, 8], [], [], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [], [4, 4, 8], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4], [], [4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], []]
[[], [], [], [8, 8], [8, 8], [8, 8], [4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8]]
[[8], [4, 8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8]]
[[8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 4, 4], [8]]
[[8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 8], [4, 8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 8], [4, 8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 8], [8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 4, 4]]
[[8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8]]
[[8], [], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [4, 4], [4, 8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [], [], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4]]
[[8], [8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [8], [4, 8], [4, 4], [8], [4, 4, 4], [4, 8], [8], [], [8], [], [8], [8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [8], [8], []]
[[8], [8], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [8]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4]]
[[8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [8], [], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8]]
[[8], [8], [8], [4, 4], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4]]
[[8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [8], [8], [4, 4], [8], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4]]
[[8], [4, 4], [8], [4, 4], [8], [8], [], [8], [4, 4], [8], [], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [], [4, 4], [4, 4], [8], [8]]
[[8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [8], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [4, 4], [], [8], [8], [], [8], [4, 4], [8], [], [8], [8], [], [8], [8]]
[[8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [], [], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8]]
[[], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [], [8], [8], [8], [4, 4], [8], [8], [4, 4], [8]]
[[8], [], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [], [4, 4], [], [8], []]
[[], [4, 4], [], [8], [8], [8], [], [4, 4], [8], [], [8], [4, 4], [], [4, 4], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [], [], [4, 4], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [], [8], [8], [8], [8]]
[[8], [8], [], [8], [4, 4], [], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [4, 4], [4, 4], [8], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [], [], [8], [], [4, 4], [4, 4], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [], [4, 4], [8], [4, 4], [], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [], [8], [8], [8], [4, 4], [], [], [4, 4], [8], [], [8], [8], [8], [8], [], []]
[[], [8], [8], [4, 4], [], [], [4, 4], [8], [8], [], [], [4, 4], [4, 4], [4, 4], [8], [8], [], [], [8], [4, 4], [4, 4], [8], [8], [4, 4], [], [], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [8], [8], [], [4, 4], [], [], [4, 4], [4, 4], [8], [8], [8], [8], [8]]
[[], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [], [], [8], [8], [8], [8], [4, 4], [4, 4], [], [], [4, 4], [8], [8], [], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [], [], [8], [], [], [8], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [295], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]; Results for m' = 2,...,50. UB Alg: [197, 132, 98, 78, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8], Opt: [148, 99, 74, 59, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6]
Allocation for m' = 2,...,50:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8]]
[[], [4, 4, 4, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [7, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[], [], [8, 8, 8, 8], [7, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8]]
[[], [], [8, 8, 8, 8], [8, 8, 8, 8], [8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8], [4, 4, 4, 4, 8, 8], [8, 8, 8, 8], [4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [7], [4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 8, 8, 8], [], [4, 8, 8, 8], [4, 4, 4, 4, 4, 8], [8, 8, 8]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [4, 4, 7], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8], [8, 8, 8]]
[[], [8, 8, 8], [8, 8, 8], [7, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4], [8, 8, 8], [], [8, 8, 8], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8], [4, 4, 4, 4, 4, 4], [8, 8, 8], [7], [4, 4, 4, 4, 4, 4], [], [4, 4]]
[[], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [7, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 7], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8], [8, 8], [8, 8], []]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [4, 8, 8], [8, 8], [8, 8], [7, 8], [4, 4, 4], [4, 4, 4, 4, 4], [], [], [8, 8], [8, 8], [8, 8]]
[[], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [8], [7], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [8, 8], [8, 8], [], [4, 8, 8], [8, 8], [4, 4, 4, 4, 4], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [7, 8], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4]]
[[], [8, 8], [], [4, 4, 4, 4], [4, 4, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [7], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [8, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [7, 8], [4, 4], []]
[[], [8, 8], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [8, 8], [8, 8], [8, 8], [4, 4, 4, 4], [], [8, 8], [], [7], [4, 4, 4, 4], [8, 8], [8, 8], [], [8], [4, 4, 4, 4], [8, 8]]
[[], [], [8, 8], [8, 8], [7, 8], [8, 8], [], [8, 8], [8, 8], [4, 4, 4, 4], [8, 8], [], [], [8, 8], [], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [8, 8], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4]]
[[8], [4, 8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 4, 4], [4, 7], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [8], [4, 8], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [4, 4, 4], [4, 8], [4, 8], [4, 8], [4, 4, 4], [8], [8], [4, 8], [4, 8], [8], [8], [4, 7], [4, 8], [4, 4, 4], [8], [8], [4, 8], [8], [4, 8], [8], [4, 8], [4, 8]]
[[8], [4, 8], [4, 8], [4, 4, 4], [4, 8], [8], [8], [8], [4, 7], [4, 8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [8], [8], [4, 8], [8], [8], [4, 8], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 8], [4, 8], [8], [8]]
[[8], [4, 4, 4], [8], [8], [8], [4, 8], [8], [8], [4, 8], [8], [8], [4, 7], [8], [8], [4, 4, 4], [4, 8], [8], [4, 8], [4, 8], [8], [8], [4, 4, 4], [8], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8]]
[[8], [4, 8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 8], [7], [4, 8], [4, 4, 4], [8], [4, 8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [4, 8], [8], [8], [8], [8], [8], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [8], [8], [4, 8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [4, 7], [8], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4]]
[[8], [8], [4, 4], [8], [8], [4, 4, 4], [8], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [7], [4, 4, 4], [8], [4, 4, 4], [8], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [4, 4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [7], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [], [8], [8], [8]]
[[8], [8], [8], [8], [8], [4, 4], [4, 4, 4], [7], [4, 4, 4], [8], [8], [8], [8], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [8], [8], [8], [], [8], [4, 4, 4], [], [8], [4, 4, 4], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8]]
[[8], [8], [8], [4, 4, 4], [8], [8], [], [4, 4, 4], [8], [8], [8], [4, 4, 4], [8], [4, 4], [8], [8], [4, 4, 4], [8], [8], [8], [8], [7], [], [8], [4, 4, 4], [8], [8], [8], [4, 4, 4], [4, 4, 4], [], [8], [8], [4, 4, 4], [8], [8]]
[[8], [8], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [8], [7]]
[[8], [8], [4, 4], [4, 4], [8], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [], [8], [8], [7], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8]]
[[8], [8], [4, 4], [8], [4, 4], [4, 4], [8], [7], [8], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [4, 4], [8], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [8], [8], [4, 4], [4, 4]]
[[8], [8], [], [8], [4, 4], [4, 4], [7], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [8], [], [8], [8], [8], [8], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [], [4, 4], [4, 4], [8]]
[[8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [], [4, 4], [8], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [8], [], [8], [8], [4, 4], [8], [], [8], [4, 4], [8], [8], [8], [8], [4, 4], [8], [8], [4, 4], [7], [8], [8], [], [8]]
[[], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [], [8], [4, 4], [4, 4], [8], [8], [], [8], [], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [4, 4], [7], [8], [8], [8], [4, 4]]
[[], [8], [8], [4, 4], [8], [8], [], [4, 4], [], [7], [8], [8], [8], [], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [], [4, 4], [4, 4]]
[[8], [8], [4, 4], [], [], [8], [8], [4, 4], [4, 4], [8], [4, 4], [8], [4, 4], [8], [], [8], [7], [], [], [4, 4], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [8], [8], [8], [4, 4], [], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4]]
[[8], [4, 4], [8], [4, 4], [], [8], [], [8], [], [8], [], [4, 4], [8], [8], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [8], [8], [], [8], [8], [7], [], [4, 4], [8], [4, 4], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [], [4, 4], [], [8], [4, 4]]
[[8], [4, 4], [4, 4], [4, 4], [8], [], [8], [8], [4, 4], [7], [], [], [8], [8], [4, 4], [8], [4, 4], [4, 4], [], [8], [8], [8], [8], [], [8], [8], [], [8], [8], [4, 4], [8], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [4, 4], [], [8], [4, 4], [8], [], [4, 4]]
[[], [8], [8], [4, 4], [7], [4, 4], [], [8], [], [4, 4], [8], [], [], [8], [8], [8], [4, 4], [8], [], [], [4, 4], [8], [4, 4], [8], [8], [8], [8], [8], [8], [4, 4], [4, 4], [8], [8], [], [4, 4], [], [], [4, 4], [8], [8], [4, 4], [8], [8], [4, 4], [8], [4, 4], [8]]
[[], [7], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [4, 4], [8], [], [8], [8], [], [8], [8], [8], [8], [], [8], [8], [], [4, 4], [8], [4, 4], [8], [8], [8], [], [], [4, 4], [4, 4], [8], [8], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [], [], [4, 4], [4, 4], [8]]
[[], [4, 4], [8], [8], [4, 4], [], [8], [8], [8], [], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [8], [8], [], [4, 4], [4, 4], [8], [4, 4], [8], [], [8], [8], [8], [], [], [8], [8], [8], [4, 4], [4, 4], [4, 4], [8], [8], [4, 4], [8], [8], [8], [7], [], [4, 4], [], [], []]
[[8], [8], [4, 4], [4, 4], [8], [8], [], [8], [4, 4], [8], [8], [8], [8], [8], [8], [8], [8], [], [8], [], [], [4, 4], [], [4, 4], [], [], [8], [4, 4], [7], [8], [8], [4, 4], [], [4, 4], [4, 4], [8], [4, 4], [4, 4], [8], [], [8], [4, 4], [8], [], [4, 4], [8], [8], [], [], []]
-EndAllocation

Instance: [[1], [27], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 8, 9]; Results for m' = 2,...,4. UB Alg: [18, 12, 9], Opt: [14, 9, 7]
Allocation for m' = 2,...,4:
-StartAllocation
[[8, 9], [5, 5]]
[[8], [9], [5, 5]]
[[5], [9], [8], [5]]
-EndAllocation

Instance: [[1], [26], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 8]; Results for m' = 2,...,4. UB Alg: [17, 12, 9], Opt: [13, 9, 7]
Allocation for m' = 2,...,4:
-StartAllocation
[[6, 8], [5, 7]]
[[5, 7], [6], [8]]
[[7], [6], [8], [5]]
-EndAllocation

Instance: [[1], [25], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 8]; Results for m' = 2,...,4. UB Alg: [17, 12, 9], Opt: [13, 9, 7]
Allocation for m' = 2,...,4:
-StartAllocation
[[5, 8], [5, 7]]
[[5, 7], [5], [8]]
[[5], [7], [8], [5]]
-EndAllocation

Instance: [[1], [35], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 8, 8, 9]; Results for m' = 2,...,5. UB Alg: [24, 16, 12, 9], Opt: [18, 12, 9, 7]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 8, 8], [5, 9]]
[[5, 5], [8, 8], [9]]
[[8], [8], [9], [5, 5]]
[[9], [5], [5], [8], [8]]
-EndAllocation

Instance: [[1], [34], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 8, 9]; Results for m' = 2,...,5. UB Alg: [22, 16, 12, 9], Opt: [17, 12, 9, 7]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 7, 8], [5, 9]]
[[5, 5], [8], [7, 9]]
[[5, 7], [8], [9], [5]]
[[9], [7], [5], [8], [5]]
-EndAllocation

Instance: [[1], [33], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 7, 8]; Results for m' = 2,...,5. UB Alg: [22, 14, 12, 9], Opt: [17, 11, 9, 7]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 6, 7], [7, 8]]
[[5, 6], [7, 7], [8]]
[[5, 6], [7], [8], [7]]
[[5], [8], [7], [7], [6]]
-EndAllocation

Instance: [[1], [42], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 8, 8, 9]; Results for m' = 2,...,6. UB Alg: [28, 18, 14, 12, 9], Opt: [21, 14, 11, 9, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 6, 8, 9], [6, 8]]
[[5, 9], [6, 6], [8, 8]]
[[5, 9], [], [6, 8], [6, 8]]
[[6, 6], [9], [8], [8], [5]]
[[6], [5], [9], [6], [8], [8]]
-EndAllocation

Instance: [[1], [41], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 7, 8, 9]; Results for m' = 2,...,6. UB Alg: [28, 18, 14, 12, 9], Opt: [21, 14, 11, 9, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 6, 7, 9], [6, 8]]
[[5, 9], [6, 6], [7, 8]]
[[5, 9], [], [6, 8], [6, 7]]
[[5, 7], [9], [], [8], [6, 6]]
[[6], [7], [5], [6], [9], [8]]
-EndAllocation

Instance: [[1], [49], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 7, 9, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [33, 22, 17, 13, 12, 9], Opt: [25, 17, 13, 10, 9, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[9, 9], [3, 3, 7, 9, 9]]
[[9], [3, 3, 7, 9], [9, 9]]
[[3, 3, 9], [7, 9], [9], [9]]
[[9], [9], [9], [3, 3, 7], [9]]
[[9], [9], [3, 3], [9], [9], [7]]
[[9], [], [9], [3, 3], [7], [9], [9]]
-EndAllocation

Instance: [[1], [48], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 7, 8, 8, 9]; Results for m' = 2,...,7. UB Alg: [32, 21, 16, 13, 10, 9], Opt: [24, 16, 12, 10, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[7, 8, 8, 9], [5, 5, 6]]
[[5, 8, 8], [7, 9], [5, 6]]
[[5, 9], [5], [6, 7], [8, 8]]
[[5, 6], [5, 8], [8], [9], [7]]
[[9], [8], [8], [5, 5], [7], [6]]
[[7], [9], [8], [5], [8], [5], [6]]
-EndAllocation

Instance: [[1], [47], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 8, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [32, 21, 16, 13, 10, 9], Opt: [24, 16, 12, 10, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 9], [6, 8, 9, 9]]
[[8, 9], [6, 9], [3, 3, 9]]
[[8], [3, 3, 9], [6, 9], [9]]
[[8], [9], [3, 9], [3, 9], [6]]
[[9], [8], [3, 3], [9], [9], [6]]
[[], [9], [3, 3], [6], [8], [9], [9]]
-EndAllocation

Instance: [[1], [46], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 9, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [30, 21, 16, 13, 10, 9], Opt: [23, 16, 12, 10, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 4, 9], [3, 9, 9, 9]]
[[9], [9, 9], [3, 3, 4, 9]]
[[9], [3, 3, 9], [4, 9], [9]]
[[9], [9], [4, 9], [3, 3], [9]]
[[9], [9], [3, 3], [9], [9], [4]]
[[9], [9], [3, 3], [9], [], [4], [9]]
-EndAllocation

Instance: [[1], [45], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 8, 8, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [30, 20, 16, 12, 10, 9], Opt: [23, 15, 12, 9, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[9, 9], [1, 1, 8, 8, 9]]
[[8], [1, 1, 8, 9], [9, 9]]
[[1, 1, 9], [9], [8, 8], [9]]
[[8], [9], [1, 1, 9], [8], [9]]
[[9], [8], [1, 1, 8], [9], [9], []]
[[9], [9], [], [8], [8], [1, 1], [9]]
-EndAllocation

Instance: [[1], [44], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 8, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [29, 20, 14, 12, 10, 9], Opt: [22, 15, 11, 9, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 9], [3, 8, 9, 9]]
[[8], [3, 3, 3, 9], [9, 9]]
[[3, 3, 8], [3, 9], [9], [9]]
[[8], [3, 3], [9], [9], [3, 9]]
[[9], [], [9], [9], [8], [3, 3, 3]]
[[], [9], [9], [3, 3, 3], [8], [9], []]
-EndAllocation

Instance: [[1], [43], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 9, 9, 9]; Results for m' = 2,...,7. UB Alg: [29, 20, 14, 12, 10, 9], Opt: [22, 15, 11, 9, 8, 7]
Allocation for m' = 2,...,7:
-StartAllocation
[[3, 3, 3, 7], [9, 9, 9]]
[[9], [3, 3, 3, 7], [9, 9]]
[[3, 9], [3, 9], [3, 7], [9]]
[[], [3, 7], [9], [3, 9], [3, 9]]
[[9], [], [9], [9], [3, 3], [3, 7]]
[[7], [], [9], [3, 3, 3], [9], [9], []]
-EndAllocation

Instance: [[1], [56], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 8, 8, 9, 9, 9, 9]; Results for m' = 2,...,8. UB Alg: [37, 25, 18, 16, 13, 10, 9], Opt: [28, 19, 14, 12, 10, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[2, 8, 8, 9, 9], [2, 9, 9]]
[[9, 9], [9, 9], [2, 2, 8, 8]]
[[8], [9, 9], [2, 2, 8], [9, 9]]
[[9], [9], [8, 8], [2, 2, 9], [9]]
[[9], [9], [9], [2, 2, 9], [8], [8]]
[[8], [9], [9], [8], [2, 2], [9], [9]]
[[], [2, 2], [9], [8], [8], [9], [9], [9]]
-EndAllocation

Instance: [[1], [54], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 7, 8, 9, 9, 9]; Results for m' = 2,...,8. UB Alg: [36, 24, 18, 14, 12, 10, 9], Opt: [27, 18, 14, 11, 9, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[8, 9, 9, 9], [4, 4, 4, 7]]
[[9], [4, 4, 7, 9], [4, 8, 9]]
[[9], [7, 8], [4, 4, 4], [9, 9]]
[[8], [4, 9], [4, 9], [4, 7], [9]]
[[7], [9], [4, 4, 4], [9], [8], [9]]
[[7], [4], [8], [4, 4], [9], [9], [9]]
[[], [9], [9], [8], [9], [4, 4], [4], [7]]
-EndAllocation

Instance: [[1], [53], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7, 8, 9]; Results for m' = 2,...,8. UB Alg: [36, 24, 18, 14, 12, 10, 9], Opt: [27, 18, 14, 11, 9, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 8], [5, 5, 7, 7, 9]]
[[7, 7, 8], [9], [5, 5, 6, 6]]
[[5, 5, 8], [6, 6], [9], [7, 7]]
[[5, 5], [9], [7, 7], [8], [6, 6]]
[[5, 5], [7], [9], [7], [6, 6], [8]]
[[5, 5], [6], [6], [9], [8], [7], [7]]
[[5], [5], [6], [8], [7], [6], [7], [9]]
-EndAllocation

Instance: [[1], [52], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 8, 8, 9]; Results for m' = 2,...,8. UB Alg: [34, 24, 17, 14, 12, 10, 9], Opt: [26, 18, 13, 11, 9, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 8], [5, 5, 5, 8, 9]]
[[5, 5, 5, 6], [6, 8, 8], [9]]
[[8, 9], [8], [6, 6], [5, 5, 5]]
[[6, 8], [5], [5, 5], [6, 8], [9]]
[[9], [8], [5], [8], [6, 6], [5, 5]]
[[6], [8], [9], [5, 5], [8], [6], [5]]
[[8], [8], [9], [5], [5], [6], [6], [5]]
-EndAllocation

Instance: [[1], [51], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 8, 9, 9, 9]; Results for m' = 2,...,8. UB Alg: [34, 22, 17, 14, 12, 10, 9], Opt: [26, 17, 13, 11, 9, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 9, 9, 9], [3, 3, 3, 8]]
[[8], [3, 3, 7, 9], [3, 9, 9]]
[[9], [3, 3, 3, 7], [9], [8, 9]]
[[8], [9], [3, 9], [9], [3, 3, 7]]
[[7], [9], [9], [8], [3, 3, 3], [9]]
[[9], [], [8], [7], [9], [9], [3, 3, 3]]
[[], [9], [9], [9], [8], [3, 3, 3], [7], []]
-EndAllocation

Instance: [[1], [50], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 8, 8, 8]; Results for m' = 2,...,8. UB Alg: [33, 22, 17, 13, 12, 10, 9], Opt: [25, 17, 13, 10, 9, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 5, 5, 5], [6, 8, 8, 8]]
[[5, 6, 8], [5, 5, 5], [8, 8]]
[[5, 5, 6], [5, 5], [8], [8, 8]]
[[5, 8], [8], [6], [5, 8], [5, 5]]
[[5, 5], [8], [8], [6], [8], [5, 5]]
[[8], [6], [5, 5], [8], [], [5, 5], [8]]
[[8], [8], [6], [5], [8], [5], [5], [5]]
-EndAllocation

Instance: [[1], [63], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 7, 8, 9, 9, 9, 9]; Results for m' = 2,...,9. UB Alg: [42, 28, 21, 17, 14, 12, 10, 9], Opt: [32, 21, 16, 13, 11, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[4, 4, 7, 8], [4, 9, 9, 9, 9]]
[[9], [4, 4, 4, 7, 9], [8, 9, 9]]
[[4], [4, 8, 9], [9, 9], [4, 7, 9]]
[[9], [7, 9], [9], [8, 9], [4, 4, 4]]
[[9], [4, 8], [4, 7], [4, 9], [9], [9]]
[[9], [9], [8], [9], [7], [4, 4, 4], [9]]
[[9], [4], [4, 4], [9], [8], [9], [9], [7]]
[[], [9], [8], [4], [9], [7], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [62], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,9. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9], Opt: [31, 21, 16, 13, 11, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[3, 3, 8, 9], [3, 9, 9, 9, 9]]
[[9], [8, 9, 9], [3, 3, 3, 9, 9]]
[[9], [8, 9], [9, 9], [3, 3, 3, 9]]
[[9], [3, 9], [3, 3, 9], [8, 9], [9]]
[[9], [8], [9], [3, 9], [3, 9], [3, 9]]
[[9], [9], [8], [9], [9], [3, 3, 3], [9]]
[[9], [], [9], [9], [9], [9], [3, 3, 3], [8]]
[[], [9], [8], [3, 3, 3], [9], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [61], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 9, 9, 9, 9, 9]; Results for m' = 2,...,9. UB Alg: [41, 28, 21, 17, 14, 12, 10, 9], Opt: [31, 21, 16, 13, 11, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[3, 3, 7, 9], [3, 9, 9, 9, 9]]
[[9], [7, 9, 9], [3, 3, 3, 9, 9]]
[[9], [9, 9], [9, 9], [3, 3, 3, 7]]
[[9], [3, 9], [3, 3, 9], [9], [7, 9]]
[[9], [9], [9], [3, 7], [3, 9], [3, 9]]
[[9], [9], [9], [9], [7], [3, 3, 3], [9]]
[[9], [], [9], [9], [9], [9], [3, 3, 3], [7]]
[[], [9], [9], [3, 3, 3], [9], [7], [], [9], [9]]
-EndAllocation

Instance: [[1], [60], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 7, 7, 8, 8, 9]; Results for m' = 2,...,9. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9], Opt: [30, 20, 15, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 7, 8, 8], [6, 7, 9]]
[[5, 6, 7, 7], [5, 5, 8, 8], [9]]
[[8, 8], [5, 7, 7], [5, 5, 9], [6]]
[[5, 5, 5], [6, 9], [], [8, 8], [7, 7]]
[[5, 5], [9], [5, 7], [8], [6, 7], [8]]
[[5, 5], [5, 7], [8], [8], [9], [6], [7]]
[[9], [6], [5], [8], [8], [5, 5], [7], [7]]
[[9], [7], [5], [5], [7], [6], [5], [8], [8]]
-EndAllocation

Instance: [[1], [59], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 7, 7, 7, 8, 9]; Results for m' = 2,...,9. UB Alg: [40, 26, 20, 16, 13, 12, 10, 9], Opt: [30, 20, 15, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 7, 7, 8], [6, 7, 9]]
[[5, 7, 7, 7], [5, 5, 6, 8], [9]]
[[5, 7, 8], [5, 7, 7], [5, 9], [6]]
[[5, 7], [9], [5, 5], [6, 8], [7, 7]]
[[5, 5], [9], [5, 7], [7], [6, 7], [8]]
[[5, 7], [7], [5, 5], [8], [9], [6], [7]]
[[7], [6], [5], [8], [7], [5, 5], [9], [7]]
[[9], [7], [6], [5], [7], [7], [5], [8], [5]]
-EndAllocation

Instance: [[1], [58], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 8, 9, 9, 9]; Results for m' = 2,...,9. UB Alg: [38, 26, 20, 16, 13, 12, 10, 9], Opt: [29, 20, 15, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 9, 9], [4, 4, 4, 4, 7, 8]]
[[4, 4], [7, 8, 9], [4, 4, 9, 9]]
[[7], [9, 9], [8, 9], [4, 4, 4, 4]]
[[9], [7, 8], [9], [9], [4, 4, 4, 4]]
[[9], [4, 8], [], [4, 7], [4, 9], [4, 9]]
[[8], [9], [9], [9], [], [4, 4, 4], [4, 7]]
[[9], [9], [9], [], [7], [8], [4, 4], [4, 4]]
[[], [4, 4], [4, 4], [], [9], [7], [9], [8], [9]]
-EndAllocation

Instance: [[1], [57], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 8, 9, 9, 9]; Results for m' = 2,...,9. UB Alg: [38, 25, 20, 16, 13, 12, 10, 9], Opt: [29, 19, 15, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 9, 9], [4, 4, 4, 4, 6, 8]]
[[4, 6], [4, 4, 8, 9], [4, 9, 9]]
[[8], [9, 9], [4, 9], [4, 4, 4, 6]]
[[9], [4, 4, 8], [9], [9], [4, 4, 6]]
[[9], [4, 8], [], [4, 6], [4, 9], [4, 9]]
[[], [9], [9], [9], [6], [4, 4, 4], [4, 8]]
[[9], [9], [9], [8], [4], [4, 6], [], [4, 4]]
[[], [4, 4], [4, 4], [], [6], [9], [9], [8], [9]]
-EndAllocation

Instance: [[1], [70], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,10. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10, 9], Opt: [35, 24, 18, 14, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 9], [3, 3, 3, 8, 8, 9, 9]]
[[9, 9], [9, 9, 9], [3, 3, 3, 8, 8]]
[[9, 9], [9, 9], [3, 3, 3, 9], [8, 8]]
[[], [3, 3, 3, 9], [8, 8], [9, 9], [9, 9]]
[[9], [9], [3, 3, 9], [3, 9], [8, 8], [9]]
[[9], [3, 9], [9], [3, 9], [9], [8], [3, 8]]
[[9], [9], [8], [9], [8], [9], [3, 3, 3], [9]]
[[8], [9], [3, 3, 3], [9], [], [9], [8], [9], [9]]
[[9], [9], [], [3, 3, 3], [9], [9], [8], [], [9], [8]]
-EndAllocation

Instance: [[1], [69], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,10. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10, 9], Opt: [35, 23, 18, 14, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 9], [3, 3, 3, 7, 8, 9, 9]]
[[9, 9], [7, 9, 9], [3, 3, 3, 8, 9]]
[[9], [9, 9], [3, 3, 3, 9], [7, 8, 9]]
[[], [3, 3, 3, 7], [8, 9], [9, 9], [9, 9]]
[[9], [7, 9], [3, 9], [9], [3, 3, 8], [9]]
[[9], [3, 9], [9], [3, 9], [7], [9], [3, 8]]
[[9], [9], [8], [9], [9], [9], [3, 3, 3], [7]]
[[], [9], [3, 7], [9], [3, 3], [9], [8], [9], [9]]
[[9], [9], [], [3, 3, 3], [9], [9], [8], [7], [9], []]
-EndAllocation

Instance: [[1], [68], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,10. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[6, 9, 9], [3, 3, 3, 8, 9, 9, 9]]
[[9, 9], [6, 9, 9], [3, 3, 3, 8, 9]]
[[9, 9], [9, 9], [3, 3, 3, 6], [8, 9]]
[[], [3, 3, 3, 9], [8, 9], [6, 9], [9, 9]]
[[9], [9], [3, 9], [6, 9], [3, 3, 8], [9]]
[[9], [3, 9], [9], [6], [9], [3, 9], [3, 8]]
[[9], [9], [8], [9], [9], [9], [3, 3, 3], [6]]
[[6], [9], [3, 3, 3], [9], [], [9], [8], [9], [9]]
[[9], [9], [], [3, 3, 3], [9], [6], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [67], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 7, 8, 8, 9]; Results for m' = 2,...,10. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10, 9], Opt: [34, 23, 17, 14, 12, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 6, 6, 6, 8, 8], [7, 7, 9]]
[[7, 7, 8, 8], [5, 5, 9], [6, 6, 6]]
[[6, 7, 7], [6, 6], [5, 5, 9], [8, 8]]
[[8, 8], [5, 5, 7], [7, 9], [6, 6, 6], []]
[[8, 8], [], [6, 6], [6, 9], [7, 7], [5, 5]]
[[6, 6], [8], [5, 7], [5, 6], [8], [9], [7]]
[[8], [5, 6], [8], [7], [5, 7], [], [6, 6], [9]]
[[6], [6], [5, 5], [7], [9], [8], [7], [6], [8]]
[[7], [6], [8], [9], [5], [6], [5], [6], [8], [7]]
-EndAllocation

Instance: [[1], [66], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 7, 7, 7, 7, 8, 9]; Results for m' = 2,...,10. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10, 9], Opt: [33, 22, 17, 14, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 6, 7, 7, 7, 9], [5, 5, 7, 8]]
[[5, 5, 5, 6, 8], [7, 7, 7, 7], [9]]
[[6, 7, 9], [7, 7], [5, 5, 5, 7], [8]]
[[8, 9], [7, 7], [5, 5, 5], [7, 7], [6]]
[[5, 7], [6, 7], [5, 5], [9], [8], [7, 7]]
[[6, 7], [5, 7], [5, 5], [7], [7], [9], [8]]
[[8], [5, 6], [5, 7], [], [7], [5, 7], [9], [7]]
[[7], [7], [5, 5], [7], [7], [5], [8], [9], [6]]
[[7], [5], [9], [5], [5], [7], [6], [7], [7], [8]]
-EndAllocation

Instance: [[1], [65], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 7, 7, 8, 8, 8]; Results for m' = 2,...,10. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10, 9], Opt: [33, 22, 17, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 5, 6, 6, 7, 7], [8, 8, 8]]
[[6, 6, 7, 7], [5, 5], [5, 8, 8, 8]]
[[7, 7, 8], [6], [5, 5, 5, 6], [8, 8]]
[[5, 8], [6, 6], [8, 8], [5, 5], [7, 7]]
[[5, 8], [6, 6], [5, 5], [7, 7], [8], [8]]
[[5, 8], [6, 6], [7], [8], [5, 5], [7], [8]]
[[8], [8], [8], [5, 5], [], [5, 7], [7], [6, 6]]
[[8], [5], [6], [8], [8], [5, 5], [6], [7], [7]]
[[7], [6], [8], [5], [5], [7], [6], [5], [8], [8]]
-EndAllocation

Instance: [[1], [77], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 7, 7, 7, 7, 7, 9, 9, 9]; Results for m' = 2,...,11. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10, 9], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[4, 5, 6, 9, 9, 9], [7, 7, 7, 7, 7]]
[[4, 6, 7, 7, 7], [5, 9, 9, 9], [7, 7]]
[[4, 5, 6, 7], [7, 7, 7], [7, 9], [9, 9]]
[[4, 6, 7], [7, 7, 7], [5, 7], [9, 9], [9]]
[[7, 7], [7, 9], [5, 9], [7, 9], [], [4, 6, 7]]
[[4, 5], [9], [7, 7], [7, 7], [9], [9], [6, 7]]
[[4, 9], [5, 7], [6, 7], [7], [7], [9], [7], [9]]
[[9], [5, 7], [9], [7], [7], [9], [7], [7], [4, 6]]
[[4, 5], [7], [7], [7], [7], [7], [9], [9], [9], [6]]
[[7], [7], [6], [7], [7], [7], [9], [9], [9], [], [4, 5]]
-EndAllocation

Instance: [[1], [76], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 7, 7, 7, 7, 8, 9, 9, 9]; Results for m' = 2,...,11. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10, 9], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[5, 5, 8, 9, 9, 9], [3, 7, 7, 7, 7]]
[[3, 5, 5, 7, 7, 7], [9, 9, 9], [7, 8]]
[[3, 7, 7, 7], [5, 5, 7], [8, 9], [9, 9]]
[[3, 7, 9], [7, 7, 7], [5, 5, 8], [], [9, 9]]
[[3, 5, 5], [7, 7], [7, 7], [9], [9], [8, 9]]
[[3, 5, 5], [7, 7], [7, 7], [9], [9], [8], [9]]
[[3, 7], [5, 7], [5, 7], [7], [9], [9], [8], [9]]
[[3, 9], [5, 7], [5, 7], [7], [9], [], [7], [9], [8]]
[[3, 5], [7], [9], [7], [7], [7], [9], [5], [9], [8]]
[[3, 5], [5], [7], [9], [7], [7], [7], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [75], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,11. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10, 9], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 9, 9], [3, 3, 3, 4, 9, 9, 9, 9]]
[[8, 9], [9, 9, 9], [3, 3, 3, 4, 9, 9]]
[[9], [3, 3, 9, 9], [4, 9, 9], [3, 8, 9]]
[[9], [8, 9], [3, 3, 3, 9], [4, 9], [9, 9]]
[[9], [3, 3, 9], [8, 9], [3, 9], [9], [4, 9]]
[[9], [3, 9], [4, 9], [3, 9], [3, 8], [9], [9]]
[[9], [8], [4, 9], [9], [3, 3, 3], [9], [9], [9]]
[[9], [8], [3, 3, 3], [9], [4], [9], [9], [9], [9]]
[[9], [8], [], [9], [9], [3, 3, 3], [9], [4], [9], [9]]
[[9], [9], [], [9], [8], [3, 3, 3], [9], [4], [9], [9], []]
-EndAllocation

Instance: [[1], [74], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,11. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 9, 9], [3, 3, 3, 3, 9, 9, 9, 9]]
[[8, 9], [9, 9, 9], [3, 3, 3, 3, 9, 9]]
[[9], [3, 3, 9, 9], [9, 9], [3, 3, 8, 9]]
[[9], [8, 9], [3, 3, 3, 3], [9, 9], [9, 9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [9], [8, 9]]
[[9], [3, 9], [3, 9], [8], [3, 9], [9], [3, 9]]
[[9], [8], [9], [9], [3, 3, 3, 3], [9], [9], [9]]
[[9], [8], [3, 3, 3, 3], [9], [], [9], [9], [9], [9]]
[[9], [8], [], [9], [3], [3, 3, 3], [9], [9], [9], [9]]
[[9], [9], [], [9], [8], [3, 3, 3], [9], [9], [3], [9], []]
-EndAllocation

Instance: [[1], [73], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,11. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10, 9], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 8, 9], [3, 3, 3, 3, 9, 9, 9, 9]]
[[8, 8], [9, 9, 9], [3, 3, 3, 3, 9, 9]]
[[9], [3, 3, 9, 9], [9, 9], [3, 3, 8, 8]]
[[9], [8, 8], [3, 3, 3, 3], [9, 9], [9, 9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [9], [8, 8]]
[[9], [3, 9], [3, 9], [8], [3, 3, 8], [9], [9]]
[[8], [8], [9], [9], [3, 3, 3, 3], [9], [9], [9]]
[[9], [8], [3, 3, 3, 3], [9], [], [9], [9], [9], [8]]
[[9], [8], [], [9], [3], [3, 3, 3], [9], [8], [9], [9]]
[[9], [9], [], [], [8], [3, 3, 3], [9], [9], [3], [9], [8]]
-EndAllocation

Instance: [[1], [72], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 7, 8, 8, 9, 9]; Results for m' = 2,...,11. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[5, 5, 5, 5, 5, 7, 8, 8], [6, 9, 9]]
[[5, 5, 5, 6, 7], [8, 8], [5, 5, 9, 9]]
[[7, 8, 8], [5, 9, 9], [6], [5, 5, 5, 5]]
[[5, 6, 7], [], [9, 9], [8, 8], [5, 5, 5, 5]]
[[5, 5, 5], [5, 9], [6, 8], [7], [5, 9], [8]]
[[5, 8], [5, 5], [9], [6, 7], [8], [9], [5, 5]]
[[5, 5], [7], [8], [5, 5], [8], [9], [5, 6], [9]]
[[7], [8], [9], [9], [8], [5], [6], [5, 5], [5, 5]]
[[5, 5], [5], [8], [9], [9], [7], [8], [6], [5, 5], []]
[[5], [5], [5], [6], [5], [9], [7], [8], [5], [8], [9]]
-EndAllocation

Instance: [[1], [71], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 7, 7, 8, 9, 9]; Results for m' = 2,...,11. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10, 10, 9], Opt: [36, 24, 18, 15, 12, 11, 9, 8, 8, 7]
Allocation for m' = 2,...,11:
-StartAllocation
[[5, 5, 5, 5, 5, 7, 7, 8], [6, 9, 9]]
[[5, 5, 5, 7, 7], [6, 8], [5, 5, 9, 9]]
[[7, 8, 9], [5, 5, 9], [6], [5, 5, 5, 7]]
[[5, 5, 5, 5], [], [9, 9], [5, 6, 8], [7, 7]]
[[5, 5, 5], [5, 9], [6, 8], [7, 7], [5, 9], []]
[[5, 8], [5, 5], [9], [6], [7, 7], [9], [5, 5]]
[[5, 7], [7], [9], [5, 5], [8], [9], [5, 5], [6]]
[[7], [8], [9], [9], [5], [5, 5], [6], [7], [5, 5]]
[[5, 5], [5], [8], [9], [9], [7], [7], [6], [5, 5], []]
[[5], [5], [5], [6], [5], [9], [7], [7], [5], [8], [9]]
-EndAllocation

Instance: [[1], [84], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 9, 9, 9, 9], [4, 4, 7, 7, 7, 7, 7]]
[[4, 4, 7], [9, 9, 9, 9], [5, 7, 7, 7, 7]]
[[5, 7], [7, 7, 7, 7], [4, 4, 9, 9], [9, 9]]
[[4, 4, 7, 7], [5, 7, 7], [7], [9, 9], [9, 9]]
[[4, 4, 5], [7], [7, 7], [7, 7], [9, 9], [9, 9]]
[[7, 7], [4, 4, 5], [7, 9], [7, 7], [9], [9], [9]]
[[5, 7], [7, 7], [4, 4], [7, 7], [9], [9], [9], [9]]
[[4, 7], [9], [4, 9], [7], [7], [5, 7], [9], [7], [9]]
[[9], [7], [7], [7], [9], [4, 4], [9], [9], [7], [5, 7]]
[[5], [9], [9], [7], [7], [4, 4], [7], [7], [9], [7], [9]]
[[4, 4], [5], [], [7], [7], [7], [7], [9], [7], [9], [9], [9]]
-EndAllocation

Instance: [[1], [83], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[9], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [4, 4]]
[[], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4]]
[[9], [], [4], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [82], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10, 9], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 9]]
[[9], [4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9]]
[[9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [4, 9], [9], [4, 4, 8], [4, 9], [4, 9]]
[[9], [9], [4, 8], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [8]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [], [9], [4]]
[[], [9], [9], [9], [8], [4, 4], [9], [9], [9], [4, 4], [4]]
[[9], [], [4], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [8]]
-EndAllocation

Instance: [[1], [81], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10, 9], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 4, 8], [8, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8]]
[[9], [4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9]]
[[9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 8], [8, 9], [4, 4, 4, 4], [9, 9], [9]]
[[9], [9], [8, 8], [9], [4, 4, 4, 4], [9], [4, 9]]
[[9], [4, 8], [8], [9], [4, 9], [9], [9], [4, 4, 4]]
[[9], [8], [9], [4, 4], [9], [4, 4, 4], [9], [9], [8]]
[[8], [9], [9], [4, 4, 4], [9], [9], [4, 8], [], [9], [4]]
[[], [8], [9], [9], [8], [4, 4], [9], [9], [9], [4, 4], [4]]
[[9], [8], [4], [9], [9], [], [9], [], [4, 4], [9], [4, 4], [8]]
-EndAllocation

Instance: [[1], [80], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 5, 7, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 2, 2, 5, 7, 9], [8, 9, 9, 9, 9, 9]]
[[8], [2, 2, 2, 5, 7, 9, 9], [9, 9, 9, 9]]
[[9], [7, 8, 9], [2, 2, 2, 9, 9], [5, 9, 9]]
[[9], [2, 2, 2, 9], [8, 9], [9, 9], [5, 7, 9]]
[[9], [7, 8], [5, 9], [9, 9], [9], [2, 2, 2, 9]]
[[9], [9], [5, 9], [7, 9], [8], [2, 2, 2, 9], [9]]
[[9], [9], [2, 9], [8], [2, 2, 9], [9], [9], [5, 7]]
[[8], [9], [9], [2, 2, 2], [9], [9], [9], [5, 7], [9]]
[[8], [9], [9], [9], [9], [7], [9], [2, 2, 2], [5], [9]]
[[9], [9], [], [2, 2, 2], [9], [9], [7], [9], [5], [9], [8]]
[[9], [], [9], [7], [9], [], [9], [9], [8], [2, 2, 2], [9], [5]]
-EndAllocation

Instance: [[1], [79], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 4, 7, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10, 10, 9], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[2, 7, 8, 9], [2, 2, 4, 9, 9, 9, 9, 9]]
[[2, 2, 4], [2, 7, 8, 9, 9], [9, 9, 9, 9]]
[[9], [7, 8, 9], [2, 2, 2, 9, 9], [4, 9, 9]]
[[9], [2, 2, 2, 9], [4, 8, 9], [9, 9], [7, 9]]
[[], [4, 7], [9, 9], [9, 9], [8, 9], [2, 2, 2, 9]]
[[9], [9], [9], [7, 9], [8], [2, 2, 2, 9], [4, 9]]
[[7], [9], [2, 8], [9], [2, 2, 9], [9], [9], [4, 9]]
[[8], [7], [9], [2, 2, 2, 4], [9], [9], [9], [9], [9]]
[[8], [9], [9], [4], [9], [7], [9], [2, 2, 2], [9], [9]]
[[9], [9], [], [2, 2, 2, 4], [9], [9], [7], [9], [], [9], [8]]
[[9], [], [4], [7], [9], [], [9], [9], [8], [2, 2, 2], [9], [9]]
-EndAllocation

Instance: [[1], [78], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 6, 7, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,12. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10, 10, 9], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,12:
-StartAllocation
[[9, 9, 9], [1, 1, 1, 6, 7, 8, 9, 9, 9]]
[[9, 9], [6, 7, 8, 9], [1, 1, 1, 9, 9, 9]]
[[9], [1, 1, 1, 8, 9], [7, 9, 9], [6, 9, 9]]
[[9], [9, 9], [6, 9], [7, 9], [1, 1, 1, 8, 9]]
[[9], [9], [6, 9], [8, 9], [1, 1, 1, 9], [7, 9]]
[[9], [6, 9], [1, 1, 1, 9], [8], [9], [7, 9], [9]]
[[6, 7], [9], [8], [9], [9], [9], [9], [1, 1, 1, 9]]
[[8], [9], [6], [9], [9], [1, 1, 1, 9], [9], [9], [7]]
[[9], [9], [7], [9], [9], [1, 1, 1], [8], [9], [9], [6]]
[[9], [9], [8], [9], [9], [7], [], [9], [9], [], [1, 1, 1, 6]]
[[9], [9], [9], [], [6], [1, 1, 1], [9], [], [7], [9], [8], [9]]
-EndAllocation

Instance: [[1], [91], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10, 9], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[9, 9, 9, 9], [3, 3, 3, 3, 8, 8, 9, 9, 9]]
[[9, 9], [3, 3, 3, 3, 8, 8, 9], [9, 9, 9, 9]]
[[9], [8, 8, 9], [9, 9, 9], [3, 3, 3, 3, 9, 9]]
[[9, 9], [9, 9], [8, 9], [3, 3, 3, 3, 8], [9, 9]]
[[], [9, 9], [9, 9], [3, 3, 3, 3, 8], [8, 9], [9, 9]]
[[9], [3, 3, 9], [9], [8, 9], [9], [3, 3, 9], [8, 9]]
[[9], [8, 8], [3, 3, 9], [9], [3, 3, 9], [9], [9], [9]]
[[9], [9], [9], [3, 9], [8], [3, 3, 8], [9], [9], [3, 9]]
[[9], [9], [9], [9], [3, 3, 3, 3], [9], [8], [8], [9], [9]]
[[8], [9], [9], [9], [8], [9], [], [9], [9], [3, 3, 3, 3], [9]]
[[], [9], [3, 3, 3], [9], [3], [8], [9], [9], [9], [9], [8], [9]]
[[9], [9], [], [9], [8], [9], [3], [8], [], [9], [9], [3, 3, 3], [9]]
-EndAllocation

Instance: [[1], [90], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 9, 9], [4, 4, 8, 8, 9, 9, 9, 9]]
[[4, 4, 4], [4, 8, 8, 9, 9], [4, 9, 9, 9, 9]]
[[4], [9, 9, 9], [4, 4, 4, 9, 9], [4, 8, 8, 9]]
[[9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 4], [8, 8], [9], [9, 9], [9, 9]]
[[9], [8, 9], [4, 9], [9], [4, 4, 4, 4], [8, 9], [9]]
[[9], [4, 9], [9], [8, 8], [9], [9], [9], [4, 4, 4, 4]]
[[9], [8], [9], [8], [4, 4, 4], [4, 9], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [8], [4, 4], [9], [9], [9], [9], [8]]
[[8], [9], [], [9], [9], [9], [4, 4], [4, 4, 4], [9], [8], [9]]
[[], [4, 4], [4, 4], [9], [9], [4], [9], [9], [9], [8], [9], [8]]
[[9], [], [], [9], [4, 4], [9], [9], [8], [4], [9], [8], [9], [4, 4]]
-EndAllocation

Instance: [[1], [89], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10, 9], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 9], [7, 8, 9, 9, 9, 9, 9]]
[[4, 7], [4, 4, 4, 8, 9, 9], [4, 9, 9, 9, 9]]
[[4], [9, 9, 9], [4, 7, 9, 9], [4, 4, 4, 8, 9]]
[[9], [9, 9], [7, 8, 9], [9, 9], [4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 4], [7, 8], [9], [9, 9], [9, 9]]
[[9], [8, 9], [4, 9], [9], [4, 4, 4, 4], [7, 9], [9]]
[[9], [4, 9], [9], [8], [9], [9], [7, 9], [4, 4, 4, 4]]
[[9], [8], [9], [9], [4, 4, 4], [4, 9], [9], [4, 7], [9]]
[[9], [9], [4, 4, 4], [7], [4, 4], [9], [9], [9], [9], [8]]
[[], [9], [7], [9], [9], [9], [4, 4], [4, 4, 4], [9], [8], [9]]
[[], [4, 4], [4, 4], [9], [9], [4], [9], [9], [9], [7], [9], [8]]
[[9], [], [7], [9], [4, 4], [9], [9], [8], [4], [], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [88], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[3, 3, 3, 5, 8, 9], [3, 9, 9, 9, 9, 9, 9]]
[[3, 3, 3], [5, 8, 9, 9, 9], [3, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9], [5, 8, 9], [3, 3, 3, 3, 9]]
[[9, 9], [9, 9], [3, 3, 3, 3, 5], [9, 9], [8, 9]]
[[], [9, 9], [9, 9], [3, 3, 3, 3, 8], [5, 9], [9, 9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [5, 9], [9], [8, 9]]
[[9], [5, 9], [9], [3, 9], [3, 9], [3, 3, 8], [9], [9]]
[[9], [9], [5, 8], [9], [9], [9], [3, 3, 3, 3], [9], [9]]
[[9], [8], [9], [9], [9], [5], [9], [3, 3, 3, 3], [9], [9]]
[[9], [9], [9], [8], [3, 3, 3], [], [3, 5], [9], [9], [9], [9]]
[[9], [5], [3, 3, 3], [3], [9], [9], [9], [9], [9], [8], [], [9]]
[[], [3], [9], [9], [5], [9], [9], [9], [3, 3, 3], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [87], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[3, 3, 3, 3, 8, 9], [4, 9, 9, 9, 9, 9, 9]]
[[9, 9], [3, 3, 3, 3, 4, 8, 9], [9, 9, 9, 9]]
[[9, 9], [9, 9, 9], [4, 8, 9], [3, 3, 3, 3, 9]]
[[9], [9, 9], [3, 3, 3, 3, 9], [4, 9, 9], [8, 9]]
[[], [4, 9], [9, 9], [3, 3, 3, 3, 8], [9, 9], [9, 9]]
[[9], [3, 3, 9], [4, 9], [3, 3, 9], [9], [9], [8, 9]]
[[9], [3, 9], [9], [3, 9], [3, 9], [3, 8], [4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [8], [3, 3, 3, 3], [9], [9]]
[[9], [8], [9], [9], [9], [9], [9], [3, 3, 4], [9], [3, 3]]
[[9], [9], [9], [8], [3, 3, 3], [9], [3], [4], [9], [9], [9]]
[[9], [], [3, 3, 3], [3], [9], [9], [9], [9], [9], [8], [4], [9]]
[[], [3], [9], [9], [9], [9], [4], [9], [3, 3, 3], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [86], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10, 10, 9], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[3, 3, 3, 3, 8, 9], [3, 9, 9, 9, 9, 9, 9]]
[[3, 3, 3, 3], [3, 8, 9, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [8, 9, 9], [3, 3, 3, 3, 3, 9]]
[[9], [9, 9], [3, 3, 3, 3, 3, 9], [9, 9], [8, 9]]
[[], [9, 9], [9, 9], [3, 3, 3, 3, 8], [9, 9], [3, 9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [8, 9], [9], [3, 9]]
[[9], [3, 9], [9], [3, 9], [3, 9], [3, 3, 8], [9], [9]]
[[8], [9], [3, 9], [9], [9], [9], [3, 3, 3, 3], [9], [9]]
[[], [8], [9], [9], [9], [9], [9], [3, 3, 3, 3], [9], [3, 9]]
[[9], [9], [9], [8], [3, 3, 3], [], [3, 3], [9], [9], [9], [9]]
[[9], [], [3, 3, 3], [3, 3], [9], [9], [9], [9], [9], [8], [], [9]]
[[], [3, 3], [9], [9], [9], [9], [], [9], [3, 3, 3], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [85], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,13. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10, 10, 9], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,13:
-StartAllocation
[[3, 3, 3, 3, 8, 8], [3, 9, 9, 9, 9, 9, 9]]
[[3, 3, 3, 3], [3, 8, 8, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [8, 8, 9], [3, 3, 3, 3, 3, 9]]
[[9, 9], [9, 9], [3, 3, 3, 3, 3], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [3, 8, 8], [9, 9], [3, 3, 3, 3]]
[[9], [9], [9], [3, 3, 3, 3, 3], [8, 9], [9], [8, 9]]
[[9], [3, 9], [9], [9], [3, 3, 8], [3, 3, 8], [9], [9]]
[[8], [9], [3, 9], [9], [9], [9], [3, 3, 3, 3], [8], [9]]
[[], [8], [9], [9], [9], [8], [9], [3, 3, 3, 3], [9], [3, 9]]
[[9], [9], [9], [8], [3, 3, 3], [], [3, 3], [9], [9], [8], [9]]
[[9], [], [3, 3, 3], [3, 3], [9], [9], [9], [], [9], [8], [8], [9]]
[[], [3, 3, 3], [9], [], [9], [9], [3, 3], [9], [8], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [98], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 8, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 9, 9], [8, 8, 8, 9, 9]]
[[9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [8, 8, 8, 9]]
[[9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [9, 9]]
[[9], [8, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [4, 8], [9, 9]]
[[], [8, 8], [4, 4, 9], [4, 4, 9], [9], [4, 9], [8, 9], [9]]
[[9], [9], [4, 8], [4, 9], [9], [4, 9], [4, 8], [8], [4, 9]]
[[9], [9], [4, 9], [8], [9], [8], [4, 4, 4], [9], [8], [4, 9]]
[[9], [8], [8], [8], [9], [4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [], [9], [9], [8], [4, 4], [9], [8], [8], [4, 4, 4]]
[[9], [4, 4], [9], [4, 4], [], [9], [4], [9], [9], [9], [8], [8], [8]]
[[9], [8], [4, 4], [8], [9], [9], [4, 4], [9], [4], [8], [], [9], [], [9]]
-EndAllocation

Instance: [[1], [97], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10, 9], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 5, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 5, 9, 9], [9, 9, 9, 9]]
[[9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 5], [9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [5, 9, 9]]
[[], [9, 9], [4, 9, 9], [4, 4, 4, 4, 5], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [5, 9], [9, 9], [4, 9], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [5, 9], [9], [4, 9]]
[[9], [5, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [5], [4, 9]]
[[9], [9], [5], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [5], [4, 4], [9], [], [9], [4, 4, 4]]
[[9], [], [9], [4, 4], [9], [9], [9], [9], [9], [5], [9], [4], [4, 4]]
[[9], [9], [4, 4], [9], [9], [5], [4, 4], [9], [4], [9], [], [9], [], [9]]
-EndAllocation

Instance: [[1], [96], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10, 10, 9], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8]]
[[4, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8], [8, 8]]
[[4, 9, 9, 9], [4, 8, 8, 9], [4, 4, 4, 8, 8], [8]]
[[8, 9, 9], [8, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4], []]
[[4, 8, 8], [4, 8, 8], [4, 8, 9], [4, 4, 9], [9, 9], []]
[[8, 8], [8, 8], [8, 9], [9, 9], [4, 4, 9], [4, 4, 4], []]
[[4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [8, 8], [8, 8], []]
[[4, 8], [4, 8], [4, 8], [4, 8], [4, 8], [9], [9], [9], [9]]
[[4, 8], [4, 8], [4, 8], [4, 8], [9], [9], [9], [9], [], [4, 8]]
[[4, 8], [4, 8], [4, 8], [9], [9], [9], [9], [], [], [4, 8], [4, 8]]
[[8], [8], [9], [9], [9], [9], [4, 4], [4, 4], [4], [8], [8], [8]]
[[8], [9], [9], [9], [9], [4, 4], [4, 4], [4], [], [8], [8], [8], [8]]
[[8], [9], [9], [9], [4, 4], [4, 4], [4], [], [], [8], [8], [8], [8], [9]]
-EndAllocation

Instance: [[1], [95], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9]; Results for m' = 2,...,14. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 5, 5, 6, 8, 9, 9], [7, 7, 7, 7, 7, 7, 7]]
[[4, 5, 5, 7, 7, 8], [9, 9], [6, 7, 7, 7, 7, 7]]
[[5, 5, 7, 7, 7], [4, 6, 9, 9], [8], [7, 7, 7, 7]]
[[4, 5, 5, 9], [7, 7, 7], [7, 7], [7, 7, 9], [6, 8]]
[[4, 7, 7], [5, 5, 7], [7, 7, 7], [8, 9], [7], [6, 9]]
[[4, 7, 7], [5, 5, 7], [8], [7, 7], [7, 7], [6], [9, 9]]
[[5, 9], [6, 7], [7, 7], [7, 7], [7, 7], [], [5, 9], [4, 8]]
[[5, 5], [7, 7], [6, 8], [7, 7], [], [9], [9], [4, 7], [7, 7]]
[[7], [6, 7], [9], [7], [7], [7], [5, 7], [5, 7], [8], [4, 9]]
[[4, 8], [9], [7], [6], [7], [7], [9], [5, 7], [7], [5, 7], [7]]
[[9], [7], [7], [7], [7], [9], [4, 6], [7], [8], [7], [5, 5], [7]]
[[4, 6], [5, 5], [], [9], [7], [7], [9], [7], [8], [7], [7], [7], [7]]
[[6], [7], [7], [], [8], [7], [4, 5], [9], [9], [7], [7], [5], [7], [7]]
-EndAllocation

Instance: [[1], [94], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8], [8, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4], [4, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 8, 8]]
[[8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9]]
[[], [9], [9, 9], [4, 4, 9], [4, 4, 4, 4], [8, 8], [9, 9]]
[[9], [8, 8], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9]]
[[9], [8], [9], [4, 8], [9], [4, 9], [4, 9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [9], [9], [8]]
[[9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [8], [8]]
[[9], [9], [], [9], [9], [4, 4], [8], [4, 4], [9], [9], [4, 4], [8]]
[[9], [8], [4, 4], [9], [8], [9], [9], [4, 4], [], [], [9], [9], [4, 4]]
[[9], [], [8], [8], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [93], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 7], [8, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4], [4, 9, 9, 9, 9], [4, 4, 7, 8, 9, 9]]
[[9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8]]
[[8], [9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 9], [7, 9]]
[[], [9], [7, 9], [4, 4, 9], [4, 4, 4, 4], [8, 9], [9, 9]]
[[9], [7, 8], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9]]
[[9], [8], [9], [4, 9], [9], [4, 9], [4, 9], [7], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7], [9], [9], [8]]
[[7], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [8], [9]]
[[9], [9], [7], [9], [9], [4, 4], [8], [4, 4], [9], [9], [4, 4], []]
[[9], [8], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [7], [9], [4, 4]]
[[9], [], [8], [], [9], [7], [9], [4, 4], [9], [4, 4], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [92], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,14. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10, 10, 9], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 9], [5, 9, 9, 9, 9, 9, 9]]
[[4, 4, 5], [4, 4, 4, 9, 9, 9], [4, 9, 9, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 5]]
[[9], [5, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[9], [5, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 9]]
[[], [9], [9, 9], [4, 4, 9], [4, 4, 4, 4], [9, 9], [5, 9]]
[[9], [5, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9]]
[[9], [5, 9], [9], [4, 4], [9], [4, 9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [5], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [5], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [], [9], [9], [4], [4, 4], [4, 5], [9], [9], [4, 4], [9]]
[[9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [9], [4], [4, 5]]
[[9], [5], [9], [], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [105], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10, 9], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[6, 6, 6, 6, 8, 8, 9, 9, 9], [5, 5, 7, 7, 7, 7]]
[[5, 5, 6, 9, 9, 9], [8, 8], [6, 6, 6, 7, 7, 7, 7]]
[[8, 9, 9, 9], [7, 7, 7, 7, 8], [5, 5, 6, 6, 6, 6], []]
[[6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [5, 5], [8, 8]]
[[5, 9, 9], [8, 8], [9], [7, 7, 7], [6, 6, 6, 6], [5, 7]]
[[9, 9], [8, 8], [5, 5, 6], [7, 7], [9], [7, 7], [6, 6, 6]]
[[8, 8], [7, 7], [6, 6, 6], [6, 9], [9, 9], [5, 5], [7, 7], []]
[[7, 7], [6, 6], [], [7, 9], [8, 8], [6, 9], [7, 9], [], [5, 5, 6]]
[[7, 7], [5, 9], [6, 6], [7, 7], [], [9], [6, 8], [9], [5], [6, 8]]
[[6, 7], [8], [8], [9], [6, 7], [7], [6, 6], [7], [5, 5], [9], [9]]
[[6, 6], [7], [8], [7], [9], [8], [6, 6], [5, 7], [5, 7], [9], [9], []]
[[6, 6], [6, 6], [], [5, 5], [9], [9], [7], [9], [8], [7], [7], [7], [8]]
[[7], [8], [5, 5], [6], [7], [9], [9], [7], [8], [7], [6], [6], [6], [9]]
[[9], [5], [7], [9], [7], [8], [6], [6], [5], [6], [9], [7], [6], [8], [7]]
-EndAllocation

Instance: [[1], [104], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[7, 7, 7, 7, 7, 7], [2, 3, 6, 6, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [2, 3, 6, 6], [7, 7, 7, 7, 7, 7]]
[[2, 6, 6, 7, 7], [9, 9], [3, 9, 9, 9], [7, 7, 7, 7]]
[[2, 3, 7, 7, 9], [], [7, 7, 7, 7], [9, 9, 9], [6, 6, 9]]
[[2, 3, 9, 9], [], [7, 7, 7], [7, 7, 7], [9, 9], [6, 6, 9]]
[[2, 9, 9], [3, 9], [7, 7], [7, 7], [7, 7], [9, 9], [6, 6]]
[[3, 7, 7], [2, 7, 7], [9], [7, 7], [9], [9], [6, 9], [6, 9]]
[[2, 3, 9], [7, 7], [7, 7], [7, 7], [9], [9], [9], [9], [6, 6]]
[[2, 3, 9], [7, 7], [7, 7], [7, 7], [], [9], [9], [9], [9], [6, 6]]
[[2, 9], [7], [7], [7], [9], [9], [9], [7], [3, 9], [6, 7], [6, 7]]
[[2, 3, 7], [7], [7], [7], [9], [7], [9], [9], [9], [9], [7], [6, 6]]
[[9], [9], [3, 7], [2, 7], [7], [7], [7], [9], [6], [6], [7], [9], [9]]
[[2, 6], [6], [7], [7], [9], [9], [7], [7], [7], [7], [3], [9], [9], [9]]
[[9], [9], [3, 6], [2, 7], [7], [7], [7], [7], [9], [7], [], [], [6], [9], [9]]
-EndAllocation

Instance: [[1], [103], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[1, 3, 7, 7, 7, 7, 7, 7], [6, 6, 9, 9, 9, 9, 9]]
[[1, 3, 7, 7, 9, 9, 9], [9, 9], [6, 6, 7, 7, 7, 7]]
[[1, 3, 7, 7, 7, 7], [9, 9], [9, 9, 9], [6, 6, 7, 7]]
[[1, 3, 7, 7, 7], [7, 7, 7], [9], [9, 9, 9], [6, 6, 9]]
[[1, 3, 6, 6], [7, 7, 7], [7, 7, 7], [9], [9, 9], [9, 9]]
[[1, 3, 7, 7], [9, 9], [7, 7], [9], [7, 7], [9, 9], [6, 6]]
[[1, 3, 9], [7, 7], [7, 9], [7, 7], [7, 9], [6, 6], [9], [9]]
[[1, 3, 9], [], [7, 7], [7, 7], [7, 7], [9], [9], [6, 9], [6, 9]]
[[1, 3, 6], [7, 7], [7, 7], [7, 7], [9], [9], [9], [9], [9], [6]]
[[1, 3, 7], [9], [6, 7], [9], [7], [7], [7], [9], [9], [6, 7], [9]]
[[1, 9], [6, 6], [7], [9], [7], [7], [9], [9], [3, 9], [7], [7], [7]]
[[3, 7], [7], [7], [9], [6], [9], [7], [9], [7], [6], [7], [9], [1, 9]]
[[1, 3, 6], [7], [6], [], [7], [9], [7], [7], [7], [7], [9], [9], [9], [9]]
[[1, 6], [], [6], [7], [7], [7], [7], [7], [7], [9], [9], [9], [9], [9], [3]]
-EndAllocation

Instance: [[1], [102], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 6, 8, 8, 9], [2, 2, 9, 9, 9, 9, 9, 9, 9]]
[[6, 9], [2, 2, 2, 2, 8, 8, 9, 9], [9, 9, 9, 9, 9]]
[[9], [2, 2, 2, 2, 8, 8, 9], [6, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [6, 9, 9], [9, 9, 9], [2, 2, 2, 2, 8, 8]]
[[9], [9, 9], [6, 9], [2, 2, 2, 8, 8], [2, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [2, 2, 2, 2, 6]]
[[9], [9], [2, 2, 2, 2, 9], [8, 9], [9], [6, 9], [8, 9], [9]]
[[9], [2, 9], [2, 2, 2, 9], [6, 9], [9], [8, 8], [9], [9], [9]]
[[9], [9], [9], [8], [9], [9], [2, 2, 9], [2, 2, 9], [9], [6, 8]]
[[9], [9], [2, 2, 8], [9], [2, 2, 9], [9], [9], [9], [6], [8], [9]]
[[9], [6], [9], [9], [2, 2, 2, 2], [9], [9], [9], [9], [8], [9], [8]]
[[9], [9], [9], [9], [2, 2, 2, 2], [8], [], [9], [8], [9], [9], [6], [9]]
[[9], [9], [8], [9], [9], [9], [], [2, 2, 2, 2], [6], [9], [9], [], [8], [9]]
[[], [8], [9], [9], [9], [9], [9], [9], [6], [9], [], [2, 2, 2, 2], [], [9], [8]]
-EndAllocation

Instance: [[1], [101], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 6, 8, 8, 8], [2, 2, 9, 9, 9, 9, 9, 9, 9]]
[[6, 9], [2, 2, 2, 2, 8, 8, 8, 9], [9, 9, 9, 9, 9]]
[[9], [2, 2, 2, 2, 8, 8, 8], [6, 9, 9, 9], [9, 9, 9]]
[[], [2, 2, 6, 9, 9], [9, 9], [9, 9, 9], [2, 2, 8, 8, 8]]
[[9], [9, 9], [6, 8], [2, 2, 2, 8, 8], [2, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 8], [8, 9], [9, 9], [2, 2, 2, 2, 6]]
[[9], [9], [2, 2, 2, 2, 9], [8, 9], [9], [6, 9], [8, 8], [9]]
[[9], [9], [9], [6, 9], [9], [8, 8], [9], [9], [2, 2, 2, 2, 8]]
[[9], [9], [8], [8], [9], [9], [2, 2, 9], [2, 2, 9], [9], [6, 8]]
[[8], [9], [2, 2, 8], [9], [2, 2, 9], [9], [9], [9], [8], [6], [9]]
[[9], [6], [9], [9], [2, 2, 2, 2], [8], [9], [9], [9], [8], [9], [8]]
[[9], [8], [9], [9], [2, 2, 2, 2], [8], [], [9], [8], [9], [9], [6], [9]]
[[9], [9], [8], [9], [9], [9], [], [2, 2, 2, 2], [6], [8], [9], [], [8], [9]]
[[], [8], [], [9], [9], [9], [9], [9], [6], [9], [], [2, 2, 2, 2], [8], [9], [8]]
-EndAllocation

Instance: [[1], [100], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10, 10, 9], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[9, 9, 9, 9], [3, 3, 3, 3, 3, 5, 8, 9, 9, 9, 9]]
[[5, 8], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9, 9]]
[[9], [3, 3, 3, 3, 3, 9, 9], [8, 9, 9], [5, 9, 9, 9]]
[[9], [3, 3, 3, 3, 3, 9], [5, 9, 9], [8, 9, 9], [9, 9]]
[[9, 9], [8, 9], [3, 3, 3, 3, 3], [9, 9], [9, 9], [5, 9]]
[[], [9, 9], [9, 9], [9, 9], [8], [3, 3, 3, 3, 3, 5], [9, 9]]
[[9], [3, 3, 9], [9], [8, 9], [3, 5, 9], [3, 3, 9], [9], [9]]
[[9], [3, 3, 8], [9], [5, 9], [9], [3, 9], [9], [9], [3, 3, 9]]
[[9], [3, 3, 3, 3], [3, 9], [9], [9], [9], [9], [9], [5, 8], [9]]
[[9], [8], [3, 3, 3, 3], [9], [9], [3, 9], [9], [5], [9], [9], [9]]
[[8], [3, 3, 3, 3], [], [3, 9], [9], [9], [9], [9], [5], [9], [9], [9]]
[[9], [9], [3], [9], [3, 5], [9], [9], [9], [], [9], [3, 3, 3], [9], [8]]
[[], [9], [9], [8], [3, 3, 3], [9], [9], [9], [5], [3, 3], [9], [], [9], [9]]
[[9], [9], [5], [9], [3, 3, 3], [9], [9], [3, 3], [9], [], [], [9], [9], [], [8]]
-EndAllocation

Instance: [[1], [99], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,15. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10, 10, 9], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8]]
[[9], [4, 4, 4, 4, 4, 4], [8, 9, 9], [4, 9, 9], [9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [4, 4, 9], [9, 9]]
[[], [9], [4, 4, 4, 4, 4], [4, 4, 8], [9, 9], [9, 9], [9, 9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 4, 9], [8, 9]]
[[9], [8], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [8], [9], [9]]
[[9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [4], [4, 4, 4], [9]]
[[8], [9], [9], [9], [9], [9], [9], [], [4], [9], [4, 4, 4], [4, 4, 4]]
[[9], [9], [9], [4, 4], [4], [9], [9], [9], [], [4, 4], [9], [4, 4], [8]]
[[9], [4, 4], [9], [4], [9], [4, 4], [], [], [9], [8], [9], [4, 4], [9], [9]]
[[], [4, 4], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [4], [8], [9], [9]]
-EndAllocation

Instance: [[1], [112], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 2, 4, 4, 4, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[1, 2, 4, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9]]
[[1, 2, 8, 8, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9], [9]]
[[1, 2, 8, 8, 9], [4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9], []]
[[1, 2, 4, 8, 8], [4, 9, 9], [4, 9, 9], [9, 9], [9, 9], [9]]
[[1, 2, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], []]
[[1, 2, 4, 8], [8, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [9], []]
[[1, 2, 4, 9], [8, 9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9]]
[[1, 2, 4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [8, 8], [4, 9]]
[[2, 4, 8], [1, 4, 8], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[1, 2, 8], [4, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], []]
[[1, 2, 8], [4, 8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], []]
[[1, 2, 4], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], []]
[[1, 2, 4], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], []]
[[1, 2, 4], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [], []]
-EndAllocation

Instance: [[1], [111], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 3, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10, 10, 9], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 2, 3, 4, 4, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[1, 2, 3, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9]]
[[1, 2, 3, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9]]
[[1, 2, 3, 4, 4, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9]]
[[1, 2, 3, 4, 4, 8], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[1, 2, 3, 4, 8], [4, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[1, 2, 3, 4, 8], [4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], []]
[[1, 2, 3, 9], [8, 9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9]]
[[1, 2, 3, 9], [4, 9], [9], [9], [9], [9], [9], [9], [8, 8], [4, 9]]
[[2, 4, 8], [1, 4, 8], [3, 9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[1, 2, 3, 4], [4, 8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[1, 2, 3, 4], [4, 8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], []]
[[1, 2, 3, 4], [4], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], []]
[[1, 2, 3, 4], [4], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], []]
[[1, 2, 3], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [], []]
-EndAllocation

Instance: [[1], [110], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 7, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 8, 8, 9], [7, 9, 9, 9, 9]]
[[4], [9, 9, 9, 9], [4, 7, 8, 8, 9], [4, 4, 4, 4, 9, 9]]
[[9], [7, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [7, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 7, 8], [4, 4, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9]]
[[], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 9], [7, 9], [9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [8, 8], [4, 4, 9], [7, 9], [9]]
[[9], [7], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 8]]
[[9], [9], [4, 9], [4, 4, 4], [9], [7], [8], [4, 9], [9], [8], [4, 9]]
[[9], [9], [9], [9], [8], [9], [4, 4], [9], [4, 4, 4], [9], [4, 7], [8]]
[[9], [], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [7]]
[[9], [4, 4], [4, 4], [8], [9], [9], [4, 4], [], [9], [8], [9], [7], [9], [9]]
[[9], [], [9], [9], [9], [8], [9], [4, 4], [7], [9], [], [4, 4], [8], [9], [4, 4]]
[[], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [7], [], [9], [8], [9], [9], [], [8]]
-EndAllocation

Instance: [[1], [109], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10, 10, 9], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [4], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9]]
[[], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [9], [4, 4], [4], [9], [], [4, 4], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [], [4], [9], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [108], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9]]
[[4], [9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [8, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 4, 8], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 8], [4, 9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [8], [9], [4], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9]]
[[], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4], [9], [8], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [8], [9], [4, 4], [4], [9], [], [4, 4], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [], [4], [8], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [107], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9]]
[[4], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [8, 8], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8], [4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9]]
[[9], [4, 4, 4, 4], [4, 9], [9], [9], [8, 8], [4, 9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 8], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [9], [8], [4, 9]]
[[9], [9], [9], [9], [8], [], [4, 8], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], []]
[[], [4, 4], [4, 4], [8], [9], [9], [4, 4], [4], [9], [8], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [8], [9], [4, 4], [4], [9], [], [4, 4], [8], [9], [4, 4]]
[[], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [8], [], [4], [8], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [106], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,16. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 7, 8], [4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9], [7, 9, 9, 9, 9]]
[[4], [9, 9, 9, 9], [7, 8, 9, 9], [4, 4, 4, 4, 4, 4, 9]]
[[], [7, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 8, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 7, 8], [4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [7, 9], [9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [4, 4, 8], [4, 9], [7, 9], [9]]
[[9], [7], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 8], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [8], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [8], [], [4, 4, 4], [9], [4, 4, 4], [9], [4, 7], [9]]
[[9], [9], [4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [7], []]
[[], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4], [9], [8], [9], [7], [9], [9]]
[[9], [4], [9], [9], [], [8], [9], [4, 4], [7], [9], [], [4, 4], [9], [9], [4, 4]]
[[], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [7], [], [4], [8], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [119], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 9, 9, 9, 9, 9], [5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8]]
[[2, 5, 5, 6, 8], [6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9]]
[[2, 7, 9, 9, 9], [7, 7, 7, 7, 7], [8], [5, 5, 6, 6, 9, 9]]
[[2, 6, 6, 7, 7], [5, 5], [9, 9, 9], [7, 7, 7, 7], [8, 9, 9]]
[[2, 7, 7, 7], [9, 9], [7, 7, 7], [9, 9], [6, 6, 8], [5, 5, 9]]
[[2, 7, 7], [7, 7, 7], [7, 8], [9], [5, 5, 6, 6], [9, 9], [9, 9]]
[[2, 6, 9], [8], [7, 7], [7, 7], [6, 7, 7], [5, 5], [9, 9], [9, 9]]
[[2, 6, 6], [], [7, 7], [7, 7], [7, 7], [8, 9], [9, 9], [5, 5], [9, 9]]
[[2, 9], [7, 7], [7, 7], [7, 7], [5, 9], [9], [8], [9], [5, 9], [6, 6]]
[[2, 9], [6, 6], [5, 7], [7, 7], [9], [9], [8], [7, 7], [5, 9], [9], [7]]
[[2, 7], [5, 7], [6, 7], [9], [9], [9], [9], [9], [7], [8], [5, 7], [6, 7]]
[[2, 5, 5], [8], [6, 7], [6, 7], [7], [9], [7], [9], [7], [7], [9], [9], [9]]
[[5, 7], [7], [9], [6, 6], [7], [], [7], [8], [7], [9], [9], [5, 7], [9], [2, 9]]
[[2, 6], [8], [9], [7], [7], [6], [7], [7], [9], [7], [9], [9], [5, 5], [7], [9]]
[[9], [7], [9], [7], [7], [7], [7], [6], [7], [6], [], [9], [5, 5], [9], [9], [2, 8]]
[[2, 5], [7], [7], [9], [7], [7], [6], [], [7], [7], [9], [5], [6], [9], [9], [8], [9]]
-EndAllocation

Instance: [[1], [118], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10, 10, 9], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9]]
[[9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4]]
[[], [4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [4, 9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], []]
[[9], [9], [9], [9], [9], [], [9], [4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], []]
[[9], [9], [9], [4, 4], [4, 4], [4], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], []]
[[9], [4], [4, 4], [9], [], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [117], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9]]
[[], [4, 4, 4, 4, 4, 8, 9], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9, 9], [4, 9, 9]]
[[9], [4, 4, 4, 4], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9], [9, 9], [8, 9], [4, 4, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [8, 9], [4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [8], [4, 9]]
[[9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [4, 4, 4], [4], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [], [9], [4], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [4], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [4], [9], [4, 4], [9], [], [9], [], [9]]
[[9], [9], [], [4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [8], []]
-EndAllocation

Instance: [[1], [116], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[4, 4], [4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9], [4, 9, 9]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9], [9, 9], [8, 8], [4, 4, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [8, 8], [4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [8, 8], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9]]
[[9], [4, 9], [8], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [8], [4, 9]]
[[9], [9], [8], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [4, 4, 4], [4, 8], [], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[8], [9], [9], [], [9], [4], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [4], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [4], [9], [4, 4], [9], [], [9], [], [8]]
[[9], [9], [], [4], [9], [4, 4], [9], [8], [4, 4], [9], [4, 4], [9], [9], [], [9], [8], []]
-EndAllocation

Instance: [[1], [115], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8, 8], [4, 8, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[4, 4], [4, 4, 4, 8, 8, 8], [4, 4, 9, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [4, 9, 9]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [8, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9], [9, 9], [8, 8], [4, 4, 9], [8, 9], [9, 9]]
[[9], [8, 9], [4, 8], [9], [8, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9]]
[[9], [8], [4, 9], [9], [9], [8, 8], [4, 4, 4, 4], [4, 9], [9], [4, 9]]
[[9], [9], [4, 8], [9], [8], [9], [4, 4, 4], [4, 9], [4, 9], [4, 8], [9]]
[[9], [9], [8], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [8]]
[[9], [9], [4, 4, 4], [4, 8], [8], [8], [9], [9], [4, 4, 4], [9], [9], [], [9]]
[[8], [9], [9], [], [9], [4, 8], [9], [], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[8], [8], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [8], [4], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [], [9], [4, 4], [4], [8], [9], [], [8]]
[[9], [9], [], [4], [9], [4, 4], [9], [8], [4, 4], [9], [4, 4], [9], [9], [8], [], [8], []]
-EndAllocation

Instance: [[1], [114], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 7, 7, 8, 8, 9, 9], [3, 3, 3, 3, 6, 7, 8, 9, 9, 9]]
[[3, 3, 6, 8], [3, 6, 7, 7, 7, 8, 9], [3, 8, 9, 9, 9, 9]]
[[9, 9], [3, 3, 3, 3, 6, 9, 9], [7, 7, 8, 8, 8], [6, 7, 9]]
[[9], [3, 3, 3, 3, 7, 7], [6, 9, 9], [8, 9, 9], [6, 7, 8, 8]]
[[], [3, 3, 3, 3, 7], [7, 9, 9], [6, 8, 9], [7, 8, 9], [6, 8, 9]]
[[], [8, 9], [6, 9], [3, 3, 3, 3, 8], [7, 7, 8], [6, 7, 9], [9, 9]]
[[9], [8, 9], [7, 9], [7, 9], [3, 3, 3, 3], [6, 8], [6, 7], [8, 9]]
[[9], [7, 9], [3, 9], [3, 8], [8, 9], [3, 6, 7], [6, 8], [7], [3, 9]]
[[9], [3, 3, 3, 3], [8], [9], [7, 9], [6], [9], [6, 9], [7, 8], [7, 8]]
[[9], [6, 8], [9], [9], [7, 7], [7], [9], [6, 8], [3, 9], [8], [3, 3, 3]]
[[8], [6, 7], [7], [9], [6, 7], [9], [9], [9], [3, 3, 3], [8], [3, 8], [9]]
[[9], [3, 9], [7], [8], [3, 7], [3, 6], [8], [6], [8], [9], [9], [9], [3, 7]]
[[7], [7], [9], [3, 6], [9], [8], [9], [8], [7], [6], [8], [3, 3, 3], [9], [9]]
[[8], [3, 7], [3], [9], [6], [6], [8], [8], [9], [3, 7], [9], [3], [7], [9], [9]]
[[], [3, 6], [3, 3], [6], [9], [9], [9], [9], [7], [9], [8], [8], [], [8], [7], [3, 7]]
[[7], [3], [9], [7], [3], [8], [3], [9], [6], [9], [8], [7], [9], [6], [9], [8], [3]]
-EndAllocation

Instance: [[1], [113], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,17. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 2, 2, 6, 8, 8, 9], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [2, 2, 2, 2, 6, 9, 9, 9, 9], [2, 8, 8, 9, 9, 9]]
[[], [2, 2, 2, 6, 8, 8, 9], [2, 9, 9, 9, 9], [2, 9, 9, 9, 9]]
[[9], [2, 2, 2, 2, 9, 9], [2, 9, 9, 9], [9, 9, 9], [6, 8, 8]]
[[9], [9, 9], [9, 9], [6, 9, 9], [2, 2, 2, 2, 8, 8], [2, 9, 9]]
[[9], [6, 9], [8, 8], [9, 9], [2, 2, 9, 9], [2, 2, 2, 9], [9, 9]]
[[], [9, 9], [9], [2, 2, 2, 2, 2, 6], [8, 8], [9, 9], [9, 9], [9, 9]]
[[9], [8, 9], [8, 9], [2, 9], [6, 9], [9], [9], [9], [2, 2, 2, 2, 9]]
[[9], [8, 8], [2, 2, 2, 9], [9], [6, 9], [9], [9], [2, 2, 9], [9], [9]]
[[9], [9], [2, 2, 9], [9], [6, 8], [9], [2, 2, 9], [9], [2, 9], [8], [9]]
[[9], [9], [9], [9], [9], [2, 2, 2, 6], [9], [9], [2, 2, 8], [9], [8], [9]]
[[9], [9], [6], [8], [2, 2, 2, 2, 2], [8], [9], [9], [9], [9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [2, 2, 2, 2, 2], [9], [8], [9], [6], [], [9], [9]]
[[], [8], [9], [6], [9], [], [9], [9], [2, 2, 2, 2, 2], [9], [9], [8], [9], [9], [9]]
[[9], [9], [9], [2, 2, 2, 2], [2, 8], [9], [9], [9], [], [6], [], [9], [9], [9], [], [8]]
[[9], [9], [], [2, 2, 2, 2], [9], [9], [6], [2], [8], [9], [], [9], [9], [9], [9], [8], []]
-EndAllocation

Instance: [[1], [126], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 8, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9], [9, 9, 9, 9]]
[[9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 8, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [4, 4, 9]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4], [8, 9], [4, 4, 4], [9, 9], [9, 9]]
[[9], [8, 9], [9], [9], [4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 8], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [8], [4, 9], [4, 9], [9], [9]]
[[8], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4], [9], [9], [8], [9], [9]]
[[9], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [4], [9]]
[[9], [9], [4, 4], [4], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [4, 4], [8], [9]]
[[9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [4], [9], [9], [8], []]
[[], [4, 4], [9], [9], [4, 4], [], [4], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [8], [9]]
-EndAllocation

Instance: [[1], [125], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 7], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [7, 9, 9, 9], [9, 9, 9, 9]]
[[9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 7]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4], [7, 9], [4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [4, 9], [9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [7, 9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [7], [9], [4, 9], [4, 9], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [7]]
[[9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [7], [9], [4], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [7], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4], [9]]
[[9], [9], [4, 4], [4], [7], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9]]
[[9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [7], [4], []]
[[], [4, 4], [9], [9], [4], [], [], [9], [4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [124], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 8, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 8, 8, 8, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 9], [9, 9, 9, 9]]
[[9, 9], [8, 8, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [8, 8], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 9]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4], [8, 8], [4, 4, 4], [9, 9], [8, 9]]
[[9], [8, 9], [9], [8, 9], [9], [4, 4, 4, 4], [9], [9], [8, 9], [4, 4, 4]]
[[9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [8, 8], [8], [9]]
[[9], [4, 8], [4, 9], [9], [4, 8], [4, 4, 4], [9], [8], [4, 9], [9], [9], [9]]
[[8], [4, 4, 4], [4, 4, 4], [9], [4, 9], [8], [9], [9], [9], [9], [9], [8], [9]]
[[9], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [8], [8], [9], [9]]
[[9], [4, 4, 4], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [9], [8], [8], [4], [9]]
[[9], [8], [4, 4], [4], [9], [9], [9], [8], [], [9], [4, 4], [9], [9], [4, 4], [8], [9]]
[[9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [8], [4], [9], [], [8], [8]]
[[], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [8], [9], [9], [8], [9], [9], [], [4], [8], [9]]
-EndAllocation

Instance: [[1], [123], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 7, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 7], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 9], [7, 8, 8, 9, 9], [9, 9, 9, 9]]
[[9], [7, 8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [7, 8, 9], [9, 9, 9], [8, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 8, 8]]
[[9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 7]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4], [7, 8], [4, 4, 4], [9, 9], [8, 9]]
[[9], [8, 9], [9], [9], [7, 9], [4, 4, 4, 4], [9], [9], [8, 9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4, 4], [8, 8], [7, 9]]
[[9], [8], [4, 9], [9], [4, 9], [4, 4, 4], [8], [7], [4, 9], [4, 9], [9], [9]]
[[8], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [8], [7]]
[[9], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [7], [9], [], [9], [9], [8], [9], [9]]
[[9], [4, 4, 4], [9], [7], [], [9], [4, 4, 4], [9], [9], [9], [9], [8], [8], [4], [9]]
[[9], [8], [4, 4], [4], [7], [9], [9], [9], [], [9], [4, 4], [9], [9], [4, 4], [8], [9]]
[[9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [8], [4], [9], [7], [8], []]
[[], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [8], [7], [9], [4], [9], [9], [], [9], [8], [9]]
-EndAllocation

Instance: [[1], [122], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 2, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 2, 2, 2, 6, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[2, 2, 2, 9], [9, 9, 9, 9, 9, 9], [2, 2, 6, 8, 8, 9, 9, 9]]
[[9], [9, 9, 9, 9], [2, 2, 2, 2, 2, 6, 8, 8, 9], [9, 9, 9, 9]]
[[9], [2, 2, 2, 2, 2, 6, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [2, 2, 2, 2, 2, 9, 9], [9, 9, 9], [6, 9], [8, 8, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [2, 2, 2, 2, 2, 6], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [2, 2, 2, 2, 2, 9], [9, 9], [6, 9], [8, 8], [9, 9]]
[[], [2, 2, 2, 2, 2], [9, 9], [9], [9, 9], [8, 8], [6, 9], [9, 9], [9, 9]]
[[9], [8, 9], [9], [9], [6, 9], [2, 2, 2, 2, 9], [2, 9], [9], [8, 9], [9]]
[[9], [2, 2, 2, 9], [9], [9], [9], [9], [6, 9], [9], [9], [8, 8], [2, 2, 9]]
[[9], [9], [9], [9], [9], [9], [6, 8], [2, 8], [9], [9], [2, 2, 9], [2, 2, 9]]
[[8], [9], [9], [9], [2, 2, 9], [9], [2, 9], [6], [9], [2, 2, 9], [9], [8], [9]]
[[9], [8], [9], [9], [9], [2, 2, 2, 2, 2], [9], [6], [9], [9], [9], [8], [9], [9]]
[[9], [9], [9], [8], [], [2, 2, 2, 2, 2], [9], [9], [9], [9], [9], [6], [8], [9], [9]]
[[9], [8], [9], [2, 2, 2, 2, 2], [9], [9], [9], [], [], [9], [9], [9], [9], [8], [6], [9]]
[[9], [9], [9], [9], [6], [9], [2, 2, 2, 2, 2], [9], [9], [9], [9], [8], [], [9], [], [8], []]
[[9], [], [9], [6], [], [], [9], [9], [8], [9], [9], [8], [9], [2], [9], [9], [2, 2, 2, 2], [9]]
-EndAllocation

Instance: [[1], [121], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10, 10, 9], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 6, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [3, 3, 3, 3, 3, 3, 6, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[9], [6, 8, 8, 9, 9], [3, 3, 3, 3, 3, 3, 9, 9], [9, 9, 9, 9]]
[[9], [6, 9, 9, 9], [9, 9, 9], [8, 8, 9], [3, 3, 3, 3, 3, 3, 9]]
[[], [6, 9, 9], [8, 8], [9, 9, 9], [3, 3, 3, 3, 3, 3, 9], [9, 9, 9]]
[[], [3, 3, 9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 9], [8, 8], [6, 9, 9]]
[[], [3, 3, 3, 3, 3], [9, 9], [8, 8], [3, 9, 9], [6, 9], [9, 9], [9, 9]]
[[], [3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [], [9, 9], [9, 9], [6, 9], [8, 8]]
[[9], [3, 3, 9], [3, 3, 9], [9], [9], [3, 3, 9], [9], [9], [8, 8], [6, 9]]
[[9], [8], [6, 8], [3, 9], [9], [3, 9], [3, 9], [3, 9], [3, 9], [9], [3, 9]]
[[9], [9], [3, 9], [9], [3, 9], [9], [6], [3, 3, 8], [9], [3, 3, 8], [9], [9]]
[[9], [9], [9], [8], [9], [8], [9], [9], [9], [3, 3, 3, 3], [3, 3, 6], [9], [9]]
[[8], [9], [9], [9], [3, 3, 3, 3], [8], [9], [9], [3, 3], [6], [9], [9], [9], [9]]
[[9], [8], [], [9], [3, 3, 3, 3], [9], [], [3, 3, 6], [9], [9], [9], [8], [9], [9], [9]]
[[9], [9], [8], [6], [8], [9], [9], [9], [3, 3, 3], [9], [], [3, 3, 3], [9], [], [9], [9]]
[[], [9], [9], [], [3, 6], [9], [3, 3], [3, 3, 3], [9], [9], [9], [], [8], [8], [9], [9], [9]]
[[9], [9], [9], [9], [8], [], [9], [], [6], [9], [8], [9], [], [9], [9], [], [3, 3, 3], [3, 3, 3]]
-EndAllocation

Instance: [[1], [120], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,18. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10, 10, 10, 9], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 8, 8], [9, 9, 9]]
[[9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9]]
[[], [9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [9, 9], [9, 9], [4, 4]]
[[], [9, 9], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], []]
[[9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 8], [4, 8], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [4, 8]]
[[9], [8], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4], [4, 4, 4], [9]]
[[8], [9], [9], [9], [9], [4, 8], [4, 4, 4], [4], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [9], [9], [], [8], [9], [9], [8], [9], [4, 4], [9], [4, 4], [4, 4], [9]]
[[], [9], [4, 4], [8], [9], [9], [9], [8], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [9]]
[[8], [4, 4], [9], [8], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], []]
[[9], [9], [9], [4, 4], [], [9], [9], [], [9], [4, 4], [4, 4], [], [8], [9], [9], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [133], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 9], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 7, 8, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [7, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9], [7, 9, 9, 9, 9]]
[[], [7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 8, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 9, 9], [7, 9, 9]]
[[9], [8, 9], [9, 9], [4, 4, 4, 7], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [9], [9, 9]]
[[], [9, 9], [9, 9], [8], [9, 9], [7], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4]]
[[9], [4, 9], [8, 9], [9], [7, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [7, 8], [4, 9], [9], [4, 9], [9]]
[[9], [7], [4, 9], [4, 9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 7], [8], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 8], [7], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [7], [4, 8], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4]]
[[], [4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [9], [9], [9], [4], [9], [7], [9], [4, 4]]
[[], [7], [9], [4, 4], [8], [9], [], [9], [9], [9], [9], [4, 4], [4], [9], [9], [4, 4], [9], [9]]
[[8], [4, 4], [], [7], [9], [4, 4], [9], [], [9], [4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [132], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 7, 8, 8], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9], [4, 4, 7, 8, 8, 9, 9, 9]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 8, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [4, 8, 8, 9], [4, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [7, 8, 8]]
[[], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 7, 9], [4, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 7], [9, 9], [8, 8], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4], [], [9, 9], [9, 9], [7, 8], [8, 9]]
[[9], [9], [7, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [8, 8], [4, 9], [9]]
[[9], [4, 8], [4, 9], [4, 9], [9], [9], [7], [4, 9], [4, 9], [4, 9], [9], [4, 8]]
[[9], [4, 4, 4], [9], [7], [4, 9], [4, 9], [4, 8], [9], [8], [9], [4, 9], [9], [9]]
[[9], [9], [9], [7], [8], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [9], [9], [], [9], [9], [9], [7], [9], [4, 4, 4], [9], [9], [4, 8], [8]]
[[9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [], [], [9], [9], [4, 7], [8], [9], [9]]
[[9], [4, 4], [8], [9], [7], [9], [], [9], [9], [8], [4, 4], [4, 4], [4], [9], [9], [9], [9]]
[[9], [], [9], [9], [8], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4], [9], [8], [9], [9], [7]]
[[9], [9], [], [4, 4], [9], [4, 4], [], [8], [], [9], [9], [4], [9], [8], [9], [9], [7], [9], [4, 4]]
-EndAllocation

Instance: [[1], [131], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10, 10, 9], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 9, 9], [9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9], [7, 7, 9, 9, 9], [3, 3, 3, 3, 3, 3, 9, 9]]
[[], [9, 9, 9], [3, 3, 3, 3, 3, 3, 9, 9], [7, 9, 9, 9], [7, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9], [3, 3, 3, 3, 3, 3, 9]]
[[9, 9], [7, 7, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3], [9, 9], [9, 9]]
[[9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3]]
[[], [9, 9], [9], [3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7]]
[[], [9, 9], [9, 9], [3, 7, 7], [9, 9], [9], [9, 9], [], [3, 3, 3, 3, 3], [9, 9]]
[[9], [3, 3, 9], [7, 9], [9], [7, 9], [9], [9], [3, 3, 9], [9], [3, 3, 9], [9]]
[[9], [9], [3, 9], [7, 7], [3, 9], [9], [3, 9], [3, 9], [3, 9], [9], [3, 9], [9]]
[[9], [3, 9], [9], [9], [7, 7], [9], [3, 3, 3, 3], [9], [9], [9], [3, 9], [9], [9]]
[[9], [9], [9], [3, 3, 3, 3], [9], [7], [9], [9], [3, 9], [9], [7], [9], [9], [3, 9]]
[[], [9], [9], [9], [7], [9], [7], [3, 9], [9], [9], [3, 9], [9], [9], [9], [3, 3, 3, 3]]
[[9], [9], [3, 3], [9], [9], [7], [9], [9], [3, 3, 3, 3], [9], [9], [7], [], [9], [9], [9]]
[[9], [], [3, 3, 3], [9], [9], [], [9], [7], [9], [9], [9], [9], [9], [3, 3, 3], [9], [7], [9]]
[[9], [], [9], [7], [], [9], [9], [9], [7], [9], [9], [3, 3, 3], [9], [3, 3, 3], [9], [9], [], [9]]
[[7], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [], [9], [3, 3, 3], [9], [3, 3, 3], [], [7], []]
-EndAllocation

Instance: [[1], [130], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 7, 7, 8, 8], [2, 3, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9]]
[[5, 5, 7], [2, 4, 5, 6, 7, 8, 8, 8, 8], [3, 9, 9, 9, 9, 9, 9]]
[[], [5, 5, 7, 8, 9, 9], [2, 5, 6, 7, 8, 8, 8], [3, 4, 9, 9, 9, 9]]
[[5], [4, 8, 9, 9], [3, 5, 6, 7, 9], [7, 9, 9, 9], [2, 5, 8, 8, 8]]
[[], [5, 5, 9, 9], [4, 5, 9, 9], [3, 7, 9, 9], [6, 7, 8, 8], [2, 8, 8]]
[[], [6, 9, 9], [9, 9], [2, 3, 7, 8], [5, 5, 5, 7], [4, 9, 9], [8, 8, 8]]
[[9], [7, 7], [8, 9], [9, 9], [6, 9], [2, 4, 5, 5], [3, 8, 9], [5, 8, 8]]
[[], [9, 9], [8, 8], [2, 4, 5, 8], [9, 9], [3, 6], [7, 8], [5, 5, 7], [9, 9]]
[[9], [2, 9], [5, 8], [5, 8], [9], [7, 9], [3, 4, 9], [6, 8], [8, 9], [5, 7]]
[[9], [2, 5, 5], [6, 9], [5, 9], [8, 8], [3, 7], [9], [4, 8], [8], [7, 9], [9]]
[[9], [9], [7], [9], [6, 8], [9], [4, 7], [5, 8], [5, 9], [2, 3, 8], [9], [5, 8]]
[[9], [9], [7], [8], [9], [5, 7], [5, 8], [3, 9], [4, 9], [8], [2, 9], [5, 8], [6]]
[[9], [8], [5, 8], [6, 7], [9], [5, 8], [9], [2], [9], [9], [3, 5], [7], [9], [4, 8]]
[[8], [9], [5, 6], [7], [9], [3, 5], [2, 8], [8], [9], [4], [5, 7], [9], [9], [8], [9]]
[[9], [9], [9], [8], [3, 9], [8], [], [4, 8], [5, 5], [2, 9], [5], [9], [6], [7], [7], [8]]
[[9], [7], [8], [9], [8], [5], [7], [8], [9], [3], [8], [6], [2, 5], [9], [9], [4, 5], [9]]
[[9], [3, 7], [9], [], [8], [6], [9], [7], [2], [9], [9], [5, 5], [8], [8], [4], [9], [8], [5]]
[[5], [6], [4], [9], [8], [2], [3], [8], [7], [9], [5], [8], [5], [8], [9], [9], [9], [7], [9]]
-EndAllocation

Instance: [[1], [129], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 9], [4, 4, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [4, 9, 9]]
[[], [4, 9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [8, 8, 9]]
[[], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [8, 8], [9, 9], [9]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 8], [9]]
[[9], [8, 8], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 8], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [8]]
[[9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [8], [9], [4, 4, 4], [8], [9], [9], [9]]
[[9], [8], [4, 8], [4, 9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[8], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4]]
[[9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4], [4, 4, 4], [9], [8], [9], [], []]
[[9], [4, 4], [8], [9], [8], [4, 4], [9], [], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9]]
[[9], [9], [4, 4], [], [9], [], [9], [], [9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [8], [4, 4]]
[[9], [4, 4], [4, 4], [4, 4], [8], [9], [9], [], [9], [9], [9], [], [9], [8], [], [4, 4], [9], [], [9]]
-EndAllocation

Instance: [[1], [128], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [7, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 8], [7, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9]]
[[], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 8]]
[[], [9, 9], [4, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [7, 9, 9]]
[[], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9]]
[[], [9, 9], [8], [4, 4, 4, 4, 4], [7, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [8, 9], [7, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [9]]
[[9], [9], [4, 4, 4, 4], [4, 9], [9], [8], [4, 9], [4, 9], [7, 9], [9], [4, 9]]
[[9], [9], [9], [4, 8], [9], [9], [4, 9], [4, 9], [4, 9], [7], [4, 4, 4], [4, 9]]
[[9], [9], [4, 4, 4], [8], [4, 7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9]]
[[9], [4, 4, 4], [9], [7], [4, 9], [9], [4], [9], [8], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [7], [9], [9], [4, 4]]
[[9], [4, 4], [9], [8], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], []]
[[], [7], [4, 4], [8], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9]]
[[9], [7], [4, 4], [4, 4], [9], [8], [9], [], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], []]
[[8], [9], [], [], [], [9], [4, 4], [4, 4], [9], [9], [9], [7], [4, 4], [], [9], [9], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [127], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,19. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 8, 8, 8, 8], [4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 8, 9], [9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9]]
[[], [4, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 8]]
[[9], [8, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [9, 9]]
[[], [4, 4, 4, 4, 4], [8, 8], [8, 8], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [4, 8, 8], [4]]
[[9], [9], [9], [8, 9], [4, 4, 4, 4], [9], [8, 9], [9], [4, 4, 4, 4], [8, 8]]
[[9], [8, 8], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [8, 8], [9], [9]]
[[8], [9], [4, 8], [4, 9], [8], [4, 4, 4], [4, 9], [4, 9], [8], [9], [4, 9], [9]]
[[8], [9], [8], [9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [4, 4, 4], [8], [9], [9]]
[[9], [8], [8], [8], [9], [4, 9], [9], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [], [9]]
[[], [9], [4, 8], [9], [4, 4, 4], [4, 8], [9], [4, 4, 4], [9], [9], [8], [], [9], [8], [9]]
[[8], [4, 4], [9], [4, 4], [9], [9], [9], [8], [8], [8], [9], [4, 4], [4, 4], [9], [], [9]]
[[8], [9], [9], [8], [9], [9], [4, 4], [], [9], [4, 4], [8], [4, 4], [9], [8], [9], [], [4, 4]]
[[], [9], [], [4, 4], [9], [4, 4], [9], [9], [8], [9], [], [9], [8], [8], [9], [4, 4], [8], [4, 4]]
[[8], [], [8], [8], [9], [], [9], [4, 4], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [8], [9], []]
-EndAllocation

Instance: [[1], [140], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[5, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4], [4, 5, 8, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 8, 9], [5, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 8], [5, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [5, 8, 9, 9], [9, 9, 9]]
[[9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 8], [5, 9, 9]]
[[9], [9, 9], [5, 9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 9], [4, 4, 4, 4, 8]]
[[], [5, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [], [9, 9], [4, 4, 4, 5]]
[[9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 9], [9], [4, 4, 9], [9], [9], [5, 9]]
[[4, 9], [4, 9], [9], [4, 4, 8], [5, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9]]
[[8], [4, 4, 4], [9], [5, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [8], [9], [4, 4, 4], [4, 9], [4, 9], [4, 5], [9], [9], [4, 9], [9], [9], [9]]
[[], [9], [9], [4, 9], [9], [9], [9], [9], [9], [8], [4, 4, 5], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [5], [9], [9], [8], [9], [9], [4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4], [4, 4, 4], [9], [5]]
[[9], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [8], [9], [9], [9], [], [9], [9], [4, 4], [4, 5]]
[[9], [9], [9], [], [4, 4], [9], [8], [], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 5]]
[[9], [4, 5], [], [4, 4], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [], [8], [9], [4, 4]]
-EndAllocation

Instance: [[1], [139], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 8, 9, 9, 9], [4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4], [4, 4, 4, 5, 8, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 8, 9, 9], [5, 8, 9, 9, 9], [4, 4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 8, 8], [4, 5, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 9], [5, 8, 8, 9], [9, 9, 9]]
[[9], [9, 9], [4, 4, 9, 9], [8, 9], [4, 9, 9], [4, 4, 4, 4, 8], [5, 9, 9]]
[[], [9, 9], [5, 9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 9], [4, 4, 4, 4, 8]]
[[], [5, 9], [4, 4, 4, 9], [9, 9], [8, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4]]
[[], [4, 9], [4, 4, 4], [9, 9], [9, 9], [9], [8, 9], [8, 9], [9, 9], [4, 4, 4, 5]]
[[9], [9], [4, 9], [4, 4, 9], [4, 4, 8], [9], [8, 9], [4, 4, 9], [9], [9], [5, 9]]
[[9], [4, 9], [9], [4, 4, 4, 4], [5, 9], [8, 8], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [4, 4, 4], [8], [5, 9], [4, 8], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [8], [9], [4, 9], [4, 4, 4], [4, 9], [4, 5], [9], [9], [4, 8], [9], [9], [9]]
[[], [9], [9], [4, 9], [9], [9], [8], [4, 4], [9], [8], [4, 4, 5], [9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4], [5], [4, 8], [9], [8], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [4], [9], [9], [8], [9], [4], [9], [9], [9], [4, 4], [4, 4, 4], [9], [5]]
[[9], [4], [8], [9], [9], [9], [9], [9], [4, 4], [8], [4], [9], [9], [], [9], [9], [4, 4], [4, 5]]
[[9], [9], [9], [4], [4], [9], [8], [], [4, 4], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [4, 5]]
[[9], [4, 5], [], [4, 4], [8], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [], [8], [9], [4, 4]]
-EndAllocation

Instance: [[1], [138], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 7], [3, 4, 8, 8, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [3, 4, 7, 8, 8]]
[[9, 9, 9, 9, 9], [6, 6, 6, 7, 9], [8, 8], [3, 4, 6, 6, 6, 6, 6, 6]]
[[4, 6, 6, 6, 9], [8, 8, 9, 9], [6, 6, 6, 6, 6, 6], [7], [3, 9, 9, 9]]
[[4, 6, 6, 6, 6], [6, 6, 6, 6, 6], [9, 9, 9], [7], [9, 9, 9], [3, 8, 8]]
[[6, 6, 6], [3, 6, 6, 6], [6, 6, 6], [8, 9, 9], [7, 9, 9], [8, 9, 9], [4]]
[[3, 4, 6], [9, 9], [7, 8, 8], [6, 6, 6, 6], [6, 6, 6, 6], [9, 9], [], [9, 9]]
[[3, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [7], [9, 9], [9, 9], [9, 9], [8, 8]]
[[3, 4, 8], [9, 9], [6, 6, 6], [6, 6, 6], [9, 9], [6, 6, 6], [9, 9], [], [7], [8]]
[[3, 6, 6], [4, 9], [6, 6], [6, 9], [6, 9], [6, 9], [7, 9], [8, 8], [], [9], [6, 6]]
[[3, 6, 6], [6, 6], [9], [6, 9], [6, 6], [7, 9], [9], [], [8, 8], [6, 6], [9], [4, 9]]
[[3, 6], [6, 6], [6, 6], [6, 6], [6, 7], [4, 9], [6, 8], [9], [9], [9], [9], [9], [8]]
[[3, 4, 6], [8], [6, 6], [6, 6], [6, 6], [6, 6], [9], [9], [8], [9], [9], [7], [9], [9]]
[[3, 4, 6], [6, 6], [6, 6], [6, 6], [], [8], [9], [9], [9], [9], [9], [9], [6, 6], [7], [8]]
[[3, 4], [6, 6], [6, 6], [6, 6], [7], [8], [9], [8], [9], [9], [], [6], [9], [9], [6, 6], [9]]
[[3, 6], [6, 6], [9], [6, 6], [6, 6], [4, 6], [6], [9], [], [9], [8], [], [7], [9], [8], [9], [9]]
[[3, 6], [4, 6], [8], [6], [6], [6], [7], [6], [6], [9], [9], [6], [8], [9], [6], [9], [9], [9]]
[[3, 6], [7], [4], [9], [8], [6], [6], [9], [6], [6], [6], [8], [6], [6], [9], [9], [9], [6], [9]]
[[3, 4], [9], [6], [6], [6], [], [6], [6], [9], [6], [6], [8], [6], [9], [9], [6], [7], [9], [8], [9]]
-EndAllocation

Instance: [[1], [137], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9]]
[[], [9, 9, 9], [4, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 9], [4, 4, 9, 9], [9, 9], [4, 4, 9, 9], [8, 8, 8], [9, 9]]
[[], [9, 9], [4, 9, 9], [9, 9], [9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [9, 9], [4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [8, 8], [8], [9, 9], [4, 4, 4, 4]]
[[9], [9], [4, 4, 9], [4, 4, 9], [8, 8], [9], [8, 9], [4, 4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [8, 8], [4, 4, 8], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4]]
[[8], [4, 4, 4], [8], [9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [4, 8], [8], [9], [9]]
[[], [9], [9], [4, 9], [9], [9], [8], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9], [4, 8]]
[[9], [9], [9], [4, 4, 4], [9], [8], [9], [8], [9], [9], [4, 4], [9], [8], [4, 4, 4], [], [9]]
[[8], [9], [], [8], [9], [], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4], [4, 4, 4], [9], [9]]
[[9], [4, 4], [8], [], [8], [9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [], [9], [9], [4, 4], [9]]
[[9], [9], [9], [4, 4], [4, 4], [], [8], [], [8], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[9], [9], [], [4, 4], [8], [9], [], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [8], [8], [], [4, 4]]
-EndAllocation

Instance: [[1], [136], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10, 10, 10, 9], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 9, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 6, 8, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [6, 8, 9], [9, 9], [4, 4, 9, 9]]
[[9], [8, 9], [9, 9], [4, 4, 4, 6], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [8, 9], [4, 4, 4, 6]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [4, 6, 8]]
[[9], [9], [9], [9], [6, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [8, 9]]
[[9], [9], [9], [4, 4, 8], [6, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4]]
[[9], [9], [8], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 6], [4, 9], [9]]
[[9], [4, 4, 4], [6], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 6], [4, 9], [8], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4], [9], [4, 4, 4], [6], [9], [], [9], [4, 8], [9]]
[[9], [4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 6], [4, 4], [9], [4]]
[[9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4], [9], [9], [4, 4], [], [], [4, 4], [4, 6], [9]]
[[], [9], [8], [9], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [6], [4, 4], [9], [4, 4], [9], [9], [9]]
[[8], [6], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [], [], [9], [9], []]
-EndAllocation

Instance: [[1], [135], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9], [9, 9], [4, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [], [9, 9], [4, 4, 4, 4]]
[[9], [9], [9], [4, 4, 9], [9], [4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [4, 4, 4], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9]]
[[9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4]]
[[9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9]]
[[], [9], [], [9], [4], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9]]
[[9], [4, 4], [9], [9], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [], [], [9], [9], []]
-EndAllocation

Instance: [[1], [134], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,20. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 8, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9, 9], [9, 9], [4, 4, 4, 9]]
[[9], [8, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [8, 9], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [4, 4, 8]]
[[9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [8, 9]]
[[9], [9], [9], [4, 4, 8], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4, 4]]
[[9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [9]]
[[], [4, 4, 4], [9], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [8], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [], [9], [4, 8], [9]]
[[9], [4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4]]
[[9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9]]
[[], [9], [8], [9], [4], [9], [9], [9], [4, 4], [], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [9], [9]]
[[8], [4, 4], [9], [9], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [], [], [9], [9], []]
-EndAllocation

Instance: [[1], [147], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9]]
[[], [4, 4, 4, 8, 8], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4]]
[[9], [4, 4, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8], [9, 9]]
[[], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4]]
[[], [9], [9, 9], [9, 9], [4, 4, 4, 4], [], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [8, 8], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [8, 8], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [4, 4, 4]]
[[9], [8], [9], [4, 4, 4], [8], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [9]]
[[9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [], [9], [8], [9], [4, 4, 4], [9], [9], [9], [8]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [4, 8], [9], [9], [9], [], [9], [4, 4, 4], [], [9]]
[[9], [9], [9], [9], [8], [8], [9], [4, 4, 4], [9], [], [4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4], [8], [9], [], [9], [9], [4, 4], [9], [9], [8], [9], [], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [4, 4], [], [9], [9], [9], [4, 4], [8], [9], [9], [4, 4], [], [9], [8], [9], [9], [9], [9], [4, 4], []]
[[9], [9], [], [9], [], [4, 4], [4, 4], [8], [9], [4, 4], [], [9], [9], [9], [], [9], [9], [4, 4], [9], [8], [9]]
-EndAllocation

Instance: [[1], [146], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [7, 8, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [7, 9, 9]]
[[], [4, 4, 4, 4, 4, 8], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4]]
[[9], [4, 4, 7, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8], [7, 9]]
[[], [], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9], [9, 9], [4, 4, 4, 4], [], [7, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [7, 9], [4, 4, 4, 4]]
[[9], [9], [9], [9], [4, 9], [7, 9], [8], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [7], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [8], [4, 9], [9], [9], [4, 9], [9], [7], [9], [9], [4, 4, 4], [9]]
[[9], [4, 7], [9], [4, 4, 4], [9], [9], [4, 9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8]]
[[7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [], [9], [4], [9], [9]]
[[9], [9], [9], [9], [8], [9], [7], [4, 4, 4], [9], [], [4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4], [7], [9], [], [9], [9], [4, 4], [9], [9], [8], [9], [], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [4, 4], [], [9], [9], [9], [4, 4], [8], [9], [9], [4, 4], [], [9], [7], [9], [9], [9], [9], [4, 4], []]
[[9], [9], [9], [9], [], [], [4, 4], [4, 4], [9], [4, 4], [], [7], [9], [9], [], [9], [9], [4, 4], [9], [8], [9]]
-EndAllocation

Instance: [[1], [145], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [7, 8, 8, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [7, 9, 9]]
[[], [4, 4, 4, 8, 8], [9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4]]
[[9], [7, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8], [7, 9]]
[[], [], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [4, 4, 4, 4], [8], [7, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [8, 9], [9], [4, 4], [9], [9], [9], [8, 9], [4, 4, 9], [9], [7, 9], [4, 4, 4, 4]]
[[9], [9], [9], [9], [9], [7, 9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9], [8, 8]]
[[9], [9], [8], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [7], [4, 4, 4]]
[[9], [8], [9], [4, 4, 4], [7], [9], [9], [9], [4, 9], [9], [9], [9], [4, 8], [4, 4, 4], [9]]
[[9], [4, 7], [9], [4, 4, 4], [9], [9], [4, 9], [], [9], [8], [9], [4, 4, 4], [9], [9], [9], [8]]
[[7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [4, 8], [9], [9], [9], [], [9], [4, 4, 4], [], [9]]
[[9], [9], [9], [9], [8], [8], [7], [4, 4, 4], [9], [], [4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4], [7], [9], [8], [9], [9], [4, 4], [9], [9], [8], [9], [], [9], [9], [9], [4, 4], [], [4, 4]]
[[9], [4, 4], [], [], [9], [9], [4, 4], [8], [9], [9], [4, 4], [7], [9], [8], [9], [9], [9], [9], [4, 4], []]
[[9], [9], [], [9], [], [4, 4], [4, 4], [8], [9], [4, 4], [], [7], [9], [9], [], [9], [9], [4, 4], [9], [8], [9]]
-EndAllocation

Instance: [[1], [144], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [6, 8, 8, 9, 9, 9, 9]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6], [8, 8, 9, 9], [9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9], [8, 8, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9], [8, 8, 9], [4, 6, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 6], [4, 4, 9], [9, 9], [8, 8], [4, 9, 9], [4, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [8, 8], [6, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4], [6, 9]]
[[], [4, 4, 4, 4], [9, 9], [9], [6, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], []]
[[9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [9], [6, 9], [9], [4, 9], [4, 9], [9], [8, 8]]
[[9], [8, 8], [4, 4, 4], [6, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [9]]
[[9], [9], [4, 4, 4], [8], [9], [6, 8], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [8], [4, 6], [4, 4, 4], [9], [9], [9], [8], [9], [9]]
[[9], [8], [9], [9], [9], [8], [9], [9], [4, 4], [9], [6], [9], [9], [9], [4, 4, 4], [4, 4, 4]]
[[], [9], [4, 4, 4], [9], [9], [4, 8], [], [9], [9], [4, 6], [9], [8], [4, 4, 4], [9], [9], [9], [9]]
[[9], [8], [9], [8], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [6], [9], [], [9], [9]]
[[9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [8], [6], [9], [9], [8], [9], [4, 4]]
[[6], [], [4, 4], [4, 4], [9], [9], [9], [8], [4, 4], [9], [9], [8], [9], [9], [9], [9], [], [9], [4, 4], []]
[[], [4, 4], [9], [9], [9], [], [], [6], [9], [9], [4, 4], [9], [9], [8], [9], [8], [9], [4, 4], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [143], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9], [7, 9, 9, 9, 9, 9]]
[[4, 6, 6, 6, 6, 6, 9, 9, 9], [6, 6, 9], [4, 4, 7, 7, 7, 7, 7, 9, 9]]
[[7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 9]]
[[6, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [4, 4, 4, 7, 9, 9], [9, 9, 9, 9], []]
[[6, 6, 6, 7], [7, 7, 7, 7], [9, 9], [4, 4, 9, 9], [4, 6, 6, 6, 6], [9, 9]]
[[6, 6, 6, 7], [9, 9, 9], [4, 6, 9, 9], [6, 6, 6, 9], [], [4, 4], [7, 7, 7, 7]]
[[6, 7, 9], [6, 6, 9], [], [9], [7, 7, 9], [7, 7, 9], [4, 4, 4, 9], [6, 6, 6, 6]]
[[7, 7], [6], [6, 6, 6], [6, 6, 6], [7, 7, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4]]
[[4, 4, 9], [6, 9], [6, 9], [7, 9], [6, 6, 6], [6, 7, 7], [4, 9], [7, 7], [6], [9]]
[[7, 9], [4, 4, 9], [6, 6], [6, 6], [4, 9], [6, 9], [7, 9], [7, 9], [], [7, 7], [6, 6]]
[[7, 9], [4, 4, 6], [6, 6], [4, 6, 6], [6, 6], [7, 9], [9], [], [7, 7], [9], [9], [7, 9]]
[[7, 7], [9], [6, 6], [6, 7], [4, 4, 4], [6, 6], [9], [9], [9], [9], [6, 7], [6, 7], [9]]
[[9], [4, 4, 4], [6, 7], [6, 6], [6, 6], [6, 6], [9], [9], [7, 7], [9], [], [9], [9], [7, 7]]
[[6, 7], [4, 7], [7], [6, 6], [6, 6], [4, 7], [9], [], [9], [6, 6], [7], [9], [9], [9], [4, 9]]
[[6, 6], [6, 6], [7], [6, 6], [9], [7], [9], [9], [4, 7], [7], [6], [4, 7], [9], [4], [9], [9]]
[[9], [9], [6, 6], [6, 6], [7], [6, 6], [9], [9], [7], [7], [7], [9], [4, 4], [7], [9], [6], [4]]
[[9], [4, 6], [9], [7], [7], [9], [6], [7], [4, 6], [9], [7], [9], [6], [9], [6], [7], [4, 6], [6]]
[[9], [9], [4, 6], [4, 4], [6], [6], [6], [7], [9], [6], [6], [7], [9], [9], [7], [9], [6], [7], [7]]
[[4, 6], [4, 6], [4, 6], [6], [6], [6], [6], [9], [7], [7], [7], [9], [], [9], [9], [7], [], [9], [7], [9]]
[[4], [4, 4], [9], [6], [6], [6], [9], [6], [6], [6], [7], [9], [9], [7], [9], [9], [7], [7], [], [7], [6]]
-EndAllocation

Instance: [[1], [142], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 9, 9, 9, 9], [2, 3, 4, 6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9]]
[[7, 7, 7], [2, 6, 9, 9, 9, 9, 9, 9], [3, 4, 5, 5, 5, 7, 7, 7, 8, 8]]
[[6], [2, 3, 7, 7, 7, 7, 7, 7], [4, 5, 5, 5, 9, 9, 9], [8, 8, 9, 9, 9]]
[[], [2, 4, 5, 9, 9, 9], [7, 7, 7, 7, 7], [7, 9, 9, 9], [3, 5, 5, 6, 8, 8]]
[[], [2, 4, 8, 9, 9], [7, 8, 9], [3, 7, 7, 7, 7], [5, 5, 5, 6, 7], [9, 9, 9]]
[[], [5, 5, 5, 8], [3, 4, 9, 9], [6, 8, 9], [2, 7, 7, 7], [7, 7, 7], [9, 9, 9]]
[[], [7, 8, 8], [3, 9, 9], [2, 6, 7, 7], [7, 7], [5, 5, 5, 7], [9, 9], [4, 9, 9]]
[[], [7, 7, 7], [4, 7, 9], [6, 7, 7], [5, 5, 5], [2, 8, 8], [9, 9], [9, 9], [3, 9]]
[[], [8, 8], [9, 9], [7, 7], [7, 7], [2, 9], [3, 9], [4, 5, 5, 5], [6, 7, 7], [9, 9]]
[[], [7, 7], [9], [4, 9], [8, 9], [7, 7], [3, 9], [7, 9], [5, 5, 5], [7, 8], [2, 6, 9]]
[[9], [7], [7, 9], [3, 7], [7, 9], [4, 7], [2, 9], [], [7, 9], [8, 8], [6, 9], [5, 5, 5]]
[[9], [5, 5], [3, 9], [2, 9], [5, 9], [9], [7, 7], [7, 7], [7, 7], [4, 6], [8], [8], [9]]
[[9], [9], [7, 7], [8], [6], [3, 8], [7, 7], [5, 9], [2, 9], [4], [9], [9], [7, 7], [5, 5]]
[[7], [9], [2, 4, 7], [9], [9], [9], [5, 5], [8], [6, 7], [5, 7], [9], [7], [3, 9], [7], [8]]
[[9], [9], [9], [7], [5, 7], [7], [5, 5], [4, 8], [7], [9], [2, 9], [3, 9], [7], [7], [8], [6]]
[[7], [9], [2, 9], [7], [4, 7], [3, 8], [6], [9], [5, 7], [9], [9], [7], [], [9], [7], [8], [5, 5]]
[[9], [4], [9], [7], [7], [7], [9], [5], [6], [5, 5], [9], [8], [8], [7], [3, 7], [9], [9], [2, 7]]
[[9], [9], [8], [9], [4], [7], [9], [3, 7], [7], [7], [2, 6], [], [9], [5], [7], [8], [9], [7], [5, 5]]
[[9], [5, 5], [9], [3, 7], [9], [7], [7], [], [9], [7], [9], [6], [8], [9], [7], [2, 5], [4], [], [8], [7]]
[[7], [8], [9], [7], [8], [], [3], [4, 5], [9], [6], [5], [2, 7], [9], [5], [9], [7], [7], [], [7], [9], [9]]
-EndAllocation

Instance: [[1], [141], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,21. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,21:
-StartAllocation
[[7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9]]
[[9, 9], [7, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9], [9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [7, 9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9], [8, 9, 9], [4, 4, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 7], [4, 4, 4, 4, 8], [9, 9]]
[[], [9, 9], [7, 9], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9], [4, 7, 9], [4, 4, 4, 4, 4]]
[[9], [4, 4, 9], [9], [4, 4, 4, 4], [7, 9], [9], [4, 4, 9], [9], [4, 9], [8, 9], [9]]
[[9], [9], [4, 9], [8], [4, 9], [4, 4, 4, 4], [9], [4, 9], [7, 9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [8], [9], [4, 4, 4], [7], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [7], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 8], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4], [9], [9], [9], [9], [7], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [7], [4, 4, 4], [4, 4, 4], [9], []]
[[9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [8], [4, 4, 4], [7], [9], [9], [9], [9], [], [9]]
[[9], [4], [7], [8], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9]]
[[], [7], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [], [4]]
[[9], [9], [4, 4], [9], [], [], [8], [9], [9], [9], [7], [4], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9]]
[[9], [9], [], [], [], [7], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4], [9], [8]]
-EndAllocation

Instance: [[1], [154], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 9], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 9, 9, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 7, 7], [9, 9, 9], [4, 4, 4, 9, 9]]
[[], [9, 9, 9], [4, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [], [9, 9], [4, 4, 4, 4]]
[[9], [9], [9], [4, 4, 9], [7, 9], [9], [7, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [7, 7], [4, 9], [9]]
[[9], [9], [9], [7, 7], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 7], [4, 9], [9], [7]]
[[9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9], [4, 7], [7], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4], [7], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], []]
[[9], [], [], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 7], [4, 7], [9], [9], [9], [4, 4, 4], [9]]
[[9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [7], [], [9], [9], [9], [4, 4], [9], [], [7], [9], [9]]
[[9], [9], [9], [], [4, 4], [9], [7], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [7], [9], [9], [9], [9], [], [9]]
[[], [9], [9], [9], [9], [7], [4, 4], [9], [4, 4], [9], [9], [7], [4, 4], [], [9], [], [], [9], [9], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [153], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4], [4, 4, 7, 8, 8, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 8, 8, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9], [4, 8, 8, 8], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 7], [9, 9], [9, 9], [8, 8, 8]]
[[9], [4, 9, 9], [7, 9], [9, 9], [8, 8], [4, 4, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [7]]
[[], [9, 9], [9, 9], [8, 9], [4, 4, 7], [9, 9], [4, 4, 4, 4], [4, 4], [8, 8], [9], [9, 9]]
[[9], [7, 9], [9], [9], [4, 4, 9], [9], [8, 9], [4, 4, 4, 4], [8, 9], [9], [4, 4, 8], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [8], [7, 9], [9], [8, 8], [9], [9]]
[[9], [4, 9], [4, 8], [4, 9], [4, 8], [9], [4, 9], [4, 9], [9], [9], [4, 8], [7], [4, 9], [9]]
[[9], [8], [4, 9], [7], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [4, 8], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [7], [4, 4, 4], [4, 8], [9], [4, 9], [8], [4, 4], [4, 8], [9], [9], [9], [9]]
[[9], [9], [8], [4, 8], [9], [7], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4], [9], [9], [4, 4, 4]]
[[7], [], [], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [9], [4, 8], [9]]
[[9], [9], [4, 4, 4], [], [], [9], [9], [4, 4, 4], [8], [8], [9], [9], [9], [9], [7], [4, 4], [9], [9], [8]]
[[9], [8], [4, 4], [9], [9], [9], [4, 4], [8], [7], [4, 4], [9], [], [9], [], [8], [9], [9], [4, 4], [9], [9]]
[[7], [9], [9], [4, 4], [9], [8], [4, 4], [4, 4], [], [9], [9], [8], [9], [9], [8], [9], [], [], [4, 4], [9], [9]]
[[9], [9], [9], [], [8], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [8], [8], [7], [], [], [4, 4], [9]]
-EndAllocation

Instance: [[1], [152], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8], [5, 5, 6, 9, 9, 9, 9]]
[[5, 8, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 6, 8, 8]]
[[5, 5, 5, 5, 7, 8, 8], [8, 9, 9, 9, 9], [5, 5, 6], [7, 7, 7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 7], [7, 7, 8, 8], [9, 9, 9, 9], [5, 5, 8], [6, 7, 7, 7, 7, 7]]
[[5, 7, 7, 8], [7, 7, 7, 7], [], [8, 8, 9, 9], [7, 7, 9, 9], [5, 5, 5, 5, 5, 6]]
[[7, 7], [5, 5, 5, 7, 7], [9, 9, 9], [7, 7, 7, 7], [6, 8, 8], [5, 5, 8], [5, 9]]
[[5, 5, 5, 8], [7, 7, 7], [7, 7, 9], [7, 7, 7], [], [5, 5, 9], [5, 9, 9], [6, 8, 8]]
[[7, 7, 7], [5, 5], [5, 7, 7], [9, 9], [5, 5, 8], [5, 9], [6, 8, 8], [9], [7, 7, 7]]
[[5, 5, 5, 5], [7, 7], [7, 7, 7], [], [7, 7, 7], [9, 9], [5, 5, 9], [6, 8], [8, 8], [9]]
[[5, 5, 5], [], [7, 7], [7, 7], [7, 7], [5, 5, 8], [7, 9], [5, 9], [9, 9], [8, 8], [6, 7]]
[[7, 7], [5, 5], [7, 7], [5, 5], [7, 7], [5, 5, 6], [8, 9], [7, 7], [9], [9], [8, 8], [9]]
[[7, 7], [5, 5, 5], [5, 9], [7, 7], [7, 7], [5, 5], [8, 8], [6], [7, 7], [9], [9], [8], [9]]
[[7, 7], [5, 5], [5, 7], [5, 7], [7, 7], [5, 5], [8], [9], [9], [7, 7], [6, 8], [9], [8], [9]]
[[5, 9], [5, 7], [5, 8], [7, 7], [7, 7], [5, 6], [9], [9], [], [5, 5], [8], [7, 7], [8], [9], [7]]
[[5, 5], [5, 7], [5, 8], [5, 7], [8], [9], [7], [9], [9], [7], [6, 7], [7], [7], [9], [5, 7], [8]]
[[8], [5, 7], [5, 6], [5, 7], [5, 7], [8], [8], [5, 7], [7], [5], [7], [9], [9], [7], [9], [7], [9]]
[[5, 5], [5, 7], [5, 7], [7], [7], [8], [7], [7], [9], [7], [9], [8], [7], [6], [5, 5], [8], [9], [9]]
[[5, 5], [7], [8], [7], [7], [5, 5], [7], [7], [8], [7], [6], [7], [9], [8], [9], [9], [9], [5, 5], [7]]
[[8], [7], [7], [], [5, 5], [7], [7], [7], [7], [7], [9], [9], [5, 5], [9], [6], [7], [9], [8], [5, 5], [8]]
[[5], [5, 5], [7], [7], [7], [7], [7], [7], [], [7], [9], [5], [9], [9], [8], [6], [5, 5], [7], [8], [9], [8]]
[[5], [8], [7], [5], [8], [9], [7], [7], [7], [7], [7], [9], [5], [7], [5], [5], [8], [7], [6], [9], [9], [5]]
-EndAllocation

Instance: [[1], [151], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10, 10, 10, 9], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[3, 3, 3, 3, 3, 9, 9, 9, 9], [3, 3, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 9, 9], [9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 8, 8, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 9, 9, 9], [6, 8, 8, 9, 9, 9]]
[[9], [3, 3, 3, 3, 3, 3, 3, 8, 8], [9, 9, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9]]
[[9], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 6]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [6, 8, 8], [9, 9, 9], [3, 3, 3, 3, 3, 3, 3]]
[[9, 9], [9, 9], [9, 9], [9, 9], [6, 8, 8], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3, 3]]
[[9], [6, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [3, 3, 3, 3, 3, 3, 3]]
[[], [3, 3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9], [8, 8], [9]]
[[], [8, 8], [6, 9], [9, 9], [3, 3, 3, 3, 3, 3], [9, 9], [], [9, 9], [9, 9], [9, 9], [3, 9]]
[[9], [9], [3, 3, 9], [6, 9], [9], [9], [3, 3, 9], [8, 9], [3, 3, 9], [9], [3, 9], [8, 9]]
[[9], [9], [3, 9], [6, 9], [9], [9], [9], [3, 3, 9], [9], [9], [3, 3, 9], [8, 8], [3, 3, 9]]
[[8], [3, 9], [3, 9], [9], [3, 9], [9], [3, 9], [3, 9], [3, 9], [9], [9], [3, 9], [6, 8], [9]]
[[9], [6, 8], [8], [3, 9], [9], [3, 3, 3, 3], [3, 9], [9], [9], [9], [9], [9], [3, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [3, 3, 6], [9], [8], [9], [3, 9], [3, 3, 3, 3]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [3, 3, 3], [3, 3, 3, 3], [9], [6], [8], [8], [9]]
[[9], [9], [9], [8], [9], [9], [6], [9], [9], [3, 3], [3, 3, 3, 3], [9], [], [9], [9], [9], [9], [3, 8]]
[[6], [9], [9], [9], [8], [9], [3], [9], [9], [9], [], [9], [8], [3, 3, 3], [3, 3, 3], [9], [9], [9], [9]]
[[9], [8], [9], [], [9], [9], [9], [9], [], [9], [9], [3, 3, 3], [9], [9], [9], [8], [3, 6], [], [3, 3, 3], [9]]
[[], [8], [], [9], [9], [9], [6], [9], [9], [8], [9], [9], [3], [9], [9], [9], [3, 3, 3], [9], [9], [3, 3, 3], []]
[[9], [9], [9], [], [9], [9], [9], [8], [9], [], [3], [6], [9], [9], [8], [9], [3, 3, 3], [9], [9], [], [], [3, 3, 3]]
-EndAllocation

Instance: [[1], [150], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 3, 4, 5, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 7, 7, 8, 8, 9, 9], [1, 1, 1, 3, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 9], [1, 1, 1, 3, 6, 8, 8, 9, 9, 9, 9], [4, 5, 9, 9, 9, 9, 9, 9]]
[[9], [5, 6, 8, 8, 9, 9], [3, 9, 9, 9, 9, 9], [1, 1, 1, 4, 7, 7, 9, 9, 9]]
[[], [3, 9, 9, 9, 9], [9, 9, 9, 9], [4, 5, 6, 7, 7, 8], [1, 1, 1, 8, 9, 9, 9]]
[[8], [8, 9, 9], [1, 1, 1, 9, 9, 9], [4, 5, 6, 7, 7], [9, 9, 9], [3, 9, 9, 9]]
[[], [5, 9, 9], [6, 9, 9], [7, 7, 9], [3, 8, 8, 9], [9, 9, 9], [1, 1, 1, 4, 9, 9]]
[[], [9, 9], [3, 6, 9], [4, 9, 9], [5, 9, 9], [8, 8, 9], [1, 1, 1, 9, 9], [7, 7, 9]]
[[], [9, 9], [1, 1, 1, 5, 9], [9, 9], [3, 9, 9], [4, 7, 7], [6, 8, 8], [9, 9], [9, 9]]
[[], [9], [5, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [1, 1, 1, 3, 7, 7], [6, 9]]
[[], [9, 9], [6, 7], [9, 9], [8, 8], [9, 9], [7, 9], [1, 1, 1], [3, 4, 9], [9, 9], [5, 9]]
[[9], [9], [7, 9], [7, 9], [9], [1, 1, 1, 3, 9], [6, 9], [4, 9], [5, 9], [8, 8], [9], [9]]
[[9], [9], [9], [5, 9], [4, 9], [9], [6, 9], [8, 8], [9], [7, 7], [1, 1, 1, 3, 9], [9], [9]]
[[9], [7, 7], [6, 8], [9], [9], [9], [3, 9], [1, 1, 1, 9], [9], [5, 9], [8], [9], [9], [4, 9]]
[[9], [9], [9], [9], [5, 8], [8], [9], [9], [4, 9], [9], [1, 1, 1, 7], [6, 7], [9], [9], [3, 9]]
[[9], [9], [3, 9], [9], [9], [9], [8], [7], [9], [9], [1, 1, 1, 9], [6], [4, 9], [8], [5, 7], [9]]
[[9], [9], [4, 7], [6], [8], [9], [9], [], [9], [9], [8], [1, 1, 1, 9], [9], [3, 9], [9], [9], [5, 7]]
[[7], [6], [9], [5], [4], [1, 1, 1, 8], [3, 9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9]]
[[9], [9], [1, 1, 1, 7], [9], [9], [9], [9], [9], [3, 7], [4, 5], [9], [9], [9], [6], [8], [], [9], [8], []]
[[9], [4], [9], [9], [9], [9], [3, 7], [1, 1, 1], [9], [9], [7], [9], [8], [9], [9], [9], [6], [5], [], [8]]
[[9], [9], [4], [9], [9], [8], [9], [8], [9], [7], [9], [9], [9], [], [], [1, 1, 1], [9], [6], [5], [3, 7], [9]]
[[9], [7], [9], [8], [9], [5], [9], [1, 1, 1], [9], [9], [7], [9], [9], [8], [9], [4], [9], [6], [9], [3], [], []]
-EndAllocation

Instance: [[1], [149], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 9, 9]]
[[], [7, 8, 8, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 9, 9], [7, 9, 9], [8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 8, 8], [9, 9], [7, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 7], [4, 8, 8], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 7, 9], []]
[[], [9, 9], [7, 9], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 9]]
[[9], [4, 9], [9], [7, 9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [8, 8], [9], [9]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [8, 8], [9], [4, 4, 7], [9], [9], [4, 9]]
[[9], [4, 7], [9], [8], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 8], [9], [9], [4, 4, 4]]
[[9], [9], [4, 9], [9], [4, 8], [8], [9], [9], [4, 4, 4], [9], [4, 7], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [8], [7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9], [9]]
[[9], [9], [4, 4, 4], [9], [8], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [7]]
[[7], [9], [9], [9], [4, 4, 4], [8], [9], [9], [], [9], [], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [4, 4], [7], [9], [9], [9], [4, 4], [8], [8], [4, 4], [9], [9], [4]]
[[9], [4, 4], [9], [9], [9], [9], [], [4], [9], [9], [7], [9], [8], [4, 4], [9], [4, 4], [9], [4, 4], [], [8]]
[[9], [9], [4, 4], [], [9], [8], [], [8], [9], [9], [9], [9], [9], [4], [4, 4], [4, 4], [9], [], [4, 4], [7], [9]]
[[9], [], [9], [8], [4, 4], [9], [9], [9], [9], [4, 4], [7], [], [9], [8], [4, 4], [4, 4], [4], [9], [9], [9], [], []]
-EndAllocation

Instance: [[1], [148], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,22. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 9], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9], [4, 4, 4, 4], [9, 9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [], [9]]
[[9], [9], [4, 4], [9], [9], [], [], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [9], [9]]
[[9], [], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], []]
-EndAllocation

Instance: [[1], [161], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 9], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9]]
[[], [8], [9, 9, 9], [9, 9], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4]]
[[], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], []]
[[], [4, 4, 4, 4], [4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9], [4, 4, 8]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 8]]
[[9], [9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 9], [9], [4, 9], [8], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [], [], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [4, 4, 4]]
[[9], [], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4], [4, 4]]
[[9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [8], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [], [9], [4]]
[[9], [9], [9], [], [9], [9], [9], [9], [4], [4, 4], [], [9], [8], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9]]
-EndAllocation

Instance: [[1], [160], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4], [7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 6, 8, 8, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8]]
[[], [6, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9], [4, 4, 7, 9, 9, 9], [4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9, 9], [7, 9, 9, 9], [6, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 6, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9]]
[[], [8, 9, 9], [8, 9, 9], [7, 9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [6, 9]]
[[], [9, 9], [4, 4, 8, 8], [7, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [6, 9], [7, 9], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 9], [4, 8, 8], [9, 9], [4, 6, 7], [], [9, 9]]
[[], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [8, 8], [9], [6, 9], [9, 9]]
[[9], [9], [9], [4, 4, 4, 4], [8, 9], [9], [9], [9], [9], [7, 9], [4, 4, 4, 4], [8, 9], [6, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [8, 8], [9], [9], [9], [7, 9], [4, 4, 4, 4], [6, 9], [9], [9]]
[[8], [4, 9], [4, 9], [9], [9], [4, 9], [9], [6, 7], [8], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [8], [4, 9], [8], [6], [9], [4, 4, 4], [4, 7], [9], [4, 9], [9], [4, 9]]
[[9], [6], [9], [9], [4, 8], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [8], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [6], [4, 7], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [], [8], [9]]
[[9], [4, 4, 4], [9], [9], [9], [], [8], [9], [9], [9], [4, 6], [4, 4, 4], [9], [9], [9], [7], [9], [], [4, 8]]
[[9], [6], [9], [9], [9], [], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9], [4, 4], [4, 4], [7], [8], [4, 4]]
[[9], [9], [9], [9], [4, 4], [8], [4, 4], [9], [7], [9], [4, 4], [], [9], [6], [9], [4, 4], [9], [8], [9], [9], []]
[[9], [9], [9], [8], [], [], [9], [7], [], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [8], [4, 6], [4], [9]]
[[9], [9], [4, 4], [9], [9], [8], [9], [9], [8], [], [7], [4, 4], [9], [4, 4], [6], [], [], [9], [9], [4, 4], [9], [], [9]]
-EndAllocation

Instance: [[1], [159], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[7, 7, 9, 9, 9, 9, 9], [3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8]]
[[6, 7, 7], [3, 4, 5, 5, 6, 7, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [4, 5, 5, 7, 8, 8, 8, 8], [3, 6, 6, 6, 6, 6, 6, 7, 7]]
[[9, 9], [6, 6, 6, 6, 6, 6], [4, 5, 5, 7, 7, 7], [3, 8, 8, 8, 8], [8, 9, 9, 9]]
[[], [4, 8, 8, 8, 8], [3, 7, 7, 7, 8], [6, 6, 6, 6, 6, 6], [5, 5, 9], [9, 9, 9, 9]]
[[], [3, 9, 9, 9], [6, 6, 6, 6, 6], [4, 8, 8, 9], [8, 8, 8], [5, 5, 9], [6, 7, 7, 7]]
[[], [9, 9], [4, 7, 7, 8], [9, 9], [8, 8, 8], [5, 5, 6, 9], [3, 6, 6, 8], [6, 6, 6, 7]]
[[], [6, 6, 6, 6], [7, 8, 9], [6, 6, 7], [3, 5, 8, 8], [9, 9], [5, 9, 9], [7, 8], [4, 8]]
[[6], [3, 6, 7], [7, 9], [4, 8, 8], [8, 8], [7, 9], [6, 6, 6], [5, 5, 6], [9, 9], [8, 9]]
[[], [8, 9], [8], [3, 4, 8], [6, 6, 6], [7, 9], [6, 6, 6], [5, 5, 9], [8, 8], [7, 7], [9, 9]]
[[], [7, 7], [8], [8, 8], [8, 8], [6, 6, 6], [9, 9], [6, 6, 6], [3, 9], [7, 9], [4, 9], [5, 5]]
[[], [8, 8], [4, 9], [8, 9], [7, 7], [5, 5], [8, 9], [6, 6], [7, 9], [9], [6, 6], [3, 8], [6, 6]]
[[9], [9], [7, 9], [8, 8], [], [5, 5], [3, 4, 9], [6, 6], [8], [6, 6], [8, 8], [6, 6], [7, 7], [9]]
[[9], [6, 8], [4, 8], [6, 8], [6, 7], [8], [9], [8], [5, 5], [9], [6, 7], [9], [9], [6, 6], [3, 7]]
[[8], [9], [6, 7], [6, 6], [8], [5, 5], [8], [3, 9], [9], [8], [9], [4, 6], [6, 7], [6, 7], [8], [9]]
[[7], [5, 5], [6, 6], [9], [9], [8], [8], [7], [9], [6, 6], [3, 9], [8], [6, 6], [4, 8], [8], [7], [9]]
[[9], [6, 6], [8], [8], [6, 6], [], [3, 9], [8], [6, 6], [8], [5, 5], [8], [7], [7], [4, 7], [9], [9], [9]]
[[8], [9], [4, 8], [6, 6], [9], [3, 7], [8], [8], [9], [5, 5], [8], [7], [6, 6], [], [6, 6], [7], [9], [], [9]]
[[9], [9], [5, 5], [6], [6], [7], [4, 6], [9], [3, 6], [8], [8], [6], [8], [8], [8], [9], [9], [6], [7], [7]]
[[8], [8], [6], [6], [8], [6], [6], [8], [9], [9], [8], [9], [], [7], [5, 5], [4, 6], [9], [7], [6], [3, 7], [9]]
[[9], [7], [8], [], [6], [5, 5], [8], [3, 6], [9], [8], [6], [4], [6], [7], [6], [7], [9], [8], [9], [6], [9], [8]]
[[5], [6], [6], [6], [7], [8], [8], [], [9], [8], [3, 6], [7], [9], [8], [8], [9], [9], [5], [6], [6], [9], [4], [7]]
-EndAllocation

Instance: [[1], [158], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 8, 9, 9]]
[[9], [8, 8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 9, 9], [4, 4, 4, 4], [4, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 8, 8, 8], [4, 8, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [9, 9], [8, 9, 9], [4, 4, 4, 9]]
[[], [8], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [8, 8, 8], [4, 9, 9]]
[[], [8, 8], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [], [4, 8, 8], [8, 8], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [8, 8], [8, 8], [4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 4, 4], [8, 8], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 8], [4, 9]]
[[9], [9], [9], [8, 8], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [8, 8], [4, 9], [9], [9], [9], [9]]
[[9], [8], [4, 4, 4], [4, 8], [9], [9], [4, 9], [4, 8], [4, 9], [4, 9], [4, 8], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [9], [8], [8], [8], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [8], [9], [8], [4, 4], [9], [9], [8], [9], [4, 4, 4], [4, 8], [9], [9]]
[[9], [9], [8], [9], [4, 4, 4], [], [9], [8], [9], [9], [9], [8], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9]]
[[8], [9], [4, 4, 4], [], [9], [], [4, 8], [], [9], [9], [4, 8], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [8], [4, 4], [8], [9], [8], [8], [9], [4], [9], [], [9], [9]]
[[9], [4], [9], [9], [8], [4, 4], [4, 4], [8], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [4, 4], [], [8], [9]]
[[9], [9], [8], [], [], [4, 4], [8], [4, 4], [9], [8], [9], [4, 4], [4], [], [9], [9], [4, 4], [9], [9], [9], [9], [8]]
[[9], [9], [], [], [], [8], [8], [9], [9], [4, 4], [4, 4], [9], [9], [8], [8], [9], [4, 4], [], [9], [4], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [157], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[3, 8, 8], [3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9], [3, 3, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 9]]
[[9], [8, 8, 9, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [3, 3, 9], [3, 3, 3, 3, 3, 3, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [3, 9, 9, 9], [8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [3, 3, 3, 3, 3, 3, 3, 3], [9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [8, 8], [9, 9]]
[[], [3, 3, 3, 3, 3, 3, 3], [9, 9], [3, 9, 9], [8, 8], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [3, 3, 3, 3, 3, 3], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [3, 3, 9], [9, 9]]
[[], [9, 9], [], [8, 8], [9, 9], [], [3, 3, 9], [9, 9], [3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [9, 9]]
[[9], [9], [9], [8, 9], [3, 3, 9], [3, 3, 9], [9], [9], [9], [3, 3, 9], [9], [8, 9], [3, 3, 9]]
[[9], [3, 3, 9], [9], [8, 8], [9], [9], [9], [3, 3, 9], [3, 3, 9], [9], [9], [3, 3, 9], [9], [9]]
[[9], [3, 3, 8], [9], [9], [9], [9], [9], [3, 3, 8], [9], [9], [3, 9], [9], [3, 9], [3, 9], [3, 9]]
[[8], [3, 9], [9], [9], [9], [9], [8], [3, 3, 3, 3], [9], [3, 9], [9], [9], [9], [9], [3, 9], [3, 9]]
[[9], [9], [9], [9], [9], [8], [3, 3, 3, 3], [9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [8], [9], [9]]
[[9], [9], [9], [9], [9], [], [3, 3, 3, 3], [8], [9], [9], [9], [8], [9], [9], [9], [3, 3, 3, 3], [9], [9]]
[[9], [9], [9], [], [9], [3, 3, 3, 3], [8], [], [3, 3, 3, 3], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [8], [9], [3, 3, 3], [9], [8], [3, 3], [9], [], [9], [9], [9], [], [3, 3, 3], [9]]
[[9], [9], [9], [9], [8], [], [3, 3, 3], [9], [3, 3], [9], [8], [9], [], [9], [9], [9], [9], [9], [], [3, 3, 3], [9]]
[[9], [9], [8], [], [], [9], [], [3, 3, 3], [9], [8], [3, 3], [9], [9], [9], [9], [3, 3, 3], [9], [9], [9], [9], [9], []]
[[9], [9], [], [], [], [9], [8], [3, 3, 3], [9], [9], [3, 3, 3], [9], [9], [3, 3], [8], [9], [9], [9], [9], [], [9], [], [9]]
-EndAllocation

Instance: [[1], [156], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8]]
[[9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [7, 7, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 4, 8, 8, 9, 9]]
[[], [7, 7, 9, 9], [8, 8, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 8], [9, 9]]
[[9], [9, 9], [7, 7, 8], [4, 4, 4, 9], [9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [7, 7, 8], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 7, 7], [9, 9], [8, 8], [9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9], [9, 9], [7, 7]]
[[9], [4, 4, 4, 4], [9], [8, 9], [9], [4, 9], [9], [7, 7], [9], [8, 9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [7, 7], [8, 8], [4, 4, 4, 4]]
[[9], [9], [9], [9], [8, 8], [4, 4, 4, 4], [9], [9], [7, 9], [9], [9], [9], [4, 4, 4, 4], [4, 7]]
[[9], [9], [9], [7, 7], [9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [9], [8], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [7], [9], [9], [4, 7], [9], [9], [8], [4, 9], [9], [8], [9]]
[[8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [4, 4], [8], [4, 4, 4], [4, 7], [9], [9], [9]]
[[], [9], [9], [8], [4, 4, 4], [9], [8], [9], [7], [7], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[7], [9], [9], [9], [9], [7], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [], [8], [9]]
[[9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [7], [9], [4], [9], [9], [9], [4, 4], [8], [9], [], [9], [7], [8]]
[[7], [9], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [7], [9], [8], [], [4], [8], [9], [9], [9], [4, 4], [4, 4]]
[[7], [4, 4], [], [9], [], [9], [9], [4, 4], [9], [4], [9], [9], [8], [9], [9], [9], [8], [4, 4], [4, 4], [9], [], [7]]
[[8], [9], [4, 4], [8], [], [], [9], [9], [4, 4], [7], [9], [9], [4, 4], [], [4], [9], [9], [9], [7], [], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [155], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,23. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,23:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 9], [3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 3, 3, 3, 3, 3], [3, 3, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 7, 9, 9]]
[[8], [9, 9, 9, 9], [3, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 7, 8], [9, 9, 9, 9]]
[[], [7, 9, 9, 9], [8, 8, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3], [7, 8, 8], [9, 9, 9]]
[[9, 9], [9, 9], [7, 8, 8], [9, 9], [3, 3, 3, 3, 3, 3, 3, 3], [9, 9], [9, 9], [9, 9]]
[[9], [8, 8], [3, 3, 3, 3, 3, 3, 3, 3], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [7], [3, 3, 3, 3, 3, 3, 3], [8, 8], [9, 9], [9, 9], [9, 9], [3, 9, 9], [9, 9]]
[[], [8, 8], [9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3], [], [3, 3, 9], [9, 9], [9, 9], [7, 9]]
[[9], [3, 3, 9], [9], [8, 9], [3, 3, 9], [3, 3, 9], [9], [7, 9], [3, 3, 9], [8, 9], [9], [9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [8, 8], [9], [9], [3, 3, 9], [9], [9], [7, 9], [9], [3, 3, 9]]
[[9], [9], [3, 3, 9], [3, 9], [8, 8], [9], [9], [9], [9], [9], [3, 3, 3, 3, 3], [9], [9], [7, 9]]
[[9], [3, 9], [3, 9], [3, 7], [3, 9], [9], [3, 3, 8], [8], [9], [9], [9], [3, 9], [9], [3, 9], [9]]
[[9], [9], [3, 9], [9], [7], [8], [3, 9], [9], [3, 9], [9], [3, 3, 3, 3], [9], [3, 9], [9], [8], [9]]
[[8], [9], [9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [9], [3, 3, 3], [3, 8], [9], [7], [9], [9], [9]]
[[], [9], [9], [9], [9], [9], [8], [9], [9], [7], [9], [3, 3, 3, 3], [9], [3, 3, 3, 3], [9], [8], [9], [9]]
[[7], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [3, 3, 3, 3], [3, 3, 3, 3], [], [8], [8]]
[[9], [9], [9], [3, 3], [9], [9], [], [7], [9], [3, 3, 3], [9], [3, 3, 3], [9], [9], [8], [9], [], [9], [9], [8]]
[[7], [9], [9], [9], [], [9], [], [9], [9], [3, 3, 3], [9], [9], [8], [3, 3], [], [8], [9], [9], [3, 3, 3], [9], [9]]
[[7], [8], [], [9], [3, 3, 3], [9], [9], [], [9], [9], [9], [], [8], [9], [3, 3, 3], [9], [3, 3], [9], [9], [9], [], [9]]
[[8], [9], [], [8], [], [], [9], [9], [9], [], [9], [9], [], [9], [3, 3, 3], [9], [9], [3, 3, 3], [7], [9], [9], [9], [3, 3]]
-EndAllocation

Instance: [[1], [168], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [7, 9, 9]]
[[9], [9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9]]
[[], [9, 9], [7, 9], [4, 4, 4, 4], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [8, 9], [], [4, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [4, 9], [8, 9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [9], [9], [4, 9], [9], [4, 9], [7, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [9], [7, 8], [9]]
[[9], [4, 7], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [8]]
[[9], [8], [7], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [4], [4, 7], [4, 9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [8], [7], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [], [7], [9], [4, 4, 4], [9], [9], [8], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [4], [9], [8], [7], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [], [9], [9]]
[[9], [9], [9], [9], [9], [4], [4, 4], [9], [9], [9], [9], [9], [9], [8], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [7]]
[[7], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [8], [9], [4], [4, 4], [9], [9], [9], [9], [], [4, 4], [9]]
[[7], [9], [9], [9], [], [9], [], [9], [9], [4, 4], [4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [8], [], [], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [167], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9]]
[[9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9]]
[[9], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [7, 7], [4, 4, 4, 4], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [9, 9], [], [4, 9], [9, 9], [9, 9]]
[[9], [4, 9], [9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [7, 9], [9], [9], [9], [4, 9], [7, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [9], [7, 7], [9]]
[[9], [7, 7], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [7], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [4, 9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [7], [4], [4, 7], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [9], [7]]
[[9], [7], [9], [4, 4, 4], [], [7], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4], [9], [9], [9], [9], [], [9], [4, 4], [7], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [7], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [7], [9], [9], [4, 4], [], [4, 4], [4, 4], [], [9], [9], [4], [7]]
[[7], [9], [4, 4], [9], [9], [7], [9], [9], [9], [9], [], [4], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [9]]
[[7], [9], [9], [9], [], [9], [], [9], [9], [4, 4], [4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [], [], [7], [9], [9], [9]]
-EndAllocation

Instance: [[1], [166], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9]]
[[9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9]]
[[9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9], [7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 9], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [7, 7, 9]]
[[9], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9]]
[[], [9, 9], [7, 7], [4, 4, 4, 4], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [8, 9], [], [4, 9], [9, 9], [9, 9]]
[[9], [4, 9], [9], [9], [4, 4, 4, 4], [7, 9], [9], [4, 4, 9], [9], [8, 9], [7, 9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [8], [7, 9], [9], [9], [9], [4, 9], [7, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [9], [9], [9], [7, 9], [7, 8], [9]]
[[9], [7, 7], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8]]
[[9], [8], [7], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [4, 9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [7], [4], [4, 7], [4, 9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [8], [7], [9], [4, 4, 4], [9], [9], [9], [9], [7]]
[[9], [7], [9], [4, 4, 4], [], [7], [9], [4, 4, 4], [9], [9], [8], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [7], [9], [8], [7], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [], [4], [9]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4], [9], [7], [9], [9], [8], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [7]]
[[7], [9], [4, 4], [9], [9], [7], [9], [9], [], [9], [], [4, 4], [8], [9], [4], [4, 4], [9], [9], [9], [9], [], [4, 4], [9]]
[[7], [9], [9], [9], [], [9], [], [9], [9], [4, 4], [4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [8], [], [], [7], [9], [9], [9]]
-EndAllocation

Instance: [[1], [165], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9], [9], [4, 4, 4, 4, 4, 8]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9]]
[[], [9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 9], [8, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [9, 9], [4, 4, 9], [9, 9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 9], [9, 9], [], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [8], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 8], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [4, 4], [4, 9], [], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4], [], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4], [4, 4, 4], [], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [8]]
[[9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [9], [9], [4, 4], [], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [8], [9], []]
[[9], [9], [4, 4], [9], [], [8], [], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [164], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9]]
[[8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9]]
[[], [9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 9], [8, 8], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9]]
[[], [9, 9], [4, 4, 9], [9, 9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9]]
[[9], [8, 9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [8, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [8], [4, 8], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [9], [9], [4, 9], [4, 8], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [], [9], [4, 9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 8], [9], [4, 4, 4], [4, 9], [], [9], [4, 9]]
[[9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4], [], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4], [4, 4, 4], [], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [4, 4], [9], [], [9], [8]]
[[9], [9], [9], [9], [8], [9], [8], [9], [9], [9], [9], [], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [], [9], [4, 4], [], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [4, 4], [4, 4], [9], [8], [9], []]
[[9], [9], [4, 4], [9], [], [8], [8], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [163], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 8, 8, 8]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9]]
[[], [9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 9], [8, 8], [8, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [8, 9]]
[[], [9, 9], [4, 4, 8], [9, 9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9]]
[[9], [8, 8], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [8, 9], [9]]
[[9], [9], [9], [9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [8, 8], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [8], [9], [8], [4, 8], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [9], [9], [4, 9], [4, 8], [4, 4, 4], [4, 4, 4], [8]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [8], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [], [9], [4, 9], [9], [9], [4, 4, 4], [8], [8], [9], [4, 8], [9], [4, 4, 4], [4, 9], [], [9], [4, 9]]
[[9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4], [8], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4], [4, 4, 4], [], [9], [8], [], [4, 4, 4], [4, 4, 4], [9], [9]]
[[8], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [4, 4], [9], [], [9], [8]]
[[9], [9], [9], [9], [8], [9], [8], [9], [8], [9], [9], [], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [8], [4, 4], [9], [8], [], []]
[[9], [9], [4, 4], [9], [], [8], [8], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [9], [], [9], [9], [], [8], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [162], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,24. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,24:
-StartAllocation
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9]]
[[8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 8, 8, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8]]
[[], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 9, 9], [4, 4, 9, 9]]
[[], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 8, 8]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 7]]
[[], [7], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 9], [8, 8], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9]]
[[], [9, 9], [4, 4, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [9, 9], [7], [9, 9], [9, 9]]
[[9], [8, 8], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [7, 9], [9]]
[[9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [7, 9], [8, 8], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9]]
[[9], [4, 7], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [8], [4, 8], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [9], [7], [4, 9], [4, 8], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [7]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 8], [9], [4, 4, 4], [9], [], [7], [4, 4, 4]]
[[9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4], [7], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4], [4, 4, 4], [], [9], [], [9], [4, 4, 4], [4, 4, 4], [7], [9]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [7], [9], [8], [4, 4], [9], [4, 4], [9], [], [9], [8]]
[[9], [9], [9], [9], [8], [9], [8], [9], [9], [9], [9], [], [], [4, 4], [4, 4], [], [9], [4, 4], [4, 4], [4, 4], [9], [7]]
[[9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [7], [9], [9], [9], [4, 4], [8], [4, 4], [4, 4], [9], [8], [], []]
[[9], [9], [4, 4], [9], [], [8], [8], [9], [4, 4], [9], [], [4, 4], [7], [], [9], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [175], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 5, 5, 6, 6, 8, 8, 9, 9], [2, 3, 6, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8], [2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[6, 6], [4, 9, 9, 9, 9, 9, 9], [2, 5, 5, 6, 8, 8, 9, 9], [3, 7, 7, 7, 7, 7, 7, 8]]
[[9], [7, 7, 7, 7, 7, 7], [2, 3, 8, 9, 9, 9], [4, 6, 6, 6, 8, 8], [5, 5, 9, 9, 9, 9]]
[[8], [3, 4, 5, 5, 9, 9], [2, 6, 6, 6, 7, 8], [8, 9, 9], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[8], [3, 8, 9], [6, 9, 9, 9], [9, 9, 9], [4, 6, 7, 7, 7], [5, 5, 7, 9], [2, 6, 7, 7, 8]]
[[], [6, 6, 6, 8], [8, 9], [2, 5, 5, 8, 9], [4, 7, 7, 7], [9, 9, 9], [9, 9, 9], [3, 7, 7, 7]]
[[], [4, 8, 8], [9, 9], [2, 5, 6, 6, 6], [9, 9], [7, 7, 8], [7, 9, 9], [3, 5, 9, 9], [7, 7, 7]]
[[], [9, 9], [5, 5, 8], [3, 7, 7, 7], [2, 9, 9], [7, 8, 8], [6, 6, 6], [7, 7], [4, 9, 9], [9, 9]]
[[], [9, 9], [5, 5], [6, 6, 6], [7, 7, 7], [2, 9, 9], [8, 8], [3, 7, 9], [8, 9], [4, 7, 7], [9, 9]]
[[], [7, 7], [9, 9], [9, 9], [7, 9], [2, 6, 6, 6], [4, 5, 5], [3, 9], [8, 8], [7, 7], [9, 9], [7, 8]]
[[9], [9, 9], [2, 6, 6], [9], [4, 9], [9, 9], [7, 7], [7, 7], [7, 7], [5, 5], [6, 8], [3, 9], [8, 8]]
[[9], [8, 9], [6, 9], [6], [2, 5, 5], [7, 7], [7, 7], [6, 8], [7, 9], [3, 8], [9], [9], [4, 9], [7, 9]]
[[9], [9], [7, 9], [8, 8], [6, 6], [7, 9], [7, 7], [5, 5], [2, 8], [9], [3, 6], [9], [7, 7], [9], [4, 9]]
[[9], [8], [6], [5, 9], [7, 7], [4, 8], [3, 9], [9], [9], [9], [7, 7], [9], [6, 6], [2, 8], [7, 7], [5, 9]]
[[9], [7, 7], [3, 8], [4, 9], [9], [8], [6, 7], [7, 7], [6, 6], [2, 9], [9], [7], [9], [8], [5, 5], [9], [9]]
[[9], [9], [5, 7], [9], [7], [7], [9], [6, 7], [8], [6, 6], [8], [3, 9], [9], [9], [5, 7], [9], [2, 7], [4, 8]]
[[9], [5, 5], [9], [4, 7], [8], [6, 7], [3, 7], [9], [9], [8], [6, 6], [9], [9], [7], [9], [2, 8], [7], [9], [7]]
[[7], [2, 9], [6, 6], [7], [9], [6], [8], [8], [9], [9], [9], [7], [9], [9], [5, 7], [4, 7], [9], [7], [3, 5], [8]]
[[9], [9], [8], [4], [7], [9], [8], [5], [5, 7], [9], [8], [9], [7], [7], [7], [2, 7], [9], [6, 6], [3, 9], [9], [6]]
[[6], [2, 7], [8], [3, 7], [6], [9], [9], [6], [9], [9], [4], [7], [5, 5], [7], [9], [9], [7], [7], [8], [9], [9], [8]]
[[7], [8], [9], [9], [9], [7], [9], [8], [6], [9], [6], [9], [4], [7], [3, 7], [9], [8], [6], [5, 5], [7], [7], [9], [2]]
[[7], [9], [7], [8], [], [9], [9], [5, 5], [9], [6], [3, 7], [9], [9], [], [7], [4, 6], [6], [8], [9], [9], [], [8], [7], [2, 7]]
[[7], [3, 6], [9], [2, 7], [5], [4], [9], [7], [9], [6], [9], [], [7], [], [6], [7], [8], [8], [8], [5], [9], [7], [9], [9], [9]]
-EndAllocation

Instance: [[1], [174], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[8], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 9], [8, 9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [8, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4], [4, 4, 4, 4], [], [9, 9], [9, 9], [8, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [4, 9], [4, 9], [9]]
[[9], [8], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [9], [8]]
[[9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [4, 8], [], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [8], [9], [9], [4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4]]
[[9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [], [9], []]
[[9], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [], [4, 4], [], [9], [9], [9], [], [4, 4]]
[[], [4, 4], [9], [8], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [173], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 8], [3, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8], [3, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8], [4, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 8, 9, 9, 9], [3, 3, 3, 6, 6, 7, 7, 8, 8]]
[[9], [7, 9, 9, 9, 9], [3, 3, 3, 7, 8, 8, 9], [4, 6, 6, 6, 8, 8], [5, 5, 5, 9, 9, 9]]
[[], [3, 3, 4, 5, 5, 5, 9], [6, 6, 6, 9, 9], [3, 8, 8, 9, 9], [7, 7, 8, 8], [9, 9, 9, 9]]
[[8], [3, 3, 8], [6, 9, 9, 9], [3, 9, 9, 9], [4, 7, 9, 9], [5, 5, 5, 8, 9], [6, 6, 7, 8]]
[[], [6, 6, 6], [3, 8, 8, 9], [5, 5, 5, 9], [4, 7, 8, 8], [9, 9, 9], [9, 9, 9], [3, 3, 7, 9]]
[[], [4, 8, 8], [9, 9], [3, 5, 5, 5, 6], [9, 9], [8, 8, 9], [7, 9, 9], [3, 3, 9, 9], [6, 6, 7]]
[[], [5, 9, 9], [3, 5, 8, 8], [3, 3, 7, 7], [9, 9], [8, 8], [6, 6, 6], [9], [4, 9, 9], [5, 9, 9]]
[[], [9, 9], [5, 5, 5], [4, 6, 9], [7, 9], [9, 9], [8, 8], [3, 3, 9], [8, 8], [3, 7, 9], [6, 6, 9]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [3, 3, 6], [4, 5, 5, 5], [3, 6, 6], [7, 8], [7], [9, 9], [8, 8]]
[[], [9, 9], [6, 9], [8, 9], [4, 9], [9, 9], [], [7, 9], [7, 8], [5, 5, 5], [8, 8], [3, 3, 3, 9], [6, 6]]
[[9], [8, 9], [3, 9], [6, 6], [5, 5, 5], [7, 9], [7], [6, 8], [8, 9], [3, 3, 8], [9], [9], [4, 9], [9]]
[[9], [9], [7, 9], [8, 8], [6, 6], [9], [7, 9], [5, 5, 5], [8, 8], [9], [3, 3, 6], [3, 9], [], [9], [4, 9]]
[[9], [8], [3, 3, 7], [5, 8], [9], [6, 8], [3, 9], [9], [9], [9], [9], [9], [6, 7], [6, 8], [9], [4, 5, 5]]
[[9], [5, 7], [3, 3, 8], [4, 9], [9], [8], [6, 8], [3, 7], [6, 6], [9], [9], [9], [9], [8], [5, 5], [9], [9]]
[[9], [9], [9], [9], [6, 7], [3, 5, 5], [8], [8], [9], [6, 6], [8], [3, 3], [9], [9], [9], [9], [5, 7], [4, 8]]
[[9], [3, 5, 5], [9], [4], [8], [6, 6], [3, 3, 7], [9], [9], [8], [6], [9], [9], [7], [9], [5, 8], [8], [9], [9]]
[[9], [9], [6], [7], [3, 9], [6, 6], [8], [8], [9], [9], [9], [7], [9], [8], [5, 5], [4], [9], [9], [3, 3, 5], [8]]
[[9], [9], [8], [4], [], [9], [8], [5, 5], [5, 7], [9], [8], [8], [9], [7], [9], [9], [9], [6, 6], [3, 3], [3, 9], [6]]
[[8], [9], [8], [3, 3], [6], [6], [9], [6], [9], [9], [4], [7], [5, 5], [9], [5], [9], [3, 7], [9], [8], [9], [9], [8]]
[[8], [8], [8], [9], [9], [7], [9], [5], [6], [9], [6], [9], [4], [9], [3, 3], [8], [3], [6], [5, 5], [7], [9], [9], [9]]
[[9], [9], [4], [8], [5], [9], [3], [5, 5], [9], [6], [3, 3], [9], [9], [8], [7], [6], [6], [8], [9], [9], [], [8], [9], [7]]
[[7], [3, 3], [9], [9], [5], [4], [8], [9], [9], [6], [9], [], [7], [6], [6], [3], [8], [8], [8], [5], [9], [9], [9], [5], [9]]
-EndAllocation

Instance: [[1], [172], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[2, 4, 6, 6, 6, 8, 8, 9, 9, 9, 9, 9], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
[[2, 4, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 6, 6, 6, 9, 9, 9, 9, 9]]
[[2, 4, 7, 7, 7, 8, 8, 9], [6, 6, 6, 9, 9, 9, 9], [5, 5], [7, 7, 7, 7, 7, 7, 7, 7]]
[[2, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5], [7, 7, 7, 7, 7, 7], [4, 6, 6, 6, 8, 8]]
[[2, 7, 7, 7, 7], [9, 9, 9, 9], [7, 7, 7, 7, 7], [4, 7, 7], [6, 6, 6, 8, 8], [5, 5, 9]]
[[2, 7, 7, 7], [7, 7, 7, 7], [5, 7, 7, 7, 7], [], [9, 9, 9], [5, 8, 8, 9], [4, 6, 6, 6, 9]]
[[2, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7, 7], [8, 8], [4, 6, 6, 6], [9, 9, 9], [5, 5], [9, 9]]
[[2, 6, 7, 7], [7, 7, 7], [5, 5, 7, 9], [6, 6, 7, 7], [8, 8], [], [9, 9], [7, 7, 7], [4, 9, 9]]
[[2, 7, 7], [7, 7, 7], [7, 7, 7], [4], [5, 9, 9], [8, 8], [7, 7, 7], [5, 6, 6, 6], [9], [9, 9]]
[[2, 4, 7, 7], [7, 7, 7], [7, 7, 7], [9, 9], [], [6, 6, 6], [5, 5], [7, 7, 7], [8, 8], [9], [9, 9]]
[[2, 4, 7], [7, 7], [7, 7], [6, 7, 7], [5, 5], [9, 9], [6, 7, 7], [9, 9], [], [9], [6, 7, 7], [8, 8]]
[[2, 7, 9], [7, 7], [7, 7], [7, 7], [4, 7, 7], [9, 9], [], [5, 5], [], [8, 8], [7, 7], [9, 9], [6, 6, 6]]
[[2, 7, 7], [7, 7], [7, 7], [7, 7], [7, 7], [6, 9], [6, 7], [9], [8, 8], [], [9], [6, 9], [5, 5], [4, 9]]
[[2, 7], [7, 7], [7, 7], [7, 7], [7, 7], [6, 9], [4, 9], [6, 6], [5, 5], [7, 7], [9], [9], [], [9], [8, 8]]
[[2, 4, 7], [7, 7], [7, 7], [7, 7], [6, 6], [8], [7, 7], [5, 5], [9], [7], [9], [9], [8], [9], [9], [6, 7]]
[[2, 7], [7, 7], [7, 7], [7, 7], [9], [9], [7, 7], [], [6, 8], [9], [], [9], [5, 5], [7, 7], [8], [6, 6], [4, 9]]
[[5, 8], [6, 7], [6, 7], [6, 7], [7], [7], [7], [7], [8], [7], [7], [9], [5, 7], [7], [9], [9], [4, 9], [2, 9]]
[[2, 9], [7], [7], [9], [9], [7], [8], [7], [6, 7], [7], [8], [5, 7], [7], [5, 7], [9], [7], [7], [4, 9], [6, 6]]
[[2, 9], [7], [7], [7], [9], [4, 7], [7], [7], [8], [9], [7], [6, 6], [7], [7], [8], [9], [7], [5, 7], [9], [5, 6]]
[[2, 9], [9], [7], [7], [7], [7], [9], [7], [7], [8], [7], [6, 6], [9], [], [4, 7], [8], [5, 6], [7], [7], [5, 7], [9]]
[[2, 7], [7], [7], [7], [7], [9], [7], [6], [7], [6], [7], [7], [8], [9], [8], [7], [5, 5], [9], [9], [4, 6], [9], [7]]
[[2, 7], [5, 5], [7], [7], [7], [7], [7], [7], [7], [9], [9], [9], [6], [9], [4], [9], [8], [6], [6], [7], [7], [8], [7]]
[[2, 4], [7], [7], [7], [7], [6], [7], [7], [7], [7], [7], [9], [7], [9], [7], [8], [8], [9], [], [5, 5], [6], [6], [9], [9]]
[[2, 7], [7], [7], [7], [7], [7], [7], [7], [7], [9], [], [6], [6], [9], [6], [5], [8], [], [7], [4, 5], [9], [9], [7], [9], [8]]
-EndAllocation

Instance: [[1], [171], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [2, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[2, 7, 7, 7, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 9, 9, 9, 9, 9, 9]]
[[2, 8, 8, 8, 8, 9], [9, 9], [4, 4, 7, 7, 7, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 6, 6, 9, 9], [4, 4, 9, 9, 9, 9], [8, 8, 8, 8], [7, 7, 7], [6, 6, 6, 6, 6, 6, 6]]
[[2, 4, 4, 6, 6, 6], [8, 8, 8, 8], [7, 7, 7], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [9, 9]]
[[2, 4, 4, 6, 6, 6], [6, 6, 6, 6, 6], [9, 9, 9], [], [8, 8, 8, 8], [9, 9, 9], [6, 7, 7, 7]]
[[2, 4, 4, 6], [7, 7, 7, 8], [6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6], []]
[[2, 4, 4, 6, 9], [9, 9], [], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7], [8, 9], [6, 6, 6, 6], [9, 9]]
[[2, 4, 4, 6], [8, 8, 8], [6, 6, 6, 6], [9, 9], [6, 6, 6, 6], [9, 9], [7, 7, 7], [], [8], [9, 9]]
[[2, 4, 4], [6, 6, 6], [6, 6, 6], [6, 6, 6], [], [9, 9], [8, 8], [7, 7, 7], [8, 8], [9, 9], [9, 9]]
[[2, 9, 9], [6, 6, 6], [6, 6, 6], [4, 4], [9, 9], [9, 9], [6, 6, 6], [8, 8], [], [7], [7, 7], [8, 8]]
[[2, 7, 7], [6, 6, 6], [6, 6, 6], [6, 6, 6], [8, 8], [9, 9], [], [9, 9], [], [8, 8], [9, 9], [], [4, 4, 7]]
[[2, 4, 9], [4, 6, 6], [6, 6], [6, 9], [6, 6], [6, 6], [7, 7], [], [8, 8], [9], [9], [7, 9], [8, 8], [9]]
[[2, 6], [6, 6], [6, 6], [6, 6], [6, 6], [9], [8, 8], [9], [9], [9], [8, 8], [9], [9], [7, 7], [4, 4, 7]]
[[2, 6, 6], [4, 9], [6, 6], [9], [9], [4, 9], [6, 6], [9], [7], [8], [8], [8], [6, 8], [9], [7, 7], [6, 6]]
[[2, 6, 6], [6, 6], [9], [6, 6], [6, 6], [6], [7, 7], [9], [8], [9], [9], [8], [9], [8], [8], [4, 9], [4, 7]]
[[6, 6], [6, 6], [6, 7], [6, 6], [6, 6], [4, 4], [8], [9], [9], [8], [9], [9], [9], [9], [8], [8], [2, 7], [7]]
[[2, 8], [6], [6, 6], [6, 6], [6, 6], [9], [9], [9], [8], [9], [9], [6, 6], [8], [8], [7], [9], [7], [7], [4, 4]]
[[2, 4, 6], [9], [6, 6], [6, 6], [6, 6], [6, 6], [8], [], [9], [9], [8], [9], [8], [], [9], [8], [9], [7], [7], [4, 7]]
[[2, 9], [6], [6, 6], [6, 6], [6, 6], [6, 6], [9], [], [], [8], [7], [7], [8], [8], [9], [9], [4, 4], [9], [7], [9], [8]]
[[9], [2, 7], [8], [4, 6], [6], [6], [6], [4, 6], [6], [9], [8], [7], [7], [6], [9], [9], [6], [9], [9], [8], [6], [8]]
[[2, 4, 4], [7], [6], [6], [6], [6], [6], [7], [6], [6], [6], [9], [6], [9], [9], [7], [9], [9], [9], [8], [8], [8], [8]]
[[2, 4, 4], [6], [6], [6], [6], [7], [7], [6], [6], [6], [7], [9], [8], [], [9], [9], [9], [9], [9], [6], [8], [8], [6], [8]]
[[2, 6], [6], [6], [6], [6], [], [9], [], [8], [6], [6], [8], [4, 4], [6], [7], [8], [9], [9], [9], [9], [7], [6], [8], [9], [7]]
-EndAllocation

Instance: [[1], [170], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9], [4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [9, 9]]
[[], [9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], []]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4], [], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [], [4, 4, 4], [9], [9]]
[[9], [], [9], [9], [9], [9], [9], [], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [9], [], [9], [9], [4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4]]
[[9], [9], [], [9], [9], [9], [4, 4], [9], [9], [4], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9]]
[[9], [4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [], [], [4, 4], [9], [9], [4, 4], [9], [], [], [9], [4, 4], [9]]
[[9], [9], [9], [4], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [169], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,25. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 8, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [8, 9, 9]]
[[9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9], [4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 8], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [8], [4, 9], [9], [4, 9], [4, 9], [9]]
[[9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [8]]
[[9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [8], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4, 4]]
[[9], [9], [8], [], [4, 4], [4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], []]
[[], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [4], [9], [9], [8], [], [9], [9], [9], [9]]
[[9], [9], [9], [9], [8], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [4], [], [], [9], [4, 4]]
[[], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [], [8], [4, 4], [9], [4], [], [9], [4, 4], [9], [], [9], [9], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [182], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8], [3, 3, 6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8], [3, 3, 4, 6, 6, 6, 6], [7, 7, 7, 8, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 7], [3, 7, 7, 7, 7, 7, 7, 7, 7], [3, 9, 9, 9, 9, 9], [4, 8, 8, 8, 8, 8]]
[[3, 3, 6, 6, 6, 6, 7, 7], [7, 7, 7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8], [4, 9, 9, 9, 9, 9]]
[[3, 3, 7, 7, 7, 7], [7, 7, 7, 7, 7], [9], [4, 9, 9, 9, 9], [8, 8, 8, 8, 8], [6, 6, 6, 6]]
[[3, 3, 4, 7, 8], [7, 7, 7, 7], [7, 7, 7, 7], [9], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 9]]
[[7, 7, 7, 7], [7, 7, 7, 7], [7], [4, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6], [3, 3, 8, 8], [9, 9]]
[[3, 3, 4, 7, 7], [6, 6, 6, 6], [7, 7, 7], [8, 8, 8], [9, 9, 9], [8, 8], [], [7, 7, 7, 7], [9, 9]]
[[3, 3, 4, 7, 7], [7, 7, 7], [7, 9], [8, 8], [], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7], [9, 9], [9, 9]]
[[3, 3, 4, 6], [7, 7, 7], [7, 7, 7], [8, 9], [], [6, 6, 6], [9, 9], [7, 7, 7], [8, 8], [9, 9], [8, 8]]
[[7, 7, 7], [7, 7], [3, 3, 8], [], [7, 9], [9, 9], [7, 9], [8, 8], [8, 8], [6, 9], [6, 6, 6], [4, 7, 7]]
[[3, 3, 4, 7], [8, 8], [7, 7], [6, 7], [7, 7], [8, 8], [7], [8], [9], [7, 7], [9, 9], [9, 9], [6, 6, 6]]
[[3, 7, 7], [3, 7, 7], [4, 7], [7, 7], [6, 9], [], [7, 9], [8, 8], [6, 6], [9], [8, 8], [8, 9], [6, 9], [7]]
[[3, 3, 7], [7, 7], [7, 7], [7, 7], [8, 8], [7], [6, 9], [8, 8], [7, 9], [9], [6, 6], [6, 9], [], [4], [8, 9]]
[[7, 7], [3, 3, 9], [7, 7], [7, 7], [4, 6, 6], [9], [7], [9], [8], [7, 7], [9], [], [8, 8], [9], [6, 6], [8, 8]]
[[6, 8], [6, 7], [7, 7], [7, 7], [7, 7], [9], [9], [4, 9], [8], [8], [3, 3], [6, 6], [9], [8], [8], [7, 7], [9]]
[[3, 3, 4], [7], [7, 7], [7, 7], [7, 7], [9], [], [6, 8], [8], [9], [9], [8], [7, 7], [6, 8], [6, 6], [8], [9], [9]]
[[4, 8], [6, 7], [6, 7], [3, 3, 7], [8], [6, 7], [9], [6, 7], [9], [7], [8], [7], [7], [9], [8], [9], [8], [9], [7]]
[[8], [6, 7], [4, 7], [7], [6, 7], [8], [8], [7], [9], [9], [6], [9], [6, 7], [7], [7], [9], [9], [8], [8], [3, 3, 7]]
[[4, 7], [3, 9], [3, 7], [6, 6], [7], [8], [7], [9], [6, 6], [7], [8], [9], [7], [8], [8], [9], [8], [7], [7], [7], [9]]
[[3, 7], [3, 7], [8], [8], [7], [6, 6], [7], [7], [7], [7], [8], [7], [9], [4, 8], [9], [8], [], [9], [9], [7], [9], [6, 6]]
[[3, 6], [6], [7], [7], [7], [7], [4, 6], [8], [7], [9], [9], [9], [7], [8], [7], [7], [8], [8], [9], [8], [9], [6], [3, 7]]
[[7], [8], [7], [7], [6], [7], [9], [6], [7], [7], [7], [9], [8], [9], [8], [3, 6], [8], [7], [7], [9], [9], [8], [3, 6], [4]]
[[3, 3, 4], [7], [7], [6], [7], [7], [7], [7], [6], [9], [9], [7], [9], [7], [7], [8], [8], [9], [9], [6], [6], [8], [8], [], [8]]
[[9], [7], [6], [7], [7], [8], [7], [], [7], [9], [8], [9], [4], [6], [7], [8], [8], [8], [6], [7], [7], [9], [7], [9], [3, 3], [6]]
-EndAllocation

Instance: [[1], [181], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 9], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8]]
[[9, 9, 9], [3, 3, 3, 3, 5, 5, 6, 7, 8, 8, 9, 9, 9], [3, 4, 6, 9, 9, 9, 9, 9, 9, 9]]
[[], [3, 6, 7, 8, 8, 9, 9, 9], [3, 3, 3, 3, 4, 9, 9, 9, 9, 9], [5, 5, 6, 9, 9, 9, 9, 9]]
[[], [6, 6, 7, 9, 9, 9], [3, 5, 5, 9, 9, 9, 9], [3, 3, 3, 3, 4, 8, 8, 9], [9, 9, 9, 9, 9]]
[[], [3, 3, 3, 3, 4, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 6, 6, 7, 8], [3, 9, 9, 9, 9]]
[[], [4, 6, 9, 9], [6, 9, 9, 9], [9, 9, 9], [3, 9, 9, 9], [3, 3, 3, 3, 9, 9], [5, 5, 7, 8, 8]]
[[], [8, 8, 9], [3, 3, 3, 3, 3, 5, 5], [9, 9, 9], [9, 9, 9], [7, 9, 9], [4, 6, 9, 9], [6, 9, 9]]
[[], [5, 5], [4, 9, 9], [3, 3, 3, 3, 7, 9], [9, 9, 9], [9, 9, 9], [3, 8, 8, 9], [6, 9, 9], [6, 9]]
[[], [9, 9], [3], [8, 8, 9], [6, 9, 9], [6, 9, 9], [9, 9], [4, 5, 5, 9], [3, 3, 3, 3, 9], [7, 9, 9]]
[[], [8, 8], [5, 5, 6], [3, 3, 3, 3, 6], [3, 9, 9], [9, 9], [4, 9, 9], [9, 9], [7, 9], [9, 9], [9, 9]]
[[], [9, 9], [6], [9, 9], [3, 7, 8], [6, 9], [9, 9], [8, 9], [9, 9], [4, 9], [3, 3, 3, 3, 9], [5, 5, 9]]
[[], [3, 3, 3, 3], [5, 9], [4, 8], [6, 9], [6, 9], [9, 9], [9, 9], [7, 9], [5, 9], [3, 8], [9, 9], [9, 9]]
[[9], [8, 9], [9], [9], [3, 3, 5, 6], [3, 9], [9], [7, 9], [3, 3, 9], [5, 9], [6, 9], [9], [8, 9], [4, 9]]
[[9], [6, 9], [6, 9], [3, 3, 9], [7, 9], [9], [9], [3, 5, 5], [8, 8], [3, 3, 9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [3, 9], [9], [4, 9], [3, 3, 5, 5], [9], [9], [9], [8, 8], [6, 7], [9], [6, 9], [3, 3, 9]]
[[9], [9], [5, 9], [9], [3, 3, 3, 3], [9], [9], [6, 8], [3, 9], [9], [6, 7], [9], [9], [9], [5, 8], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [5, 5], [9], [3, 3, 3, 3], [9], [6, 7], [4, 9], [9], [9], [6, 8], [3, 8], [9]]
[[9], [9], [9], [9], [3, 9], [5, 6], [3, 9], [7], [9], [9], [3, 8], [4, 9], [9], [3, 3, 6], [5], [9], [9], [8], [9]]
[[9], [9], [8], [3, 3, 3, 4], [3, 9], [9], [9], [9], [5], [3, 6], [9], [8], [7], [9], [9], [5, 6], [9], [9], [9], [9]]
[[9], [9], [6], [4, 8], [9], [9], [], [9], [6], [9], [7], [9], [8], [9], [9], [3, 9], [3, 3, 3, 3], [5, 5], [9], [9], [9]]
[[9], [3, 3, 3, 3], [9], [3, 8], [8], [6], [9], [9], [9], [4], [9], [6], [9], [7], [9], [9], [], [9], [9], [9], [9], [5, 5]]
[[9], [], [8], [4], [9], [3, 6], [5], [9], [3, 5], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [6], [3, 3, 3], [9]]
[[9], [9], [9], [9], [5, 5], [9], [], [3], [9], [9], [9], [3], [9], [8], [9], [7], [3, 3, 3], [4], [9], [9], [6], [9], [8], [6]]
[[], [3, 6], [7], [3, 4], [9], [9], [9], [9], [9], [9], [9], [9], [6], [], [9], [9], [8], [9], [5, 5], [3, 3, 3], [], [], [9], [9], [8]]
[[9], [], [3, 5], [9], [9], [9], [9], [5], [8], [9], [8], [], [9], [6], [7], [6], [9], [9], [9], [3, 3, 3], [], [3], [9], [9], [4], [9]]
-EndAllocation

Instance: [[1], [180], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [6, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [6, 9, 9, 9], [9, 9, 9], [4, 4, 8, 9, 9]]
[[], [8, 9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 6], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9], [8, 9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [6, 9, 9], [9, 9], [8, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [8, 9], [9, 9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [6, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [9], [6, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [6, 9], [4, 9], [9], [9]]
[[9], [9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [6, 9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9]]
[[9], [4, 8], [4, 9], [6], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [9], [6], [8], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 6], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4], [9], [9], [9], [4, 4, 4], [6], [9], [9]]
[[9], [9], [6], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [], [6], [4, 4, 4], [4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [8], [4, 4], [9], [4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 6], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [8], [9], [9], [], [6], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4], [9], [9], [], [], [4, 4], [8], [], [4, 6], [9], [], [9], [4, 4]]
[[], [9], [4, 4], [9], [], [9], [], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [4, 4], [6], [8], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [179], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [6, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [6, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 9, 9], [9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [6, 9, 9, 9], [9, 9, 9], [4, 4, 8, 8, 9]]
[[], [8, 8, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 6], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9], [8, 8, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [6, 9, 9], [9, 9], [8, 8]]
[[], [4, 4, 4, 4, 4], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [8, 8], [9, 9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [6, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [8, 9], [9], [6, 9], [9]]
[[9], [8, 8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [6, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [8, 8], [9], [9], [4, 9], [6, 9], [9], [4, 4, 4, 4], [9], [9], [9]]
[[8], [4, 8], [4, 9], [6], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9]]
[[8], [9], [9], [9], [4, 6], [8], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 6], [8], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4], [9], [9], [9], [4, 4, 4], [6], [8], [9]]
[[9], [9], [6], [9], [9], [4, 4, 4], [8], [9], [9], [], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [8], [], [6], [4, 4, 4], [4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [8], [4, 4], [9], [4], [9], [8], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 6], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [8], [9], [9], [], [6], [9], [8], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4], [8], [9], [], [], [4, 4], [8], [], [4, 6], [9], [], [9], [4, 4]]
[[], [9], [4, 4], [9], [], [9], [], [9], [9], [9], [], [9], [9], [8], [9], [9], [4, 4], [], [4, 4], [4, 4], [6], [8], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [178], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 9]]
[[], [8, 9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9, 9], [9, 9]]
[[9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [8, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [8, 9], [9, 9], [9], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9]]
[[9], [4, 8], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [4, 8], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [], [], [4, 4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [8], [4, 4], [9], [4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [8], [9], [9], [], [9], [9], [4], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4], [9], [9], [], [], [4, 4], [8], [], [4, 4], [9], [], [9], [4, 4]]
[[], [9], [4, 4], [9], [], [9], [], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [], [4], [4, 4], [9], [8], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [177], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [7, 9, 9], [9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[], [7, 9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [7, 9]]
[[], [4, 4, 4, 4, 4], [7, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9]]
[[], [], [9, 9], [4, 4, 4, 7], [4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [7, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [7, 9], [9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [7, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [7, 9], [9], [4, 4, 4, 4], [9], [9], [9]]
[[9], [4, 7], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 7], [9], [9]]
[[7], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4], [4, 7]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [7], [4, 4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [9], [9], [9]]
[[9], [9], [7], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [4], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [], [9], [4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [7], [9], [9], [9], [], [], [4, 4], [4], [], [4, 4], [9], [], [9], [4, 4]]
[[], [9], [4, 4], [9], [], [9], [], [9], [9], [9], [], [7], [9], [4, 4], [9], [9], [4, 4], [], [4], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [176], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,26. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,26:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9], [4, 7, 9, 9, 9, 9, 9]]
[[], [7, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [8, 9, 9], [7, 9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 8], [9, 9, 9], [4, 4, 4, 7, 9]]
[[9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 7], [8, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [4, 7, 9]]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [], [4, 4, 4, 4, 4], [8, 9]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [], [9, 9], [9], [7, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4]]
[[9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [7, 9], [4, 4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [8], [7, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 8], [9], [9], [4, 7]]
[[9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [8], [9], [9], [4, 4, 4], [7], [9], [9], [4, 9], [9]]
[[9], [9], [9], [9], [4, 7], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4], [9], [9], [8]]
[[9], [], [4, 4, 4], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 7], [4, 9], [9], [9], [9]]
[[9], [], [9], [4, 7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [4]]
[[9], [4, 4, 4], [9], [4, 4], [9], [4, 4, 4], [7], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], []]
[[9], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4], [7], [9], [9], [9], [9], [8], [9], [9], [4, 4]]
[[], [7], [9], [9], [9], [8], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4], [9], [4, 4], [9], [9], [9], [9], [], [9]]
[[9], [9], [9], [9], [9], [9], [9], [], [9], [8], [4, 4], [], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4], [7], [4, 4], [9], [9], []]
[[9], [9], [9], [9], [9], [9], [4], [], [9], [4, 4], [9], [4, 4], [8], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [7], [9], [], [], [9]]
[[9], [7], [8], [], [9], [4, 4], [], [4, 4], [9], [], [9], [4], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [189], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 6, 8, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [6, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9], [8, 9, 9, 9], [9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [8, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9]]
[[], [8, 9, 9], [9, 9, 9], [6, 9, 9], [4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9]]
[[9], [9, 9], [9, 9], [8, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [4, 4, 4, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 9, 9], [4, 4, 6, 9], [4, 9, 9], [8, 9], [4, 4, 4, 4, 4, 4]]
[[], [6, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [8, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9], [9, 9], [9, 9], [6, 9], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [8, 9], [9, 9], [9, 9], [], [6, 9], [4, 4, 4, 4], [4, 4, 9], [9, 9]]
[[9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [6, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [4, 4, 8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [6, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [8], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [6, 9]]
[[9], [9], [4, 9], [6], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 8], [9], [9], [4, 9], [9], [9], [9]]
[[9], [6], [4, 9], [9], [8], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [6], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [6], [9], [9], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [6], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [6], [], [9], [9], [9], [9], [4], [9], [9], [8], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[], [], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [6], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 6], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [], [4], [9], [4, 4], [9], [9], [8], [4, 4]]
[[9], [9], [9], [9], [9], [9], [4, 6], [4, 4], [9], [9], [9], [9], [], [4], [9], [], [9], [9], [8], [9], [9], [4, 4], [], [4, 4], [], [4, 4]]
[[], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [8], [6]]
-EndAllocation

Instance: [[1], [188], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [5, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[], [5, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9], [5, 9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 9]]
[[], [8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 5, 9, 9, 9], [9]]
[[], [9, 9, 9], [4, 4, 8, 9], [5, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9]]
[[], [9, 9, 9], [5, 9, 9], [4, 4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 9], [9, 9], [9, 9], [5, 9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 5], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [5, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9]]
[[], [9], [5, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [9, 9], [9, 9], [5, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9]]
[[9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [5, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [4, 4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [5, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 4, 4, 4], [5, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8], [9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [8], [9], [4, 9], [4, 4, 4], [9], [9], [5, 9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [9], [9], [5], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [5], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [5], [], [9]]
[[9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9], [], [], [9], [9], [9], [9], [4, 5], [4, 4, 4], [9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [], [9], [4, 5], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], []]
[[9], [9], [4, 4], [], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [9], [5]]
[[9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [8], [4, 4], [], [9], [], [5], [], [9], [9], [9], [9], [4, 4], [9]]
[[9], [], [4, 4], [5], [9], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [], [8], [9], [9], [9], [9], [9], [9], [4, 4]]
[[], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [4, 4], [5], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9]]
-EndAllocation

Instance: [[1], [187], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 9, 9, 9]]
[[], [4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 8, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 9]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4, 4], [9], [], [8, 9], [9, 9]]
[[], [9, 9], [], [8, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9]]
[[9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 8], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [4, 8]]
[[9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4]]
[[], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9]]
[[], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [], [9], [4, 4, 4], [4], [9], [4, 8], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [], [8], [4, 4, 4], [9], [9]]
[[9], [4, 4], [4, 4], [9], [8], [4, 4], [4], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [9]]
[[], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [4], [9], [9], [4, 4], [9], [9], [9], [9]]
[[9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9], [4, 4], [], [4], [9], [9], [], [9], [9]]
[[9], [9], [8], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [4, 4], [9], [4], [], [], []]
-EndAllocation

Instance: [[1], [186], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 9, 9, 9, 9]]
[[3], [3, 3, 3, 7, 8, 9, 9, 9, 9], [3, 3, 3, 3, 6, 8, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [3, 3, 6, 9, 9, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 8, 8], [9, 9, 9, 9, 9]]
[[], [3, 3, 3, 3, 9, 9, 9], [3, 3, 3, 3, 7, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 8, 8, 9, 9]]
[[], [3, 3, 3, 3, 7, 7, 9], [9, 9, 9, 9], [3, 3, 3, 3, 9, 9], [9, 9], [8, 8, 9, 9], [6, 9, 9, 9]]
[[], [9, 9, 9], [8, 8], [9, 9, 9], [9, 9, 9], [7, 7, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 6], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [3, 3, 3, 3, 7, 7], [9, 9, 9], [3, 3, 3, 3, 9], [6], [8, 8, 9]]
[[], [6, 9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9], [9, 9], [3, 3, 3, 3, 3, 3, 3, 3]]
[[9], [3, 3, 3, 3, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [3, 3, 3, 3, 9], [6, 9], [8, 8]]
[[], [9, 9], [9, 9], [8, 8], [3, 3, 3, 9], [3, 3, 3, 3, 3, 6], [9, 9], [9], [9, 9], [9, 9], [9, 9], [7, 7]]
[[], [9, 9], [3, 3, 3, 3], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [6, 9], [3, 3, 3, 3], [9], [8, 8], [9, 9]]
[[], [9, 9], [], [8, 8], [], [9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 3], [7, 7], [6, 9], [9, 9], [9, 9], [3, 3, 9]]
[[9], [3, 3, 9], [9], [3, 3, 9], [3, 3, 9], [9], [3, 3, 9], [7, 7], [8, 9], [9], [9], [9], [8, 9], [6, 9], [9]]
[[9], [9], [6, 9], [9], [9], [9], [3, 3, 9], [3, 3, 9], [3, 3, 9], [3, 3, 9], [8, 8], [9], [9], [9], [9], [7, 7]]
[[9], [3, 8], [9], [3, 9], [9], [7, 7], [9], [3, 9], [9], [3, 9], [3, 9], [3, 9], [3, 9], [9], [3, 9], [6, 8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [3, 9], [3, 9], [9], [9], [9], [3, 3, 3, 3], [9], [9], [3, 3, 8], [7, 7], [6, 8]]
[[9], [9], [9], [3, 9], [9], [3, 8], [9], [9], [9], [9], [3, 9], [9], [6, 7], [9], [9], [3, 3, 3, 3], [3, 9], [8], [7]]
[[9], [7], [9], [9], [6, 7], [9], [3, 3, 3, 3], [9], [9], [8], [9], [8], [9], [9], [9], [9], [9], [9], [9], [3, 3, 3, 3]]
[[9], [9], [9], [9], [3, 3, 3, 3], [9], [9], [3, 3, 3], [7], [9], [9], [9], [3, 8], [9], [9], [7], [9], [9], [6], [9], [8]]
[[7], [9], [9], [9], [6], [3, 3, 3, 3], [], [9], [9], [8], [3, 3, 3, 3], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9]]
[[9], [7], [9], [], [9], [6], [9], [9], [9], [9], [9], [9], [9], [9], [8], [3, 3, 3, 3], [], [9], [7], [3, 3, 3, 3], [8], [9], [9]]
[[9], [9], [9], [7], [8], [9], [3, 3, 3], [9], [9], [], [9], [9], [8], [9], [9], [9], [9], [9], [3, 6], [9], [], [3, 3, 3], [7], [3]]
[[], [3], [6], [3, 7], [9], [9], [8], [9], [9], [], [], [8], [9], [9], [9], [3, 3, 3], [7], [3, 3, 3], [9], [9], [9], [9], [9], [9], [9]]
[[9], [3], [], [9], [9], [9], [9], [], [], [9], [8], [3, 3, 3], [8], [9], [3, 3, 3], [9], [7], [9], [9], [], [9], [9], [9], [3, 7], [9], [6]]
[[9], [7], [8], [3, 3, 3], [3, 3, 3], [9], [9], [7], [9], [], [], [3], [9], [9], [9], [], [3], [9], [9], [9], [9], [6], [9], [8], [9], [], [9]]
-EndAllocation

Instance: [[1], [185], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 5, 5, 5, 5, 6, 6, 7, 9, 9], [2, 2, 2, 2, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 9, 9], [5, 5, 5, 5, 8, 9, 9, 9, 9, 9, 9], [2, 2, 2, 2, 6, 6, 7, 9, 9, 9, 9, 9, 9]]
[[], [5, 5, 5, 5, 7, 8, 9, 9, 9], [4, 6, 6, 9, 9, 9, 9, 9], [2, 2, 2, 2, 9, 9, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 9], [2, 2, 2, 2, 7, 8, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [5, 5, 5, 5, 7, 9], [2, 2, 2, 2, 9, 9, 9], [4, 9, 9, 9, 9], [6, 6, 8, 9, 9]]
[[], [5, 5, 5, 5, 7, 9], [9, 9, 9, 9], [2, 2, 2, 2, 9, 9, 9], [9, 9], [6, 8, 9, 9], [4, 6, 9, 9]]
[[], [9, 9, 9], [9, 9], [4, 9, 9, 9], [5, 5, 5, 5, 9], [7, 9, 9], [2, 2, 2, 2, 6, 6, 8], [9, 9, 9]]
[[], [9, 9, 9], [2, 2, 2, 2, 6, 6], [9, 9, 9], [7], [9, 9, 9], [9, 9, 9], [4, 5, 5, 5, 5], [8, 9, 9]]
[[], [4, 9, 9], [9, 9], [8, 9], [5, 5, 5, 5], [6, 9, 9], [9, 9], [7, 9, 9], [9, 9], [2, 2, 2, 2, 6, 9]]
[[], [5, 5, 9], [2, 2, 2, 2, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 5, 6, 6], [5, 8, 9]]
[[], [9, 9], [5, 5, 5, 5], [8, 9], [9, 9], [6, 6], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [2, 2, 2, 2, 7]]
[[], [9, 9], [9], [4, 9], [7, 9], [9, 9], [9, 9], [9, 9], [6, 6], [2, 2, 2, 2], [5, 5, 5, 5], [8, 9], [9, 9]]
[[], [9, 9], [], [8, 9], [], [9, 9], [9, 9], [9, 9], [2, 2, 2, 2, 7], [5, 5, 5], [4, 6, 6], [9, 9], [5, 9], [9, 9]]
[[9], [5, 9], [5, 9], [9], [5, 9], [9], [2, 2, 2, 2, 9], [7, 9], [9], [9], [5, 9], [9], [8, 9], [4, 6, 6], [9]]
[[9], [5, 9], [6, 6], [9], [4, 9], [9], [2, 2, 2, 2, 8], [9], [9], [5, 9], [9], [9], [5, 9], [9], [5, 9], [7, 9]]
[[9], [5, 9], [9], [9], [9], [6, 7], [4, 9], [2, 2, 2, 2, 5], [5, 9], [9], [9], [9], [5, 9], [9], [9], [6, 8], [9]]
[[9], [9], [9], [5, 9], [5, 9], [9], [2, 2, 2, 2], [9], [9], [9], [9], [9], [9], [9], [4, 9], [6, 8], [6, 7], [5, 5]]
[[9], [9], [9], [9], [9], [5, 8], [5, 5], [9], [9], [9], [9], [9], [6, 6], [9], [2, 2, 2, 2, 4], [9], [9], [9], [5, 7]]
[[9], [9], [9], [9], [7], [9], [9], [9], [9], [5, 8], [9], [4, 5], [5, 5], [9], [9], [2, 2, 2, 2], [9], [9], [9], [6, 6]]
[[], [9], [2, 5, 5], [9], [8], [9], [9], [2, 2, 2, 4], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [6, 6], [5, 5], [9]]
[[7], [9], [4], [9], [9], [6, 6], [], [9], [5, 5], [9], [9], [8], [9], [9], [9], [9], [2, 2, 2, 2], [9], [9], [9], [5, 5], [9]]
[[9], [9], [5, 5], [], [9], [6, 6], [9], [], [9], [5, 5], [2, 2, 2, 2], [9], [9], [9], [9], [9], [], [9], [7], [9], [4, 8], [9], [9]]
[[6], [4, 5], [5, 5], [7], [8], [9], [9], [], [9], [6], [9], [9], [5], [9], [9], [9], [9], [9], [2, 2, 2, 2], [9], [], [9], [9], [9]]
[[], [], [6], [9], [9], [9], [9], [9], [9], [], [4], [8], [5, 5], [9], [5, 5], [9], [7], [9], [9], [6], [9], [2, 2, 2, 2], [9], [9], [9]]
[[9], [9], [], [9], [4], [9], [5, 5], [5, 5], [], [9], [9], [9], [8], [9], [9], [6], [7], [9], [2, 2, 2, 2], [], [9], [9], [9], [], [9], [6]]
[[9], [5], [8], [9], [9], [7], [9], [5], [9], [4], [9], [6], [5], [9], [9], [], [], [9], [9], [9], [9], [6], [2, 2, 2, 2], [9], [5], [], [9]]
-EndAllocation

Instance: [[1], [184], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [8, 8, 9, 9]]
[[], [4, 4, 4, 4, 9], [8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 8], [9, 9, 9], [8, 9, 9], [9, 9, 9], [7, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 7, 8, 8]]
[[], [7, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9]]
[[], [7, 9], [9, 9], [4, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [4, 9], [9, 9], [7], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [7, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [8, 8], [9, 9], [], []]
[[9], [4, 9], [9], [4, 4, 4, 4], [4, 4, 9], [7, 9], [9], [9], [9], [4, 4, 9], [8, 8], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [8, 8], [9], [7, 9], [4, 4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [8], [4, 9], [4, 7], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [8], [4, 9], [4, 9]]
[[9], [9], [4, 7], [8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [4, 9], [9]]
[[9], [9], [4, 4, 4], [8], [7], [9], [8], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [7], [8], [9], [], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [4, 9]]
[[9], [9], [4, 4], [9], [8], [9], [], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8], [9], [7], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [9], [8], [9], [9], [4, 4], [4, 4, 4], [9], [9], [8], []]
[[8], [4], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [7], [4, 4], [4, 4], [9], [8], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4], [], [9], [9], [], [4, 4], [9], [8], [9], [4, 4], [4, 4], [7], [8]]
[[9], [9], [], [4], [4, 4], [9], [8], [9], [9], [4, 4], [], [9], [7], [9], [9], [4, 4], [], [9], [8], [4, 4], [9], [9], [9], [9], [4, 4]]
[[], [9], [9], [9], [4, 4], [9], [], [9], [9], [], [4], [9], [9], [9], [7], [9], [4, 4], [9], [8], [4, 4], [8], [], [4, 4], [9], [4, 4], [9]]
[[9], [], [4, 4], [4, 4], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [9], [4], [8], [9], [7], [9], [4, 4], [], [], [4, 4], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [183], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,27. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,27:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[4], [6, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9, 9, 9]]
[[8], [6, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [6, 8, 8]]
[[], [9, 9, 9], [6, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9]]
[[], [8, 8, 9], [6, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [4, 4, 4, 4, 9]]
[[], [4, 4, 4, 4, 4], [6, 9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [6, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [8, 8], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 6, 9], [9, 9]]
[[], [9, 9], [], [8, 8], [4, 4, 4, 4, 4], [6], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9]]
[[], [], [4], [4, 4, 4, 4], [9], [4, 4, 4, 4], [6, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 8], [9, 9], [9, 9]]
[[9], [9], [9], [9], [4, 4, 4, 4], [6, 8], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 9]]
[[9], [8, 8], [9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [6, 9], [4, 9], [9]]
[[9], [9], [9], [6, 8], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 8], [9], [9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [8], [9], [4, 6], [4, 9], [9], [9], [4, 8], [4, 4, 4], [4, 9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [4, 4, 4], [6], [4, 9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [], [6], [], [9], [4, 8], [9], [4, 8]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 4], [9], [9], [9], [4, 4, 4], [6], [9], [], [8]]
[[9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [8], [4, 4, 4], [], [], [6], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [8], [9], [9], [4, 6], [8], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4]]
[[9], [9], [9], [9], [], [8], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [4], [4, 4], [4, 4], [4, 4], [6]]
[[9], [9], [4, 4], [8], [9], [9], [9], [9], [], [9], [9], [], [8], [4], [9], [4, 4], [9], [9], [4, 4], [6], [4, 4], [], [9], [4, 4], [9]]
[[9], [], [4, 4], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4], [], [6], [9], [8], [], [9], [9], [9], [9], [4, 4], [8]]
[[9], [9], [9], [], [4, 4], [9], [6], [], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [], [8], [4, 4], [4], [8]]
-EndAllocation

Instance: [[1], [196], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [8, 9, 9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9], [], [9, 9]]
[[9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 4, 8], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 8]]
[[9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 8], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [8], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4], [4, 4, 4], [8]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [9], [4, 8], [4], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9]]
[[9], [], [9], [9], [9], [9], [4, 4], [9], [4], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [4, 4]]
[[9], [9], [], [9], [9], [], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4], [9], [9], [9], [8]]
[[9], [4], [9], [9], [], [9], [9], [8], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], []]
[[9], [4, 4], [9], [9], [], [9], [], [9], [9], [], [9], [4, 4], [9], [9], [], [9], [9], [4], [9], [8], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [195], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9]]
[[], [9, 9], [4, 4, 8, 8, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 9, 9], [8, 8], [4, 9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [4, 9, 9], [8, 8], [9, 9]]
[[], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4]]
[[9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [8, 9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [8, 8], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [9], [4, 4, 4], [8]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 8], [9], [4, 8], [4, 4, 4], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 8], [8], [9], [9], [4, 4, 4], [9]]
[[9], [8], [9], [4, 9], [9], [9], [], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [], [4, 8], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [8]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [], [4, 4, 4], []]
[[], [9], [9], [8], [9], [9], [4, 4], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], []]
[[9], [8], [9], [9], [9], [], [8], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [4], [9]]
[[9], [9], [], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [8], [], [9], [4, 4], [4], [8], [9], [9], [4, 4], [9], [9]]
[[9], [9], [], [4, 4], [9], [9], [8], [4, 4], [4], [9], [], [9], [4, 4], [4, 4], [9], [8], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [4, 4], [8], [], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [], [], [9], [], [9], [4], [], [9], [4, 4], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [194], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8], [3, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 3, 9, 9], [4, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9], [3, 3, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9]]
[[9, 9], [5, 5, 7, 7, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 6, 6, 6, 6, 6, 8, 8]]
[[9], [5, 5, 8, 8, 9, 9], [6, 6, 6, 6, 6, 7, 9], [3, 3, 3, 3, 7, 9, 9, 9], [4, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6], [7, 9, 9, 9, 9], [7, 8, 8, 9, 9], [4, 9, 9, 9, 9], [3, 3, 3, 3, 5, 5, 9, 9]]
[[], [9, 9], [3, 3, 7, 7, 8, 8], [3, 3, 4, 9, 9, 9], [9, 9, 9, 9], [5, 6, 6, 6, 6, 6], [5, 9, 9, 9]]
[[], [3, 3, 3, 3, 6, 6, 6], [8, 8], [4, 6, 9, 9], [7, 7, 9, 9], [6, 9, 9, 9], [9, 9, 9], [5, 5, 9, 9]]
[[], [6, 6, 6, 6], [9, 9, 9], [7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 7, 8, 8], [3, 3, 3, 3, 5, 5, 6]]
[[9], [5, 6, 6, 6], [9, 9], [9, 9], [5, 9, 9], [8, 8, 9], [4, 7, 7], [3, 3, 3, 3, 9], [6, 6, 9], [9, 9]]
[[], [4], [9, 9], [6, 6, 6, 6], [5, 9, 9], [9], [6, 9, 9], [5, 9, 9], [3, 3, 7, 9], [7, 8, 8], [3, 3, 9, 9]]
[[], [9, 9], [5, 5, 9], [4, 9, 9], [6, 6, 6], [6, 9], [7, 7], [9, 9], [9, 9], [6, 9], [8, 8], [3, 3, 3, 3, 9]]
[[], [3, 3, 3, 3, 6], [8, 8], [6, 9], [7, 7], [9, 9], [4, 6, 6], [9, 9], [9], [9, 9], [5, 6, 9], [9, 9], [5, 9]]
[[], [], [9, 9], [6, 6, 6], [9, 9], [9, 9], [3, 3, 3, 3], [9, 9], [9, 9], [4, 6, 6], [7, 7], [8, 8], [9, 9], [5, 5]]
[[9], [8, 9], [9], [9], [4, 9], [6, 6], [3, 3, 9], [3, 3, 9], [6, 6], [5, 9], [5, 8], [9], [7, 9], [7, 9], [6, 9]]
[[9], [6, 9], [6, 9], [8, 9], [9], [7, 9], [6, 9], [9], [8, 9], [5, 5, 7], [4, 9], [6, 6], [3, 3, 3, 3], [9], [9], []]
[[9], [6, 6], [5, 9], [9], [8, 8], [3, 6, 6], [9], [9], [9], [9], [9], [5, 9], [9], [9], [4, 9], [3, 3, 3, 6], [7, 7]]
[[9], [9], [6, 6], [9], [9], [9], [9], [9], [6, 8], [9], [8], [4, 9], [6, 7], [3, 3, 3, 3], [5, 9], [6, 7], [9], [5, 9]]
[[9], [9], [9], [9], [5, 9], [7], [9], [5, 9], [9], [9], [4, 9], [3, 3, 3, 3], [8], [9], [8], [6, 7], [6, 6], [6, 6], [9]]
[[9], [9], [6, 7], [9], [9], [9], [3, 3, 3, 3], [6, 6], [9], [9], [8], [5, 5], [9], [4, 9], [8], [7], [6, 6], [9], [9], [9]]
[[9], [3, 8], [9], [9], [5, 6], [9], [5], [9], [6, 6], [9], [9], [9], [4, 9], [9], [6, 6], [8], [3, 3, 3], [9], [7], [9], [7]]
[[9], [9], [6], [9], [9], [8], [5, 6], [5, 6], [9], [8], [9], [7], [6, 6], [9], [9], [9], [9], [], [9], [4, 7], [9], [3, 3, 3, 3]]
[[9], [9], [5], [9], [9], [9], [4, 7], [8], [9], [3, 7], [8], [9], [9], [6], [6, 6], [3, 9], [6, 6], [3, 3, 5], [9], [9], [], [9], []]
[[9], [6, 6], [5], [8], [7], [9], [5], [], [6, 6], [7], [3, 3, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [3, 3], [6]]
[[6], [8], [9], [9], [9], [7], [8], [9], [9], [6], [6], [9], [9], [9], [3, 5], [6], [7], [4], [9], [5], [9], [9], [6], [3, 3, 3], [9]]
[[9], [9], [6], [5], [9], [3], [9], [5], [9], [6], [7], [3, 3, 3], [9], [9], [6], [8], [7], [6], [4], [9], [8], [6], [9], [9], [9], [9]]
[[9], [9], [], [4], [9], [6], [8], [6], [6], [3, 3, 3], [9], [3], [9], [9], [9], [8], [7], [5], [9], [6], [9], [6], [5], [7], [9], [9], [9]]
[[9], [9], [6], [6], [7], [7], [8], [5], [5], [3, 3, 3], [], [8], [9], [9], [9], [9], [6], [], [9], [], [9], [6], [6], [9], [3, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [193], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 7, 7, 8, 9], [3, 3, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 3, 9, 9], [3, 3, 4, 5, 7, 9, 9, 9, 9, 9, 9, 9], [3, 6, 6, 6, 6, 6, 7, 8, 9, 9, 9, 9]]
[[9], [5, 7, 7, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 8, 9]]
[[], [5, 8, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 9], [3, 3, 3, 3, 3, 7, 9, 9, 9], [4, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6], [7, 9, 9, 9, 9], [7, 8, 9, 9, 9], [4, 9, 9, 9, 9], [3, 3, 3, 3, 3, 5, 9, 9]]
[[], [3, 9], [3, 3, 7, 7, 8, 9], [3, 3, 4, 9, 9, 9], [9, 9, 9, 9], [5, 6, 6, 6, 6, 6], [9, 9, 9, 9]]
[[], [3, 3, 3, 3, 3, 6, 6, 6], [7, 8], [4, 9, 9, 9], [7, 9, 9], [6, 9, 9, 9], [6, 9, 9], [5, 9, 9, 9]]
[[], [6, 6, 6, 6], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 7, 7, 8], [3, 3, 3, 3, 3, 5, 6]]
[[9], [5, 6, 6, 6], [9, 9], [9, 9], [9, 9], [8, 9, 9], [4, 7, 7], [3, 3, 3, 3, 3, 9], [6, 6, 9], [9, 9]]
[[], [9], [9, 9], [5, 6, 9], [9, 9], [9, 9], [6, 6, 6, 6], [4, 9, 9], [3, 3, 3, 7], [7, 8, 9], [3, 3, 9, 9]]
[[], [9], [5, 9], [4, 9, 9], [6, 6, 9], [9, 9], [7, 9], [9, 9], [9, 9], [6, 6, 6], [8, 9], [3, 3, 3, 3, 3, 7]]
[[], [3, 3, 3, 3, 3], [8, 9], [6, 6, 6], [7, 9], [9, 9], [4, 6, 6], [9, 9], [7], [9, 9], [9, 9], [9, 9], [5, 9]]
[[], [], [9, 9], [6, 6, 6], [9, 9], [9], [3, 3, 3, 3, 3], [9, 9], [9, 9], [4, 6, 6], [7, 7], [8, 9], [9, 9], [5, 9]]
[[9], [9], [3, 9], [9], [4, 9], [6, 9], [3, 3, 9], [3, 3, 9], [6, 6], [7, 9], [5, 8], [9], [6, 9], [7, 9], [6, 9]]
[[9], [9], [6, 9], [8, 9], [9], [7, 9], [6, 9], [9], [6, 9], [5, 7], [4, 9], [6, 6], [3, 3, 3, 3, 3], [9], [9], [9]]
[[9], [6, 6], [9], [9], [7, 8], [6, 9], [9], [3, 3, 3, 3, 3], [9], [9], [9], [5, 9], [9], [9], [4, 9], [6, 6], [7, 9]]
[[9], [3, 9], [9], [9], [6, 8], [6, 7], [9], [9], [9], [9], [9], [4, 9], [6, 7], [3, 3, 3, 3], [9], [6, 6], [9], [5, 9]]
[[9], [9], [9], [3, 9], [9], [7], [9], [5, 9], [9], [9], [4, 9], [3, 3, 3, 3], [9], [9], [8], [6, 7], [6, 6], [6, 6], [9]]
[[9], [9], [6, 7], [9], [9], [9], [3, 3, 3, 3], [6, 6], [9], [3, 9], [9], [5], [9], [4, 9], [8], [7], [6, 6], [9], [9], [9]]
[[9], [3, 8], [9], [9], [5, 6], [9], [], [9], [6, 6], [9], [9], [9], [4, 9], [9], [6, 6], [9], [3, 3, 3, 3], [9], [7], [9], [7]]
[[9], [9], [6, 6], [9], [9], [8], [3, 9], [5, 6], [9], [9], [9], [7], [6, 6], [9], [9], [9], [9], [], [], [4, 7], [9], [3, 3, 3, 3]]
[[9], [9], [9], [9], [9], [9], [4, 7], [9], [9], [3, 7], [8], [9], [9], [6], [6, 6], [3, 3], [6, 6], [3, 3, 5], [9], [9], [], [9], []]
[[], [6, 6], [5], [9], [7], [9], [9], [], [6], [7], [3, 3, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [3, 3, 3], [6, 6]]
[[6], [8], [9], [9], [9], [7], [9], [9], [9], [6], [6], [9], [9], [9], [3, 3], [6], [7], [4], [9], [5], [9], [9], [6], [3, 3, 3], [9]]
[[9], [9], [6], [5], [9], [3, 3], [], [9], [9], [6], [7], [3, 3, 3], [9], [9], [6], [8], [7], [6], [4], [9], [6], [9], [9], [9], [9], [9]]
[[9], [9], [], [4], [9], [6], [6], [6], [9], [3, 3, 3], [], [3, 3], [9], [9], [9], [8], [7], [9], [9], [6], [9], [6], [5], [7], [9], [9], [9]]
[[9], [9], [6], [6], [7], [7], [], [9], [5], [3, 3, 3], [9], [8], [9], [9], [9], [9], [6], [], [3], [], [9], [6], [6], [9], [3, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [192], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9], [9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [5, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9]]
[[], [5, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9], [8, 9, 9, 9], [5, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [5, 9, 9, 9], [4, 4, 9]]
[[9], [8, 9, 9], [4, 4, 9, 9], [5, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9]]
[[], [9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 5], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [5, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9], [9], [4, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [5, 9, 9], [9, 9], [4, 8, 9], [4, 9, 9]]
[[], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 5], [9, 9], [9, 9], [8, 9], [9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [9, 9], [9, 9], [], [9, 9], [4, 9], [4, 4, 4, 8], [9, 9], [9, 9], [5, 9]]
[[], [8], [9, 9], [4, 4, 4, 4], [9], [4, 4, 4], [5, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9]]
[[9], [9], [5, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [9], [5, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 4, 4, 4], [5, 9], [9], [9], [4, 4, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [5, 9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [5, 9], [9], [4, 8], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [5], [9], [4, 9], [8], [4, 9], [9], [9], [9], [9], [9]]
[[9], [8], [4, 9], [4, 4, 5], [9], [9], [4, 4, 4], [4, 9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [5], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [8], [], [9]]
[[9], [9], [4, 4, 4], [9], [], [8], [9], [9], [9], [], [9], [9], [9], [9], [5], [9], [4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [4, 5], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [9], [9], [4], [9], [9], [9], [5], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [8], [4, 4], [9], []]
[[9], [8], [9], [9], [], [9], [9], [9], [9], [], [5], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4], [4, 4], [4, 4], [9], [4, 4]]
[[9], [9], [9], [4], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [9], [5], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [], [], [9], [], [9]]
[[], [4], [], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [8], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [], [9], [5], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [191], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[8], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4]]
[[], [8, 9, 9], [4, 4, 4, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [], [4, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [9, 9], [4, 8, 9], [4, 9, 9]]
[[], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4], [9, 9], [4, 4, 9], [4, 4, 4, 8], [9, 9], [], [9, 9]]
[[], [8], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 4, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [4, 8], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 8], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9]]
[[], [8], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4], [4, 9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [8], [], [9]]
[[9], [9], [4, 4, 4], [9], [], [8], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [8], [4, 4], [9], []]
[[9], [8], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [4, 4], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [8], [4, 4], [], [9], [9], [4, 4], [9], [9], [], [], [9], [], [9]]
[[], [4, 4], [], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [8], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [], [9], [], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [190], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,28. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,28:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9, 9], [8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [8, 8], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [4, 9], [4, 4, 4, 4, 4], [9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 8, 8], [4]]
[[], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [8, 9], [4, 4, 9], [9], [8, 9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [8, 8], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 8], [4, 9], [8], [4, 9]]
[[9], [8], [9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [4, 9], [9], [9], [8], [4, 8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], []]
[[9], [9], [4, 4, 4], [4, 4], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [8], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 9]]
[[9], [4, 4], [4, 8], [], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9]]
[[], [8], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [8]]
[[9], [4, 4], [9], [9], [], [9], [4, 4], [], [4, 4], [4, 4], [8], [9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [9]]
[[], [9], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [8], [4, 4], [9], [4, 4]]
[[], [9], [4, 4], [4, 4], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [4, 4], [8], [8], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [9]]
[[9], [], [9], [8], [4, 4], [], [], [9], [9], [8], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4]]
[[9], [9], [9], [9], [4, 4], [9], [8], [9], [9], [4, 4], [], [4, 4], [9], [9], [], [9], [9], [], [], [], [9], [], [4, 4], [9], [9], [4, 4], [8], [4, 4]]
-EndAllocation

Instance: [[1], [203], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9], [4, 4, 8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [4, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 8, 8, 8], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [8, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4], [9, 9]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 9]]
[[], [], [9, 9], [9, 9], [], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4]]
[[9], [4, 9], [8, 9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [8, 9], [9]]
[[9], [4, 9], [4, 4, 8], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [9], [4, 9], [4, 9]]
[[9], [9], [8, 8], [9], [9], [4, 9], [4, 4, 8], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 8], [9], [8], [4, 9], [4, 9], [8]]
[[9], [4, 8], [4, 9], [8], [9], [4, 8], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [8], [9], [9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [9], [8], [9], [4, 9], [9], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [8], [9]]
[[9], [4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [8], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [], [9], [8], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [4]]
[[], [9], [9], [8], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [8], [4, 4], [9], [9], [9], [9], [], [4, 4, 4]]
[[8], [9], [8], [8], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4], [9]]
[[9], [8], [9], [9], [4, 4], [9], [4], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [8], [4, 4], [9], [9], [9], [8], [4, 4], [], [], [9]]
[[8], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [8], [], [9], [4, 4], [4, 4], [9], [], [9], [4], [9], [], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [], [9], [9], [], [4, 4], [4], [], [9], [9], [8], [], [4, 4], [9], [8], [9], [9], [8], [4, 4], [9]]
-EndAllocation

Instance: [[1], [202], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 6, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [6, 9, 9], [4, 4, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9], [6, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 6]]
[[], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [8, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [6, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8], [4, 4, 4, 4, 4], [9, 9], [4, 6], [9, 9]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [8, 9], [4, 4, 4, 4, 4], [4, 9]]
[[], [], [9, 9], [6, 9], [], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [6, 9], [4, 4, 9], [4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [6, 9], [4, 9], [8], [9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 8], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [6, 9], [9], [9], [9], [4, 9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [9], [6], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [8]]
[[9], [4, 8], [4, 9], [9], [9], [9], [9], [4, 4, 6], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [6], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [9]]
[[9], [9], [6], [4, 9], [9], [9], [9], [9], [8], [9], [4, 9], [9], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4], [9], [4, 4, 4], [6], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [6], [9], [4, 8], [9], [4]]
[[], [6], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4, 4]]
[[9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [6], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4], [9]]
[[9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [], [4, 6], [9], [9], [9], [8], [4, 4], [], [], [9]]
[[9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 6], [], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4], [9], [], [9], [9], [9], [6], [4, 4], [], [9], [9], [], [9], [4, 4], [9], [], [9], [9], [8], [4, 4], [9]]
-EndAllocation

Instance: [[1], [201], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 6, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [6, 8, 8, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9], [6, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9], [6, 9, 9, 9], [8, 8, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [4, 6, 8, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9]]
[[9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 6]]
[[], [9, 9, 9], [9, 9, 9], [4], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [9], [4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [9, 9], [8, 8, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[9, 9], [6, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [8, 8], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 6], [9, 9]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 9]]
[[], [], [9, 9], [6, 9], [], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4]]
[[9], [4, 9], [8, 9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [9], [9], [9], [6, 9], [4, 4, 9], [8, 9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [6, 9], [4, 9], [8, 8], [9], [4, 9], [4, 9]]
[[9], [9], [8, 8], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [6, 9], [9], [9], [9], [4, 4, 4, 4], [9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [9], [6], [4, 9], [4, 9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [8]]
[[9], [4, 8], [4, 9], [8], [9], [9], [9], [4, 4, 6], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [6], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [8], [9], [9]]
[[9], [9], [6], [4, 9], [9], [9], [9], [9], [8], [9], [4, 9], [9], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9]]
[[9], [4, 4], [9], [4, 4, 4], [6], [9], [9], [9], [], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [6], [9], [4, 8], [9], [4]]
[[], [6], [9], [8], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4, 4]]
[[8], [9], [8], [9], [], [9], [], [4, 4], [4, 4], [4, 6], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4, 4], [9]]
[[9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [], [9], [4, 4], [8], [4, 6], [9], [9], [9], [8], [4, 4], [], [], [9]]
[[8], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 6], [], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4], [9], [], [9], [9], [], [6], [4, 4], [], [9], [9], [], [9], [4, 4], [9], [8], [9], [9], [8], [4, 4], [9]]
-EndAllocation

Instance: [[1], [200], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 8, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [8, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9]]
[[], [4, 4, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4], [8, 9], [9], [], [9, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 4, 8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [8], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [4, 8], [9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9]]
[[9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [], [9], [], [4, 4, 4], [9], [4, 4, 4], [4, 9]]
[[9], [9], [4, 4, 4], [9], [], [], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], []]
[[9], [9], [9], [4, 4], [9], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [4, 4], [9], [9], []]
[[9], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[], [9], [4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4], [], [], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9]]
[[9], [9], [], [4, 4], [], [8], [9], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [199], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 8, 8], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 9]]
[[], [4, 4, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4], [8, 8], [9], [], [9, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [8, 9], [9], [4, 4, 9], [8, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [4, 9]]
[[9], [8], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [4, 8], [9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [8], [9], [9], [9], [8], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9]]
[[9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [], [9], [], [4, 4, 4], [8], [4, 4, 4], [4, 9]]
[[9], [9], [4, 4, 4], [9], [], [], [9], [4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [], [9], [9], [9], [9], [8], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], []]
[[9], [9], [9], [4, 4], [9], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [], [4, 4], [4, 4], [4, 4], [4, 4], [9], [9], []]
[[9], [9], [8], [9], [9], [9], [8], [], [9], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[], [9], [4, 4], [4, 4], [8], [9], [9], [], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4], [], [], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [8], [], [9], [9], [4, 4], [9], [9], [8], [4, 4], [4, 4], [9], [9]]
[[9], [9], [], [4, 4], [], [8], [9], [9], [9], [9], [], [8], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [198], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9]]
[[9], [7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 8], [4, 9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 8, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [8, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [4, 9, 9], [7, 9], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9]]
[[], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [7], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [7, 9], [4, 4, 9], [9, 9], [], [9, 9], [8, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [8], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [7]]
[[9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 4, 4], [7, 9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 8], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [7, 9]]
[[9], [4, 7], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 7], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [7]]
[[9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 7], [9], [4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [4, 4, 4], [8], [9], [], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [7], [9], [9], [], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [], [4, 4, 4], [4, 4, 4], [9], [9]]
[[], [9], [4, 4], [7], [8], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9]]
[[], [9], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [8], [9], [4, 4], [9], [4, 4], [7], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [8], [9], [7], [9], [9], [9]]
[[8], [4, 4], [9], [], [7], [9], [], [], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4]]
[[9], [4, 4], [4, 4], [9], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [7], [4, 4], [9], [], [9], [9], [8], [], [9], [], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [197], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,29. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,29:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9]]
[[9], [7, 7, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 7], [4, 9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [7, 7], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9]]
[[], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [7, 7], [4, 4, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [7, 7]]
[[9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [7, 7], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [7, 7]]
[[9], [7, 7], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [7, 7], [9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 9], [9], [9], [7]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [7]]
[[9], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 7], [9], [4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [7], [7], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [7], [9], [9], [], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [], [4, 4, 4], [4, 4, 4], [9], [9]]
[[], [9], [4, 4], [7], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [7], [9], [9], [9], [9]]
[[], [9], [9], [7], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [7], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [7], [9], [7], [9], [9], [9]]
[[9], [4, 4], [9], [], [7], [9], [7], [], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [4, 4], [9], [], [4, 4]]
[[9], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [7], [4, 4], [9], [9], [4, 4], [4, 4], [7], [4, 4], [9], [], [9], [9], [], [], [9], [], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [210], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9], [9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9], [6, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9], [6, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 6, 8, 8]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9], [9, 9, 9], [6], [9, 9, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9, 9], [9, 9], [4, 4, 4, 4, 4, 6], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9]]
[[9], [9, 9], [9], [9, 9], [9, 9], [6, 9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [8, 8], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9]]
[[], [4, 4, 4, 4, 4], [], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [4, 9], [6, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9], [8, 8]]
[[], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4], [8], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [6, 8]]
[[9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [6, 9], [8, 9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [8, 8], [9], [4, 9], [9], [4, 9], [9], [6, 9]]
[[9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [6, 9]]
[[9], [4, 9], [9], [8], [4, 9], [9], [4, 9], [9], [4, 9], [9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [6], [9]]
[[9], [4, 6], [4, 4, 4], [9], [9], [9], [4, 8], [4, 9], [4, 4, 4], [4, 9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 9], [9], [9], [9], [6], [9], [4, 4, 4], [8]]
[[9], [9], [9], [4, 4], [9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [6], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [4], [4, 6], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9]]
[[], [9], [9], [9], [9], [6], [9], [], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4], [9], [4, 4, 4], [9], [8]]
[[9], [9], [4, 4, 4], [6], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [8], [9], [9], [9], [8], [], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4]]
[[9], [6], [9], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [8]]
[[9], [6], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4], [], [9], [9], [9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [9], [], [8], [4, 4], [9], [9]]
[[9], [9], [9], [], [4, 4], [9], [], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 6], [9], [9], [], [9], [4, 4], [4, 4], [8], [8]]
[[9], [6], [4], [], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [8], [8], [4, 4], [], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [209], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8, 8, 8, 8, 9, 9, 9], [6, 6, 6, 6, 6, 9, 9]]
[[4, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[4, 5, 8, 8, 8, 8, 9], [8, 9], [6, 6, 6, 6, 6, 9], [5, 5, 5, 7, 7, 7, 7, 9], [7, 7, 7, 7, 7, 7, 9]]
[[4, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 5]]
[[7, 7, 7, 7, 7], [4, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6], [9], [5, 5, 5, 5]]
[[7, 7, 7, 7, 7], [4, 5, 5, 5, 5, 8], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [6, 6, 6, 6, 6], [9]]
[[4, 7, 7], [5, 5, 5, 5, 8], [], [8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [9, 9], [7, 7, 7, 7], [6, 6, 6, 6, 6]]
[[4, 7], [7, 7, 7, 7], [6, 6, 6, 7], [6, 6], [8, 8], [5, 5, 5, 5], [8, 8, 8], [7, 7, 7, 7], [9, 9], [9, 9, 9]]
[[4, 7, 7, 7], [7, 7, 7], [7, 7, 7], [8, 8, 8], [5, 5, 5, 9], [6, 6, 6, 6], [6, 9, 9], [5, 7], [8, 8], [], [9, 9]]
[[7, 7, 7], [7], [7, 7, 7], [4, 9], [8, 8], [6, 6, 6, 6], [7, 7, 7], [6, 9, 9], [9, 9], [], [5, 5, 5, 5], [8, 8, 8]]
[[7, 7, 7], [7], [4, 8, 8], [6, 6, 9], [9, 9], [9, 9], [6, 6, 6], [], [5, 5, 5, 5], [8, 8], [8], [7, 7, 7], [7, 7, 7]]
[[4, 7, 7], [9], [7, 7], [7, 7], [8], [9, 9], [7, 7], [7, 7], [6, 6], [8, 8], [8, 8], [6, 6, 6], [9, 9], [5, 5, 5, 5]]
[[4, 5, 7], [7, 7], [7], [7, 7], [8], [8, 8], [8, 8], [9, 9], [7, 7], [6, 6], [7, 7], [9, 9], [5, 5, 5], [9], [6, 6, 6]]
[[7, 7], [4, 7, 7], [9, 9], [7, 7], [6, 6, 6], [8, 9], [7, 7], [], [5, 5, 5], [5], [8, 8], [9, 9], [6, 6], [7, 7], [], [8, 8]]
[[4, 6, 6], [7, 7], [7, 7], [7, 9], [7, 8], [7, 9], [], [7, 7], [6, 9], [9], [5, 5, 5], [], [8, 8], [], [8, 8], [7, 9], [5, 6, 6]]
[[7, 7], [7, 7], [4, 6, 6], [7, 9], [7], [5, 6], [9], [], [8, 8], [9], [7, 7], [9], [7, 7], [9], [6, 6], [5, 5, 5], [8, 8], [8]]
[[4, 9], [5, 9], [6], [7, 7], [9], [7, 7], [9], [7, 7], [7, 7], [9], [8], [5, 5], [8], [6, 6], [8], [5, 8], [7, 7], [8], [6, 6]]
[[6, 6], [7, 7], [7, 7], [4, 8], [9], [5, 9], [8], [7, 7], [9], [5, 9], [], [8], [7, 7], [9], [6, 8], [], [7, 7], [6, 6], [8], [5, 5]]
[[4, 8], [5, 8], [6, 7], [5, 6], [5, 8], [6, 7], [9], [5, 7], [6, 7], [7], [8], [8], [7], [7], [9], [9], [9], [7], [7], [6, 7], [9]]
[[4, 7], [9], [7], [9], [9], [5, 8], [5, 8], [5, 8], [8], [6, 7], [7], [6, 7], [6, 7], [7], [5, 8], [9], [9], [7], [], [7], [7], [6, 6]]
[[5, 8], [5, 8], [8], [6], [7], [4, 7], [7], [7], [7], [9], [5, 7], [8], [9], [6, 6], [7], [7], [8], [6, 6], [9], [7], [9], [9], [5, 7]]
[[9], [7], [4, 7], [7], [5, 7], [6, 6], [7], [7], [9], [8], [6], [9], [7], [8], [7], [7], [9], [5, 7], [8], [5, 5], [8], [9], [6, 6], [8]]
[[5, 7], [4, 7], [8], [9], [7], [9], [8], [7], [7], [8], [6], [], [5, 5], [6, 6], [7], [8], [9], [9], [7], [7], [6, 6], [7], [5, 7], [8], [9]]
[[6, 6], [5, 7], [9], [5, 7], [5, 7], [], [7], [6, 6], [7], [7], [7], [5, 6], [9], [8], [8], [8], [9], [7], [8], [9], [7], [8], [7], [], [9], [4]]
[[8], [7], [5, 5], [8], [7], [6], [6], [6], [7], [7], [9], [7], [8], [9], [6], [9], [9], [7], [8], [8], [9], [7], [7], [7], [7], [4, 6], [5, 5]]
[[7], [7], [9], [5, 5], [7], [7], [8], [7], [7], [6], [7], [8], [8], [8], [6], [5, 5], [9], [6], [9], [9], [6], [7], [4], [7], [8], [6], [9], [7]]
[[6], [7], [7], [9], [7], [7], [], [6], [7], [7], [9], [6], [9], [9], [7], [6], [8], [8], [], [8], [5, 5], [8], [7], [5, 5], [8], [7], [7], [4, 6], [9]]
[[6], [6], [9], [7], [7], [4, 5], [5], [9], [7], [7], [7], [6], [7], [7], [9], [5], [], [8], [8], [6], [7], [7], [6], [8], [8], [9], [9], [7], [8], [5]]
-EndAllocation

Instance: [[1], [208], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 10, 10, 10, 10, 9], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [4, 4, 4, 4, 9, 9], [9, 9, 9]]
[[], [8, 8, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 9], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], []]
[[], [9, 9], [9, 9], [], [], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [9], [8, 9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9]]
[[9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9]]
[[8], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 8], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9]]
[[8], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 8], [4, 9], [9], [9], [9], [9], [4, 9]]
[[8], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9]]
[[9], [4, 4, 4], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [9], [9]]
[[], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [4, 4], [9]]
[[9], [9], [8], [4, 4, 4], [], [9], [], [], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [], [8], [9], [4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [8], [4, 4], [9], [], [9], [9], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [], [9], [4, 4]]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [], [9], [], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [9], [], [8], [9]]
[[], [9], [9], [9], [], [9], [8], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [], [4, 4], [8]]
[[8], [9], [], [9], [4, 4], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [4, 4], [], [], [9], [8], [9]]
-EndAllocation

Instance: [[1], [207], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 7, 7, 7, 7]]
[[8, 9], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 6, 8, 8, 8], [6, 8, 8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 4, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 9], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], []]
[[6, 6, 6, 6, 8], [6, 6, 6, 6, 6], [9, 9, 9], [9], [8, 8, 8, 8], [7, 7, 7, 7], [4, 4, 4, 4], [8, 8, 8, 9]]
[[4, 4, 4, 4, 8], [7, 7, 7, 8], [7, 9, 9], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [], [6, 6, 6, 6, 6], [9, 9, 9]]
[[4, 4, 4, 4, 6], [6, 6, 6, 6], [7, 7, 7, 7], [], [8, 8], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [9, 9], [9, 9, 9]]
[[4, 4, 4, 4, 6], [9, 9], [9, 9], [6, 6, 6, 6], [], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7], [8, 8, 8], [7], [8, 8, 9]]
[[4, 4, 4, 4, 6], [6, 6, 6, 6], [8, 8, 8], [9], [9, 9], [7, 7, 7], [6, 6, 6, 6], [9, 9], [], [7], [8, 8, 8], [8, 8]]
[[4, 4, 4, 8], [4, 8, 8], [6, 6, 6], [7, 7, 7], [9, 9], [], [8, 8], [9], [6, 6, 6], [9, 9], [8, 8], [7, 8], [6, 6, 6]]
[[6, 6], [4, 4, 8], [4, 4, 6, 6], [6, 6, 8], [9], [8, 8], [9, 9], [9, 9], [], [8, 8], [8, 8], [7, 7], [6, 7, 7], [6, 6]]
[[], [6, 6, 6], [6, 6, 6], [9], [9, 9], [8, 8], [9, 9], [8, 8], [7, 7], [6, 6, 6], [7, 7], [8, 8], [], [4, 4, 4, 4], [8, 8]]
[[4, 6, 6], [4, 6, 6], [4], [6, 9], [6, 6], [9], [9], [8, 8], [4, 6, 6], [9], [8, 8], [9], [8, 8], [7, 7], [8, 8], [7, 7]]
[[8, 8], [4, 4, 4, 4], [6, 6], [6, 6], [6, 9], [9], [9], [8, 8], [9], [6, 6], [7, 7], [7, 7], [], [8, 8], [9], [8, 8], [6, 6]]
[[6, 6], [6, 6], [6, 6], [6, 8], [6, 6], [7, 7], [9], [8], [9], [9], [8, 8], [], [8, 8], [9], [7, 7], [8, 8], [9], [4, 4, 4, 4]]
[[6, 8], [4, 8], [6, 6], [6, 6], [6, 8], [6, 8], [8], [8], [9], [9], [8], [6, 6], [7, 7], [9], [8], [7, 7], [9], [9], [4, 4, 4]]
[[4, 8], [6, 6], [6, 6], [6, 6], [7, 7], [9], [9], [8], [9], [9], [8], [], [9], [7, 7], [8], [6, 6], [4, 8], [4, 8], [4, 8], [6, 8]]
[[4, 8], [6, 6], [6, 6], [6, 6], [6, 6], [4, 8], [6, 7], [8], [8], [7], [7], [9], [9], [9], [7], [9], [8], [8], [9], [4, 8], [4, 8]]
[[4, 8], [6, 6], [6, 6], [6, 6], [9], [8], [6, 7], [7], [9], [8], [6, 6], [8], [8], [7], [8], [8], [7], [4, 4, 4], [9], [9], [8], [9]]
[[4, 4, 4], [4, 6], [8], [6, 6], [6, 6], [7], [8], [7], [7], [8], [9], [9], [6, 6], [8], [8], [6, 6], [7], [8], [8], [8], [9], [9], [9]]
[[4, 4, 4], [4, 6], [6, 6], [6, 6], [6, 6], [8], [8], [8], [7], [7], [8], [7], [8], [], [9], [9], [6, 6], [7], [9], [8], [8], [9], [8], [9]]
[[4, 7], [6], [6, 6], [6, 6], [6, 6], [6, 6], [9], [8], [8], [8], [8], [], [7], [8], [9], [], [9], [8], [8], [9], [4, 4], [7], [9], [8], [4, 7]]
[[4, 6], [7], [4, 6], [6], [7], [8], [4, 6], [9], [7], [8], [8], [8], [9], [6], [9], [8], [8], [8], [9], [7], [6], [4, 6], [6], [8], [9], [6]]
[[4, 6], [8], [8], [8], [6], [4, 6], [8], [6], [6], [8], [6], [9], [7], [9], [7], [8], [7], [9], [6], [6], [9], [8], [7], [9], [8], [4, 4], [6]]
[[7], [4, 4], [7], [8], [6], [6], [6], [6], [6], [7], [9], [8], [8], [8], [6], [8], [8], [9], [6], [9], [8], [6], [6], [7], [9], [8], [4, 4], [9]]
[[6], [7], [6], [6], [6], [4, 4], [8], [8], [9], [7], [8], [6], [8], [6], [9], [8], [8], [9], [6], [6], [7], [8], [], [6], [8], [4, 4], [9], [9], [7]]
[[6], [6], [6], [8], [6], [6], [6], [6], [6], [9], [9], [7], [8], [7], [], [6], [9], [9], [9], [4, 4], [4, 4], [8], [], [8], [8], [7], [8], [8], [7], [8]]
-EndAllocation

Instance: [[1], [206], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 9, 9, 9], [3, 4, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 8, 8, 8, 8, 9, 9, 9, 9, 9], [3, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7]]
[[9], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [5, 7, 7, 9, 9, 9, 9, 9], [3, 4, 8, 8, 8, 8, 9, 9, 9]]
[[], [8, 8, 8, 9, 9, 9], [4, 5, 5, 5, 5, 5, 5, 7, 8], [9, 9, 9, 9, 9, 9], [3, 6, 6, 6, 6, 6, 6, 6, 7]]
[[], [6, 6, 6, 6, 6, 6, 6], [7, 8, 8, 8, 8], [9, 9, 9, 9, 9], [3, 5, 5, 5, 5, 5, 7], [4, 5, 9, 9, 9, 9]]
[[], [5, 5, 5, 6, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6], [5, 5, 7], [3, 5, 8, 8, 8, 8]]
[[], [6, 6, 6, 9], [9, 9], [4, 9, 9, 9], [6, 6, 6, 6, 7], [7, 9, 9, 9], [8, 8, 8, 8], [3, 5, 5, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5, 5], [8, 8, 8], [6, 6, 6, 6, 6], [3, 9, 9, 9], [9, 9, 9], [5, 7, 8, 9], [6, 6, 7, 9], [9]]
[[], [3, 6, 6, 6, 6], [9, 9, 9], [4, 5, 7, 7], [5, 5, 5, 5, 5], [6, 9, 9], [6, 6, 8], [8, 8, 8], [9, 9, 9], [9]]
[[], [3, 6, 6, 6], [5, 9, 9], [6, 6, 6, 6], [5, 5, 5, 5, 5], [9], [9, 9], [4, 7, 8], [9, 9], [8, 8, 8], [7, 9, 9]]
[[], [9, 9], [4, 9, 9], [5, 5, 7], [], [3, 7, 9], [6, 6, 6, 6], [5, 5, 5, 5], [9, 9], [8, 8, 8], [6, 6, 8], [6, 9, 9]]
[[], [8, 9], [9], [3, 8, 8], [6, 9], [7, 9], [6, 6, 6], [4, 7, 9], [5, 5, 9], [5, 5, 5, 5], [8, 9], [6, 6, 6], [9, 9]]
[[], [9, 9], [8, 8], [6, 6], [9, 9], [5, 5, 5, 5], [6, 6, 6], [8, 8], [3, 9], [5, 5], [6, 6, 7], [9, 9], [9, 9], [4, 7]]
[[], [8, 8], [6, 6, 6], [9, 9], [3, 6, 7], [7], [4, 9], [5, 5, 5], [9, 9], [8, 8], [9, 9], [], [6, 6, 6], [5, 5, 5], [9, 9]]
[[9], [], [6, 6], [5, 5, 7], [8, 9], [4, 6, 6], [6, 9], [3, 9], [5, 5, 5], [6, 9], [8, 9], [6, 9], [5], [8, 9], [9], [7, 8]]
[[9], [8, 8], [6, 6], [6, 6], [5, 6, 6], [4, 9], [9], [5, 5, 5], [5, 9], [8, 9], [5, 9], [9], [3, 9], [], [7, 7], [9], [6, 8]]
[[9], [6, 9], [], [5, 5, 5], [4, 9], [8, 8], [6, 6], [9], [5, 5, 5], [7], [9], [6, 6], [9], [6, 7], [6, 9], [8, 8], [9], [3, 9]]
[[9], [9], [9], [9], [3, 9], [8], [6, 7], [9], [9], [4, 5, 5], [6, 6], [5, 8], [6, 6], [6, 8], [6, 8], [9], [9], [5, 7], [5, 5]]
[[9], [5, 5], [6, 6], [9], [4, 9], [6, 6], [8], [6, 7], [6, 6], [8], [5, 5], [9], [9], [9], [9], [9], [5, 9], [5, 8], [8], [3, 7]]
[[8], [5, 8], [9], [6, 6], [9], [9], [8], [9], [3, 9], [5, 8], [6, 6], [5, 7], [9], [9], [9], [6, 6], [5, 5], [5], [9], [4], [6, 7]]
[[8], [7], [9], [6, 6], [8], [4, 9], [5, 5], [8], [5, 5], [9], [9], [9], [3, 7], [6], [5, 5], [6, 6], [6, 6], [8], [9], [9], [9], [9]]
[[9], [6, 6], [5, 5], [3, 7], [6, 6], [6], [6, 6], [], [8], [4, 8], [9], [9], [9], [8], [8], [9], [9], [5, 5], [5, 5], [9], [9], [9], [7]]
[[9], [9], [5], [9], [9], [6, 6], [9], [4, 5], [], [6, 6], [7], [5], [9], [6, 6], [8], [9], [8], [8], [7], [5, 6], [5, 5], [3, 8], [9], [9]]
[[9], [], [9], [9], [9], [5, 5], [6, 6], [8], [9], [7], [], [5, 5], [9], [6, 6], [6], [8], [8], [4], [9], [7], [5, 5], [6, 6], [9], [8], [3, 9]]
[[7], [8], [9], [5, 5], [6], [3], [9], [4, 6], [8], [8], [8], [6], [5, 5], [9], [9], [9], [9], [6], [9], [6], [7], [6], [9], [6], [9], [5, 5]]
[[9], [6], [7], [5, 5], [6], [6], [4, 6], [6], [9], [3, 6], [], [5, 5], [5, 5], [], [8], [9], [7], [8], [9], [9], [8], [6], [9], [9], [9], [9], [8]]
[[9], [7], [5, 5], [9], [5, 5], [9], [6], [8], [9], [6], [8], [9], [8], [6], [6], [9], [6], [3], [], [9], [6], [9], [8], [7], [4], [9], [6], [5, 5]]
[[9], [9], [3], [9], [7], [], [9], [8], [6], [8], [8], [9], [5, 5], [4], [7], [5, 5], [], [9], [6], [6], [8], [6], [6], [5, 5], [9], [9], [9], [6], [6]]
[[6], [], [9], [5], [6], [9], [7], [9], [4, 5], [6], [9], [3], [9], [9], [9], [5], [8], [6], [8], [8], [9], [5], [8], [5], [6], [9], [7], [5], [6], [6]]
-EndAllocation

Instance: [[1], [205], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[3, 3, 3, 3, 4, 6, 6, 6, 9, 9, 9, 9], [5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [3, 4, 8, 8, 8, 9, 9, 9, 9, 9], [3, 3, 3, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 9, 9]]
[[9], [5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 9], [3, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 4, 8, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 5, 8, 8, 8], [3, 3, 3, 9, 9, 9, 9, 9], [3, 6, 6, 6, 7, 7, 9]]
[[], [6, 6, 6, 9, 9, 9], [5, 8, 8, 8], [9, 9, 9, 9, 9], [3, 3, 3, 5, 5, 5, 5, 7, 7], [3, 4, 9, 9, 9, 9]]
[[], [5, 7, 7, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 6, 6, 6, 9, 9], [5, 5, 5, 5], [3, 3, 3, 3, 8, 8, 8]]
[[], [9, 9, 9], [9, 9], [3, 3, 3, 3, 9, 9], [6, 6, 9, 9], [7, 7, 9, 9], [4, 6, 8, 8, 8], [5, 5, 5, 5, 5, 9]]
[[], [4, 5, 5, 5, 5, 5], [8, 8, 8], [3, 6, 6, 6, 9], [3, 3, 3, 9, 9], [9, 9, 9], [7, 7, 9], [9, 9, 9], [9, 9]]
[[], [3, 3, 3, 6, 6, 6], [9, 9, 9], [3, 5, 5, 5, 5, 5], [4, 7, 7, 9], [9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], []]
[[], [3, 3, 3, 6, 6], [3, 9, 9], [6, 9, 9], [5, 5, 5, 5, 5], [9, 9], [9, 9], [4, 9], [9, 9], [8, 8, 8], [7, 7, 9]]
[[], [9, 9], [4, 9, 9], [3, 5, 9], [9], [3, 3, 3, 7, 7], [6, 6, 6], [5, 5, 5, 5], [9, 9], [8, 8, 8], [9, 9], [9, 9]]
[[], [8, 9], [9], [3, 3, 3, 8], [9, 9], [9, 9], [9, 9], [4, 7, 7], [5, 9], [5, 5, 5, 5], [3, 8, 9], [6, 6, 6], [9, 9]]
[[], [9, 9], [8, 8], [9], [9, 9], [5, 5, 5, 5], [6, 6, 6], [3, 8, 9], [3, 3, 3, 9], [5, 9], [7, 7], [9, 9], [9, 9], [4]]
[[], [8, 8], [9, 9], [9, 9], [3, 7, 7], [3, 3, 3, 9], [4, 9], [5, 5, 5], [9, 9], [8], [9, 9], [], [6, 6, 6], [5, 5], [9, 9]]
[[9], [9], [6, 9], [7, 7], [3, 9], [4, 9], [6, 9], [3, 3, 3], [5, 5, 5], [9], [8, 9], [6, 9], [5, 5], [8, 9], [9], [8, 9]]
[[9], [8, 8], [6, 9], [9], [5, 6, 6], [4, 9], [9], [5, 5, 5], [9], [9], [5, 9], [9], [3, 3, 9], [9], [7, 7], [9], [3, 3, 8]]
[[9], [6, 9], [9], [5, 5], [4, 9], [8, 8], [6, 9], [9], [5, 5, 5], [3, 3, 3], [9], [6, 9], [9], [7, 7], [9], [9], [8], [3, 9]]
[[9], [9], [9], [9], [3, 3, 6], [3, 3, 6], [7, 7], [9], [9], [4, 8], [9], [5, 9], [5, 9], [9], [6, 8], [9], [9], [5, 8], [5, 5]]
[[9], [5, 9], [9], [9], [4, 9], [6, 8], [8], [7, 7], [6, 6], [3, 9], [5, 5], [9], [9], [9], [9], [9], [9], [5, 5], [8], [3, 3, 3]]
[[8], [5, 8], [9], [5, 6], [9], [9], [8], [3, 9], [3, 3, 3], [9], [6, 6], [5, 7], [9], [9], [9], [9], [5, 5], [9], [9], [4, 9], [7]]
[[], [5, 7], [9], [4, 6], [9], [9], [5, 5], [8], [9], [9], [9], [3, 9], [3, 3, 7], [3, 8], [5, 5], [6, 6], [9], [8], [9], [9], [9], [9]]
[[9], [9], [5, 5], [3, 7], [6], [6, 6], [9], [3], [3, 7], [4, 8], [9], [9], [9], [8], [8], [3, 9], [9], [5], [5, 5], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 5], [], [6], [7], [5, 5], [9], [6, 6], [8], [9], [8], [8], [3, 7], [5, 5], [9], [3, 3, 3], [9], [9]]
[[9], [], [9], [9], [9], [5, 5], [6, 6], [8], [9], [3, 7], [3, 9], [5, 5], [9], [6], [9], [8], [9], [4], [9], [7], [5], [9], [9], [8], [3, 3]]
[[7], [9], [9], [5], [9], [3, 3, 3], [9], [4], [8], [8], [8], [6], [5, 5], [9], [9], [9], [9], [9], [9], [6], [7], [5, 5], [9], [6], [9], [3]]
[[9], [9], [7], [5], [6], [9], [4], [9], [9], [3, 3, 3], [9], [5, 5], [5, 5], [], [6], [9], [7], [8], [3], [9], [8], [6], [9], [9], [9], [9], [8]]
[[9], [7], [5, 5], [9], [5, 5], [], [9], [8], [9], [6], [8], [9], [8], [6], [9], [9], [6], [3, 3, 3], [], [9], [], [9], [9], [3, 7], [4], [9], [9], [5]]
[[9], [9], [3, 3, 3], [9], [7], [], [9], [8], [6], [8], [], [9], [5, 5], [4], [7], [3, 5], [], [9], [9], [9], [8], [6], [9], [5, 5], [9], [9], [9], [], [6]]
[[8], [], [9], [5], [9], [9], [8], [9], [4, 5], [9], [9], [3, 3, 3], [9], [9], [9], [], [3, 5], [6], [9], [7], [7], [], [9], [5], [6], [9], [], [5], [6], [8]]
-EndAllocation

Instance: [[1], [204], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,30. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9], [8, 9]]
[[9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9], []]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9]]
[[], [9, 9], [8], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [4, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 9], [9], [9], [9]]
[[9], [8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 8], [4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [8], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [8], [9], [9]]
[[9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [8], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [4], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4], [4, 4, 4], [8], [], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [], [4, 4, 4], [9], [4], [9], [8], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [4, 4], [9], [4], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [9], [4], [4, 4], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [9], [9], [], [9], [9], [8], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4], [], [4, 4], [9], [9], [9], [4], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [4, 4], [], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [4, 4], [9], [9], [8], [], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4], []]
[[], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [4], [], [9], [], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [217], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 9], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 8, 8, 9]]
[[9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9]]
[[], [4, 4], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 9], [9, 9], []]
[[], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9], [9], [9, 9], [9, 9]]
[[9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9]]
[[9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [8, 8], [4, 9], [9]]
[[9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 8], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 9], [8], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [9], [9], [4, 9], [4, 4, 4], [9], [8], [4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9]]
[[], [9], [9], [9], [8], [9], [9], [4, 9], [4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [8], [9], [9], [4, 9], [], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [], [8], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[8], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [], [9], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 8], [], [9], [], [9], [9], [9], [], [4, 4], [9], [9]]
[[9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [8], [8], [4, 4], [9], [4, 4], [4, 4], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [8], [9], [9], [9], [], [4, 4], [8], [9], [4, 4], [], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9]]
[[9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [9], [8], [], [9], [4, 4], [], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [], [], [9], [9]]
[[9], [9], [9], [], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [8], [], [8], [4, 4], [9], [4, 4], [4, 4], [4, 4], [4, 4], [], [9], [9], [4, 4], [9], [9], []]
-EndAllocation

Instance: [[1], [216], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [9]]
[[], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9], [9, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 8], [8, 8], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [8, 8], [4, 4, 9], [], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [8]]
[[], [9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [8, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[9], [9], [4, 4, 9], [9], [9], [8, 9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 8], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [8, 8], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4], [4, 8], [4, 9], [4, 9], [9], [8], [9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [8], [4, 9], [8], [9], [4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [4, 9], [8], [9], [9], [8], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4], [9], [8], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [8]]
[[8], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 8], [], [9], [9], [9], [9], [9], [8], [9], [4, 4]]
[[9], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [8], [8], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9]]
[[9], [9], [], [9], [9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [4, 4], [4, 4], [9], [], [8], [], [9], [9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [9]]
[[9], [9], [4, 4], [], [9], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [8], [], [8], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [], [9], [9], [4, 4], [8], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [8], [9], [9], [8], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [], [4, 4]]
[[], [9], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [8], [9], [8], [9], [8], [9], [9], [4, 4], [9], [], [9], [], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [215], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9], [3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 5, 5, 5, 5, 6], [6, 6, 6, 9, 9, 9, 9, 9, 9]]
[[3, 4, 5, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [7, 7], [5, 5, 5, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 7, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [6, 6, 8, 8, 8, 8], [5, 5, 5, 5], [3, 6, 6, 9]]
[[3, 4, 7, 7, 7, 7], [], [5, 7, 8, 8, 8], [8, 8, 9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 6, 6, 6, 6], [9, 9, 9, 9]]
[[7, 7, 7], [3, 4, 5, 7, 7, 7], [7, 8], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 5, 9, 9]]
[[3, 7, 7, 7, 7], [6], [5, 7, 7], [4, 5, 5, 6, 6, 6], [5, 9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [8], [9, 9, 9]]
[[7, 7, 7, 7], [7, 7, 7, 7], [3, 6, 6, 6, 6], [4, 8, 8, 8], [9, 9, 9], [], [7, 7], [9, 9, 9], [8], [5, 5, 5, 5, 8]]
[[3, 4, 7], [7, 7, 7], [5, 5, 5, 5], [7, 7, 7], [8, 8, 8], [9], [7, 7, 7], [9, 9], [8, 8, 9], [6, 6, 6, 6], [9, 9]]
[[3, 7, 7, 7], [4, 7], [7, 7, 7], [5, 5, 5, 5], [], [6, 6, 6, 6], [7, 7, 7], [8, 8, 8], [8, 8], [9, 9], [9, 9], [9, 9]]
[[7, 7, 7], [3, 4, 5, 7], [7, 7, 7], [], [9, 9], [7, 7, 7], [], [6, 6, 6], [6, 8, 8], [9, 9], [5, 5, 8], [9, 9], [5, 8, 8]]
[[3, 4, 7], [7, 7, 7], [7, 7, 7], [8, 8], [], [6, 6, 6], [9, 9], [7, 7, 7], [], [5, 5, 5, 5], [8, 8], [9, 9], [9, 9], [6, 8]]
[[3, 4, 8], [6, 7, 7], [7, 7], [7, 7], [9, 9], [8, 8], [8, 8], [9, 9], [], [], [7, 7], [7, 7], [6, 6, 6], [5, 5, 5, 5], [9, 9]]
[[3, 4, 5], [7, 7], [7, 7], [7, 7], [9, 9], [8, 8], [6, 6, 6], [8, 8], [6], [5, 5, 5], [], [7, 7], [8], [9, 9], [7, 7], [9, 9]]
[[3, 7, 7], [7, 7], [7, 7], [7, 7], [4, 9], [8, 8], [8, 9], [8, 8], [5, 5, 5], [7, 7], [6, 6], [], [9], [9], [9], [6, 6], [5, 9]]
[[3, 4, 9], [7, 7], [7, 7], [7, 7], [8, 8], [6, 6], [7, 7], [9], [6, 6], [], [9], [5, 9], [8], [8, 8], [9], [9], [5, 5, 5], [7, 7]]
[[7, 7], [7, 7], [3, 4, 8], [6, 9], [6, 8], [9], [9], [], [7, 7], [5, 5, 5], [8, 8], [7, 7], [], [7, 7], [], [6, 8], [5, 9], [9], [6, 9]]
[[3, 9], [8], [7, 7], [7, 7], [7, 7], [8], [7, 7], [8], [6, 6], [9], [7, 7], [9], [8], [5, 5], [9], [5, 5], [4, 9], [8], [6, 6], [9]]
[[7, 7], [7, 7], [4, 8], [7, 7], [9], [5, 5], [8], [5, 5], [6, 6], [], [9], [7, 7], [9], [8], [9], [9], [6, 6], [8], [8], [7, 7], [3, 9]]
[[4, 8], [5, 7], [5, 7], [8], [9], [8], [6, 7], [8], [5, 7], [6, 7], [9], [7], [9], [9], [9], [9], [8], [6, 6], [7], [3, 7], [7], [5, 7]]
[[5, 7], [3, 8], [4, 7], [9], [7], [8], [9], [7], [9], [8], [8], [9], [6, 7], [7], [7], [5, 5], [7], [6, 6], [9], [6, 7], [9], [8], [5, 7]]
[[4, 7], [9], [6, 6], [5, 7], [8], [5, 7], [5, 7], [8], [7], [9], [7], [9], [8], [8], [3, 7], [9], [], [9], [9], [7], [8], [6, 6], [5, 7], [7]]
[[3, 8], [5, 7], [7], [9], [7], [6, 6], [9], [7], [9], [8], [5, 5], [7], [7], [7], [9], [7], [7], [8], [6, 6], [9], [8], [], [9], [4, 8], [5, 7]]
[[6, 6], [4, 8], [3, 7], [6], [7], [8], [7], [8], [7], [7], [8], [8], [5, 5], [9], [5, 5], [9], [9], [9], [9], [9], [7], [7], [7], [6], [7], [7]]
[[3, 6], [7], [7], [7], [8], [9], [7], [7], [8], [7], [7], [5, 5], [9], [9], [9], [5, 5], [4, 6], [6], [8], [9], [9], [8], [6], [7], [7], [7], [8]]
[[9], [3, 7], [7], [7], [8], [7], [4], [6], [7], [7], [6], [7], [9], [8], [5, 5], [9], [7], [8], [7], [6], [8], [6], [7], [9], [9], [8], [9], [5, 5]]
[[3, 6], [7], [9], [7], [7], [7], [8], [4, 6], [9], [], [7], [6], [6], [7], [9], [], [5, 5], [7], [7], [8], [8], [9], [7], [7], [9], [8], [9], [5, 5], [8]]
[[7], [7], [7], [4, 6], [7], [], [8], [9], [9], [7], [6], [8], [8], [6], [], [8], [9], [5, 5], [], [7], [9], [8], [7], [9], [9], [7], [6], [7], [5, 5], [3, 7]]
[[7], [7], [7], [9], [7], [7], [7], [7], [8], [3, 4], [8], [9], [6], [], [6], [8], [9], [5], [9], [7], [9], [7], [8], [6], [5], [7], [5], [6], [9], [5], [8]]
-EndAllocation

Instance: [[1], [214], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8]]
[[5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 8, 8, 8, 8]]
[[4, 4, 4, 5, 5, 5, 5, 6, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7], [6, 9, 9, 9, 9, 9, 9]]
[[6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [4, 4, 4, 8, 8, 8, 8], [], [5, 5, 5, 5, 6, 6, 9]]
[[7, 7, 7, 7, 7], [], [4, 4, 4, 7, 7, 8], [8, 8, 8, 9], [7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 9], [9, 9, 9, 9]]
[[7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [], [4, 4, 4], [9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 7, 7, 9], [5, 5, 5, 5, 9]]
[[4, 7, 7, 7, 7], [], [7, 7, 7, 7], [4, 4, 5, 5, 6, 6], [5, 5, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [9], [9, 9, 9]]
[[7, 7, 7, 7], [7, 7, 7, 7], [6, 6], [4, 4, 4, 8, 8], [9, 9, 9], [], [7, 7, 7, 7], [9, 9, 9], [8, 8], [5, 5, 5, 5]]
[[5, 7, 7, 7], [7, 7, 7], [4, 4, 5, 5, 5], [4, 7, 7, 7], [8, 8, 8], [], [7, 7, 7], [9, 9], [8, 9, 9], [6, 6], [9, 9]]
[[7, 7, 7], [7, 7, 7], [7, 7, 7], [5, 5, 5, 9], [], [6, 6, 9], [4, 4, 4, 7], [8, 8, 8], [], [9, 9], [5, 9, 9], [7, 7, 8]]
[[7, 7, 7], [7, 7, 7], [7, 7, 7], [], [9, 9], [7, 7, 7], [], [6, 6, 8], [4, 4, 4, 8], [9, 9], [5, 5, 5, 5], [9, 9], [8, 8]]
[[7, 7, 7], [7, 7, 7], [7, 7, 7], [8, 8], [], [6, 6], [9, 9], [7, 7, 7], [], [5, 5, 5, 5], [8, 8], [9, 9], [9, 9], [4, 4, 4]]
[[7, 7], [7, 7], [7, 7], [7, 7], [8], [4, 4, 4, 8], [8, 8], [9, 9], [], [6, 6], [7, 7], [7, 7], [9, 9], [5, 5, 5, 5], [9, 9]]
[[7, 7], [7, 7], [7, 7], [7, 7], [9, 9], [8, 8], [6, 6], [8, 8], [5], [5, 5, 5], [], [7, 7], [9, 9], [4, 4, 4], [7, 7], [9, 9]]
[[7, 7], [7, 7], [7, 7], [7, 7], [9], [7, 7], [8, 8], [8, 8], [5, 5, 5], [7, 7], [5, 9], [4, 4, 9], [], [9], [9], [6, 6], [4, 9]]
[[7, 7], [7, 7], [7, 7], [7, 7], [8, 8], [], [8, 8], [5, 9], [6, 6], [], [9], [7, 9], [9], [9], [4, 4, 4], [7, 9], [5, 5, 5], [7, 7]]
[[7, 7], [7, 7], [8, 8], [6, 9], [], [9], [7, 9], [4, 4, 4], [7, 7], [5, 5, 5], [8, 8], [7, 7], [], [7, 7], [], [5, 9], [6, 9], [7, 9], []]
[[9], [7, 7], [7, 7], [7, 7], [7, 7], [9], [8], [8], [7, 7], [4, 4, 4], [7, 7], [9], [8], [5, 5], [], [6, 6], [5, 9], [8], [5, 9], [9]]
[[7, 7], [7, 7], [7, 7], [7, 7], [9], [5, 5], [8], [4, 4, 4], [8], [], [9], [7, 7], [9], [8], [9], [9], [5, 5], [9], [8], [7, 7], [6, 6]]
[[4, 9], [4, 9], [4, 7], [9], [6, 7], [5, 7], [7], [7], [7], [7], [9], [7], [9], [8], [7], [7], [8], [5, 8], [9], [5, 8], [6, 7], [5, 7]]
[[4, 7], [4, 7], [7], [7], [5, 7], [7], [7], [9], [7], [9], [8], [7], [7], [5, 7], [9], [5, 7], [5, 8], [6, 6], [9], [9], [9], [4, 8], [8]]
[[5, 7], [7], [7], [8], [7], [7], [7], [7], [7], [9], [9], [9], [8], [8], [8], [5, 7], [9], [9], [5, 7], [5, 7], [9], [4, 4, 4], [6, 6], [7]]
[[8], [7], [7], [7], [7], [9], [5, 7], [7], [9], [8], [4, 4, 4], [9], [7], [7], [7], [7], [8], [8], [6, 6], [7], [9], [9], [9], [5, 5], [5, 7]]
[[4, 7], [5, 7], [4, 7], [8], [7], [7], [5, 7], [8], [7], [9], [], [], [9], [9], [5, 5], [4, 8], [7], [9], [7], [9], [6, 6], [8], [9], [7], [7], [7]]
[[7], [4, 4], [7], [7], [7], [7], [9], [7], [5, 5], [7], [9], [5, 5], [7], [8], [6], [7], [4, 6], [7], [8], [9], [9], [8], [7], [9], [7], [8], [9]]
[[7], [7], [7], [7], [7], [7], [7], [8], [7], [7], [4, 6], [5, 5], [9], [8], [5, 5], [4, 4], [7], [7], [7], [], [8], [6], [9], [9], [9], [8], [9], [9]]
[[7], [7], [7], [7], [7], [7], [7], [], [9], [4, 4], [7], [6], [6], [8], [9], [8], [5, 5], [7], [9], [4], [8], [9], [7], [7], [9], [9], [7], [5, 5], [8]]
[[7], [7], [7], [7], [7], [7], [7], [], [9], [7], [6], [8], [8], [4, 6], [8], [], [9], [5, 5], [], [8], [9], [7], [9], [9], [9], [4, 4], [7], [7], [5, 5], [7]]
[[7], [7], [7], [7], [7], [7], [7], [7], [7], [8], [4, 4], [9], [8], [], [], [8], [9], [6], [9], [5], [9], [7], [7], [6], [5], [8], [9], [7], [5], [9], [4, 5]]
-EndAllocation

Instance: [[1], [213], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], []]
[[], [9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [8], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [4, 4, 4, 9], [], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9]]
[[], [4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[9], [4, 9], [4, 4, 9], [9], [9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 8], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [9], [], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [4, 9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9]]
[[9], [9], [9], [4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [4]]
[[9], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9]]
[[9], [9], [], [9], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [], [8], [9], [9], [9], [9], [9], [4, 4], [9], [], [4, 4], [9], [9]]
[[9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [8], [], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4]]
[[9], [], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [], [4, 4]]
[[], [9], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [8], [9], [4], [9], [9], [9], [9], [4, 4], [9], [], [9], [], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [212], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], []]
[[], [9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [4, 4, 4, 9], [], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], []]
[[], [4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[9], [4, 9], [4, 4, 9], [9], [9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4, 4]]
[[9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [8, 8], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [8], [9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [9], [], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [4, 9], [9], [9], [9], [8], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9]]
[[9], [9], [9], [4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [8], [9], [4]]
[[9], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9]]
[[9], [9], [], [9], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [], [8], [], [9], [9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [9]]
[[9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [8], [], [8], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4]]
[[9], [], [9], [], [9], [9], [4, 4], [8], [4, 4], [9], [9], [9], [], [9], [4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [], [4, 4]]
[[], [9], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [8], [9], [4], [9], [8], [9], [9], [4, 4], [9], [], [9], [], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [211], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]; Results for m' = 2,...,31. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,31:
-StartAllocation
[[4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8]]
[[2, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [2, 7, 7, 7, 7, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8], [4, 4, 4, 9, 9, 9, 9, 9], [6], [2, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8, 8], [2, 8, 8, 9], [4, 4, 4, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6], [], [6, 6, 9, 9, 9, 9]]
[[2, 4, 4, 4, 6, 6, 6, 6], [8, 8], [7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9], [8, 9, 9, 9]]
[[2, 6, 6, 6, 8, 8], [6, 8, 8, 9], [9, 9, 9, 9], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [4, 4, 4, 7, 7, 7], [7]]
[[2, 6, 6, 8, 8], [6, 6, 6], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9], [9, 9, 9], [7, 7, 7, 7], [4, 4, 4, 8, 8], []]
[[4, 6, 6, 6, 6], [2, 4, 4, 8, 8], [6, 6, 6, 6], [6, 6], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [9, 9, 9], [], [9, 9]]
[[2, 4, 4, 4, 9], [6, 6, 6, 8], [6, 6, 6, 8], [8, 9, 9], [8, 8], [6, 6, 6, 6], [], [], [7, 7, 9], [7, 7, 9], [8, 8, 8]]
[[2, 8, 9], [7, 8, 8], [6, 9, 9], [7, 8], [4, 4, 4, 8], [6, 6, 6, 6], [8], [6, 8], [7, 7, 8], [9, 9], [], [6, 6, 6, 6]]
[[2, 4, 4, 9], [6, 6, 6], [6, 6, 6], [7, 8], [6, 8], [8, 8], [], [7, 7, 7], [9, 9], [4, 8, 8], [6, 6, 6], [8, 8], [9, 9]]
[[2, 4, 4, 4, 6], [6, 6, 8], [6, 6, 6], [8, 9], [6, 6, 6], [8, 8], [9, 9], [8, 8], [7, 7, 7], [6], [9, 9], [7], [8, 8], []]
[[2, 6, 6, 6], [4, 4, 4, 6], [], [6, 6, 6], [7, 7], [8, 8], [8, 8], [8], [], [9, 9], [9, 9], [8, 8], [7, 7], [6, 6, 6], [8, 9]]
[[2, 6], [6, 6, 6], [6, 6, 6], [7, 7], [4, 4, 4], [9, 9], [7, 7], [9, 9], [], [6, 6, 6], [8, 8], [8, 8], [8, 8], [], [8, 8], [9]]
[[2, 6, 6], [4, 4, 9], [6, 6], [6, 6], [6, 6], [8, 8], [8, 8], [8, 8], [7, 7], [9], [], [6, 6], [], [8, 9], [7, 7], [8, 9], [4, 9]]
[[2, 6, 6], [4, 6, 6], [4, 6, 6], [4, 6, 6], [8, 8], [], [7, 9], [], [8, 8], [9], [], [7, 9], [9], [8, 8], [6, 6], [8, 8], [7, 7], [9]]
[[2, 4, 9], [4, 6, 6], [6, 6], [4, 6, 6], [6, 6], [], [8, 8], [6, 6], [7], [7, 7], [7, 9], [9], [], [], [9], [8, 8], [8, 8], [9], [8, 8]]
[[6, 8], [6, 6], [6, 6], [6, 6], [8], [9], [8], [9], [7, 7], [6, 6], [9], [8], [9], [7, 7], [2, 8], [9], [8], [8], [4, 4, 4], [6, 8]]
[[2, 6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [7, 7], [8], [8], [8], [8], [8], [9], [8], [9], [4, 4, 4], [9], [7, 7], [8], [9], [8], [9]]
[[6, 6], [4, 8], [6, 6], [6, 6], [6, 6], [2, 7], [9], [9], [9], [9], [8], [9], [6, 6], [8], [8], [8], [4, 8], [7], [7], [8], [7], [4, 8]]
[[6, 6], [2, 9], [6, 6], [6, 6], [6, 6], [8], [8], [9], [8], [4, 4, 4], [9], [6, 6], [7], [9], [8], [7], [7], [8], [7], [8], [9], [8], [8]]
[[2, 7], [6, 6], [6, 6], [6, 6], [6, 6], [9], [], [9], [8], [8], [9], [8], [9], [7], [8], [8], [8], [7], [7], [8], [9], [6, 6], [4, 8], [4, 4]]
[[2, 8], [4, 4, 4], [6, 6], [6, 6], [6, 6], [9], [6, 6], [8], [8], [7], [7], [8], [7], [9], [9], [], [6, 6], [], [8], [9], [9], [8], [8], [8], [7]]
[[2, 9], [4, 4, 4], [6, 6], [6, 6], [6, 6], [6, 6], [8], [8], [8], [7], [], [9], [9], [9], [7], [], [9], [8], [7], [6, 6], [8], [7], [8], [8], [], [8]]
[[9], [2, 7], [8], [4, 6], [9], [4, 6], [8], [4, 6], [8], [9], [9], [7], [8], [8], [6], [7], [9], [6], [6], [8], [6], [6], [8], [6], [6], [7], [8]]
[[2, 7], [7], [9], [7], [4, 6], [4, 6], [7], [8], [9], [6], [8], [6], [9], [6], [8], [6], [8], [9], [8], [8], [6], [8], [8], [], [6], [6], [9], [4, 6]]
[[8], [7], [4, 6], [6], [4, 4], [6], [6], [6], [8], [], [2, 8], [8], [6], [9], [8], [8], [7], [8], [9], [6], [6], [9], [9], [9], [7], [6], [6], [7], [8]]
[[2, 4, 4], [8], [6], [4], [8], [6], [6], [6], [], [9], [7], [9], [8], [6], [8], [6], [6], [7], [8], [9], [8], [8], [6], [6], [8], [7], [9], [6], [7], [9]]
[[8], [4, 4], [8], [2, 6], [6], [6], [8], [], [6], [6], [7], [], [6], [7], [6], [7], [6], [9], [6], [8], [7], [9], [8], [9], [8], [9], [8], [9], [6], [8], [4]]
-EndAllocation

Instance: [[1], [224], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9], [7, 9, 9, 9], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [7, 8, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [7, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [8, 8, 9], [7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [8, 8, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [8, 8]]
[[], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [7], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [8, 8], [7, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [], [9, 9], [8, 8]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [7, 9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [7, 9], [4, 9], [9]]
[[9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [9], [8, 8], [4, 9], [9], [9], [9], [7, 9], [9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [8], [9], [9], [4, 9], [4, 9], [4, 8], [4, 9], [7], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [7], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [8], [9], [9], [9], [4, 9], [8]]
[[9], [4, 9], [4, 7], [8], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [8], [7], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [4, 4, 4], [9], [8], [9], [9], [9]]
[[7], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [8], [9], [8]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [8], [9], [], [9], [9], [4, 4], [9], [4, 4, 4], [4, 8], [9], [], [9], [7], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [8], [7], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [9]]
[[9], [9], [9], [4, 4], [4, 4], [8], [9], [], [4, 4], [7], [8], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [], [4, 4], [9], [], [], [9], [9], [7], [8]]
[[8], [4, 4], [9], [8], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [7]]
[[8], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [7], [9], [8], [9], [9], [9], []]
-EndAllocation

Instance: [[1], [223], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[9, 9], [8, 8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [3, 3, 9, 9, 9, 9, 9, 9, 9]]
[[], [3, 3, 8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [3, 3, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9, 9], [3, 3, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 8, 9], [9, 9, 9, 9], [4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [8, 8, 8, 9], [9, 9, 9], [3, 3, 9, 9], [9, 9, 9]]
[[], [3, 3, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [8, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [8, 8, 8], [3, 3, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9]]
[[9], [8, 8, 8], [3, 3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [3, 3, 9, 9], [8, 8, 8]]
[[], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [3, 3], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [3, 3, 9], [9, 9], [9], [8, 9], [9, 9], [9, 9]]
[[], [9, 9], [3, 3, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 8], [9, 9], [9, 9], [9, 9], [], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [8, 8], [], [], [9, 9], [3, 3, 9], [4, 4, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [3, 3, 9], [8, 9], [8, 9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [8, 8], [9], [9], [4, 9], [4, 9], [3, 3, 9], [8]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [8, 8], [3, 3, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 8]]
[[9], [9], [9], [4, 8], [3, 3, 8], [9], [9], [9], [9], [9], [4, 8], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [3, 3, 8], [4, 4, 4], [8], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [8]]
[[8], [8], [4, 4, 4], [9], [9], [9], [3, 8], [9], [3, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [3, 3], [9], [9], [4, 4, 4], [8], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [], [9], [9], [9], [4, 8], [9], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [3, 3, 4], [9], [4, 8], [9], [9], [9]]
[[9], [9], [9], [9], [4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [3, 9], [], [8], [3, 8], [8]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [3, 3], [8], [9], [], [8], [9], [9], [9], [4, 4, 4], [4, 8], [9], [], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [8], [8], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [3, 3]]
[[9], [9], [9], [4, 4], [4, 4], [8], [8], [3, 3], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [8], [9], [4, 4], [9], [3, 3, 4], [9], [8], [9], [], [4, 4], [9], [], [9], [9], [9], [4], [8]]
[[8], [4, 4], [9], [8], [], [9], [8], [], [9], [9], [9], [9], [3, 3], [9], [9], [9], [4, 4], [], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[8], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [8], [3, 3], [9], [8], []]
-EndAllocation

Instance: [[1], [222], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [8, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [8, 9, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[9], [8, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [4, 9, 9], [9, 9], [9, 9], [8, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4], [9, 9], [8]]
[[], [9, 9], [9, 9], [9, 9], [9], [9, 9], [8, 9], [4], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [8], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [4], [9], [9], [8]]
[[], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [9], [], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [9]]
[[9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [4], [], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [], [4, 4], [9], [], [9], [9], [9], [4, 4], []]
[[9], [4, 4], [9], [8], [], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9]]
[[8], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [4]]
-EndAllocation

Instance: [[1], [221], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [9, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], []]
[[], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4]]
[[], [9, 9], [9, 9], [], [9, 9], [9, 9], [], [4, 8, 8], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4]]
[[], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [4, 9], [4, 4, 4, 4]]
[[9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [9]]
[[9], [9], [8, 9], [9], [4, 4, 4, 4], [9], [8, 9], [9], [9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9]]
[[9], [9], [4, 9], [8, 8], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 8], [9], [4, 4, 4], [9], [4, 8], [4, 9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [4, 4, 4], [], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [4], [9], [], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [8], [], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4], [9], [9]]
[[9], [8], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [9], [4], [4, 4], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [], [9], [], [8], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [8], [4, 4], [4, 4], [9], [9], [4], [9], [4, 4]]
[[9], [], [4, 4], [], [9], [8], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4]]
[[8], [9], [9], [], [9], [9], [], [4, 4], [9], [9], [9], [8], [9], [4], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [], [9], [4, 4], [9], [4, 4]]
[[9], [8], [9], [], [], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [4], [9], [9], [], [9], [4, 4], [4, 4], [], [9], [9], [8], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [220], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[9], [8, 8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 8, 8, 8]]
[[], [9, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 8, 8, 8]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4], [8, 8, 8, 9], [4, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9], [8, 9], [9, 9], [8, 8]]
[[], [], [4, 4, 4, 4], [9, 9], [4, 9], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9]]
[[9], [4, 9], [9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 4, 4]]
[[9], [9], [4, 9], [9], [9], [8, 9], [9], [8, 8], [9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [8, 8], [9], [9], [4, 9]]
[[8], [4, 9], [4, 9], [4, 8], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [8], [9], [4, 9], [9], [9], [4, 8]]
[[9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [8], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [4, 8], [9]]
[[9], [4, 4, 4], [], [9], [9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [8], [4, 4, 4], [8], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 8], [9], [], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [4], [9], [9], [9], [8], [9], [9], [8], [4, 4, 4]]
[[9], [9], [8], [4], [9], [9], [8], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [], [9], [9], [8], [4], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [8], [9]]
[[], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [4], [9], [8], [9], [9], [9]]
[[9], [4, 4], [9], [], [9], [9], [4, 4], [8], [9], [4, 4], [9], [9], [8], [], [9], [9], [], [4, 4], [4, 4], [8], [9], [9], [9], [4], [9], [4, 4], [9], [9], [9]]
[[9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [8], [4], [], [], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [8], [4, 4], [], [], [9], [4, 4], [9], [], [4, 4], [8], [8], [9], [4, 4], [4]]
[[9], [4, 4], [], [9], [], [9], [9], [9], [], [4, 4], [8], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [4, 4], [], [9], [9], [9], [9], [4], [9], [], [9], [8]]
-EndAllocation

Instance: [[1], [219], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [6, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9], [4, 4, 4, 8, 9]]
[[], [9, 9, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 8]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4], [4, 8, 9, 9], [6, 9, 9, 9]]
[[], [9, 9, 9], [8], [9, 9, 9], [4, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 6]]
[[9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [6, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [6, 9], [4, 4, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9], [4, 4, 4], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9], [9, 9], [9, 9], [6, 8]]
[[], [], [4, 4, 4, 4], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [6, 9], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [6, 9], [4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [9], [9], [8, 9], [9], [4, 4, 4, 4], [4, 4, 9], [6, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [6, 9], [4, 9], [8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [6, 8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [6], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [6], [9], [4, 9], [9], [4, 9], [8], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [4, 9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [6], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [9], [], [8], [6], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [6], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [4], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [6], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [], [9], [9], [9], [4], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [6], [9], [], [4, 4, 4], [9], [9], [9]]
[[], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4], [9], [9], [9], [9], [6]]
[[9], [4, 4], [9], [], [9], [9], [4, 4], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [6], [9], [9]]
[[9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [6], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4], [], [], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [6], [9], [], [4, 4], [9], [8], [4, 4], [], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [4]]
[[9], [4, 4], [], [9], [], [9], [9], [6], [], [4, 4], [4], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4]]
-EndAllocation

Instance: [[1], [218], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,32. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,32:
-StartAllocation
[[6, 6, 8, 9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [4, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6]]
[[4, 6, 6], [5, 5, 5, 7, 7, 7, 7, 7, 7, 8], [8, 8, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8]]
[[5, 7, 7, 7, 7], [5, 6, 6], [4, 5, 5, 5, 9, 9, 9, 9], [5, 5, 7, 7, 8, 8, 9, 9], [5, 5, 5, 8, 8, 8, 8, 8]]
[[5, 8, 9], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [6, 6], [4, 9, 9, 9, 9, 9]]
[[5, 5, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8], [4], [7, 7, 7, 7, 7, 7], [6, 6, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5]]
[[4, 8], [6, 6, 7], [5, 5, 5, 5, 5, 8], [7, 8, 8], [9, 9, 9, 9], [5, 7, 9, 9], [5, 5, 7, 7, 7], [5, 5, 8, 8, 8]]
[[6, 6, 9, 9], [5, 5, 5, 5, 5, 5], [5, 7, 7, 7, 7], [], [4, 8, 9, 9], [5, 5, 5, 8, 8], [], [8, 8, 8, 8], [7, 7, 9, 9]]
[[4, 5, 5, 6, 6], [5, 8, 8, 8], [9], [5], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [8, 8, 8], [5, 9, 9], [7, 7, 8]]
[[], [7, 7, 7], [8, 8, 8], [7, 7, 7], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [9, 9], [9], [8, 8, 8], [4, 6, 6, 9], [8, 9, 9]]
[[6, 6, 7], [5, 8, 9], [7, 9, 9], [], [8, 8, 8], [9], [5, 5, 5, 5, 5], [7, 7], [4, 5, 5, 5, 5], [8, 8, 8], [9, 9], [7, 7]]
[[4, 8], [5, 5, 6, 6], [5], [5, 7, 7], [5, 5, 5, 5], [8, 8], [7, 8], [7, 7, 7], [9, 9], [8, 8], [5, 5, 8], [9, 9], [9, 9]]
[[5, 9], [], [8, 8], [5, 5, 5, 5], [8, 9], [6, 6, 9], [9, 9], [5, 8, 8], [], [7, 7, 7], [9], [7, 7, 7], [5, 8, 8], [4, 5, 5, 5]]
[[5, 5, 5, 5], [5, 6, 6], [], [7], [7, 8], [9, 9], [9, 9], [5, 7, 7], [8, 8], [4, 8, 8], [8, 8], [5, 5, 5, 5], [9, 9], [7, 7], []]
[[6, 9], [5, 5, 5], [5, 5, 5], [5, 5, 5], [9], [], [4, 9], [5, 7], [7, 7], [7, 8], [7, 7], [9, 9], [8, 8], [8, 8], [8, 8], [6, 9]]
[[5, 6, 6], [5, 5, 7], [9], [], [7, 7], [8, 9], [9], [9], [4, 8], [9], [5, 5, 5], [7, 7], [8, 9], [8, 8], [8, 8], [5, 7], [5, 5, 5]]
[[5, 5], [5, 5, 5], [5, 9], [4, 6, 6], [5, 7], [9], [8, 9], [7], [7, 9], [7, 8], [8, 8], [5, 5, 5], [], [8, 8], [], [8, 9], [7], [7, 9]]
[[5, 5, 5], [8], [], [6, 6], [], [5, 9], [9], [7, 7], [8, 8], [7, 7], [9], [8, 8], [5, 5, 5], [9], [8, 8], [4, 9], [7, 7], [9], [5, 5, 5]]
[[], [8], [7, 7], [8], [6, 6], [5, 9], [5, 9], [5, 8], [7, 7], [4, 5], [7, 7], [9], [8], [5, 9], [9], [5, 8], [5, 9], [8], [5, 8], [5, 5]]
[[7, 7], [8], [4, 5, 5], [6, 6], [5, 5], [9], [9], [9], [9], [7, 7], [9], [8], [5, 5], [8], [9], [7, 7], [5, 8], [5, 5], [8], [8], [5, 8]]
[[8], [7], [6, 6], [5, 7], [5, 7], [5, 7], [9], [5, 8], [9], [5, 8], [7], [5, 5], [9], [9], [9], [8], [7], [9], [8], [4, 8], [5, 5], [5, 8]]
[[9], [8], [9], [8], [5, 5], [9], [5, 6], [7], [4, 5], [8], [9], [5, 5], [5, 7], [8], [9], [7], [8], [6, 7], [5, 8], [7], [9], [5, 7], [5, 8]]
[[8], [5, 5], [5, 5], [5, 5], [7], [8], [9], [7], [7], [8], [8], [9], [8], [5, 7], [9], [7], [9], [5, 8], [7], [4, 9], [9], [6, 6], [8], [5, 5]]
[[8], [8], [7], [6, 6], [7], [9], [5, 7], [5, 5], [5, 5], [9], [8], [9], [9], [9], [8], [8], [8], [5, 5], [9], [], [4, 7], [5, 5], [8], [7], [5, 7]]
[[5, 5], [7], [], [], [5, 7], [6, 6], [8], [8], [8], [7], [7], [4, 7], [9], [5, 5], [5, 7], [9], [9], [9], [5, 5], [5, 5], [8], [8], [8], [8], [9], [9]]
[[4, 5], [5, 5], [9], [], [8], [9], [6, 6], [5, 5], [7], [9], [7], [7], [7], [5, 5], [7], [8], [8], [8], [9], [9], [8], [9], [7], [8], [5, 5], [8], [5]]
[[4], [5, 5], [5, 5], [7], [8], [], [7], [6], [7], [8], [5, 5], [5, 5], [8], [9], [9], [9], [6], [5, 5], [7], [8], [9], [8], [9], [7], [9], [8], [8], [7]]
[[5, 5], [9], [8], [9], [8], [], [6], [7], [7], [5, 5], [9], [8], [6], [9], [7], [8], [7], [5, 5], [8], [8], [5, 5], [4], [9], [8], [5, 5], [], [7], [7], [9]]
[[5], [], [6], [8], [5, 5], [], [7], [7], [6], [5, 5], [7], [8], [9], [8], [8], [5], [9], [7], [5, 5], [4], [9], [8], [8], [5, 5], [8], [7], [9], [9], [7], [9]]
[[5, 5], [], [], [8], [5, 5], [7], [8], [6], [7], [9], [5, 5], [8], [], [9], [8], [9], [], [7], [9], [8], [5, 5], [9], [7], [5, 5], [8], [9], [7], [7], [6], [8], [4]]
[[7], [6], [7], [9], [9], [5], [8], [6], [5], [5], [8], [7], [5], [5], [5], [5], [5], [9], [8], [8], [7], [8], [9], [8], [9], [5], [7], [9], [7], [5], [8], [4]]
-EndAllocation

Instance: [[1], [231], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 7, 7, 7, 7], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 8, 8, 8, 8]]
[[4, 4, 4, 6, 6, 6, 6, 6, 8, 8], [7], [5, 5, 7, 7, 7, 8, 8, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7]]
[[7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 9, 9]]
[[7, 7, 7, 7, 7, 9], [4, 4, 4, 5, 5, 9], [6, 6, 6, 6, 6, 9], [7, 7, 7, 7, 7, 9], [9], [8, 8, 8, 8, 9], [7, 7, 9]]
[[7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 7], [4, 4, 4, 9, 9], [9], [9, 9, 9, 9], [5, 5, 7], [7, 7, 7, 7, 7], [8, 8, 8, 8]]
[[7, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7, 7], [4, 4, 4], [6, 9, 9, 9], [5, 5, 6, 6, 6, 6], [8, 8, 8, 8], [9], [9, 9, 9]]
[[7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [], [4, 4, 4], [5, 5, 9]]
[[7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [4, 4, 4], [6, 6, 6, 6], [9, 9, 9], [5, 5], [7, 7, 7, 7], [7, 7, 7, 7], [8, 9], [6]]
[[7, 7, 7], [6, 6, 6, 6], [6, 7, 7], [7, 7, 7], [9, 9], [4, 4, 4], [7, 7, 7], [8, 8, 8], [], [9, 9], [8, 9, 9], [5, 5, 7, 9]]
[[7, 7, 7], [7, 7, 7], [6, 7, 7], [7, 7, 7], [], [], [8, 8, 8], [9, 9], [9, 9], [9, 9], [6, 6, 6, 6], [4, 4, 4, 5, 5], [7, 8, 9]]
[[7, 7, 7], [6, 7, 7], [7, 7, 7], [9, 9], [7], [4, 4, 4, 6], [5, 5], [7, 7, 7], [6, 6, 6], [9], [8, 8], [8, 8], [9, 9], [9, 9]]
[[9, 9], [7, 7, 7], [8, 8], [7, 7, 7], [9, 9], [6, 6, 6], [9, 9], [], [7, 7, 7], [4, 4, 4], [8, 8], [], [7, 7, 7], [6, 6, 9], [5, 5]]
[[6, 7, 7], [6, 7, 7], [7, 7], [8, 9], [5, 5, 7], [9, 9], [8, 8], [9, 9], [6, 6, 6], [7, 7], [], [8, 9], [], [4, 4, 4], [7, 7], [7, 9]]
[[7, 7], [7, 7], [7, 7], [5, 5, 6], [], [9, 9], [4, 4, 4], [8, 8], [7, 7], [9, 9], [7, 7], [], [9, 9], [8, 8], [6, 9], [6, 6, 6], [7, 7]]
[[9], [7, 7], [7, 7], [7, 7], [8, 8], [7, 7], [6, 6], [6, 9], [7, 7], [], [8, 9], [9], [9], [8, 9], [4, 4, 4], [5, 9], [5, 6, 6], [7, 7]]
[[7, 7], [7, 7], [7, 7], [7, 7], [6, 9], [], [4, 4, 4], [6, 6], [5, 5], [8, 8], [8, 9], [6, 9], [8], [7, 9], [6, 9], [7, 7], [9], [7, 9], []]
[[7, 9], [7, 7], [7, 7], [7, 7], [8, 8], [6, 9], [], [9], [7, 7], [5, 5], [8, 8], [7, 7], [7, 9], [6, 6], [9], [6, 6], [9], [4, 4, 4], [], [9]]
[[7, 7], [9], [6, 8], [7, 7], [8], [6, 6], [9], [9], [9], [7, 7], [9], [6, 6], [5, 5], [8], [9], [8], [7, 7], [4, 4, 4], [7, 7], [7, 7], [9]]
[[7, 7], [6, 7], [6, 7], [7, 7], [9], [8], [6, 7], [7], [5, 5], [9], [7, 7], [9], [9], [8], [8], [9], [8], [7, 7], [4, 4, 4], [6, 6], [9], [9]]
[[7, 7], [6, 7], [7, 7], [7, 7], [4, 4, 4], [6, 6], [9], [9], [7], [9], [8], [], [9], [7, 7], [8], [5, 5], [8], [9], [9], [9], [8], [7, 7], [6, 6]]
[[9], [6, 7], [8], [9], [9], [6, 7], [4, 7], [7], [7], [7], [9], [5, 8], [7], [7], [7], [5, 7], [4, 9], [9], [6, 7], [7], [4, 9], [8], [8], [6, 6]]
[[4, 9], [5, 8], [5, 8], [9], [9], [7], [6, 7], [6, 7], [4, 7], [9], [9], [8], [7], [], [7], [7], [6, 6], [7], [7], [7], [6, 7], [9], [7], [8], [4, 9]]
[[5, 7], [4, 7], [9], [5, 7], [7], [4, 7], [7], [7], [7], [9], [8], [7], [7], [9], [6], [9], [6, 6], [9], [9], [8], [6, 6], [4, 8], [7], [7], [8], [9]]
[[5, 7], [7], [7], [8], [7], [7], [5, 7], [7], [7], [7], [9], [7], [9], [9], [6], [9], [6, 6], [6, 6], [8], [9], [9], [8], [9], [8], [7], [7], [4, 4, 4]]
[[9], [9], [8], [7], [8], [7], [7], [7], [5, 5], [7], [6, 6], [9], [9], [8], [9], [4, 4, 4], [9], [7], [8], [7], [7], [6, 6], [7], [9], [7], [7], [7], [6]]
[[7], [7], [7], [7], [7], [7], [7], [7], [7], [4, 6], [7], [9], [7], [9], [6], [9], [9], [9], [8], [8], [8], [6], [8], [9], [9], [4, 6], [4, 6], [5, 5], [7]]
[[7], [8], [7], [7], [6], [7], [7], [7], [9], [6], [9], [7], [9], [5, 5], [9], [7], [9], [8], [4, 6], [9], [8], [4, 4], [7], [7], [9], [7], [7], [8], [6], [6]]
[[9], [7], [7], [7], [7], [7], [7], [9], [7], [7], [8], [9], [8], [6], [7], [6], [9], [9], [4, 4], [7], [6], [5, 5], [9], [8], [6], [9], [], [7], [7], [4, 6], [8]]
[[7], [7], [7], [7], [7], [7], [7], [6], [9], [8], [6], [], [9], [7], [5, 5], [4, 6], [4, 4], [6], [], [7], [8], [7], [9], [7], [9], [7], [8], [9], [9], [8], [6], [9]]
[[7], [7], [7], [7], [7], [7], [7], [6], [4, 4], [4], [8], [9], [6], [5], [9], [7], [9], [6], [8], [7], [], [8], [9], [9], [7], [9], [7], [9], [6], [8], [7], [6], [5]]
-EndAllocation

Instance: [[1], [230], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9], [9, 9]]
[[], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8], [9, 9, 9]]
[[9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [], [4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [], []]
[[9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [8, 9], [9]]
[[9], [9], [4, 4, 4, 4], [8, 8], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [4, 8], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 8], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9]]
[[9], [8], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4]]
[[], [4, 9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4]]
[[], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [4, 8], [4, 4, 4], [], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], []]
[[9], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [8], [9], [], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [], [4, 4], [4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4], [], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [8], [9], [4, 4], [4, 4], []]
[[9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [8], [], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4], [9], [4, 4], [9], [], [9]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [9], [], [9], [4, 4], [9], [], [9], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8]]
[[], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4], [4, 4], [9], [9], [4, 4], [], [9], [8], [8], [9], [9], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [229], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9], [9, 9]]
[[], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9]]
[[], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [9, 9, 9]]
[[9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9], [4, 9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [8, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 8], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [8, 9], [], [4, 4]]
[[], [4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [], []]
[[9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 9], [9], [8, 9]]
[[9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [8, 8], [9]]
[[9], [9], [4, 4, 4, 4], [4, 4, 8], [8, 8], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 8], [9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [4, 8], [4, 4, 4], [4, 9]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [8], [4, 8], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9]]
[[9], [8], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4]]
[[], [4, 9], [4, 4, 4], [9], [8], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4]]
[[], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [4, 8], [4, 4, 4], [], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], []]
[[9], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [8], [9], [], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8]]
[[9], [9], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [8], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [], [4, 4], [4], [9], [9], [9], [9], [9]]
[[9], [8], [9], [4, 4], [9], [4], [], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [8], [9], [4, 4], [4, 4], []]
[[9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [8], [8], [], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4], [9]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [9], [], [9], [4, 4], [9], [], [9], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [8], [], [9], [9], [9], [9], [9], [9], [9], [9], [8]]
[[], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4], [4, 4], [9], [9], [4, 4], [], [9], [8], [8], [9], [9], [8], [], [9], [9]]
-EndAllocation

Instance: [[1], [228], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[7, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [7, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [7, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [7, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9], [9, 9]]
[[], [9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9]]
[[], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9], [4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [8, 8], [9, 9, 9]]
[[], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [9, 9], [4, 4, 4, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 7], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [7, 9], [], [4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 7], [9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [], []]
[[9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [4, 9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 4, 9], [7, 9], [4, 4, 9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [8, 8], [7, 9]]
[[9], [9], [4, 4, 4, 4], [8, 8], [9], [9], [7, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 7], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [4, 8], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 8], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 8], [4, 9], [9], [7], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9]]
[[9], [8], [4, 7], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4]]
[[], [4, 9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [9], [8], [9], [4, 4, 4]]
[[], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [4, 8], [4, 4, 4], [], [], [4, 4, 4], [7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], []]
[[9], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [7], [9], [9], [8], [9], [], [4, 4, 4], [9], [8], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [4], [4, 4], [7], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4], [7], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [], [9], [9], [8], [9], [4, 4], [4, 4], []]
[[9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [8], [], [], [9], [9], [9], [4, 4], [], [7], [9], [9], [9], [4], [9], [4, 4], [9], [], [9]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [9], [], [9], [4, 4], [9], [], [9], [4, 4], [4, 4], [4], [8], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [7], [9], [9], [8]]
[[], [], [], [9], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4], [4, 4], [9], [9], [4, 4], [], [9], [8], [8], [9], [9], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [227], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [7, 7, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 7, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 7, 7], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 7, 8], [], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [7, 7, 9], [9, 9], [9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 7, 7], [9, 9], [9, 9], [9, 9]]
[[], [7, 7], [9, 9], [9], [4, 4, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 7, 8]]
[[], [7, 7], [9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 7, 7], [], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [7, 7], [4, 4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [8], [4, 4, 4, 4], [4, 9], [4, 9], [9], [7, 9], [4, 9], [7, 9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [8], [9], [7, 9], [7, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [8], [4, 9], [9], [9], [9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [7, 7], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [8], [9]]
[[7], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 7], [9]]
[[9], [9], [9], [9], [7], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [4, 9]]
[[9], [8], [7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [7], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [], [9], [7], [4], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9]]
[[9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4], [4, 4, 4], [9], [7], [9], [9], [9], [9], [7], [9], [8], [9], [9], [9], [], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [7], [9], [9], [9], [], [9], [], [4, 4, 4], [4, 8], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 7], [9], [9], []]
[[9], [4, 4], [9], [8], [9], [9], [9], [], [7], [4, 4], [9], [7], [4, 4], [9], [9], [4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9]]
[[9], [9], [9], [9], [4, 4], [4], [8], [9], [9], [7], [4, 4], [9], [9], [], [], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [7], [9], [9], [4, 4], [9]]
[[9], [4, 4], [4, 4], [9], [7], [9], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [], [4], [], [], [9], [9], [9], [8], [4, 4]]
[[9], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [7], [9], [], [], [4, 4], [9], [7], [], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4], [4]]
[[9], [7], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [7], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4], [8], [], [4, 4], [9], [9], [9], [], [9], [4, 4], [], [], [4, 4]]
-EndAllocation

Instance: [[1], [226], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 9, 9], [], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [], [4, 4, 4, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 8]]
[[], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [4, 4, 9], [], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [9], [8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [8], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [8], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [], [8], [9], [4, 9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [], [9], [], [4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [], [4, 4, 4], [], [9]]
[[9], [4, 4, 4], [], [9], [9], [9], [], [9], [], [4, 4, 4], [4, 8], [9], [9], [9], [4], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4], [9], [8], [9], [9], [9], [], [], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9]]
[[9], [9], [9], [9], [4, 4], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [9], [], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [4, 4], [9]]
[[9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [], [], [9], [9], [9], [8], [4, 4]]
[[9], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [], [], [4, 4], [9], [9], [], [9], [9], [], [9], [8], [9], [9], [9], [4, 4], [4, 4]]
[[9], [8], [], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [], [9], [4, 4], [], [], [4, 4]]
-EndAllocation

Instance: [[1], [225], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,33. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9, 9], [9]]
[[], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9]]
[[], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8], [9, 9, 9]]
[[], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9], [9, 9], [4, 9, 9], [4, 9, 9], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9], [9, 9], [], [4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [], []]
[[9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9]]
[[9], [9], [4, 4, 4, 4], [8, 8], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [4, 8], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 8], [9], [4, 4, 4], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9]]
[[9], [8], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4]]
[[], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4]]
[[], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [4, 8], [4, 4, 4], [], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4], [9], [9], [4, 4, 4], []]
[[9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [8], [9], [], [4, 4, 4], [9], [8], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [], [9], [9], [8], [9], [4, 4], [4, 4], []]
[[9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [4, 4], [8], [], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [9], [], [9], [4, 4], [9], [], [9], [4, 4], [4, 4], [4, 4], [8], [4, 4], [4, 4], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [8]]
[[], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [8], [8], [9], [9], [9], [], [], [9]]
-EndAllocation

Instance: [[1], [238], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 6, 6, 6, 6], [4, 4, 4, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [3, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7], [8, 8, 8, 9, 9, 9, 9, 9, 9], [3, 7, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 5, 5, 5, 5, 9], [3, 6, 6, 6, 6, 9, 9, 9, 9]]
[[], [3, 4, 4, 4, 4, 4, 6, 7, 7, 7], [6, 9, 9, 9], [8, 8, 8, 9, 9, 9], [6, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 9, 9, 9]]
[[], [7, 7, 7, 9, 9], [4, 4, 4, 4, 4], [3, 8, 8, 8, 9, 9], [9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6], [9, 9, 9, 9, 9]]
[[], [3, 4, 4, 4, 4, 4, 7, 7], [9, 9, 9, 9], [7, 9, 9, 9], [6, 6, 6, 6, 9], [8, 8, 8, 9], [5, 5, 5, 5, 9], [9, 9, 9, 9]]
[[], [5, 5, 8, 8, 8], [7, 7, 9, 9], [5, 5, 6, 6, 6, 6], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 9], [9, 9, 9], [3]]
[[], [9, 9, 9], [5, 5, 5, 5, 9], [9, 9, 9], [9, 9, 9], [9], [3, 9, 9, 9], [4, 4, 4, 6, 6, 6], [6, 8, 8, 8], [4, 4, 7, 7, 7]]
[[], [4, 4, 4, 4, 4, 9], [9, 9, 9], [], [9, 9, 9], [3, 6, 6, 6, 6], [5, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8], [5, 5, 5, 9]]
[[], [8, 8, 8], [6, 9, 9], [7, 7, 9], [3, 9, 9], [6, 6, 6, 7], [4, 5, 5, 5, 5], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9]]
[[], [9, 9], [8, 8, 8], [6, 6, 6, 6], [9, 9], [4, 4, 4, 4, 9], [9], [9, 9], [9, 9], [4, 9, 9], [3, 9, 9], [7, 7, 7], [5, 5, 5, 5]]
[[9], [8, 8], [9, 9], [9, 9], [9, 9], [6, 6, 6], [3, 5, 5, 5], [9, 9], [7, 7, 7], [6, 9], [8, 9], [5, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [5, 5, 5, 5], [9, 9], [9, 9], [6, 6, 6], [4, 4, 4, 4, 4], [9, 9], [3, 8, 9], [9, 9], [6, 9], [7, 7, 7], [9, 9], [9, 9], [8, 8], []]
[[], [5, 5, 5, 5], [], [3, 9], [9], [9, 9], [9, 9], [6, 7, 7], [4, 4, 4, 4, 4], [9, 9], [8, 8], [8, 9], [7, 9], [9, 9], [9, 9], [6, 6, 6]]
[[], [9, 9], [9, 9], [5, 7], [7, 7], [5, 5, 5], [6, 9], [9, 9], [4, 9], [8, 8], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [6, 6, 6], [3, 8]]
[[], [6], [9, 9], [9, 9], [9, 9], [], [3, 9], [4, 9], [6, 6, 6], [9, 9], [5, 5, 5], [7], [5, 8], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [7, 7]]
[[9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [9], [3, 7, 7], [5, 9], [9], [9], [6, 9], [4, 4, 9], [5, 5, 5], [8, 8], [4, 6, 7], [6, 6]]
[[9], [3, 9], [7, 9], [5, 9], [4, 9], [9], [9], [5, 5, 5], [9], [8], [4, 9], [7, 7], [9], [8, 8], [9], [4, 9], [4, 6, 6], [9], [6, 6], [4, 9]]
[[9], [9], [4, 4, 4, 4], [6, 6], [9], [3, 9], [7, 9], [6, 6], [9], [9], [4, 5, 7], [8], [9], [9], [9], [7, 9], [9], [9], [9], [8, 8], [5, 5, 5]]
[[9], [9], [6, 7], [5, 9], [9], [8], [9], [6, 6], [9], [6, 8], [5, 9], [4, 4, 4], [4, 9], [9], [9], [9], [7, 7], [9], [9], [3, 9], [4, 8], [5, 5]]
[[9], [5, 5], [6, 8], [7], [7, 7], [9], [9], [8], [9], [9], [6, 8], [9], [9], [9], [5, 5], [4, 9], [4, 4, 4], [6, 6], [9], [9], [4, 9], [3, 9], [9]]
[[7], [4, 9], [3, 9], [9], [9], [9], [6, 7], [8], [9], [9], [9], [8], [9], [5, 5], [6, 6], [4, 9], [9], [4, 4, 4], [5, 5], [9], [9], [9], [6, 7], [8]]
[[7], [9], [6, 7], [8], [5, 5], [9], [9], [6, 6], [3, 4, 4], [9], [9], [9], [9], [8], [9], [9], [8], [9], [9], [9], [5, 5], [6, 7], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [9], [9], [8], [6, 6], [5, 5], [6, 6], [7], [5, 7], [9], [5], [9], [7], [9], [9], [9], [4, 4], [3, 9], [8], [9], [8], [9], [9], [9], [9]]
[[9], [5, 5], [6], [8], [8], [7], [6, 6], [9], [5, 5], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [4, 4], [9], [6], [9], [8], [3, 9], [9], [7], [9]]
[[9], [9], [9], [9], [9], [9], [9], [7], [8], [9], [4, 7], [4, 4], [9], [6, 6], [9], [8], [8], [9], [7], [5, 5], [], [9], [], [3, 4, 4], [5, 5], [9], [9], [6, 6]]
[[9], [9], [4, 7], [9], [9], [], [4, 4, 4], [6, 6], [4, 8], [7], [9], [9], [8], [6, 6], [5, 5], [9], [], [9], [9], [3, 9], [5, 5], [8], [], [9], [9], [], [9], [7], [9]]
[[6], [9], [9], [9], [5, 5], [8], [9], [8], [9], [9], [7], [6], [3, 4], [5, 5], [9], [6], [9], [], [9], [9], [9], [4, 4], [7], [9], [6], [9], [8], [9], [7], [4, 4]]
[[9], [9], [7], [3], [5, 5], [4], [7], [9], [9], [4, 4], [6], [4, 4], [9], [9], [8], [8], [9], [9], [9], [9], [8], [9], [6], [9], [7], [6], [9], [9], [6], [], [5, 5]]
[[7], [4, 4], [9], [9], [8], [9], [9], [7], [9], [7], [9], [5, 5], [4], [9], [4, 4], [5, 5], [9], [9], [6], [6], [6], [9], [3], [9], [6], [8], [], [9], [9], [9], [8], []]
[[9], [], [9], [6], [9], [5, 5], [7], [9], [6], [7], [9], [9], [9], [9], [4, 4], [9], [], [7], [4], [9], [8], [9], [3, 6], [], [9], [9], [5, 5], [], [4, 4], [8], [8], [6], [9]]
[[], [6], [7], [8], [9], [7], [], [6], [8], [], [6], [8], [9], [9], [9], [9], [3, 5], [4, 4], [9], [9], [5], [4, 5], [9], [5], [4, 4], [9], [9], [6], [9], [], [9], [9], [9], [7]]
-EndAllocation

Instance: [[1], [237], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [7, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9]]
[[], [9], [4, 9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [7, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [8, 8], [9, 9], [4, 7, 9], [9, 9], [9, 9], [4, 9, 9], [9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [7], [9, 9], [8, 8], [4, 4, 4, 9]]
[[], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [7, 9], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4], [9, 9], [4, 9], [7, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [4], [9, 9], [4, 4, 4, 4], [], [9, 9], [9], [9, 9], [9, 9], [7, 9], [9, 9]]
[[9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [7, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [9], [7, 9], [4, 9], [9], [4, 9], [4, 9], [8, 8]]
[[8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 7], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [8]]
[[8], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [4, 9], [7], [9], [4, 4, 4], [9]]
[[9], [4, 9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [7], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [7], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [7], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [8], [4], [9], [4, 4, 4], [9], [9], [9], [9], [7]]
[[9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [], [7], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 8], [9]]
[[9], [], [9], [9], [9], [9], [9], [], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [8], [], [9], [9], [9], [4, 7], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [8], [4, 4], [9], [9], [8], [9], [4], [9], [], [9], [9], [9], [7], [9], [9], [4, 4]]
[[], [4, 4], [], [9], [4], [9], [7], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [4, 4], [9], [9]]
[[9], [], [9], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4], [4, 4], [9], [4, 4], [], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [4, 4], [8], [], [], [4, 4]]
[[9], [9], [9], [9], [], [], [4, 4], [9], [9], [4, 4], [9], [7], [4, 4], [9], [9], [4], [9], [8], [9], [4, 4], [9], [], [8], [], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [9]]
[[], [8], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [7], [9], [9], [], [4, 4], [9], [9], [], [9], [4], [], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [8], [9]]
-EndAllocation

Instance: [[1], [236], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8, 9], [9, 9, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [9, 9], [9, 9, 9, 9]]
[[], [8, 8, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [], [4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 4, 4, 7]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9], [4, 8, 8, 8], [9, 9, 9]]
[[], [8, 8, 8], [4, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9]]
[[], [9, 9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [7, 9], [9, 9]]
[[], [8, 8], [4, 4, 9], [4, 9, 9], [4, 9, 9], [9, 9], [4, 9, 9], [9], [4, 4, 4, 7], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [8, 8], [9, 9], [9, 9], [7, 8], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [], [4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [8, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 9], [8, 9]]
[[], [], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [], [8, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [7, 9]]
[[9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [8, 9], [4, 9], [7, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 9], [4, 9], [4, 4, 8], [9], [4, 9], [4, 4, 4, 4], [9], [8, 8], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [8], [9], [4, 4, 4, 4], [7, 9], [4, 9], [4, 4, 4, 4], [8, 8], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [4, 9], [7], [9], [9], [8], [4, 9], [4, 9], [9], [4, 8], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 8], [4, 9]]
[[9], [9], [9], [4, 9], [7], [9], [9], [8], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 4, 4], [4, 8], [9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [7], [8], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8]]
[[7], [4, 9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [4, 9], [4, 4, 4], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [8], [], [4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 8], [8], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [7], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [8], [9], [9], [9], [], [9], [], [4, 4, 4], [9], [], [9], [9]]
[[9], [9], [4, 7], [9], [9], [], [4, 4, 4], [4, 4], [4, 8], [9], [9], [9], [8], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [8], [], [9], [9], [], [9], [9], [9]]
[[9], [9], [9], [4], [4, 4], [8], [9], [8], [9], [9], [7], [4, 4], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [8], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [9], [4, 4], [], [4, 4], [9], [4, 4], [7], [4, 4], [9], [4, 4], [8], [8], [], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4], [], [9]]
[[], [4, 4], [], [9], [8], [9], [9], [4, 4], [9], [7], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4], [9], [4, 4], [9], [8], [4, 4], [], [9], [9], [8], []]
[[9], [], [9], [9], [9], [9], [7], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [8], [9], [], [], [9], [4], [4, 4], [], [4, 4], [8], [8], [9], [9]]
[[], [4, 4], [7], [8], [9], [9], [], [9], [8], [], [], [8], [9], [4, 4], [4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [235], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9]]
[[4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [5, 8, 8, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [8, 9, 9, 9, 9, 9, 9], [5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9], [5, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [5, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [5, 9, 9]]
[[], [9], [4, 9, 9, 9], [8, 8, 9], [9, 9, 9], [5, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [5, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [5, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9], [5, 9, 9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [5, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [8, 8], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 9, 9], [9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [5, 9], [8, 8], [4, 4, 4, 9]]
[[], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 5]]
[[], [], [4, 4, 4, 4], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4], [], [5, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [4], [9, 9], [4, 4, 4, 4], [], [9, 9], [9], [9, 9], [5, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 9], [5, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [5, 9], [9], [8, 8], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [5, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [8, 8], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4]]
[[8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [5, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [8]]
[[8], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [8], [5, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [4, 9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [9], [9], [5], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [5], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [5], [4, 4, 4], [9], [9], [8], [], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [], [8], [4, 5], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [5], [9], [], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [9]]
[[9], [], [9], [9], [9], [9], [9], [5], [9], [9], [8], [4], [4, 4, 4], [9], [9], [8], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 5], [4, 4], [4, 4], [8], [4, 4], [9], [9], [8], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4]]
[[], [4, 4], [], [9], [4], [9], [9], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [5], [9], [9], [4, 4], [8], [4, 4], [9], [9]]
[[9], [], [9], [9], [8], [9], [9], [4, 4], [9], [9], [9], [5], [9], [9], [4], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [8], [], [], [4, 4]]
[[9], [9], [9], [9], [], [], [4, 4], [9], [9], [4, 4], [9], [], [4, 4], [9], [9], [4], [9], [8], [9], [4, 4], [9], [5], [8], [], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [9]]
[[], [8], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [], [9], [4, 4], [], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 5], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [234], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [3, 3, 3, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 9, 9, 9, 9, 9]]
[[4], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9], [5, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 7, 7, 9, 9], [5, 6, 9, 9, 9, 9, 9], [3, 3, 9, 9, 9, 9, 9, 9], [3, 3, 3, 8, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 7, 7, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 6, 8, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 7, 7], [4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 8, 9, 9, 9]]
[[], [3, 3, 3, 3, 3, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9], [7, 7, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 5], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [6, 7, 7, 9], [3, 3, 3, 3, 3, 8, 9], [4, 4, 4, 4, 4, 4, 9], [5, 9, 9, 9]]
[[], [7, 7, 8, 9], [4, 9, 9, 9], [9], [9, 9, 9], [6, 9, 9], [9, 9, 9], [3, 3, 3, 3, 3, 4, 9], [5, 9, 9, 9], [4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9], [8, 9, 9], [3, 3, 3, 3, 3, 9], [9, 9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [5]]
[[9], [7, 7, 9], [9, 9], [3, 3, 3, 3, 3, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [5, 9, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9]]
[[], [3, 3, 9, 9], [9, 9], [9, 9], [9, 9], [3, 3, 3, 9], [4, 4, 4, 4, 4, 4], [6, 7, 7], [5, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [8, 9], [9, 9], [9, 9], [9, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [5, 9], [3, 3, 3, 3, 3, 4], [9, 9], [7, 7], [9, 9]]
[[], [9, 9], [4, 7, 7], [6, 9], [3, 3, 3, 3, 3], [4, 4, 4, 4, 4], [9, 9], [5, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9]]
[[], [9, 9], [9, 9], [5], [9, 9], [4, 6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [7, 7], [9, 9], [8, 9], [9, 9], [3, 3, 3, 3, 3]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [5, 9], [4], [9, 9], [], [9, 9], [8], [3, 3, 3, 3, 3], [9, 9], [4, 7, 7], [4, 4, 4, 4], [6, 9], [9, 9]]
[[9], [4, 4, 9], [3, 3, 9], [4, 4, 9], [6, 9], [3, 3, 9], [3, 4, 9], [8, 9], [9], [5, 9], [7, 9], [4, 9], [9], [9], [9], [7, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [3, 3, 3, 3, 3], [7, 9], [9], [9], [4, 4, 9], [9], [6, 9], [9], [9], [9], [9], [7, 9], [5, 9], [9], [9], [8, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [6, 9], [3, 9], [3, 3, 9], [4, 9], [7, 7], [4, 9], [3, 3, 8], [9], [5, 9], [4, 9], [4, 9], [9], [9]]
[[9], [4, 9], [9], [6, 9], [3, 3, 9], [9], [9], [7, 7], [9], [3, 3, 9], [9], [9], [9], [3, 4, 9], [8], [5, 9], [9], [9], [9], [4, 4, 4, 4], [9]]
[[9], [3, 9], [4, 4, 4], [4, 4, 4], [3, 9], [9], [9], [3, 9], [9], [6, 8], [3, 9], [9], [9], [9], [9], [9], [3, 9], [5, 9], [9], [9], [9], [7, 7]]
[[9], [3, 3, 3, 3], [9], [9], [3, 9], [4, 9], [9], [9], [8], [4, 4, 4], [9], [7], [9], [4, 9], [4, 9], [9], [5, 9], [9], [9], [6, 7], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [6, 7], [9], [9], [9], [9], [3, 9], [3, 3, 3, 3], [5, 7], [9], [9]]
[[9], [3, 3, 3, 3], [9], [4, 9], [9], [9], [9], [6], [3, 9], [9], [9], [9], [4, 9], [9], [4, 9], [8], [4, 4, 4], [5], [9], [7], [9], [9], [9], [9], [7]]
[[9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [3, 7], [7], [4, 6], [9], [9], [9], [5], [8], [9], [9], [9], [9]]
[[9], [9], [9], [], [7], [9], [9], [9], [8], [4, 4, 4], [9], [9], [7], [9], [9], [9], [9], [9], [9], [3, 9], [5], [4, 4, 4], [9], [6], [3, 3, 3, 3], [9], [9]]
[[9], [9], [5], [9], [9], [3, 9], [9], [9], [9], [4], [], [4, 7], [4, 4, 4], [8], [9], [9], [9], [3, 3, 3, 3], [7], [9], [4], [9], [6], [9], [9], [9], [9], [9]]
[[9], [4, 4], [], [9], [9], [9], [9], [3, 7], [6], [9], [9], [], [9], [4, 8], [9], [9], [3, 3, 3, 3], [9], [9], [5], [9], [], [9], [9], [7], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [5], [9], [8], [7], [9], [4, 4], [7], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [3, 3], [9], [6], [9], [9], [4, 4], [], [3, 3, 3]]
[[9], [5], [4, 4], [9], [3, 3], [], [9], [9], [9], [], [6], [3, 3, 3], [9], [8], [4, 4], [4, 4], [9], [9], [9], [], [7], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9]]
[[9], [3, 3], [9], [5], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [9], [6], [7], [9], [3, 3, 3], [9], [8], [], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [7], [9], [9]]
[[], [9], [4, 4], [9], [9], [9], [9], [], [9], [], [4, 4], [4, 4], [9], [5], [3, 3, 3], [9], [9], [], [], [9], [9], [9], [7], [6], [9], [9], [3, 3], [9], [9], [9], [7], [9], [8]]
[[9], [4, 4], [], [9], [], [3, 3, 3], [9], [], [9], [7], [4, 4], [5], [9], [6], [], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [3, 3], [9], [8], [], [4, 4], [9], [7], [9]]
-EndAllocation

Instance: [[1], [233], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 9, 9, 9], [7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 7, 8, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [7, 9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [7, 8, 9], [4, 9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9], [4, 4, 4, 4, 4, 7], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4]]
[[], [7, 9, 9], [9, 9], [9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 7], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 7], [9, 9], [4, 8], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 9], [], [4, 4, 4, 4], [9, 9], [], [9, 9], [8], [4, 4, 4, 4], [9, 9], [7, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [4, 4, 4, 4], [9], [9], [8, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [7, 9], [4, 9], [8], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [7, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [8], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [7], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [7], [9], [8]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [7]]
[[9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7], [4, 4, 4], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [4, 4], [7], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9]]
[[9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 7], [4, 4, 4], [8], [9], [9], [], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9]]
[[9], [4, 4, 4], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [4, 8], [9], [9], [], [9], [9], [], [9], [], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [9], [9], [8], [7], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [], [9]]
[[9], [9], [4, 4], [9], [9], [], [9], [9], [], [], [], [4, 4], [9], [8], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [4, 4]]
[[9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [], [], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [8], [], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [7], [9], [9]]
[[], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [], [4, 4], [4, 4], [9], [], [], [9], [4, 4], [9], [], [9], [4, 4], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8]]
[[], [4, 4], [], [9], [], [8], [9], [], [9], [7], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [232], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,34. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,34:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9]]
[[], [4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [7, 7, 9, 9]]
[[], [9, 9, 9], [7, 7, 9, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 7], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [4, 4, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 7, 7], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [], [4, 4, 9], [9, 9], [9, 9], [], [7, 7], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9]]
[[9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [7, 7], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9]]
[[9], [7, 9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [7, 9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [7, 7], [4, 4, 4, 4], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [7, 7], [9], [9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [7, 7], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [7], [4, 4], [4, 4, 4], [9], [9]]
[[9], [7], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9]]
[[9], [9], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [7], [7], [], [4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [7], [], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [7], [4, 4], [9], [7], [9], [9], [4, 4], [4, 4]]
[[9], [9], [9], [7], [7], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [], [], [9], [9], [9]]
[[], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [9], [], [4, 4], [7], [9]]
[[9], [9], [9], [], [9], [9], [9], [4, 4], [], [9], [4, 4], [9], [], [9], [], [9], [7], [9], [4, 4], [4, 4], [9], [7], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9]]
[[9], [9], [], [], [9], [4, 4], [9], [9], [9], [7], [4, 4], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [], [4, 4], [7], [], [9], [9], [9], [9], [9], [9]]
[[], [9], [9], [4, 4], [9], [9], [9], [], [], [9], [], [9], [], [4, 4], [], [4, 4], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [9], [9], [7], [4, 4]]
-EndAllocation

Instance: [[1], [245], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 9], [4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [4, 7, 7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 7, 7, 9, 9], [9, 9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 8, 9, 9, 9], [4, 4, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 7, 7], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9], [9, 9, 9], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [7, 7], [8, 9, 9]]
[[], [9, 9, 9], [9], [9, 9, 9], [], [7, 7, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 9], [9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 7, 7], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8], [9, 9], [9], [9, 9]]
[[], [4, 4, 4, 9], [4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [8], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 8]]
[[], [9, 9], [], [9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7], [4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [8]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [7, 9], [9], [9], [4, 4, 9], [7, 9], [4, 9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 9], [9], [7, 7]]
[[9], [9], [9], [9], [9], [9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [7, 7], [9], [9], [9], [9], [9], [4, 4, 8], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [7, 7], [4, 4, 4], [9], [9], [9], [4, 8], [9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [7, 7], [9], [4, 4, 4], [8], [4, 9], [9]]
[[7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [7], [9], [4, 9], [9], [9]]
[[9], [7], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [4, 7], [9], [4, 4, 4], [8], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [7], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [7], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4], [], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [9], [4], [9]]
[[7], [9], [9], [], [9], [9], [7], [9], [9], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 4, 4]]
[[9], [9], [9], [9], [8], [4, 4], [9], [], [7], [4, 4], [7], [4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [], [4, 4], [9], [9], [9], [7], [9], [9], [9], [7], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [], [9], [4], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [7], [], [4, 4], [9], [9], [4, 4], [9], [], [4, 4], [9], [], [8], [9], [9], [9], [9], [7], [9], [9], [4, 4], [4], [9], [9]]
[[9], [8], [4], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4], [7], [7], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [9], [], [9], [9], [], [9], [9], [4, 4], [9]]
[[9], [], [9], [9], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [4], [9], [], [], [4, 4], [9], [9], [9], [9], [7], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [7], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [244], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [5, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 8, 8]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 8, 8, 9, 9], [4, 4, 9], [5, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [5], [9, 9, 9, 9], [4, 4, 4, 4, 9], [8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9], [5, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [5], [8, 8, 9]]
[[], [5, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9]]
[[], [5, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [5, 9, 9], [9, 9], [4, 9, 9], [8, 8], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [5, 9], [9, 9]]
[[], [4, 4, 4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [5, 9], [8, 8], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 5], [9, 9], [9, 9], [], [9, 9], [], [4, 8, 8]]
[[], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4], [9, 9], [9, 9], [5, 9], [9, 9], [4, 4, 4, 4], [8, 8]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [5, 9], [4, 9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [8, 8], [9], [9], [4, 4, 9], [9], [5, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [5, 9]]
[[9], [5, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [8, 8], [4, 9]]
[[9], [9], [5, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [8], [4, 4, 4], [9], [9], [4, 9], [4, 8], [9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [5, 9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [8], [4, 4, 4], [8], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [4, 9], [8], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [5]]
[[9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [5], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [8], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [5], [9], [9], [8]]
[[9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4], [], [5], [9], [9], [9], [8]]
[[9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [8], [9], [4, 4, 4], [], [4, 4, 4], [8], [4, 5], [9], [4, 4, 4], [9]]
[[9], [9], [9], [], [9], [9], [8], [9], [9], [], [9], [9], [5], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 4, 4]]
[[9], [9], [9], [9], [8], [4, 4], [9], [], [4, 4], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [9], [4], [9], [8], [9], [9], [4, 4], [9], [5], [9], [9], [9], [9], [9], [9]]
[[9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [4], [9], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [], [9], [], [9], [5]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [], [8], [4, 4], [9], [], [4, 4], [9], [], [8], [9], [9], [9], [9], [9], [9], [9], [4, 5], [4, 4], [9], [9]]
[[8], [5], [4], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [8], [4, 4], [], [9], [9], [], [9], [9], [], [9], [9], [4, 4], [9]]
[[9], [], [9], [9], [], [9], [9], [9], [4, 4], [], [5], [9], [9], [4], [9], [], [], [4, 4], [9], [9], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [243], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9]]
[[], [4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 8, 8, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9], [8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], []]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [9], [9, 9]]
[[], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [8, 8], [9, 9], [9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [], [4, 8, 8]]
[[], [9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [8, 8], [4, 9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 8], [4, 4, 4], [9], [9], [4, 9], [4, 8], [9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [8], [4, 4, 4], [8], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8]]
[[9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [], [9], [8]]
[[9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [8], [9], [4, 4, 4], [], [4, 4, 4], [8], [4, 4, 4], [9], [4, 4], [9]]
[[9], [9], [9], [], [9], [9], [8], [9], [9], [4], [9], [9], [], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 4, 4]]
[[9], [9], [9], [9], [8], [4, 4], [9], [], [4, 4], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [8], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [], [9], [], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [], [8], [4, 4], [9], [], [4, 4], [9], [], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9]]
[[8], [8], [4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [9], [], [9], [9], [], [9], [9], [4, 4], [9]]
[[9], [], [9], [9], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [], [], [4, 4], [9], [9], [8], [9], [9], [4, 4], [4, 4], [4, 4], [8], [9], [], [9], [9], [9], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [242], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9]]
[[9], [7, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [7, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [7, 8, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 9], [7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 7, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4], [7]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 8], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9], [8, 9]]
[[], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [8], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [8, 9], [4, 4, 4], [4, 7, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8], [7], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9], [7, 9], [9], [9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 4, 8], [9], [7, 9], [9]]
[[9], [4, 7], [9], [9], [9], [9], [4, 9], [4, 8], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [7], [9], [9], [8], [9], [9], [4, 4, 4], [4, 9], [4, 9]]
[[8], [9], [9], [9], [9], [9], [9], [4, 7], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9]]
[[8], [9], [9], [4, 9], [7], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4], [], [9], [7], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 7], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [], [], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [8], [9], [], [9], [4, 4], [9], [9]]
[[9], [9], [9], [], [4, 4], [9], [7], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], []]
[[9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [], [9], [4, 4], [9], [9], [9], [9], [7], [], [9], [4, 4], [9], [8], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [], [], [8], [9], [9], [], [], [7], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [7], [9], [8], [9], [9], [4, 4], [9], [], [], [], [9]]
[[], [], [9], [8], [4, 4], [9], [7], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4]]
-EndAllocation

Instance: [[1], [241], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9]]
[[], [4, 7, 7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [7, 7, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 9], [4, 7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9], [7, 7, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9], [7, 7]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [7, 7, 9], [9, 9]]
[[], [9, 9], [7, 7], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [7, 7], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4], [4, 7, 7], [9, 9]]
[[], [9, 9], [9, 9], [4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 7], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 9], [9], [9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 7], [9], [4, 4, 9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [7, 7], [9]]
[[9], [7, 7], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [7, 7], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [7, 7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9]]
[[7], [9], [9], [4, 9], [7], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [9], [7], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [7], [9]]
[[9], [9], [9], [4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 7], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [7]]
[[9], [], [7], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [], [9], [4, 4, 4], [9], [7], [7], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [], [9], [4, 4], [9], [9]]
[[9], [9], [9], [], [4, 4], [9], [7], [9], [9], [9], [9], [7], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], []]
[[9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [], [9], [4, 4], [9], [9], [9], [7], [7], [], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [], [], [9], [9], [9], [], [], [7], [9], [], [9], [9], [9], [4, 4], [7], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [9], [9], [9], [], [], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [7], [9], [9], [9], [9], [4, 4], [9], [], [], [], [7]]
[[], [], [9], [9], [4, 4], [9], [7], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4], [], [9], [9], [7], [4, 4], [9], [9], [4, 4], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4]]
-EndAllocation

Instance: [[1], [240], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 6, 7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 4, 4, 4, 4, 6], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[9, 9], [6, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9]]
[[], [4, 4, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 6], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [9, 9], [4, 4, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [7, 9, 9], [6, 9, 9], [4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 7, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9]]
[[], [4, 6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], []]
[[], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [6, 9], [9, 9], [9, 9], [4, 4, 4], [4, 4, 4, 4, 4], [], [4, 7, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [7, 9], [4, 4, 4, 4, 4], [6, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [4, 4, 9], [6, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 9], [4, 4, 4, 4], [], [9, 9]]
[[9], [7, 9], [4, 4, 9], [9], [9], [6, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [6, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [7, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [6, 9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [9]]
[[9], [4, 9], [4, 9], [4, 6], [9], [7], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 7], [4, 9], [6], [9], [4, 9], [9], [4, 9], [9]]
[[9], [9], [9], [6], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [7], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [6], [9], [9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [6], [4, 4, 4], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [4, 7], [9], [9], [4, 6], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [6], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4], [7], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [6], [9], [9], [9], [9], [], [9], [7], [4, 4, 4], [9]]
[[7], [6], [9], [4, 4], [9], [4, 4], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9]]
[[9], [], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [6], [4, 4], [7], [4, 4], [9]]
[[9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [7], [9], [], [9], [9], [6], [4, 4]]
[[9], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [7], [], [9], [], [9], [6], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [], [9], [9], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [6], [4, 4], [4, 4], [9], [], [9], [], [], [7]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [7], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [], [], [], [9], [9], [6], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [239], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,35. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,35:
-StartAllocation
[[3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9], [3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [3, 3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9]]
[[9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 8, 9, 9, 9], [3, 3, 3, 3, 3, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9, 9, 9]]
[[], [7, 7, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [3, 3, 3, 3, 3, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 8, 8], [9, 9], [9, 9, 9], [9, 9, 9], [3, 3, 3, 3, 3, 9]]
[[], [9, 9, 9], [4, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 9, 9], [3, 3, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9]]
[[9], [9, 9], [7, 7, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3, 9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9]]
[[], [8, 8, 9], [3, 3, 3, 3, 3, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [3, 3, 3, 3, 3, 9], [9, 9], [9, 9], [9]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [3, 3, 3, 3, 3], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7], [9], [9, 9]]
[[], [9, 9], [3, 3, 3, 3], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4], [3, 8, 8]]
[[], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [], [3, 3, 3, 3, 3], [7, 7], [4, 4, 4], [9, 9], [9, 9]]
[[], [8, 8], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [7, 7], [], [3, 3, 3, 3, 3], [4, 4, 4, 4]]
[[9], [9], [9], [8, 9], [3, 9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [9], [8, 9], [7, 9], [3, 3, 9], [9], [3, 3, 9], [9]]
[[9], [9], [9], [7, 9], [9], [7, 9], [8, 8], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [3, 3, 3, 3, 3], [4, 9], [4, 9], [4, 9]]
[[9], [9], [7, 7], [9], [9], [9], [3, 4, 9], [8, 8], [9], [9], [9], [9], [9], [4, 9], [9], [3, 3, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [3, 3, 9]]
[[9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 8], [4, 9], [9], [3, 9], [9], [9], [3, 3, 3, 3], [4, 9], [7, 7], [9]]
[[9], [3, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [3, 9], [9], [9], [4, 4, 4], [3, 9], [9], [9], [7, 7], [9], [3, 3, 8], [9], [9], [8]]
[[9], [7], [4, 9], [9], [4, 8], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 7], [3, 3, 3, 3], [9], [4, 9], [9], [8], [3, 9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [9], [3, 9], [8], [9], [3, 3, 3, 3], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [7], [4, 4, 4], [4, 9], [9], [8], [9]]
[[9], [9], [9], [8], [9], [9], [8], [4, 4, 4], [9], [7], [3, 3, 3, 3], [9], [7], [9], [9], [9], [9], [9], [9], [9], [3, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [4, 4], [9], [9], [9], [3, 9], [9], [9], [9], [9], [9], [9], [8], [3, 3, 3, 3], [9], [9], [9], [7], [9], [], [9], [4, 4, 4], [9], [8], [7]]
[[9], [9], [8], [4, 4, 4], [9], [9], [9], [3, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [3, 3, 3, 3], [9], [9], [8], [4], [9], [], [4, 7], [9], [7], [9]]
[[9], [3, 3, 3, 3], [9], [9], [4, 4, 4], [9], [9], [9], [9], [7], [9], [4, 7], [9], [3, 8], [], [9], [9], [9], [4, 4, 4], [], [8], [9], [9], [9], [9], [], [4], [9], [9]]
[[9], [], [9], [8], [9], [9], [4, 4], [9], [9], [3, 3], [9], [9], [9], [7], [], [4, 4], [8], [4, 4], [4, 4], [9], [9], [3, 3, 3], [9], [9], [9], [9], [7], [9], [9], [9]]
[[9], [9], [], [9], [9], [], [3, 3], [9], [9], [9], [4, 4], [9], [9], [3, 3, 3], [4, 4], [], [9], [4, 4], [9], [7], [9], [9], [9], [8], [7], [9], [8], [4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4], [], [9], [9], [], [], [9], [3, 3], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [3, 3, 3], [9], [7], [4, 4], [9], [9], [7], [9], [8], [], [9], [8]]
[[9], [9], [7], [4, 4], [], [9], [9], [4, 4], [9], [], [8], [9], [], [9], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [], [3, 3], [9], [9], [9], [3, 3, 3], [], [8], [4, 4], [9]]
[[8], [], [9], [4, 4], [], [9], [7], [9], [9], [8], [9], [4, 4], [3, 3], [9], [], [9], [3, 3, 3], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [7], []]
[[], [9], [4, 4], [9], [8], [], [3, 3, 3], [9], [], [9], [9], [9], [7], [9], [4, 4], [9], [9], [], [7], [9], [], [4, 4], [9], [4, 4], [9], [9], [8], [9], [], [9], [], [9], [9], [9], [3, 3]]
-EndAllocation

Instance: [[1], [252], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 8, 8], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[], [8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9]]
[[], [9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], []]
[[], [4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], []]
[[9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [8, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [4, 9]]
[[9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [8, 8], [9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 8], [4, 9], [9], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [8], [4, 9], [9], [8], [9], [9], [9]]
[[9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [8], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [8], [4, 9], [4, 4, 4]]
[[9], [4, 9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [8], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4], [4, 4, 4], [], [4, 4, 4], [8], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [8], [], [4, 4, 4], [9], [9], [9], [9], [], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9], [9]]
[[9], [], [], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [], [8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [9], [4, 4], [4, 4], [], [4, 4], [9], [9], [9], [4, 4], [9], [], [], [9], [4, 4], [9], [9], [8], [4, 4], [9]]
[[9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [], [], [4, 4]]
[[9], [9], [9], [8], [8], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [], [4, 4], [], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [8], [], [4, 4], [9], [4, 4], [8], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [4, 4], [9], [9]]
[[], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [], [], [4, 4], [8], [9], [9], [], [9], [9], [8], [9], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [251], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 7, 8], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 7, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9]]
[[], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9]]
[[], [], [7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 7, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 7], [9, 9], [4, 4, 4, 9], [9], [9, 9], [9, 9], []]
[[], [7, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 7], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], []]
[[], [4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9], []]
[[9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [4, 4, 8], [9], [4, 9]]
[[9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [8], [7, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [7]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 7], [9], [8], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [8], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [8], [4, 9], [4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [8], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [9], [8], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4, 4], [9], [9], [9], [7], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9], [9]]
[[9], [], [], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4], [9], [4, 4, 4], [7], [9], [9], [8], [9], [9], [9], [9], [9], [], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [7], [9], [4, 4], [4, 4], [], [4, 4], [9], [9], [9], [4, 4], [9], [], [], [9], [4, 4], [9], [9], [8], [4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [7], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [], [], [4, 4]]
[[9], [9], [9], [8], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [], [7], [], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [7], [4, 4], [4, 4], [9], [8], [], [4, 4], [9], [4, 4], [9], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [4, 4], [9], [9]]
[[], [9], [4, 4], [], [9], [4, 4], [9], [7], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [], [], [4, 4], [8], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [250], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 7, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [8, 9, 9, 9], [9, 9, 9], [7, 8, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 7, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 7, 9, 9], [8, 8, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9]]
[[], [4, 7, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8], [], [9, 9, 9]]
[[], [7, 9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 8, 8], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 9]]
[[], [4, 4, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 9], [9], [], [9, 9], [9, 9], []]
[[], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9], [], [4, 4, 4, 4], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 8], [9], [4, 4, 9], [9], [7, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 4, 4, 4], [8, 8], [7, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [8, 8], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [7, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 7], [4, 9], [9], [4, 8], [9], [9], [4, 9], [4, 8], [9], [9]]
[[9], [4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [7], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 8], [9], [4, 4, 4], [4, 4, 4], [4, 9], [7], [9], [9], [9], [4, 8], [9], [9], [9]]
[[8], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [4, 9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [8], [4, 4, 4], [9], [9]]
[[8], [9], [9], [9], [4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [8], [9]]
[[9], [9], [], [8], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 7], [4, 4, 4]]
[[9], [9], [9], [], [4, 8], [9], [9], [9], [9], [9], [9], [9], [8], [], [4, 7], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], []]
[[9], [8], [9], [9], [], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [7], [9], [], [4, 4], [9], [9], []]
[[], [7], [9], [9], [], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [8]]
[[9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [8], [], [8], [7], [9], [9], [9], [4, 4], []]
[[9], [4, 4], [9], [9], [], [9], [9], [4, 4], [], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [8], [4, 4], [9], [4, 4], [9], [7], [9], [9], [9], [8], [9], [], []]
[[], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [], [4, 4], [4, 4], [8], [9], [], [7], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [4, 4], [], [9], [9], [4, 4], [7], [9], [9], [], [8], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [4, 4], [9], [], [], [9], [], []]
-EndAllocation

Instance: [[1], [249], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 9, 9, 9, 9]]
[[5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9]]
[[9], [6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6], [7, 7, 7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[], [6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 8, 8, 8], [6, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 8, 8, 8], [5, 7, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 6, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 9, 9], [9, 9], [7, 7, 7, 7, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [5, 5, 5, 6, 6, 6], [6, 6, 8, 8, 8], [6, 7, 7, 7, 7], [9], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5], [6, 6, 9, 9]]
[[], [6, 9, 9, 9], [6, 6], [5, 5, 5, 5, 9], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 9], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5]]
[[], [7, 7, 7, 7], [6, 6, 6, 9], [5, 5, 5, 5, 5, 5], [], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 9], [6, 6, 6, 6, 6]]
[[], [9, 9, 9], [6, 6, 6, 6], [6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7], [9, 9], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8], [], [5, 5, 5, 5, 5]]
[[], [6, 6, 6, 6], [5, 5, 5, 5], [5, 5, 5, 5, 5], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], [5, 7, 7, 7], [7, 9, 9], [6, 6, 6, 6]]
[[], [6, 6, 6, 6], [9, 9], [9], [5, 5, 5, 5], [7, 7, 7], [6, 6, 7], [6, 9, 9], [6, 9, 9], [9, 9], [5, 5], [8, 8, 8], [9, 9], [5, 5, 5, 5]]
[[], [9, 9], [8, 8], [5, 5, 5, 5], [9, 9], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [9], [9, 9], [9, 9], [7, 7, 7], [6, 6, 9], [5, 5, 7], [8, 9]]
[[], [6, 6, 6], [5, 5, 5, 5], [9, 9], [7, 7, 7], [9, 9], [5, 5, 9], [6, 6, 8], [9, 9], [7, 9], [9], [9, 9], [6, 6, 6], [5, 5, 5, 5], [], [8, 8]]
[[], [9, 9], [5, 5, 5, 5], [6, 6, 6], [9, 9], [5, 5, 5, 5], [8, 9], [], [7, 7], [8, 8], [9, 9], [7, 7], [9, 9], [6, 6, 6], [5, 5, 9], [9], [6, 6]]
[[], [5, 5, 5], [6, 6, 6], [9, 9], [8, 9], [5, 5, 5], [9, 9], [5, 9], [8, 8], [6, 6], [9, 9], [5, 5, 5], [7, 7], [], [7, 7], [9], [9, 9], [6, 6, 6]]
[[], [6, 6, 6], [9, 9], [9, 9], [6, 6, 6], [8, 8], [], [7, 7], [7, 7], [9, 9], [5, 6, 6], [9, 9], [9], [9, 9], [5, 5, 5], [8], [], [5, 5, 5], [5, 5, 5]]
[[9], [9], [5, 5, 5], [6, 6], [6, 9], [6, 9], [7, 7], [9], [8, 8], [9], [5, 5, 5], [5, 5, 5], [7, 8], [9], [6, 6], [9], [7, 9], [9], [6, 6], [5, 9]]
[[9], [5, 5, 5], [9], [5, 8], [8, 8], [7, 7], [9], [9], [5, 5, 5], [6, 9], [6, 6], [5, 5, 5], [9], [9], [6, 6], [9], [6, 6], [7, 7], [6, 9], [9], [9]]
[[9], [9], [6, 6], [5, 5, 5], [8, 8], [5, 5, 5], [9], [5, 5, 5], [9], [9], [5, 9], [9], [6, 6], [7, 7], [8], [6, 6], [9], [7, 7], [9], [6, 6], [9], [9]]
[[9], [5, 5], [6, 6], [5, 9], [9], [5, 9], [9], [6, 6], [7, 7], [6, 6], [9], [9], [5, 5], [7, 7], [5, 9], [5, 5], [6, 8], [6], [8], [9], [5, 8], [9], [9]]
[[9], [8], [6], [5, 5], [9], [5, 9], [6, 8], [6, 6], [9], [9], [6, 6], [9], [9], [7, 7], [5, 5], [8], [5, 5], [7, 7], [9], [6, 6], [5, 5], [9], [9], [5, 9]]
[[9], [9], [6, 6], [6, 6], [9], [5, 7], [7], [9], [6, 6], [9], [5, 5], [5, 8], [8], [5, 5], [9], [9], [9], [6, 6], [9], [9], [7], [5, 8], [5, 5], [5, 7], [9]]
[[8], [9], [7], [5, 5], [9], [9], [5, 7], [9], [9], [5, 7], [6, 6], [9], [9], [6, 6], [7], [8], [6, 6], [9], [5, 5], [9], [9], [8], [5, 5], [6, 6], [5, 5], [9]]
[[9], [9], [9], [5, 5], [5, 5], [9], [9], [], [5, 5], [7], [6, 6], [6, 6], [5, 5], [7], [9], [9], [9], [6, 6], [6, 6], [5, 7], [9], [9], [8], [8], [5, 7], [9], [8]]
[[8], [9], [5, 5], [9], [9], [], [9], [6, 6], [5, 5], [7], [9], [9], [8], [5, 5], [7], [6, 6], [7], [9], [6, 6], [9], [9], [9], [9], [5, 5], [5, 5], [7], [8], [6, 6]]
[[], [7], [6, 6], [8], [9], [9], [9], [8], [9], [9], [5, 5], [7], [5, 5], [5, 5], [9], [5, 5], [6, 6], [8], [5, 5], [], [7], [6, 6], [9], [9], [9], [9], [9], [7], [6, 6]]
[[9], [6, 6], [9], [5, 5], [8], [9], [5, 5], [5, 5], [5, 5], [5, 5], [9], [6, 6], [8], [], [7], [9], [8], [7], [9], [9], [], [9], [7], [9], [6, 6], [9], [9], [7], [6, 6], []]
[[9], [8], [5, 5], [8], [], [7], [9], [5], [7], [], [6, 6], [], [5, 5], [9], [9], [9], [7], [8], [6, 6], [5, 5], [9], [9], [6, 6], [9], [5, 7], [9], [6, 6], [], [5, 5], [9], [9]]
[[7], [7], [9], [6], [9], [9], [8], [9], [8], [7], [], [9], [5, 5], [5, 5], [9], [6], [6], [6], [6], [9], [5, 5], [7], [5, 5], [5, 5], [6], [9], [9], [6], [9], [6], [9], [8]]
[[9], [], [6], [8], [7], [9], [9], [7], [6], [9], [9], [5, 5], [6], [9], [9], [5, 5], [9], [9], [6], [7], [6], [6], [5, 5], [7], [8], [6], [8], [6], [9], [9], [5, 5], [5, 5], []]
[[9], [5, 5], [6], [9], [5, 5], [9], [9], [9], [7], [6], [], [7], [6], [5, 5], [5, 5], [7], [6], [9], [9], [6], [], [8], [8], [], [9], [9], [6], [7], [9], [9], [8], [5, 5], [6], [6]]
[[6], [9], [7], [], [7], [6], [9], [5, 5], [9], [9], [8], [6], [7], [5, 5], [9], [9], [6], [8], [6], [8], [5, 5], [6], [7], [9], [], [9], [], [6], [9], [9], [6], [], [5, 5], [5, 5], [9]]
[[6], [5], [8], [5], [9], [5], [9], [5], [9], [5], [5], [9], [9], [6], [7], [9], [5], [5], [8], [9], [9], [9], [7], [6], [6], [8], [9], [6], [7], [6], [9], [6], [5], [7], [5], [6]]
-EndAllocation

Instance: [[1], [248], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [4, 4, 5, 5, 5, 5, 9, 9, 9]]
[[7, 7, 7, 7, 8, 8, 8, 8, 8, 8], [3, 7, 8], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 7, 7, 7, 7, 7, 9]]
[[4, 4, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8], [3, 9, 9], [9, 9, 9, 9, 9, 9]]
[[3, 4, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5], [6, 9, 9, 9], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8], [7, 7, 7, 7, 7]]
[[3, 4, 4, 6, 6, 6], [9, 9, 9, 9], [], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8]]
[[3, 4, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 5], [4]]
[[8, 8, 8, 8], [3, 4, 4, 5, 6, 9], [7, 7, 7, 9], [6, 6, 6, 6, 6], [6, 6, 6, 7], [5, 5, 5, 9, 9], [9, 9], [], [9, 9], [7, 8, 8, 8]]
[[3, 4, 4, 5, 5, 6], [5, 5, 6], [6, 8, 8, 8], [6], [6, 8, 8, 8], [6], [7, 7, 7, 7], [6, 7, 8], [6, 6, 9, 9], [9, 9, 9], [9, 9, 9]]
[[3, 4, 4, 5, 5, 6], [6, 6, 6, 6], [5, 5, 9, 9], [6, 6, 6, 6], [], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [], [9, 9, 9], [9, 9, 9], [7, 8]]
[[6, 6, 6, 6], [3, 4, 4, 5, 7], [7], [6, 7], [7], [7, 9, 9], [8, 8, 8], [9], [6, 6, 6, 6], [9, 9], [8, 8, 8], [8, 9, 9], [5, 5, 5, 9]]
[[3, 4, 4, 8], [6, 9, 9], [6, 6, 6, 6], [9, 9], [], [6, 6, 6, 6], [7, 7], [9, 9], [7, 7, 7], [], [8, 8, 8], [9, 9], [8, 8, 8], [5, 5, 5, 5]]
[[3, 4, 4], [5, 8, 8], [5, 9], [9, 9], [6, 6, 6], [5, 5, 9], [7, 7], [8, 8], [8, 8], [7, 7, 7], [6, 6, 6], [9, 9], [8], [9, 9], [6, 6, 6]]
[[3, 6, 6, 6], [6, 6, 6], [4, 8, 9], [9, 9], [4, 9], [8, 8], [6, 6, 6], [9, 9], [7, 7, 7], [], [], [8, 8], [7, 7], [9, 9], [8, 8], [5, 5, 5, 5]]
[[6, 6, 6], [6, 6, 6], [6, 6, 6], [8, 8], [], [9, 9], [5, 5, 5], [9, 9], [8, 8], [9, 9], [8, 9], [3, 4, 4, 9], [], [8, 8], [7], [7, 7], [5, 7, 7]]
[[3, 4, 4, 5], [9], [5, 9], [9, 9], [8, 8], [7, 8], [], [9, 9], [6, 6, 6], [], [6, 6, 6], [7, 7], [8, 8], [5, 5, 8], [9], [7, 7], [6, 6, 6], [8, 9]]
[[4, 4], [6, 6, 6], [9, 9], [8, 8], [7, 7], [], [8, 8], [5, 5, 5], [], [6, 6, 6], [7, 7], [9, 9], [], [9, 9], [6, 6, 6], [8, 8], [7, 8], [9, 9], [3, 5]]
[[3, 4, 9], [4, 6, 6], [6, 6], [6, 6], [9], [], [9], [9], [8, 8], [6, 9], [7, 9], [5, 5, 5], [9], [8, 8], [9], [8, 8], [7, 7], [6, 6], [7, 7], [5, 8]]
[[6, 9], [3, 6, 6], [4, 6, 6], [4, 6, 6], [7], [9], [9], [8, 8], [9], [7, 7], [9], [], [6, 6], [9], [9], [9], [5, 5, 5], [7, 7], [8, 8], [5, 8], [8, 8]]
[[3, 6, 6], [4, 6, 6], [4, 6, 6], [6, 6], [5, 5, 5], [8, 8], [5, 9], [], [8, 8], [7, 9], [6], [9], [7, 7], [], [9], [9], [9], [9], [8, 8], [8], [9], [7, 7]]
[[6], [6, 6], [6, 6], [6, 6], [4, 9], [3, 8], [5, 8], [4, 7], [9], [8], [9], [9], [7, 7], [5, 8], [9], [9], [9], [6, 6], [8], [8], [5, 9], [7, 7], [5, 8]]
[[6, 6], [6, 6], [6, 6], [3, 4, 5], [4, 9], [8], [8], [9], [9], [7, 7], [9], [7], [6], [9], [9], [7, 7], [5, 8], [9], [8], [9], [8], [6, 6], [5, 8], [5, 8]]
[[6, 6], [6, 6], [8], [6, 6], [3, 7], [8], [6, 7], [], [5, 8], [9], [9], [5, 8], [9], [9], [9], [9], [8], [8], [6, 7], [9], [5], [6, 7], [5, 8], [4, 7], [4, 9]]
[[6, 6], [3, 7], [6, 6], [6, 6], [6, 6], [4, 8], [4, 8], [7], [8], [7], [9], [8], [9], [9], [9], [9], [9], [9], [6, 7], [7], [9], [8], [8], [8], [5, 5], [5, 5]]
[[6, 6], [6, 6], [6, 6], [4, 9], [3, 8], [9], [7], [9], [5, 8], [9], [9], [5, 7], [6, 7], [8], [9], [7], [8], [5, 5], [9], [], [8], [8], [], [9], [8], [4, 7], [6, 6]]
[[3, 4, 5], [4, 6], [6, 6], [6, 6], [6, 6], [6, 6], [9], [9], [7], [9], [8], [5, 5], [], [9], [7], [9], [8], [8], [8], [7], [9], [7], [8], [9], [9], [5, 7], [8], [8]]
[[6, 6], [3, 8], [6], [6, 6], [5, 5], [6, 6], [9], [9], [8], [5, 5], [7], [8], [7], [9], [], [7], [7], [7], [9], [6, 6], [8], [8], [9], [9], [8], [8], [9], [9], [4, 4]]
[[8], [6, 6], [9], [5, 7], [8], [5, 7], [8], [8], [9], [9], [7], [9], [5], [8], [9], [8], [9], [9], [], [8], [7], [6, 6], [4, 4], [3, 9], [6, 6], [], [7], [6, 6], [], [5, 6]]
[[9], [3, 6], [6], [5, 5], [7], [4, 6], [6], [8], [6], [6], [8], [7], [9], [8], [9], [8], [7], [7], [6], [9], [8], [9], [6], [9], [9], [8], [9], [5, 5], [8], [7], [4, 6]]
[[3, 6], [4, 6], [8], [8], [9], [8], [7], [7], [6], [9], [6], [6], [9], [8], [5], [6], [7], [8], [9], [9], [9], [8], [6], [9], [5, 5], [6], [7], [8], [5], [9], [7], [4, 6]]
[[3, 7], [6], [6], [8], [7], [8], [8], [7], [5, 5], [6], [8], [5, 5], [7], [9], [7], [9], [6], [9], [6], [6], [6], [9], [9], [9], [8], [9], [8], [6], [8], [6], [9], [], [4, 4]]
[[4, 6], [7], [3, 6], [], [5, 5], [6], [9], [6], [9], [9], [7], [7], [8], [9], [8], [9], [6], [5, 5], [6], [8], [9], [6], [6], [8], [6], [8], [], [9], [7], [8], [7], [4], [9], [8]]
[[7], [7], [4, 4], [6], [5, 5], [6], [8], [8], [9], [], [7], [8], [], [7], [9], [], [6], [6], [8], [9], [8], [6], [8], [7], [6], [9], [5, 5], [9], [8], [9], [9], [9], [6], [6], [3, 6]]
[[3, 6], [8], [8], [4, 4], [6], [5], [6], [5], [8], [9], [9], [8], [9], [6], [9], [9], [9], [6], [7], [6], [7], [7], [], [], [6], [6], [7], [7], [9], [8], [8], [9], [8], [5], [6], [5]]
-EndAllocation

Instance: [[1], [247], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 8, 8, 8, 8, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 9, 9, 9]]
[[4], [3, 6, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 9]]
[[], [8, 8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9, 9, 9], [6, 8, 8, 8, 8, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [3, 3, 3, 3, 3, 6, 9, 9, 9], [8, 8, 8, 8, 9], [9, 9, 9], [9, 9, 9, 9, 9]]
[[], [6, 9, 9], [8, 8, 8, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [4, 8, 8, 8, 8], [9, 9, 9, 9]]
[[], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4], [6, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [3, 3, 3, 3, 3], [6, 9, 9], [8, 8, 8], [9, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [], [8, 9, 9], [3, 3, 3, 3, 3], [9, 9, 9], [9, 9, 9], [6, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 9, 9], [8, 8, 8], [9, 9, 9]]
[[9], [9, 9], [9, 9], [8, 8, 8], [8, 9], [4, 4, 9], [9, 9], [9, 9], [6, 9, 9], [3, 3, 3, 3, 3, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [8, 8, 8], [8, 9], [9, 9], [6, 9, 9], [4, 4, 9], [3, 3, 3, 3, 3, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [4, 8, 8], [9, 9], [9, 9], [9, 9], [3, 9, 9], [4, 8, 8], [9, 9], [6, 9], [9, 9], [3, 3, 3, 3, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 8], [], [6, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 9], [3, 3, 3, 3, 3], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [8, 8], [9, 9], [9, 9], [3, 3, 3, 3, 3], [9, 9], [6, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [8, 8], [9, 9], [4, 4, 4], []]
[[], [], [3, 3, 3, 3, 3], [9, 9], [6, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 4, 4], [9], [9], [8, 9], [4, 4, 9], [3, 9], [8, 9], [9], [3, 3, 9], [9], [4, 4, 9], [8, 9], [9], [8, 9], [9], [6, 9], [3, 3, 9]]
[[9], [3, 3, 9], [8, 9], [9], [6, 9], [9], [3, 3, 3], [9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [8, 9], [9], [4, 4, 9], [8, 9], [9], [9], [8, 9]]
[[9], [3, 4, 9], [9], [4, 9], [4, 9], [8, 8], [9], [9], [9], [9], [9], [6, 9], [9], [4, 4, 4, 4], [8, 8], [9], [9], [9], [3, 3, 9], [4, 9], [3, 3, 9]]
[[9], [6, 9], [9], [9], [9], [9], [8, 8], [9], [4, 9], [9], [3, 3, 3, 3, 3], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [8, 8], [9], [9], [9]]
[[9], [8], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [3, 9], [9], [3, 3, 8], [4, 4, 4], [4, 9], [4, 9], [9], [9], [6, 8], [3, 3, 8]]
[[9], [9], [4, 4, 4], [3, 3, 3, 3], [9], [4, 9], [9], [8], [9], [4, 9], [9], [6, 8], [9], [9], [4, 8], [8], [4, 9], [3, 9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [3, 3, 3, 3], [9], [4, 4, 4], [9], [3, 9], [9], [9], [9], [8], [8], [9], [4, 9], [8], [9], [4, 8], [9], [6], [4, 9]]
[[9], [4, 4, 4], [9], [8], [3, 9], [9], [9], [9], [6], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [3, 3, 3, 3], [9], [9], [9], [9], [4, 8], [9], [9], [4, 8]]
[[9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [3, 8], [9], [9], [9], [8], [3, 3, 3, 3], [9], [9], [9], [6], [9], [9], [9], [8], [4, 9]]
[[9], [9], [9], [4, 4, 4], [9], [], [3, 8], [4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [9], [6], [8], [9], [9], [8], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [9], [9], [9], [4, 6], [9], [9], [8], [9], [9], [8], [4, 4, 4], [3, 3, 3, 3], [], [9], [3, 9], [9], [4, 4, 4], [9], [8], [9], [9], [], [4, 8]]
[[], [8], [9], [9], [9], [9], [8], [9], [8], [3, 3, 3, 3], [9], [9], [9], [4, 4, 4], [9], [9], [3, 9], [9], [9], [9], [9], [9], [9], [], [6], [4], [], [4, 4, 4], [4, 8], [9]]
[[9], [6], [9], [3, 3], [4, 4], [9], [8], [9], [9], [9], [8], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [3, 3, 3], [], [9], [8], [4, 4], [9], [9], [8], [9]]
[[9], [], [], [9], [3, 3, 4], [9], [9], [4, 4], [8], [9], [9], [], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [9], [8], [9], [9], [9], [3, 3, 3], [8], [9], [9], [4, 6], [9]]
[[9], [9], [9], [8], [], [9], [9], [9], [9], [9], [9], [9], [3, 3, 3], [9], [], [4, 4], [6], [9], [8], [], [9], [4, 4], [4, 4], [4, 4], [9], [8], [8], [9], [9], [9], [9], [3, 3], []]
[[9], [], [9], [], [9], [9], [4, 4], [9], [9], [6], [9], [9], [9], [9], [8], [9], [8], [4, 4], [4, 4], [9], [3, 3], [4, 4], [8], [], [3, 3, 3], [9], [9], [9], [9], [9], [8], [], [], [9]]
[[9], [9], [9], [], [4, 4], [9], [9], [9], [8], [8], [9], [8], [9], [9], [3, 6], [4, 4], [3, 3, 3], [9], [], [9], [9], [4, 4], [], [], [], [4, 4], [9], [3], [9], [9], [8], [9], [], [9], [9]]
[[9], [3, 3], [9], [], [4, 4], [], [8], [9], [9], [9], [], [9], [4, 4], [], [], [9], [8], [], [9], [9], [8], [9], [9], [9], [9], [6], [9], [8], [], [4, 4], [9], [9], [9], [3, 3, 3], [9], [4, 4]]
-EndAllocation

Instance: [[1], [246], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,36. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,36:
-StartAllocation
[[8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9]]
[[4], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8]]
[[], [8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9, 9]]
[[], [8, 9, 9], [4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [9, 9, 9, 9]]
[[], [8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9], [9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[], [4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9, 9]]
[[9], [4, 4, 4, 9], [9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [8], [9, 9], [4, 4, 4, 4, 4], []]
[[], [], [9, 9], [9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 8], [4, 4, 9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [8, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 9], [9], [8, 9], [9], [4, 4, 4, 4], [8, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [8], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [4, 9]]
[[9], [9], [4, 9], [9], [8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [8, 8], [9], [9], [9]]
[[9], [8], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 8]]
[[9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [4, 9], [4, 4, 4], [9], [4, 8], [9], [9], [4, 8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [8], [9], [4, 4, 4], [9], [9], [4, 8], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [4, 9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [4, 8]]
[[9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [8], [9], [9], [9], [8], [4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [4, 8], [], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [4], [4, 8], [9], [9], [], [4, 8]]
[[], [8], [9], [9], [], [9], [4, 8], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [4, 4, 4], [4, 8], [9]]
[[9], [9], [9], [], [4, 4], [9], [9], [4, 4], [4, 4], [9], [8], [9], [4, 4], [9], [4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [], [9], [9], [4, 4], [9], [9], [8], [9]]
[[9], [], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [8], [4], [8], [9], [4, 4], [9], [9], [8], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [9], [4], [9], [4, 4], [4, 4], [9], [9], [8], [], [9], [4, 4], [4, 4], [4, 4], [4, 4], [8], [8], [9], [4, 4], [9], [9], [9], []]
[[9], [], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [4], [9], [9], [8], [], [], [9]]
[[9], [9], [9], [], [4, 4], [9], [9], [9], [9], [8], [9], [8], [9], [9], [], [4, 4], [9], [4, 4], [], [4, 4], [9], [4, 4], [4, 4], [4], [], [4, 4], [9], [9], [9], [9], [8], [9], [], [9], []]
[[9], [9], [9], [], [4, 4], [], [4, 4], [9], [9], [9], [], [9], [4, 4], [], [4, 4], [9], [8], [], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], [8], [], [4, 4], [9], [9], [4], [], [9], [4, 4]]
-EndAllocation

Instance: [[1], [259], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [173, 116, 86, 69, 58, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [130, 87, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 7, 9, 9, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9]]
[[], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9]]
[[], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [4, 4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [7, 9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 8, 8], [4, 4, 4, 7], [4, 4, 4, 4]]
[[], [9, 9], [9, 9], [], [7, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9]]
[[], [9, 9], [], [], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [9], [9, 9], [7, 9]]
[[9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [8, 8], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [7, 9], [9], [9], [4, 9], [4, 9], [8, 8], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [7, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [8, 8]]
[[9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 7], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 8]]
[[9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [8], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 8], [9], [4, 9]]
[[9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 8], [9], [9], [4, 9], [4, 4, 4], [4, 7], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 8], [9], [9], [8], [9], [9], [7]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [8], [7], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], []]
[[9], [9], [9], [4, 4, 4], [9], [8], [4, 7], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [], [8], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [], [4, 4, 4], [], [9], [7], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [8], [], [9], [9], [9]]
[[9], [9], [9], [8], [9], [4, 4, 4], [4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [], [9], [4, 4, 4], [9], [], [9], [9], []]
[[9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 4], [7], [9], [9], [9], [], [9], [4, 4], [9], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [9], [4, 4]]
[[8], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [7], [], [4, 4], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 4]]
[[], [9], [9], [], [9], [8], [7], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [8], [], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9]]
[[7], [9], [4, 4], [9], [9], [4, 4], [], [], [], [9], [9], [9], [4, 4], [9], [], [9], [9], [8], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [8], [4, 4], [], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [7], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [], [9], [], [], [9], [9], [8], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], []]
-EndAllocation

Instance: [[1], [258], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 7, 7, 9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [7, 7, 8, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 7, 7], [9, 9, 9]]
[[], [7, 7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9]]
[[], [8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 8], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9], [9, 9], [9, 9], [7, 7, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 8], [4, 4, 7, 7], [4, 4, 4, 9]]
[[], [9, 9], [9, 9], [], [7, 7], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9]]
[[], [9, 9], [], [], [4, 4, 4, 4, 4], [9], [4, 4, 4, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [9], [9, 9], [4, 7, 7]]
[[9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [7, 7], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [8, 9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 7], [9], [9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [7, 7], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [8]]
[[9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [7, 7], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [7, 7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 8], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 8], [9], [9], [4, 9], [4, 4, 4], [4, 7], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [7]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [8], [7], [9], [9], [9], [7], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], []]
[[9], [9], [9], [4, 4, 4], [9], [8], [4, 7], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [], [8], [7], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [7], [9], [9], [8], [9], [9], [4, 4, 4], [], [4, 4, 4], [], [9], [7], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [], [9], [4, 4, 4], [9], [], [9], [9], []]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 4], [7], [9], [9], [9], [], [9], [4, 4], [9], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [9], [7]]
[[9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [7], [9], [4, 4], [7], [], [4, 4], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 4]]
[[], [9], [9], [9], [9], [4, 4], [7], [9], [9], [9], [9], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [], [9], [9], [8], [], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [7]]
[[7], [9], [4, 4], [9], [9], [4, 4], [], [], [], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [8], [4, 4], [], [9], [9], [9], [7]]
[[9], [9], [4, 4], [7], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [], [9], [], [], [9], [9], [8], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [7], [9], [9], []]
-EndAllocation

Instance: [[1], [257], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [7, 7, 7, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 7, 7, 7], [9, 9]]
[[], [7, 7, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [7, 7, 7], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 7], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [7, 7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9], [9, 9], [9, 9], [7, 7, 7], [9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 7, 7], [4, 4, 4, 9]]
[[], [9, 9], [9, 9], [], [7, 7, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9]]
[[], [9, 9], [], [], [4, 4, 4, 4, 4], [9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 7], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 7, 7]]
[[9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [7, 9]]
[[9], [7, 7], [4, 4, 9], [4, 4, 9], [9], [7, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [7, 7], [9], [9], [7, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [7, 7], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [7, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 7], [9], [9], [7, 7], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [7, 7], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9]]
[[9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 7], [9], [9], [7], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [7], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [7]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [7], [7], [9], [9], [9], [7], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], []]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 7], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [7], [9], [9], [9], [9], [9], [7], [4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [7], [7]]
[[9], [9], [4, 4, 4], [7], [9], [9], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [], [9], [7], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4], [9], [7], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [], [9], [4, 4, 4], [9], [], [9], [9], []]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [7], [9], [9], [9], [], [9], [4, 4], [9], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [7], [7]]
[[9], [9], [9], [9], [9], [7], [9], [], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [7], [], [4, 4], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 4]]
[[], [9], [9], [9], [9], [4, 4], [7], [9], [9], [9], [9], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [], [], [4, 4], [7], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [7]]
[[7], [9], [4, 4], [9], [9], [4, 4], [], [], [7], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [], [9], [7]]
[[9], [9], [9], [7], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [], [9], [], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [7], [7], [9], []]
-EndAllocation

Instance: [[1], [256], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [170, 114, 85, 69, 57, 49, 42, 38, 34, 32, 29, 26, 25, 24, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [128, 86, 64, 52, 43, 37, 32, 29, 26, 24, 22, 20, 19, 18, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [4, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 9, 9, 9], [9, 9, 9], [4, 4, 9], [4, 9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 9]]
[[], [4, 4, 4], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 8], [4, 4, 4], [], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [8, 8, 9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 9], [9, 9], [9, 9], [8, 8, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 9], [8, 8], [4, 4, 4, 9], [9, 9], [4, 4, 9]]
[[], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [9, 9], [8], [9, 9], [4, 4, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4], [9, 9], [9, 9], [4, 4], [9, 9], [9, 9], []]
[[], [9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [9, 9], [9, 9], [], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4]]
[[], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9]]
[[9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9]]
[[9], [8, 8], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [4, 8]]
[[9], [4, 9], [9], [4, 4, 4], [9], [9], [8], [4, 9], [9], [4, 4, 4], [4, 9], [8], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [4, 4], [4, 9], [9], [9], [9], [9], [8], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [], [9], [9], [9], [4, 4, 4]]
[[8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4]]
[[9], [9], [4], [9], [4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [8]]
[[9], [9], [4, 4, 4], [9], [9], [9], [8], [8], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9]]
[[], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 8]]
[[9], [4, 4], [4, 4], [4, 4], [9], [4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [8], [9], [4, 4], [8], [9], [9], [9], [9], [9], [9], [9], []]
[[], [8], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [9], [9], [4], [9], [], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [9]]
[[9], [9], [9], [4, 4], [9], [9], [9], [], [], [4, 4], [9], [4, 4], [9], [], [4], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9]]
[[], [9], [8], [9], [4, 4], [4], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [4], [8], [9], [9], [], [9], [], [9], [9], [9], [9], [4], [4, 4], [9], [4, 4], [4, 4], [9], [9]]
[[9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [8], [], [4], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [4, 4], [8], [9], [9], [4, 4]]
[[9], [9], [9], [4], [9], [9], [], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [4, 4], [8], [], [9], [8], [9], [], [4], [9], [4, 4], [4, 4], [4], [4, 4]]
-EndAllocation

Instance: [[1], [255], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [170, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [128, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[8, 9, 9, 9], [2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8], [3, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 9], [2, 2, 2, 4, 8, 8, 8, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 9, 9, 9], [2, 2, 2, 3, 6, 6, 6, 6, 8, 8, 8, 8]]
[[], [3, 5, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9], [2, 2, 2, 6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 7, 7, 7, 8]]
[[], [5, 5, 5, 5, 5, 5, 9, 9], [2, 2, 2, 9, 9, 9, 9], [3, 4, 8, 9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 8, 8, 8], [7, 7, 7, 9, 9, 9]]
[[], [9, 9, 9], [3, 7, 8, 8, 8], [5, 5, 5, 5, 5, 5, 9], [4, 8, 9, 9, 9], [2, 2, 2, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7], [9, 9, 9, 9]]
[[], [4, 7, 7, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 8], [9, 9], [5, 5, 5, 5, 5, 5], [2, 2, 2, 8, 8, 8], [9, 9, 9, 9], [3, 7, 9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [2, 2, 2, 9], [4, 9, 9, 9], [3, 7, 7, 7, 9], [8, 8, 8, 9], [9, 9, 9], [6, 6, 6, 6, 9], [5, 5, 5, 5, 5, 5]]
[[], [4, 8], [5, 5, 5, 5, 5, 5], [9, 9, 9], [7, 7, 7, 9], [9, 9], [2, 2, 2, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [3, 9, 9, 9], [9, 9, 9]]
[[], [6, 9, 9], [2, 2, 2, 6, 6, 6], [9, 9, 9], [9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8], [4, 5], [7, 7], [3, 7, 8, 9]]
[[], [9, 9], [9, 9], [7, 7, 7], [6, 6, 6, 6], [9, 9], [8, 8, 8], [5, 9, 9], [5, 5, 5, 5, 5], [9, 9], [2, 2, 2, 3, 9], [4, 9, 9], [8, 9, 9]]
[[], [9, 9], [9, 9], [3, 9, 9], [9, 9], [4, 5, 7, 7], [6, 6, 8], [9, 9], [9], [7, 9, 9], [2, 2, 2, 6, 6], [9, 9], [5, 5, 5, 5, 5], [8, 8, 8]]
[[], [9, 9], [5, 7, 9], [9, 9], [2, 2, 2, 5, 9], [5, 5, 5, 5], [6, 9], [9, 9], [9, 9], [6, 6, 6], [4, 8, 8], [8, 8], [9, 9], [9, 9], [3, 7, 7]]
[[], [], [2, 2, 2, 5, 5, 5], [6, 6, 6], [8, 9], [4, 8, 8], [9, 9], [5, 5, 5], [7, 7, 7], [6, 8], [9, 9], [9, 9], [9, 9], [9, 9], [3, 9, 9], [9, 9]]
[[], [3, 5, 5], [2, 9, 9], [], [7, 7], [9, 9], [9, 9], [9, 9], [6, 9], [8, 8], [2, 4, 9], [8, 8], [7, 9], [9, 9], [2, 6, 6, 6], [5, 5, 5, 5], [9, 9]]
[[], [9, 9], [], [9, 9], [6, 7, 7], [8, 8], [5, 5, 5, 5], [9, 9], [6, 6, 6], [3, 9], [8, 9], [9, 9], [], [5, 5, 8], [9, 9], [9, 9], [7, 9], [2, 2, 2, 4]]
[[], [], [6, 6, 6], [5, 9], [5, 5, 7], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [2, 2, 2], [9, 9], [5, 5, 5], [3, 4, 8], [6, 8], [], [9, 9]]
[[9], [9], [9], [5, 5, 6], [6, 9], [9], [5, 9], [9], [9], [4, 8], [3, 9], [9], [8, 8], [2, 2, 2, 9], [6, 9], [7, 9], [6, 9], [5, 5, 5], [8, 9], [7, 7]]
[[9], [2, 2, 2, 7], [7, 9], [3, 8], [9], [9], [4, 8], [9], [5, 6, 6], [8, 9], [9], [9], [9], [6, 9], [8, 9], [9], [6, 7], [5, 9], [9], [5, 9], [5, 5, 5]]
[[9], [7, 7], [3, 9], [5, 5, 5], [6, 6], [9], [9], [5, 9], [8], [9], [2, 2, 2, 9], [7, 9], [9], [4, 5, 5], [9], [8, 8], [9], [6, 9], [9], [9], [6, 8], [9]]
[[9], [8, 8], [4, 7], [9], [6, 9], [8], [9], [9], [5, 5, 5], [2, 2, 9], [8], [9], [9], [9], [2, 9], [5, 5], [9], [9], [7, 9], [9], [3, 6, 7], [5, 9], [6, 6]]
[[9], [5, 9], [9], [9], [9], [5, 8], [9], [9], [6, 8], [9], [9], [9], [4, 9], [2, 2, 2, 6], [6, 8], [7, 7], [9], [5, 5], [5, 5], [9], [9], [9], [6, 7], [3, 8]]
[[9], [8], [5, 5], [4, 9], [5, 9], [9], [8], [3, 9], [9], [9], [2, 2, 2, 7], [8], [9], [9], [8], [5, 5], [9], [9], [6, 6], [5, 9], [9], [9], [7, 7], [6, 6], [9]]
[[9], [2, 2, 2, 6], [9], [7], [6, 7], [9], [6, 6], [9], [8], [5, 8], [5, 8], [5, 5], [9], [7], [4, 9], [9], [9], [3, 9], [9], [9], [9], [5, 5], [8], [9], [9], [9]]
[[9], [9], [9], [7], [8], [4, 5], [8], [9], [7], [5, 5], [5, 8], [9], [9], [5, 7], [2, 2, 2], [5, 8], [9], [9], [9], [6, 6], [9], [9], [9], [9], [3, 9], [9], [6, 6]]
[[8], [7], [9], [9], [5, 5], [9], [9], [9], [3, 9], [9], [9], [9], [8], [], [9], [8], [6, 6], [5, 5], [5, 5], [8], [4, 9], [2, 2, 9], [7], [7], [9], [9], [6, 6], [2, 9]]
[[9], [9], [9], [9], [7], [8], [9], [9], [9], [5, 5], [9], [9], [7], [6, 6], [9], [4, 8], [5, 5], [8], [9], [3, 9], [9], [6, 6], [9], [9], [5, 5], [], [7], [2, 2, 2], [8]]
[[9], [9], [2, 2, 2, 5], [9], [9], [9], [8], [6, 6], [6, 6], [], [9], [9], [9], [9], [5, 5], [9], [9], [7], [8], [8], [8], [9], [5, 5], [4], [9], [7], [7], [9], [3, 9], [5]]
[[], [9], [], [7], [6, 6], [2, 9], [9], [9], [9], [9], [4, 7], [9], [9], [8], [8], [9], [9], [9], [5, 5], [2, 9], [6, 6], [], [5, 5], [7], [9], [3, 9], [8], [], [9], [5, 5], [2, 8]]
[[7], [6], [5, 5], [9], [6], [9], [9], [9], [4], [9], [7], [8], [9], [5, 5], [6], [9], [8], [9], [9], [9], [8], [3], [9], [8], [2, 2, 2], [5, 5], [9], [9], [6], [9], [9], [7]]
[[], [8], [9], [6], [9], [9], [8], [9], [5, 5], [8], [3], [9], [7], [9], [9], [5, 5], [9], [9], [9], [9], [6], [9], [6], [4], [9], [7], [5, 5], [9], [6], [2, 2, 2], [7], [8], [9]]
[[9], [9], [], [2, 2, 2], [6], [6], [9], [8], [7], [9], [6], [3], [9], [], [9], [5, 5], [9], [5, 5], [9], [7], [5, 5], [8], [9], [9], [7], [8], [9], [9], [6], [4], [8], [9], [9], [9]]
[[6], [5, 5], [8], [9], [8], [7], [9], [5, 5], [9], [8], [], [7], [5, 5], [9], [6], [9], [9], [9], [2, 2, 2], [9], [9], [], [9], [], [9], [6], [7], [9], [6], [4], [9], [8], [3], [9], [9]]
[[9], [], [9], [5, 5], [9], [7], [9], [6], [9], [9], [9], [5, 5], [9], [8], [], [], [5, 5], [9], [7], [8], [9], [], [8], [3], [6], [9], [2, 2, 2], [6], [], [4, 6], [9], [9], [8], [9], [9], [7]]
[[9], [7], [9], [9], [6], [7], [6], [6], [], [9], [9], [9], [5], [9], [5], [9], [8], [5], [9], [5], [5], [9], [9], [9], [8], [8], [9], [3], [8], [7], [9], [6], [9], [4], [5], [2, 2, 2], []]
-EndAllocation

Instance: [[1], [254], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[], [4, 6, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [6, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [6, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9], [4, 9, 9, 9], [9, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8]]
[[], [8, 9, 9], [9, 9, 9], [6], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 6, 8, 9], [], [4, 4, 4, 4, 4, 4, 4], [9]]
[[9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [6, 9, 9], [8, 9, 9]]
[[], [6, 9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [6, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4, 4], [6, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [6], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [6], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [8, 9], [4, 4, 4, 6], [9, 9], []]
[[9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 9], [9], [9], [6, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [6, 9], [4, 9]]
[[9], [9], [4, 9], [6, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 4, 8], [9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [8], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [6, 9], [9], [4, 4, 4, 4], [4, 9]]
[[9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 6], [9], [9], [4, 4, 4], [9], [9], [8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 6], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [4, 8], [4, 4, 4], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [9], [9], [9], [6], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [6], [9], [9], [9]]
[[9], [4, 4, 4], [6], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9]]
[[], [4, 4, 4], [], [9], [6], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [6], [], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [], [9]]
[[9], [4, 4, 4], [9], [4, 4], [], [4, 6], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [6], [4], [4, 4], [9], [9], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [4], [4, 4], [9], [6], [9], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9]]
[[9], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 6], [9], [], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [4, 4]]
[[], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4], [], [9], [9], [], [9], [9], [4, 4], [6], [4, 4]]
[[9], [9], [9], [], [9], [], [9], [4, 4], [], [6], [9], [4, 4], [4, 4], [9], [9], [8], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [4], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [4], [9], [9], [4, 4], [9], [9], [], [9], [8], [], [4, 4], [6], [9], [4, 4]]
-EndAllocation

Instance: [[1], [253], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,37. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 30, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 23, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,37:
-StartAllocation
[[7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9], [8, 9, 9, 9]]
[[9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 7, 7, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 9, 9], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9], [9]]
[[], [7, 7, 9, 9], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 7, 9, 9], [9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9]]
[[], [4, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 7, 9]]
[[], [7], [4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7], [8, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [7, 7], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [8, 9], [9, 9], [9, 9], [4, 7, 7], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [8, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4], [9, 9], [9, 9], [8], [4, 4, 4, 7], [], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 7, 7], [4, 4, 8], [], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [7, 9], [9]]
[[9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [9], [8, 9], [9], [7, 7], [4, 9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [9], [9], [9], [4, 9], [7, 7], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [8], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [7, 7]]
[[9], [9], [4, 9], [7, 7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [8], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4, 4], [7, 7], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [7], [9], [8], [9]]
[[9], [9], [9], [9], [8], [4, 4, 4], [9], [7], [9], [9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [7], [7], [9], [9], [9], [9], [9], [8], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 7], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [7], [9], [4, 4, 4], [8], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 7], [9], [9], [], [], [9], [4, 7], [9], [8], [4, 4, 4], [4], [9], [4, 4, 4], [9], [9], [9]]
[[], [7], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [8], [9], [9], [7], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [7], [8], [9], [9], [9], [9], [9], [9], [4], [9], [4, 4], [7], [9], [4, 4], [4, 4], [4, 4], [4, 4], [9]]
[[], [9], [4], [4, 4], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [7], [9], [], [9], [9], [8], [9], [9], [9], [9], [7], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [8], [9], [], [9], [], [7], [9], [9], [4, 4], [9], [9], [9], [9], [7], [4], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [4, 4], [4, 4]]
[[8], [9], [4, 4], [9], [9], [9], [4], [9], [7], [4, 4], [], [], [], [7], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4]]
[[8], [9], [9], [], [9], [9], [9], [4, 4], [7], [], [4, 4], [9], [9], [], [], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [], [9], [4], [7], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9]]
[[9], [9], [], [9], [4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [7], [9], [9], [], [9], [9], [], [], [9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [], [7]]
-EndAllocation

Instance: [[1], [266], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [177, 118, 89, 72, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [133, 89, 67, 54, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[9, 9, 9], [4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9], [7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 9, 9, 9], [4, 4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 9, 9], [9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 9, 9, 9], [8, 9, 9, 9], [6, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9], [6, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 7], [9], [9, 9, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 8], [9, 9, 9], [6], [9, 9, 9], [9, 9, 9], [4, 4, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [6, 7, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [], [9, 9, 9], [8, 9, 9], [9, 9, 9]]
[[9], [6, 9, 9], [8, 9], [9, 9], [4, 4, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [6, 9], [9, 9], [9, 9], [4, 9, 9], [4, 9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 9, 9], [4, 8, 9], [4, 9, 9], [4, 9, 9], [6], [9, 9], [], [4, 4, 4, 7], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9]]
[[], [6, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [6, 9], [9, 9], [], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 7, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [7, 8], [4, 4]]
[[], [9, 9], [9, 9], [], [], [9], [4, 4, 4, 4], [6, 9], [4, 4, 9], [9], [9, 9], [8, 9], [7], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [8, 9], [7, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [6, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [7, 9], [9], [9], [6, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 4, 4]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [6, 9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 8], [4, 9], [7, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 4, 4, 4], [4, 8], [6, 9], [9], [7, 9], [4, 9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [8], [4, 9], [4, 9], [9], [9], [9], [4, 4, 6], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [7], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [7], [9], [9], [4, 9], [6], [4, 4, 4], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 8], [4, 9]]
[[9], [9], [4, 7], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [6], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [7], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [6], [9], [4, 9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [6], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [7]]
[[9], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [6], [7], [9], [9]]
[[9], [9], [], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [6], [7], [4, 4, 4], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [], [9], [6], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [6], [9], [9], [9], [8], [9], [], [7], [9], [], [4, 4, 4], [], [9]]
[[9], [9], [9], [], [4, 4], [9], [9], [9], [6], [7], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4], [8], [], [4, 4], [9], [4, 4], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 4], [9], [8], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [], [9], [9], [7], [6], [9], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [7], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [9], [9], [6], [8], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [], [9], [4, 4]]
[[], [4, 4], [], [], [9], [4, 4], [9], [7], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [6], [9], [9], [9], [], [8], [4, 4], [], [9], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [9], [6], [], [4, 4], [9], [4, 4], [], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [7], [4, 4], [9], [4, 4], [9], [9], [], [9], [8], [], [9]]
-EndAllocation

Instance: [[1], [265], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [177, 118, 89, 70, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [133, 89, 67, 53, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[1, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[1, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8]]
[[1, 4, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8]]
[[1, 4, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 7, 7], [8, 8, 8, 8, 8, 8, 9]]
[[1, 4, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [9, 9], [9, 9, 9, 9, 9, 9]]
[[1, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9], [4, 6, 6, 6, 6, 6, 6], [5], [5, 5, 5, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[1, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [8], [9], [9, 9, 9, 9, 9], [4, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9], [7, 7, 7, 7, 7, 7]]
[[1, 4, 5, 5, 5, 5, 7, 7], [], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8], [8, 8, 8, 8, 8]]
[[1, 4, 7, 7, 7, 7], [7, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [], [7]]
[[1, 4, 7, 7, 7, 7], [6, 9, 9, 9], [7, 7, 7, 7], [], [8], [5, 5, 5, 5], [8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [8, 9, 9]]
[[1, 4, 7, 7, 7], [7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [], [], [7, 7, 7, 7], [6, 8, 8, 8], [9, 9], [8, 8, 8], [9, 9, 9], [5, 5, 5, 5, 7]]
[[7, 7, 7, 7], [7, 7, 7, 7], [6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [1], [5, 5], [], [9, 9], [5, 5, 6, 6], [9, 9, 9], [9, 9, 9], [4, 8, 8, 8]]
[[4, 7, 7, 7], [7, 7, 7], [7, 7, 7], [9, 9], [], [1, 6, 6, 6, 6], [7, 7, 7], [9, 9], [8, 8, 8], [5, 5, 5, 5], [8, 8, 8], [9, 9], [9, 9], [6, 6]]
[[1, 7, 7, 7], [7, 7, 7], [7, 7, 7], [8, 8, 8], [9], [9, 9], [7, 7, 7], [8, 8, 8], [], [], [5, 5, 5, 5], [6, 9, 9], [6, 6, 9], [9, 9], [4, 6, 6, 6]]
[[1, 4, 7, 7], [7, 7, 7], [7, 7, 7], [8, 8], [9, 9], [8, 8], [6, 6, 6], [8, 8], [9], [5, 5, 5, 5], [], [9, 9], [9, 9], [7, 7, 7], [6, 6, 6], [7, 9]]
[[1, 4, 7, 7], [5, 5, 5, 5], [], [7, 7, 7], [6], [9, 9], [9, 9], [8, 8], [7, 7, 7], [9, 9], [8, 8], [6, 6, 6], [], [8, 8], [9, 9], [6, 6, 7], [7, 7, 7]]
[[1, 4, 7, 8], [9, 9], [7, 7], [7, 7], [9, 9], [7, 7], [5, 5, 5, 5], [9, 9], [6, 6, 6], [], [7, 7], [6, 6, 6], [8, 8], [8, 8], [], [9, 9], [7, 7], [7, 8]]
[[1, 5, 5, 5], [7, 7], [9, 9], [9, 9], [6, 6, 6], [], [8, 8], [9, 9], [8, 8], [9, 9], [8, 8], [7, 7], [], [7, 7], [5], [7, 7], [6, 6, 6], [7, 7], [4, 7, 7]]
[[1, 4, 7], [7, 7], [7, 7], [7, 7], [6, 6, 6], [7, 7], [9, 9], [], [5, 5, 5], [8, 8], [9, 9], [], [6, 6, 6], [9, 9], [9, 9], [8, 8], [8, 8], [7, 7], [], [5, 7]]
[[1, 7, 7], [7, 7], [7, 7], [7, 7], [], [7, 7], [8, 8], [8, 9], [9], [6, 6], [5, 9], [6, 6], [5, 5, 5], [9], [], [9], [8, 9], [8, 8], [6, 9], [7, 9], [4, 6, 7]]
[[1, 4, 9], [7, 7], [7, 7], [5, 6, 6], [8, 9], [5, 5, 5], [], [], [9], [9], [7, 7], [], [8, 9], [8, 8], [7, 9], [9], [8, 8], [7, 7], [6, 6], [6, 6], [7, 9], [7, 7]]
[[1, 4, 7], [7, 7], [7, 9], [6, 6], [6, 9], [9], [7, 7], [], [5, 9], [8, 8], [9], [], [8, 8], [8, 8], [9], [7, 9], [7, 7], [9], [], [6, 6], [7, 7], [5, 5, 5], [6, 7]]
[[1, 4, 6], [7, 7], [7, 7], [7, 9], [7], [8, 8], [7, 9], [], [9], [9], [5], [6, 9], [8, 8], [], [6, 6], [9], [], [7, 7], [7, 7], [9], [8, 8], [7, 9], [5, 5, 5], [6, 6]]
[[7, 7], [7, 7], [7, 7], [9], [], [8], [9], [9], [6, 8], [5, 9], [9], [9], [7, 7], [7, 7], [8], [7, 7], [6, 6], [6, 6], [9], [8], [6, 8], [5, 5], [5, 9], [], [1, 4, 8]]
[[7, 7], [7, 7], [7, 7], [9], [8], [6, 6], [9], [], [6, 6], [9], [9], [], [9], [9], [7, 7], [5, 5], [8], [8], [5, 8], [9], [7, 7], [9], [7, 7], [6, 6], [5, 8], [1, 4, 8]]
[[1, 5, 7], [9], [9], [6, 6], [8], [7], [6, 7], [6, 7], [7], [7], [8], [5, 8], [8], [9], [8], [8], [7], [9], [5, 7], [7], [9], [6, 7], [9], [9], [4, 9], [5, 7], [6, 7]]
[[1, 4, 8], [6, 7], [6, 7], [7], [7], [7], [8], [7], [7], [9], [5, 7], [9], [9], [7], [9], [6, 6], [5, 5], [9], [6, 7], [9], [7], [6, 7], [8], [8], [9], [8], [9], [5, 8]]
[[1, 4, 7], [9], [6, 7], [8], [6, 7], [6, 7], [7], [8], [8], [9], [7], [6, 7], [6, 6], [7], [9], [8], [5, 5], [9], [7], [9], [8], [7], [9], [7], [9], [8], [9], [5, 5], [7]]
[[1, 4, 7], [9], [7], [7], [9], [7], [9], [9], [9], [7], [5, 7], [8], [8], [7], [6, 6], [8], [6, 6], [9], [7], [8], [9], [8], [6, 6], [7], [9], [7], [7], [8], [5, 5], [5, 7]]
[[1, 4, 7], [7], [7], [8], [8], [7], [6, 6], [8], [9], [7], [8], [9], [7], [9], [5, 5], [6, 6], [9], [8], [9], [5, 5], [6, 6], [9], [7], [7], [7], [9], [9], [7], [8], [7], [7]]
[[1, 4, 7], [5, 7], [5, 7], [7], [9], [5, 7], [], [6, 6], [9], [7], [], [7], [8], [8], [], [8], [9], [9], [9], [5, 7], [7], [7], [8], [7], [9], [9], [6, 6], [7], [9], [8], [6, 6], [8]]
[[1, 9], [7], [7], [7], [7], [8], [8], [7], [6, 6], [7], [7], [7], [9], [8], [9], [9], [9], [8], [], [9], [5, 5], [5, 5], [], [8], [7], [9], [7], [9], [6, 6], [8], [7], [4, 7], [6, 6]]
[[1, 7], [6], [7], [7], [7], [7], [8], [8], [9], [7], [8], [7], [6], [9], [7], [9], [6], [9], [8], [7], [9], [9], [6], [8], [9], [5, 5], [5, 5], [7], [7], [8], [9], [7], [6], [4, 6]]
[[1, 8], [5, 5], [7], [7], [7], [7], [7], [7], [7], [9], [7], [6], [9], [5, 5], [6], [8], [6], [6], [9], [8], [6], [9], [7], [6], [7], [4], [9], [9], [8], [9], [8], [7], [7], [8], [9]]
[[1, 7], [6], [7], [7], [7], [7], [6], [8], [6], [7], [6], [8], [7], [9], [], [6], [9], [9], [5, 5], [8], [9], [8], [8], [5, 5], [9], [7], [9], [9], [6], [8], [7], [9], [7], [4], [7], [7]]
[[1, 7], [7], [7], [7], [6], [7], [6], [9], [7], [], [5, 5], [7], [9], [8], [5, 5], [6], [6], [8], [6], [6], [], [8], [9], [7], [9], [7], [8], [8], [9], [7], [9], [9], [7], [9], [7], [8], [4]]
[[1, 7], [5], [7], [7], [7], [7], [6], [9], [7], [6], [6], [9], [9], [7], [7], [], [], [6], [8], [9], [5], [8], [4, 5], [6], [8], [7], [7], [9], [8], [7], [8], [9], [5], [6], [8], [7], [9], [9]]
-EndAllocation

Instance: [[1], [264], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9]]
[[4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [9], [8, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 9, 9, 9], [], [8, 9, 9, 9]]
[[], [4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 8], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 7], [9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 9, 9], [7, 9, 9], [], [9, 9, 9], [4, 9, 9]]
[[9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [7, 8], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [4, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [4, 4], [], [], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4], [], [9, 9], [7, 8], [9, 9], [9, 9], [], [9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [], [9, 9], [], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [4, 4, 4, 4], [9, 9], [], [7, 9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [7, 9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 7], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [4, 9], [4, 7], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [7], [4, 9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [8], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [8]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [7], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [4, 8], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [], [], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [8], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [], [], [9], [9]]
[[9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [9], [4, 4], [9], [7], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [8], [9], [9], [4], [4, 4], [9], [4, 4], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [7], [9]]
[[9], [4, 4], [9], [], [8], [4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [7], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [4], [4, 4], [], [9]]
[[], [9], [9], [9], [4], [9], [], [9], [9], [9], [9], [4, 4], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [8], [9], [9], [9], [], [9]]
[[9], [8], [], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [], [9], [9], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [9], [7], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [263], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 6, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [6, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 6, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [6, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9], [9, 9, 9], [4, 4, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [6], [8, 9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8], [6, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [6, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [6, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4], [9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9], [8, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 9, 9]]
[[9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [8], [4, 4, 4, 4, 4, 4]]
[[], [6, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [4, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [6, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [], [4, 6, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4], [], [9, 9], [8], [9, 9], [6, 9], [], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [], [9, 9], [], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [4, 4, 4, 4], [9, 9], [6], [9, 9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [6, 9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [6, 9], [4, 9], [4, 9], [4, 9]]
[[9], [8], [9], [4, 9], [4, 9], [9], [6, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [6], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [6], [4, 9], [4, 9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [6, 8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [6]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [9], [9], [4, 6], [4, 4, 4], [4, 4, 4], [9], [9], [8]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [6], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [4, 8], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [6], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [6], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [6], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [], [], [9], [9]]
[[9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [9], [4, 4], [9], [9], [6], [9], [9], [9]]
[[], [9], [], [9], [4, 4], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [9], [4, 6], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9]]
[[9], [4, 4], [9], [], [8], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 6], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [6], [9], [], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [4], [4, 4], [], [9]]
[[], [9], [9], [9], [4], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [8], [9], [9], [9], [], [6]]
[[9], [8], [], [9], [9], [9], [], [4, 4], [], [6], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [], [9], [9], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [262], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [174, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [131, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9]]
[[4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [6, 7, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [6, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [6, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9, 9], [7, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 9, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 9, 9, 9], [6], [9, 9, 9, 9]]
[[], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7], [6, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [6, 7], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [6], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 7], [9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9], [9, 9, 9], [7, 9, 9], [], [9, 9, 9], [4, 9, 9]]
[[9], [4, 4, 4, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [6, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4, 4]]
[[], [6, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [6, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [4, 4], [], [], [4, 4, 4, 6], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4], [], [9, 9], [7], [9, 9], [6, 9], [], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [6], [7, 9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [6, 9], [9], [9], [4, 4, 9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [7, 9], [4, 9], [6, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [6, 9], [4, 9], [4, 9], [4, 4, 7], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [6], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 7], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [6], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [7], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [6, 7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 9], [6]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [7], [9], [4, 6], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [6], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [], [6], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [6], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [6], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [], [], [9], [9]]
[[6], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [7], [9], [9], [9], [9]]
[[], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [4, 6], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [7], [9]]
[[9], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 6], [9], [9], [9], [7], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [4, 4], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [7], [4, 4], [9], [6], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [4], [4, 4], [], [9]]
[[], [9], [9], [9], [4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [], [9], [9], [9], [], [6]]
[[9], [9], [], [9], [9], [9], [], [4, 4], [], [6], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [], [9], [9], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [9], [7], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [261], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [174, 116, 88, 70, 58, 50, 44, 38, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [131, 87, 66, 53, 44, 38, 33, 29, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [9], [8, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9], [8, 9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4], [9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9], [], [9, 9, 9], [4, 4, 9, 9]]
[[9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [4, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [], [], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [8], [9, 9], [9, 9], [], [9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [], [9, 9], [], [9, 9], [4, 4, 9], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [4, 9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [8]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [4, 8], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [9], [], [9], [9], [], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4], [9], [], [], [9], [9]]
[[9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], []]
[[], [9], [], [9], [4, 4], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9]]
[[9], [4, 4], [9], [], [8], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [4, 4], [9], [], [9], [], [], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [4, 4], [4, 4], [], [9]]
[[], [9], [], [9], [4, 4], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [8], [9], [9], [9], [], [9]]
[[9], [8], [], [], [9], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [260], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,38. UB Alg: [173, 116, 86, 69, 58, 50, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [130, 87, 65, 52, 44, 38, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,38:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [8, 8], [9, 9], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9]]
[[], [4, 4, 4, 9], [9, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [9, 9], [8, 8], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [4, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [8, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [9]]
[[8], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [8], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[8], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [9], [9], [9], [4, 4, 4], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [9], [8], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4], [9], [9], [8], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [], [9], [9], [8], [4, 4, 4], [9], [], [4], [9], [9]]
[[9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [8], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [4, 4]]
[[8], [9], [9], [4, 4], [9], [9], [], [9], [], [4, 4], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [8], [4, 4], [9], [4, 4], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9]]
[[9], [9], [8], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [9], [4, 4], [9], [4, 4], [4, 4], [], [9], [9], [], [9], [4, 4], [9], [9], []]
[[9], [9], [4, 4], [4, 4], [8], [], [], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [], [8], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [], [9], [9], [], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [8], [8], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [9]]
[[], [9], [9], [], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [9], [], [8], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [4, 4], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [273], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [182, 121, 92, 73, 61, 52, 46, 41, 37, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 9], Opt: [137, 91, 69, 55, 46, 39, 35, 31, 28, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[3, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 8, 8, 8, 8, 8, 8, 8], [5, 6, 6, 6, 6, 6, 6]]
[[9, 9, 9, 9, 9, 9, 9, 9], [3, 5], [6, 6, 6, 6, 6, 6, 7, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8]]
[[3, 6, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [9, 9, 9, 9, 9, 9]]
[[3, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 9, 9, 9, 9]]
[[3, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [9, 9, 9, 9], [], [7, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8]]
[[8, 8, 8, 8, 8], [3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [], [7, 9]]
[[9, 9, 9, 9], [7, 7, 7, 7, 7], [3, 8, 8, 8, 8], [], [7, 7, 7, 7, 7], [5, 5, 5, 5, 9], [7], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8]]
[[3, 7, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7], [5, 8, 9, 9], [6, 9], [9, 9], [5, 5, 5, 8, 8], [9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9]]
[[3, 9, 9, 9], [7, 7, 7], [6, 6, 6, 6, 6], [7, 7, 7, 7], [], [6, 8, 8, 8], [5, 5, 5, 5], [9, 9, 9], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [8]]
[[5, 7, 7, 7], [8], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [], [5, 5, 5, 6, 6], [3], [9, 9, 9], [6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8]]
[[3, 7, 7, 7], [6, 6, 7, 7], [8, 8, 8], [8, 9, 9], [9], [5, 5, 5, 5], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [9, 9], [7, 7, 7], [7, 7, 7], [9, 9]]
[[3, 7, 7, 7], [9, 9], [8, 8, 8], [9, 9], [], [6, 6], [7, 7, 7], [6, 6, 6, 6], [8], [9, 9], [8, 8, 8], [7, 7, 7], [9, 9], [7, 7, 9], [5, 5, 5, 5]]
[[3, 7, 7, 7], [7, 7, 7], [5, 5, 5, 8], [5], [9, 9], [8, 8, 8], [6, 6, 6, 6], [8, 8, 8], [], [], [9, 9], [7, 7], [9, 9], [7, 7, 7], [6, 6, 9], [9, 9]]
[[7, 7, 7], [7, 7, 7], [3], [5, 5, 5, 5], [], [8, 8], [7, 7], [9, 9], [6, 6, 6], [8, 8], [9, 9], [9, 9], [9, 9], [8, 8], [7, 7, 7], [6, 6, 6], [8, 9]]
[[3, 8, 8], [7, 7], [6, 6, 6], [9, 9], [7, 7, 7], [], [5, 5, 5, 5], [8, 8], [], [], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6], [9, 9], [8, 9], [8, 8], [7, 7, 7]]
[[3, 7, 7], [7, 7], [7], [7, 7], [8, 8], [], [9, 9], [7, 7], [6, 6, 6], [8, 8], [8, 8], [9, 9], [], [9, 9], [6, 6, 6], [7, 7], [5, 5, 5, 5], [8, 9], [9, 9]]
[[3, 7, 7], [7, 7], [7, 7], [7, 7], [7, 8], [5, 8], [8], [8], [7, 7], [], [8], [5, 5, 5], [9, 9], [6, 6, 6], [9, 9], [6, 6, 6], [9, 9], [8], [8, 9], [9, 9]]
[[9], [7, 7], [7, 7], [7, 7], [8, 8], [], [8, 8], [9], [7, 7], [6, 9], [8, 9], [6, 6], [5, 5, 5], [9], [7, 9], [], [8, 9], [5, 6, 6], [6, 9], [3, 7, 7], [8, 9]]
[[6, 9], [3, 7, 7], [7, 7], [6, 9], [8, 9], [8, 8], [9], [9], [6, 6], [7, 7], [8, 8], [7, 7], [5, 5, 5], [9], [9], [], [7, 9], [7, 7], [9], [8, 8], [6, 6], [5]]
[[7, 7], [7, 7], [7, 7], [7, 7], [3, 6, 6], [5, 9], [8, 8], [8], [9], [9], [9], [6, 6], [5, 5, 5], [8, 8], [9], [7, 9], [7, 7], [9], [], [9], [9], [8, 8], [6, 6]]
[[7, 7], [7, 7], [7, 7], [3, 5], [5, 5, 5], [9], [9], [], [9], [9], [6, 9], [6, 6], [8, 8], [8, 8], [7, 7], [9], [9], [7, 7], [9], [7], [9], [8, 8], [6, 6], [6, 8]]
[[7, 7], [7, 7], [3, 7], [7, 7], [5, 9], [9], [9], [9], [8], [5, 8], [5, 9], [9], [7, 7], [7, 7], [8], [9], [8], [6, 6], [9], [8], [6, 6], [8], [8], [6, 6], [5, 9]]
[[3, 7], [7, 7], [7, 7], [9], [9], [8], [8], [], [7, 7], [9], [9], [5, 8], [8], [6, 6], [6, 6], [8], [9], [5, 9], [5, 8], [8], [7, 7], [9], [7, 7], [6, 6], [9], [5, 9]]
[[3, 5, 5], [7, 7], [7, 7], [9], [7, 7], [5, 7], [9], [9], [5, 8], [8], [9], [6], [9], [9], [9], [8], [6, 6], [6, 6], [9], [8], [8], [8], [7, 7], [9], [7, 7], [8], [6]]
[[3, 9], [5, 7], [9], [6, 7], [6, 7], [5, 7], [9], [7], [8], [9], [6, 7], [7], [6, 7], [9], [9], [8], [7], [6], [9], [9], [5, 8], [8], [9], [8], [7], [5, 8], [6, 7], [8]]
[[3, 9], [5, 7], [7], [7], [5, 7], [5, 8], [8], [6, 6], [9], [9], [6, 6], [8], [9], [9], [7], [6, 7], [9], [6, 7], [7], [9], [9], [7], [8], [5, 7], [9], [7], [8], [8], [8]]
[[3, 9], [6, 7], [6, 7], [7], [8], [8], [7], [9], [8], [6, 6], [6, 6], [8], [7], [5, 8], [9], [7], [9], [8], [7], [7], [7], [9], [5, 5], [7], [9], [9], [9], [8], [5, 7], [9]]
[[7], [8], [7], [7], [7], [7], [5, 5], [9], [9], [5, 7], [8], [9], [9], [6, 6], [5, 7], [6, 6], [9], [8], [7], [7], [6, 6], [9], [8], [8], [9], [9], [7], [7], [9], [8], [3, 8]]
[[5, 5], [8], [6, 6], [7], [9], [5, 7], [5, 7], [6, 6], [9], [8], [7], [], [9], [9], [7], [8], [9], [8], [7], [9], [7], [9], [8], [8], [7], [7], [9], [7], [7], [8], [6, 6], [3, 9]]
[[9], [5, 6], [5, 7], [9], [7], [8], [6], [8], [6, 6], [5, 5], [7], [7], [8], [7], [9], [9], [], [7], [9], [9], [7], [9], [9], [8], [7], [8], [8], [9], [6, 6], [7], [7], [7], [3, 8]]
[[7], [9], [5, 7], [7], [7], [7], [7], [9], [7], [7], [6, 6], [9], [9], [8], [9], [8], [6, 6], [], [], [], [8], [8], [5, 5], [9], [8], [9], [8], [9], [8], [5, 7], [7], [9], [6, 6], [3, 7]]
[[8], [6], [7], [7], [7], [8], [7], [6], [5, 5], [7], [7], [9], [9], [5, 5], [7], [8], [6], [8], [9], [8], [6], [9], [7], [9], [9], [9], [8], [9], [7], [9], [7], [7], [6], [8], [3, 6]]
[[6], [7], [7], [7], [7], [6], [9], [8], [7], [6], [5, 5], [6], [5, 5], [7], [8], [8], [7], [7], [8], [6], [9], [9], [9], [9], [9], [6], [7], [9], [8], [8], [9], [7], [7], [8], [9], [3]]
[[6], [7], [8], [7], [8], [7], [], [9], [8], [7], [5, 5], [8], [7], [6], [9], [], [7], [7], [7], [6], [7], [6], [9], [7], [9], [8], [7], [9], [9], [9], [9], [8], [6], [9], [3, 6], [8], [5, 5]]
[[], [7], [7], [6], [7], [7], [9], [9], [6], [7], [7], [9], [6], [8], [8], [8], [], [9], [7], [7], [7], [7], [9], [9], [6], [6], [5, 5], [9], [8], [6], [8], [9], [9], [8], [8], [7], [5, 5], [3]]
[[6], [7], [7], [7], [7], [7], [9], [9], [6], [9], [8], [7], [8], [6], [9], [8], [3, 6], [5], [7], [9], [], [5], [9], [8], [5], [5], [9], [8], [9], [8], [7], [6], [7], [], [9], [7], [6], [7], [8]]
-EndAllocation

Instance: [[1], [272], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9]]
[[8], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 9], [7]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9], [7, 8, 8, 9, 9], [4, 4, 4], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 9], [8, 8], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [7], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [4, 7, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9], [7, 9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [7], [], [9, 9], [9, 9], [9], [9, 9], [9, 9], [], [8, 8], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [8, 9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 9], [9], [9], [9]]
[[9], [8, 9], [9], [7, 9], [9], [8, 9], [9], [4, 4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [7, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [8, 8], [9]]
[[9], [7, 9], [8, 8], [9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 9], [4, 9], [7], [4, 8], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 8], [4, 4, 4], [4, 9], [9], [4, 9]]
[[9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [7], [4, 9], [8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [8]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [8], [4, 9], [4, 8], [9], [7], [9], [9], [9], [9], [9], [9]]
[[9], [7], [8], [9], [8], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4]]
[[9], [], [4, 4, 4], [4, 9], [9], [9], [9], [9], [8], [7], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [7], [9], [4, 4, 4], [4, 8], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [], [9], [9], [9], [8], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [8], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9]]
[[], [9], [], [9], [9], [9], [4, 4], [9], [9], [7], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 8]]
[[9], [4, 4], [9], [4, 4], [], [4, 4], [9], [8], [4, 4], [7], [9], [9], [9], [9], [9], [4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [4, 4], [9], [9], [9], [9]]
[[8], [8], [4, 4], [], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [4], [9], [9], [9], [4, 4]]
[[], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [], [4, 4], [4, 4], [8], [9], [9], [9], [9], [7], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
[[9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [9], [4], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4], [], [8], [9], [8], [], [9], [9], [9], [9], [9], [4, 4], [7], [9], [], [9], [9]]
[[9], [4, 4], [9], [4, 4], [9], [8], [9], [7], [9], [4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4], [9], [9], [9], [], [4, 4], [9], [], [], [], [], []]
[[9], [4, 4], [9], [8], [4, 4], [9], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [], [], [9], [4, 4], [], [9], [9], [], [9], [4, 4], [4], [9], [], [], [4, 4], [8]]
-EndAllocation

Instance: [[1], [271], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [7, 7, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 8, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], []]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 9], [9, 9, 9], [9], [4, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9], [9], [8, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [4, 4, 4, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9], [7, 9, 9]]
[[], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [8], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9]]
[[], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9]]
[[], [9, 9], [8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [8, 9], []]
[[9], [9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [7, 9], [9], [7, 9], [4, 4, 4, 4], [9], [9]]
[[9], [4, 9], [4, 9], [7, 8], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [7, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9]]
[[9], [4, 9], [4, 9], [7, 7], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [8]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [8], [7, 7], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [4, 9], [7, 7], [9], [9], [8], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [7, 7], [8], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [4, 9], [9], [4, 9], [8], [7], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 9], [9], [7], [9], [9], [9], [4, 9], [7], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8]]
[[9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [7], [9], [7], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [4, 4], [9]]
[[7], [9], [], [9], [9], [9], [9], [4, 4], [4, 7], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [], [9], [], [7], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [7], [9], [9], [9], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [7], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9]]
[[9], [9], [], [9], [9], [7], [8], [7], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4], [9], [9], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [], [9], [8], [9], [9], [9], [4, 4], [], [7], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [4], [9], [4, 4]]
[[9], [9], [4, 4], [7], [], [9], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [8], [4], [9], [9], [4, 4], [4, 4], [9], [9], [7], [9], [9], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [], [7], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [4], [], [7], [8], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4], [4, 4], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [7], [9], [9], [4, 4], [4, 4], [], [9], [], [], [9], [7], [9], [8], [9], [4, 4], [9], [4, 4]]
[[9], [9], [9], [9], [], [9], [9], [7], [], [9], [9], [4, 4], [4, 4], [], [4, 4], [], [9], [4], [4, 4], [4, 4], [9], [8], [9], [9], [9], [4, 4], [], [9], [], [4, 4], [9], [9], [], [9], [9], [7], [9], [9], [9]]
-EndAllocation

Instance: [[1], [270], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 9, 9, 9, 9, 9]]
[[5, 6, 6, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9], [6, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [5, 5, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9], [5, 5, 6, 6, 9, 9, 9]]
[[], [5, 5, 8], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 6, 6, 8], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9], [5, 5, 6, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9]]
[[], [9, 9, 9, 9], [5, 5, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9], [], [6, 6, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [5, 5, 9, 9], [8, 8, 9], [4, 4, 4, 4, 9], [9, 9, 9], [6, 6, 9, 9], [9, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [5, 5, 9, 9], [6, 9], [9, 9, 9], [8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 6], [9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9], [], [5, 5, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 6, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 6, 9], [4, 4, 4, 4, 4, 4], [5, 5, 9], [9, 9], [9, 9], [4, 8, 8], [9, 9]]
[[], [8, 9], [9, 9], [9, 9], [9, 9], [8, 9], [6, 6, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [5, 5, 9], [4, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 9], [5, 5, 9], [9, 9], [6, 6, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [6, 6, 9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [9, 9], [5, 5, 9], [9]]
[[], [4, 4, 4, 4, 4], [6, 6], [9, 9], [5, 5, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [], [4, 4, 9], [9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [5, 5], [9, 9], [6, 6], [], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [6, 6], [], [9, 9], [4, 4, 4, 4], [], [8, 8], [9, 9], [9, 9], [9], [9, 9], [5, 5], [4, 4, 4, 4], [9, 9]]
[[9], [9], [9], [9], [4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [5, 9], [8, 9], [8, 9], [9], [9], [6, 6], [5, 9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [5, 9], [9], [8, 8], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [9], [9], [9], [6, 6], [4, 4, 9], [4, 4, 9], [9], [9], [5, 9]]
[[9], [6, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 5, 5], [6, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [8, 8], [9]]
[[9], [4, 9], [4, 4, 4, 4], [9], [9], [8, 8], [9], [9], [4, 9], [9], [6, 6], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 5, 5], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [9], [9], [5, 9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [6, 6], [4, 9], [4, 9], [4, 9], [9], [5, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [8], [4, 8], [4, 9], [9], [9], [9], [9], [4, 9], [9], [6, 6], [4, 4, 4], [9], [9], [4, 9], [9], [4, 5, 5], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 9], [9], [8], [9], [9], [9], [4, 9], [9], [8], [9], [9], [6, 6], [4, 9], [9], [5, 5], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 9], [], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [6, 6], [9], [9], [5, 5], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [6, 6], [9], [5, 5], [8], [8], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [5, 5], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [6, 6], [9]]
[[9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [], [6, 6], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [5, 5]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [8], [4, 4, 4], [4], [9], [], [9], [5, 5], [9], [9], [9], [9], [6, 6], [], [4, 4, 4], [8]]
[[9], [9], [], [9], [], [9], [], [9], [], [9], [9], [9], [9], [6, 6], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [5, 5], [], [9], [4, 4, 4], [8], [9]]
[[9], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [9], [9], [6], [], [9], [6], [9], [5, 5], [9], [4], [9], [9], [8], [9], [4, 4], [9], [9]]
[[6], [9], [8], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [6], [], [4, 4], [9], [5, 5], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [8]]
[[9], [9], [], [9], [9], [8], [9], [], [9], [9], [4], [9], [6], [5, 5], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [6], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], []]
[[9], [9], [9], [9], [5, 5], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [9], [4], [4, 4], [9], [9], [], [9], [9], [], [8], [8], [4, 4], [9], [6], [6]]
[[], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [6], [9], [4, 4], [4, 4], [6], [9], [9], [9], [5, 5], [9], [9], [9], [9], [4], [9], [], [8], [], [4, 4], [9], [9], [], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [8], [4, 5], [9], [5], [9], [9], [9], [], [], [4, 4], [4, 4], [9], [9], [6], [], [6], [9], []]
-EndAllocation

Instance: [[1], [269], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 9], [4, 9, 9, 9, 9, 9]]
[[], [8, 8, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9], [8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4], [9, 9, 9], [8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8], [9, 9, 9], [], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 8, 8], [9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [4, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [8, 8], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [8, 8], [9]]
[[9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9], [8, 8], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [8], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [4, 8], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 9], [4, 9], [8], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 8], [4, 9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [8], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [8]]
[[9], [9], [], [9], [], [9], [], [9], [], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9]]
[[9], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9]]
[[9], [9], [8], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [8]]
[[9], [9], [], [9], [9], [8], [9], [], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], []]
[[9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [], [], [9], [9], [], [8], [8], [4, 4], [9], [9], [9]]
[[], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [], [8], [], [4, 4], [9], [9], [], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9], [9], [9], [], [8], [9], []]
-EndAllocation

Instance: [[1], [268], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [178, 120, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [134, 90, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9]]
[[], [8, 8, 8], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [9, 9, 9], [], [4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [4, 9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 9, 9], [], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8], [9, 9], [9, 9], [8, 8], [4, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [4, 4, 4, 8], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9], [9, 9], [], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [8, 9], [9, 9], [], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [], [8, 8], [9, 9], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [8, 9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [8, 8], [8, 9], [4, 4, 9], [9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 8], [9], [8, 8], [9]]
[[9], [4, 4, 8], [4, 4, 4, 4], [9], [9], [8, 8], [9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [8], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [8], [4, 8], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [4, 8], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 9], [4, 9], [8], [9], [9], [9], [4, 9], [9], [8], [4, 9], [9], [4, 8], [4, 9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [8]]
[[9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [], [8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [8], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [], [], [4, 8], [8]]
[[9], [8], [], [9], [], [9], [], [9], [], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9]]
[[9], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [8], [4, 4], [4, 4], [], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9]]
[[9], [9], [8], [4, 4], [9], [], [9], [8], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [8]]
[[9], [9], [], [8], [9], [8], [9], [], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], []]
[[9], [9], [9], [9], [9], [], [9], [8], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [], [], [9], [9], [], [8], [8], [4, 4], [9], [9], [9]]
[[], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [], [8], [], [4, 4], [9], [9], [], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9], [9], [8], [], [8], [9], []]
-EndAllocation

Instance: [[1], [267], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,39. UB Alg: [178, 118, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [134, 89, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 6, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 9], [6, 9, 9, 9, 9, 9]]
[[], [8, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9], [6, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9, 9], [9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 6], [9, 9, 9], [8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 9], [9, 9, 9], [], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [6, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4], [8, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 9], [4, 6, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [4, 4, 4, 4, 4], [6, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [], [4, 4, 4], [9, 9], [4, 4, 4, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [6, 9], [], [8, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4], [6, 9], [], [9, 9], [4, 4, 4, 4], [], [8, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [9], [6, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [9], [9], [8, 9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [6, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [6, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 8], [9]]
[[9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9], [8], [9], [9], [4, 9], [9], [6, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [4, 9], [9], [4, 6], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 6], [4, 4, 4], [9], [9], [4, 9], [9], [8], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 9], [4, 9], [8], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 6], [4, 9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 9], [], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [6], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [6], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [6], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [], [6], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [8], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [6], [], [4, 4, 4], [9]]
[[9], [9], [], [9], [], [9], [], [9], [], [9], [9], [9], [9], [6], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [], [9], [9], [], [9], [6], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [9]]
[[9], [9], [8], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [6], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9]]
[[9], [9], [], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [6], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [4, 4], [], [4, 4], []]
[[9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [], [9], [9], [], [8], [], [4, 4], [9], [9], [6]]
[[], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [6], [9], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [9], [9], [], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9], [9], [9], [], [6], [9], []]
-EndAllocation

Instance: [[1], [280], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [186, 125, 93, 74, 62, 53, 46, 42, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [140, 94, 70, 56, 47, 40, 35, 32, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 7, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 7, 7], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 7, 7], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [], [4, 4, 4, 4, 4, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9], [4, 9, 9], [7, 9, 9], [7, 9, 9], [9, 9], [9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [7, 7, 9], [4, 4, 4, 4, 8], [9, 9]]
[[], [9, 9], [4, 9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 9, 9], [4, 9, 9], [9, 9], [7, 7, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [8, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [], [7, 7], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [], [9], [9, 9], [], [9, 9], [7, 7], [9, 9]]
[[], [9, 9], [8, 9], [4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9]]
[[], [7, 7], [], [9, 9], [], [9, 9], [9, 9], [4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9]]
[[9], [9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9]]
[[9], [9], [8, 9], [9], [9], [9], [9], [4, 4, 4, 4], [7, 9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [7, 9], [4, 9], [4, 9], [4, 8], [4, 9], [4, 9], [7, 9], [4, 9], [4, 4, 4, 4], [9]]
[[9], [4, 9], [7, 9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [7, 9], [4, 9], [9], [8], [9], [4, 9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [4, 9], [8], [9], [9]]
[[9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7, 7], [4, 9], [9], [9], [9], [4, 9]]
[[9], [7], [4, 4, 4], [9], [4, 9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [8], [4, 9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [4, 7], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [7], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 8], [], [4, 4, 4], [9], [4, 9], [7], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [9], []]
[[9], [9], [7], [], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [7], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 7], [9], [9], [4, 4, 4], [], [9], [4], [9], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [7], [9], [], [9], [], [9], [9], [], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4], [7], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [], [9], [4], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4]]
[[9], [8], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [7], [], [4, 4], [], [9], [], [9], [4], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9]]
[[9], [], [9], [9], [7], [9], [9], [], [8], [], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4]]
[[9], [4, 4], [9], [4], [9], [9], [9], [9], [7], [4, 4], [4, 4], [], [9], [9], [4, 4], [], [9], [9], [], [4, 4], [9], [7], [9], [4, 4], [8], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9]]
[[], [9], [9], [], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [7], [4, 4], [9], [7], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4], [4, 4], [], [9], [9], [9], [], [8], [4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [], [9], [], [9], [9], [4, 4], [7], [9], [9], [4, 4], [9], [4, 4], [], [], [9], [4], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [8], [9], [], [9], [9], [9], [9], [7], [9], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [279], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [186, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [140, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 7, 7, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 7, 7, 9, 9], [9, 9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 7, 7, 7], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 7, 7, 7], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 4, 9, 9], [7, 9, 9], [7, 9, 9], [7, 9, 9], [9, 9], [9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9], [9, 9], [7, 7, 7], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 9, 9], [4, 9, 9], [9, 9], [7, 7, 7]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [7, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [7, 7, 7], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [7], [9, 9], [], [9, 9], [7, 7], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7, 7], [4, 4, 4, 4], [9, 9], [7, 9], [], [9, 9]]
[[], [7, 7], [], [9, 9], [], [9, 9], [9, 9], [4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9]]
[[9], [9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [7, 9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [4, 9], [9], [7, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [7, 9], [9], [4, 9], [9], [9], [9], [7, 9], [9], [4, 9], [9], [4, 9], [4, 9], [7, 9], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4]]
[[9], [4, 9], [7, 9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [7, 9], [4, 9], [9], [9], [9], [7, 9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [7], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 7], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7, 7], [4, 9], [9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 7], [7], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [7], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [4, 7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [4, 4], [9], [7], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [9], []]
[[9], [9], [7], [], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [4, 4, 4], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 4, 4], [], [9], [9], [9], [7], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [7], [9], [], [9], [], [9], [9], [], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [4, 4], [7], [9], [7], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [], [9], [4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [7], [], [4, 4], [], [9], [], [9], [4], [4, 4], [7], [9], [4, 4], [9], [4, 4], [9], [9]]
[[9], [], [9], [9], [7], [7], [9], [], [9], [], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4]]
[[9], [4, 4], [9], [4], [9], [9], [9], [9], [7], [4, 4], [4, 4], [], [9], [9], [4, 4], [7], [9], [9], [], [4, 4], [], [7], [9], [4, 4], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9]]
[[], [9], [9], [], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [7], [4, 4], [9], [7], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4], [4, 4], [], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [7], [9]]
[[9], [9], [4, 4], [9], [], [9], [], [9], [9], [4, 4], [7], [9], [9], [4, 4], [9], [4, 4], [], [], [9], [4], [9], [9], [], [9], [9], [4, 4], [9], [9], [7], [9], [9], [], [9], [9], [9], [9], [7], [], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [278], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], []]
[[], [9, 9, 9], [], [9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [4, 4, 9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [], [], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [], [8, 8], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [8, 8], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [8, 8], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [4, 9], [8], [9], [4, 8]]
[[9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [8], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4], [9], [8], [4, 4, 4], [9], [], [], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 8], [9], [], [9], [4, 4, 4]]
[[], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [4, 4], [8], [], [9], [4, 4], [9], [9], [4, 4]]
[[9], [9], [9], [], [9], [9], [8], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [8], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [8], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9]]
[[], [9], [8], [4, 4], [9], [], [9], [4, 4], [], [4, 4], [9], [9], [], [9], [9], [8], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9]]
[[9], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [], [], [], [4, 4], [9], [], [8], [9], [9], [4, 4], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [9], [9], [], [4, 4], [9], [4, 4], [8], [], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9]]
-EndAllocation

Instance: [[1], [277], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[7], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 7, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 8, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], []]
[[], [9, 9, 9], [], [9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 7, 9], [4, 4, 9, 9], [8, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 7], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9]]
[[], [9, 9], [9, 9], [4, 7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [9]]
[[], [7], [], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9]]
[[], [4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [7], [9, 9], [9, 9], [], [9, 9], [9], [4, 4, 9], [9, 9], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [], [8], [], [9, 9], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [7, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [7, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9]]
[[9], [4, 4, 4, 4], [4, 9], [4, 9], [7, 9], [4, 9], [4, 4, 8], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [7, 9]]
[[9], [9], [9], [7], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 8]]
[[9], [9], [9], [9], [9], [4, 7], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [8], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [7], [9], [9]]
[[7], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [4, 4, 4], [7], [4, 4, 4], [9], [9], [4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 7], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [], [9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4], [9], [8], [4, 4, 4], [9], [], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 7], [9], [], [9], [4, 4, 4]]
[[], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [7], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [7], [9], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [9], [9], [], [9], [8], [9], [9], [9], [9], [9]]
[[], [8], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [7], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9]]
[[], [9], [8], [4, 4], [9], [], [9], [4, 4], [], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9]]
[[9], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [], [], [], [4, 4], [9], [], [9], [9], [9], [4, 4], [7], [], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [9], [9], [], [4, 4], [9], [4, 4], [9], [], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [7], [], [9], [9], [9]]
-EndAllocation

Instance: [[1], [276], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [184, 122, 92, 74, 61, 53, 46, 41, 37, 34, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [138, 92, 69, 56, 46, 40, 35, 31, 28, 26, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 6, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9]]
[[], [6, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9], [4, 4, 4, 4, 8], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 9, 9]]
[[], [6, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [9]]
[[], [9, 9, 9], [6], [], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [4, 4, 9, 9], [8, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9, 9]]
[[], [9, 9], [6, 8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [9]]
[[], [4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [6, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [6, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [], [6], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9]]
[[], [4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 9], [6, 9], [4, 4, 4, 4]]
[[], [4, 4, 4, 4], [9, 9], [], [8], [], [9, 9], [9, 9], [9, 9], [6, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [6, 9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [6, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [6, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 4, 8], [6, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [6, 8], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [8], [9], [9], [4, 9], [6], [4, 9], [9], [4, 9], [4, 9], [9]]
[[8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [6], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [6], [9], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [4, 4, 4], [9], [9], [9], [6], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [4, 4, 4], [6], [4, 4, 4], [9], [9], [4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [4], [9], [6], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 6], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [], [], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [6], [], [4, 8], [9], [], [9], [4, 4, 4]]
[[], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [6], [9], [9], [9], [8], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9]]
[[9], [9], [6], [], [9], [9], [9], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [8], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [6]]
[[6], [9], [8], [4, 4], [9], [], [9], [4, 4], [], [4, 4], [9], [], [], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9]]
[[9], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [], [], [4], [4, 4], [], [], [9], [9], [9], [4, 4], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 6]]
[[9], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [], [9], [9], [], [9], [9], [], [4, 4], [9], [4, 4], [9], [], [], [4, 4], [9], [4, 4], [9], [9], [6], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [9]]
-EndAllocation

Instance: [[1], [275], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [184, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [138, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 7, 8, 9, 9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9], [8, 9, 9, 9, 9, 9], [4, 7, 7, 9, 9, 9, 9]]
[[9, 9, 9], [7, 7, 9, 9], [9, 9, 9, 9, 9], [9, 9], [4, 4, 4, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [7, 7, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [], [7, 7, 9, 9], [9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [4, 7, 7, 9], [4, 4, 4, 4, 4, 4, 8], [9, 9, 9]]
[[], [9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4], [7, 7, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 7, 9], [8, 9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [4, 9, 9], [7, 7, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [8, 9], [9, 9], [9, 9], [4, 9], [], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [7, 7], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 8], [9], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [8, 9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9]]
[[], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [8], [], [9, 9], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [7, 9], [4, 4, 4, 4], [9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [9], [4, 9], [9], [4, 4, 4, 4], [9], [7, 9], [4, 9], [4, 9], [4, 9], [7, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [9], [8], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [7, 9], [7, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [7, 7], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [8]]
[[8], [9], [4, 9], [9], [4, 9], [9], [7, 7], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [7, 7], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 4, 4], [7]]
[[9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 9], [7], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [7], [7], [9], [9], [4, 8], [9], [4, 9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4]]
[[7], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[9], [9], [], [9], [4, 4, 4], [4, 4, 4], [7], [9], [9], [7], [9], [4, 4, 4], [9], [9], [4], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4]]
[[9], [4, 7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [], [7], [9], [9], [], [9], [9], [9], [4, 4, 4], [], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [7], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4], [], [7], [9], [9], [9]]
[[9], [9], [8], [7], [4, 4], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [7], [9], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4], [], [7], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [7], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [8], [9], [9], [4, 4], [9], [], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [], [], [7], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4], [7], [9], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [8], [9], [], [9], [], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [7], [9], [], [9], [], [], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9]]
[[9], [9], [9], [8], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [], [4, 4], [9], [], [9], [7], [], [4, 4], [], [9], [9], [4, 4], [4, 4], [7], [9], [9], [], [4, 4], [9]]
[[], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [], [9], [9], [4, 4], [4, 4], [8], [9], [9], [9], [7], [7]]
-EndAllocation

Instance: [[1], [274], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,40. UB Alg: [182, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [137, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 8], [9, 9, 9]]
[[], [9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 9], [], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 8], [9, 9], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9]]
[[], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [8], [], [9, 9], [], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [8]]
[[9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 8], [9], [4, 9], [4, 4, 4], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [4, 9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 8], [4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], []]
[[9], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4]]
[[9], [4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [], [9], [9], [9]]
[[9], [9], [9], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4], [], [], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9], [], [9], [], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4], [], [9], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [8], [9], [9], [4, 4], [9], [], [4], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [], [], [], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [4], [9], [9], [9], [8], [4, 4], [9], [9], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [8], [9], [], [], [], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4], [9], [], [], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [8], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [4], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [], [], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [], [4, 4], [9]]
[[], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [4], [4, 4], [], [], [], [9], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9]]
-EndAllocation

Instance: [[1], [287], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [192, 128, 96, 77, 64, 54, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [144, 96, 72, 58, 48, 41, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9, 9], [8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [8, 8, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 9], [], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 8, 8]]
[[], [9, 9], [9, 9], [4, 9, 9], [9, 9], [8, 8], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 9], [9, 9], [8, 8], [], [9, 9]]
[[], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [], [9], [9, 9], [], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9]]
[[9], [4, 4, 9], [4, 4, 9], [8, 9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [8, 8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [8, 8], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 8], [9], [9], [9], [9], [4, 8], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [9], [8], [9], [4, 8], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9]]
[[9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [9], [9], [9], [4, 9], [4, 8], [9], [9], [9]]
[[9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [8], [4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4]]
[[9], [9], [], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4], [8], [9], [9], [9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [], [4], [9], [4, 4, 4], [], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [8], [9], [9], [9], [9], [9], [9], [9], []]
[[], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [8], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], []]
[[9], [9], [4, 4], [9], [9], [], [4, 4], [9], [8], [9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9]]
[[9], [8], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [9], [9], [9], [], [], [9], [9], [], [4, 4], [], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [8], [], [9], [9], [4, 4], [], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [9], [9]]
[[9], [], [9], [9], [9], [8], [], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [9], [], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [9]]
[[9], [], [], [4, 4], [8], [4, 4], [9], [], [8], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [], [9], [], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], []]
-EndAllocation

Instance: [[1], [286], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [190, 128, 96, 77, 64, 54, 48, 42, 38, 34, 32, 29, 28, 26, 24, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [143, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8]]
[[], [], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [8, 8, 8, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [8, 8, 8], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 8, 8, 8], [9, 9, 9], [4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 8], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [8, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [], []]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [], [8, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4]]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [8, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [8, 8], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [8, 8], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9]]
[[8], [9], [4, 8], [4, 9], [4, 9], [9], [4, 9], [8], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [8], [8], [9], [4, 9], [9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 8], [9], [8], [4, 9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9], [8], [8], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [9], [], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9]]
[[9], [9], [], [4, 4, 4], [9], [9], [], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9]]
[[], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [4], [9], [9], [4, 4, 4], [9], [], [8], []]
[[9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [4, 4], [8], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [4, 4], [8], [9], [9], [9], [9], [9]]
[[], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [8], [9], [9], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [8], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [9], [8], [9], [9], [4, 4], [9], [8], [9], [4, 4], [4, 4], [], [4, 4], [4, 4], [], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [4, 4], [9], [9], [], [4, 4], [8], [9], [9], [9], [9], [9], [], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [8], [9], [4, 4], [9], [4, 4], [9], [], [9], [9]]
[[9], [9], [4, 4], [8], [9], [], [], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [8], [9], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9]]
[[9], [8], [9], [8], [9], [9], [4, 4], [], [9], [9], [], [9], [8], [4, 4], [9], [], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [], [], [4, 4], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [285], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [190, 126, 96, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [143, 95, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 7]]
[[], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [7, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [], [4, 4], [7, 9, 9]]
[[], [9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [7, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [4, 8, 8], [9], [4, 4, 4, 4, 4], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [], [], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9]]
[[9], [8, 9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 4, 9], [9], [9], [8, 9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 9], [7, 9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [7, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9]]
[[9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [9], [4, 7], [4, 9], [4, 9], [9], [9], [4, 9], [4, 8], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [4, 9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [7], [4, 9], [8], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [8], [9], [9], [4, 7], [8], [9], [9]]
[[9], [7], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [], [9], [9], [8], [9], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [4], [9], [9]]
[[9], [9], [9], [9], [8], [9], [9], [9], [], [4], [7], [], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[], [9], [8], [9], [9], [7], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [8], [4, 4, 4], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7], [9], [9], [], [9], [4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9], [8], [8], [9], [9], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [7], [9], [9], [9], [9], [4, 4], [], [], [], [9], [9], [8], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4]]
[[9], [9], [8], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [7], [], [], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [4, 4], [8], [9], [], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [7], [9], [9]]
[[9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [8], [9], [7], [8], [4, 4], [], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4]]
[[9], [8], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [], [8], [], [4, 4], [9], [9], []]
-EndAllocation

Instance: [[1], [284], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 6, 8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 8]]
[[], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [6, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [], [4, 4], [6, 9, 9]]
[[9], [6, 9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 6], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9], [9], [9, 9], [9, 9], [4, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [4, 8, 8], [9], [4, 4, 4, 4, 4], [6, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [], [6], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [6, 9], [9, 9], [8, 8], [9]]
[[9], [8, 9], [4, 4, 9], [6, 9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [9], [9], [6, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [8, 8], [6, 9], [4, 9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 9], [4, 4, 6], [9]]
[[9], [6, 8], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 9], [4, 9], [9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [6, 8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 6], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [6], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [9], [8]]
[[9], [8], [6], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [6], [9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [], [9], [9], [8], [9], [9], [9], [6], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [4], [9], [9]]
[[9], [9], [9], [9], [8], [9], [9], [9], [], [4], [9], [], [9], [4, 4, 4], [8], [9], [9], [9], [6], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[], [9], [8], [9], [9], [9], [9], [6], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [8], [4, 4, 4], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [6], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [6], [4, 4], [9], [8], [8], [9], [9], [9], [], [9], [9], [], [4, 4], [4, 4], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [], [9], [9], [8], [4, 4], [9], [8], [6], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4]]
[[9], [9], [8], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 6], [], [4, 4], [], [], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [4, 4], [8], [9], [], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [6], [9], [9], [9], [9], [4, 4], [], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [8], [9], [9], [8], [4, 4], [], [], [6], [], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4]]
[[9], [8], [4, 4], [9], [6], [9], [9], [9], [], [], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [], [8], [], [4, 4], [9], [9], []]
-EndAllocation

Instance: [[1], [283], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [6, 8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [6, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9], [6, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 8, 8, 8]]
[[], [6, 9, 9], [9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [8, 8, 8, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [6, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [6, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9]]
[[], [], [], [4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 6], [9, 9]]
[[9], [9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [6, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 8], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9], [], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [8, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9], [4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [6, 9], [4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [], []]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [], [8, 9], [8, 8], [9], [6, 9], [4, 4, 4, 4]]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 4, 4], [6, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [8, 9]]
[[9], [9], [6, 9], [4, 4, 9], [9], [4, 4, 4, 4], [4, 4, 9], [8, 9], [9], [8, 8], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [6, 9], [8, 8], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [6, 9], [4, 9], [8, 8], [4, 9], [4, 4, 4, 4], [4, 9], [4, 4, 8], [9], [4, 4, 4, 4], [9], [9], [9], [9], [9]]
[[8], [9], [4, 8], [4, 9], [4, 9], [9], [4, 9], [8], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [6], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [8], [8], [9], [4, 9], [9], [9], [8], [9], [4, 6], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 4, 6], [9], [9], [9], [9], [4, 8], [9], [8], [4, 9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [8], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9], [8], [8], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [6], [9], [9]]
[[8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8], [9], [6], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 9], [9]]
[[9], [4, 6], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [9], [], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [6], [], [9], [9], [9]]
[[9], [9], [], [4, 4, 4], [9], [9], [], [6], [4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9]]
[[], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [6], [], [9], [], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [6], [9], [9], [], [4], [9], [9], [4, 4, 4], [9], [], [8], []]
[[9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [4, 6], [8], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [8], [4, 4], [4, 4], [9], [9], [4, 4], [8], [9], [9], [9], [9], [4]]
[[], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [8], [9], [9], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [], [6], [9], [9], [9], [9], [9], [4, 4], [4, 4], [8], [9], [9]]
[[9], [4, 4], [8], [9], [9], [], [9], [9], [4], [8], [9], [9], [4, 4], [9], [8], [9], [4, 6], [4, 4], [], [4, 4], [4, 4], [], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [9]]
[[9], [8], [9], [9], [4, 4], [9], [9], [], [4, 4], [8], [9], [9], [9], [9], [9], [], [9], [], [9], [9], [], [4, 4], [4, 4], [6], [9], [], [4, 4], [9], [9], [4, 4], [8], [9], [4, 4], [9], [4, 4], [9], [], [9], [9]]
[[9], [9], [4, 4], [8], [9], [], [], [9], [9], [9], [9], [4, 4], [], [6], [], [9], [8], [9], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9]]
[[9], [8], [9], [8], [9], [9], [4, 4], [], [9], [9], [], [9], [8], [4, 4], [9], [6], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [], [], [4, 4], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [282], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4]]
[[], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [], [4, 4, 4], [9, 9, 9]]
[[9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [4, 8, 8], [4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [9], [], [], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9]]
[[9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9], [4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9]]
[[9], [4, 9], [9], [8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 9], [4, 9], [9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [8]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [4, 4, 4], [8], [9], [9]]
[[], [8], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4, 4], [], [9], [9], [8], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [4, 4], [9], [9]]
[[9], [9], [], [9], [8], [9], [9], [9], [], [4, 4], [9], [], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[], [9], [8], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [8], [4, 4, 4], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[8], [9], [4, 4, 4], [], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4], [], [4, 4], [9], [8], [8], [9], [9], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [], [9], [9], [8], [4, 4], [9], [8], [9], [9], [9], [4], [9], [4, 4], [4, 4], [4, 4]]
[[9], [9], [8], [9], [4, 4], [4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [8], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [4, 4], [], [], [9], [4, 4], [9], [9], [9]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [4, 4], [8], [4], [], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9]]
[[9], [4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [8], [9], [9], [8], [4, 4], [], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4]]
[[9], [8], [4, 4], [9], [4, 4], [9], [9], [9], [], [], [9], [4, 4], [9], [9], [], [4], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [], [8], [], [4, 4], [9], [9], []]
-EndAllocation

Instance: [[1], [281], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,41. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,41:
-StartAllocation
[[8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9]]
[[], [9, 9, 9], [7, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [], [4, 4, 4], [7, 9, 9]]
[[9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [7, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [9], [4, 4, 4, 4], [7, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [], [], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [7, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8], [9]]
[[9], [8, 9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 4, 9], [9], [9], [8, 9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [9], [4, 9], [7, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [7, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 7], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 9], [4, 9], [9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [7], [4, 9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 7], [8], [9], [9]]
[[], [7], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4, 4], [], [9], [9], [8], [9], [7], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [9], [], [4, 4], [7], [], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[], [9], [8], [9], [9], [7], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [], [4, 4, 4], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7], [9], [9], [], [9], [4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4], [], [4, 4], [9], [8], [9], [9], [9], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [7], [9], [9], [9], [9], [4, 4], [], [], [], [9], [9], [8], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4], [4, 4]]
[[9], [9], [8], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [7], [], [9], [9], [4, 4], [9], [9], [4]]
[[9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [8], [4], [], [9], [], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4], [], [7], [9], [9]]
[[9], [4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [7], [8], [4, 4], [], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4]]
[[9], [8], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [4], [9], [4, 4], [], [9], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [], [], [], [4, 4], [9], [9], []]
-EndAllocation

Instance: [[1], [294], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 9, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [7, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [], [9, 9, 9, 9], [8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7], [9, 9, 9], [9, 9, 9], [4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9]]
[[], [4, 4, 8, 8], [], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [4, 4, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 9], [4, 9, 9], [7, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [7, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [8, 8], [7, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [7, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [], [4, 4, 4, 4], [9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [7]]
[[], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [8, 8], [], [9, 9]]
[[9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [7, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [8, 8], [4, 9]]
[[9], [7, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [8], [4, 8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [7], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [8], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [7]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [8], [7], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [7], [9], [9], [8], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9], [7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 4, 4], [9], [9], [9], [9], [4, 9]]
[[7], [9], [9], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [8], [], [], [9], [], [4, 4, 4], [9], [9], [9], [4, 7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [7], [4], [9], [9], [9], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [8]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [8], [9], [4, 8], [9], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [8], [7], [], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[9], [4, 4], [], [], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [7], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [9], [4, 4], [4, 4], [9], [9], []]
[[9], [9], [4, 4], [4, 4], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [7], [9], [9], [9], [], [9], [9], [9], [], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9]]
[[9], [7], [], [], [9], [], [9], [4, 4], [9], [8], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9]]
[[], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [8], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [8], [4, 4], [], [7], [4, 4], [9], [], [9], [], [9], [9], [9]]
[[], [9], [9], [], [9], [9], [9], [9], [8], [9], [], [], [4, 4], [9], [4, 4], [7], [9], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [293], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [6, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [6, 8, 8, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [6], [9, 9, 9, 9], [9], [8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [6, 9, 9], [4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 8, 8], [], [6, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [6, 9, 9]]
[[], [4, 4, 4, 9], [9, 9], [6, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [6, 9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 6], [4, 8, 8], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [6, 9], [4, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [6, 9], [], [9, 9], [9, 9], [9], [9, 9], [9], [9, 9], [4, 9], [9, 9], [8, 8], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [6, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [6, 9], [], [], [8, 8], [], [9, 9]]
[[9], [6, 9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [4, 4, 9], [9], [6, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [6, 9], [4, 9], [4, 9], [4, 9], [9], [9], [8, 8], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [6, 9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 6], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [8], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [6], [4, 9], [9]]
[[9], [9], [6, 8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [8], [4, 9], [4, 9], [4, 4, 4], [9], [6], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [6]]
[[9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 4, 4], [9], [9], [9], [6], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [6], [8], [4, 4, 4], [9], [4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [8], [], [9], [9], [], [4, 4, 4], [9], [9], [9], [4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [6], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 6], [9], [9], [9], [9], [9], [8], [9], [9], [9], [], [9], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [8]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [8], [9], [4, 8], [9], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [6], [9], [4, 4, 4], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [8], [9], [], [9], [9], [9], [8], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [6], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[9], [4, 4], [], [], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [9], [4, 4], [4, 4], [6], [9], []]
[[9], [9], [4, 4], [4, 4], [8], [8], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [], [9], [6], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9]]
[[9], [9], [], [], [9], [], [9], [4, 4], [9], [8], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9], [6], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9]]
[[], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [8], [4, 4], [], [6], [9], [9], [9], [9], [4, 4], [9], [9], [8], [4, 4], [], [9], [4, 4], [9], [], [9], [], [9], [9], [9]]
[[], [9], [9], [], [9], [9], [9], [9], [9], [9], [], [], [4, 4], [9], [4, 4], [8], [9], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [], [9], [6], [9], [], [9], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [292], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [194, 130, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [146, 98, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 8], [6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[], [5, 5, 8, 8, 8, 8, 9], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7]]
[[], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 8, 9, 9, 9], [5, 5, 5, 5, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 8], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 8, 9], [8, 9, 9, 9, 9], []]
[[], [7, 7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 8], [5, 5, 5, 5, 5, 5, 5, 5], [7, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 9], [9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [9, 9, 9, 9], [7, 7, 7, 7, 7], [], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9]]
[[], [9], [9, 9, 9], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [8, 8, 8, 8], [9, 9, 9], [6, 9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 7, 7], [9, 9, 9]]
[[], [5, 5, 5, 5, 5, 5], [5, 6, 7, 7], [5, 5, 5, 5, 5, 5], [8, 8, 8], [8], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9]]
[[], [6, 6, 8, 8], [8, 9, 9], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [7, 7, 8], [], [5, 5, 5, 9], [9, 9, 9], [6, 6, 6, 6], [9], [9, 9, 9]]
[[], [5, 5, 5, 5, 5], [6, 6, 6, 6], [9, 9], [8, 8, 8], [9, 9], [7, 7, 7], [5, 5, 5, 7], [6, 6, 9], [7, 7, 8], [9, 9], [9, 9], [9, 9], [9, 9], [5, 5, 5, 5, 5]]
[[], [6, 9, 9], [5, 5, 5, 9], [8], [9, 9], [7, 7, 7], [9, 9], [8, 8, 8], [9, 9], [5, 5, 5, 5, 5], [6, 6, 6, 6], [9, 9], [7, 7, 7], [], [6, 9, 9], [5, 5, 5, 5, 5]]
[[], [9, 9], [9, 9], [9, 9], [9], [6, 6, 8], [5, 5, 5, 5], [8, 8, 8], [5, 5, 5, 5], [7, 7, 7], [9, 9], [6, 9, 9], [6, 6, 6], [7, 7, 7], [5], [5, 5, 5, 5], [9, 9]]
[[], [5, 8, 8], [5, 5, 5, 5], [9, 9], [7, 7, 7], [9, 9], [9], [8, 8], [], [5, 5, 5, 5], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6], [6, 6, 6], [9, 9], [9, 9], [5, 5, 5, 5]]
[[], [7, 7, 7], [9, 9], [5, 5, 5, 5], [8, 8], [5, 5, 5, 5], [], [], [7, 7, 7], [9, 9], [9, 9], [9, 9], [6, 6, 6], [6, 6, 6], [9, 9], [9, 9], [9], [5, 8, 8], [5, 5, 5, 5]]
[[], [9, 9], [9, 9], [5, 7, 7], [6, 6, 6], [7, 7], [9, 9], [5, 5, 5, 5], [8, 8], [5, 5, 5, 5], [8, 8], [6, 6, 6], [5, 5, 5, 5], [9], [9, 9], [9, 9], [], [7, 7], [9, 9], []]
[[], [5, 5, 5], [8, 8], [5, 5, 5], [7, 7], [9, 9], [7, 7], [9, 9], [8, 8], [9, 9], [6, 6, 6], [], [], [7, 7], [9, 9], [9, 9], [5, 9], [5, 5, 5], [5, 5, 5], [9, 9], [6, 6, 6]]
[[], [5, 5, 5], [6, 6, 6], [9, 9], [7, 7], [9, 9], [], [9, 9], [], [9], [6, 6, 6], [5, 5, 5], [8, 8], [9, 9], [9, 9], [7, 7], [5, 5, 5], [5], [7, 7], [8, 8], [9, 9], [5, 5, 5]]
[[9], [9], [5, 9], [9], [5, 5, 5], [9], [5, 5, 5], [6, 6], [8, 9], [8, 9], [5, 5, 5], [6, 6], [9], [8, 8], [9], [9], [7, 7], [5, 9], [7, 7], [7, 7], [5, 9], [5, 9], [6, 6]]
[[9], [5, 5, 5], [5, 5, 5], [7, 7], [9], [9], [5, 5, 5], [5, 5, 5], [8, 8], [9], [8, 9], [7, 7], [6, 6], [9], [6, 6], [5, 9], [8, 9], [9], [7, 7], [9], [9], [9], [9], [6, 6]]
[[9], [8, 8], [9], [9], [9], [5, 5, 5], [5, 5, 5], [8, 8], [5, 5, 5], [6, 6], [6, 6], [9], [9], [5, 5, 5], [9], [6, 6], [7, 7], [9], [7, 7], [9], [9], [7, 7], [5, 9], [9], [9]]
[[9], [9], [7, 9], [], [9], [5, 9], [], [6, 6], [5, 5, 5], [9], [9], [7, 7], [9], [9], [9], [5, 5, 5], [5, 5, 5], [7, 9], [5, 5, 5], [6, 6], [7, 7], [9], [8, 8], [8, 8], [6, 6], [9]]
[[9], [9], [8], [8], [5, 8], [5, 5], [9], [5, 9], [5, 5], [8], [9], [5, 5], [5, 9], [5, 5], [9], [9], [5, 9], [6, 6], [9], [7, 7], [6, 6], [9], [7, 7], [5, 9], [7, 7], [6, 6], [9]]
[[9], [5, 5], [9], [6, 6], [7, 7], [9], [9], [5, 5], [9], [9], [5, 5], [9], [9], [6, 6], [9], [5, 9], [9], [5, 8], [5, 5], [9], [8], [5, 9], [7, 7], [8], [5, 5], [7, 7], [8], [6, 6]]
[[9], [5, 5], [5, 5], [5, 5], [9], [9], [7, 7], [9], [9], [5, 5], [5, 8], [8], [5, 5], [9], [9], [8], [8], [6, 6], [9], [7, 7], [9], [9], [6, 6], [5, 5], [6, 6], [9], [9], [9], [7, 7]]
[[9], [5, 8], [5, 5], [6, 6], [9], [5, 5], [9], [5, 5], [7], [9], [5, 5], [9], [8], [5, 5], [9], [7], [8], [9], [9], [9], [6, 6], [5, 7], [9], [9], [9], [8], [6, 7], [6, 7], [9], [5, 7]]
[[7], [9], [7], [9], [9], [9], [9], [9], [5, 5], [6, 6], [9], [5, 5], [7], [9], [5, 5], [8], [5, 7], [8], [9], [6, 6], [7], [6, 6], [9], [5, 8], [5, 5], [9], [9], [5, 5], [7], [9], [5, 8]]
[[7], [5, 8], [9], [9], [8], [6, 6], [6, 7], [], [9], [5, 5], [6, 7], [9], [5, 5], [8], [8], [9], [9], [7], [7], [9], [5, 7], [9], [5, 5], [5], [9], [5, 5], [9], [9], [6, 6], [9], [5, 5], [9]]
[[9], [8], [5, 5], [5, 5], [9], [9], [8], [7], [9], [7], [9], [9], [9], [5], [5, 5], [9], [9], [5, 5], [5, 5], [9], [8], [6, 6], [5, 5], [7], [9], [6, 6], [7], [7], [6, 6], [8], [9], [7], [9]]
[[9], [5, 5], [8], [], [8], [9], [9], [9], [9], [5, 7], [9], [9], [5, 5], [7], [8], [9], [7], [7], [9], [7], [9], [6, 6], [5, 5], [9], [6, 6], [8], [5, 5], [7], [5, 5], [5, 5], [6, 6], [9], [9], []]
[[], [6, 6], [5, 5], [9], [6, 6], [5, 5], [7], [6, 6], [9], [9], [8], [9], [], [9], [9], [5, 5], [5, 7], [7], [9], [5, 5], [5, 7], [], [8], [9], [9], [5, 5], [8], [9], [7], [8], [9], [], [5, 7], [9], [9]]
[[], [7], [6, 6], [5, 5], [7], [9], [9], [6, 6], [9], [9], [9], [5, 5], [9], [7], [8], [9], [9], [9], [7], [9], [7], [9], [5, 5], [7], [8], [5, 5], [9], [9], [5, 5], [8], [5, 5], [8], [], [], [5], [6, 6]]
[[9], [9], [], [5, 5], [6], [5, 5], [9], [5, 5], [9], [6], [6], [8], [7], [6], [9], [9], [8], [9], [5, 5], [7], [9], [9], [7], [9], [8], [7], [5, 5], [9], [6], [9], [5, 5], [8], [9], [6], [7], [5], [7]]
[[9], [6], [5, 5], [8], [9], [6], [5], [9], [7], [9], [8], [8], [9], [7], [9], [6], [9], [5, 5], [9], [9], [], [9], [7], [9], [9], [8], [6], [5, 5], [], [6], [7], [7], [5, 5], [6], [9], [7], [5, 5], [5, 5]]
[[8], [9], [9], [9], [5, 5], [7], [], [7], [9], [5, 5], [9], [9], [7], [6], [9], [9], [6], [5, 5], [6], [8], [6], [8], [7], [6], [9], [8], [5], [9], [9], [9], [6], [5, 5], [9], [7], [7], [5, 5], [], [5, 5], []]
[[], [7], [8], [9], [6], [5, 5], [5, 5], [5, 5], [7], [7], [6], [5, 5], [5, 5], [6], [9], [8], [7], [9], [6], [], [9], [9], [7], [9], [6], [5, 5], [9], [], [8], [], [9], [9], [8], [7], [9], [9], [5], [9], [6], [9]]
[[6], [], [9], [], [6], [5], [9], [9], [7], [7], [9], [9], [6], [5, 5], [5, 5], [6], [6], [9], [7], [9], [5, 5], [8], [9], [8], [9], [], [8], [9], [9], [7], [6], [], [], [9], [8], [5, 5], [7], [5, 5], [7], [9], [5, 5]]
[[5], [9], [9], [9], [7], [9], [7], [7], [6], [6], [5], [5], [5], [9], [9], [5], [8], [9], [8], [8], [6], [9], [5], [9], [9], [6], [9], [5], [6], [5], [5], [5], [8], [9], [9], [6], [5], [5], [7], [5], [7], [7]]
-EndAllocation

Instance: [[1], [291], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [194, 129, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [146, 97, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9]]
[[], [4, 4, 4, 8, 8], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [4, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [4, 9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4], [4, 4, 4, 4], [9], [4, 4, 4, 4], [8, 8], [4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [8, 8], [4], [9, 9]]
[[9], [4, 4, 9], [9], [8, 9], [4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [8, 8], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [8], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[9], [9], [], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [4, 4, 4], [9], [9], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [4, 4, 4], [9], [4, 4], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [8], [9], [9], [9], [9], [8], [], [], [9], [], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4], [9], [], [9], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [8]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [8], [9], [4, 8], [9], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4], [4, 4, 4], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [8], [9], [], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [], [9], [4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[9], [4, 4], [], [], [4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [9], [4, 4], [4, 4], [9], [9], []]
[[9], [9], [4, 4], [4, 4], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [4], [], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9]]
[[9], [9], [], [], [9], [], [9], [4, 4], [9], [8], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4], [9], [9]]
[[], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [8], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [4], [9], [8], [4, 4], [], [9], [4, 4], [9], [], [9], [], [9], [9], [9]]
[[], [4], [9], [], [9], [9], [9], [9], [9], [9], [], [], [4, 4], [9], [4, 4], [8], [9], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [], [9]]
-EndAllocation

Instance: [[1], [290], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9], [4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [7, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 7, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 7, 9, 9, 9, 9], [], [4, 9, 9, 9, 9, 9]]
[[], [9], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9], [9, 9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 7, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9], [7, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9], [9, 9, 9], [9, 9, 9], [], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [7], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9]]
[[], [4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [4, 9, 9]]
[[], [9, 9], [], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [9, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 9], [9, 9], [4, 9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 7, 9], [4, 9], [9, 9], [], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 8], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [], [4], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [8, 9]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [8, 9], [9, 9], [4, 4, 4, 4], [4, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [7, 9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [7, 8]]
[[9], [9], [4, 9], [9], [7], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [9], [8], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [4, 7], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 8], [9], [9], [9], [7], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [7], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [4, 7], [], [9], [9], [9], [9], [9], [9], [9], [8], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [9], [4, 7], [4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], []]
[[9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 7], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [4, 4, 4], [9], [4]]
[[9], [9], [9], [4], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 7], [], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], []]
[[], [9], [4, 4], [9], [4, 4], [7], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [8], [9], [9], [4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4]]
[[9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [7], [9], [4], [], [9], [9], [9], [4, 4]]
[[9], [9], [7], [], [9], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [], [8], [], [9], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [4], [9], [9], [9], [9]]
[[], [7], [8], [4, 4], [9], [], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9]]
[[9], [4, 4], [], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4], [9], [7], [], [9], [9], [9], [], [], [4, 4], [], [9], [9], [9], [9], [4, 4], [8]]
[[9], [], [9], [], [9], [9], [], [], [], [4, 4], [9], [9], [8], [9], [9], [9], [9], [4], [9], [9], [4, 4], [], [], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [4, 4], [9], [7], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [289], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9], [3, 3, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 7, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8]]
[[], [3, 3, 3, 3, 3, 7, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9], [9, 9, 9, 9], [3, 3, 3, 3, 3, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [7, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 7], [9, 9, 9, 9], [], [9, 9]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [7, 9, 9], [], [4, 4, 4, 8, 8], [4, 9, 9, 9], [4, 9, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 7], [], [9, 9, 9], [9, 9], [4, 4, 4, 9, 9], [3, 3, 3, 3, 3, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [3, 3, 3, 3, 3, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [8, 8, 9], [9, 9, 9], [], [9, 9, 9]]
[[], [9, 9], [3, 3, 3, 3, 3, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [9, 9], [8, 8, 9], [9, 9]]
[[], [9, 9], [9], [3, 3, 3, 3, 3, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [3, 3, 3, 3, 3], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 8], [4, 9, 9], [4, 4, 4, 4, 4], [9, 9], [3, 3, 3, 3, 3], [9, 9], [9, 9], [], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 7], [], [3, 3, 3, 3, 3], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9]]
[[], [9, 9], [8, 8], [3, 3, 3, 3, 3], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 9], [7, 9], [9, 9], [9, 9]]
[[], [4, 4, 4], [], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [3, 3, 3, 3, 3], [8, 8], [9, 9], [9, 9], [7, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [], [4, 4, 4, 4], [9, 9], [3, 3, 3, 3, 3], [9, 9], [9, 9], [], [4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [8, 8], []]
[[9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [3, 3, 9], [9], [4, 4, 9], [8, 9], [9], [3, 4, 9], [3, 3, 9], [7, 9], [8, 9], [9]]
[[9], [9], [3, 3, 9], [7, 9], [9], [9], [4, 9], [4, 4, 9], [9], [4, 4, 9], [3, 9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [9], [8, 9], [3, 3, 9], [9], [9], [4, 4, 4, 4], [9]]
[[9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [9], [3, 3, 3, 3, 3], [9]]
[[9], [4, 9], [3, 3, 3, 3, 3], [9], [9], [4, 9], [9], [9], [4, 9], [7, 9], [4, 9], [9], [8, 8], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 7], [8], [3, 9], [4, 9], [3, 3, 3, 3], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 8]]
[[9], [9], [8], [4, 9], [9], [4, 9], [9], [9], [3, 3, 7], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [3, 9], [9], [9], [9], [4, 8], [4, 9], [9], [4, 9], [3, 3]]
[[8], [9], [4, 4, 4], [3, 3, 3, 3], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 9], [9], [9], [9], [9], [7], [3, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [3, 9], [9], [9], [8], [9], [7], [3, 3, 3, 3], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [3, 3, 3, 3], [4, 4, 4], [9], [4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [3, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [8]]
[[8], [9], [9], [9], [9], [], [8], [3, 9], [9], [9], [9], [4, 9], [], [9], [9], [9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [9], [9], [4, 9]]
[[9], [4, 4], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [8], [9], [4, 4, 4], [3, 9], [9], [9], [], [9], [9], [9], [9], [9], [3, 3, 3, 3], [9], [7], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [8], [9], [], [9], [9], [3, 3, 3, 3], [9], [9], [7], [4, 4], [], [9], [9], [4, 4, 4], [3, 9], [4, 4, 4], [9], [9]]
[[8], [9], [9], [7], [9], [9], [9], [], [9], [9], [4, 4, 4], [4, 4], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [3, 8], [9], [9], [9], [9], [3, 3, 3, 3], [9], [9], [9], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 4, 4], [3, 3, 3, 3], [8], [9], [9], [9], [4], [3], [9], [9], [9], [7], [9], [4, 4, 4], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [], [], [9]]
[[9], [4, 4], [9], [], [], [7], [4], [9], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [9], [3, 3], [3, 3, 3], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [3, 3], [9], [9], [], [4, 4], [9], [9], [8], [4], [4, 4], [], [9], [9], [8], [9], [3, 3, 3], [9], [7], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], []]
[[9], [9], [9], [8], [9], [], [9], [9], [], [3, 3], [7], [9], [9], [9], [3, 3, 3], [4], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [8], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9]]
[[], [9], [9], [9], [3, 3, 3], [9], [], [7], [9], [], [3, 3], [4], [4, 4], [4, 4], [9], [9], [4, 4], [], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], [4, 4], [8]]
[[], [9], [4], [4, 4], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [7], [9], [4, 4], [3, 3, 3], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [3, 3], [9], [], [], [8], [9], [9], [9], [8], [9], [9]]
[[9], [4], [9], [9], [9], [9], [9], [9], [3, 3, 3], [9], [9], [8], [9], [], [4, 4], [], [9], [], [4, 4], [9], [9], [9], [], [4, 4], [7], [], [], [9], [9], [], [9], [4, 4], [], [9], [3, 3], [9], [9], [9], [9], [9], [4, 4], [8]]
-EndAllocation

Instance: [[1], [288], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,42. UB Alg: [192, 128, 96, 77, 64, 56, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [144, 96, 72, 58, 48, 42, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9], [6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[], [8, 8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6, 6, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 9, 9], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 6, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9]]
[[], [9, 9, 9, 9, 9], [8, 8, 8, 8, 9], [5, 5, 5, 5, 5, 5, 5, 6, 6], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 8, 8, 8, 8], [5, 9, 9, 9, 9], [5, 9, 9, 9, 9], [6, 9, 9, 9, 9], [5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 8], [6, 6, 9, 9], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8]]
[[], [8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [], [9, 9, 9, 9], [6, 6, 9, 9], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [9, 9], [9, 9, 9], [5, 5, 5, 5, 5, 5], [9, 9, 9], [5, 9, 9, 9], [5, 9, 9, 9], [5, 5, 5, 5, 5, 5], [6, 6, 9, 9], [8, 8, 8, 8], [], [5, 5, 5, 5, 5, 5]]
[[], [5, 8, 8, 8], [9, 9, 9], [5], [5, 5, 5, 5, 5, 5], [9, 9, 9], [], [9, 9, 9], [6, 6, 9, 9], [8, 9, 9], [9, 9, 9], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [9, 9, 9], [9], [9, 9, 9], [5, 5, 5, 5, 5], [8, 8, 8], [9, 9, 9], [6, 6, 8], [5, 5, 5, 5, 5], [9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], []]
[[], [9, 9], [6, 9, 9], [5, 5, 5, 5, 5], [9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 6], [9, 9], [5, 5, 5, 5, 5], [5], [9, 9], [9, 9], [8, 8, 8], [8, 9, 9], [9, 9]]
[[], [5, 5, 5, 5], [9, 9], [5, 5, 5, 9], [8, 9], [5, 9, 9], [9, 9], [5, 5, 5, 5], [5, 5, 5, 5], [8, 8, 8], [9, 9], [5, 5, 5, 5], [9], [6, 6, 9], [9, 9], [9, 9]]
[[], [8, 8], [9], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [6, 6, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [5, 5, 5, 5], [9, 9]]
[[], [5, 5, 5, 5], [5, 8, 8], [], [5, 8, 8], [9, 9], [5, 5, 9], [9, 9], [5, 5, 5, 5], [9, 9], [9, 9], [9, 9], [], [5, 5, 5, 5], [9, 9], [9, 9], [5, 5, 5, 5], [6, 6, 9]]
[[], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [5, 5, 5], [], [9, 9], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [], [6, 6, 9], [5, 5, 5, 5], [5, 8, 8], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 8], [5, 5, 5, 5], [6, 6], [5, 5, 5, 5], [5, 5, 5, 5], [8, 8], [9, 9], [5, 5, 5, 5], [5, 5, 5, 5], [], [9, 9], [9, 9], [9, 9], [], [9, 9], []]
[[], [5, 5, 5], [9, 9], [9, 9], [], [6, 6], [9, 9], [9, 9], [9, 9], [9, 9], [5, 5], [9, 9], [5, 5, 5], [], [5, 5, 5], [5, 5, 5], [5, 5, 5], [8, 8], [9, 9], [5, 5, 5], [8, 8]]
[[], [], [8, 8], [], [9, 9], [9, 9], [5], [9, 9], [5, 5, 5], [5, 5, 5], [9, 9], [5, 5, 5], [9, 9], [9, 9], [], [9, 9], [5, 6, 6], [5, 5, 5], [9, 9], [5, 5, 5], [8, 8], [5, 5, 5]]
[[9], [9], [9], [9], [5, 9], [6, 6], [5, 9], [5, 5, 5], [5, 9], [5, 9], [5, 5, 5], [5, 5, 5], [5, 9], [9], [5, 5, 5], [5, 9], [8, 8], [8, 8], [9], [9], [5, 9], [5, 9], [9]]
[[9], [9], [9], [5, 5, 5], [5, 9], [9], [5, 5, 5], [8, 8], [9], [9], [5, 9], [5, 9], [5, 5, 5], [9], [5, 5, 5], [5, 9], [8, 8], [5, 5, 5], [9], [6, 6], [9], [9], [9], [5, 9]]
[[9], [8, 8], [9], [9], [9], [5, 5, 5], [5, 5, 5], [9], [5, 5, 5], [5, 5, 5], [5, 9], [9], [9], [9], [9], [8, 8], [9], [9], [5, 5, 5], [5, 9], [5, 5, 5], [6, 6], [9], [9], [9]]
[[], [8, 8], [5, 9], [5, 9], [], [9], [5, 9], [9], [9], [5, 5, 5], [5, 9], [5, 9], [5, 5, 5], [5, 9], [5, 5, 5], [9], [5, 5, 5], [], [8, 8], [9], [9], [6, 6], [5, 9], [9], [5, 9], [9]]
[[9], [5, 5], [5, 8], [5, 8], [5, 5], [9], [8], [9], [5, 9], [9], [9], [9], [9], [9], [5, 9], [9], [5, 5], [5, 9], [5, 5], [5, 9], [6, 6], [5, 9], [5, 5], [9], [8], [5, 9], [5, 5]]
[[9], [9], [8], [5, 5], [5, 9], [5, 8], [5, 5], [9], [9], [9], [5, 8], [9], [5, 5], [9], [9], [5, 5], [9], [5, 9], [9], [5, 9], [5, 5], [5, 5], [5, 5], [5, 9], [9], [9], [6, 6], [8]]
[[9], [5, 8], [5, 5], [9], [9], [9], [5, 5], [9], [5, 5], [5, 5], [9], [9], [5, 5], [9], [9], [9], [6, 6], [5, 8], [5, 5], [9], [5, 8], [9], [9], [5, 5], [9], [9], [9], [5, 5], [5, 8]]
[[9], [5, 5], [9], [5, 5], [5, 5], [6, 6], [5, 5], [9], [9], [9], [5, 5], [9], [5, 5], [8], [9], [9], [9], [9], [9], [5, 8], [5, 5], [9], [9], [5, 8], [9], [9], [5, 5], [8], [5, 5], [9]]
[[9], [9], [9], [5, 5], [8], [5, 5], [9], [9], [9], [9], [9], [9], [5, 5], [5, 5], [6, 6], [5, 5], [5, 5], [5, 5], [9], [9], [9], [9], [8], [], [9], [5, 5], [5, 5], [5, 8], [5, 8], [9], [9]]
[[9], [5, 5], [9], [9], [5, 5], [], [9], [6, 6], [9], [8], [5, 5], [5, 5], [9], [8], [9], [9], [8], [9], [5, 5], [5, 5], [9], [5, 5], [9], [5, 5], [9], [5, 5], [9], [9], [9], [5, 5], [9], [8]]
[[9], [9], [5, 5], [5, 5], [5, 5], [9], [8], [9], [8], [6, 6], [5, 5], [5, 5], [9], [], [5, 5], [5, 5], [5, 5], [5, 5], [9], [9], [9], [9], [8], [9], [9], [5, 5], [], [9], [9], [9], [8], [9], [9]]
[[9], [6, 6], [5, 5], [9], [9], [5, 5], [9], [9], [9], [5, 5], [5, 5], [9], [5, 5], [9], [5, 5], [8], [5, 5], [5, 5], [9], [], [9], [], [9], [9], [9], [8], [8], [9], [], [5, 5], [5, 5], [8], [9], [9]]
[[9], [9], [5, 5], [9], [9], [9], [8], [5, 5], [], [9], [5, 5], [9], [5, 5], [9], [9], [9], [], [5, 5], [9], [5, 5], [9], [6, 6], [8], [8], [8], [5, 5], [], [9], [9], [5, 5], [9], [9], [5, 5], [5, 5], []]
[[9], [9], [], [], [8], [9], [9], [5, 5], [9], [9], [5, 5], [9], [5, 5], [5, 5], [5, 5], [9], [5, 5], [], [9], [5, 5], [9], [8], [9], [9], [], [8], [9], [9], [5, 5], [9], [9], [5, 5], [5, 5], [6], [6], [8]]
[[], [9], [9], [9], [6], [9], [9], [5, 5], [9], [9], [5, 5], [9], [5, 5], [], [9], [5, 5], [8], [8], [], [9], [9], [8], [9], [8], [9], [], [5, 5], [5, 5], [9], [5, 5], [5, 5], [5, 5], [9], [6], [9], [5, 5], []]
[[9], [9], [5, 5], [5, 5], [8], [], [], [9], [], [9], [5, 5], [8], [9], [6], [9], [5, 5], [8], [5, 5], [9], [9], [], [9], [9], [9], [8], [], [9], [9], [5, 5], [5, 5], [5, 5], [9], [], [5, 5], [5, 5], [9], [9], [6]]
[[], [5, 5], [9], [9], [9], [9], [9], [], [8], [9], [8], [], [5, 5], [9], [9], [8], [6], [8], [9], [5, 5], [9], [9], [5, 5], [6], [5, 5], [5, 5], [9], [], [9], [], [9], [5, 5], [], [9], [9], [5, 5], [5, 5], [], [5, 5]]
[[], [6], [9], [5, 5], [], [9], [5, 5], [5, 5], [9], [], [5, 5], [5, 5], [9], [5, 5], [8], [], [9], [6], [9], [], [5, 5], [], [9], [5, 5], [8], [8], [], [9], [], [5, 5], [8], [9], [9], [9], [9], [9], [9], [9], [5, 5], [9]]
[[], [9], [5, 5], [5, 5], [9], [9], [9], [], [5, 5], [9], [], [9], [5, 5], [], [9], [8], [9], [], [5, 5], [], [], [9], [9], [9], [5, 5], [5, 5], [5, 5], [], [8], [9], [9], [9], [9], [8], [5, 5], [6], [8], [], [6], [5, 5], [9]]
[[5], [5], [5], [9], [8], [5], [5], [5], [9], [6], [5], [9], [5], [8], [5], [5], [9], [5], [5], [5], [5], [9], [9], [9], [9], [9], [8], [9], [5], [9], [9], [9], [5], [9], [5], [5], [8], [9], [6], [9], [5], [5]]
-EndAllocation

Instance: [[1], [301], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [201, 134, 101, 81, 68, 57, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [151, 101, 76, 61, 51, 43, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [5, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [5, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [5, 8, 8, 9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [5, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [9], [9, 9, 9, 9, 9]]
[[], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9]]
[[], [9], [9, 9, 9], [5, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [5, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 9, 9, 9], [9, 9, 9], [4], [9, 9, 9], [5, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [5, 9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 5, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9], [4], [9, 9, 9], [4, 5, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9], [5, 9, 9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [5, 9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [5, 9]]
[[], [9, 9], [9, 9], [9, 9], [5, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [], [4, 4, 4, 4, 4], [9, 9], [8, 8]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [5, 9], [], [9, 9], [4], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [], [9, 9], [9, 9], [9, 9], [9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [5], [4]]
[[], [4, 4, 4, 4], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4], [8, 8], [], [9, 9], [9, 9], [9, 9], [4, 5, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], []]
[[], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 9], [9, 9], [4, 4, 4, 5], [], []]
[[9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [5, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [5, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 8], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [5, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [5, 9], [9], [4, 4, 4, 4], [8, 8], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 8], [5, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [8]]
[[9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [5, 9], [8], [9], [9], [9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [5, 8], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 5], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [8], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 8], [4, 4, 4], [4, 4, 4], [9], [9], [5], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9]]
[[8], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [5], [9], [9], [9], [], [9], [9], [9]]
[[9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [4, 5], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [5], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [], [], [9], [], [9]]
[[], [9], [4, 4, 4], [], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [8], [9], [9], [4, 4, 4], [9], [9], [9], [5], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [], [9], [4], [9], [], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [5], [8]]
[[9], [9], [4, 4], [9], [9], [9], [], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [8], [9], [9], [4, 4], [5], [8], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
[[9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [4, 4], [], [4, 4], [9], [5], [9], [], [9], [9], [9], [9], [9], [9], [9], [], []]
[[], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [8], [9], [], [], [9], [], [9], [9], [9], [5], [9], [], [9]]
[[9], [9], [9], [9], [8], [4], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [], [], [9], [9], [4, 4], [4, 4], [], [], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 5], [9], [9], [9], [9], [9], [9], [8], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [5], [9], [8], [9], [9], [9], [9], [4, 4], [9], [9], [], [], [], [9], [9], [4, 4], [], [], [9], [8], [9], [9], [9], [9], [4, 4], [], [9]]
[[9], [], [9], [4, 4], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [5], [9], [4, 4], [9], [9], [], [], [4, 4], [8], [], [4, 4], [9], [9], [9], [], [4, 4], [9], [], [9], [9], [], [4, 4], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [300], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 32, 29, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 24, 22, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [4, 8, 8, 9], [4, 9, 9, 9], [], [], [4, 4, 9, 9], [4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8, 8], [9, 9], [4, 4, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9]]
[[], [8, 8], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9], [], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [], [4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [4, 4, 4, 4], [], [8, 8]]
[[], [], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9]]
[[9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [8, 8]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [8, 8], [4, 4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [9], [9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 8], [9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [9], [4, 9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [8]]
[[9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [4, 9], [9], [9], [8], [9], [9], [9], []]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [8], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [9], [4, 8], [9], [], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4], [9], [9], [9], [], [9], [9], [8], [], [9], [9], [9], [9], [9], [9], [], [9]]
[[8], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [9], [9], []]
[[9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4], [], [9], [4, 4, 4], [], [9], [8], [], [9], [9], [9], [9], [9], [4, 8], [9]]
[[9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [8], [4, 4], [4], [9], [9], [9], [8], [], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4]]
[[8], [9], [], [4, 4], [9], [4, 4], [4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [], [9], [9], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4]]
[[9], [4, 4], [4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [], [], [9], [], [9], [], [9], [9], [4, 4], [8], []]
[[9], [], [4, 4], [], [4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [8], [], [], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], []]
[[9], [9], [4, 4], [4, 4], [], [], [8], [8], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [4], [], [4, 4], [4, 4], [9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [8], [], [9], [], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [299], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7], [4, 8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7], [4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 7, 7, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 7, 7, 7], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 7], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4], [8, 8, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 7, 9], [4, 4, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 8, 8, 9], [9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [7, 7, 7, 8], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 9], [4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [7, 7, 7], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 9], [4, 4, 4, 4, 9], [9, 9], [4, 9, 9], [4, 9, 9], [4, 9, 9], [9, 9], [7, 7, 7], [8, 8, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [4, 9], [7, 7, 9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [4, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [8, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7, 7, 7], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4], [8, 8], [9, 9], [7, 7, 7]]
[[], [4, 7, 7], [9, 9], [9], [9, 9], [9], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7]]
[[], [4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4], [7], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], []]
[[], [], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7, 7], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 9], [9], [4, 4, 9], [4, 9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [7, 9], [9], [7, 7]]
[[9], [9], [7, 7], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [8, 8], [9], [4, 4, 9], [4, 4, 9], [7, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [7, 9], [9], [9], [7, 9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [8, 8], [9], [9], [9], [7, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [7, 7], [9], [8, 8], [9], [4, 9], [4, 4, 4, 4], [7, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [8, 8], [7, 9], [9], [4, 9], [7, 7], [9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9]]
[[8], [9], [9], [9], [4, 9], [4, 4, 4], [8], [9], [4, 9], [4, 7], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 7], [4, 9]]
[[9], [4, 4, 4], [9], [7, 7], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [7], [4, 9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [], [8], [4, 4, 4], [4, 9], [9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [8], [9], [7], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 7], [4, 9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 7]]
[[9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [8], [7], [4, 9], [9], [9], [9], [4, 9], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [7], [9]]
[[9], [4, 4, 4], [8], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [7], [4, 9], [7], [4, 4, 4], [9], [4, 9], [9], [9], [], [9], [9], [7], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 9], [], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4], [9], [7], [4, 4, 4], [9], [7]]
[[9], [4, 4, 4], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4], [7], [9], [9], [4], [7], [9], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [7], [8], [4, 4, 4], [9], [9], [9]]
[[8], [4, 7], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [9], [9], [9], [7], [4, 4], [9], [4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [7], [9], [9], [9], [9], [9], [9], [7], [4], [9], [4, 4, 4], [9], [9], [8], [], [8], [9], [9], [4], [9], [9], [9], [], [9], [4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 7]]
[[9], [9], [9], [4, 4], [4, 4, 4], [], [9], [8], [9], [8], [9], [], [4, 7], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [7], [9], [9], [], [4], [9], [9], [4, 4, 4]]
[[8], [9], [9], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [7], [9], [4], [7], [9], [9], [9], [7], [9], [4, 4], []]
[[9], [9], [4, 4], [9], [9], [], [9], [9], [7], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [7], [9], [], [9], [9], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [9], [9], [9], [7], [4, 4], [9], [], [9], [4, 4]]
[[9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4], [7], [9], [4, 4], [9], [9], [4, 4], [9], [4], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [8], [9], [4, 4], [], [4, 4], [7], [], [8]]
[[9], [9], [7], [9], [9], [8], [4, 4], [], [4, 4], [9], [9], [9], [7], [9], [], [9], [4, 4], [9], [7], [4], [9], [8], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4], []]
[[9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [9], [7], [4, 4], [9], [9], [4], [7], [9], [4, 4], [9], [], [9], [9], [7], [], [9], [], [4, 4], [9], [4, 4], [9], [4], [9], [9], [], [4, 4], [9], [9], [], [9], [8], [9], [8]]
[[9], [9], [9], [], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [7], [9], [9], [8], [], [9], [4, 4], [7], [7], [4, 4], [], [9], [], [9], [9], [], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [298], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [198, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [149, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9], []]
[[], [8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [7, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4], [9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9], [7]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [], [4, 9, 9, 9]]
[[], [4, 4, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [4, 7, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [9, 9, 9], [4, 4]]
[[], [], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 9], [4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [8, 8, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [7, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4], [8, 8], [9, 9], [7, 9]]
[[], [4, 7, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], []]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4], [], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7], [9]]
[[], [], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9], [7, 9]]
[[9], [9], [7, 9], [4, 4, 9], [9], [4, 9], [9], [9], [9], [8, 8], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [7, 9], [4, 9], [9], [9], [8, 8], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [4, 9], [7, 9], [9], [8, 8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [8, 8], [9], [9], [4, 9], [7, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [9], [9]]
[[8], [9], [9], [9], [4, 9], [4, 9], [4, 8], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7], [4, 4, 4]]
[[9], [4, 4, 4], [9], [4, 7], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [8], [4, 4, 4], [4, 9], [9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 7]]
[[9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [7], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [7], [8], [4, 4], [9], [9], [9]]
[[8], [4, 7], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [9], [7], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [], [8], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4], [4, 4, 4], [], [9], [8], [9], [8], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [], [9], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4]]
[[8], [9], [9], [9], [8], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [4], [4, 4], [9], [9], [9], [7], [9], [4, 4], []]
[[9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [9], [9], [9], [7], [4, 4], [9], [], [4], [4, 4]]
[[9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [8], [9], [4, 4], [], [4, 4], [4, 4], [], [8]]
[[9], [9], [], [9], [9], [8], [4, 4], [], [4, 4], [9], [9], [9], [7], [9], [], [9], [4, 4], [9], [4, 4], [], [9], [8], [], [4, 4], [4], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9]]
[[9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [7], [], [9], [], [4, 4], [9], [4, 4], [9], [4], [9], [9], [], [4, 4], [9], [9], [], [9], [8], [], [8]]
[[9], [9], [9], [], [4, 4], [9], [4, 4], [8], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [8], [], [9], [4, 4], [7], [9], [4, 4], [], [9], [], [9], [9], [], [], [9], [9], [9], [4], [9], [4, 4], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [297], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [198, 132, 100, 80, 66, 57, 50, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [149, 99, 75, 60, 50, 43, 38, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], []]
[[9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9], [4, 7, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9, 9, 9], [7, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9], [9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7, 9], [8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [7, 7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 9, 9], [9]]
[[], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [4, 7, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [7, 7, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 7, 7, 8]]
[[9, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [8, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 8]]
[[], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 9], [9, 9], [7, 7], [9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [7, 7], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [4, 4, 9]]
[[], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [4, 7, 7], [], [4, 9], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9, 9], [], [9, 9], [7, 7], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [4, 9], [9], [9], [7, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [8, 9], [9], [7, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 7], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [7, 7], [4, 9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [7, 9], [4, 9], [9], [7, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [8]]
[[9], [4, 9], [4, 9], [7, 7], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [8], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9]]
[[9], [4, 9], [9], [7, 7], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4]]
[[9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [7, 7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 9], [9], [7], [9], [9], [4, 9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [4, 9], [7], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [7], [9], [7], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [7], [9], [4, 4, 4], [9], [4, 7], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9]]
[[7], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [7]]
[[9], [9], [7], [], [8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4], [9], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [7], [], [9], [4, 4, 4], [8], [4], [9], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [4], [9], [9], [9], [9], [9], [9], [4, 7], [9], [], [9], [], [9], [7], [], [8], [9], [9]]
[[9], [4, 4, 4], [7], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [7], [9], [4, 4, 4], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [8], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [7], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [7], [9], [9], [8], [9]]
[[7], [], [4, 4], [9], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [4, 4], [4], [9], [8]]
[[9], [9], [9], [9], [4], [], [4, 4], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [4, 4], [7], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [], [8], [7], [9], [4, 4], [], [9], [9], [9]]
[[9], [9], [7], [9], [4, 4], [4, 4], [9], [], [9], [], [4], [], [9], [9], [4, 4], [], [9], [9], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [], [], [9], [9], [9], [7], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [], [], [], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [9], [4], [], [9], [9], [9], [4, 4], [8], [], [9], [4, 4], [7], [7], [9], [9], [9], [4, 4], [9], [9]]
[[], [4, 4], [9], [7], [9], [9], [9], [9], [9], [], [], [], [9], [9], [7], [4, 4], [9], [9], [], [9], [8], [4, 4], [9], [4, 4], [9], [9], [4], [9], [9], [9], [], [9], [4, 4], [], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], [9]]
-EndAllocation

Instance: [[1], [296], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [197, 132, 98, 80, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [148, 99, 74, 60, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9], [7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [6, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 7, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 9, 9], [7, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [9]]
[[], [], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 6, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [6, 9, 9, 9], [7, 9, 9], [8, 9, 9], [9, 9, 9], [9], [4, 9, 9, 9]]
[[], [8], [9, 9, 9], [4, 4, 4, 6, 7], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [6, 9, 9], [4, 4, 4, 9], [9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 9, 9], [8, 9, 9], [4, 9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [6, 9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 7, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [4, 4, 6, 8], [9, 9], [4, 9, 9], [7]]
[[], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 6], [], [4, 4, 4, 7], [4, 4, 4, 4, 4], [9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 7], [], [4, 4, 4, 6], [4, 4, 4, 4, 4], [9, 9], [], [4, 9], [9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9], [8, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [], [9, 9], [4, 4], []]
[[], [9, 9], [4, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [8, 9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [6, 9], [], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 9], [4, 4, 9], [6, 9], [4, 4, 9], [7, 9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 9], [9], [6, 9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 4, 4]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [7, 9], [4, 4, 4, 4], [9], [4, 9], [4, 4, 8], [6, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [6, 9], [9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [7, 9], [9], [4, 9], [9], [9], [4, 4, 8]]
[[9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [6, 8], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 7], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [6, 7], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [6, 8], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [6, 7], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [7], [4, 9], [6], [9], [4, 4, 4], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [6], [9], [9], [9]]
[[7], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [6], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4, 4]]
[[9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [9], [9], [], [9], [6], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [6], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [8]]
[[9], [4, 4, 4], [9], [], [], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4], [9], [9], [9], [7], [9], [9], [9], [], [9], [9], [6], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [4, 4], [4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [6], [], [9], [9], [9], [4, 4], [8], [9], [9], [4], [9], [9]]
[[9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [6], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [8], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [4], [9], [7]]
[[9], [4, 4], [], [9], [4, 4], [], [4, 6], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [4, 4], [4, 4], [9], [9]]
[[9], [9], [4, 4], [9], [], [9], [9], [], [], [9], [9], [4, 4], [], [9], [4, 4], [9], [], [9], [9], [9], [7], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [8], [], [4, 6], [9], [9], [4, 4], [4, 4], [9], [9]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [7], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [4], [], [9], [], [9], [], [], [9], [4, 4], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [8], [6], [9], [9], [9], [9], [9], [9]]
[[7], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [6], [9], [9], [9], [9], [9], [9], [4], [4, 4], [], [], [9], [9], [9], [4, 4], [9], [9], [8], [], [9], [4, 4], [9], [], [], [], [], [9], [9], [9], [9]]
[[], [9], [9], [9], [9], [], [9], [4], [9], [], [9], [9], [9], [9], [], [7], [], [4, 4], [9], [8], [6], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [], [9]]
-EndAllocation

Instance: [[1], [295], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,43. UB Alg: [197, 132, 98, 78, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [148, 99, 74, 59, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,43:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8, 9]]
[[], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9], [8, 8, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8], [9, 9, 9]]
[[9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9]]
[[], [9, 9], [], [4, 9, 9], [9, 9], [9], [4, 9, 9], [8, 8], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9], [9, 9], [], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [4, 4, 4, 4, 4], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 9], [9, 9]]
[[], [4, 4, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [8, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [9]]
[[9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [8], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [8], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [8], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 8]]
[[9], [9], [4, 4, 4], [9], [4, 8], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9]]
[[], [8], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [8], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [], [8], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [], [8], [9], [], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9]]
[[9], [9], [9], [], [9], [9], [], [9], [9], [], [4, 8], [], [4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9]]
[[9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [8], [8], [4, 4], [4, 4], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [], [9], [9], [4, 4], [], [9], [4, 4], [8], [4, 4], [8], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], []]
[[9], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [8], [8], [9], [4, 4], [], [9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4]]
[[9], [9], [9], [4, 4], [], [9], [], [9], [4, 4], [9], [], [9], [9], [8], [9], [4, 4], [], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [8], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4]]
[[9], [8], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [], [], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [8]]
[[9], [], [9], [9], [], [9], [4, 4], [8], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [], [9]]
[[9], [4, 4], [4, 4], [9], [], [], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [], [], [9], [4, 4], [9], [9], [9], [8], [9], [9], [4, 4], [4, 4], [9], [8], [], [], [9], [4, 4], [], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [308], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8], [9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], []]
[[], [9, 9, 9], [9, 9, 9], [8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [], [4, 9, 9, 9], [4, 4, 8, 8, 8], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [], [4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [8, 8], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9]]
[[], [9, 9], [], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 9], [9, 9]]
[[], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [8, 8], [8, 9], [4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [], [4, 9], [4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [9], [8, 9]]
[[9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [8], [4, 9], [8, 8], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 8], [9], [4, 9], [8], [9], [4, 9], [4, 9], [9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 8], [9], [9], [9], [4, 8], [4, 4, 4]]
[[9], [9], [9], [8], [8], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 8], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [4, 9], [9], [8], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [], [8], [9]]
[[], [9], [], [4, 4, 4], [4, 9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [8], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [], [9], [9]]
[[9], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [], [4, 4, 4], [9], [], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [8]]
[[9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4], [8], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], []]
[[9], [4, 4], [9], [4], [8], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [8], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [4], [9], [9], [9], [9], [], [9], [8], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9]]
[[9], [8], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [8], [9], [4]]
[[9], [4, 4], [], [9], [9], [8], [4, 4], [9], [9], [8], [9], [9], [], [4, 4], [9], [9], [4], [9], [4, 4], [9], [9], [4, 4], [], [], [8], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [8], [9], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [8], [4, 4], [4, 4], [9], [4, 4], [], [], [9], [8], [9], [], [4, 4], [4], [9], [], [9], [9], [9], [9], [], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [4], [4, 4], [8], [9], [9], [9], [8], [4, 4], [9], [], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [8], [], [], [9]]
-EndAllocation

Instance: [[1], [307], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9, 9, 9, 9], [4, 7, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [9, 9, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [7]]
[[], [9, 9, 9], [9, 9, 9], [7, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 7, 9, 9], [9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [], [4, 4, 4, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 7, 9], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [7, 9, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [7], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [7, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 9], [9, 9]]
[[], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [4], [9, 9], [], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9]]
[[], [], [], [4, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [7]]
[[9], [4, 4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [7, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [8, 9]]
[[9], [4, 4, 9], [4, 4, 9], [9], [7, 9], [4, 4, 9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [8, 8], [9], [4, 9], [7, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [7, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [8], [8], [4, 9], [4, 9], [9], [9], [7], [9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 8], [9], [9], [9], [4, 4, 4], [4, 7]]
[[9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 8], [4, 9], [7], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [8], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [4, 9], [7]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [7], [9], [8], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [8], [9]]
[[], [9], [], [4, 4, 4], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [7], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [8], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [9], [7], [9], [], [9], [9]]
[[9], [9], [9], [4, 4, 4], [7], [9], [9], [], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [9], [], [4, 4, 4], [9], [], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [7]]
[[9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [9], []]
[[9], [4, 4], [9], [4], [8], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [7], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [8], [9], [4, 4], [4], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [7], [9], [9], [9], [9]]
[[], [9], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [7], [9], [4, 4], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [8], [9], [4]]
[[9], [4, 4], [], [9], [], [9], [4, 4], [9], [9], [8], [9], [9], [7], [4, 4], [9], [9], [4], [9], [4, 4], [9], [9], [4, 4], [], [], [8], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4], [9], [4, 4], [9], [4, 4], [8], [9], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [], [], [9], [8], [9], [], [4, 4], [7], [9], [], [9], [9], [9], [9], [], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [], [9], [9], [4, 4], [9], [7], [4], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [8], [], [], [9]]
-EndAllocation

Instance: [[1], [306], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [204, 136, 102, 82, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [153, 102, 77, 62, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 8, 8], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [5, 5, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [5, 5, 9, 9, 9, 9, 9]]
[[], [5, 5, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 5, 5, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [5, 5, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [5, 5]]
[[], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [5, 5, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [], [5, 5, 9, 9], [4, 4, 4, 4, 8, 8], [4, 9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [5, 5, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [5, 5, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [5, 5, 9], [9, 9], [4, 4, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 8, 8], [9, 9], [5, 5, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4]]
[[], [5, 5, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 9], [9, 9], [5, 5, 8], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [4, 9], [9, 9], [4, 4, 4, 4, 4], [5, 5, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [], [9, 9], [9, 9], [5, 5, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 9], [9, 9]]
[[], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [5, 5], [8, 8], [9, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [], [4, 4, 9], [4, 4, 5, 5], [9, 9], [9, 9], [9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], []]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [5, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [5, 9], [9], [4, 4, 9], [9], [9], [8, 9]]
[[9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [5, 5], [8, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 5, 5], [4, 9], [4, 9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [5, 5], [4, 9], [9], [9], [9], [9], [4, 9], [8, 8], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [8], [9], [4, 9], [4, 4, 4], [9], [5, 5], [8], [9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 5, 5], [4, 8], [9], [9], [9], [4, 4, 4], [4, 4, 4]]
[[9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 8], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [9], [5, 5]]
[[9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [5, 5], [9], [4, 9], [9], [8], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [5, 5], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [], [8], [5, 5]]
[[], [9], [9], [4, 4, 4], [4], [5, 5], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [8], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4], [9], [4, 4, 4], [9], [9], [9], [5], [5], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [], [9], [9], [], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4], [9], [4, 4, 4], [9], [], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [5, 5], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4], [5, 5], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [], [9], [8]]
[[], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [5, 5], [], [9], [9], [9], []]
[[9], [4, 4], [9], [], [8], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [5, 5]]
[[], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [4, 4], [5, 5], [9], [9], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9]]
[[], [9], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [5, 5], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [8], [9], [4, 4]]
[[9], [4, 4], [], [9], [], [9], [4, 4], [9], [9], [8], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [], [8], [4, 4], [9], [9], [9], [9], [], [4, 4], [5, 5], [], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [5, 5], [9], [4, 4], [8], [9], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [], [], [9], [8], [9], [], [4, 4], [9], [9], [], [9], [9], [], [9], [], [9], [9]]
[[9], [4, 4], [9], [], [9], [9], [], [4, 5], [9], [9], [9], [9], [], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [8], [4, 5], [9], [], [], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [8], [], [], [9]]
-EndAllocation

Instance: [[1], [305], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [204, 136, 102, 81, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [153, 102, 77, 61, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9]]
[[9], [4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [7, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9, 9], [6, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [6, 9, 9, 9, 9], [8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [6, 8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [6, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 8, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [7, 9, 9], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9, 9], [8, 9, 9]]
[[], [9, 9, 9], [4, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6], [9, 9], [9, 9, 9], [8, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [9, 9], [8, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [8, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9], [9, 9], [4, 4, 7, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 7], [6, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 9], [9], [9, 9], [7], [9, 9], [6, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 9], [9, 9], [9, 9], [8, 9], [6, 9], [9, 9], [9, 9], [9, 9], [9], [7, 9], [9, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [], [9, 9], [8, 9], [9, 9], [4, 4, 7], [6, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [4, 4, 7], [4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9], [], [9, 9], [4, 4, 4, 6], [9, 9], [9, 9], [9, 9]]
[[], [6, 9], [9, 9], [4, 4, 4, 4], [9], [], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 7], [9, 9], [9], [9, 9], [9, 9], [], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4]]
[[9], [9], [9], [4, 4, 9], [7, 9], [4, 4, 9], [9], [8, 9], [9], [6, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [9]]
[[9], [4, 9], [6, 9], [4, 4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [7, 9], [9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [6, 9], [4, 9], [4, 9], [9], [8], [4, 9], [4, 9], [4, 4, 4, 4], [9], [7, 9], [4, 9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [7, 8], [9], [9], [9], [9], [9], [6, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 4, 6], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 7], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 8], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [7], [4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 6], [4, 9], [9], [9], [8]]
[[9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 6], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 7], [9], [9], [4, 9]]
[[9], [4, 9], [9], [6], [9], [9], [9], [4, 9], [7], [9], [4, 9], [8], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 6], [9], [4, 4, 4], [9], [4, 4, 4], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8]]
[[9], [9], [9], [4, 4, 4], [9], [6], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [7], [4, 4, 4], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [7], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [9], [4, 4, 4], [8], [6], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4]]
[[9], [], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [6], [9], [9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9]]
[[9], [9], [], [8], [7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [6], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [4, 4], [], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [], [8], [4, 4, 4], [], [7], [], [9], [9], [9], [9], [6], [4, 4]]
[[], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [7], [4, 4, 4], [4, 4], [4, 4, 4], [8], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [], [6], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4], [9], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [8], [6], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [], [4], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [7], [9], [4, 4], [4, 4], [9], [4, 4], [], [9], [4, 4], [9], [9], [], [9], [], [9], [4, 4], [9], [6], [9]]
[[9], [9], [9], [9], [4, 6], [9], [9], [9], [], [4, 4], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [], [7], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [8], [4, 4], []]
[[9], [], [4, 4], [9], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [4, 6], [4, 4], [9], [9], [9], [9], [9], [7], [9], [4, 4], [], [8]]
[[9], [4, 4], [4, 6], [4, 4], [], [4, 4], [9], [], [8], [4, 4], [], [], [], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9]]
[[9], [9], [6], [9], [9], [], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [8], [], [4, 4], [], [9], [9], [], [], [], [9], [9], [9], [9], [9], [4], [9], [9], [], [9], [7], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [304], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [202, 136, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [152, 102, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [], [9, 9, 9]]
[[], [8, 8, 9], [4, 4, 4, 4, 9], [9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 8, 8], [9, 9], [9, 9], [4, 4, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [], [4, 4, 9], [9, 9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [8, 8], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [8, 8], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [9], [9], [4, 4, 4, 4]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 8], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 8], [9]]
[[9], [8], [9], [4, 4, 4], [9], [9], [4, 9], [4, 8], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9]]
[[8], [4, 9], [8], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [8], [8], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4], [8], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [], [], [9], [9], [9], [8], [9], [9], [9], [8], [], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [], [4, 4, 4], [8], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4], [9], [8], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [8], [], [4, 4], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], []]
[[9], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [], [9], [9], [], [], [4, 4]]
[[9], [4, 4], [4, 4], [8], [], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [8], [9], [9], [], [], [9], [9], [4, 4], [], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9]]
[[9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [9], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [8], [9], [8], [9], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [8], [4, 4], [8], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [9], [], [9], [9]]
[[8], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [], [], [], [4, 4], [4, 4], [4, 4], [], [9], [9], [8], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [303], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [202, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [152, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], []]
[[], [9, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 7, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [7, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 8, 9], [], [9, 9, 9]]
[[], [8, 9, 9], [4, 4, 4, 4, 7], [9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 8], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [], [9, 9], [4, 4, 4, 4, 4], [7, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 7], [8, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [7, 9]]
[[], [9, 9], [], [4, 4, 9], [9, 9], [4, 4, 4, 4], [7], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [8, 9], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [7, 9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 4, 4], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [9], [9], [4, 9], [9], [7, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 9], [7, 9], [8], [9], [9], [4, 4, 4, 4]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [4, 4, 4], [4, 7], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [9], [4, 7], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 8], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [7], [4, 9], [4, 8], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9]]
[[8], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [8], [9], [7], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [7], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [7]]
[[9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [], [], [9], [9], [9], [9], [9], [9], [9], [8], [], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [7], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [], [4, 4, 4], [8], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [8], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [7], []]
[[9], [9], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [], [7], [9], [], [9], []]
[[9], [4, 4], [4, 4], [8], [], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4], [9], [9], [9], [9], [], [], [9], [9], [4, 4], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9]]
[[9], [4, 4], [9], [], [9], [4, 4], [4, 4], [7], [9], [], [9], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [4, 4], [4, 4], [], [9], [9], [7], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [9], [], [9], [9]]
[[8], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [], [], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [9], [9], [7], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [302], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,44. UB Alg: [201, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [151, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,44:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [6, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 6, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], []]
[[], [9], [9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9], [8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [6, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 6, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [], [9, 9]]
[[], [8, 9, 9], [4, 4, 4, 4, 9], [9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [6], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [6, 9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [6, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9], [9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 6], [4, 4, 4, 4, 4], [8, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [6], [9, 9], [9, 9], [9, 9], [9, 9], [], [], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 8], [9, 9], [], [9, 9], [9, 9], [], [6, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [], [4, 4, 9], [9, 9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [6, 9], [8, 9], [9, 9], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [6, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [6, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 4, 4], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9]]
[[9], [9], [6, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 6], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [8], [9], [9], [4, 4, 4, 4]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [6], [4, 8], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [6, 8], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 8], [9], [9], [9], [4, 4, 4], [4, 6], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9]]
[[8], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 6], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [4, 6], [9], [9], [9], [9], [9], [4, 9], [4, 9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [6], [4, 4, 4], [8], [9], [9], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [6], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 6], [4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [], [], [9], [9], [9], [9], [9], [9], [9], [8], [], [], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [6], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [6], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [], [4, 4, 4], [8], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [], [6], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4]]
[[9], [9], [4, 6], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [8], [], [4, 4], [9], [4], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], []]
[[9], [9], [9], [9], [4, 4], [4, 4], [6], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [], [9], [9], [], [9], []]
[[9], [4, 4], [4, 4], [8], [6], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [], [9], [9], [4, 4], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [4, 4], [9]]
[[9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [9], [], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [8], [9], [6], [9], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [4, 4]]
[[9], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [9], [4, 4], [], [], [4, 4], [9], [], [9], [9], [6], [9], [9]]
[[8], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [], [], [], [4, 4], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [6], [9], [4, 4], [4, 4], [9], [9], [9]]
-EndAllocation

Instance: [[1], [315], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [210, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [158, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7], [6, 6, 7, 7, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9], [7, 7, 7, 7, 7, 7, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [6, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9]]
[[], [6, 6, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 9], [7, 7, 7, 7, 7, 7, 9]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7], [9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7], [7, 8, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [5, 5, 5], [9, 9, 9, 9], [6, 6, 6, 6, 6], [7, 8, 9], [8, 8, 8, 8], [], [9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5]]
[[], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [5, 5, 5, 5, 5, 5], [9, 9, 9], [5, 8, 9, 9], [7, 7, 7, 7], [5, 5, 5, 6, 6, 6], [9, 9, 9], [9, 9], [6, 6, 6, 7, 7], []]
[[], [], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [7, 7, 8, 8], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 5], [9, 9, 9], [6, 8, 8, 8], [9], [5, 5, 5, 5, 5, 5], [9, 9, 9]]
[[], [], [6, 6, 6, 6], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 5], [6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 5], [7, 7, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [8, 8]]
[[], [6, 6, 6, 6], [7, 9, 9], [7, 9, 9], [], [9], [9, 9], [6, 6, 6, 6], [9, 9], [7, 7, 7], [8, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [7, 9, 9], [6, 6, 6, 8], [8, 8, 8]]
[[], [6, 6, 6], [], [7, 7, 7], [9, 9], [9, 9], [8, 8, 9], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [9, 9], [6, 6, 6, 6], [5, 5, 5, 5, 5], [8, 8, 8], [5, 5, 5, 5, 5], [7, 7, 7]]
[[], [8, 9], [5, 5, 5, 5], [9, 9], [5, 5, 5, 5], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6], [8, 8, 8], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6, 6], [6, 6, 6, 6], [], [9, 9], [5, 5, 8]]
[[], [9, 9], [5, 5, 5, 5], [6, 6, 6], [9, 9], [8, 8], [5, 5, 8], [9, 9], [5, 5, 5, 5], [7, 7, 7], [6, 6, 6], [7, 7, 7], [8, 8], [9, 9], [9], [9, 9], [9, 9], [6, 6], [6, 6, 6]]
[[], [6, 6, 6], [9, 9], [6, 6, 6], [9, 9], [6, 6, 8], [8, 8], [9, 9], [5, 5, 5, 5], [5, 8, 8], [5], [9, 9], [9, 9], [7, 7, 7], [9], [], [6, 6, 6], [7, 7, 7], [5, 5, 5, 5], [9, 9]]
[[], [], [6, 6, 6], [6, 6, 6], [9, 9], [7, 7], [8, 8], [8], [6], [9, 9], [5, 5, 5, 5], [9, 9], [8, 8], [5, 5, 5, 5], [6, 7, 7], [7, 7], [5, 5, 9], [6, 6, 6], [9, 9], [9, 9], [9, 9]]
[[], [9], [8], [6, 6, 6], [5, 5, 5, 5], [9, 9], [6, 6], [6, 6, 6], [8, 8], [9, 9], [7, 7], [5, 7, 7], [], [5, 7, 7], [9, 9], [8, 8], [6, 6, 6], [], [5, 5, 5, 5], [9, 9], [9, 9], [9, 9]]
[[], [], [8, 8], [9, 9], [5, 5, 5], [9], [7, 7], [], [9, 9], [9, 9], [6, 6], [6, 6, 6], [8, 8], [9, 9], [6, 6, 6], [9, 9], [5, 5, 5], [5, 5, 5], [9, 9], [7, 7], [5, 8], [7, 7], [6, 6, 6]]
[[], [6, 6, 6], [7, 7], [9, 9], [6, 6, 6], [], [5, 5, 5], [9, 9], [7, 7], [6, 6, 6], [9, 9], [5, 5, 5], [], [], [5, 9], [5, 5, 5], [6, 8], [8, 8], [7, 7], [9, 9], [6], [9, 9], [9, 9], [8, 8]]
[[9], [5, 5], [8, 9], [7, 7], [5, 6, 6], [9], [9], [9], [9], [7, 7], [8, 8], [9], [6, 9], [9], [9], [5, 5, 5], [5, 9], [6, 6], [6, 6], [6, 6], [6, 6], [8, 9], [7, 7], [8, 9], [5, 5, 5]]
[[9], [6, 6], [7, 7], [7, 7], [9], [8, 8], [6, 6], [9], [9], [9], [9], [9], [8, 8], [9], [8, 9], [9], [9], [5, 6, 6], [5, 5, 5], [7, 7], [6, 6], [6, 6], [6, 9], [9], [5, 5, 5], [5, 5, 5]]
[[9], [6, 9], [8, 8], [9], [6, 6], [], [5, 5], [6, 6], [7, 7], [5, 9], [9], [9], [9], [6, 6], [5, 9], [6, 6], [5, 5, 5], [8], [9], [7, 7], [8, 8], [6, 9], [7, 7], [9], [9], [6, 9], [5, 5, 5]]
[[9], [9], [6, 9], [9], [9], [9], [7, 7], [6, 6], [6, 6], [8, 8], [6, 6], [9], [6, 6], [9], [9], [9], [7, 7], [5, 5, 5], [], [5, 9], [5, 5, 5], [8, 8], [7, 7], [9], [5, 5, 5], [6, 6], [9], [8]]
[[9], [6, 6], [9], [5, 5], [5, 9], [7, 7], [9], [9], [8], [8], [5, 9], [9], [5, 5], [6, 6], [5, 9], [6, 6], [7, 7], [6, 8], [9], [9], [8], [5, 9], [6, 6], [5, 5], [9], [7, 7], [9], [8], [6, 6]]
[[9], [], [5, 5], [8], [9], [6, 6], [6, 6], [9], [9], [5, 9], [7, 7], [9], [9], [6, 6], [5, 9], [5, 8], [6, 6], [9], [5, 9], [5, 5], [7, 7], [5, 9], [9], [6, 8], [8], [5, 8], [7, 7], [9], [6, 6], []]
[[], [7, 7], [5, 5], [6, 6], [5, 5], [9], [9], [5, 8], [9], [9], [5, 5], [6, 6], [6, 8], [8], [6, 6], [7, 7], [9], [6, 6], [8], [9], [9], [9], [5, 5], [7, 7], [8], [9], [6, 6], [9], [9], [9], [5, 9]]
[[9], [5, 5], [6, 7], [9], [6, 7], [8], [5, 5], [9], [6, 6], [9], [5, 8], [6, 6], [9], [9], [9], [9], [9], [8], [6, 7], [9], [6, 6], [5, 5], [7], [9], [7], [9], [8], [5, 7], [5, 5], [8], [6, 6], [9]]
[[9], [5, 7], [9], [8], [5, 5], [7], [7], [9], [5, 5], [6, 6], [7], [9], [6, 6], [8], [5, 5], [9], [9], [8], [8], [5, 7], [9], [9], [9], [9], [6, 7], [8], [9], [9], [6, 6], [9], [5, 5], [6, 6], [6, 6]]
[[], [5, 7], [6, 6], [6, 7], [7], [9], [5, 5], [6, 6], [8], [9], [9], [5, 5], [9], [9], [8], [6, 6], [5, 5], [9], [5], [9], [7], [6, 6], [8], [9], [9], [5, 5], [8], [9], [9], [6, 7], [9], [8], [6, 7], [9]]
[[7], [8], [6, 6], [6, 6], [9], [9], [6, 6], [9], [5, 7], [8], [5, 5], [9], [7], [5], [8], [9], [9], [9], [7], [5, 5], [8], [6, 6], [7], [9], [9], [5, 5], [6], [9], [5, 5], [9], [8], [9], [6, 6], [9], [7]]
[[], [9], [7], [6, 6], [7], [7], [8], [9], [9], [9], [9], [9], [9], [5, 6], [9], [9], [8], [5, 5], [6, 6], [9], [5, 5], [8], [5, 7], [6, 6], [6, 6], [8], [9], [9], [8], [], [5, 7], [5, 7], [6, 6], [5, 5], [9], []]
[[], [6, 6], [5], [7], [7], [5, 5], [], [8], [9], [6], [9], [9], [9], [8], [9], [5, 7], [9], [6, 6], [5, 5], [9], [8], [7], [5, 5], [9], [9], [6, 6], [8], [6, 6], [9], [7], [7], [6, 6], [9], [8], [9], [9], [5, 5]]
[[9], [9], [9], [5, 5], [5, 5], [5], [8], [7], [8], [9], [5, 5], [9], [6, 6], [9], [9], [9], [9], [6, 6], [6, 6], [8], [8], [7], [5, 5], [9], [7], [9], [9], [6, 6], [9], [6], [], [7], [6, 6], [8], [7], [], [5, 7], []]
[[], [8], [5, 5], [7], [9], [9], [9], [7], [6, 6], [8], [6], [9], [6, 6], [9], [5, 5], [7], [], [8], [5, 5], [5, 5], [9], [], [7], [7], [8], [9], [9], [9], [8], [6, 6], [5, 5], [9], [], [6, 6], [7], [6, 6], [9], [9], [9]]
[[8], [6], [5, 5], [6], [9], [8], [7], [6], [7], [8], [6], [9], [9], [9], [6], [9], [6], [9], [6], [7], [5, 5], [6], [7], [9], [7], [8], [9], [9], [6], [6], [8], [9], [5, 5], [9], [5, 5], [5, 5], [7], [9], [9], [6]]
[[7], [8], [6], [6], [], [5, 5], [9], [6], [8], [9], [9], [7], [9], [7], [7], [9], [6], [9], [6], [8], [9], [6], [9], [5, 5], [5, 5], [5, 5], [7], [6], [6], [9], [6], [9], [8], [9], [5, 5], [7], [6], [9], [8], [9], [6]]
[[6], [6], [9], [8], [9], [9], [9], [8], [9], [9], [9], [6], [9], [7], [9], [5, 5], [], [8], [5, 5], [8], [6], [], [6], [9], [6], [6], [6], [6], [8], [9], [7], [6], [7], [7], [7], [5, 5], [9], [6], [5, 5], [7], [9], [5, 5]]
[[9], [5, 5], [9], [6], [6], [7], [], [9], [8], [], [9], [5, 5], [6], [6], [7], [9], [5, 5], [6], [6], [6], [7], [9], [6], [8], [5, 5], [6], [7], [8], [], [9], [6], [6], [7], [9], [8], [7], [9], [9], [9], [8], [9], [9], [5, 5]]
[[6], [8], [6], [8], [9], [6], [7], [9], [9], [9], [5, 5], [9], [8], [6], [9], [9], [6], [9], [9], [7], [6], [7], [6], [], [7], [7], [6], [5, 5], [9], [9], [], [6], [5, 5], [6], [], [5, 5], [], [6], [9], [5, 5], [8], [7], [9], [8]]
[[9], [5], [7], [5], [9], [9], [6], [9], [5], [9], [6], [6], [9], [9], [6], [7], [8], [5], [7], [7], [9], [9], [6], [6], [5], [7], [9], [5], [9], [7], [5], [8], [8], [6], [5], [9], [5], [6], [6], [6], [8], [5], [6], [9], [8]]
-EndAllocation

Instance: [[1], [314], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 9, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7], [6, 6, 7, 7, 7, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9], [7, 7, 7, 7, 7, 7, 7, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [6, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 9]]
[[], [6, 6, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 9, 9], [7, 7, 7, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 6, 6, 6], [5, 6, 8, 8, 8, 8], [7, 9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7], [9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 9], [7, 9, 9, 9], [5, 5, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7], [7, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [5, 5, 5], [9, 9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 9], [8, 8, 8, 8], [], [9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5]]
[[], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [5, 5, 5, 5, 5, 5], [7, 9, 9], [5, 9, 9, 9], [7, 7, 7, 7], [5, 5, 5, 6, 6, 6], [9, 9, 9], [9, 9], [6, 6, 6, 7, 7], []]
[[], [], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [7, 7, 7, 8], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 5, 5, 5], [9, 9, 9], [6, 8, 8, 8], [9], [5, 5, 5, 5, 5, 5], [9, 9, 9]]
[[], [], [6, 6, 6, 6], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 5], [6, 6, 6, 9], [9, 9, 9], [5, 5, 5, 5, 5], [7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8], [8]]
[[], [6, 6, 6, 6], [7, 9, 9], [7, 9, 9], [], [9], [9, 9], [6, 6, 6, 6], [9, 9], [7, 7, 7], [8, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [7, 9, 9], [6, 6, 6, 7], [8, 8, 8]]
[[], [6, 6, 6], [], [7, 7, 7], [9, 9], [9, 9], [6, 8, 9], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [9, 9], [6, 6, 6, 7], [5, 5, 5, 5, 5], [8, 8, 8], [5, 5, 5, 5, 5], [7, 7, 7]]
[[], [9, 9], [5, 5, 5, 5], [9, 9], [5, 5, 5, 5], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6], [8, 8, 8], [7, 9], [7, 7, 7], [9, 9], [6, 6, 6, 6], [6, 6, 6, 6], [], [9, 9], [5, 5, 8]]
[[], [9, 9], [5, 5, 5, 5], [6, 6, 6], [9, 9], [8, 8], [5, 5, 8], [9, 9], [5, 5, 5, 5], [7, 7, 7], [6, 6, 6], [7, 7, 7], [8], [9, 9], [7, 9], [9, 9], [9, 9], [6, 6], [6, 6, 6]]
[[], [6, 6], [9, 9], [6, 6, 6], [9, 9], [6, 6, 6], [8, 8], [7, 9], [5, 5, 5, 5], [5, 8, 8], [5], [9, 9], [9, 9], [7, 7, 7], [9, 9], [], [6, 6, 6], [7, 7, 7], [5, 5, 5, 5], [9, 9]]
[[], [], [6, 6, 6], [6, 6, 7], [9, 9], [7, 7], [8, 8], [], [6, 6], [9, 9], [5, 5, 5, 5], [9, 9], [8, 8], [5, 5, 5, 5], [6, 7, 7], [7, 7], [5, 5, 9], [6, 6, 6], [9, 9], [9, 9], [9, 9]]
[[], [7, 9], [], [6, 6, 6], [5, 5, 5, 5], [9, 9], [6, 6], [6, 6, 6], [8, 8], [9, 9], [7, 7], [5, 7, 7], [], [5, 7, 7], [9, 9], [8, 8], [6, 6, 6], [], [5, 5, 5, 5], [9, 9], [9, 9], [9, 9]]
[[], [], [8, 8], [9, 9], [5, 5, 5], [9], [7, 7], [], [9, 9], [9, 9], [6, 6], [6, 6, 6], [8, 8], [9, 9], [6, 6, 6], [9, 9], [5, 5, 5], [5, 5, 5], [9, 9], [7, 7], [5, 7], [7, 7], [6, 6, 6]]
[[], [6, 6, 6], [7, 7], [9, 9], [6, 6], [], [5, 5, 5], [9, 9], [7, 7], [6, 6, 6], [9, 9], [5, 5, 5], [7], [], [5, 9], [5, 5, 5], [6, 6, 6], [8, 8], [7, 7], [9, 9], [], [9, 9], [9, 9], [8, 8]]
[[9], [5, 5], [8, 9], [7, 7], [5, 6, 6], [9], [7, 9], [9], [9], [7, 7], [8, 8], [9], [6, 9], [9], [9], [5, 5, 5], [5, 9], [6, 6], [6, 6], [6, 6], [6, 6], [9], [7, 7], [8, 9], [5, 5, 5]]
[[9], [6, 6], [7, 7], [7, 7], [9], [8, 8], [6, 6], [9], [9], [9], [9], [9], [8, 8], [9], [9], [9], [9], [5, 6, 6], [5, 5, 5], [7, 7], [6, 6], [6, 6], [7, 9], [6, 9], [5, 5, 5], [5, 5, 5]]
[[], [6, 9], [8, 8], [9], [6, 6], [], [5, 5, 5], [6, 6], [7, 7], [5, 9], [5, 9], [9], [9], [6, 6], [5, 9], [6, 6], [5, 7], [9], [9], [7, 7], [8, 8], [6, 9], [7, 7], [9], [9], [6, 9], [5, 5, 5]]
[[9], [6, 9], [6, 9], [9], [9], [9], [7, 7], [6, 7], [6, 6], [8, 8], [6, 6], [9], [6, 6], [9], [9], [9], [7, 7], [5, 5, 5], [], [5, 9], [5, 5, 5], [8, 8], [7, 7], [9], [5, 5, 5], [6, 6], [], [9]]
[[9], [6, 7], [9], [5, 5], [9], [7, 7], [9], [9], [8], [8], [5, 5], [9], [5, 5], [6, 6], [5, 9], [6, 6], [7, 7], [6, 8], [9], [9], [9], [5, 9], [6, 6], [5, 5], [9], [7, 7], [9], [6, 8], [6, 6]]
[[9], [], [5, 5], [8], [9], [6, 6], [6, 6], [9], [9], [9], [7, 7], [9], [9], [6, 6], [5, 9], [5, 5], [6, 6], [9], [5, 9], [5, 5], [7, 7], [5, 9], [9], [6, 8], [8], [5, 8], [7, 7], [9], [6, 6], [7]]
[[], [7, 7], [5, 5], [6, 6], [5, 5], [9], [9], [5, 8], [9], [9], [5, 5], [6, 6], [6, 8], [8], [6, 6], [7, 7], [9], [6, 6], [8], [9], [9], [9], [5, 5], [7, 7], [7], [9], [6, 6], [9], [9], [9], [5, 9]]
[[9], [5, 5], [6, 7], [7], [6, 7], [8], [5, 5], [9], [6, 6], [9], [5, 8], [6, 6], [9], [9], [9], [9], [9], [8], [6, 7], [9], [6, 6], [5, 5], [7], [9], [7], [9], [8], [5, 7], [5, 5], [9], [6, 6], [9]]
[[9], [5, 7], [9], [8], [5, 5], [7], [7], [9], [5, 5], [6, 6], [7], [9], [6, 6], [8], [5, 5], [9], [9], [8], [8], [5, 7], [9], [9], [9], [9], [7], [9], [6, 7], [9], [6, 6], [9], [5, 5], [6, 6], [6, 6]]
[[], [5, 7], [6, 7], [6, 7], [6, 7], [9], [5, 5], [6, 6], [8], [9], [9], [5, 5], [9], [9], [8], [6, 6], [5, 5], [9], [5], [9], [7], [6, 6], [], [9], [9], [5, 5], [8], [9], [9], [6, 7], [9], [8], [6, 7], [9]]
[[7], [8], [6, 6], [6, 6], [9], [9], [6, 6], [9], [5, 7], [], [5, 5], [9], [7], [5, 6], [8], [9], [9], [9], [7], [5, 5], [8], [6, 6], [7], [9], [9], [5, 5], [7], [9], [5, 5], [9], [8], [9], [6, 6], [9], [7]]
[[], [9], [7], [6, 6], [7], [7], [8], [9], [9], [9], [9], [9], [9], [5, 6], [7], [9], [6, 6], [5, 5], [6, 6], [9], [5, 5], [8], [5, 7], [9], [6, 6], [8], [9], [9], [8], [], [5, 7], [5, 7], [6, 6], [5, 5], [9], []]
[[], [6, 6], [5], [7], [7], [5, 5], [], [9], [9], [6], [9], [9], [9], [8], [9], [5, 7], [9], [6, 6], [5, 5], [9], [8], [7], [5, 5], [9], [9], [6, 6], [8], [6, 6], [9], [7], [7], [6, 6], [9], [8], [9], [7], [5, 5]]
[[9], [9], [9], [5, 5], [5, 5], [5], [8], [7], [8], [9], [5, 5], [9], [6, 6], [9], [9], [9], [9], [6, 6], [6, 6], [7], [8], [7], [5, 5], [9], [7], [9], [9], [6, 6], [9], [6], [], [7], [6, 6], [8], [7], [], [5, 7], []]
[[], [8], [5, 5], [7], [9], [9], [9], [7], [6, 6], [8], [6], [9], [6, 6], [9], [5, 5], [7], [], [8], [5, 5], [5, 5], [9], [], [7], [7], [7], [9], [9], [9], [8], [6, 6], [5, 5], [9], [], [6, 6], [7], [6, 6], [9], [9], [9]]
[[8], [6], [5, 5], [6], [9], [8], [7], [6], [7], [8], [6], [9], [9], [9], [6], [9], [6], [9], [6], [7], [5, 5], [6], [7], [7], [7], [9], [9], [9], [6], [6], [8], [9], [5, 5], [9], [5, 5], [5, 5], [7], [9], [9], [6]]
[[7], [8], [6], [6], [9], [5, 5], [5, 5], [6], [6], [9], [9], [7], [9], [7], [7], [9], [6], [9], [6], [8], [9], [6], [9], [5, 5], [7], [5, 5], [7], [6], [6], [9], [], [9], [8], [9], [5, 5], [7], [6], [9], [8], [9], [6]]
[[6], [6], [9], [], [9], [9], [9], [8], [9], [9], [9], [6], [9], [7], [9], [5, 5], [7], [8], [5, 5], [8], [6], [], [6], [9], [6], [6], [6], [6], [8], [9], [7], [6], [7], [7], [7], [5, 5], [9], [6], [5, 5], [7], [9], [5, 5]]
[[9], [5, 5], [9], [6], [6], [7], [], [9], [8], [], [9], [5, 5], [6], [6], [7], [9], [5, 5], [6], [6], [6], [7], [9], [6], [9], [5, 5], [6], [7], [8], [], [9], [6], [6], [7], [9], [8], [7], [9], [9], [7], [8], [9], [9], [5, 5]]
[[6], [8], [6], [], [9], [6], [7], [9], [9], [9], [5, 5], [9], [8], [6], [9], [9], [6], [9], [9], [7], [6], [7], [6], [], [7], [7], [6], [5, 5], [9], [9], [], [6], [5, 5], [6], [], [5, 5], [7], [6], [9], [5, 5], [8], [7], [9], [8]]
[[9], [5], [7], [5], [9], [9], [6], [9], [5], [9], [6], [6], [9], [9], [6], [7], [9], [5], [7], [7], [9], [9], [6], [6], [5], [7], [7], [5], [9], [7], [5], [8], [8], [6], [5], [9], [5], [6], [6], [6], [8], [5], [6], [9], [8]]
-EndAllocation

Instance: [[1], [313], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 8, 8]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [4, 9, 9], [9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 8, 8], [4, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4], [9, 9], [9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9]]
[[], [9, 9], [], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [], [9, 9], [9, 9], [8, 8]]
[[9], [9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 4, 4]]
[[9], [9], [8, 8], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [8], [4, 9]]
[[9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [8], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 9], [9], [4, 4, 4], [8], [9], [9], [4, 9], [9], [9], [8], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [8], [9], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [9], [9]]
[[9], [8], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 4, 4], [], [], [9], [9], [9], [4, 4, 4]]
[[], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [], [9], [4, 4, 4], [], [9], [9], [8], [4, 4, 4], [9], [9], []]
[[], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [], [9], [9], [9], [], [8], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [4, 4], [9], [9], [], [9], [8], [], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [], [9], [], [4, 4], [], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [4, 4], [9], [8], [9], [4, 4], [9], [4, 4], [9], [9], [9], []]
[[9], [9], [9], [], [4, 4], [9], [4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [], [9], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [9], [], [4, 4], [8], [9], [4, 4]]
[[9], [4, 4], [9], [], [], [9], [], [9], [8], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9]]
[[], [8], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [], [4, 4], [4, 4], [9], [], [], [9], [8]]
[[9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [], [], [9], [9], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [9], [4, 4], [8], [9], [9], [], [9], [], [], [4, 4], [], [8], [9], [], [9], [9]]
-EndAllocation

Instance: [[1], [312], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [4, 8, 8, 8, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 9, 9], [8, 8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9], [8, 8, 8], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [], [9, 9, 9], [], [9, 9, 9]]
[[9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [8], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [8, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [4, 4, 4], [], [9, 9], [], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 9], [4, 4, 4, 4], [], [4, 4, 9], [], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9]]
[[9], [8, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [8, 9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [4, 4, 8], [9], [4, 9], [9]]
[[9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [8, 8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [8], [9], [4, 9], [9], [8, 8]]
[[9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 8], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [4, 4, 4], [4, 9]]
[[8], [4, 4], [9], [8], [9], [8], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [8], [9], [4, 9], [4, 4, 4], [9], [8], [9]]
[[9], [4, 4, 4], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [8], [8], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4]]
[[9], [4, 8], [9], [4, 4, 4], [8], [4, 9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [8], [4, 4, 4], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], []]
[[9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], []]
[[9], [9], [8], [4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [], [9], [9], [9], [], [9], [4, 8], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9]]
[[], [9], [9], [9], [9], [8], [9], [9], [9], [], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [8], [9], [9], [9], [], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [9], [9], [8], [9], [9]]
[[], [8], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [9], [8], [4, 4], [9], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [4, 4], [8], [9], [], [], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [4, 4], [8], [], [9], [9], [9], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [], [4, 4], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [4, 4], [], [], [9], [8], [], [9], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [], [9], [9], [9], [], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [8], [8], [], [4, 4], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [], [8], [9], [9], [9], [4, 4]]
[[9], [4, 4], [9], [8], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [9], [], [4, 4], [8], [9], [9], [9], [], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [], [9], [8], [9], [9], [], [9], [], [4, 4], [9]]
-EndAllocation

Instance: [[1], [311], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [4, 8, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [7, 8, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [], [7, 9, 9], [4, 4, 4, 4, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 9, 9], [8, 8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8], [7], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9], [8, 8, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [], [7, 9, 9], [], [9, 9, 9]]
[[9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 7], [9, 9], [9, 9], [8, 8, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9]]
[[], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [7, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [4, 4, 9], [], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [7, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [8, 9], [9], [9], [9], [7, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [7, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [8, 8], [4, 9], [4, 9], [7, 9], [4, 9], [9]]
[[9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 7], [8, 8], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 4, 4, 4], [9], [9], [7, 9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [7], [9], [9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 8], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9]]
[[8], [4, 9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 7], [4, 9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [7], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9], [8], [9]]
[[9], [4, 4, 4], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [8], [], [4, 9], [7], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 7]]
[[9], [4, 8], [9], [4, 4, 4], [8], [4, 9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4], [7], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [8], [4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 7], []]
[[9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 7], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4]]
[[9], [9], [8], [9], [4, 4, 4], [7], [9], [4, 4, 4], [], [9], [9], [9], [], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9]]
[[], [9], [9], [9], [9], [8], [9], [9], [9], [], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [9]]
[[8], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [4, 4], [], [4, 4], [9], [7], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [7], [9], [9], [9], [9], [], [4, 4], [8], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [9], [9], [8], [4, 4], [9]]
[[], [8], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [9], [8], [4, 4], [9], [4, 4], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [4, 4], [7], [9], [], [], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [4, 4], [8], [], [9], [9], [9], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [], [4, 4], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [7], [9], [9], [4, 4], [9], [9], [4, 4], [], [], [9], [8], [], [9], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [], [9], [9], [9], [], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [8], [9], [], [4, 4], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [9], [], [8], [7], [9], [9], [4, 4]]
[[9], [4, 4], [7], [8], [9], [9], [], [4, 4], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [9], [9], [], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [], [9], [8], [9], [9], [], [9], [], [4, 4], [9]]
-EndAllocation

Instance: [[1], [310], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [206, 138, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [155, 104, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 9, 9], [4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[9, 9], [7, 8, 8, 8, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [8, 8, 8, 9, 9, 9, 9]]
[[], [8, 8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9]]
[[], [4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 7], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 7, 8, 8, 8], [4, 4, 4, 4, 4, 4, 9]]
[[], [7, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [9, 9, 9], [9, 9, 9, 9]]
[[], [9], [9, 9, 9], [8, 8, 8, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9], [9, 9, 9], [9, 9, 9], [7, 9, 9], [4, 4, 9, 9]]
[[], [], [4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 8, 8, 8], [4, 4, 4, 7], [], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8, 8]]
[[], [4, 9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [7, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4], [4, 4, 9], [7, 9], [8, 8], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [8, 8], [9, 9], [7], [9, 9], [8, 9], [9, 9], [4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 7], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [8, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4], []]
[[9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [7, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [9], [8, 9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [8, 9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [7, 9], [4, 4, 9], [8, 8], [4, 4, 9], [9], [9]]
[[9], [4, 4, 4, 4], [4, 9], [9], [8, 8], [9], [9], [9], [4, 9], [4, 4, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [7, 9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [7, 9], [4, 9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [8, 8], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 9], [9], [7, 8], [4, 9], [9], [4, 4, 4, 4], [8, 8]]
[[9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [4, 8], [4, 8], [4, 9], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 7], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [9], [8], [9], [4, 8], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [7], [4, 4, 4], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 8]]
[[9], [9], [9], [4, 9], [7], [8], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [8], [4, 4, 4], [9], [4, 9]]
[[8], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [7], [9], [9], [4, 4, 4], [8], [9], [9], [9], [4, 8], [9], [9], [9], [8], [9], [9], [4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4]]
[[9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [4, 9]]
[[9], [9], [8], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [7], [4, 4, 4], [9], [4, 4, 4], [9], [8]]
[[9], [9], [9], [4, 4, 4], [], [9], [], [4, 4, 4], [9], [9], [9], [9], [7], [8], [4], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 8], [9], [9]]
[[9], [9], [], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [4, 7], [4], [9], [9], [9], [9], [9], [], [], [9], [4, 8], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 8], [9], [4, 8], [9], [9], [9], [], [9], [9], [9], [8], [9], [4], [4, 4, 4], [], [9], [7], [], [], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9]]
[[9], [8], [9], [9], [4, 4], [7], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [9], [], [4, 4], [4, 4], [], [9], [9], [4, 4], [], [9], [4, 4]]
[[8], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [7], [9], [], [8], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [8], [4, 4], [4, 4], [9], [9]]
[[9], [], [9], [], [4, 4], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [8], [], [7], [8], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [9]]
[[9], [9], [9], [7], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [8], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [8], [], [9], [9], [4, 4], [], [4, 4], [], [9], [8], [], [9], [4, 4]]
[[], [7], [4, 4], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [4, 4], [9], [], [9], [4, 4], [], [8], [8], [9], [], [9]]
[[9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [], [9], [9], [], [8], [7], [9], [], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [], [8], [9], [4, 4], [], [9], [], [9], [4, 4], [9], [4, 4]]
[[9], [], [9], [9], [8], [], [4, 4], [], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [], [7], [4, 4], [8], [4, 4], [9], [8], [9], [], [9], [9], [9], [9], [], [9], [9], [], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [309], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,45. UB Alg: [206, 137, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [155, 103, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9]]
[[], [6, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [6, 7, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [6, 7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9], [4, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [6, 7, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [8, 9]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [6, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 6, 9], [4, 9, 9, 9, 9], [4, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9], [9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [9, 9, 9, 9], [6, 8, 9, 9], [9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[9], [9, 9, 9], [6, 9, 9, 9], [7, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9, 9], [4, 4, 9, 9]]
[[], [9], [9, 9, 9], [8, 9, 9], [7, 9, 9], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [7, 9, 9], [9, 9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9]]
[[], [9, 9, 9], [9, 9, 9], [], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9], [7, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8]]
[[9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 6], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [9], [9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9], [8, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4, 4], [4, 4, 6, 8], [4, 4, 4, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [6, 9], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [], [9, 9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 6, 7], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6], [], [8, 9], [4, 4, 4], [9, 9], [7, 9], [4, 4, 4, 4, 4], [], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9], [9, 9], [7, 9], [6, 9], [4, 4, 9], [8, 9], [], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [], [4, 4, 4, 6], [4, 4, 8], [], [7, 9], [4]]
[[9], [9], [9], [9], [4, 4, 9], [9], [8, 9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [6, 9]]
[[9], [9], [6, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [7, 8], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [6, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [8], [7, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [6, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [7, 9], [9], [4, 9], [4, 9], [9], [8], [4, 4, 4, 4], [9]]
[[9], [4, 9], [9], [9], [9], [4, 9], [9], [7, 9], [9], [9], [9], [9], [4, 9], [8], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [6, 9], [4, 9], [4, 9], [4, 4, 4, 4]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 6], [9], [4, 9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 7], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 4, 6], [9], [9], [9], [9], [9], [9], [9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [4, 9], [4, 4, 4]]
[[7], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [6], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [6], [9], [4, 9], [9], [7], [9], [9], [9]]
[[9], [9], [4, 4, 4], [9], [9], [6], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 9], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [8], [], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [6], [9], [4, 7], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9]]
[[9], [4, 7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 6], [9], [], [9], [4, 4, 4], [9]]
[[9], [9], [4, 6], [9], [9], [9], [9], [8], [9], [4, 4, 4], [], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [7], [9], [], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [6], [4, 4, 4], [9], [4, 4, 4], [], [], [4, 4, 4], [4, 4, 4], [9], [], [9], [], [9], [9], [9], [4, 4, 4], [9], [7], [9]]
[[9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [7], [9], [], [9], [4, 4, 4], [], [], [9], [9], [9], [6], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8]]
[[9], [8], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [7], [9], [9], [6], [9], [], [9], [], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [6], [9], [9], [9], [9], [7], [9], [8], [4, 4], [9], [], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], []]
[[9], [9], [], [], [9], [4, 4], [], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [], [7], [4, 4], [9], [6], [4, 4], [9], [9], [9], [9], [9], [9]]
[[], [9], [8], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [9], [6], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4], [7], [9], [9], [], [], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [], [], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [8], [4, 4], [9], [9], [9], [9], [], [9], [9], [4, 4], [], [], [9], [4, 4], [7], [9], [9], [9], [4, 4], [6], [9], [9], [9], []]
[[9], [], [9], [9], [4, 4], [9], [4, 4], [8], [7], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [6], []]
[[9], [], [4, 4], [8], [9], [4, 4], [7], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [6], [4, 4], [], [9], [9], [9], [], [], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [], [], [9], [9], [], [9], [4, 4], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [322], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [214, 144, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [161, 108, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9], [8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [6, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 6, 8, 8, 8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [9, 9, 9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 8, 8]]
[[], [8, 8, 8, 8], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 6, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9], [6, 9, 9, 9, 9], [8, 8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 9, 9, 9], [], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [9], [8, 8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 6, 9, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8, 8]]
[[], [9, 9, 9], [4, 4, 4, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 8], [6, 9, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [6], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9], [4, 4, 4, 9], [8, 9, 9], [], [9, 9, 9], [], [6, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [9, 9], [9], [9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [4, 6, 9], [9, 9], [9, 9], [9, 9], [9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 4, 4, 4], [9, 9], [9], [4, 4, 6], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [6, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [8, 8], [9, 9], [9, 9], [4, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [6], [4, 4, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 9], [9, 9], [6], [9, 9], [], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [8, 8]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [], [9, 9], [4, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [6], [9]]
[[], [], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [6], [8, 8], [9, 9], [8, 8], [9, 9], [4, 9]]
[[9], [4, 4, 9], [8, 9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [8, 8], [4, 4, 9], [4, 4, 9], [6, 9], [9], [4, 4, 9], [9]]
[[9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [6, 9], [4, 4, 9], [4, 9], [9], [9], [8, 8], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [8, 9], [9], [4, 4, 4, 4], [9], [9]]
[[9], [9], [9], [4, 4, 4, 4], [8, 8], [4, 9], [9], [9], [4, 9], [4, 9], [6, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [8, 8], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 9], [6, 9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [8, 8]]
[[9], [8, 8], [4, 4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [8, 8], [9], [4, 9], [4, 9], [9], [9], [6, 9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4]]
[[9], [9], [4, 8], [4, 8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4], [6, 8], [4, 9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 8], [9], [4, 9], [9], [6, 8], [9], [4, 9], [4, 4, 4], [8], [8], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [6], [9], [8], [4, 8], [9], [9], [4, 9], [4, 8], [9], [9], [9], [9], [4, 9], [4, 9], [9], [8], [9], [9]]
[[9], [4, 8], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 8], [6]]
[[9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [8], [9], [9], [4, 4, 4], [9], [6], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 9], [8]]
[[9], [4, 8], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [6], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [8]]
[[9], [9], [6], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [8], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9]]
[[9], [9], [8], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [], [6], [4, 8], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 8], [9], [4, 4, 4], [9]]
[[9], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [4, 4], [8], [], [9], [9], [9], [9], [9], [6], [4, 4, 4], [9], [9], [8], [8], [9], [9], [9], [9]]
[[], [6], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [8], [9], [9], [9], [8], [8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 8], [4, 6], [9], [9], [9], [9], [9], [], [4, 4], [], [8], [4, 4, 4], [4, 4, 4], [], [], [], [9], [9], [9], [9], [9], [4, 8]]
[[9], [8], [9], [4, 4], [9], [4, 4], [4, 4], [8], [9], [9], [9], [9], [], [6], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [8], [4], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [8]]
[[6], [], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [9], [4], [8], [8], [9], [8], [], [8], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4]]
[[8], [9], [], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [], [], [4, 4], [], [9], [4], [9], [6], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [8]]
[[9], [9], [4, 4], [4, 4], [], [4, 4], [9], [9], [8], [9], [4, 4], [], [9], [9], [4], [9], [9], [4, 4], [8], [], [9], [4, 4], [], [9], [9], [], [8], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [6], [4, 4], [9], [9], []]
[[], [9], [9], [8], [8], [9], [4, 6], [9], [9], [], [9], [9], [9], [], [9], [8], [9], [9], [9], [4, 4], [8], [4, 4], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [], [9], [], [9], [], [4, 4], [9], [9]]
[[9], [9], [], [9], [9], [9], [9], [9], [6], [9], [4], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [], [8], [9], [8], [9], [], [8], [4, 4], [9], [4, 4], [], [4, 4], [4, 4], [4, 4], [8], [], [9], [], [9]]
-EndAllocation

Instance: [[1], [321], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [214, 142, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [161, 107, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9]]
[[], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [8, 8, 8, 9], [4], [9, 9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9]]
[[], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4], [9, 9, 9], [9]]
[[], [4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8], [9, 9], [9]]
[[], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [8, 8]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9], [9, 9], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], []]
[[], [9, 9], [9, 9], [], [], [8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [8, 9], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [9, 9], [9, 9], [4, 4, 4, 4], [9], [9, 9], [9, 9]]
[[9], [9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [9], [9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [8, 8], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [8], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 8], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [8, 8], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [8, 8], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [8], [9], [9], [4, 9], [9], [8], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [9], [4, 9], [8], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 8], [9], [4, 9], [4, 4, 4]]
[[9], [9], [8], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [8], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 8], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4], [9]]
[[9], [9], [9], [8], [4, 8], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [8], [8], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [4], [9], [9], [9], [9], [8], [4, 8], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], []]
[[9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [], [8], [4, 8], [], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4]]
[[8], [9], [4, 4, 4], [], [9], [8], [4, 4, 4], [9], [], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [], [9], [4, 8], [9], [], [9], [4], [9], [9], [8], [4, 4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [4, 8], [9], [9], [9], [], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [8], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [4, 4], [8], [], [9], [9], [], [9], [9], [9]]
[[9], [], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [8], [9], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [8], [], []]
[[], [4, 4], [9], [4, 4], [], [9], [], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [8], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [], [8], [4, 4], [9], [9], [9], [9], [4, 4]]
[[9], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [8], [9], [9], [], [4, 4], [9], [], [], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [8], [], [4, 4], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [8], [9], [], [9], [9]]
[[], [4, 4], [], [9], [9], [8], [4, 4], [9], [4, 4], [8], [9], [9], [], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [], [], [9], [9], [9], [4, 4], []]
[[9], [4, 4], [8], [], [4, 4], [9], [], [9], [9], [9], [9], [], [4, 4], [8], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [], [], [9], [8], [9], [], [9]]
-EndAllocation

Instance: [[1], [320], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7, 9], [9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9]]
[[], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9], [9, 9, 9]]
[[], [7, 9, 9, 9], [9, 9, 9, 9], [8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [9]]
[[], [4, 4, 4, 4, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4], [7], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9, 9], [9, 9], [9, 9], [8, 9, 9], [8, 9, 9], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 8, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 9, 9], [4, 9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [], [8, 8], [9, 9], [9, 9], [7, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [7], [4, 8, 8], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [4, 4, 9], [], [], [9, 9], [9, 9], [8, 8], [7, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [9, 9], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [7, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [9, 9], [], []]
[[9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [8, 9], [7, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [4, 4, 4, 4], [9], [9], [9], [4, 4, 9], [9], [8, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [7, 9], [9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4, 4]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [7, 9], [4, 4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [8, 8], [9], [4, 9], [9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [8], [9], [4, 9], [9], [4, 9], [4, 8], [9], [9], [7], [4, 9], [4, 4, 4], [9]]
[[9], [4, 7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 9], [9], [4, 9], [9], [9], [9], [8], [4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [4, 7], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [8], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [7], [9], [9]]
[[9], [7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4, 4], [4, 8], [7], [8], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [], [9]]
[[9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [7], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [8], [9], [4, 4, 4]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [7], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [8], [9], [9], []]
[[9], [4, 4, 4], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [8], [], [4, 4, 4], [9], [9], [7], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [], [7], [8], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [4, 4]]
[[], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [8], [9], [4, 4], [9], [9], [4, 4], [], [8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9]]
[[9], [9], [9], [9], [], [4, 4], [9], [7], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [8], [4, 4], [], [4, 4], [8], [9], [4, 4], [9], [], [9]]
[[9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [], [9], [], [9], [9], [4, 4], [9], [], [7], [9], [9], [9], [4, 4], [4, 4], [9], [8], [9], [8], [9], [4, 4], [9], [9], [9], [], [], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9]]
[[9], [], [9], [9], [9], [9], [9], [], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [8], [9], [7], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [8], [4, 4], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [9]]
[[], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [8], [9], [], [9], [9], [4, 4], [9], [], [9], [7], [4, 4], [9], [8], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [4, 4], []]
[[9], [9], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [], [], [9], [7], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [9], [9], [4, 4], [], [], [4, 4], [9], [8], [], [9], [], [], [9], [9], [9], [4, 4], [9]]
-EndAllocation

Instance: [[1], [319], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 6, 7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 5, 5, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 8, 8, 8, 9, 9], [6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 8, 8, 8, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 9, 9], [4, 4, 4, 4, 5, 5, 5, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9]]
[[9, 9], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 5, 5, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [4, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [8, 8, 8, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 6, 7], [5, 5, 5, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 8, 8], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 9, 9], [7, 9, 9, 9], [5, 5, 5, 6, 9, 9], [8, 9, 9, 9]]
[[], [9], [5, 5, 5, 9, 9], [4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 9], [4, 4, 4, 4, 9, 9], [7, 9, 9, 9], [9, 9, 9, 9], [6, 9, 9, 9], [9, 9, 9, 9]]
[[], [6, 7], [9, 9, 9, 9], [5, 5, 5, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9, 9], [], [4, 4, 4, 4, 9, 9]]
[[], [9, 9, 9], [6, 9, 9, 9], [8, 9, 9], [5, 5, 5, 8, 8], [], [4, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 7], [6, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9], [5, 5, 5, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [6, 9, 9], [4, 4, 4, 5, 5, 5], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [], [], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 6], [8, 8, 9], [5, 5, 5, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9, 9], [5, 5, 5, 9], [9, 9], [4, 4, 4, 4, 4], [9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [5, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [5, 5, 9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4], [8, 8, 8], [4, 4, 4, 4, 6], [9, 9]]
[[9], [9, 9], [9, 9], [5, 5, 5], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4], [6, 9], [9, 9], [9], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [4, 9], [9, 9], [4, 4, 4, 7], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [5, 5, 5], [4, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 8, 8], [6, 8]]
[[], [4, 4, 4, 6], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [5, 5, 5], [8, 8], [4], [9], [8, 9], [7], [4, 4, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4, 4], [7, 9], [9, 9], [8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 5, 5, 5], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [], [6, 9], [9, 9], []]
[[], [5, 5, 5], [9, 9], [4, 4, 4, 4], [9, 9], [], [7, 9], [9, 9], [], [], [9, 9], [8], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 6]]
[[], [], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [5, 5, 5], [], [8, 8], [], [4, 4, 4, 4], [6, 9], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [6, 9], [8, 9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [5, 5, 5], [9], [7, 9], [4, 9], [4, 4, 8]]
[[9], [5, 9], [4, 4, 9], [4, 4, 9], [9], [9], [6, 9], [4, 9], [9], [4, 4, 9], [8, 8], [7, 8], [9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [5, 9], [9], [9], [9], [9], [9], [5, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [6, 9], [9], [4, 9], [5, 5, 5], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [7, 9], [4, 9], [9], [9], [4, 9], [9], [8], [9], [8, 8], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 9], [9], [9], [4, 9], [9], [4, 9], [5, 5, 5], [4, 4, 4, 4], [9], [8, 8], [4, 8], [9], [6, 9], [9], [9], [9], [4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [6], [8], [9], [4, 9], [5, 9], [9], [9], [4, 5, 5], [4, 7], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 8]]
[[9], [4, 4, 4], [4, 9], [4, 9], [9], [7], [6], [4, 5, 5], [4, 9], [9], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [5, 8], [8], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [5, 9], [5, 5], [4, 4, 4], [6, 8], [7], [9], [4, 4, 4], [9], [4, 9], [4, 8], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [9], [9]]
[[9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [5, 5], [4, 9], [5, 6], [9], [9], [9], [9], [9], [4, 8], [9], [8], [9], [9], [7], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9]]
[[9], [5, 6], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [7], [9], [5, 8], [9], [9], [9], [9], [9], [9], [9], [4, 9], [5], [9], [9], [9], [9], [8], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [4, 9]]
[[9], [4, 6], [8], [9], [8], [9], [4, 9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [5], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [5, 5], [9], [9], [9], [9], [9], [7], [9], [4, 4, 4], [9]]
[[9], [9], [6], [9], [4, 8], [9], [5, 5], [9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [], [4, 4, 4], [9], [9], [9], [7], [4, 4], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [5]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4], [], [9], [9], [8], [9], [9], [6], [9], [8], [9], [4, 4, 4], [4, 4, 4], [5], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [7], [9], [5, 5], [9], [9], [9], [9]]
[[9], [9], [], [8], [9], [9], [5, 5], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [8], [6], [9], [9], [9], [9], [4, 5], [9], [8], [9], [9], [9], [9], [9], [7], [4, 4], [9], [9]]
[[9], [9], [9], [], [4, 5], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [5, 5], [4, 4, 4], [9], [8], [8], [], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4], [9], [4, 8], [9], [6], [9], [9], [7], [4, 4, 4]]
[[8], [9], [4, 4, 4], [9], [4], [9], [], [5, 6], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [5, 5], [8], [9], [4], [], [4, 7], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [8], [], [9], [9], [9]]
[[], [9], [9], [9], [8], [5], [9], [9], [4, 4], [9], [6], [4, 4], [9], [9], [4, 4], [9], [9], [4], [4, 4], [9], [7], [9], [9], [4, 4], [5, 5], [8], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [8], [9]]
[[9], [4, 4], [5, 5], [9], [9], [9], [], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [9], [8], [], [4, 4], [9], [9], [], [9], [6], [9], [9], [4, 4], [9], [8], [7], [4, 5], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9]]
[[9], [7], [8], [9], [], [9], [9], [9], [9], [4, 4], [], [9], [5, 5], [4, 4], [9], [4], [4, 4], [4, 4], [5], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [6], [], [9], [9], [8], [9], [9], [4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [8], [4, 4], [6], [4, 4], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [5, 5], [9], [9], [5], [], [], [9], [], [8], [4], [9], [], [9], [8], [9], [], [4, 4], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4], [9], [8], [], [4, 4], [4, 4], [9], [9], [7], [8], [5, 5], [], [8], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [9], [9], [], [9], [9], [5], [4, 4], [9], [9], [9], [], [9], [], [9], [4, 6], [9]]
[[], [8], [4, 4], [9], [9], [], [6], [], [9], [9], [9], [9], [9], [9], [9], [], [5], [9], [9], [9], [8], [4, 4], [], [4], [9], [9], [9], [9], [9], [], [9], [9], [8], [9], [5, 5], [9], [], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [7], [9]]
[[9], [], [], [9], [9], [9], [9], [6], [9], [9], [], [7], [8], [9], [], [4, 4], [], [4, 5], [9], [4, 4], [4, 4], [5], [9], [4, 4], [4, 4], [9], [9], [8], [5], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [8], []]
-EndAllocation

Instance: [[1], [318], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 7, 7, 8, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], [9, 9, 9, 9, 9, 9, 9], [4, 4, 7, 7, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9], [4, 6, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 6, 6, 7, 7, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 6, 6, 7, 7], [9, 9, 9, 9, 9]]
[[9], [8, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9], [6, 6, 9, 9, 9], [9, 9, 9, 9]]
[[], [9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9, 9], [6, 6, 9, 9], [9, 9, 9, 9]]
[[], [6, 6, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [6, 6, 9, 9], [9, 9, 9], [8, 9, 9], [], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 7, 7], [6, 6, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [6, 6, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 9], [], [], [9, 9, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 9, 9], [9, 9], [4, 4, 4, 6, 6], [8, 9, 9], [9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [6, 6, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9], [9, 9], [4, 4, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [4, 4, 4, 6, 6], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [6, 6, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8]]
[[], [9, 9], [9, 9], [4, 7, 7], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [6, 6]]
[[], [4, 4, 6, 6], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4], []]
[[], [4, 4], [7, 7], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [], [6, 6], [9, 9], [9]]
[[], [4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [], [4, 7, 7], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9], [8, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 6, 6]]
[[], [], [7, 7], [9, 9], [4, 4, 4, 4], [9], [9, 9], [], [8, 9], [], [4, 4, 4, 4], [6, 6], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [6, 9], [9], [9], [8, 9], [6, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [7, 9], [9], [7, 9], [4, 9], [4, 4, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 9], [6, 9], [4, 4, 9], [9], [6, 9], [8, 9], [7, 7], [9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [6, 6], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [7, 7], [4, 9], [9], [9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 7], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 8], [6, 9], [9], [6, 9], [9], [9], [9], [4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [6, 6], [4, 9], [7, 7], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 8]]
[[9], [4, 4, 4], [4, 9], [4, 9], [9], [7, 7], [6, 6], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [8], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [6, 8], [7, 7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [6], [9], [9], [9], [9]]
[[9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [6, 6], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [7], [4, 9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7]]
[[9], [6, 6], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [7], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [7], [9], [9], [4, 9]]
[[9], [6, 6], [8], [9], [7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [7], [9], [4, 4, 4], [9]]
[[9], [9], [6, 6], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [7], [4, 7], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [], [9], [9], [9], [6, 6], [9], [8], [9], [4, 4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [7]]
[[9], [9], [7], [9], [], [9], [4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [8], [6, 6], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [9], [9], [9]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4], [9], [9], [7], [9], [9], [9], [], [4, 4, 4], [9], [8], [], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [6, 6], [9], [9], [7], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [4], [9], [7], [6, 6], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [], [9], [4, 4, 4], [], [4, 7], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [], [9], [9], [9]]
[[], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [6], [4, 4], [9], [9], [4, 4], [9], [4], [4, 4], [4, 4], [7], [7], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [6], [9], [9]]
[[7], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [4], [4, 4], [9], [9], [6], [9], [9], [4, 4], [9], [9], [], [9], [6], [9], [9], [4, 4], [9], [8], [7], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [7], [4], [9], [], [9], [9], [6], [9], [4, 4], [], [9], [7], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [6], [], [9], [9], [9], [9], [9], [4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [7], [9], [9], [9], [4, 4], [9], [4, 4], [6], [4, 4], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [6], [9], [], [4], [9], [], [9], [4, 4], [9], [], [], [8], [9], [], [4, 4], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [9], [7], [8], [4, 4], [], [], [9], [7], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [6], [9], [9], [], [9], [], [9], [4, 6], [9]]
[[], [8], [4, 4], [9], [9], [9], [6], [], [9], [9], [9], [9], [9], [7], [9], [9], [9], [9], [6], [9], [], [4, 4], [], [4, 4], [9], [9], [9], [4], [9], [], [9], [9], [9], [9], [], [9], [], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [7], [9]]
[[9], [6], [], [9], [9], [9], [9], [6], [9], [9], [], [7], [], [9], [], [4, 4], [], [4, 4], [9], [4, 4], [4, 4], [4], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [7], [8], [9]]
-EndAllocation

Instance: [[1], [317], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [4, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9], [4, 4, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], []]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [4, 4, 4], [9, 9], [9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [], [8, 8], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [4, 9], [8, 9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [8, 8], [9], [4, 4, 4, 4], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [8, 8], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 8], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 8]]
[[9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [8], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [8], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [8], [9], [4, 9]]
[[9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [8], [], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 8], [], [9], [9], [4, 4, 4], [9], [], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 8], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [], [9], [], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [], [9], [], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [4], [9], [9]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [8], [], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [8], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [4], [], [9], [9], [9]]
[[], [9], [9], [9], [8], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [4], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [4], [9], [9], [9], [4, 4], [9], [8], [], [4, 4], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9]]
[[9], [], [4, 4], [9], [], [9], [9], [9], [4], [4, 4], [], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [], [9], [9], [8], [9], [9], [4, 4], [9], [9]]
[[9], [], [9], [4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [], [8], [4, 4], [9], [], [], [8], [9], [], [4, 4], [9]]
[[9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [8], [], [4, 4], [4, 4], [9], [9], [], [8], [4, 4], [], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4], [4, 4], [9], [9], [9], [], [9], [], [9], [9], [9]]
[[], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [4], [8], [4, 4], [], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [], [9], [], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9]]
[[9], [], [], [9], [9], [9], [9], [], [9], [9], [], [4, 4], [8], [9], [], [4, 4], [], [4, 4], [9], [4, 4], [4, 4], [4], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [], [9], [8], [9]]
-EndAllocation

Instance: [[1], [316], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,46. UB Alg: [210, 141, 105, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [158, 106, 79, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9], [4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [4, 7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 8], [9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [], [9, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [], [4, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 7, 9, 9], [9, 9, 9], [], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [7, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 8]]
[[], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 8, 9], []]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], []]
[[], [4, 4, 4, 4], [7, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [], [9, 9], [9, 9], []]
[[], [4, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [4, 4, 7], [9, 9], [9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4]]
[[], [], [7, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [], [8, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4], [9, 9], [9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [7, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [7, 9], [9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [7, 9], [4, 9], [9], [9], [4, 9], [4, 9], [8], [4, 9], [4, 4, 4, 4], [4, 9]]
[[9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 4, 8], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 4, 4, 4]]
[[9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 7], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 8]]
[[9], [4, 4, 4], [4, 9], [4, 9], [9], [7], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [8], [4, 9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [7], [4, 9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [7], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [8], [], [7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4], [], [9], [], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [7], [4], [9], [9]]
[[9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [8], [], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [7], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [], [9], [4, 4, 4], [], [4, 7], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [], [9], [9], [9]]
[[], [9], [9], [9], [8], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [4], [4, 4], [4, 4], [4, 4], [9], [7], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [], [4], [9], [9], [9], [4, 4], [9], [8], [7], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [7], [4, 4], [9], [], [9], [9], [9], [4], [4, 4], [], [], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9]]
[[9], [], [9], [4], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [4, 4], [9], [], [9], [4, 4], [9], [], [], [8], [9], [], [4, 4], [9]]
[[9], [9], [9], [4], [], [9], [9], [4, 4], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [7], [8], [4, 4], [], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [], [9], [], [9], [9], [9]]
[[], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4], [], [4, 4], [], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [], [9], [], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [7], [9]]
[[9], [], [], [9], [9], [9], [4], [], [9], [9], [], [7], [], [9], [], [4, 4], [], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [4, 4], [4, 4], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [8], [9]]
-EndAllocation

Instance: [[1], [329], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [220, 146, 110, 88, 73, 62, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 9], Opt: [165, 110, 83, 66, 55, 47, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8], [8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8], [7, 7]]
[[7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 6, 9, 9], [8], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [7, 7, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [8], [7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6], [9, 9, 9], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 9, 9], [7, 7, 7, 7]]
[[7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [8, 8, 9, 9, 9], [7, 7, 7, 7, 7], [], [9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [5, 5, 5, 5, 5, 5], [9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 5, 5, 7], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4], [6, 6, 6, 6, 6, 6], [8, 8, 8], [7], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7]]
[[9, 9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4], [8, 8, 8, 8], [7, 7], [6, 6, 6, 6, 6, 6], []]
[[7, 7, 7, 7], [9, 9, 9], [8, 8, 8, 8], [], [], [7, 7, 7, 7], [4, 4, 4, 4, 9, 9], [5, 5, 5, 5, 5, 5], [6, 9, 9, 9], [7, 7, 7, 7], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9]]
[[5, 5, 5, 5, 5, 5], [], [7, 7, 7, 7], [4, 4, 4, 4], [9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [6]]
[[5, 8, 8, 8], [5, 5, 5, 5, 5], [8, 8], [4, 4, 4, 4], [8, 8, 8], [], [6, 6], [9, 9], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6], [7, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7, 7], [9, 9, 9]]
[[8, 8, 8], [8, 8, 8], [6, 6, 8, 8], [9, 9, 9], [], [7, 7, 7, 7], [5], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6], [4, 4, 4, 4], [5, 5, 5, 5, 5], [9, 9, 9], [7, 7, 7, 7], [], [9, 9]]
[[7, 7, 7], [8, 9, 9], [6, 6, 9], [7, 7, 7], [5], [4, 4, 4, 4], [8, 9, 9], [6, 6, 6, 6], [5, 5, 5, 5, 5], [7, 7, 7], [9, 9], [8, 8, 8], [9, 9], [9, 9], [8, 8, 8], [7, 7, 7], []]
[[4, 7, 7, 7], [9, 9], [9, 9], [4, 7, 7, 7], [9, 9], [5], [8, 8], [4, 4, 6, 9], [6, 6, 6, 6], [7, 7, 7], [8, 8, 8], [5, 5, 5, 5, 5], [], [8, 8, 8], [7, 7, 7], [], [9, 9], [6, 9, 9]]
[[7, 7, 7], [6, 6, 9], [9, 9], [7, 7, 7], [6, 6, 6, 6], [5, 5, 5, 5], [8, 8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [5, 5], [8, 8, 8], [], [7, 7, 7], [7, 7, 7], [9, 9], [8, 8]]
[[8, 8], [7, 7, 7], [5, 5, 5, 5], [7, 7, 7], [9], [5, 5], [6, 6, 6], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [7, 7, 7], [6, 6, 6], [9, 9], [8, 8], [], [7, 7, 7], [8, 8], [9, 9]]
[[7, 7, 7], [8, 8], [7, 7, 7], [5, 5], [6], [9, 9], [5, 5, 5, 5], [9, 9], [8, 8], [7, 7, 7], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [7, 7, 7], [6, 6, 9], [9, 9], [8, 8], [], [6, 6, 6], []]
[[7, 7], [9], [9, 9], [9, 9], [8, 8], [7, 7], [8, 8], [6, 6, 6], [5, 7, 7], [5, 7, 7], [7, 7], [9, 9], [9, 9], [5, 5, 5, 5], [6, 6, 6], [], [7, 7], [8, 8], [4, 4, 4, 4], [8, 8], [9, 9], []]
[[7, 7], [6, 6, 6], [], [7, 7], [9, 9], [5, 5, 5, 5], [7, 7], [8, 8], [4, 4, 4, 4], [7, 7], [7, 7], [6, 6, 6], [9, 9], [8, 8], [8, 8], [9], [], [8, 8], [9, 9], [9, 9], [5, 5], [9, 9], [7, 7]]
[[7, 7], [8, 8], [9, 9], [6, 6, 6], [], [8, 8], [9, 9], [9], [7, 7], [7, 7], [5, 5, 5], [9, 9], [7, 7], [9, 9], [5, 5, 5], [4, 4, 4, 4], [8, 8], [8, 8], [], [9, 9], [], [7, 7], [7, 7], [6, 6, 6]]
[[7, 7], [], [9, 9], [8, 8], [5, 5, 5], [], [], [6, 6, 6], [8, 8], [7, 7], [8, 8], [6, 6, 6], [7, 7], [7, 7], [7, 7], [4, 4, 4, 4], [], [9, 9], [5, 5, 5], [9, 9], [7, 7], [8, 8], [9, 9], [9, 9], [9]]
[[7, 7], [4, 4, 4, 4], [], [8, 9], [8, 9], [8, 8], [6, 9], [9], [5, 5, 5], [7, 7], [6, 9], [7, 7], [8, 8], [9], [9], [5, 5, 5], [9], [7, 7], [8, 8], [6, 6], [6, 6], [7, 7], [9], [7, 7], [9], [9]]
[[5, 5, 5], [8, 8], [7, 7], [7, 7], [9], [6, 6], [7, 7], [9], [9], [6, 6], [9], [9], [9], [8, 8], [7, 9], [9], [7, 7], [8, 8], [7, 7], [5, 5, 5], [], [8, 8], [4, 4, 4, 4], [6, 6], [9], [9], [7, 9]]
[[7, 7], [7, 7], [6, 6], [7, 9], [9], [4, 4, 4, 4], [9], [8, 8], [9], [7, 7], [], [5, 5, 5], [7, 9], [], [], [9], [7, 9], [7, 7], [8, 8], [9], [5, 5, 5], [8, 8], [9], [8, 8], [6, 6], [9], [6, 6], [7, 9]]
[[7, 7], [7, 7], [], [6, 9], [7, 7], [7, 7], [9], [7, 7], [8, 8], [4, 4, 4, 4], [9], [], [9], [], [8, 8], [9], [9], [5, 5, 5], [9], [9], [9], [7, 7], [6, 9], [6, 6], [5, 5, 5], [9], [6, 6], [8, 8], [8, 8]]
[[7, 7], [6, 8], [7, 7], [8], [8], [8], [5, 6], [9], [9], [7, 7], [9], [8], [4, 5, 5], [4, 4, 4], [9], [8], [6, 6], [9], [6, 6], [5, 9], [7, 7], [9], [8], [9], [9], [9], [7, 7], [7, 7], [5, 9], [5, 8]]
[[7, 7], [5, 9], [6, 6], [8], [4, 4, 4], [9], [6, 8], [9], [9], [5, 8], [7, 7], [9], [7, 7], [6, 8], [], [8], [4, 8], [9], [7, 7], [5, 5], [7, 7], [], [9], [9], [7, 7], [5, 8], [9], [9], [6, 6], [5, 8], [9]]
[[9], [7, 7], [9], [8], [4, 8], [7, 7], [9], [9], [9], [9], [], [6, 8], [9], [4, 8], [7, 7], [9], [6, 8], [5, 5], [4, 8], [7, 7], [4, 9], [5, 5], [], [6, 8], [5, 5], [7, 7], [9], [6, 6], [], [9], [6, 8], [7, 7]]
[[5, 7], [8], [4, 9], [9], [9], [6, 7], [7], [5, 7], [7], [8], [9], [9], [8], [9], [7], [4, 4, 4], [6, 7], [7], [9], [7], [6, 7], [5, 8], [5, 7], [8], [8], [6, 6], [9], [5, 8], [5, 8], [9], [6, 7], [9], [9]]
[[6, 7], [4, 8], [9], [6, 7], [7], [9], [8], [9], [4, 7], [7], [8], [8], [8], [5, 5], [5, 5], [9], [5, 7], [9], [9], [7], [8], [6, 6], [7], [7], [9], [4, 8], [7], [5, 8], [6, 7], [9], [9], [9], [6, 7], [4, 9]]
[[8], [5, 7], [6, 7], [6, 7], [8], [6, 7], [5, 5], [4, 4, 4], [7], [5, 5], [7], [8], [9], [4, 5], [7], [6, 7], [7], [9], [9], [7], [9], [9], [9], [8], [9], [9], [8], [8], [6, 7], [9], [8], [6, 7], [9], [9], [8]]
[[6, 7], [9], [4, 9], [9], [6, 7], [7], [6, 7], [7], [7], [9], [], [9], [8], [5, 5], [9], [7], [7], [4, 7], [9], [9], [8], [6, 6], [6, 7], [8], [5, 5], [9], [8], [8], [9], [4, 8], [8], [7], [4, 9], [5, 5], [7], [8]]
[[9], [8], [8], [4, 7], [7], [8], [9], [7], [5, 5], [7], [9], [8], [5, 5], [6, 6], [8], [8], [9], [7], [5, 7], [9], [7], [7], [7], [9], [7], [7], [8], [9], [4, 4, 4], [9], [9], [5, 7], [9], [6, 6], [6, 6], [8], [9]]
[[8], [7], [7], [9], [7], [7], [9], [9], [9], [9], [7], [9], [8], [6, 6], [5, 5], [5, 5], [8], [4, 4, 4], [8], [8], [7], [9], [8], [6, 6], [9], [7], [9], [7], [6, 6], [9], [9], [7], [7], [8], [5, 5], [8], [4, 7], [7]]
[[8], [6, 6], [9], [7], [8], [7], [8], [8], [5, 5], [4, 7], [5, 5], [9], [9], [9], [9], [9], [9], [8], [6, 6], [8], [9], [8], [], [8], [9], [7], [9], [7], [6, 6], [5, 5], [9], [7], [7], [7], [7], [4, 4, 4], [7], [7], [7]]
[[7], [8], [7], [7], [9], [9], [], [8], [6, 6], [8], [8], [], [9], [7], [5, 7], [9], [5, 5], [], [8], [9], [7], [6, 6], [9], [9], [4, 7], [7], [9], [8], [7], [5, 5], [4, 4, 4], [9], [7], [8], [8], [6, 6], [9], [9], [7], [5, 7]]
[[9], [6, 6], [9], [4, 7], [7], [8], [9], [5, 5], [4, 4, 4], [9], [6, 6], [8], [9], [9], [5, 5], [8], [7], [7], [9], [8], [9], [], [7], [7], [], [9], [8], [7], [9], [], [8], [8], [6, 6], [7], [8], [7], [7], [5, 5], [9], [7], [7]]
[[7], [7], [7], [7], [7], [5, 5], [4, 4], [], [8], [9], [4, 6], [7], [9], [8], [5, 5], [6], [9], [8], [6], [8], [8], [9], [6], [9], [6], [7], [9], [9], [4, 6], [9], [7], [5, 5], [7], [7], [8], [7], [8], [9], [9], [7], [8], [9]]
[[6], [6], [7], [9], [6], [8], [8], [7], [9], [7], [9], [5, 5], [7], [8], [4, 4], [8], [], [9], [7], [7], [], [9], [5, 5], [9], [4, 6], [8], [7], [9], [9], [7], [8], [7], [7], [9], [8], [5, 5], [7], [9], [9], [6], [7], [8], [4, 6]]
[[9], [7], [7], [7], [7], [9], [4, 6], [7], [8], [6], [9], [5, 5], [], [8], [6], [9], [6], [], [], [4, 4], [9], [7], [8], [8], [8], [6], [9], [7], [7], [7], [9], [9], [5, 5], [8], [9], [7], [8], [5, 5], [9], [7], [7], [9], [4, 6], [8]]
[[6], [7], [4, 6], [7], [7], [7], [4, 6], [8], [5, 5], [9], [8], [9], [5, 5], [8], [6], [], [4, 4], [8], [8], [7], [9], [], [6], [7], [5, 5], [], [], [7], [8], [9], [9], [6], [9], [7], [9], [9], [9], [7], [9], [9], [8], [7], [7], [7], [8]]
[[7], [7], [7], [7], [7], [6], [7], [7], [], [9], [], [8], [8], [5, 5], [9], [9], [7], [8], [9], [7], [8], [4, 6], [8], [4, 4], [5, 5], [4], [5, 5], [], [7], [], [8], [7], [9], [9], [9], [6], [6], [6], [7], [9], [9], [9], [8], [8], [6], [9]]
[[7], [4, 4], [7], [7], [7], [5], [6], [7], [5], [], [6], [8], [], [5], [9], [8], [7], [9], [4, 4], [8], [7], [9], [9], [9], [8], [8], [8], [5], [5], [9], [9], [9], [9], [8], [6], [7], [9], [6], [6], [7], [7], [5], [8], [7], [9], [7], [6]]
-EndAllocation

Instance: [[1], [328], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [218, 146, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [164, 110, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[9], [4, 4, 4, 8, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 7, 7], [9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9]]
[[9], [8, 9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9]]
[[], [9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [], [8, 9, 9, 9], [7, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [7, 7, 8], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [7, 7], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9]]
[[9], [7, 7, 9], [9, 9], [8, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 7, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9], [9, 9], [9, 9]]
[[], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [7, 7], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [7, 7], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [], [9, 9], [9, 9]]
[[], [], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [7, 7], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [7, 7], [], [4, 4, 4, 4], [4, 4], [4, 4, 4, 4], [9, 9], [9], [], [9, 9], [8, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [8, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [], [9, 9], [], [4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [9], [7, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [7, 7], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [8, 9], [4, 4, 9]]
[[9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [9], [9], [4, 9], [9], [7, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [7, 9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [7, 7], [4, 4, 8], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [7, 7], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [7, 7], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [8]]
[[9], [9], [4, 9], [9], [7, 7], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 8], [4, 7], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 7], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [8]]
[[9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[], [4, 9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 7], [4, 4, 4], [9], [9], [9], [], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [7], [9], [9], [9], [], [9], [9]]
[[9], [9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [7], [8], [9]]
[[9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [7], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [9]]
[[8], [], [9], [4, 4, 4], [9], [9], [9], [7], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [], [7], [], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [4, 4, 4], [], [7], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [], [9], [4, 4, 4]]
[[7], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [7], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [], [7], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [8], [9], [9], [9]]
[[9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [7], [9], [9], [9]]
[[9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [7], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [8], [9], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [7], [9], [4, 4], [9]]
[[9], [9], [9], [9], [7], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [7], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [9], [], [], [4, 4], [9], [], [9], [], [4, 4], [4, 4], [9], [8], [9], [9], [9], [9], [4, 4], [9], [], [4, 4], [], [7], [9], [7], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [], [], [9], [9], [9], [7], [], [], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [7], [], [8], [9], [9], [], [4, 4], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [327], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [218, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [164, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9]]
[[9, 9], [9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7]]
[[], [4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9]]
[[], [4, 9, 9, 9, 9, 9], [9, 9], [7, 7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9]]
[[], [], [9, 9, 9, 9], [7, 7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [9], [9, 9, 9, 9]]
[[9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [7, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [7, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7], [7, 7, 9], [9, 9, 9], [9, 9, 9], [], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 7], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 7, 7], [9, 9]]
[[], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [7, 7], [9, 9], [7, 9], [9, 9], [9, 9], [4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [7, 7], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [7, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9], [], [4, 4, 4, 4], [9, 9], [4, 4, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [7], [9, 9], [9, 9], [7, 7]]
[[], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [4, 4], [9, 9], [], [4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [7, 9]]
[[9], [9], [9], [7, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9]]
[[4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [7, 7], [7, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [7, 9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [7, 7], [4, 9]]
[[9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [7, 9], [7, 7], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [7], [4, 4, 4], [4, 9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [7, 7]]
[[9], [4, 9], [7], [4, 9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [9], [7, 7], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [7], [9], [4, 9], [4, 4, 4], [7, 7], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 7], [4, 9], [4, 9], [4, 7], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [7], [4, 4, 4], [9], [4, 9]]
[[9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [7], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [7], [9], [9], [9], [4, 4, 4]]
[[9], [9], [4, 4, 4], [7], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9]]
[[9], [4, 4, 4], [7], [9], [], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [7], [9], [], [4, 4, 4], [7], [9], [], [9], [9], [9], [9], [7], [9]]
[[9], [9], [4, 4], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [7], [9], [], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [9], [4, 4, 4], [9], []]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [7], [4, 4, 4], [9], [], [], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7]]
[[9], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [7], [], [9], [4, 4], [7], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [7], [9], [9]]
[[9], [9], [4, 4], [], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [7], [9], [], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [9], [9], [7], [9], [7]]
[[], [9], [9], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [9], [7], [7], [9], [9], [9], [], [9], [7], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [9], [9], [9]]
[[], [9], [4, 4], [9], [9], [4, 4], [], [9], [4, 4], [9], [7], [4, 4], [9], [9], [7], [9], [9], [9], [7], [], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [], [9], [4, 4], [9], [4, 4], [9], [9]]
[[9], [], [9], [7], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [7], [4, 4], [], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [7], [9], []]
[[7], [4, 4], [9], [9], [], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [7], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [], [], [], [9], [7], [9], [4, 4], [9]]
[[9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4], [], [], [9], [4, 4], [9], [9], [9], [9], [7], [9], [], [9], [9], [4, 4], [], [], [7], [9], [4, 4], [9], [9], [], [9], [], [7], [9], [], [9], []]
-EndAllocation

Instance: [[1], [326], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [217, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [163, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [4, 9, 9, 9, 9], [], [9, 9, 9, 9], [4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4], [8, 8, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [], [], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9]]
[[], [9, 9], [9, 9], [8, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [8, 9, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9]]
[[], [], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [4, 4, 4], [4, 4, 4, 4], [9, 9], [], [], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [], [4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [9], [4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9]]
[[9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [8, 9], [9], [4, 4, 9], [4, 9], [9], [9], [9], [8, 9], [4, 4, 9]]
[[9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [8, 8], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [8], [4, 8], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 8], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [8]]
[[9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [], [9], [9], [9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[], [4, 9], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9]]
[[8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [], [9], [4, 4, 4], [9], [9], [9], [8], [9]]
[[9], [9], [9], [8], [9], [4], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [9], [4, 4, 4], [9], [8], [9]]
[[8], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [4], [9], [9], [9], [9], [], [9], [], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [], [4], [4, 4, 4]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [4], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [8], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [], [4, 4], [8], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [9], [4], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [], [9], [8], [9], [9], [9]]
[[9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [8], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [4], [9], [9], [9], [9], [4, 4], [9], [8], [9], [9]]
[[9], [], [], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [], [9], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [8], [9], [8], [9], [9], [9], [9], [4, 4], [4], [4, 4], [9], [9], [9], [4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [8], [9], [9], [9], [9], [], [9], [], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [4, 4], [], [8], [4, 4], [4, 4], [4, 4], [9], [9], [], [4], [9], [9], [4, 4], [9], [9], [9], [], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [9], [9], [], [4, 4], [9], [], [9], [9], [4, 4], [4, 4], [9], [8], [9], [9], [9], [8], [4, 4], [9], [], [4, 4], [], [], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [4], [4, 4], [9], [9], [4, 4]]
[[9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [], [], [9], [9], [9], [4], [], [], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [4, 4], [8], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [], [8], [9], [9], [], [4, 4], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [325], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [217, 145, 109, 86, 73, 62, 54, 49, 44, 40, 37, 33, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [163, 109, 82, 65, 55, 47, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9], [8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9], [8, 8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8], [4, 4, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 8, 8, 8]]
[[9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [4, 9, 9], [9]]
[[], [4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4, 4], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 9], [], [8, 8], [9, 9]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [], [8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [], [9, 9], [8], [8, 8], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [8, 8], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4], [], [9, 9], [], [4, 4, 4, 4], [9, 9]]
[[9], [9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [8, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 8], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9]]
[[4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [8, 8], [9]]
[[9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [9], [8, 8]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [8], [4, 9], [4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 8], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [8], [4, 9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [4, 4, 4], [9], [8], [9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 4], [9], [9], [9], [9], [9], [4, 9], [8], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4]]
[[], [8], [9], [9], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [8], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9]]
[[9], [9], [8], [], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [], [9], [8], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4]]
[[9], [], [9], [9], [9], [9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [4, 4, 4], [9], [9], [], [8], [9], [9], [9], [8], [], [9]]
[[], [9], [9], [9], [4, 4, 4], [], [4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [8], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [8], [4, 4, 4], [], [9]]
[[9], [9], [8], [9], [9], [8], [], [9], [4, 4], [9], [8], [9], [9], [9], [4, 4], [4], [9], [], [9], [9], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4]]
[[9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [4, 4], [9], [9], [8], [9], [9], [4, 4], [9], [], [9], [8], [9], [4, 4], [9], [9], [8], [], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [9], [4, 4], [], [9], [9], [], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4], [8], [9], [8], [9], [4, 4], [9], [9], [], [9], [9], [8], [9], [4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [4, 4], [9], [9], [], [8], [], [9], [4], [4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [], [9], [9], [8], [9], [4, 4], [9], [8], []]
[[8], [9], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [8], [], [9], [9], [4, 4], [4], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [], [], [], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4]]
[[9], [9], [8], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [], [], [9], [9], [], [9], [4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [], [], [], [4, 4], [8], [9], [4, 4], [9], [9], [9], []]
[[9], [9], [4], [9], [4, 4], [9], [4, 4], [], [4, 4], [], [9], [4, 4], [], [9], [], [4, 4], [8], [9], [9], [], [], [9], [9], [9], [], [8], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [8], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [324], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 26, 24, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 20, 18, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [4, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 9, 9], [7, 9, 9, 9, 9, 9], [8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 4, 4, 4, 4, 7, 8, 8], [9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9]]
[[], [7, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7], [9, 9, 9, 9]]
[[], [9, 9, 9], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4], [7], [9, 9, 9], [9, 9, 9], [8, 8, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [7], [9, 9, 9], [9, 9, 9], [], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9]]
[[], [9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 7], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 7], [], [9, 9], [4, 4, 8, 8], [9, 9], [4, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], []]
[[], [], [9, 9], [], [9, 9], [7, 9], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], []]
[[], [], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [4, 9], [9, 9], [9, 9], [4, 4, 4, 7], [], [9, 9], [9, 9], [8, 8], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [], [8, 8], [4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [7, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9]]
[[9], [9], [7, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [8, 8], [4, 4, 9], [9], [9], [4, 4, 9], [4, 9], [9], [4, 4, 9], [9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [7, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [8, 8]]
[[9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [7, 9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [8, 8], [9], [4, 4, 4, 4], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [7, 9], [9]]
[[9], [4, 9], [4, 4, 4], [4, 9], [4, 7], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 8], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [8]]
[[9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [8], [4, 7], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9]]
[[9], [7], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 9], [4, 4, 4], [7], [9], [4, 8], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9]]
[[9], [8], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [9], [9], [4, 4, 4], [7], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [7], [4, 4, 4], [9], [4, 4, 4]]
[[], [9], [9], [4, 8], [9], [9], [8], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4]]
[[], [8], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [7], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4], [4, 4, 4], [], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4], [9], [4, 4, 4], [9], [9], [], [4, 4], [7], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [4, 8], [], [4, 4, 4], [9], [9], [9], [8], [9]]
[[9], [9], [7], [4, 4, 4], [], [], [9], [4, 8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [4, 4], [9], [], [7], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [8], [], [4], [], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4]]
[[9], [8], [9], [9], [4, 4], [9], [9], [9], [], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [4], [9], [9], [9], [7], [4, 4], [], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [9], [9], [9], [], [], [9], [9], [9], [9], [4], [4, 4], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [8], [9], [4, 4], [8], [9], [9], [9], [9], [9], [9], [4, 4], [], [7], [9], [4, 4], [9], [4, 4], [9], [9], []]
[[9], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [4], [9], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [], [4, 4], [9], [9], [9], [8], [4, 4], [8], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [], [9], [9], [], [7], [9], [9]]
[[], [4], [9], [4, 4], [9], [4, 4], [9], [7], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [8], [], [9], [4, 4], [], [9], [9], [], [9], [], [9], [9], []]
[[9], [9], [9], [], [7], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [], [9], [9], [9], [], [], [8], [9], [4, 4], [], [4, 4], [4, 4], [9], [8], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4]]
[[9], [9], [9], [], [9], [9], [], [4, 4], [9], [4], [8], [7], [9], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [9], [8], [], [], [9], [9], [9], [9], [], [4, 4], [9], [9], [4, 4], []]
-EndAllocation

Instance: [[1], [323], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,47. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,47:
-StartAllocation
[[8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 8, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 7, 7, 8], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 7, 7], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 7, 7, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8], [9, 9, 9, 9], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 8], [9, 9, 9, 9], [7, 7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [7, 7, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [4, 9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9], [7, 7, 8], [4, 4, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 7, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 8]]
[[9], [4, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 8, 9], [7, 7, 9], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [8, 9], [7, 7]]
[[], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [8, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 7], [], [9, 9], [], [8], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 7, 7], [9, 9], [9], [4, 4, 4, 4], [9], [9, 9], [9, 9], [4, 4], [8, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [], [9, 9], [], [4, 4, 4, 4], [9, 9]]
[[9], [4, 9], [8, 9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [9], [9], [9], [7, 9], [4, 4, 9], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [4, 4, 4, 4], [9]]
[[4, 9], [9], [9], [4, 9], [9], [7, 9], [9], [4, 4, 8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [7, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [7, 7], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 8], [9]]
[[9], [9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [7, 7], [4, 9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [9], [9], [9], [7, 7], [4, 9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 8], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [7, 7], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [7, 7], [9], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [7], [9], [9], [9], [9], [9]]
[[9], [4, 9], [7], [7], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4]]
[[], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [4, 9], [7], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [7], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [4], [9]]
[[9], [9], [9], [], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 8], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4]]
[[7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7], [], [9], [4, 4, 4], [9], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [], [4], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [], [7], [9], [9], [9], [7], [4, 4, 4], [4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [], [], [9]]
[[], [9], [9], [7], [4, 4, 4], [], [4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [], [4, 4, 4], [9], [9], [], [7], [9], [9], [9], [9], [4, 4, 4], [], [9]]
[[7], [9], [4, 4], [9], [9], [8], [], [9], [4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [7], [4, 4]]
[[9], [9], [9], [9], [7], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [4, 4], [], [9], [7], [9], [9], [8], [9], [9], [4, 4], [9], [], [9], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [4, 4]]
[[9], [9], [4, 4], [7], [9], [], [], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [7], [8], [9], [4], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9]]
[[9], [9], [4, 4], [9], [9], [], [8], [], [9], [4], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [4, 4], [7], [], [9], [9], [], [7], [4, 4], [9], [9], []]
[[], [9], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [7], [4, 4], [9], [], [9], [9], [9], [9], [], [7], [9], [4, 4], [4], [9], [9], [8], [9], [9], [9], [4, 4], [9], [9], [], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4]]
[[9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [], [], [9], [9], [], [9], [4], [9], [4, 4], [9], [9], [9], [7], [9], [9], [9], [9], [9], [4, 4], [], [], [], [4, 4], [8], [9], [4, 4], [9], [9], [], [7]]
[[9], [9], [4, 4], [9], [4, 4], [9], [7], [], [4, 4], [4], [9], [4, 4], [], [9], [], [4, 4], [8], [7], [9], [], [], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [4, 4]]
-EndAllocation

Instance: [[1], [336], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [224, 149, 112, 90, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [168, 112, 84, 68, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 8, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9], [7, 7, 8, 8, 9, 9], [9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [7, 7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [7, 7, 8, 8]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 7, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9], [], [7, 7, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [7, 7, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 8, 8], [9, 9], [7, 9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 7], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [7, 7], [9, 9], []]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 7, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4], [9, 9], [9, 9], [9, 9], [4, 8, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4], [7, 7], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [], [9, 9], [7, 7], [], [4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [7, 7], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 8], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [7, 7], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [8, 8], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [8], [4, 8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [7, 7], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [8], [4, 9], [8], [9], [4, 4, 4], [4, 9], [9], [7, 7], [4, 9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [7, 7], [9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [4, 9], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 7], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [4, 9], [7], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [7], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [8], [], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [8], [9], [], [], [], [7], [4, 8], [4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [], [7], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9]]
[[], [9], [9], [4, 4], [9], [9], [8], [9], [8], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [9], [7], [9], [4, 4], [9], [9], [4, 4], [7], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [7], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [7], [], [4, 4], [8], [9]]
[[9], [], [7], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [9], [], [9], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4]]
[[9], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [7], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [8], [9], [4, 4], [9], [9], [9], [9], [], [9], [8], [], [9], [], [7], [4, 4], [], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [9], [9], [], [9], [], [7], [], [9], [4, 4], [], [9], [], [], [8], [9], [9], [9], [9], [9], [4, 4], [9]]
[[], [9], [], [7], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [8], [9], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [8], [4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], []]
-EndAllocation

Instance: [[1], [335], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [224, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [168, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9], [6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [6, 7, 8, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 6, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 8, 8, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [8, 8, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [6, 8, 9, 9, 9], [7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [8, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [6, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9, 9], [6, 7, 8, 8]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 6, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [6, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9], [], [7, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [6], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 9], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9]]
[[9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 8, 8], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [8, 8], [6, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 8], [6, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [7], [9, 9], []]
[[], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [6, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [8, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [6, 9], [4, 4, 4, 4, 4], [4, 4, 4], [7, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [], [9, 9], [7], [6], [4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [7], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 6], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [6, 9], [4, 4, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [9], [8, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [8, 8], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [6, 9], [7, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [7, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [6, 9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [6, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [7, 9], [9], [9], [4, 9], [8, 8], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [6, 9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [8], [4, 8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [6, 7], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [6], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 8], [4, 9], [8], [4, 9], [4, 9], [4, 9], [9], [7], [4, 9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [6], [9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 4, 4], [6, 7], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [4, 9], [9], [4, 9], [9], [9], [9], [6], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 6], [9], [4, 4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [6], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [6], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [7], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [], [8], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [6], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [9], [6], [9], [9], [8], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [8], [9], [], [], [], [9], [4, 8], [4, 6], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [4], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [4, 4], [9], [9], [4], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 6], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9]]
[[], [9], [9], [4, 4], [9], [9], [8], [9], [8], [4, 4], [9], [9], [9], [9], [], [6], [4, 4], [9], [7], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [6], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [7], [], [4, 4], [8], [9]]
[[9], [], [7], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 6], [9], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [9], [], [9], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [4], [9], [9], [9], [], [4, 4], [4, 4]]
[[9], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4], [9], [4, 4], [6], [4, 4], [9], [9], [], [9], [8], [9], [4, 4], [9], [9], [9], [9], [], [9], [8], [], [9], [], [4, 4], [4, 4], [], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [9], [9], [], [9], [], [9], [], [9], [4, 4], [], [9], [], [], [8], [9], [9], [9], [9], [6], [4, 4], [9]]
[[], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [8], [9], [9], [4, 4], [], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [8], [4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], [6]]
-EndAllocation

Instance: [[1], [334], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [222, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [167, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 4, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
[[7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 6, 6]]
[[5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4]]
[[5, 5, 5, 5, 5, 5, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8]]
[[7, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [8, 8], [7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9], [6, 6, 6, 6, 6, 6, 8]]
[[7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9], [], [7, 7, 7, 7, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9], [9]]
[[7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9], [4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 9, 9], [8, 8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [8, 8, 8, 8, 9, 9]]
[[6, 6, 6, 6, 6, 6, 7], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9]]
[[4, 4, 4, 4, 7, 7, 7], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [9], [7, 7, 7, 7, 7], []]
[[7, 8, 8, 8], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9], [5, 5, 5, 5, 5, 5], [7, 7], [7, 7, 7, 7, 7], [8, 9, 9, 9], [4, 4, 4, 4, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[7, 7, 7, 7], [6, 9, 9, 9], [7, 7, 7, 7], [4, 4, 4, 4, 6, 6, 6], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [8, 8, 9], [6, 7, 9, 9], [6, 7, 7, 7, 7], [], [5, 5, 5, 5, 5, 5], []]
[[7, 7, 7, 7], [], [9, 9, 9], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6], [6, 7, 8, 8], [7, 7, 7, 7], [9, 9, 9], [], [8, 8, 8, 8], [4, 4, 4, 4], [5, 5, 5, 5, 5, 5]]
[[7, 7, 7, 7], [], [6, 6, 6, 6, 6], [9, 9, 9], [9], [], [8, 9, 9], [6, 7, 8, 8], [7, 7, 7, 7], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5, 5, 5, 5], [4, 4, 4, 4, 8], [9, 9, 9], [8, 8, 8]]
[[5, 5, 5, 5, 5], [], [8, 9, 9], [8, 8, 8], [6, 6, 6, 6], [7, 7, 7, 7], [4, 4, 4, 4, 6, 6], [7, 8, 8], [7, 7, 7, 7], [9], [5, 8], [], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [9, 9, 9]]
[[7, 7, 7], [6, 6, 6, 6], [7, 7, 7], [6, 6], [8, 8, 8], [8, 9, 9], [4, 4, 9, 9], [9, 9], [4, 4, 7, 9], [7, 7, 7], [7, 7, 7], [8, 8, 8], [8, 8, 8], [], [], [5, 5, 5, 5, 5], [5, 9, 9]]
[[7, 7, 7], [4, 4, 4, 4], [5, 9, 9], [6, 6, 6, 6], [9], [6, 6, 8], [], [8, 8, 8], [7, 9, 9], [7, 7, 7], [9, 9], [7, 7, 7], [5, 5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [], [9, 9], [7, 7, 7]]
[[7, 7, 7], [6, 9, 9], [9], [8, 8, 8], [9, 9], [8, 8, 8], [7, 7, 7], [], [7], [5, 5, 5, 5], [6, 6, 6, 6], [4, 4, 4, 4], [8, 8, 8], [9, 9], [5, 5, 6, 8], [7, 7, 7], [], [7, 7, 7], [9, 9]]
[[7, 7, 7], [9], [6, 6, 6], [5, 5, 8], [9, 9], [8, 8], [8, 8], [8, 9], [7, 9], [7, 7, 7], [5, 5, 5, 5], [9, 9], [7, 7, 7], [7, 7, 7], [4, 4, 4, 4], [8, 8], [], [6, 6, 6], [9, 9], [8, 8]]
[[7, 7, 7], [8, 8], [5, 5], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [9, 9], [7, 9], [6, 6, 6], [7, 7, 7], [8, 8], [7, 7, 7], [9, 9], [6, 6, 6], [9, 9], [9, 9], [7, 7, 7], [], [], [4, 4, 4, 4]]
[[7, 7, 7], [], [6, 6, 6], [4, 4, 4, 4], [8, 8], [8, 9], [6, 6, 6], [7, 8], [7, 7, 7], [7, 7, 7], [9], [8, 8], [8, 8], [5, 5, 5, 5], [9, 9], [8, 8], [], [], [7, 7, 7], [9, 9], [9, 9], [5, 5, 9]]
[[7, 7], [7, 7], [], [6, 6, 6], [6, 6, 6], [8, 8], [7, 7], [5, 5, 8], [7, 8], [7, 7], [7, 7], [8, 8], [9, 9], [9, 9], [9, 9], [8, 8], [7, 7], [4, 4, 4, 4], [8, 8], [], [9], [5, 5, 5, 5], [9, 9]]
[[7, 7], [6, 6, 6], [6, 6, 6], [8, 8], [7, 7], [8, 8], [8, 8], [9, 9], [7, 9], [7, 7], [7, 7], [9, 9], [], [4, 4, 4, 4], [8, 8], [], [], [7, 7], [5, 5, 5], [5, 5, 5], [9, 9], [8, 8], [9, 9], [7, 7]]
[[7, 7], [5, 5, 5], [7, 7], [9, 9], [9, 9], [7, 7], [7, 7], [8, 8], [9, 9], [8, 8], [9, 9], [7, 7], [7, 7], [8, 8], [6, 6, 6], [6, 6, 6], [], [4, 4, 4, 4], [8, 8], [5, 5, 5], [9], [], [], [7], [8, 8]]
[[7, 7], [7, 7], [6, 9], [6, 6], [7, 7], [8, 9], [8, 9], [5, 5, 5], [9], [8, 8], [], [8, 9], [8, 8], [8, 9], [7, 7], [9], [7, 7], [6, 6], [], [9], [5, 5, 5], [7, 7], [4, 4, 4, 4], [7], [6, 9], [8, 8]]
[[7, 7], [7, 9], [8, 8], [7, 9], [4, 4, 4, 4], [], [7, 7], [5, 5, 5], [6, 6], [9], [7, 7], [7, 7], [8, 8], [], [7], [5, 5, 5], [8, 8], [6, 6], [7, 7], [9], [6, 9], [9], [8, 8], [6, 9], [9], [8], [8, 9]]
[[7, 7], [7, 7], [], [7, 9], [7, 7], [8, 8], [8, 8], [9], [9], [5, 5, 5], [7, 9], [9], [6, 6], [9], [9], [9], [], [6, 6], [4, 4, 4, 4], [7, 9], [5, 5, 5], [8, 8], [7, 7], [7, 7], [], [8, 8], [6, 6], [8, 8]]
[[7, 7], [7, 7], [7, 7], [6, 6], [5, 5, 5], [9], [], [6, 6], [7, 9], [9], [7, 7], [9], [4, 4, 4, 4], [6, 6], [5, 5, 5], [8, 8], [7, 9], [9], [], [7, 7], [], [8, 8], [9], [7, 9], [9], [8, 8], [8, 8], [8, 8], []]
[[7, 7], [7, 7], [8, 8], [9], [7, 7], [], [4, 4, 4, 4], [9], [8, 8], [9], [], [6, 6], [8, 8], [8, 8], [8, 8], [9], [], [9], [9], [], [7, 7], [6, 9], [7, 7], [7, 7], [5, 5, 5], [9], [9], [5, 5, 5], [6, 6], [6, 7]]
[[7, 7], [7, 7], [7, 7], [7, 7], [9], [8], [6, 8], [8], [7, 7], [9], [9], [9], [6, 8], [8], [9], [8], [8], [6, 6], [6, 6], [4, 9], [5, 9], [8], [9], [8], [7, 7], [4, 4, 4], [8], [5, 5], [9], [5, 5], [5, 7]]
[[8], [7, 7], [7, 7], [5, 5], [9], [9], [6, 6], [7, 7], [9], [4, 4, 4], [7, 7], [5, 9], [9], [6, 6], [8], [8], [9], [8], [4, 7], [8], [7, 7], [8], [9], [], [5, 5], [8], [8], [7, 7], [6, 8], [9], [6, 8], [5, 9]]
[[7, 7], [7, 7], [8], [], [8], [4, 4, 4], [6, 6], [8], [7, 7], [9], [7, 7], [4, 9], [8], [8], [5, 5], [9], [8], [9], [5, 5], [8], [9], [9], [9], [9], [7], [6, 8], [6, 6], [9], [5], [7, 7], [6, 8], [7, 7], [5, 8]]
[[6, 7], [8], [5, 8], [8], [8], [8], [7], [9], [6, 7], [4, 9], [7], [5, 7], [5, 8], [8], [5, 5], [6, 7], [8], [9], [9], [6, 7], [7], [9], [7], [9], [9], [8], [4, 4, 4], [9], [8], [7], [6, 7], [9], [6, 7], [5, 7]]
[[5, 8], [6, 7], [5, 8], [5, 7], [8], [8], [8], [9], [7], [9], [9], [4, 9], [6, 7], [9], [9], [7], [9], [7], [8], [8], [4, 4, 4], [6, 7], [8], [8], [7], [6, 6], [5], [8], [7], [7], [9], [9], [5, 7], [5, 7], [6, 7]]
[[5, 7], [5, 7], [5, 7], [6, 7], [8], [7], [8], [8], [9], [7], [9], [8], [5, 8], [7], [9], [6, 6], [5, 7], [8], [9], [8], [4, 5], [6, 6], [9], [6, 7], [9], [7], [8], [9], [9], [8], [7], [7], [9], [4, 4, 4], [8], [7]]
[[5, 7], [7], [8], [7], [7], [6, 6], [8], [7], [7], [7], [7], [6, 6], [5, 5], [9], [7], [8], [9], [8], [7], [8], [8], [8], [6, 6], [5, 7], [4, 4, 4], [9], [9], [7], [9], [5, 8], [7], [8], [5, 8], [9], [9], [9], [4, 9]]
[[9], [8], [7], [8], [7], [9], [6, 6], [8], [8], [8], [9], [8], [5, 7], [7], [8], [7], [7], [7], [4, 4, 4], [6, 6], [5, 5], [9], [5, 5], [7], [9], [9], [9], [6, 6], [5, 7], [9], [8], [8], [9], [7], [7], [7], [8], [4, 7]]
[[5, 7], [7], [7], [7], [9], [7], [8], [6, 6], [9], [8], [8], [5, 5], [9], [7], [9], [8], [6, 6], [], [9], [9], [6, 6], [], [8], [8], [8], [8], [8], [5, 7], [9], [9], [7], [9], [7], [7], [8], [5, 7], [4, 4, 4], [5, 7], [4, 7]]
[[7], [7], [7], [7], [8], [7], [8], [7], [9], [5, 5], [9], [6, 6], [5, 7], [5, 5], [8], [9], [9], [], [7], [7], [6, 6], [6, 6], [8], [8], [8], [4, 4, 4], [], [9], [5, 7], [8], [7], [9], [9], [9], [8], [4, 8], [8], [9], [7], [7]]
[[8], [5, 7], [7], [8], [7], [8], [7], [9], [9], [8], [8], [7], [7], [6, 6], [9], [6, 6], [4, 4, 4], [7], [], [5, 5], [], [9], [], [7], [5, 7], [9], [8], [8], [8], [9], [8], [8], [9], [], [9], [5, 7], [7], [6, 6], [9], [5, 7], [4, 7]]
[[7], [4, 6], [7], [7], [7], [5, 5], [7], [8], [7], [8], [8], [7], [6], [8], [9], [9], [8], [5, 5], [7], [7], [9], [8], [8], [9], [7], [6], [8], [9], [5, 5], [6], [7], [9], [7], [8], [9], [9], [4, 6], [7], [6], [9], [8], [4, 4]]
[[7], [6], [7], [7], [7], [7], [6], [9], [5, 5], [6], [8], [9], [6], [9], [8], [4, 4], [8], [6], [9], [9], [7], [8], [7], [5, 5], [8], [5, 5], [7], [4, 4], [7], [8], [9], [7], [8], [8], [6], [9], [8], [9], [9], [7], [8], [7], [7]]
[[7], [7], [7], [7], [4, 4], [8], [7], [9], [6], [8], [9], [7], [9], [8], [7], [8], [9], [7], [7], [], [5, 5], [5, 5], [6], [8], [5, 5], [9], [8], [9], [6], [9], [8], [7], [4, 6], [8], [8], [6], [9], [9], [7], [8], [7], [], [4, 6], [7]]
[[7], [7], [7], [7], [7], [8], [7], [9], [8], [8], [4, 4], [8], [6], [6], [7], [6], [7], [8], [], [], [8], [7], [9], [9], [9], [5, 5], [5, 5], [5, 5], [8], [6], [7], [9], [7], [8], [6], [9], [9], [8], [8], [9], [6], [4, 4], [7], [7], [9]]
[[7], [7], [7], [7], [4, 6], [7], [9], [9], [7], [9], [7], [7], [8], [9], [8], [], [6], [5, 5], [9], [7], [8], [9], [8], [8], [7], [4, 4], [6], [8], [], [9], [], [6], [6], [5, 5], [], [9], [7], [8], [7], [4, 6], [7], [8], [8], [8], [9], [5, 5]]
[[7], [7], [7], [9], [7], [7], [4, 6], [8], [7], [8], [9], [], [5, 5], [9], [8], [5, 5], [7], [7], [8], [], [9], [7], [8], [], [7], [4, 4], [9], [5, 5], [9], [8], [7], [6], [], [], [8], [8], [9], [6], [9], [7], [6], [8], [6], [9], [8], [4, 6], [7]]
[[7], [7], [7], [7], [7], [7], [9], [9], [4, 4], [8], [], [9], [5], [7], [], [4, 4], [8], [8], [7], [6], [9], [8], [7], [5], [9], [7], [8], [6], [7], [8], [6], [8], [5], [6], [8], [5], [5], [6], [9], [5], [7], [9], [9], [7], [6], [9], [8], [8]]
-EndAllocation

Instance: [[1], [333], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [222, 148, 112, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [167, 111, 84, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [4, 7, 8, 8, 9, 9]]
[[], [9, 9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9], [9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 8, 8, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 8, 8, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [9, 9, 9], [7, 8, 8]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 9, 9], [8, 8, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 8, 8], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7], [9, 9], []]
[[], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 8, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [], [9, 9], [7], [], [4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [7], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 4], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 9], [9], [8, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [8, 8], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [7, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [9], [4, 9], [8, 8], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 8], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [7], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 8], [4, 9], [8], [9], [4, 4, 4], [4, 9], [9], [7], [4, 9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [8], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [4, 7], [4, 4, 4], [8], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [4], [9], [8], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [8], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [8], [9], [], [], [], [9], [4, 8], [4, 4, 4], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [9], [7], [4, 4], [9], [9], [4], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9]]
[[], [9], [9], [4, 4], [9], [9], [8], [4], [8], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [9], [7], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [], [], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [4], [9], [7], [], [4, 4], [8], [9]]
[[9], [], [9], [9], [4, 4], [9], [9], [9], [4], [9], [], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [9], [], [9], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4]]
[[9], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4], [7], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [8], [9], [4, 4], [9], [9], [9], [9], [], [9], [8], [], [9], [], [4, 4], [4, 4], [], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [9], [9], [], [9], [], [9], [], [9], [4, 4], [], [9], [], [], [8], [9], [9], [9], [9], [9], [4, 4], [4]]
[[], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [8], [9], [9], [4, 4], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [8], [4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4], [], [9], [9], []]
-EndAllocation

Instance: [[1], [332], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [4, 7, 7, 8, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9], [8, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 7, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [9, 9, 9], [7, 7, 8]]
[[], [9, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 7, 9, 9], [8, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [], [7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [7, 7, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 7, 8], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [7, 7, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 7], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7, 7], [9], []]
[[], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 7, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8]]
[[], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8], [], [9, 9], [7, 7], [], [4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [7, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [7], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 4], [9, 9]]
[[9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [7, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [8, 9], [7, 9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [7, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 4, 8], [9], [7, 7], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 7], [4, 9], [4, 9], [4, 9], [4, 9], [8], [9], [4, 9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [7, 7], [9], [4, 9], [4, 9], [4, 4, 8], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [8], [4, 4, 4], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [7, 7], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [4, 4, 4], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [4, 9], [8], [9], [4, 4, 4], [4, 9], [9], [7, 7], [4, 9], [9]]
[[9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [7, 7], [9], [9], [9], [4, 8], [4, 4, 4], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [8], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 7], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [9], [7], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [4, 7], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [4], [9], [9], [9], [7], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [4], [9], [8], [], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [9], [], [], [], [7], [4, 8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [7], [4, 4], [9], [9], [4], [9], [9], [9], [9], [9], [7], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9]]
[[], [9], [9], [4, 4], [9], [9], [], [4], [8], [4, 4], [9], [9], [9], [9], [], [9], [4, 4], [9], [7], [9], [4, 4], [9], [9], [4, 4], [7], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [7], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [4], [9], [7], [], [4, 4], [9], [9]]
[[9], [], [7], [9], [4, 4], [9], [9], [9], [4], [9], [], [9], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [], [9], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [4, 4]]
[[9], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4], [7], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [8], [], [9], [], [7], [4, 4], [], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4], [9], [7], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [9], [9], [], [9], [], [7], [], [9], [4, 4], [], [9], [], [], [8], [9], [9], [9], [9], [9], [4, 4], [9]]
[[], [9], [], [7], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [8], [4, 4], [9], [9], [], [7], [9], [9], [9], [4, 4], [], [9], [9], []]
-EndAllocation

Instance: [[1], [331], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9], [6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [4, 6, 7, 8, 9, 9]]
[[], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 6, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [7, 8, 9, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9], [8, 9, 9, 9, 9], [6, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 9, 9, 9], [7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [], [4, 8, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [9, 9, 9], [6, 7, 8]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 6, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [7, 9, 9], [8, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [6, 9, 9], [8, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9], [], [7, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9], [9, 9, 9], [6], [9, 9, 9], [], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 8, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9]]
[[9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [6, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 8, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9], [8, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [6, 9, 9], [7, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 9, 9], [6, 9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [7, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [8, 9], [6, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [8, 9], [6, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [7, 9], [9], []]
[[], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [6, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [4, 8, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [9, 9], [], [9, 9], [9, 9], [8, 9], [4, 4, 4, 4, 4], [6, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8], [], [9, 9], [7, 9], [6], [4, 4, 4, 4], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [7, 8], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 6], [9, 9]]
[[9], [9], [9], [4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [6, 9], [4, 4, 9], [9], [9], [9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [9], [9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 9], [8, 9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [6, 9], [7, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 8], [9], [7, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [4, 9], [6, 9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [4, 4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [9], [6, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [7, 9], [9], [4, 9], [4, 9], [4, 9], [8], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [7, 9], [9], [9], [4, 9], [4, 8], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [9], [4, 9], [6, 9], [9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [8], [4, 4, 4], [4, 9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [6, 7], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [6], [9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [8], [9], [4, 4, 4], [4, 9], [9], [7], [4, 9], [9]]
[[9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 4, 4], [9], [7], [9], [9], [9], [4, 8], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [6], [9], [4, 9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [6, 7], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4]]
[[9], [4, 9], [4, 4, 4], [9], [9], [8], [7], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [6], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [9], [9], [7], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 6], [9], [4, 4, 4], [9], [], [9], [9], [9]]
[[9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [6], [9], [9], [9], [9], [], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [6], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [4, 7], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [9], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [6], [4, 4, 4], [4, 4, 4]]
[[9], [4, 4, 4], [9], [6], [4], [9], [8], [9], [9], [4, 4, 4], [7], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [], [9]]
[[9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [], [9], [], [], [], [9], [4, 8], [4, 6], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [4, 4], [9], [4, 4, 4], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [7], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [4, 6], [9], [9], [9], [8], [9], [], [9], [9], [4, 4], [4, 4], [9], [], [4, 4], [9]]
[[], [9], [9], [4, 4], [9], [9], [], [4], [8], [4, 4], [9], [9], [9], [9], [], [6], [4, 4], [9], [7], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4]]
[[9], [9], [], [9], [4, 4], [4, 4], [9], [6], [4, 4], [9], [9], [9], [], [4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [], [4, 4], [9], [9], [9], [9], [4], [9], [7], [], [4, 4], [9], [9]]
[[9], [], [7], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [9], [4, 6], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [], [9], [], [9], [9], [], [8], [9], [9], [4, 4], [4, 4], [9], [4, 4], [], [9], [9], [], [4, 4], [4, 4]]
[[9], [], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [7], [9], [4, 4], [9], [4, 4], [9], [4, 4], [6], [4, 4], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [], [9], [8], [], [9], [], [4, 4], [4], [], [9], [9]]
[[9], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4], [9], [7], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [], [9], [9], [], [9], [], [9], [], [9], [4, 4], [], [9], [], [], [8], [9], [9], [9], [9], [6], [4, 4], [9]]
[[], [9], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [4], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [], [9], [9], [8], [4, 4], [9], [9], [], [7], [9], [9], [9], [4, 4], [], [9], [9], [6]]
-EndAllocation

Instance: [[1], [330], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,48. UB Alg: [220, 146, 110, 88, 73, 64, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [165, 110, 83, 66, 55, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]]
[[], [9], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 9, 9], [8, 8, 9, 9, 9], [9], [4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [8, 8, 9, 9], [9, 9, 9], [4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [9, 9, 9], [8, 8, 9], [9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [8, 8, 9], [4, 4, 4, 4, 4, 4], [9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9], [9, 9, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 9, 9], [4, 4, 8, 8], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [4, 8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [8, 8], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], []]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4], [], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], []]
[[9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9]]
[[9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [8, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9]]
[[9], [4, 9], [4, 9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [8, 8], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [9]]
[[9], [9], [9], [4, 8], [9], [4, 4, 4], [4, 9], [8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [9], [8], [9], [9], [4, 9], [9], [4, 8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9]]
[[9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [8], [4, 4, 4], [9], [4, 9], [9]]
[[9], [9], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [8], [8], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9]]
[[8], [4, 8], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [9], [4, 8], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [4, 4], [9], [9], [9], [8], [9], [4, 4, 4], [], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [4], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 8], [9], [], [9], [9], [], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [], [9], [], [9], [9], [9], [4, 4, 4], [4, 4, 4], [], [9], [4, 8], [9], [9], [9], [9], [9], [], [9]]
[[], [9], [9], [], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [9], [9], [4, 4], [4, 4, 4], [8], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [4, 8], [4, 8], [9], [4, 4, 4], [9], [9], [], [9], [4, 4, 4], [9]]
[[9], [9], [9], [4, 4], [], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [8], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [4, 4], [9], [4, 4], [9], [9]]
[[9], [9], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [8], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [], [4, 4], [], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [8], [9], [9], [9]]
[[], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [8], [], [9], [9], [9], [8], [9], [4, 4], [4, 4], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [9], [], [9], [9], [], [4, 4]]
[[9], [4, 4], [4, 4], [9], [], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [8], [9], [], [], [9], [9], [4, 4], [9], [], [4, 4], [9], [9], [8], [4, 4], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9]]
[[9], [9], [], [], [9], [4, 4], [9], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [8], [4, 4], [4, 4], [9], [4, 4], [], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [], [9], [9], [], [], [9], [9], [8], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [8], [4, 4], [], [4, 4], [9], [], [4, 4], [], [], [], [9], [9], [], [9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [4, 4]]
[[9], [], [8], [4, 4], [], [9], [9], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [], [9], [], [9], [8], [4, 4], [9], [9], [9], [9], [], [9], []]
-EndAllocation

Instance: [[1], [343], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [229, 153, 114, 92, 77, 65, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [172, 115, 86, 69, 58, 49, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4], [8, 8, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [8, 8, 8, 9, 9]]
[[], [9, 9, 9, 9], [9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8, 9], [9, 9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [], [4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9], [9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 8, 8, 8], [4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [8, 8, 8], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [8, 8, 8], [], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 8], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 9], [9, 9], [9, 9], [9, 9], [9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [8, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [9, 9], [], [8, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [8, 8], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [9], [4], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 8], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [8, 9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 8], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [4, 4, 8], [9], [4, 9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9]]
[[9], [4, 9], [9], [9], [4, 4, 8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [8, 8]]
[[8], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 8], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [8], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [8], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [8], [4, 9], [4, 9], [9], [9], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [4, 8], [8], [4, 9], [9], [9], [8], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9]]
[[9], [9], [9], [8], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [4], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9]]
[[], [], [], [8], [9], [4, 4, 4], [9], [9], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9]]
[[9], [], [9], [4, 8], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [], [9], [9], [9], [9], [9], [4, 4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4], [9], [8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [], [4], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [8], [], [9], [9], [], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], []]
[[9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [4], [9], [8], [9], [4, 4], [9], [], [9], [9], [4, 4], [], [8], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4], [9], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4], [], [9], [9], [], [8]]
[[], [8], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4], [9], [9], [9], [8], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [8]]
[[], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [4], [9], [], [8], [4, 4], [8], [], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [8], [], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [9], [4, 4], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [], [4, 4], [], [4, 4], [9], [4], [9], [8], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [8], [9], [9], [], [], [], [4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [], [4], [4, 4], [], [], [4, 4], [8], [], [9], [], [], [9], [9], [8], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [], [], [9], [4, 4], [8], [9], [9], [4, 4], [4], [9], [8], [9], [9], [], [9], [9], [9], [], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [8], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [], []]
-EndAllocation

Instance: [[1], [342], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 42, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 32, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9], [4, 7], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 8, 8], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4], [4, 8, 8, 9, 9, 9], [4, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [], [8, 8, 9, 9], [7, 9, 9, 9], [4, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 9, 9], [9], [4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [], [4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [7, 8, 8], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 9], [9, 9]]
[[], [], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 8], [4, 4], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9]]
[[], [8, 8], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9], [9, 9], [4, 9, 9], [9, 9], [8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [], [4, 4, 4, 4, 7], [9, 9], [4, 4, 4, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [4, 8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 7, 9], [9, 9], [9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [7], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [], [4, 4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [8, 8], [9, 9], [], [4, 4, 4, 4], [9, 9], [7, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [9], [4], [], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 7], [9, 9], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [7, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [4, 4, 9]]
[[9], [9], [9], [8, 8], [9], [7, 9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [8, 8], [7, 9], [9], [4, 9], [4, 9], [4, 9]]
[[9], [4, 9], [8, 8], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [7, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [7, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [9], [8, 8]]
[[8], [4, 9], [4, 7], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9]]
[[9], [9], [4, 9], [4, 8], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 7], [4, 9], [4, 9], [9]]
[[9], [9], [9], [9], [8], [9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 9], [4, 4, 4], [9], [9], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [9], [4, 7]]
[[9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 9], [7], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [4, 4, 4], [4, 4, 4], [4, 9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [9], [8], [9], [8], [4, 4, 4], [], [9], [9], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [], [9], [9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[7], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9], [8], [9], [4], [], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9]]
[[], [], [], [9], [9], [4, 4, 4], [9], [7], [4, 8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9]]
[[9], [], [9], [4, 8], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [], [9], [9], [4, 7], [9], [9], [4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [8], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [7], [9], [9], [], [], [9], [9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4], [9], [8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [], [7], [9], [9], [], [4], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [9], [], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], []]
[[9], [9], [4, 4], [], [9], [9], [9], [4, 4], [9], [4], [9], [9], [9], [4, 4], [9], [], [9], [7], [4, 4], [], [8], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [7], [4], [9], [8], [4, 4], [4, 4], [4, 4], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [], [8]]
[[], [9], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4], [9], [9], [9], [8], [4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [9], [4, 4], [7], [4, 4], [], [9], [9], [9], [8]]
[[], [4, 4], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [9], [4, 4], [9], [9], [9], [4], [9], [], [9], [4, 4], [8], [], [9], [9], [9], [], [4, 4], [9], [9], [9], [9], [9], [9], [8], [], [4, 4], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [7], [9], [4, 4], [9], [8], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [], [4, 4], [9], [4, 4], [], [4, 4], [9], [4], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [8], [9], [9], [], [], [], [4, 4], [9], [9], [9], [9], [9]]
[[9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [], [4, 4], [9], [], [4], [4, 4], [], [], [4, 4], [8], [], [9], [], [], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [7], [8], [9], [9], [9], [9], [4, 4], [9], [4, 4]]
[[9], [9], [4, 4], [], [], [9], [4, 4], [8], [9], [9], [4, 4], [4], [9], [9], [9], [9], [], [7], [9], [9], [], [4, 4], [9], [9], [], [9], [4, 4], [9], [9], [9], [8], [9], [4, 4], [9], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [], []]
-EndAllocation

Instance: [[1], [341], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 41, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 31, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [4, 4, 4, 9, 9, 9, 9, 9]]
[[], [8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9], [8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 9], [9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 7], [9, 9, 9, 9], [4, 9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9], [9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 7], [], [9, 9, 9, 9], [4, 4, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [4, 4, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [7, 9, 9, 9], [9, 9], [8, 8, 8], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9], [4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 7, 9], [9, 9, 9], [4, 4, 4, 9, 9], [9, 9, 9], [8, 8, 8, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 7], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [9], [8, 8, 8], [9, 9, 9], [4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [7, 9, 9], [9, 9, 9], [4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9], [8, 8, 8], [9, 9, 9], [4, 4, 4, 4, 4, 9], [4, 4, 4, 4, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4], [], [8, 8, 8], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [], [9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [4, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [7, 9], [8, 8, 8], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9]]
[[], [4], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9], [4, 4, 4, 9], [9, 9], [7], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9]]
[[], [4, 7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [4, 9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9], [4, 4, 4, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [4, 4], [9, 9], [8, 8], [7, 8], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 8], [9, 9], [9, 9], [], [9, 9], [4, 7, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [4, 4, 9], [4, 4, 4], [9, 9]]
[[], [9, 9], [8], [7, 9], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [4, 4, 9]]
[[], [9, 9], [9, 9], [8, 8], [9], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [7, 9], [9, 9], [9, 9], [], [], [4, 4, 4], [9, 9], [4, 4, 4], [8, 9], [9, 9], [9, 9], [4, 9], [9, 9]]
[[], [4, 4, 4], [8], [9, 9], [9, 9], [8, 8], [9, 9], [], [], [9, 9], [4, 4, 4], [9], [4, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [7], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [9], [4, 4, 4, 4], [4, 4, 9], [8, 9], [9], [9], [8, 9], [7, 9], [9]]
[[9], [9], [8, 8], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 7], [9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [8, 8], [9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 8], [9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [7, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9]]
[[9], [9], [9], [8, 8], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [7, 9], [8], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [4, 4, 4, 4], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 8], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 8], [9], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 7], [4, 9]]
[[9], [4, 9], [8], [9], [4, 9], [4, 8], [9], [7], [4, 8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [9], [4, 9], [9], [9]]
[[9], [4, 4, 4], [4, 9], [8], [4, 9], [9], [4, 9], [4, 4, 4], [9], [7], [4, 9], [8], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9], [9], [8], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [9], [9], [4, 9]]
[[9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [4, 9], [8], [4, 9], [4, 4, 4], [4, 9], [7], [9], [9], [4, 9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [4, 9]]
[[9], [8], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 7], [4, 9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [4, 8], [9], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9]]
[[9], [8], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [8], [9], [4, 9], [9], [7], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9]]
[[8], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4], [7], [9], [9], [8], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [], [4], [9], [4, 4, 4], [9], [9], [7], [9], [8], [9], [8], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [], [8], [9], [9], [4], [9], [9], [9], [4, 4, 4], [8], [9], [9], [], [9], [7], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [8], [9], [], [9], [9], [], [9], [9], [7], [8], [9], [9], [], [4, 4, 4], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [4]]
[[9], [], [9], [9], [9], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4, 4], [4, 4, 4], [9], [], [7], [4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [9], [9], [], [8], [9], [9], [9], [9], [], [9]]
[[9], [4, 4], [9], [4, 4], [9], [9], [8], [4, 4], [9], [9], [7], [4, 4], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [], [4], [9], [9], [9], [9], [9], [9], [8], [4, 4], [9], [4, 4], [9], [], [], [9], [4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [7], [], [4, 4], [8], [4, 4], [4], [9], [4, 4], [4, 4], [], [8], [9], [9], [9], [9], [9], [4], [4, 4], [4, 4], [], [9], [8], [9], [9], [9], [9], [4, 4], [9], [9], [4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [], [9], [], [9], [4, 4], [], [8], [9], [4, 4], [7], [9], [8], [4, 4], [4, 4], [4, 4], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [4], [4, 4], [], [9], [9], [9], [4, 4]]
[[], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [4, 4], [9], [9], [9], [8], [4], [9], [8], [4, 4], [9], [9], [4], [4, 4], [9], [], [], [9], [9], [9], [8], [9], [9], [4, 4], [7], [9], [9], [9], [4, 4], [9], [9], [4], [9], [9], [4, 4]]
[[9], [9], [4, 4], [8], [9], [7], [9], [9], [9], [9], [9], [9], [4], [9], [], [4, 4], [8], [], [8], [4, 4], [9], [9], [4, 4], [9], [4, 4], [], [9], [9], [9], [], [9], [9], [4, 4], [], [4], [9], [9], [4], [9], [], [9], [9], [9], [4, 4], [4, 4], [9], [9]]
[[], [4, 4], [9], [9], [9], [], [9], [4, 4], [9], [9], [9], [], [], [4], [9], [4], [9], [4, 4], [9], [7], [9], [9], [9], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [8], [], [9], [9], [9], [8], [4, 4], [4], [9], [9], [9], [], [4, 4], [9], [9], [9], []]
[[9], [], [7], [], [], [9], [9], [8], [4, 4], [9], [9], [4], [], [], [9], [9], [9], [4, 4], [9], [8], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [], [8], [9], [9], [], [9], [4, 4], [9], [4, 4], [4, 4], [9], [4, 4]]
-EndAllocation

Instance: [[1], [340], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [226, 152, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [170, 114, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9]]
[[7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9]]
[[], [6, 6, 6, 6, 6, 6, 6, 9, 9], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9], [7, 7, 7, 7, 7, 7, 8], [5, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[], [9, 9], [5, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [5, 5, 5, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 7, 7, 7, 7, 7, 7]]
[[], [9, 9], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 9], [8, 8, 8], [8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6]]
[[], [9, 9], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9], [6, 7, 7, 7, 7, 7], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8]]
[[], [7, 7, 7, 7, 7], [], [9, 9, 9, 9], [5, 6, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5], [7, 9, 9, 9]]
[[], [9, 9, 9, 9], [6, 9, 9, 9], [5, 5, 5, 9, 9], [6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8], [5, 5, 5, 5, 5, 7], [8, 8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [], [5, 5, 5, 5, 5, 5, 5]]
[[], [9, 9, 9], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9], [8, 8, 8, 8], [5, 5, 5, 7, 7], [5, 9, 9, 9], [5, 9, 9, 9], [5, 5, 5, 5], [6, 6, 9, 9], [7, 7, 7, 7], [5, 5, 5, 5, 5, 5]]
[[], [9, 9, 9], [5, 5, 5, 8], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 5, 5], [9, 9, 9], [6, 6, 8, 8], [9], [], [5, 5, 5, 5, 5, 5], [8, 8, 8], [7, 7, 8, 8], [6, 6, 6, 6, 6]]
[[], [9, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 6], [], [6, 8, 8], [6, 6, 6, 9], [9, 9, 9], [9, 9, 9], [6, 6, 7, 7], [9, 9, 9], [8, 8, 8], [5, 8, 8, 8], [], [7, 7, 7, 7], [5, 5, 5, 5, 5]]
[[], [9], [6, 9, 9], [8, 9, 9], [5, 5, 5, 5, 5], [5, 9, 9], [7, 9, 9], [7, 7, 7], [6, 6, 6, 6], [6, 6], [8, 8, 8], [7, 9, 9], [7, 9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5], [8], [8, 8, 8]]
[[], [8, 8], [9, 9], [6, 6, 6, 6], [9, 9], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [8, 8, 8], [9, 9], [9, 9], [7, 7, 7], [7, 7, 7], [8, 8, 8], [5, 5, 5, 5, 5], [9, 9], [9, 9], [6, 6, 6], [9]]
[[], [7, 7, 7], [9, 9], [8, 8, 8], [6, 6, 6, 6], [8, 8], [5, 5, 5, 5], [5, 5, 5, 5], [9, 9], [9, 9], [8, 8, 8], [5, 5, 5, 9], [], [9, 9], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6], [5, 5, 5, 5]]
[[], [8, 9], [5, 5, 5, 5], [6, 6, 6], [5, 5, 5, 5], [7, 7, 7], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [5, 5, 5, 5], [9, 9], [6, 8, 8], [7, 7, 7], [5, 5, 5], [9, 9], [8, 8], [8], [6, 6, 6]]
[[], [9, 9], [9, 9], [6, 9], [5, 5, 5], [8, 8], [7, 7, 7], [5, 5, 5, 5], [8, 8], [9, 9], [8, 8], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [9, 9], [9, 9], [9, 9], [5, 5, 5, 5], [], [7, 7, 7], [8, 8]]
[[], [9, 9], [7, 7, 7], [], [9, 9], [9, 9], [6, 6, 6], [8, 8], [5, 5, 5, 5], [9, 9], [5, 5, 5, 5], [6, 6, 6], [9, 9], [9, 9], [6, 9], [], [8, 8], [8, 8], [8, 8], [5, 5, 5], [7, 7, 7], [5, 5, 5, 5]]
[[], [8, 8], [5, 5, 5, 5], [9, 9], [9, 9], [7, 7], [5, 5, 5, 5], [], [9, 9], [], [6, 9], [8, 8], [5, 5, 5], [9, 9], [7, 7], [9, 9], [8, 8], [8, 8], [6, 6, 6], [6, 6, 6], [7, 7], [9, 9], [5, 5, 5, 5]]
[[], [9, 9], [8, 8], [7, 7], [6, 6, 6], [8, 8], [5, 5, 5, 5], [6, 6, 6], [], [9, 9], [9, 9], [8, 8], [9, 9], [], [9, 9], [5, 5, 5, 5], [6, 9], [8, 8], [5, 5, 5, 5], [5, 5, 5], [9, 9], [7, 7], [], [7, 7]]
[[], [6, 6, 6], [9, 9], [], [5, 5, 6], [5, 5, 5], [7, 7], [], [5, 5, 5], [5, 5, 5], [6, 6, 6], [8, 8], [9, 9], [5], [8, 8], [8, 8], [7, 7], [9, 9], [9, 9], [5, 5, 5], [8, 8], [7, 7], [9, 9], [9], [9, 9]]
[[], [5, 5, 5], [5, 5, 5], [8, 8], [], [9, 9], [6, 6, 6], [7, 7], [], [9, 9], [], [5, 5, 5], [6, 7], [8, 8], [7, 7], [8, 8], [9, 9], [9, 9], [5, 5, 5], [9, 9], [], [9, 9], [8, 8], [7, 9], [6, 6, 6], [5, 5, 5]]
[[9], [6, 9], [9], [9], [5, 5, 5], [8, 9], [9], [9], [8, 9], [6, 6], [6, 6], [5, 9], [7, 7], [8, 8], [7, 7], [8, 8], [7, 7], [5, 5, 5], [5, 5, 5], [6, 6], [9], [8, 8], [9], [9], [5, 5], [5, 5, 5], [9]]
[[9], [9], [6, 6], [6, 7], [9], [5, 5, 5], [5, 5, 5], [8, 8], [9], [6, 6], [9], [9], [9], [9], [5, 5, 5], [8, 8], [9], [8, 8], [6, 6], [9], [7, 7], [7, 9], [5, 5, 5], [8, 8], [5, 5, 5], [9], [9], [7, 7]]
[[], [9], [9], [], [7, 7], [5, 5, 5], [9], [9], [9], [9], [9], [5, 5, 5], [5, 5, 5], [8, 8], [8, 8], [5, 5, 5], [8, 8], [7, 7], [6, 6], [9], [6, 9], [5, 5, 5], [8, 8], [6, 9], [7, 7], [9], [6, 9], [6, 6], [9]]
[[9], [9], [6, 6], [9], [8, 8], [5, 5, 5], [8, 8], [9], [9], [7, 7], [6, 6], [], [9], [9], [9], [8, 8], [7, 7], [5, 5], [5, 5, 5], [9], [5, 5, 5], [], [9], [5, 9], [8, 8], [7, 7], [6, 6], [9], [6, 9], [5, 5, 5]]
[[9], [8], [5, 9], [6, 6], [5, 5], [5, 9], [5, 5], [5, 9], [9], [5, 9], [7, 7], [9], [8], [6, 6], [7, 7], [9], [9], [5, 9], [5, 9], [9], [9], [8], [8], [5, 5], [8], [6, 8], [8], [5, 5], [6, 6], [5, 8], [7, 7]]
[[9], [5, 5], [6, 6], [6, 8], [7, 7], [5, 5], [9], [6, 6], [8], [9], [5, 9], [5, 5], [7, 7], [9], [6, 6], [9], [9], [5, 9], [8], [8], [9], [9], [5, 9], [5, 5], [5, 5], [8], [8], [9], [8], [5, 8], [7, 7], [5, 9]]
[[8], [8], [5, 9], [5, 5], [9], [6, 6], [5, 5], [9], [5, 5], [8], [6, 6], [8], [9], [5, 5], [8], [8], [9], [9], [5, 5], [9], [9], [9], [6, 6], [6, 8], [9], [9], [7, 7], [7, 7], [5, 8], [7, 7], [5, 5], [9], [5, 9]]
[[7], [5, 8], [6, 6], [5, 8], [9], [5, 8], [9], [5, 8], [9], [5, 8], [9], [9], [5, 5], [8], [5, 5], [8], [9], [5, 7], [9], [6, 6], [6, 6], [9], [9], [5, 5], [9], [8], [6, 7], [7], [9], [5, 7], [9], [9], [7], [5, 5]]
[[9], [9], [6], [5, 5], [5, 7], [9], [9], [9], [9], [9], [5, 5], [5, 8], [5, 8], [8], [5, 8], [9], [], [8], [5, 8], [9], [6, 6], [7], [9], [5, 8], [9], [7], [5, 8], [5, 7], [5, 7], [9], [6, 6], [5, 5], [9], [6, 6], [7]]
[[8], [5, 5], [8], [5, 5], [9], [9], [9], [9], [7], [9], [6, 6], [9], [5, 5], [], [5, 7], [5, 8], [9], [9], [7], [9], [5, 7], [6, 6], [8], [8], [8], [9], [8], [9], [5, 8], [9], [5, 7], [5, 5], [5, 5], [6, 7], [6, 6], [9]]
[[8], [5, 5], [6, 6], [9], [9], [9], [8], [8], [7], [7], [6, 6], [9], [9], [8], [7], [5, 7], [9], [8], [7], [9], [5, 5], [9], [5, 8], [5, 5], [5, 5], [9], [5, 7], [9], [9], [5, 5], [5, 5], [8], [9], [6], [6, 6], [8], [9]]
[[8], [9], [6, 6], [9], [5, 5], [7], [9], [9], [6, 6], [7], [6, 6], [8], [5, 7], [9], [8], [9], [5, 5], [8], [8], [8], [5, 5], [9], [9], [8], [6], [8], [9], [5, 5], [5, 5], [9], [9], [9], [9], [7], [7], [5, 5], [7], [5, 5]]
[[9], [9], [7], [8], [9], [9], [5, 5], [9], [9], [9], [8], [8], [7], [8], [9], [5, 5], [6, 6], [8], [9], [9], [5], [9], [8], [7], [8], [6], [7], [5, 5], [9], [5, 5], [5, 5], [7], [9], [6, 6], [7], [5, 5], [6, 6], [5, 5], [8]]
[[8], [5, 5], [9], [6, 6], [9], [7], [9], [6, 6], [7], [5, 5], [8], [5, 5], [], [9], [], [6, 6], [6], [5, 7], [8], [9], [7], [5, 5], [9], [9], [9], [8], [8], [9], [9], [9], [7], [8], [9], [5, 5], [8], [8], [7], [5, 5], [5, 5], [9]]
[[8], [5, 5], [5, 5], [7], [8], [7], [9], [9], [6, 6], [], [5, 7], [9], [6], [5, 5], [5, 5], [9], [], [8], [9], [8], [5], [5, 7], [9], [6, 6], [], [9], [7], [8], [9], [5, 5], [5, 5], [6, 6], [7], [9], [8], [8], [9], [9], [9], [9], [8]]
[[9], [9], [], [8], [], [9], [7], [8], [7], [5, 5], [5], [6], [5, 5], [8], [6, 6], [8], [9], [7], [8], [7], [8], [5, 5], [6, 6], [8], [5, 5], [8], [9], [5, 5], [9], [9], [9], [7], [9], [9], [7], [6, 6], [5, 5], [9], [9], [5, 5], [9], []]
[[8], [5, 5], [9], [9], [6], [6], [5], [], [8], [6], [6], [7], [5, 5], [7], [8], [9], [8], [5, 5], [9], [7], [8], [5, 5], [7], [9], [8], [9], [5, 5], [8], [7], [9], [9], [7], [9], [6], [6], [9], [8], [5, 5], [9], [9], [9], [6], [5, 5]]
[[9], [6], [6], [9], [8], [9], [6], [9], [5], [9], [9], [6], [8], [9], [6], [9], [8], [7], [9], [9], [8], [5, 5], [8], [5, 5], [5, 5], [8], [5, 5], [8], [], [9], [7], [], [6], [9], [5, 5], [5, 5], [7], [8], [7], [7], [9], [5, 5], [6], [7]]
[[7], [9], [8], [5, 5], [9], [5, 5], [9], [5, 5], [], [6], [9], [5, 5], [], [5, 5], [8], [9], [9], [5, 5], [9], [7], [7], [7], [8], [9], [5], [6], [6], [9], [], [6], [9], [6], [6], [9], [9], [5, 5], [8], [9], [7], [6], [7], [8], [8], [8], [8]]
[[9], [6], [7], [5, 5], [6], [8], [9], [], [9], [9], [5, 5], [], [6], [8], [6], [8], [8], [9], [8], [9], [], [7], [9], [6], [5, 5], [7], [8], [9], [7], [5, 5], [7], [8], [], [5], [6], [9], [9], [7], [8], [9], [9], [5, 5], [5, 5], [6], [9], [5, 5]]
[[6], [9], [5, 5], [6], [7], [5, 5], [5, 5], [9], [], [5, 5], [8], [8], [9], [9], [6], [8], [5, 5], [], [7], [9], [5, 5], [], [9], [5, 5], [9], [5], [7], [8], [9], [9], [9], [6], [7], [8], [6], [8], [7], [9], [9], [], [8], [6], [6], [], [9], [7], [8]]
[[9], [5, 5], [6], [8], [9], [8], [7], [8], [6], [8], [6], [7], [], [9], [5, 5], [8], [9], [9], [], [5, 5], [], [8], [5, 5], [7], [5, 5], [7], [9], [7], [9], [6], [9], [6], [9], [5, 5], [5, 5], [9], [8], [6], [6], [8], [], [], [7], [9], [9], [9], [], [5]]
[[8], [8], [5], [8], [6], [8], [9], [7], [5], [5], [8], [5], [9], [5], [5], [7], [5], [9], [5], [7], [7], [5], [9], [6], [8], [9], [9], [9], [6], [6], [9], [5], [5], [6], [9], [6], [8], [9], [9], [8], [6], [7], [9], [5], [5], [5], [5], [7], [9]]
-EndAllocation

Instance: [[1], [339], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [226, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [170, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [8, 8, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [], [4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [], []]
[[], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 8, 8], [], [4, 4, 4], [9, 9, 9]]
[[9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 9]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9]]
[[], [4, 9, 9], [9, 9], [4, 4, 8, 8], [4, 9, 9], [4, 4, 4, 4, 4, 4], [], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 9, 9], [4, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9], []]
[[], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [], [], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9], [9, 9], [], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9]]
[[], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [4, 4, 4, 4], [9, 9], [8, 8], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [], [], [9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [8, 8], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [9, 9], [9, 9], [9, 9], [], [4, 4, 4, 4]]
[[9], [9], [9], [9], [9], [8, 9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9]]
[[9], [4, 4, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [8, 8], [9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [9], [9], [4, 9], [9]]
[[9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [8, 8], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [4, 8], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [4, 9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [9], [9], [9]]
[[9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [4, 8], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [8], [4, 9], [4, 9], [4, 9]]
[[9], [4, 8], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 4, 4], [4, 9], [4, 4, 4], [8], [9], [9], [9]]
[[9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 8], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [4, 4, 4]]
[[9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [9], [8], [9], [4, 9], [9], [4, 4, 4]]
[[9], [9], [4, 8], [4, 4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4, 4], [4, 9], [9], [4, 4, 4], [9], [8], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4]]
[[9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4], [8], [], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [], [9], [4, 4, 4], [], [9], [9], [4, 4, 4], [4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [8], [], [9], [4, 8]]
[[9], [], [9], [9], [9], [9], [9], [9], [], [9], [9], [], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [4, 4], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [4, 4, 4], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [], [9], [4, 4, 4], [8], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4, 4], [9], [8], [], [9], [9], [9], [9], []]
[[9], [9], [], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [9], [4, 4, 4], [4, 8], [9], [9], [], [9], [9], [], [], [9], [4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], []]
[[9], [4, 4], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [4, 4], [9], [8], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [4, 4], [], [9], [9], [], [9], [9], [9], [], [9], [9]]
[[9], [9], [4, 4], [9], [8], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [8], [4, 4], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [], [9], [9], [9], [], [4, 4]]
[[9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [], [], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [9], [9], [], [9], [9], [9], [9], [4, 4], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [8], [9], [8], [9]]
[[9], [9], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [8], [9], [], [9], [4, 4], [9], [4, 4], [], [4, 4], [4, 4], [4, 4], [9], [], [9], [], [9], [9], [4, 4], [8], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [9], [4, 4]]
[[9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [9], [8], [9], [9], [9], [9], [8], [4, 4], [], [], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [4, 4], [], [9], [], [9], [], [4, 4], [4, 4], [9]]
[[9], [], [], [9], [9], [], [4, 4], [8], [4, 4], [], [4, 4], [9], [9], [9], [9], [8], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [], [4, 4], [], [9], [], [9], [9], [9], [4, 4], [9]]
[[8], [9], [9], [9], [], [], [9], [], [], [], [8], [9], [4, 4], [9], [9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [9], [], [9], [9], [9], [4, 4], [9], [9], [], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [], [4, 4], [4, 4], [], [9], [9]]
-EndAllocation

Instance: [[1], [338], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[2, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
[[1, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 8, 8]]
[[1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [], [7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[1, 2, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[2, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8, 8, 8], [1, 5, 5, 8], [9], [5, 5, 5, 5, 5, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [2, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9], [], [6, 7, 8], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[1, 2, 5, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [6, 6, 8, 8], [9, 9, 9, 9]]
[[1, 2, 7, 7, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6], [9, 9], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 8, 8, 8]]
[[1, 2, 6, 6, 6, 6], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9], [7, 7, 7, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9], [], [7, 7, 7, 7], [8, 8, 8]]
[[1, 2, 6, 6, 6, 6], [9, 9, 9, 9], [], [9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6], [5, 8, 8, 8, 8], [7, 7, 7, 7], [7, 7, 7, 7, 7]]
[[1, 2, 6, 6, 6, 6, 6], [7, 7, 7, 7], [], [5, 5, 5, 5, 5, 5], [8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [7, 9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [5, 9, 9, 9], [5], [8, 8, 8, 8]]
[[1, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [], [8, 8, 8, 8], [2, 5, 5, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6]]
[[6, 6, 6, 6, 6], [], [8, 8, 8], [7, 7, 7, 7], [], [5, 5, 7, 8], [5, 5, 5, 5, 5, 5], [9, 9, 9], [7, 7, 7, 7], [1, 2, 9, 9, 9], [8, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [9]]
[[1, 2, 8, 8, 8], [8, 8], [6, 6, 6, 6], [6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [7, 7, 7, 7], [5, 5, 5, 6, 6], [7, 7, 7, 7], [7], [9, 9, 9], [5, 5, 5, 5, 5]]
[[1, 5, 5, 5], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [8, 8], [2, 7, 7, 7], [7, 9, 9], [6, 6, 6, 7], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 7], [9, 9], [], [7, 7, 7], [8, 8, 8]]
[[7, 9, 9], [6, 6, 6, 6], [9, 9], [8], [8], [7, 7, 7], [8], [5, 9, 9], [7, 7, 8], [1, 2, 5, 7, 7], [5, 9, 9], [6, 6, 6, 6], [6, 6, 8], [8], [9, 9], [7, 9, 9], [5, 5, 5, 5, 5], [8, 8]]
[[1, 6, 6, 9], [7, 7, 7], [9, 9], [5, 5, 5, 5], [9, 9], [5, 5, 5, 5], [9, 9], [7, 7, 7], [2, 9, 9], [7, 7, 7], [8, 8], [9, 9], [6, 6, 6, 6], [9], [8, 8, 8], [], [8, 8, 8], [], [6, 6, 6, 6]]
[[6, 8, 8], [], [9, 9], [9, 9], [], [8, 8], [9, 9], [7, 7, 7], [8, 8], [1, 2, 6, 6, 6], [6, 6, 6], [7, 7, 7], [5, 5, 5, 5], [5, 5, 5, 5], [9, 9], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [9, 9]]
[[1, 2, 6], [5, 5, 5, 5], [9, 9], [9, 9], [6, 6, 6], [8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [8, 8], [8, 8], [9, 9], [7, 7, 7], [7, 7, 7], [6, 6, 6], [9, 9], [9, 9], [5, 5, 5, 5], [], []]
[[1, 2, 6], [8, 8], [9, 9], [7, 7, 7], [8, 8], [8, 8], [9, 9], [], [9, 9], [5, 5, 5, 5], [6, 6, 6], [9, 9], [9, 9], [7, 7, 7], [6, 6, 6], [6, 6, 6], [9, 9], [5, 5, 5, 5], [8, 8], [], [], [7, 7, 7]]
[[1, 6], [7, 7], [7], [], [9, 9], [8, 8], [8, 8], [9, 9], [8, 8], [7, 7], [6, 6, 6], [5, 5, 5, 5], [9, 9], [9, 9], [7, 7], [9, 9], [6, 6, 6], [7, 7], [2, 6, 6, 6], [9, 9], [], [5, 5, 5, 5], [8, 8]]
[[1, 2, 6, 6], [], [7, 7], [], [6], [9, 9], [8, 8], [9, 9], [9, 9], [8, 8], [8, 8], [5, 5, 7], [5, 5], [9, 9], [9, 9], [5, 5, 5, 5], [7, 7], [8, 8], [6, 6, 6], [9, 9], [6], [7, 7], [7, 7], [6, 6, 6]]
[[1, 2, 6], [8, 8], [8, 8], [6, 6, 6], [9, 9], [], [5, 5, 5], [8, 8], [9, 9], [6, 6, 6], [7, 7], [7, 7], [], [9, 9], [7, 7], [9, 9], [8, 8], [6, 6, 6], [], [9, 9], [5, 5, 5], [7, 7], [9, 9], [], [5, 5, 7]]
[[1, 5, 5, 5], [9], [2, 6, 7], [5, 6, 6], [8, 8], [7, 7], [9], [8, 9], [7, 9], [7, 7], [9], [5, 9], [7, 9], [9], [], [9], [9], [7, 7], [8, 8], [8, 9], [5, 5, 5], [8, 8], [6, 6], [6, 6], [6, 6], [6, 9]]
[[2, 6, 9], [5, 6, 6], [9], [6, 6], [5, 5, 5], [5, 9], [6, 6], [7, 7], [9], [7, 7], [8, 8], [9], [8, 8], [8, 8], [9], [], [9], [9], [7, 7], [6, 9], [7, 9], [9], [5, 5, 5], [8, 8], [1, 6, 6], [7, 7], [9]]
[[9], [6, 6], [6, 6], [7, 9], [], [7, 7], [5, 6, 6], [9], [2, 9], [], [5, 5, 5], [8, 9], [5, 9], [7, 7], [8, 9], [8, 8], [5, 5], [7, 7], [1], [8, 8], [6, 9], [6, 6], [6, 9], [9], [7, 7], [8, 8], [9], [5, 9]]
[[1, 6, 6], [6, 6], [], [5, 5, 5], [6, 6], [], [8, 8], [9], [7, 7], [2], [9], [9], [8, 8], [5, 9], [9], [5, 5, 5], [7, 7], [7, 9], [7, 7], [6, 6], [9], [9], [8, 8], [7, 9], [6, 6], [8, 8], [9], [7, 9], [5, 9]]
[[6, 6], [6, 6], [6, 6], [8, 8], [], [7, 7], [6, 8], [9], [7, 7], [], [5, 5, 5], [8, 8], [], [9], [1, 6, 9], [2, 9], [7, 7], [5, 5, 5], [7, 7], [9], [5, 9], [9], [9], [9], [5, 8], [8, 8], [9], [7, 9], [6, 6], [9]]
[[2, 6, 6], [6, 6], [6, 6], [6, 8], [5, 8], [5, 9], [5, 9], [5, 9], [9], [7, 7], [1, 6, 6], [9], [8], [8], [8], [7, 7], [5, 9], [7, 7], [9], [9], [5], [9], [8], [9], [7, 7], [8], [9], [5], [5, 9], [6, 8], [7]]
[[1, 6, 6], [6, 6], [5, 9], [6, 6], [9], [9], [6, 6], [5, 5], [9], [7, 7], [7], [2, 8], [7, 7], [6, 6], [7, 7], [9], [8], [7, 7], [8], [8], [8], [5, 5], [9], [9], [5, 9], [9], [8], [9], [5, 8], [8], [9], [5, 9]]
[[1, 5, 8], [6, 6], [6, 6], [9], [5, 5], [5, 9], [7], [7, 7], [5, 8], [6, 6], [6, 6], [5, 9], [8], [], [9], [8], [8], [9], [7, 7], [9], [8], [6, 6], [9], [7, 7], [9], [5, 5], [9], [7, 7], [8], [9], [2, 9], [9], [8]]
[[6, 6], [6, 7], [6, 6], [9], [8], [8], [8], [6, 7], [9], [9], [8], [5, 8], [9], [5, 7], [9], [6, 7], [2, 8], [9], [9], [5, 5], [6, 7], [9], [9], [5, 5], [5, 8], [8], [9], [9], [7], [6, 6], [7], [7], [1, 5, 7], [9]]
[[1, 2, 8], [8], [6, 6], [9], [9], [5, 5], [9], [9], [6, 7], [9], [5, 7], [5, 8], [5, 8], [5, 7], [6, 6], [6], [8], [8], [9], [9], [7], [7], [6, 6], [9], [7], [6, 6], [9], [9], [9], [7], [8], [5, 7], [8], [9], [5, 7]]
[[1, 6, 6], [6, 6], [6, 6], [5, 7], [8], [7], [8], [9], [6, 6], [8], [8], [8], [5, 5], [9], [9], [8], [8], [5, 5], [9], [5, 5], [9], [9], [9], [9], [5, 8], [9], [6, 7], [7], [7], [7], [2, 9], [9], [9], [7], [6, 7], [7]]
[[1, 6, 6], [6, 6], [2, 6], [6, 6], [5, 8], [5, 8], [9], [9], [7], [7], [9], [9], [9], [7], [8], [8], [7], [9], [9], [9], [], [8], [5, 5], [9], [5, 5], [8], [7], [7], [9], [6, 6], [9], [5, 7], [6, 7], [8], [9], [7], [5, 8]]
[[6, 6], [6, 6], [5, 6], [6, 6], [8], [7], [9], [5, 7], [7], [7], [9], [5, 5], [8], [9], [9], [8], [5, 7], [9], [8], [8], [5, 5], [], [6, 6], [7], [9], [9], [7], [9], [5, 7], [8], [8], [7], [9], [6], [9], [8], [9], [1, 2, 9]]
[[8], [5], [6, 6], [5, 5], [7], [8], [6, 6], [8], [8], [9], [9], [9], [9], [9], [8], [], [7], [7], [8], [9], [6, 6], [9], [7], [9], [8], [5, 7], [7], [9], [7], [9], [5, 5], [9], [2, 9], [8], [6, 6], [7], [1, 7], [5, 5], [6, 6]]
[[6, 6], [9], [6, 6], [7], [9], [7], [], [7], [5, 5], [9], [7], [7], [8], [9], [8], [], [7], [8], [9], [9], [9], [9], [9], [5, 5], [1, 8], [8], [6, 6], [9], [6, 6], [9], [8], [9], [8], [7], [2, 5, 5], [7], [6, 6], [8], [5, 5], [7]]
[[8], [8], [6, 6], [5, 6], [5, 7], [8], [7], [], [], [8], [6, 6], [7], [9], [6, 6], [7], [9], [9], [2, 5, 5], [9], [], [5, 5], [7], [7], [6, 6], [7], [5, 5], [9], [8], [7], [8], [9], [9], [8], [9], [1, 8], [9], [9], [7], [9], [6], [9]]
[[2, 8], [5, 6], [6, 6], [7], [7], [7], [7], [5, 7], [9], [6, 6], [7], [8], [6], [], [5, 5], [1, 9], [9], [], [9], [6, 6], [9], [9], [9], [8], [9], [8], [], [6, 6], [], [9], [9], [8], [5, 5], [7], [9], [8], [8], [9], [7], [8], [5, 5], [7]]
[[9], [8], [2, 8], [6], [6], [6], [6], [1, 7], [8], [8], [6], [9], [7], [9], [5, 5], [9], [9], [5, 5], [9], [9], [9], [5, 5], [8], [7], [6], [5, 5], [7], [7], [8], [9], [8], [7], [7], [6], [7], [8], [6], [6], [9], [7], [9], [6], [9]]
[[8], [1, 6], [7], [7], [], [8], [6], [6], [9], [5, 5], [6], [5, 5], [9], [5, 5], [8], [7], [5, 5], [9], [6], [7], [8], [9], [8], [7], [2, 8], [9], [6], [9], [9], [7], [9], [8], [6], [6], [9], [7], [8], [9], [6], [7], [6], [9], [7], [9]]
[[2, 8], [6], [5], [9], [5, 5], [6], [7], [6], [7], [7], [7], [6], [5, 5], [9], [6], [5], [9], [7], [7], [6], [9], [7], [8], [9], [8], [8], [9], [5], [9], [6], [6], [9], [6], [9], [8], [9], [1, 5], [8], [8], [8], [9], [7], [6], [9], [7]]
[[2, 7], [6], [6], [6], [6], [8], [6], [5, 5], [6], [7], [6], [8], [], [7], [7], [9], [9], [1], [9], [7], [8], [5, 5], [9], [8], [9], [9], [8], [8], [9], [8], [9], [5, 5], [7], [6], [6], [8], [7], [7], [9], [7], [9], [], [9], [6], [5, 5], [9]]
[[7], [6], [8], [6], [6], [7], [6], [6], [7], [], [8], [6], [7], [9], [8], [9], [], [9], [9], [9], [9], [9], [9], [6], [9], [8], [8], [5, 5], [5, 5], [8], [5, 5], [], [7], [5, 5], [6], [7], [2, 6], [7], [8], [8], [7], [6], [9], [9], [9], [], [1, 7]]
[[6], [5, 5], [], [7], [6], [2, 6], [6], [6], [6], [9], [7], [6], [5, 5], [5, 5], [], [], [8], [9], [9], [6], [], [8], [7], [], [9], [6], [7], [9], [9], [1, 9], [9], [7], [9], [6], [8], [9], [9], [8], [7], [8], [8], [7], [7], [8], [5, 5], [8], [7], [9]]
[[2, 6], [6], [6], [6], [5], [6], [9], [6], [5], [9], [9], [9], [8], [5], [8], [7], [7], [8], [9], [9], [6], [5], [9], [5], [9], [5], [8], [9], [7], [9], [5], [7], [6], [6], [1], [7], [5], [8], [9], [], [8], [9], [8], [7], [6], [7], [7], [8], [7]]
-EndAllocation

Instance: [[1], [337], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,49. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,49:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 5, 5, 5, 5]]
[[5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [5, 5, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 8]]
[[5, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5], [6, 6], [4, 4, 4, 8, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9], [], [4, 4, 4, 8, 8, 8], [6, 6, 6, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 8, 8, 8], [4, 4, 4]]
[[5, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7], [9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6], [4, 4, 4], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7]]
[[5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [9, 9, 9, 9], [7, 7, 7, 7, 7], [4, 4, 4, 9, 9], [9, 9, 9, 9], [], [7, 7, 7], [8, 8, 8, 8]]
[[5, 6, 6, 6, 6, 6], [9, 9, 9, 9], [], [9, 9, 9, 9], [8, 8, 8, 8], [5, 5], [5, 5, 5, 5, 9, 9], [8], [6, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [4, 4, 4, 7, 7, 7], [7, 7, 7, 7, 7]]
[[5, 6, 6, 9], [7, 7, 7, 7], [4, 4, 4, 9], [5, 5, 5, 5, 5, 5], [8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [8, 9, 9], [], [8, 8, 8, 8]]
[[5, 6, 6, 6, 6], [5, 5, 5, 5, 5, 5], [], [7, 7, 7, 7], [6, 9, 9, 9], [9, 9, 9], [], [8], [4, 4, 4, 6, 6, 9], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[5, 6, 6, 6, 6], [], [8, 8, 8], [7, 7, 7, 7], [], [8, 8, 8], [5, 5, 5, 5, 5, 5], [9], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [4, 4, 4, 6, 6, 6]]
[[5, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [], [7, 7, 7, 7], [5, 6, 6, 6, 6], [7, 7, 7, 7], [], [4, 4, 4, 9], [5, 5, 5, 5, 5]]
[[5, 7, 7, 7], [4, 9, 9], [9, 9], [9, 9], [4, 4, 9, 9], [8, 8, 8], [6, 6, 6, 6], [7, 7], [8, 8, 8], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [5, 9, 9], [], [7, 7, 7], [8, 8, 8]]
[[5, 9, 9], [6, 6, 6, 6], [9, 9], [], [], [7, 7, 7], [], [5, 9, 9], [8, 8, 8], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [6, 6, 6, 6], [8, 8, 8], [7, 9, 9], [7, 9, 9], [5, 5, 5, 5, 5], [4, 4, 4]]
[[5, 6, 6, 6], [7, 7, 7], [9, 9], [5, 5, 5, 5], [9, 9], [], [9, 9], [5, 5, 7, 7], [4, 4, 4, 6], [7, 7, 7], [8, 8, 8], [9, 9], [6, 6, 6, 6], [9, 9], [8, 8, 8], [], [8, 8, 8], [], [6, 6, 6, 6]]
[[5, 6, 6], [7], [9, 9], [9, 9], [4, 4, 4], [8, 8], [8, 8], [7, 7, 7], [6, 8, 8], [6, 6, 6], [6, 6, 6], [8], [5, 5, 5, 5], [5, 5, 7], [9, 9], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [9, 9]]
[[5, 6, 6], [5, 5, 5, 5], [], [9, 9], [6, 6, 6], [8, 8], [5, 8, 8], [9, 9], [4, 4, 4, 6], [6, 6, 6], [7, 7, 7], [5, 8, 8], [9, 9], [7, 7, 7], [7, 7], [6, 6, 6], [9, 9], [9, 9], [8, 8], [], [8]]
[[5, 6, 6], [8, 8], [9, 9], [7, 7, 7], [8, 8], [8, 8], [9, 9], [], [6, 8], [5, 5, 5, 5], [6, 6, 6], [9, 9], [9, 9], [4, 7, 7], [6, 6, 6], [6, 6, 6], [9, 9], [4, 4, 5, 5], [8, 8], [], [], [7, 7, 7]]
[[5, 6, 6], [7, 7], [4, 4, 4], [8], [9, 9], [8, 8], [9, 9], [9, 9], [8, 8], [7, 7], [6, 6, 6], [5, 5, 5, 5], [9, 9], [], [7, 7], [8, 8], [6, 6, 6], [7, 7], [6, 6, 6], [9, 9], [], [5, 5, 6], [8, 8]]
[[5, 6, 6], [], [7, 7], [], [], [8], [8, 8], [9, 9], [9, 9], [8, 8], [8, 8], [9, 9], [4, 4, 4, 6], [5, 5], [9, 9], [5, 5, 5, 5], [7, 7], [8, 8], [6, 6, 6], [9, 9], [6, 6, 6], [7, 7], [7, 7], [6, 6, 6]]
[[5, 6, 6], [8, 8], [8, 8], [6, 6, 6], [9, 9], [], [5, 5, 5], [8, 8], [9, 9], [6, 6, 6], [7, 7], [7, 7], [], [9, 9], [7, 7], [9, 9], [8, 8], [6, 6, 6], [], [9, 9], [5, 5, 5], [7, 7], [4, 4, 4], [], [6, 8]]
[[5, 9], [6, 9], [6, 9], [5, 9], [8, 8], [4, 4, 4], [5, 9], [8, 9], [7, 9], [7, 7], [7, 7], [5, 9], [7, 9], [6, 6], [], [6], [6, 6], [7, 7], [8, 8], [8, 8], [5, 5, 5], [8, 8], [], [6, 6], [6, 9], [6, 6]]
[[5, 9], [6, 9], [6, 9], [6], [6, 6], [8, 9], [5, 6, 6], [6, 6], [8, 8], [7, 7], [7, 7], [5, 9], [8, 8], [], [5, 9], [], [4, 4, 9], [9], [], [6, 6], [4, 8], [6, 9], [5, 5, 5], [8, 8], [7, 7], [7, 7], [8, 9]]
[[5, 9], [6, 6], [6, 6], [6, 9], [], [7, 7], [6, 6], [9], [], [6, 6], [5, 5, 5], [8, 8], [6, 9], [7, 7], [8, 9], [8, 8], [8, 9], [7, 7], [5, 5, 5], [8, 9], [9], [], [7, 7], [6, 6], [8, 8], [4, 9], [], [4, 4, 9]]
[[5, 6], [6, 6], [6, 6], [5, 5, 5], [6, 6], [8, 8], [8, 8], [7, 9], [7, 7], [8], [], [9], [8, 8], [9], [9], [5, 5, 5], [7, 7], [7, 9], [7, 7], [6, 6], [], [9], [8, 8], [9], [6, 6], [9], [4, 4, 4], [9], [6, 9]]
[[5, 6], [6, 6], [6, 6], [8, 8], [], [7, 7], [6, 6], [8], [7, 7], [8, 8], [6, 6], [9], [5, 5, 5], [9], [7, 7], [9], [9], [7, 9], [6, 9], [], [], [5, 5, 5], [8, 8], [9], [4, 4, 4], [8, 8], [9], [7, 9], [6, 6], [9]]
[[5, 6], [6, 6], [5, 8], [9], [5, 8], [4, 4, 4], [5, 9], [6, 8], [8], [7, 7], [6, 6], [7, 7], [9], [8], [7, 7], [6, 6], [9], [6, 6], [9], [7, 7], [8], [8], [8], [9], [9], [9], [8], [9], [5, 9], [6, 6], [5, 5]]
[[5, 6], [6, 6], [6, 6], [6, 8], [7, 7], [8], [6, 6], [5, 5], [8], [9], [9], [9], [5, 5], [9], [7, 7], [5, 9], [8], [6, 8], [9], [9], [7, 7], [5, 8], [], [7, 7], [9], [9], [4, 4, 4], [6, 6], [6, 8], [8], [8], [9]]
[[5, 6], [6, 8], [6, 6], [], [4, 4, 4], [7, 7], [9], [6, 6], [9], [5, 5], [5, 5], [7, 7], [7, 7], [9], [8], [9], [9], [], [6, 8], [6, 8], [9], [7, 7], [9], [9], [8], [9], [8], [6, 6], [8], [9], [5, 5], [6, 8], [6, 8]]
[[9], [6, 6], [6, 6], [6, 6], [9], [8], [5, 8], [9], [9], [6, 7], [6, 7], [4, 4, 4], [9], [7], [7], [9], [7], [9], [5, 5], [5, 7], [8], [6, 7], [8], [5, 5], [8], [6, 7], [5, 8], [8], [9], [6, 6], [8], [9], [9], [8]]
[[5, 5], [6, 6], [6, 6], [6, 7], [5, 5], [6, 6], [9], [9], [7], [7], [8], [9], [9], [8], [9], [7], [5, 8], [5, 8], [9], [9], [8], [8], [6, 6], [9], [7], [6, 6], [9], [8], [7], [8], [4, 4, 4], [7], [6, 7], [5, 8], [9]]
[[5, 6], [6, 6], [6, 6], [9], [9], [5, 8], [7], [7], [6, 7], [5, 5], [7], [9], [5, 5], [9], [], [9], [], [6, 6], [6, 6], [8], [9], [9], [5, 8], [9], [8], [9], [8], [7], [4, 8], [4, 7], [9], [8], [8], [6, 7], [4, 8], [6, 7]]
[[5, 8], [6, 6], [8], [6, 6], [6, 7], [5, 8], [7], [9], [9], [7], [8], [9], [], [7], [9], [7], [6, 6], [9], [], [], [9], [4, 4, 4], [5, 5], [9], [9], [8], [9], [8], [8], [6, 6], [5, 5], [5, 8], [6, 7], [8], [9], [6, 7], [6, 7]]
[[5, 6], [6, 6], [6, 6], [8], [8], [7], [9], [7], [7], [9], [9], [5, 5], [8], [9], [4, 4, 4], [8], [5, 7], [9], [8], [8], [6, 6], [6], [6, 6], [], [9], [9], [8], [9], [8], [9], [7], [7], [5, 7], [5, 5], [9], [8], [7], [6, 6]]
[[6, 6], [6, 6], [9], [5, 5], [7], [7], [8], [8], [8], [9], [9], [8], [9], [4, 4, 4], [9], [], [5], [], [9], [8], [9], [8], [6, 6], [5, 5], [9], [7], [5, 7], [8], [7], [9], [9], [7], [8], [8], [6, 6], [6, 6], [7], [5, 7], [6, 6]]
[[5, 6], [6, 6], [6, 6], [7], [9], [], [], [7], [5, 7], [9], [8], [7], [8], [9], [8], [5, 5], [7], [8], [9], [9], [9], [9], [], [9], [8], [8], [6, 6], [9], [6, 6], [9], [6, 6], [4, 4, 4], [7], [7], [5, 5], [6], [8], [5, 7], [8], [8]]
[[5, 6], [6, 6], [6, 6], [6, 6], [5, 5], [8], [8], [8], [8], [8], [6, 6], [7], [9], [6, 6], [7], [7], [], [7], [], [], [7], [8], [5, 5], [9], [6], [9], [4, 4, 4], [9], [8], [9], [7], [5, 5], [9], [7], [9], [7], [9], [8], [8], [9], [9]]
[[5, 6], [6, 6], [6, 6], [7], [6, 6], [7], [6], [8], [9], [6, 6], [], [7], [], [], [5, 5], [9], [9], [], [9], [6, 6], [9], [9], [9], [8], [7], [8], [5, 5], [4, 4, 4], [8], [9], [9], [7], [5, 5], [8], [9], [8], [7], [8], [8], [7], [8], [7]]
[[6], [8], [4, 5], [6], [8], [6], [7], [7], [6], [7], [9], [6], [9], [8], [9], [7], [7], [9], [6], [7], [7], [4, 6], [8], [5, 5], [8], [9], [8], [8], [6], [9], [4, 6], [5, 5], [9], [6], [7], [9], [9], [8], [5, 5], [6], [8], [9], [6]]
[[6], [8], [7], [7], [6], [8], [6], [6], [9], [5, 5], [7], [6], [9], [5, 5], [8], [7], [5, 5], [9], [6], [7], [8], [9], [8], [7], [6], [9], [6], [9], [9], [7], [9], [8], [8], [6], [], [7], [8], [4, 6], [6], [8], [4, 5], [9], [4, 6], [9]]
[[5, 5], [6], [8], [7], [8], [6], [7], [9], [7], [9], [6], [6], [9], [8], [], [9], [6], [4, 4], [7], [7], [5], [7], [9], [9], [9], [8], [9], [8], [8], [8], [8], [6], [9], [7], [6], [4, 6], [8], [6], [6], [5, 5], [5, 5], [6], [6], [9], [7]]
[[6], [7], [4, 6], [6], [6], [7], [6], [5, 5], [9], [6], [6], [8], [], [6], [7], [9], [9], [], [9], [7], [6], [5, 5], [4, 4], [8], [8], [5], [6], [8], [9], [8], [8], [6], [6], [7], [7], [8], [8], [7], [9], [7], [9], [9], [9], [8], [5, 5], [9]]
[[6], [6], [6], [6], [7], [6], [8], [6], [8], [9], [8], [6], [7], [4, 4], [9], [7], [9], [7], [9], [4], [], [6], [], [6], [9], [8], [8], [5, 5], [5, 5], [6], [5, 5], [9], [9], [9], [8], [7], [5], [6], [8], [8], [7], [6], [9], [7], [9], [7], [8]]
[[6], [4, 6], [8], [6], [6], [6], [6], [6], [6], [9], [7], [7], [7], [5, 5], [], [4, 4], [6], [9], [9], [6], [], [8], [7], [], [9], [7], [7], [], [9], [9], [9], [5, 5], [9], [6], [8], [5], [9], [8], [7], [8], [8], [6], [7], [8], [5, 5], [8], [8], [9]]
[[7], [6], [6], [6], [6], [6], [6], [], [6], [9], [9], [], [8], [5], [8], [8], [7], [5], [9], [9], [6], [6], [9], [6], [7], [4, 4], [8], [9], [7], [9], [6], [7], [5], [6], [7], [4, 5], [9], [5], [9], [8], [8], [9], [8], [7], [7], [5], [5], [8], [8]]
-EndAllocation

Instance: [[1], [350], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 9], [8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [8, 8, 8, 9, 9]]
[[], [9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4], [9], [9, 9, 9, 9]]
[[], [7, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8, 9], [4, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 8, 8, 9], [9, 9, 9], [9, 9], [9, 9, 9], [7, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [], [8, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 8, 8], [9, 9, 9], [], [9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9], [9, 9, 9], [7, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9]]
[[], [7, 9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [8, 8, 8], [9, 9], [9, 9]]
[[9], [9, 9], [9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [7, 9], [9], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [9, 9], [7, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9], [], [9, 9], [], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [9, 9], [9, 9], [7, 9], [8, 9], [8, 8], [9, 9], [], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4], []]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [7], [9, 9], [9, 9], [8, 8], [9, 9], [], [9], [4, 4, 4, 4], [9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 9], [4, 4, 4, 4], [7, 9], [9], [9], [9], [8, 9]]
[[9], [8, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 9], [7, 9], [8, 8], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 4, 8], [8, 8], [4, 4, 4, 4], [9], [7, 9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [8], [8, 8], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [7, 9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[8], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [4, 8], [4, 9], [9], [4, 8], [4, 9], [7], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [8], [8], [4, 9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [8], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [7], [4, 9], [4, 9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [8], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [8], [4, 9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [8], [9], [4, 4, 4], [9], [4, 9], [9], [9], [9], [7], [4, 8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 7], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [], [9], [4, 8], [4, 9], [9], [4, 9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [4], [9], [9], [9], [9], [8], [9], [8], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 7], [9], [9], [8], [9], [], [9], [9], [9], [4, 8], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [], [7], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [4], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [8], [4], [7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [7], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [8], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [9], [4], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [], [4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [8], [9], [8], [9], [9], [9], [9], [7], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [9], [9], [9], [8], [9]]
[[], [9], [8], [9], [9], [9], [8], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [], [4, 4], [4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [7], [9], [9], [4, 4], [9], []]
[[], [9], [9], [4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [7], [9], [], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [7], [8], [8], [9], [9], [4, 4], [9], [], [9], [9], [4], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [8], [], [4, 4], [9], [], [9], [9], [9], [9]]
[[7], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [8], [], [9], [9], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [9], [9], [4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [349], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [5, 5, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 9], [5, 5, 8, 8, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 9, 9, 9, 9], [5, 5, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [5, 5, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [5, 5, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 9], [9], [5, 5, 9, 9, 9], [8, 8, 8, 9, 9]]
[[], [9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 8, 8, 8], [5, 5, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4], [9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [], [5, 5, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8, 9], [9, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9], [5, 5, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 9, 9], [], [8, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 8, 8], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4], [5, 5], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 5, 5], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [5, 5, 9], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [5, 5, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [5, 5, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [8, 8, 8], [9, 9], [9, 9]]
[[], [9, 9], [9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [5, 5, 8], [9], [4, 4, 4, 9], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [4, 4, 5, 5], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [5, 5, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9], [], [9, 9], [], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [5, 5, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [8, 8], [9, 9], [], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [5, 5], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 9], []]
[[], [9, 9], [9, 9], [4, 4, 9], [9, 9], [9, 9], [], [4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [9, 9], [], [9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [5, 5], [8, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [5, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [4, 4, 9], [4, 4, 9], [5, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [5, 9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [5, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [8, 9]]
[[9], [8, 9], [9], [9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [5, 9], [4, 4, 9], [5, 9], [9], [9], [9], [4, 4, 9], [9], [8, 8], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [5, 9], [4, 9], [4, 9], [4, 9], [5, 9], [4, 9], [4, 9], [9], [9], [8, 8], [8], [4, 4, 4, 4], [9], [9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [4, 8], [8, 8], [5, 5], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [8], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [8], [4, 9], [9], [4, 8], [4, 9], [9], [4, 9], [9], [4, 4, 4], [4, 9], [5, 5]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [8], [8], [9], [9], [4, 5, 5], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 8], [9], [5, 5], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [8], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [9], [4, 9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [8], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [8], [9], [9], [9], [5, 5], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9]]
[[9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [5, 5], [9], [8], [9], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [9], [5, 5], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [4, 8], [4, 9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [5, 5], [9]]
[[9], [9], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [8], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [5, 5], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [5, 5], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4], [9], [9], [8], [9], [], [9], [9], [9], [4, 8], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [4, 4], [9], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [4, 8], [9], [5, 5], [9]]
[[9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [], [5, 5], [9], [9], []]
[[8], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [8], [9], [5, 5], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [8], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [5, 5], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [9], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [8], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [5, 5], [9], [8], [9], [9], [9], [9], [], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [], [5, 5], [9], [9], [9], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [], [9], [9], [8], [9]]
[[], [5, 5], [8], [9], [9], [9], [8], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [], [9], [9], [4, 4], [9], []]
[[], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [5, 5], [9], [], [9], [], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [8], [8], [9], [9], [4, 4], [9], [], [], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [8], [], [4, 4], [9], [5, 5], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [5], [], [], [9], [9], [8], [], [9], [9], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [5], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [348], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 7, 7, 7, 9, 9], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9], [8, 9, 9, 9, 9, 9], [7, 7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9]]
[[], [7, 7, 7, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [8, 9, 9, 9]]
[[], [9, 9, 9], [7, 7, 7, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4], [9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7, 7, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9, 9], [4, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 9, 9], [9, 9, 9], [9], [9, 9, 9], [7, 7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [], [8, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8], [9, 9, 9], [9, 9], [9, 9, 9], [7, 7, 7], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 9], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9], [9, 9, 9], [7, 7, 7], [8, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [7, 9, 9], [7, 7, 8], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9]]
[[], [7, 7, 7], [9, 9], [9, 9], [4, 9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 9, 9], [8, 9], [9, 9], [9, 9]]
[[], [9], [9], [9, 9], [7, 7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9]]
[[], [9, 9], [9, 9], [9, 9], [7, 7, 7], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [7, 7, 7], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4]]
[[], [9, 9], [9, 9], [7, 7], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4], [7, 9], [9], [], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 8], [9, 9], [], [9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [7, 9], [4, 4, 4, 4], [4, 9], []]
[[], [9, 9], [9, 9], [4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [8], [9, 9], [], [7], [4, 4, 4, 4], [9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [4, 9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [7, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [7, 9], [9], [4, 4, 9], [9], [4, 9], [9], [4, 4, 9], [4, 4, 9], [7, 7], [9], [9], [9], [8, 9]]
[[9], [7, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [7, 8], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [7, 9], [4, 9], [4, 9], [9], [9], [4, 9], [8], [4, 4, 4, 4], [9], [7, 7], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [7, 9], [4, 4, 8], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [7, 7], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [7], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [9], [4, 9], [9], [4, 8], [4, 9], [7, 7], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 9], [7], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [7, 7], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [9], [9], [4, 9], [9], [7, 7], [4, 4, 4], [4, 9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [9], [8], [4, 9], [9], [9], [7], [9], [7], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [7], [4, 9], [9], [9], [7], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [7]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 7], [4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [9], [9], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [], [9], [9], [9], [7], [9], [9], [4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9]]
[[9], [9], [9], [9], [9], [4], [9], [7], [9], [9], [8], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [7], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [7], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [], [4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 7], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 7], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4], [9], [9], [9], [], [4, 4, 4], [4, 7], [9], [9], [9], [], [9], [], [7], [9], [7], [9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [4], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [7], [9], [7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [7], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [4], [7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [7], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [9], [4], [], [9], [7], [7], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [7], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4], [9], [], [9], [4, 4], [9], [9], [9], [9], [7], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [7], [], [9]]
[[9], [], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [7], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [], [7], [9], [4, 4], [9]]
[[7], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [7], [9], [9], [9], [9], [], [9], [4, 4], [], [4, 4], [4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [7], [9], [9], [4, 4], [9], []]
[[], [9], [9], [4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [7], [9], [9], [9], [4, 4], [9], [7], [9], [], [4, 4], [4, 4], [9], [9], [], [7], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [7], [4], [4, 4], [9], [9], [9], [], [9], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [], [], [9], [9], [7], [9], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [4, 4], [], [4, 4], [9], [], [9], [9], [9], [9]]
[[7], [4, 4], [9], [9], [9], [9], [], [7], [9], [9], [9], [9], [9], [9], [], [], [9], [7], [8], [], [9], [9], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [9], [], [4, 4], [4, 4], [], [4, 4], [9], [4, 4], [9], [9], [], [4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [347], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [8, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [8, 8, 8, 9, 9]]
[[], [9, 9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9]]
[[], [9, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 8], [4, 4, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 8, 8, 9], [9, 9, 9], [9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [], [8, 8, 8], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 8, 8], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [8, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8, 8], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [8, 8, 8], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 8], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [], [9, 9], [], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [8, 9], [8, 8], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [9, 9], [], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [8, 9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 4, 4], [9], [9], [9], [9], [8, 9]]
[[9], [4, 9], [4, 9], [8, 8], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [8], [4, 9], [4, 9]]
[[9], [9], [4, 9], [4, 4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [8, 8], [8], [9], [9], [9], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [8], [8, 8], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4, 4], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[8], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [4, 9], [4, 9], [8], [4, 9], [9], [4, 8], [4, 9], [9], [9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [8], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 8], [9], [8], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [8], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [], [9], [9], [9], [8], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 8], [9], [9], [9], [9], [4, 4, 4], [8], [9], [], [9], [4, 8], [4, 9], [9], [4, 9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [9], [9], [8], [9], [], [9], [9], [9], [4, 8], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [], [8], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [], [9], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [8], [4, 4, 4], [8], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], []]
[[8], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [8], [4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [], [8], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [8], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [8], [9], [8], [9], [9], [9], [9], [], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [8], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [], [9], [9], [8], [9]]
[[], [9], [8], [9], [9], [9], [8], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [], [9], [9], [4, 4], [9], []]
[[], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [8], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [9], [8], [8], [9], [9], [4, 4], [9], [], [], [9], [4, 4], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [8], [], [4, 4], [9], [], [9], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [8], [], [9], [9], [], [], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [], [4, 4], [4, 4], [], [4, 4], [8], [8], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [346], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [230, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [173, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 7, 9, 9, 9, 9, 9, 9], [4, 4, 4, 8, 8], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [8, 8, 9, 9, 9, 9], [7, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9], [9, 9, 9, 9], [8, 8, 9, 9]]
[[], [9, 9, 9, 9], [7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9, 9]]
[[], [7, 9, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 8, 9], [4, 4, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 8, 9], [9, 9, 9], [9, 9], [9, 9, 9], [7, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [7, 9, 9], [9, 9, 9], [4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [], [8, 8, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8, 8], [9, 9, 9], [9], [9, 9, 9], [7, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [7, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 8, 8], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9]]
[[], [7, 9, 9], [9, 9], [9, 9], [4, 9, 9], [8, 8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [8, 8], [9, 9], [9, 9]]
[[], [], [9, 9], [9, 9], [7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 8]]
[[], [9, 9], [9, 9], [9, 9], [4, 4, 4, 7], [9, 9], [9, 9], [4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [7, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9, 9], [9, 9], [7, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [], [9, 9], [], [8, 8], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [7, 9], [9, 9], [8, 8], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], []]
[[], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [7], [9, 9], [9, 9], [8, 8], [9, 9], [], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [9], [9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 4, 4], [7, 9], [9], [9], [9], [8, 9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [8, 8], [9], [9]]
[[9], [4, 4, 4, 4], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [8, 8], [4, 4, 4, 4], [9], [7, 9], [9], [9], [9]]
[[9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [8, 8], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [7, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [4, 9], [8], [4, 9], [9], [4, 8], [4, 9], [7], [4, 9], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [8], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9], [9], [9], [4, 9], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [8], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [7], [4, 4, 4], [4, 9], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [9], [9], [9], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [8], [9], [9], [9], [8], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [8], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [9], [], [9], [4, 8], [4, 9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9]]
[[9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [8], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 7], [9], [9], [9], [9], [], [9], [9], [9], [4, 8], [9], [9], [8], [9], [4, 4, 4], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [9], [4, 4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4], [9], [9], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [9], [], [7], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [9], [9], [7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [8], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], []]
[[9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [4, 4, 4], [9], [9], [8], [4, 4], [7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [8], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [], [9], [8], [9], [9], [9], [9], [7], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [], [9], [9], [8], [9]]
[[], [9], [8], [9], [9], [9], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [8], [9], [9], [], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [7], [9], [9], [4, 4], [9], []]
[[], [9], [9], [4, 4], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [7], [9], [], [8], [4, 4], [9], [9], [], [9], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [], [], [9], [9], [4, 4], [9], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [8], [], [4, 4], [9], [], [9], [9], [9], [9]]
[[7], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [9], [8], [], [9], [9], [], [], [9], [], [9], [4, 4], [4, 4], [9], [9], [], [], [4, 4], [4, 4], [], [4, 4], [9], [8], [9], [9], [4, 4], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [345], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [230, 153, 116, 92, 77, 66, 58, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 9], Opt: [173, 115, 87, 69, 58, 50, 44, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7]]
[[], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9], [8, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9]]
[[], [7, 7, 9, 9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9], [8, 9, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9], [9, 9, 9]]
[[], [7, 7, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9], [9, 9, 9, 9], [8, 9, 9, 9]]
[[], [9], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4], [9, 9, 9, 9], [9, 9, 9, 9]]
[[], [7, 7, 9, 9], [], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [8, 9, 9], [4, 4, 9, 9, 9], [], [9, 9, 9, 9]]
[[], [8, 9, 9], [9, 9, 9], [9, 9], [9, 9, 9], [7, 7, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 9], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [4, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 9], [], [8, 9, 9], [9, 9, 9], [9, 9, 9]]
[[], [9, 9, 9], [8], [9, 9, 9], [9, 9], [9, 9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4]]
[[], [9, 9, 9], [], [9, 9, 9], [7, 7, 9], [8, 9, 9], [9, 9, 9], [9, 9, 9], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]
[[9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7, 8], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9, 9]]
[[], [7, 7, 9], [9, 9], [9, 9], [4, 9, 9], [8, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4]]
[[], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [4, 4, 9], [8, 9], [9, 9], [9, 9]]
[[], [9], [9, 9], [9, 9], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [8, 9]]
[[], [9, 9], [9, 9], [9, 9], [4, 7, 7], [4, 4, 4, 9], [9, 9], [4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9], [9, 9], [], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4]]
[[], [], [9, 9], [7, 7], [9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [4, 4, 4, 4, 4]]
[[], [9], [9, 9], [7, 7], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9], [], [9, 9], [], [8, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [7, 7], [9, 9], [4, 4, 8], [9, 9], [], [], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4, 4], [4, 4, 9], []]
[[], [9, 9], [9], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [7, 7], [9, 9], [9, 9], [8], [9, 9], [], [], [4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9]]
[[9], [9], [4, 4, 9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [9], [9], [9], [7, 9], [4, 4, 9], [9], [9], [4, 4, 9], [8, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9]]
[[9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [9], [9], [9], [4, 4, 9], [9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [7, 7], [9], [9], [9], [8, 9]]
[[9], [7, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [7, 9], [8], [9], [9]]
[[9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [8], [4, 4, 4, 4], [9], [7, 7], [9], [4, 9], [9]]
[[9], [4, 9], [9], [9], [4, 9], [9], [4, 4, 8], [9], [9], [9], [9], [4, 9], [9], [4, 9], [9], [4, 4, 4, 4], [7, 7], [9], [9], [4, 4, 4, 4], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [9], [4, 8], [4, 9], [7, 7], [4, 4, 4], [9], [4, 4, 4], [4, 9], [9]]
[[9], [9], [9], [9], [9], [4, 9], [4, 9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [8], [9], [9], [4, 9], [4, 9], [4, 4, 4], [9], [7, 7], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [4, 4, 4], [4, 9], [4, 9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 9], [9], [7, 7], [4, 4, 4], [4, 4, 4], [8], [4, 4, 4], [9], [9]]
[[9], [9], [4, 9], [9], [9], [7], [4, 9], [9], [9], [4, 9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [4, 7], [9], [9], [4, 9]]
[[9], [9], [4, 4, 4], [9], [9], [4, 7], [9], [9], [9], [9], [9], [4, 4, 4], [4, 8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9]]
[[9], [4, 4, 4], [8], [9], [9], [9], [4, 7], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [7], [9], [9], [4, 9], [9], [4, 4, 4], [9], [], [9], [9], [9], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [8], [9], [], [9], [4, 9], [4, 9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [7], [4, 4, 4], [9], [9]]
[[9], [9], [], [9], [9], [4, 4], [9], [9], [9], [9], [8], [9], [9], [7], [4, 4, 4], [9], [9], [9], [9], [4, 4, 4], [9], [9], [9], [7], [9], [9], [4, 4, 4], [4, 4, 4], [4, 4, 4], [], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [4, 7], [9], [9], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [4, 7], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [], [4, 4, 4], [9], [9], [4, 4, 4], [9], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [], [4, 4, 4], [4, 7], [9], [9], [9], [], [9], [], [7], [9], [9], [9], [9], [9], [4, 8], [9], [9], [9]]
[[9], [4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [], [7], [9], [7], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4, 4], [], [], [8], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [], [4, 4, 4], [9], [7], [4, 4, 4], [9], [9], [9], [4, 4], [7], [9], [4, 4, 4], [9], [4, 4, 4], [4, 4, 4], [9], [9], [9], [9], [9], [8], [9], [], [], [4, 4, 4], [9], [9], [9], [9], [], [9], [], [], [9], [9], [9], [9]]
[[9], [9], [9], [7], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [4, 4], [9], [4, 4], [8], [4, 4], [4, 4], [9], [9], [4, 4], [], [], [4, 4], [9], [9], [9], [4, 4], [], [9], [9], [7], [9], [9], [9], [9], [9], [4, 4]]
[[9], [9], [4, 4], [9], [7], [], [4, 4], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [9], [4, 4], [4, 4], [], [], [9], [4, 4], [9], [9], [9], [9], [7], [4, 4], [9], [9], [8], [9], [4, 4], [9], [4, 4], [9], [], [9]]
[[9], [], [4, 4], [9], [9], [7], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [4, 4], [9], [], [9], [4, 4], [9], [9], [9], [4, 4], [8], [9], [], [4, 4], [4, 4], [4, 4], [9], [9], [], [], [9], [], [7], [9], [4, 4], [9]]
[[7], [9], [8], [9], [9], [], [9], [9], [9], [9], [4, 4], [4, 4], [], [9], [9], [9], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [4, 4], [9], [], [4, 4], [7], [9], [9], [4, 4], [9], []]
[[], [9], [9], [9], [9], [4, 4], [9], [9], [4, 4], [], [9], [9], [9], [4, 4], [], [4, 4], [9], [], [4, 4], [9], [9], [9], [4, 4], [9], [7], [9], [], [4, 4], [4, 4], [9], [9], [], [7], [], [9], [9], [4, 4], [9], [], [8], [4, 4], [9], [9], [9], [9], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [], [4, 4], [4, 4], [9], [9], [9], [], [9], [9], [7], [4, 4], [8], [9], [9], [4, 4], [9], [], [], [9], [9], [7], [9], [], [4, 4], [9], [9], [4, 4], [], [4, 4], [], [4, 4], [], [4, 4], [9], [], [9], [9], [9], [9]]
[[7], [4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [9], [9], [9], [], [], [9], [7], [8], [], [9], [9], [], [], [9], [9], [9], [4, 4], [4, 4], [9], [9], [], [], [4, 4], [4, 4], [], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [9]]
-EndAllocation

Instance: [[1], [344], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; Results for m' = 2,...,50. UB Alg: [229, 153, 114, 92, 77, 66, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10, 10, 10, 10, 10, 10, 10, 9], Opt: [172, 115, 86, 69, 58, 50, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7]
Allocation for m' = 2,...,50:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [7, 7, 9, 9], [8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [8, 8, 9], [9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9], [7, 7, 9]]
[[], [9, 9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 9, 9, 9, 9], [9, 9, 9, 9, 9], [8, 8, 9, 9, 9, 9], [9, 9], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 9, 9, 9]]
[[], [9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 8, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 9], [7, 7, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9], [7, 7, 9, 9], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 9, 9], [9, 9], [9, 9, 9, 9], [9], [9, 9, 9, 9], [4, 4, 9, 9, 9]]
[[], [9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8], [], [7, 7, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 9], [4, 4, 4, 7, 7], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [9], [4, 9, 9, 9]]
[[], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [7, 7, 9], [8, 8, 9], [], [9, 9, 9], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [], [8, 8, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [7, 7, 9]]
[[], [4, 4, 4, 4, 4, 4], [9, 9, 9], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [], [], [9, 9, 9], [9, 9, 9], [9, 9, 9], [7, 7, 9], [9, 9, 9], [8, 8, 9], [9, 9, 9], [9, 9, 9], [], [4, 4, 4, 4, 4, 4, 4]]
[[9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [9], [9, 9], [7, 7, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [8, 8, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], [], [4, 4, 4, 4, 4, 4], [4, 4, 9], [8, 8, 9], [7, 9, 9], [9, 9], [9, 9], [7, 9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7, 9], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [9], [8, 8], [4, 9, 9], [9, 9], [4, 9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4, 4], [9, 9], [9, 9], []]
[[], [9, 9], [9, 9], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [8, 8], [7, 7], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4, 4], [], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7]]
[[], [], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [9, 9], [], [9, 9], [9, 9], [9, 9], [8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [], [9, 9], [9, 9]]
[[], [4, 4, 4, 4, 4], [], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [9, 9], [7, 7], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4, 4], [9, 9], [4, 8, 8], [4, 4, 4, 4, 4], [9, 9], [9, 9], [9, 9], [], [9, 9], [9, 9]]
[[], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [4, 7, 7], [9, 9], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9], [], [9, 9], [4, 4, 4], [9, 9], [9, 9], [], [], [9, 9], [9, 9], [9, 9], [8, 8], [9, 9], [9, 9]]
[[], [9, 9], [9, 9], [4, 4, 4, 4], [8, 8], [9, 9], [9, 9], [4, 4, 4, 4], [], [9, 9], [9, 9], [], [9, 9], [], [9, 9], [9, 9], [9, 9], [], [7, 7], [4, 4, 4, 4], [], [4, 4, 4, 4], [9, 9], [9, 9], [4, 4, 4, 4], [9, 9]]
[[9], [9], [4, 4, 4, 4], [4, 4, 9], [9], [9], [7, 9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [7, 9], [9], [4, 4, 9], [9], [8, 9], [9], [9], [4, 4, 9], [8, 9], [9], [4, 4, 9], [9], [4, 4, 9], [9], [9], [9]]
[[9], [9], [7, 7], [4, 4, 9], [4, 4, 9], [9], [9], [8, 9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [9], [4, 4, 4, 4], [9], [9], [9], [9], [9], [9], [4, 4, 9], [4, 4, 9], [4, 4, 9], [9], [8, 9], [4, 4, 9]]
[[9], [9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9], [8, 8], [4, 9], [4, 9], [4, 9], [4, 4, 4, 4], [7, 7], [4, 9], [4, 9], [4, 9], [9]]
[[9], [4, 4, 4, 4], [4, 4, 4, 4], [4, 9], [9], [4, 9], [7, 7], [9], [9], [8, 8], [9], [9], [9], [9], [9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [4, 9], [9], [4, 9]]
[[9], [9], [4, 9], [4, 9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [8, 8], [9], [4, 9], [9], [9], [9], [9], [9], [4, 4, 4, 4], [9], [9], [4, 9], [9], [9], [4, 4, 4, 4], [4, 9], [9], [4, 4, 4, 4], [7, 7], [9], [9]]
[[9], [9], [4, 8], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 9], [4, 9], [9], [4, 9], [7, 7], [9], [4, 9], [4, 9], [9], [4, 4, 4], [4, 9], [4, 9], [8], [9], [9], [4, 9], [9]]
[[9], [9], [8], [4, 9], [4, 9], [4, 9], [9], [8], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [7, 7], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 9], [4, 9], [9], [9], [4, 9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [8], [9], [4, 4, 4], [9], [4, 9], [7, 7], [9], [4, 4, 4], [9], [9], [9], [9], [9], [4, 4, 4], [4, 9], [4, 8], [9], [9], [9], [9], [4, 9], [4, 9], [9], [4, 4, 4], [9], [9], [9], [4, 4, 4]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [7], [4, 9], [9], [9], [9], [9], [9], [4, 9], [4, 4, 4], [7], [9], [9], [4, 9], [9], [9], [9], [9], [4, 9], [9], [9], [4, 8], [9], [4, 4, 4], [9], [8], [4, 4, 4], [9], [9], [9]]
[[8], [9], [9], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [4, 9], [9], [4, 4, 4], [9], [9], [8], [4, 4, 4], [9], [7], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 7], [9], [9], [9], [9]]
[[9], [4, 9], [4, 7], [9], [], [4, 4, 4], [4, 4, 4], [9], [9], [4, 8], [9], [9], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [4, 9], [8], [4, 7], [9], [9], [9], [], [9], [9], [9], [9]]
[[9], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [4, 8], [7], [4, 4, 4], [9], [9], [9], [], [4, 9], [], [4, 4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4, 4], [9], [8]]
[[7], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [4, 4, 4], [9], [9], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [8], [9], [9], [9], [9], [], [9], [4, 4, 4], [9], [9], [4, 4, 4], [4, 4, 4], [7], [9], [9], [8]]
[[9], [9], [], [4, 4, 4], [7], [4, 4, 4], [9], [9], [9], [4, 4, 4], [9], [9], [8], [9], [9], [4, 8], [4, 4, 4], [9], [9], [9], [9], [9], [4], [9], [9], [], [9], [9], [9], [9], [7], [9], [9], [], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4]]
[[9], [4], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [8], [9], [], [9], [9], [7], [], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [4, 4, 4], [9], [4, 4, 4], [9], [9], [8], [9], [4, 4, 4], [4, 7], [9], [4, 4, 4], [9], [9]]
[[9], [], [9], [], [9], [4, 4, 4], [8], [9], [9], [4, 4, 4], [9], [9], [9], [9], [], [9], [9], [9], [9], [4, 4, 4], [9], [4, 4, 4], [], [9], [8], [9], [4, 4, 4], [4], [9], [9], [], [9], [4, 4, 4], [9], [7], [9], [9], [9], [9], [4, 7], [9], [9]]
[[9], [4, 4], [9], [4, 4], [9], [4, 4], [8], [9], [9], [9], [9], [], [7], [], [8], [4, 4], [4, 4], [9], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [], [9], [4, 4], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [7], [4, 4], [9]]
[[9], [9], [4, 4], [9], [4, 4], [9], [4, 4], [9], [9], [], [4, 4], [4, 4], [9], [], [8], [9], [4, 4], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [7], [], [9], [7], [9], [4, 4], [4, 4], [8], [9], [], [9], [9]]
[[9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9], [9], [8], [4, 4], [9], [], [9], [9], [4, 4], [9], [8], [9], [9], [9], [9], [], [4, 4], [4, 4], [9], [9], [9], [4, 4], [9], [], [], [9], [4, 4], [9], [9], [4, 4], [7], [], [7], [9]]
[[9], [9], [9], [4, 4], [9], [], [4, 4], [9], [4, 4], [9], [], [9], [7], [4, 4], [], [9], [9], [4, 4], [8], [9], [4, 4], [9], [9], [9], [9], [9], [9], [4, 4], [7], [4, 4], [8], [9], [9], [9], [], [9], [], [], [9], [9], [9], [4, 4], [9], [4, 4], [9], [9]]
[[9], [], [9], [9], [9], [9], [], [8], [9], [9], [9], [9], [4, 4], [4, 4], [9], [7], [4, 4], [9], [9], [9], [9], [4, 4], [9], [9], [9], [], [9], [4, 4], [4, 4], [], [9], [4, 4], [9], [9], [], [9], [4, 4], [9], [8], [], [4, 4], [4, 4], [], [7], [9], [9], [9]]
[[9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [9], [4, 4], [7], [4, 4], [4, 4], [4, 4], [9], [4, 4], [9], [8], [9], [9], [], [7], [], [], [4, 4], [9], [4, 4], [9], [4, 4], [], [4, 4], [9], [8], [9], [], [9], [], [9], [9], [9], [], [4, 4], [9], [9], []]
[[9], [4, 4], [9], [4, 4], [9], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [4, 4], [4, 4], [9], [9], [4, 4], [], [9], [], [], [9], [4, 4], [9], [], [], [9], [4, 4], [9], [], [9], [9], [4, 4], [9], [8], [], [9], [9], [8], [9], [9], [4, 4], [9], [], [7], [], [7]]
[[], [4, 4], [9], [], [4, 4], [4, 4], [], [], [9], [9], [9], [9], [4, 4], [9], [9], [9], [9], [], [], [9], [], [4, 4], [9], [7], [9], [], [4, 4], [9], [8], [4, 4], [9], [9], [9], [9], [8], [9], [9], [], [9], [9], [9], [9], [], [9], [9], [4, 4], [9], [7], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [24], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 9]; Results for m' = 2,...,3. UB Alg: [16, 10], Opt: [12, 8]
Allocation for m' = 2,...,3:
-StartAllocation
[[7, 8], [9]]
[[8], [7], [9]]
-EndAllocation

Instance: [[1], [23], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 8]; Results for m' = 2,...,3. UB Alg: [16, 10], Opt: [12, 8]
Allocation for m' = 2,...,3:
-StartAllocation
[[8, 8], [7]]
[[7], [8], [8]]
-EndAllocation

Instance: [[1], [30], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 8, 10]; Results for m' = 2,...,4. UB Alg: [20, 13, 10], Opt: [15, 10, 8]
Allocation for m' = 2,...,4:
-StartAllocation
[[8, 10], [6, 6]]
[[6, 6], [8], [10]]
[[8], [6], [10], [6]]
-EndAllocation

Instance: [[1], [29], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [9, 10, 10]; Results for m' = 2,...,4. UB Alg: [20, 13, 10], Opt: [15, 10, 8]
Allocation for m' = 2,...,4:
-StartAllocation
[[10, 10], [9]]
[[10], [9], [10]]
[[10], [9], [], [10]]
-EndAllocation

Instance: [[1], [36], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 8, 9]; Results for m' = 2,...,5. UB Alg: [24, 16, 12, 10], Opt: [18, 12, 9, 8]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 8, 9], [6, 7]]
[[6, 6], [9], [7, 8]]
[[7], [9], [8], [6, 6]]
[[9], [7], [8], [6], [6]]
-EndAllocation

Instance: [[1], [48], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 7, 8, 8, 9, 10]; Results for m' = 2,...,6. UB Alg: [32, 21, 16, 13, 10], Opt: [24, 16, 12, 10, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 8, 8, 9], [7, 10]]
[[8, 8], [9, 10], [6, 7]]
[[6, 7], [9], [8, 8], [10]]
[[9], [8], [6, 7], [10], [8]]
[[9], [10], [8], [6], [8], [7]]
-EndAllocation

Instance: [[1], [47], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 7, 7, 8, 9, 10]; Results for m' = 2,...,6. UB Alg: [32, 21, 16, 13, 10], Opt: [24, 16, 12, 10, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 7, 8, 9], [7, 10]]
[[6, 7, 8], [10], [7, 9]]
[[7, 7], [9], [6, 8], [10]]
[[6, 7], [8], [7], [9], [10]]
[[9], [10], [8], [6], [7], [7]]
-EndAllocation

Instance: [[1], [46], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 7, 7, 8, 8, 10]; Results for m' = 2,...,6. UB Alg: [30, 21, 16, 13, 10], Opt: [23, 16, 12, 10, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 8, 10], [6, 7, 7]]
[[6, 10], [8, 8], [7, 7]]
[[6, 8], [10], [8], [7, 7]]
[[6, 7], [8], [10], [7], [8]]
[[8], [7], [7], [10], [8], [6]]
-EndAllocation

Instance: [[1], [45], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 9, 10, 10]; Results for m' = 2,...,6. UB Alg: [30, 20, 16, 12, 10], Opt: [23, 15, 12, 9, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 8, 9], [10, 10]]
[[8, 9], [8], [10, 10]]
[[8, 8], [10], [9], [10]]
[[10], [8], [10], [9], [8]]
[[8], [10], [8], [10], [], [9]]
-EndAllocation

Instance: [[1], [44], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 10, 10, 10, 10]; Results for m' = 2,...,6. UB Alg: [29, 20, 14, 12, 10], Opt: [22, 15, 11, 9, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[10, 10], [2, 2, 10, 10]]
[[2, 2], [10, 10], [10, 10]]
[[10], [2, 2, 10], [10], [10]]
[[10], [10], [2, 2], [10], [10]]
[[10], [2, 2], [], [10], [10], [10]]
-EndAllocation

Instance: [[1], [43], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 8, 9, 10, 10]; Results for m' = 2,...,6. UB Alg: [29, 20, 14, 12, 10], Opt: [22, 15, 11, 9, 8]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 8, 9], [10, 10]]
[[6, 8], [10, 10], [9]]
[[10], [10], [9], [6, 8]]
[[6], [8], [9], [10], [10]]
[[], [10], [6], [9], [8], [10]]
-EndAllocation

Instance: [[1], [56], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 9, 9, 9, 10]; Results for m' = 2,...,7. UB Alg: [37, 25, 18, 16, 13, 10], Opt: [28, 19, 14, 12, 10, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[6, 6, 7, 10], [9, 9, 9]]
[[7, 9, 9], [10], [6, 6, 9]]
[[7, 9], [6, 6], [10], [9, 9]]
[[7, 9], [6, 9], [10], [], [6, 9]]
[[10], [6], [9], [9], [6, 7], [9]]
[[7], [6], [9], [6], [10], [9], [9]]
-EndAllocation

Instance: [[1], [54], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 8, 10, 10, 10, 10]; Results for m' = 2,...,7. UB Alg: [36, 24, 18, 14, 12, 10], Opt: [27, 18, 14, 11, 9, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[10, 10], [3, 3, 8, 10, 10]]
[[10, 10], [3, 3, 10], [8, 10]]
[[10], [10], [8, 10], [3, 3, 10]]
[[10], [10], [3, 10], [8], [3, 10]]
[[10], [10], [3, 8], [3], [10], [10]]
[[10], [], [10], [3, 3], [10], [8], [10]]
-EndAllocation

Instance: [[1], [53], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 8, 9, 10]; Results for m' = 2,...,7. UB Alg: [36, 24, 18, 14, 12, 10], Opt: [27, 18, 14, 11, 9, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[6, 6, 8, 10], [7, 7, 9]]
[[6, 6, 10], [8, 9], [7, 7]]
[[8, 10], [9], [7, 7], [6, 6]]
[[6, 6], [7, 7], [8], [9], [10]]
[[6, 6], [7], [10], [7], [8], [9]]
[[6], [9], [7], [7], [8], [10], [6]]
-EndAllocation

Instance: [[1], [52], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 7, 10, 10, 10]; Results for m' = 2,...,7. UB Alg: [34, 24, 17, 14, 12, 10], Opt: [26, 18, 13, 11, 9, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[10, 10], [5, 5, 5, 7, 10]]
[[10], [10, 10], [5, 5, 5, 7]]
[[10], [5, 5, 5], [10], [7, 10]]
[[10], [10], [5, 5], [10], [5, 7]]
[[10], [10], [5, 5], [10], [5, 7], []]
[[], [5], [10], [5, 5], [7], [10], [10]]
-EndAllocation

Instance: [[1], [51], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 10, 10, 10]; Results for m' = 2,...,7. UB Alg: [34, 22, 17, 14, 12, 10], Opt: [26, 17, 13, 11, 9, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[10, 10], [5, 5, 5, 6, 10]]
[[10], [10, 10], [5, 5, 5, 6]]
[[10], [5, 5, 5], [6, 10], [10]]
[[10], [10], [5, 5], [10], [5, 6]]
[[10], [5, 6], [5, 5], [10], [], [10]]
[[], [5], [10], [6], [10], [5, 5], [10]]
-EndAllocation

Instance: [[1], [50], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 9, 9, 10, 10]; Results for m' = 2,...,7. UB Alg: [33, 22, 17, 13, 12, 10], Opt: [25, 17, 13, 10, 9, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 4, 9], [4, 9, 10, 10]]
[[10], [4, 4, 10], [4, 9, 9]]
[[9], [4, 10], [4, 10], [4, 9]]
[[9], [9], [4, 4, 4], [10], [10]]
[[10], [], [4, 4, 4], [10], [9], [9]]
[[10], [4], [], [9], [4, 4], [9], [10]]
-EndAllocation

Instance: [[1], [63], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 8, 9, 10, 10, 10, 10]; Results for m' = 2,...,8. UB Alg: [42, 28, 21, 17, 14, 12, 10], Opt: [32, 21, 16, 13, 11, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[3, 8, 10, 10, 10], [3, 9, 10]]
[[10], [3, 3, 10, 10], [8, 9, 10]]
[[10], [10, 10], [3, 3, 9], [8, 10]]
[[10], [8, 9], [3, 3, 10], [10], [10]]
[[8], [10], [10], [3, 10], [10], [3, 9]]
[[8], [10], [10], [3, 9], [3], [10], [10]]
[[10], [], [10], [3, 3], [10], [9], [10], [8]]
-EndAllocation

Instance: [[1], [62], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 8, 9, 9, 10]; Results for m' = 2,...,8. UB Alg: [41, 28, 21, 17, 14, 12, 10], Opt: [31, 21, 16, 13, 11, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 7, 10], [6, 6, 8, 9, 9]]
[[8, 9, 9], [6, 6, 10], [7, 7]]
[[6, 6, 8], [7, 7], [9, 9], [10]]
[[6, 6], [7, 9], [7, 10], [8], [9]]
[[7, 7], [8], [6, 6], [9], [10], [9]]
[[9], [8], [9], [6, 6], [7], [7], [10]]
[[6], [8], [7], [6], [10], [9], [7], [9]]
-EndAllocation

Instance: [[1], [61], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 8, 9, 9, 10]; Results for m' = 2,...,8. UB Alg: [41, 28, 21, 17, 14, 12, 10], Opt: [31, 21, 16, 13, 11, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 9, 10], [6, 6, 6, 8, 9]]
[[8, 9, 9], [6, 6, 6, 10], [7]]
[[6, 6, 8], [7], [9, 9], [6, 10]]
[[6, 6], [6, 9], [7, 10], [8], [9]]
[[6, 7], [8], [6, 6], [9], [10], [9]]
[[9], [8], [9], [6, 6], [6], [7], [10]]
[[6], [8], [7], [6], [10], [9], [9], [6]]
-EndAllocation

Instance: [[1], [60], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 8, 8, 9, 10]; Results for m' = 2,...,8. UB Alg: [40, 26, 20, 16, 13, 12, 10], Opt: [30, 20, 15, 12, 10, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 9, 10], [6, 6, 7, 8, 8]]
[[8, 8, 9], [7, 10], [6, 6, 6]]
[[8, 9], [8, 10], [6, 6, 6], [7]]
[[7, 8], [6, 6], [10], [6, 8], [9]]
[[6, 7], [6, 6], [8], [8], [10], [9]]
[[6], [9], [10], [8], [6, 6], [7], [8]]
[[6], [8], [9], [6], [10], [6], [7], [8]]
-EndAllocation

Instance: [[1], [59], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 7, 8, 9, 10]; Results for m' = 2,...,8. UB Alg: [40, 26, 20, 16, 13, 12, 10], Opt: [30, 20, 15, 12, 10, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[9, 10], [6, 6, 6, 7, 7, 8]]
[[7, 8, 9], [7, 10], [6, 6, 6]]
[[7, 9], [8, 10], [6, 6, 6], [7]]
[[7, 8], [6, 6], [7], [6, 10], [9]]
[[6, 7], [6, 6], [7], [8], [10], [9]]
[[6], [9], [10], [7], [6, 6], [7], [8]]
[[6], [8], [9], [6], [10], [7], [7], [6]]
-EndAllocation

Instance: [[1], [58], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 8, 9, 10]; Results for m' = 2,...,8. UB Alg: [38, 26, 20, 16, 13, 12, 10], Opt: [29, 20, 15, 12, 10, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 9, 10], [6, 6, 6, 7, 8]]
[[7, 8, 9], [10], [6, 6, 6, 6]]
[[6, 9], [8, 10], [6, 6, 6], [7]]
[[7, 8], [6, 6], [10], [6, 6], [9]]
[[6, 7], [6, 6], [10], [8], [6], [9]]
[[6, 6], [9], [10], [8], [6, 6], [], [7]]
[[6], [8], [9], [6], [10], [6], [7], [6]]
-EndAllocation

Instance: [[1], [57], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 7, 10, 10, 10]; Results for m' = 2,...,8. UB Alg: [38, 25, 20, 16, 13, 12, 10], Opt: [29, 19, 15, 12, 10, 9, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[5, 10, 10, 10], [5, 5, 5, 7]]
[[10, 10], [7, 10], [5, 5, 5, 5]]
[[], [5, 5, 5, 5], [7, 10], [10, 10]]
[[10], [5, 7], [10], [10], [5, 5, 5]]
[[5], [5, 5], [10], [5, 7], [10], [10]]
[[10], [5, 5], [7], [10], [5, 5], [], [10]]
[[], [10], [7], [5, 5], [], [10], [10], [5, 5]]
-EndAllocation

Instance: [[1], [72], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 7, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10], Opt: [36, 24, 18, 15, 12, 11, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[10, 10, 10], [3, 3, 7, 9, 10, 10]]
[[7, 9], [3, 3, 10, 10], [10, 10, 10]]
[[10, 10], [3, 3, 10], [10, 10], [7, 9]]
[[], [7, 9], [3, 3, 10], [10, 10], [10, 10]]
[[10], [10], [7, 9], [10], [3, 3, 10], [10]]
[[10], [10], [3, 9], [7], [3, 10], [10], [10]]
[[10], [3, 3], [7], [10], [10], [10], [9], [10]]
[[10], [10], [9], [], [3, 3], [7], [10], [10], [10]]
-EndAllocation

Instance: [[1], [71], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 5, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [48, 32, 24, 20, 16, 14, 12, 10], Opt: [36, 24, 18, 15, 12, 11, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 10, 10], [3, 3, 10, 10, 10, 10]]
[[10], [3, 3, 5, 10, 10], [10, 10, 10]]
[[10, 10], [3, 3, 10], [10, 10], [5, 10]]
[[], [10, 10], [3, 3, 10], [5, 10], [10, 10]]
[[10], [10], [5, 10], [10], [3, 3, 10], [10]]
[[10], [10], [3, 10], [10], [3, 10], [10], [5]]
[[10], [3, 3], [5], [10], [10], [10], [10], [10]]
[[10], [10], [10], [], [3, 3], [10], [10], [5], [10]]
-EndAllocation

Instance: [[1], [70], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 10, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [46, 32, 24, 18, 16, 13, 12, 10], Opt: [35, 24, 18, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 10], [5, 10, 10, 10, 10]]
[[5, 5], [5, 5, 10, 10], [10, 10, 10]]
[[10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[10], [5, 10], [5, 10], [5, 10], [5, 10]]
[[10], [5, 10], [5, 10], [5, 10], [5], [10]]
[[10], [5, 5], [10], [10], [5, 5], [10], [10]]
[[10], [10], [], [5, 5], [10], [10], [5, 5], [10]]
[[10], [10], [5, 5], [5, 5], [10], [10], [], [], [10]]
-EndAllocation

Instance: [[1], [69], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 8, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [46, 30, 24, 18, 16, 13, 12, 10], Opt: [35, 23, 18, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 8], [6, 10, 10, 10, 10]]
[[6, 8], [5, 5, 5, 10], [10, 10, 10]]
[[10], [8, 10], [10, 10], [5, 5, 5, 6]]
[[10], [10], [6, 10], [8, 10], [5, 5, 5]]
[[10], [5, 10], [5, 10], [5, 10], [8], [6]]
[[10], [10], [10], [6], [5, 5], [5, 8], [10]]
[[8], [10], [6], [5], [10], [10], [5, 5], [10]]
[[10], [10], [5, 5], [5], [10], [8], [6], [], [10]]
-EndAllocation

Instance: [[1], [68], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10], Opt: [34, 23, 17, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 8], [5, 10, 10, 10, 10]]
[[8], [5, 5, 5, 5, 10], [10, 10, 10]]
[[10], [8, 10], [10, 10], [5, 5, 5, 5]]
[[10], [10], [8, 10], [5, 5, 5], [5, 10]]
[[10], [5, 10], [5, 10], [5, 10], [5, 8], []]
[[10], [5], [10], [10], [5, 5], [5, 8], [10]]
[[8], [10], [], [5, 5], [10], [10], [5, 5], [10]]
[[10], [10], [5, 5], [5, 5], [10], [8], [], [], [10]]
-EndAllocation

Instance: [[1], [67], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 9, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [45, 30, 22, 18, 16, 13, 12, 10], Opt: [34, 23, 17, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 8], [5, 9, 10, 10, 10]]
[[8], [5, 5, 5, 5, 9], [10, 10, 10]]
[[10], [8, 9], [10, 10], [5, 5, 5, 5]]
[[10], [10], [8, 10], [5, 5, 5], [5, 9]]
[[10], [5, 10], [5, 9], [5, 10], [5, 8], []]
[[10], [5, 5], [10], [5], [9], [5, 8], [10]]
[[8], [10], [9], [5, 5], [10], [10], [5, 5], []]
[[9], [10], [5, 5], [5, 5], [10], [8], [], [], [10]]
-EndAllocation

Instance: [[1], [66], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 7, 9, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [44, 29, 22, 18, 14, 13, 12, 10], Opt: [33, 22, 17, 14, 11, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[10, 10, 10], [5, 5, 5, 5, 7, 9]]
[[10], [7, 10, 10], [5, 5, 5, 5, 9]]
[[5], [5, 5, 9], [10, 10], [5, 7, 10]]
[[10], [7, 10], [5, 5, 5], [9], [5, 10]]
[[10], [5, 7], [5, 5], [10], [10], [5, 9]]
[[7], [5, 5], [10], [5, 5], [10], [10], [9]]
[[10], [10], [5, 5], [9], [5, 5], [7], [10], []]
[[], [5, 5], [10], [10], [5, 5], [10], [9], [7], []]
-EndAllocation

Instance: [[1], [65], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 7, 7, 9, 10, 10, 10, 10]; Results for m' = 2,...,9. UB Alg: [44, 29, 22, 17, 14, 13, 12, 10], Opt: [33, 22, 17, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,9:
-StartAllocation
[[7, 7, 9], [1, 1, 10, 10, 10, 10]]
[[10], [1, 1, 7, 7, 10], [9, 10, 10]]
[[10], [7, 7], [10, 10], [1, 1, 9, 10]]
[[10], [9], [7, 10], [1, 1, 10], [7, 10]]
[[10], [10], [7, 7], [9], [1, 1, 10], [10]]
[[10], [1, 1, 7], [10], [9], [7], [10], [10]]
[[7], [], [10], [10], [10], [9], [1, 1, 10], [7]]
[[10], [10], [], [10], [], [7], [1, 1, 7], [9], [10]]
-EndAllocation

Instance: [[1], [80], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[10, 10, 10], [5, 5, 5, 5, 10, 10, 10]]
[[10, 10], [10, 10, 10], [5, 5, 5, 5, 10]]
[[10, 10], [10, 10], [5, 5, 5, 5], [10, 10]]
[[], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10]]
[[10], [5, 10], [5, 10], [5, 10], [5, 10], [10]]
[[10], [10], [10], [5, 5, 5], [10], [5, 10], [10]]
[[10], [5, 5], [10], [10], [5, 5], [10], [10], [10]]
[[10], [10], [10], [5, 5], [10], [], [5, 5], [10], [10]]
[[10], [10], [5, 5], [], [10], [10], [10], [5, 5], [10], []]
-EndAllocation

Instance: [[1], [79], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 7, 8, 9, 9, 10, 10]; Results for m' = 2,...,10. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12, 10], Opt: [40, 27, 20, 16, 14, 12, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[6, 7, 7, 7, 8, 9, 9], [6, 10, 10]]
[[6, 7, 7, 7, 9], [6, 9, 10, 10], [8]]
[[6, 6, 10], [10], [7, 9, 9], [7, 7, 8]]
[[10, 10], [6, 6], [9], [8, 9], [7, 7, 7]]
[[9, 9], [7, 7], [10], [7, 10], [8], [6, 6]]
[[6, 7], [8], [6, 10], [10], [9], [9], [7, 7]]
[[8], [6, 7], [9], [10], [6, 7], [10], [7], [9]]
[[7], [10], [9], [10], [6, 6], [9], [8], [7], [7]]
[[7], [6], [8], [10], [10], [9], [9], [7], [6], [7]]
-EndAllocation

Instance: [[1], [78], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 8, 8, 10, 10, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12, 10], Opt: [39, 26, 20, 16, 13, 12, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[4, 4, 4, 8, 8], [10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 8, 8], [10, 10, 10]]
[[4], [4, 10, 10], [8, 8, 10], [4, 10, 10]]
[[], [10, 10], [8, 10], [4, 4, 4, 8], [10, 10]]
[[10], [10], [8, 8], [4, 10], [4, 10], [4, 10]]
[[10], [10], [8, 8], [10], [10], [4, 4, 4], [10]]
[[10], [8], [4, 8], [10], [10], [4, 4], [10], [10]]
[[8], [10], [8], [10], [10], [10], [10], [], [4, 4, 4]]
[[], [10], [8], [4], [8], [4, 4], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [77], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12, 10], Opt: [39, 26, 20, 16, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[10, 10, 10], [4, 4, 4, 5, 10, 10, 10]]
[[10, 10], [5, 10, 10], [4, 4, 4, 10, 10]]
[[10], [4, 4, 10], [4, 10, 10], [5, 10, 10]]
[[10], [4, 4, 4], [5, 10], [10, 10], [10, 10]]
[[10], [5, 10], [10], [4, 10], [4, 10], [4, 10]]
[[10], [5], [4, 10], [4, 10], [4, 10], [10], [10]]
[[10], [10], [10], [4, 4, 4], [10], [10], [5], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [], [5]]
[[10], [], [10], [10], [10], [10], [10], [], [4, 5], [4, 4]]
-EndAllocation

Instance: [[1], [76], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12, 10], Opt: [38, 26, 19, 16, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[10, 10, 10], [4, 4, 4, 4, 10, 10, 10]]
[[10, 10], [10, 10, 10], [4, 4, 4, 4, 10]]
[[10], [4, 4, 4, 10], [4, 10, 10], [10, 10]]
[[], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10]]
[[10], [4, 10], [10], [4, 10], [4, 10], [4, 10]]
[[10], [10], [4, 10], [4, 4, 4], [10], [10], [10]]
[[10], [10], [10], [4, 4, 4], [4], [10], [10], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [4], []]
[[10], [], [10], [10], [4, 4], [10], [10], [], [10], [4, 4]]
-EndAllocation

Instance: [[1], [75], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 7, 7, 8, 9, 9, 10]; Results for m' = 2,...,10. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12, 10], Opt: [38, 25, 19, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[6, 6, 6, 7, 7, 7, 10], [8, 9, 9]]
[[6, 6, 6, 7, 8], [7, 7], [9, 9, 10]]
[[7, 7, 7], [9, 9], [6, 6, 6], [8, 10]]
[[6, 6, 6], [9, 10], [7, 9], [8], [7, 7]]
[[7, 8], [7, 7], [10], [9], [6, 6], [6, 9]]
[[6, 7], [6, 6], [9], [8], [9], [7, 7], [10]]
[[6, 7], [7], [7], [9], [6, 6], [9], [8], [10]]
[[6, 6], [7], [9], [10], [7], [8], [7], [9], [6]]
[[7], [6], [9], [8], [6], [6], [7], [10], [7], [9]]
-EndAllocation

Instance: [[1], [74], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 10], [4, 4, 4, 4, 10, 10, 10]]
[[10, 10], [9, 9, 10], [4, 4, 4, 4, 10]]
[[4], [4, 9, 9], [4, 10, 10], [4, 10, 10]]
[[], [4, 4, 4, 4], [10, 10], [10, 10], [9, 9]]
[[10], [4, 9], [10], [4, 10], [4, 4, 9], [10]]
[[10], [9], [4, 10], [4, 4, 4], [9], [10], [10]]
[[], [10], [10], [4, 4, 4], [4, 9], [9], [10], [10]]
[[10], [10], [10], [9], [9], [10], [4, 4, 4], [4], []]
[[10], [9], [10], [10], [], [10], [], [9], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [73], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 9, 9, 9, 10, 10, 10]; Results for m' = 2,...,10. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12, 10], Opt: [37, 25, 19, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 9], [4, 4, 4, 4, 10, 10, 10]]
[[10, 10], [9, 9, 9], [4, 4, 4, 4, 10]]
[[4], [4, 9, 9], [4, 10, 10], [4, 9, 10]]
[[], [4, 4, 4, 4], [10, 10], [9, 10], [9, 9]]
[[10], [9], [10], [4, 4, 9], [4, 4, 9], [10]]
[[10], [9], [4, 10], [4, 4, 4], [9], [9], [10]]
[[], [10], [9], [4, 4, 4], [4, 9], [9], [10], [10]]
[[], [10], [10], [9], [9], [10], [4, 4, 4], [4], [9]]
[[9], [9], [10], [10], [], [10], [], [9], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [88], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12, 10], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 10, 10], [5, 5, 5, 5, 9, 9, 10, 10]]
[[10], [10, 10, 10, 10], [5, 5, 5, 5, 9, 9]]
[[10], [5, 10, 10], [9, 9, 10], [5, 5, 5, 10]]
[[10], [5, 5, 5, 5], [10, 10], [10, 10], [9, 9]]
[[], [9, 9], [10, 10], [10], [5, 5, 5, 5], [10, 10]]
[[10], [5, 10], [5, 10], [10], [10], [5, 9], [5, 9]]
[[10], [5, 9], [5, 5], [5, 9], [10], [10], [10], [10]]
[[10], [9], [5, 5], [10], [10], [10], [9], [5, 5], [10]]
[[10], [9], [10], [5, 5], [9], [5, 5], [10], [], [10], [10]]
[[9], [10], [], [10], [9], [10], [10], [5, 5], [5, 5], [], [10]]
-EndAllocation

Instance: [[1], [87], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12, 10], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 10, 10], [5, 5, 5, 5, 8, 9, 10, 10]]
[[10, 10], [10, 10, 10], [5, 5, 5, 5, 8, 9]]
[[10], [5, 10, 10], [9, 10, 10], [5, 5, 5, 8]]
[[10], [5, 5, 5, 5], [8, 10], [10, 10], [9, 10]]
[[], [5, 5, 9], [10, 10], [8, 10], [5, 5, 10], [10]]
[[10], [5, 5], [5, 10], [10], [10], [8, 9], [5, 10]]
[[10], [5, 8], [5, 5], [5, 9], [10], [10], [10], [10]]
[[10], [10], [5, 5], [10], [10], [10], [9], [5, 5], [8]]
[[10], [5, 5], [10], [5, 5], [9], [8], [10], [], [10], [10]]
[[9], [10], [], [10], [8], [10], [10], [5, 5], [5, 5], [], [10]]
-EndAllocation

Instance: [[1], [86], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 7, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12, 10], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 10, 10], [5, 5, 5, 5, 7, 9, 10, 10]]
[[10, 10], [10, 10, 10], [5, 5, 5, 5, 7, 9]]
[[7], [5, 10, 10], [9, 10, 10], [5, 5, 5, 10]]
[[10], [5, 5, 5, 5], [7, 10], [10, 10], [9, 10]]
[[], [5, 5, 9], [10, 10], [10, 10], [5, 5], [7, 10]]
[[10], [5, 5, 7], [5, 10], [10], [10], [5, 9], [10]]
[[10], [10], [5, 9], [10], [10], [5, 7], [5, 5], [10]]
[[7], [10], [5, 5], [10], [10], [10], [9], [5, 5], [10]]
[[10], [], [10], [5, 5], [9], [5, 5], [7], [10], [10], [10]]
[[9], [7], [10], [10], [], [10], [10], [5, 5], [5, 5], [], [10]]
-EndAllocation

Instance: [[1], [85], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 8, 9, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12, 10], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[8, 10, 10], [5, 5, 5, 5, 8, 9, 10, 10]]
[[10], [8, 10, 10, 10], [5, 5, 5, 5, 8, 9]]
[[10], [8, 10, 10], [5, 9, 10], [5, 5, 5, 8]]
[[8], [5, 5, 5, 5], [8, 10], [10, 10], [9, 10]]
[[5], [5, 5, 9], [10, 10], [8, 10], [5], [8, 10]]
[[10], [5, 5], [5, 8], [10], [10], [8, 9], [5, 10]]
[[10], [5, 8], [8], [5, 5], [10], [5, 9], [10], [10]]
[[10], [10], [5, 5], [10], [8], [10], [9], [5, 5], [8]]
[[10], [5, 5], [10], [5, 5], [9], [8], [8], [], [10], [10]]
[[9], [10], [], [10], [8], [], [10], [5, 5], [5, 5], [8], [10]]
-EndAllocation

Instance: [[1], [84], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 7, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[3, 3, 3, 10, 10], [7, 8, 10, 10, 10, 10]]
[[3, 10], [7, 8, 10, 10], [3, 3, 10, 10, 10]]
[[10], [3, 3, 3, 10], [8, 10, 10], [7, 10, 10]]
[[10], [10, 10], [10, 10], [7, 10], [3, 3, 3, 8]]
[[10], [7, 10], [10], [8, 10], [3, 3, 10], [3, 10]]
[[10], [10], [7, 8], [3, 10], [3, 3, 10], [10], [10]]
[[10], [3, 10], [10], [7], [8], [3, 10], [10], [3, 10]]
[[10], [3, 3, 3], [10], [7], [10], [10], [8], [10], [10]]
[[8], [10], [7], [], [3, 3, 3], [10], [10], [10], [10], [10]]
[[10], [8], [], [10], [10], [10], [7], [3, 3, 3], [], [10], [10]]
-EndAllocation

Instance: [[1], [83], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12, 10], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[3, 6, 10, 10], [3, 3, 8, 10, 10, 10, 10]]
[[10], [3, 3, 3, 8, 10, 10], [6, 10, 10, 10]]
[[10], [3, 3, 3, 6, 10], [8, 10, 10], [10, 10]]
[[10], [10, 10], [10, 10], [6, 10], [3, 3, 3, 8]]
[[10], [10], [6, 10], [8, 10], [3, 3, 10], [3, 10]]
[[10], [10], [6, 10], [3, 10], [3, 3, 10], [10], [8]]
[[10], [3, 10], [10], [10], [8], [3, 6], [10], [3, 10]]
[[10], [3, 3, 3], [10], [10], [10], [10], [8], [10], [6]]
[[8], [10], [3], [], [3, 3, 6], [10], [10], [10], [10], [10]]
[[10], [8], [10], [10], [10], [10], [], [3, 3, 3], [], [6], [10]]
-EndAllocation

Instance: [[1], [82], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 8, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12, 10], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 10, 10], [2, 2, 2, 8, 8, 10, 10, 10]]
[[10], [8, 8, 10, 10], [2, 2, 2, 10, 10, 10]]
[[], [2, 2, 2, 10, 10], [8, 10, 10], [8, 10, 10]]
[[], [10, 10], [2, 10, 10], [10, 10], [2, 2, 8, 8]]
[[10], [2, 2, 2, 10], [8, 10], [8, 10], [10], [10]]
[[10], [10], [10], [10], [10], [2, 2, 2, 10], [8, 8]]
[[10], [10], [2, 10], [2, 2, 10], [8], [10], [8], [10]]
[[10], [10], [2, 2, 2], [10], [10], [10], [8], [10], [8]]
[[8], [10], [8], [], [10], [10], [10], [2, 2, 2], [10], [10]]
[[10], [2, 2, 2], [8], [10], [10], [10], [8], [], [], [10], [10]]
-EndAllocation

Instance: [[1], [81], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 7, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,11. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12, 12, 10], Opt: [41, 27, 21, 17, 14, 12, 11, 9, 9, 8]
Allocation for m' = 2,...,11:
-StartAllocation
[[7, 10, 10], [2, 2, 2, 8, 10, 10, 10, 10]]
[[10], [7, 8, 10, 10], [2, 2, 2, 10, 10, 10]]
[[], [2, 2, 2, 10, 10], [8, 10, 10], [7, 10, 10]]
[[], [10, 10], [2, 10, 10], [10, 10], [2, 2, 7, 8]]
[[10], [2, 2, 2, 10], [10], [8, 10], [10], [7, 10]]
[[10], [10], [7, 8], [10], [10], [2, 2, 2, 10], [10]]
[[10], [10], [10], [2, 2, 2, 7], [8], [10], [10], [10]]
[[10], [10], [2, 2, 2], [7], [10], [10], [8], [10], [10]]
[[8], [10], [7], [], [10], [10], [10], [2, 2, 2], [10], [10]]
[[10], [2, 2, 2], [8], [10], [10], [10], [7], [], [], [10], [10]]
-EndAllocation

Instance: [[1], [96], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12, 10], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 6, 9, 9], [4, 10, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 6, 9, 9], [10, 10, 10, 10]]
[[10, 10], [10, 10], [9, 9, 10], [4, 4, 4, 6, 10]]
[[], [10, 10], [4, 10, 10], [6, 10, 10], [4, 4, 9, 9]]
[[10], [10, 10], [10, 10], [9, 9], [6, 10], [4, 4, 4]]
[[10], [10], [6, 10], [9, 9], [4, 4, 10], [4, 10], [10]]
[[10], [10], [6, 10], [9], [4, 9], [10], [4, 10], [4, 10]]
[[10], [4, 10], [9], [6], [10], [9], [10], [4, 10], [4, 10]]
[[10], [10], [10], [9], [9], [6], [10], [4, 4, 4], [10], [10]]
[[10], [10], [4, 4, 4], [9], [9], [], [10], [10], [6], [10], [10]]
[[10], [6], [4, 4], [10], [10], [4], [], [9], [10], [10], [10], [9]]
-EndAllocation

Instance: [[1], [95], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 6, 9, 10], [4, 8, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 6, 8, 9], [10, 10, 10, 10]]
[[10, 10, 10], [10, 10], [9, 10], [4, 4, 4, 6, 8]]
[[10, 10], [10, 10], [8, 10], [6, 10], [4, 4, 4, 9]]
[[], [10, 10], [10, 10], [9, 10], [6, 10], [4, 4, 4, 8]]
[[10], [8, 10], [6, 10], [4, 4, 9], [4, 10], [10], [10]]
[[10], [10], [6, 10], [10], [4, 9], [10], [4, 10], [4, 8]]
[[8], [4, 10], [9], [6], [10], [10], [10], [4, 10], [4, 10]]
[[10], [10], [10], [9], [10], [6], [4, 8], [4, 4], [10], [10]]
[[10], [10], [4, 4, 4], [9], [10], [], [10], [10], [8], [10], [6]]
[[10], [6], [4, 4], [10], [10], [4], [], [9], [10], [8], [10], [10]]
-EndAllocation

Instance: [[1], [94], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 8, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12, 10], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 9, 10, 10], [3, 3, 8, 8, 10, 10, 10, 10]]
[[10, 10], [3, 3, 3, 8, 8, 9], [10, 10, 10, 10]]
[[10], [3, 3, 3, 10, 10], [9, 10, 10], [8, 8, 10]]
[[10], [3, 10, 10], [3, 3, 8, 8], [10, 10], [9, 10]]
[[], [3, 3, 3, 10], [10, 10], [9, 10], [10, 10], [8, 8]]
[[10], [3, 3, 3, 9], [8, 10], [8, 10], [10], [10], [10]]
[[10], [10], [10], [3, 10], [10], [10], [3, 3, 9], [8, 8]]
[[8], [3, 10], [9], [10], [10], [8], [10], [3, 10], [3, 10]]
[[10], [10], [10], [9], [10], [10], [3, 8], [3, 3], [10], [8]]
[[], [10], [10], [3, 9], [10], [3, 8], [10], [10], [3, 8], [10], []]
[[10], [10], [], [10], [10], [], [10], [9], [8], [8], [10], [3, 3, 3]]
-EndAllocation

Instance: [[1], [93], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 8, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12, 10], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 3, 6, 10, 10], [3, 8, 10, 10, 10, 10, 10]]
[[10, 10], [3, 3, 3, 6, 8, 10], [10, 10, 10, 10]]
[[10], [3, 3, 3, 10, 10], [10, 10, 10], [6, 8, 10]]
[[10], [3, 10, 10], [3, 3, 8, 10], [6, 10], [10, 10]]
[[], [3, 3, 10], [10, 10], [10, 10], [3, 6, 10], [8, 10]]
[[10], [8, 10], [6, 10], [3, 3, 10], [3, 10], [10], [10]]
[[10], [10], [6, 10], [3, 10], [10], [10], [3, 3, 10], [8]]
[[8], [3, 10], [10], [6], [10], [10], [10], [3, 10], [3, 10]]
[[10], [10], [10], [10], [10], [6], [3, 8], [3, 3], [10], [10]]
[[10], [10], [10], [3, 3], [10], [], [10], [10], [3, 8], [10], [6]]
[[10], [6], [], [10], [10], [10], [10], [], [10], [8], [10], [3, 3, 3]]
-EndAllocation

Instance: [[1], [92], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12, 10], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 4, 6, 10], [10, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 4, 6, 10], [10, 10, 10, 10]]
[[10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 6]]
[[10, 10], [10, 10], [10, 10], [6, 10], [4, 4, 4, 4]]
[[], [10, 10], [10, 10], [10, 10], [6, 10], [4, 4, 4, 4]]
[[10], [6, 10], [4, 4, 10], [10], [10], [10], [4, 4, 10]]
[[10], [10], [6, 10], [10], [10], [10], [4, 4, 4, 4], [10]]
[[10], [4, 10], [10], [6], [10], [10], [10], [4, 4, 4], [10]]
[[10], [10], [10], [4], [10], [6], [10], [4, 4, 4], [10], [10]]
[[10], [10], [4, 4, 4], [10], [4], [], [10], [10], [6], [10], [10]]
[[10], [6], [4, 4], [10], [10], [4, 4], [], [], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [91], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 7, 8, 8, 8, 8, 8, 8, 9, 10]; Results for m' = 2,...,12. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12, 10], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8], [5, 5, 7, 9, 10]]
[[5, 5, 7, 8], [8, 8, 8, 8, 8], [7, 9, 10]]
[[5, 5, 7, 9], [7, 10], [8, 8, 8], [8, 8, 8]]
[[7, 7], [5, 5], [9, 10], [8, 8, 8], [8, 8, 8]]
[[7, 10], [5, 5, 8], [8, 8], [8, 8], [9], [7, 8]]
[[7, 7], [8, 8], [8, 8], [5, 5], [9], [10], [8, 8]]
[[7, 7], [5, 5], [8, 8], [9], [8, 8], [], [10], [8, 8]]
[[5, 8], [10], [9], [8], [8], [8], [7, 7], [8], [5, 8]]
[[5, 8], [8], [9], [7], [8], [8], [8], [10], [7], [5, 8]]
[[8], [8], [8], [5, 7], [8], [9], [8], [8], [7], [10], [5]]
[[8], [7], [8], [8], [8], [8], [], [8], [10], [7], [5, 5], [9]]
-EndAllocation

Instance: [[1], [90], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 5, 5, 5, 5, 9], [6, 10, 10, 10, 10, 10]]
[[10, 10], [5, 5, 5, 5, 5, 10], [6, 9, 10, 10]]
[[10], [5, 5, 5, 5, 5], [6, 9, 10], [10, 10, 10]]
[[10], [10, 10], [5, 5, 5, 9], [6, 10], [5, 5, 10]]
[[], [10, 10], [5, 10], [5, 5, 5, 5], [6, 9], [10, 10]]
[[10], [10], [5, 10], [6, 10], [10], [5, 9], [5, 5, 5]]
[[10], [5, 9], [10], [5, 5, 5], [], [10], [6, 10], [5, 10]]
[[10], [9], [10], [5, 5], [5, 6], [10], [10], [10], [5, 5]]
[[10], [10], [], [5, 5], [10], [5, 5], [10], [5, 6], [9], [10]]
[[], [], [5, 5], [5, 6], [5, 5], [10], [10], [10], [10], [10], [9]]
[[], [6], [9], [10], [10], [5], [10], [10], [5, 5], [10], [], [5, 5]]
-EndAllocation

Instance: [[1], [89], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,12. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12, 12, 10], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9, 9, 8]
Allocation for m' = 2,...,12:
-StartAllocation
[[3, 3, 3, 3, 7, 10], [10, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10], [3, 3, 3, 3, 7, 10, 10]]
[[], [10, 10, 10], [3, 3, 3, 3, 7, 10], [10, 10, 10]]
[[10], [10, 10], [7, 10], [10, 10], [3, 3, 3, 3, 10]]
[[], [10, 10], [10, 10], [7, 10], [3, 3, 3, 3], [10, 10]]
[[10], [10], [10], [7, 10], [10], [3, 3, 10], [3, 3, 10]]
[[10], [3, 3, 3, 7], [3, 10], [10], [10], [10], [10], [10]]
[[10], [3, 3, 3, 3], [10], [10], [10], [10], [10], [7], [10]]
[[10], [10], [10], [10], [10], [], [3, 3, 3, 3], [10], [10], [7]]
[[], [], [10], [10], [10], [3, 3, 3, 3], [10], [10], [10], [10], [7]]
[[], [3], [10], [10], [7], [3, 3, 3], [10], [10], [10], [10], [], [10]]
-EndAllocation

Instance: [[1], [104], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10]; Results for m' = 2,...,13. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8], [6, 6, 9, 9, 10, 10]]
[[7, 7], [6, 8, 8, 8, 8, 8], [6, 9, 9, 10, 10]]
[[8, 8, 8, 8], [7, 7, 8], [6, 10], [6, 9, 9, 10]]
[[8, 8, 8], [6, 6], [7, 7, 10], [9, 9, 10], [8, 8]]
[[7, 7], [8, 8], [9, 9], [10, 10], [6, 6], [8, 8, 8]]
[[6, 6], [8, 8], [8], [7, 7], [9, 9], [10, 10], [8, 8]]
[[7, 7], [8, 8], [8, 8], [6, 9], [10], [6, 9], [10], [8]]
[[7, 7], [10], [8, 8], [6, 10], [9], [8], [], [6, 9], [8, 8]]
[[6, 8], [8], [10], [8], [8], [9], [7, 7], [10], [6, 8], [9]]
[[6, 7], [8], [9], [8], [8], [10], [9], [8], [6, 7], [10], [8]]
[[10], [8], [8], [9], [6, 6], [8], [10], [9], [7], [8], [7], [8]]
[[8], [8], [10], [8], [10], [9], [6], [9], [6], [7], [8], [7], [8]]
-EndAllocation

Instance: [[1], [103], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12, 10], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 7, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 7, 10, 10]]
[[10], [10, 10, 10], [4, 4, 4, 4, 7, 10], [10, 10, 10]]
[[], [10, 10], [7, 10, 10], [4, 4, 10, 10], [4, 4, 10, 10]]
[[], [4, 10, 10], [10, 10], [4, 4, 4, 7], [10, 10], [10, 10]]
[[], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [7], [10, 10]]
[[10], [10], [4, 10], [7, 10], [4, 10], [10], [4, 10], [4, 10]]
[[10], [4, 10], [4, 10], [10], [4, 4, 7], [10], [10], [10], [10]]
[[10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [7], [4, 10]]
[[10], [4, 7], [10], [4, 4, 4], [10], [10], [10], [], [10], [10], [10]]
[[10], [10], [4, 4, 4], [10], [4, 7], [10], [10], [], [10], [], [10], [10]]
[[], [10], [10], [10], [10], [10], [10], [10], [], [4, 4], [10], [4, 4], [7]]
-EndAllocation

Instance: [[1], [102], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 6, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [6, 10, 10, 10], [4, 4, 4, 4, 10, 10]]
[[10], [10, 10, 10], [4, 4, 4, 4, 6, 10], [10, 10, 10]]
[[], [10, 10], [6, 10, 10], [4, 4, 10, 10], [4, 4, 10, 10]]
[[10], [10, 10], [10, 10], [4, 4, 4, 4], [10, 10], [6, 10]]
[[], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10], [6, 10]]
[[10], [4, 10], [4, 10], [10], [6, 10], [10], [4, 10], [4, 10]]
[[10], [10], [10], [10], [10], [10], [6, 10], [4, 4, 4, 4], [10]]
[[10], [10], [10], [4, 4, 4], [10], [6], [10], [10], [10], [4, 10]]
[[10], [4], [6], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10]]
[[10], [10], [4, 4, 4], [10], [4, 6], [10], [10], [], [10], [], [10], [10]]
[[], [10], [10], [10], [10], [10], [10], [4, 6], [], [4, 4], [10], [4], [10]]
-EndAllocation

Instance: [[1], [101], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12, 10], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 5, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 5, 10, 10]]
[[10, 10], [10, 10, 10], [4, 4, 4, 4, 10], [5, 10, 10]]
[[], [10, 10], [4, 4, 10, 10], [4, 4, 10, 10], [5, 10, 10]]
[[], [10, 10], [10, 10], [4, 4, 4, 4, 5], [10, 10], [10, 10]]
[[], [4, 4, 4, 4], [10, 10], [10, 10], [5, 10], [10], [10, 10]]
[[10], [4, 10], [4, 10], [10], [5, 10], [10], [4, 10], [4, 10]]
[[10], [10], [10], [10], [10], [5, 10], [10], [4, 4, 4, 4], [10]]
[[10], [5], [10], [4, 4, 4], [10], [10], [10], [10], [10], [4, 10]]
[[10], [4], [10], [4, 4, 4], [5], [10], [10], [10], [10], [10], [10]]
[[10], [10], [4], [10], [4, 4, 4], [5], [10], [], [10], [10], [10], [10]]
[[], [5], [10], [10], [10], [10], [10], [10], [], [4, 4], [10], [4, 4], [10]]
-EndAllocation

Instance: [[1], [100], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12, 10], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 6, 8, 10], [4, 10, 10, 10, 10, 10, 10]]
[[6, 8], [4, 10, 10, 10, 10], [4, 4, 4, 10, 10, 10]]
[[10], [8, 10, 10], [10, 10, 10], [4, 4, 4, 4, 6, 10]]
[[10], [10, 10], [6, 10, 10], [10, 10], [4, 4, 4, 4, 8]]
[[8], [4, 4, 4, 4], [10, 10], [10, 10], [6, 10], [10, 10]]
[[], [6], [8, 10], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10]]
[[10], [4, 10], [4, 10], [10], [6, 10], [10], [4, 8], [4, 10]]
[[10], [10], [4, 4, 6], [4, 10], [4, 10], [8], [10], [10], [10]]
[[10], [4, 8], [10], [10], [10], [6], [10], [10], [10], [4, 4, 4]]
[[10], [10], [10], [4], [6], [10], [10], [4, 4, 4], [8], [10], [10]]
[[10], [], [], [10], [6], [4, 8], [10], [10], [10], [4, 4, 4], [10], [10]]
[[], [10], [10], [10], [8], [4, 4], [], [4, 4], [10], [10], [10], [6], [10]]
-EndAllocation

Instance: [[1], [99], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12, 12, 10], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[7, 10, 10, 10], [3, 3, 3, 3, 10, 10, 10, 10, 10]]
[[3, 10], [3, 3, 7, 10, 10, 10], [3, 10, 10, 10, 10]]
[[10], [10, 10, 10], [3, 10, 10, 10], [3, 3, 3, 7, 10]]
[[10], [3, 3, 7, 10], [10, 10], [3, 3, 10, 10], [10, 10]]
[[], [7, 10], [3, 3, 3, 3, 10], [10, 10], [10, 10], [10, 10]]
[[], [7, 10], [10, 10], [10, 10], [10, 10], [10], [3, 3, 3, 3]]
[[10], [10], [3, 3, 10], [10], [7, 10], [10], [3, 3, 10], [10]]
[[10], [10], [10], [10], [10], [3, 10], [3, 3, 7], [10], [3, 10]]
[[10], [10], [3, 3, 3, 3], [10], [10], [7], [10], [10], [10], [10]]
[[10], [3, 3, 3, 3], [10], [10], [10], [10], [10], [10], [10], [7], []]
[[10], [7], [10], [10], [10], [10], [], [10], [10], [], [10], [3, 3, 3, 3]]
[[], [10], [10], [10], [10], [10], [10], [7], [10], [], [10], [3, 3, 3], [3]]
-EndAllocation

Instance: [[1], [98], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[8, 9, 9, 10], [3, 3, 3, 3, 10, 10, 10, 10, 10]]
[[10, 10], [8, 9, 9, 10], [3, 3, 3, 3, 10, 10, 10]]
[[10], [3, 3, 3, 3, 10, 10], [8, 10, 10], [9, 9, 10]]
[[10], [3, 3, 10, 10], [9, 9], [8, 10], [3, 3, 10, 10]]
[[], [3, 3, 3, 3, 9], [9, 10], [10, 10], [10, 10], [8, 10]]
[[10], [10], [3, 3, 10], [8, 10], [3, 3, 10], [10], [9, 9]]
[[10], [10], [10], [10], [3, 3, 10], [3, 3, 9], [10], [8, 9]]
[[10], [3, 10], [3, 9], [9], [3, 10], [10], [8], [3, 10], [10]]
[[9], [3, 3, 3, 3], [10], [10], [9], [10], [10], [8], [10], [10]]
[[10], [9], [10], [10], [8], [], [10], [10], [10], [9], [3, 3, 3, 3]]
[[9], [10], [10], [10], [10], [3, 3, 3, 3], [8], [], [10], [9], [10], []]
[[], [10], [10], [9], [3], [10], [10], [8], [3, 3, 3], [10], [9], [10], []]
-EndAllocation

Instance: [[1], [97], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 8, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,13. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12, 12, 10], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,13:
-StartAllocation
[[8, 9, 9, 9], [3, 3, 3, 3, 10, 10, 10, 10, 10]]
[[10, 10], [8, 9, 9, 9], [3, 3, 3, 3, 10, 10, 10]]
[[10], [3, 3, 3, 3, 10, 10], [8, 10, 10], [9, 9, 9]]
[[10], [3, 3, 10, 10], [9, 9], [8, 10], [3, 3, 9, 10]]
[[], [3, 3, 3, 3, 9], [9, 9], [10, 10], [10, 10], [8, 10]]
[[10], [10], [3, 3, 10], [10], [3, 3, 9], [8, 10], [9, 9]]
[[10], [9], [10], [10], [3, 3, 10], [3, 3, 9], [10], [8, 9]]
[[9], [3, 10], [3, 9], [9], [3, 10], [10], [8], [3, 10], [10]]
[[9], [3, 3, 3, 3], [10], [10], [9], [10], [8], [9], [10], [10]]
[[9], [9], [10], [10], [8], [], [10], [10], [10], [9], [3, 3, 3, 3]]
[[9], [10], [10], [10], [], [3, 3, 3, 3], [8], [9], [10], [9], [10], []]
[[9], [10], [10], [9], [3], [10], [], [8], [3, 3, 3], [10], [9], [10], []]
-EndAllocation

Instance: [[1], [112], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 8, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 5, 5, 10, 10], [5, 8, 9, 10, 10, 10, 10, 10]]
[[8, 10], [5, 5, 5, 5, 5, 9, 10], [10, 10, 10, 10, 10]]
[[10], [8, 9, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 10]]
[[], [8, 10, 10], [9, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5]]
[[10], [8, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5], [9, 10]]
[[], [10, 10], [8, 10], [10, 10], [5, 10], [5, 5, 5, 5], [9, 10]]
[[10], [9], [5, 10], [8, 10], [5, 10], [5, 10], [5, 10], [5, 10]]
[[10], [8, 9], [5, 10], [5, 5, 5], [10], [10], [10], [10], [5, 10]]
[[10], [10], [10], [10], [10], [5, 5, 5], [9], [5, 8], [5, 10], [10]]
[[10], [10], [9], [10], [10], [10], [10], [10], [5, 5], [5, 5], [5, 8]]
[[5, 5], [10], [5, 5], [10], [10], [10], [5, 8], [10], [9], [10], [], [10]]
[[10], [10], [5], [10], [10], [9], [10], [10], [5, 5], [8], [], [10], [5, 5]]
[[10], [10], [8], [10], [10], [10], [9], [5, 5], [], [5, 5], [10], [10], [5], []]
-EndAllocation

Instance: [[1], [111], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12, 10], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 5, 5, 10, 10], [5, 8, 8, 10, 10, 10, 10, 10]]
[[8, 10], [5, 5, 5, 5, 5, 10, 10], [8, 10, 10, 10, 10]]
[[10], [10, 10, 10], [8, 8, 10, 10], [5, 5, 5, 5, 5, 10]]
[[], [8, 8, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5]]
[[10], [8, 8], [10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10]]
[[], [10, 10], [8, 8], [10, 10], [5, 10], [5, 5, 5, 5], [10, 10]]
[[10], [5, 5, 5], [8, 10], [8, 10], [10], [5, 10], [5, 10], [10]]
[[10], [5, 10], [10], [5, 5, 5], [8, 8], [10], [10], [10], [5, 10]]
[[10], [10], [10], [10], [10], [5, 5, 5], [10], [8, 8], [5, 5], [10]]
[[10], [8], [10], [10], [10], [10], [10], [10], [5, 5], [5, 5], [5, 8]]
[[5, 5], [5, 8], [10], [10], [10], [10], [8], [10], [5, 5], [10], [], [10]]
[[10], [10], [5, 5], [10], [5], [10], [10], [10], [5, 5], [8], [], [10], [8]]
[[10], [8], [8], [10], [10], [10], [10], [5, 5], [], [5, 5], [10], [10], [5], []]
-EndAllocation

Instance: [[1], [110], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[10, 10, 10, 10], [3, 3, 5, 5, 7, 7, 10, 10, 10, 10]]
[[10, 10], [7, 10, 10, 10, 10], [3, 3, 5, 5, 7, 10, 10]]
[[10], [3, 3, 10, 10, 10], [5, 5, 7, 7, 10], [10, 10, 10]]
[[10], [7, 10, 10], [10, 10], [3, 3, 10, 10], [5, 5, 7, 10]]
[[10], [7, 10], [10, 10], [10, 10], [10, 10], [3, 3, 5, 5, 7]]
[[], [10, 10], [10, 10], [10, 10], [3, 3, 10], [7, 10], [5, 5, 7]]
[[10], [7, 10], [3, 3, 10], [10], [10], [5, 10], [5, 10], [7, 10]]
[[10], [7, 7], [5, 10], [5, 10], [10], [10], [10], [3, 3, 10], [10]]
[[10], [10], [5, 5], [3, 10], [10], [10], [10], [7, 7], [3, 10], [10]]
[[7], [10], [10], [10], [10], [5, 5], [10], [10], [3, 3, 7], [10], [10]]
[[10], [7], [10], [10], [10], [3, 3], [10], [7], [10], [5, 5], [10], [10]]
[[10], [], [10], [10], [10], [3, 3], [10], [10], [7], [7], [5, 5], [10], [10]]
[[10], [10], [10], [10], [], [], [7], [10], [3, 3], [10], [10], [5, 5], [7], [10]]
-EndAllocation

Instance: [[1], [109], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 7, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12, 10], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[9, 9, 9, 10], [5, 5, 5, 5, 5, 7, 10, 10, 10, 10]]
[[7, 10], [9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 9, 9]]
[[9, 9], [9, 10, 10], [5, 5, 5, 5, 5, 7], [10, 10, 10]]
[[], [7, 9, 10], [9, 10, 10], [9, 10, 10], [5, 5, 5, 5, 5]]
[[], [7, 9, 9], [10, 10], [9, 10], [10, 10], [5, 5, 5, 5, 5]]
[[], [9, 9], [10, 10], [10, 10], [5, 10], [7, 9], [5, 5, 5, 5]]
[[10], [5, 5, 5], [10], [5, 10], [9], [5, 10], [9, 9], [7, 10]]
[[9], [7, 9], [5, 10], [5, 9], [5, 10], [5, 10], [5, 10], [10], []]
[[10], [10], [5, 9], [10], [10], [5, 5], [10], [5, 7], [9], [5, 9]]
[[5, 7], [9], [9], [10], [10], [9], [5, 5], [10], [10], [10], [5, 5]]
[[10], [5], [10], [10], [9], [9], [10], [7], [5, 5], [5, 5], [9], [10]]
[[10], [5], [10], [10], [], [9], [10], [9], [9], [7], [5, 5], [10], [5, 5]]
[[], [10], [10], [10], [9], [9], [7], [5, 5], [], [9], [10], [5, 5], [5], [10]]
-EndAllocation

Instance: [[1], [108], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 8, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 9, 10, 10], [4, 4, 4, 4, 5, 10, 10, 10, 10, 10]]
[[10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 5, 9, 10]]
[[8], [4, 4, 4, 4, 10, 10], [5, 9, 10, 10], [10, 10, 10]]
[[], [4, 4, 10, 10], [8, 10, 10], [4, 10, 10], [4, 5, 9, 10]]
[[], [10, 10], [10, 10], [4, 4, 4, 4, 8], [10, 10], [5, 9, 10]]
[[], [10, 10], [10, 10], [8, 10], [4, 4, 4, 4], [10, 10], [5, 9]]
[[10], [5, 10], [10], [10], [8, 10], [4, 4, 10], [4, 4, 9], [10]]
[[9], [4, 10], [8], [5, 10], [4, 10], [10], [4, 10], [4, 10], [10]]
[[10], [10], [10], [8], [10], [10], [10], [5, 9], [4, 10], [4, 4, 4]]
[[10], [4, 4, 4], [5], [10], [10], [9], [10], [10], [4, 8], [10], [10]]
[[10], [10], [4, 4, 4], [10], [4], [9], [10], [8], [10], [5], [10], [10]]
[[10], [], [10], [10], [4], [8], [10], [10], [9], [4, 4, 4], [5], [10], [10]]
[[8], [10], [10], [4, 4], [9], [], [4, 4], [10], [], [10], [10], [5], [10], [10]]
-EndAllocation

Instance: [[1], [107], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 8, 9, 10, 10]]
[[10, 10], [5, 5, 5, 5, 5, 5, 8, 10], [9, 10, 10, 10]]
[[10], [10, 10, 10], [5, 9, 10, 10], [5, 5, 5, 5, 5, 8]]
[[10], [5, 9, 10], [5, 5, 5, 5, 5], [8, 10, 10], [10, 10]]
[[10], [10, 10], [8, 9], [5, 5, 10], [5, 5, 5, 5], [10, 10]]
[[], [5, 5, 5, 5], [5, 5, 10], [10, 10], [8], [10, 10], [9, 10]]
[[10], [5, 10], [5, 10], [10], [9], [5, 5, 5], [5, 10], [8, 10]]
[[10], [9], [10], [10], [5, 10], [10], [5, 10], [5, 8], [5, 5, 5]]
[[10], [5, 5], [5, 8], [10], [10], [5, 9], [10], [10], [5, 5], [10]]
[[10], [5, 5], [10], [8], [9], [10], [5, 5], [10], [10], [5, 5], [10]]
[[5, 5], [10], [8], [], [10], [5, 5], [10], [5, 5], [10], [10], [10], [9]]
[[], [5, 5], [10], [9], [10], [], [5, 5], [10], [10], [10], [10], [8], [5, 5]]
[[9], [8], [10], [10], [10], [10], [10], [5, 5], [], [5, 5], [5, 5], [10], [], []]
-EndAllocation

Instance: [[1], [106], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12, 12, 10], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 10, 10, 10]]
[[5, 5, 5, 5, 8], [10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5, 8, 8], [8, 8, 8, 8], [8], [10, 10, 10]]
[[5, 5, 5, 8], [5, 8, 8, 8], [10], [10, 10], [8, 8, 8]]
[[5, 8, 8], [5, 5, 5, 8], [8], [10], [10, 10], [8, 8, 8]]
[[5, 5, 8], [5, 5, 8], [8, 8], [8, 8], [], [10, 10], [8, 10]]
[[5, 5, 5], [5, 8], [8, 8], [8, 8], [10], [10], [10], [8, 8]]
[[5, 5, 5], [8, 8], [5, 8], [8, 8], [], [10], [10], [10], [8, 8]]
[[5, 8], [5, 8], [8], [10], [8], [8], [10], [10], [5, 8], [5, 8]]
[[10], [10], [8], [8], [8], [8], [8], [5, 5], [5, 8], [5, 8], [10]]
[[8], [8], [8], [8], [8], [8], [10], [10], [8], [10], [5, 5], [5, 5]]
[[8], [8], [5, 5], [10], [8], [8], [8], [8], [5, 5], [], [8], [10], [10]]
[[5, 5], [5, 5], [8], [8], [8], [8], [8], [8], [10], [], [8], [10], [10], []]
-EndAllocation

Instance: [[1], [105], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,14. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12, 12, 10], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,14:
-StartAllocation
[[9, 9, 10, 10], [1, 1, 1, 7, 7, 10, 10, 10, 10, 10]]
[[10, 10], [1, 1, 1, 10, 10, 10, 10], [7, 7, 9, 9, 10]]
[[10], [1, 1, 1, 10, 10, 10], [7, 7, 9, 9], [10, 10, 10]]
[[10], [7, 7, 10], [1, 1, 1, 10, 10], [10, 10], [9, 9, 10]]
[[10], [1, 1, 1, 7, 7], [10, 10], [10, 10], [10, 10], [9, 9]]
[[], [9, 10], [10, 10], [10, 10], [1, 1, 1, 7, 10], [10], [7, 9]]
[[10], [10], [10], [10], [1, 1, 1, 10], [7, 10], [9, 9], [7, 10]]
[[7, 9], [7, 9], [10], [10], [10], [10], [1, 1, 1, 10], [10], [10]]
[[10], [10], [10], [10], [10], [10], [10], [7, 7], [1, 1, 1, 9], [9]]
[[7], [9], [10], [10], [10], [9], [10], [10], [7], [10], [1, 1, 1, 10]]
[[10], [7], [10], [1, 1, 1], [10], [9], [10], [7], [10], [10], [9], [10]]
[[10], [9], [10], [10], [], [9], [10], [10], [1, 1, 1, 7], [7], [], [10], [10]]
[[10], [10], [10], [10], [9], [], [7], [10], [], [9], [1, 1, 1], [10], [7], [10]]
-EndAllocation

Instance: [[1], [120], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12, 10], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 5, 5, 5, 8, 8, 8, 8], [9, 10, 10, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8], [5, 5, 5, 9, 10], [10, 10, 10, 10, 10]]
[[4, 5, 5, 5], [8, 8, 8, 8], [9, 10, 10], [10, 10, 10, 10]]
[[4, 5, 5, 5, 10], [9, 10, 10], [10, 10, 10], [], [8, 8, 8, 8]]
[[4, 8, 8], [5, 5, 5, 10], [10], [10, 10], [10, 10], [8, 8, 9]]
[[4, 5, 5, 5], [10, 10], [10, 10], [10, 10], [9], [8, 8, 8], [8]]
[[4, 8, 8], [8, 8], [5, 5, 5], [10, 10], [], [9, 10], [10, 10], [10]]
[[4, 8], [8, 8], [5, 10], [5, 10], [5, 10], [10], [10], [9], [8, 10]]
[[4, 5, 5], [8, 8], [10], [10], [10], [9], [8, 8], [10], [5, 10], [10]]
[[4, 10], [5, 9], [5, 8], [5, 8], [10], [10], [8], [10], [8], [10], [10]]
[[10], [5, 8], [5, 5], [10], [10], [8], [9], [10], [8], [10], [10], [4, 8]]
[[4, 8], [10], [5, 8], [5, 5], [10], [8], [10], [8], [10], [], [10], [10], [9]]
[[4, 5], [8], [10], [10], [8], [8], [10], [10], [10], [8], [], [10], [9], [5, 5]]
[[8], [5, 5], [8], [10], [10], [], [10], [], [8], [8], [9], [10], [4, 5], [10], [10]]
-EndAllocation

Instance: [[1], [119], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 6, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 4, 6, 8, 8, 10], [9, 9, 9, 10, 10, 10, 10, 10]]
[[3, 9, 10, 10, 10, 10], [4, 8, 8, 9, 10], [3, 6, 9, 10]]
[[3, 3, 4, 8, 8], [9, 9, 9], [10, 10, 10], [6, 10, 10, 10]]
[[3, 3, 4, 10, 10], [10, 10, 10], [6, 8, 8], [9, 9, 9], [10]]
[[3, 3, 4, 6, 9], [10, 10], [10, 10], [9, 9], [10, 10], [8, 8]]
[[3, 3, 4, 10], [6, 8], [10, 10], [8, 10], [9, 9], [9, 10], [10]]
[[3, 3, 4, 6], [9, 9], [9], [10, 10], [10, 10], [8, 8], [], [10, 10]]
[[3, 3, 4, 8], [6, 10], [10], [9, 9], [10], [10], [9], [10], [8, 10]]
[[3, 3, 10], [4, 9], [6, 10], [10], [10], [10], [8, 8], [10], [9], [9]]
[[3, 3, 8], [4, 10], [10], [6, 8], [9], [10], [10], [9], [10], [9], [10]]
[[3, 10], [10], [10], [10], [4, 9], [10], [10], [6], [8], [9], [9], [3, 8]]
[[3, 10], [4, 8], [9], [6], [10], [], [10], [9], [9], [8], [10], [10], [3, 10]]
[[3, 3, 4], [6], [10], [10], [10], [], [10], [10], [10], [9], [8], [9], [9], [8]]
[[3, 3, 4], [10], [8], [8], [10], [6], [10], [], [9], [10], [], [9], [10], [9], [10]]
-EndAllocation

Instance: [[1], [118], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 7, 7, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12, 10], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[10, 10, 10, 10, 10], [4, 5, 5, 7, 7, 8, 8, 8, 8, 8]]
[[5, 7, 7], [10, 10, 10, 10, 10], [4, 5, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [7, 7], [4, 5, 5, 10], [10, 10, 10, 10]]
[[8, 8, 8, 8], [7, 7, 10], [8], [10, 10, 10], [4, 5, 5, 10]]
[[4, 8, 8], [8, 8, 8], [7, 7], [10, 10], [10, 10], [5, 5, 10]]
[[4, 7, 8], [8, 8], [10, 10], [8, 8], [10, 10], [10], [5, 5, 7]]
[[4, 5, 5], [7, 7], [8, 8], [8, 8], [8], [10, 10], [10, 10], [10]]
[[8, 8], [4, 5, 5], [10], [8, 8], [10], [7, 7], [10], [10], [8, 10]]
[[4, 5, 5], [8, 8], [8, 8], [10], [7, 7], [10], [8], [10], [10], [10]]
[[10], [4, 8], [10], [10], [7, 7], [5, 8], [10], [5, 8], [8], [8], [10]]
[[10], [4, 8], [5, 7], [10], [7], [10], [8], [10], [8], [8], [10], [5, 8]]
[[4, 5], [5, 7], [10], [8], [8], [8], [8], [10], [10], [8], [10], [7], [10]]
[[4, 8], [5, 5], [7], [8], [8], [], [10], [8], [8], [10], [10], [10], [10], [7]]
[[5], [], [8], [7], [8], [8], [7], [8], [8], [10], [4, 5], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [117], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 9, 9, 9, 10], [6, 6, 6, 6, 6, 7, 8, 10, 10, 10]]
[[9, 9], [6, 6, 6, 6, 6, 8, 9], [5, 7, 10, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 8], [10, 10, 10, 10], [5, 7, 9, 9, 9]]
[[], [7, 8, 10], [6, 6, 6, 6, 6], [5, 9, 9, 9], [10, 10, 10]]
[[10, 10], [9, 10], [6, 6, 6, 6], [5, 6, 8], [9, 9], [7, 10]]
[[], [10, 10], [10, 10], [9, 9], [6, 6, 6], [6, 6, 9], [5, 7, 8]]
[[], [9, 9], [6, 6, 6], [5, 7], [9, 10], [8, 10], [6, 6], [10, 10]]
[[10], [6, 10], [6, 10], [5, 9], [9], [6, 9], [6, 6], [7, 10], [8]]
[[10], [9], [6, 9], [5, 6], [6, 7], [10], [6, 10], [6, 8], [9], [10]]
[[9], [5, 6], [6, 8], [10], [10], [10], [6, 6], [9], [9], [10], [6, 7]]
[[7], [9], [6, 6], [10], [10], [5, 6], [6, 6], [10], [9], [8], [10], [9]]
[[10], [10], [10], [9], [5], [6, 6], [10], [7], [9], [8], [6], [6, 6], [9]]
[[9], [5], [9], [], [10], [7], [10], [10], [8], [10], [6, 6], [6], [6, 6], [9]]
[[10], [6], [10], [7], [6], [10], [6], [5], [6], [9], [6], [9], [8], [9], [10]]
-EndAllocation

Instance: [[1], [116], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 3, 9, 10, 10], [7, 8, 10, 10, 10, 10, 10, 10]]
[[3, 3, 3, 7], [3, 8, 9, 10, 10, 10], [10, 10, 10, 10, 10]]
[[10, 10], [3, 3, 3, 3, 7, 8, 10], [10, 10, 10], [9, 10, 10]]
[[], [7, 10, 10], [3, 3, 3, 3, 8, 10], [9, 10, 10], [10, 10, 10]]
[[10, 10], [3, 3, 3, 3, 10], [10, 10], [8, 10], [9, 10], [7, 10]]
[[], [10, 10], [10, 10], [9, 10], [3, 3, 3, 3, 7], [10, 10], [8, 10]]
[[], [8, 9], [10, 10], [7, 10], [3, 3, 3, 3], [10], [10, 10], [10, 10]]
[[10], [10], [3, 3, 10], [7, 10], [3, 3, 10], [8, 9], [10], [10], [10]]
[[10], [10], [10], [3, 3, 10], [7, 9], [10], [10], [8], [10], [3, 3, 10]]
[[9], [3, 10], [8], [10], [10], [10], [3, 10], [3, 10], [10], [10], [3, 7]]
[[7], [10], [10], [10], [10], [3, 3, 3], [10], [10], [10], [8], [10], [3, 9]]
[[10], [10], [10], [10], [10], [], [10], [3, 3, 3, 3], [9], [8], [7], [10], [10]]
[[9], [10], [3, 3], [10], [10], [7], [10], [10], [8], [10], [3, 3], [], [10], [10]]
[[], [10], [10], [7], [10], [10], [10], [3, 3, 3], [10], [9], [10], [], [8], [3], [10]]
-EndAllocation

Instance: [[1], [115], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12, 12, 10], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 9, 10, 10], [3, 6, 8, 10, 10, 10, 10, 10, 10]]
[[3, 10], [3, 3, 3, 6, 8, 9, 10, 10], [10, 10, 10, 10, 10]]
[[10, 10], [3, 3, 3, 3, 8, 10], [6, 10, 10, 10], [9, 10, 10]]
[[], [10, 10, 10], [3, 3, 3, 3, 6, 8], [9, 10, 10], [10, 10, 10]]
[[10], [3, 3, 3, 3, 10], [6, 10, 10], [8, 10], [9, 10], [10, 10]]
[[], [10, 10], [10, 10], [9, 10], [3, 3, 3, 3, 6], [10, 10], [8, 10]]
[[], [8, 9], [6, 10], [10, 10], [3, 3, 3, 3], [10, 10], [10, 10], [10]]
[[10], [10], [6, 10], [3, 3, 10], [3, 3, 10], [8, 9], [10], [10], [10]]
[[10], [10], [9], [3, 3, 10], [6, 10], [10], [10], [8], [10], [3, 3, 10]]
[[9], [3, 10], [8], [10], [10], [10], [3, 6], [3, 10], [10], [10], [3, 10]]
[[10], [10], [6], [10], [10], [3, 3, 3], [10], [10], [10], [8], [10], [3, 9]]
[[10], [10], [10], [10], [10], [6], [10], [3, 3, 3, 3], [9], [8], [], [10], [10]]
[[9], [10], [3, 3], [10], [10], [10], [10], [10], [8], [10], [3, 3, 6], [], [], [10]]
[[], [10], [10], [9], [10], [10], [6], [3, 3, 3], [10], [10], [10], [], [8], [3], [10]]
-EndAllocation

Instance: [[1], [114], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 4, 4, 4, 4, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 4, 4, 4, 10, 10], [10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 10]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [4, 10]]
[[], [4, 4, 4, 4, 4], [4, 10], [10, 10], [10, 10], [], [10, 10], [10, 10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [4, 10], [4, 10], [4, 10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4, 4], [4, 10], [10], [4, 10]]
[[10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10]]
[[10], [], [10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [10]]
[[10], [10], [10], [4, 4, 4], [10], [], [10], [4, 4, 4], [10], [10], [], [10], [10]]
[[], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [], [], [10]]
[[], [10], [4, 4], [10], [10], [10], [10], [10], [4, 4], [10], [10], [], [10], [], [4, 4]]
-EndAllocation

Instance: [[1], [113], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,15. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12, 12, 10], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 4, 4, 4, 4, 9, 10], [4, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 4, 4, 4, 9, 10], [10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 9]]
[[], [10, 10, 10], [10, 10, 10], [9, 10, 10], [4, 4, 4, 4, 4, 4]]
[[10], [4, 4, 10], [10, 10], [10, 10], [4, 4, 4, 4, 9], [10, 10]]
[[], [10, 10], [10, 10], [9, 10], [10, 10], [4, 4, 4, 4, 4], [4, 10]]
[[], [4, 4, 4, 4, 4], [4, 9], [10, 10], [10, 10], [], [10, 10], [10, 10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [9], [4, 10], [4, 10], [4, 10]]
[[10], [10], [9], [10], [10], [10], [4, 4, 4, 4], [4, 10], [10], [4, 10]]
[[9], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10]]
[[10], [], [10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [9]]
[[10], [10], [10], [4, 4, 4], [10], [], [10], [4, 4, 4], [9], [10], [], [10], [10]]
[[9], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [4, 4, 4], [], [], [], [10]]
[[], [10], [4, 4], [10], [10], [10], [10], [10], [4, 4], [10], [10], [], [9], [], [4, 4]]
-EndAllocation

Instance: [[1], [128], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[6, 8, 8, 8, 8, 8], [3, 5, 6, 8, 10, 10, 10, 10, 10, 10]]
[[10, 10], [5, 6, 10, 10, 10, 10], [3, 6, 8, 8, 8, 8, 8, 8]]
[[10], [8, 8, 8, 8, 8], [3, 5, 6, 6, 8, 10], [10, 10, 10, 10]]
[[8, 8], [10, 10, 10], [5, 8, 10], [8, 10, 10], [3, 6, 6, 8, 8]]
[[8], [3, 10, 10], [8, 8, 10], [5, 6, 6, 8], [8, 10, 10], [8, 10]]
[[], [8, 10], [5, 10, 10], [10, 10], [3, 6, 6, 8], [8, 10], [8, 8, 8]]
[[], [8, 8], [8, 10], [3, 5, 10], [8, 10], [6, 6, 8], [8, 10], [10, 10]]
[[], [10, 10], [3, 8, 8], [], [8, 10], [8, 10], [8, 8], [10, 10], [5, 6, 6]]
[[10], [8, 8], [8], [5, 10], [6, 10], [10], [3, 8], [10], [6, 10], [8, 8]]
[[10], [8], [3, 8], [10], [8], [6, 10], [10], [10], [8, 8], [6, 10], [5, 8]]
[[8], [10], [10], [6, 8], [10], [5, 8], [10], [10], [10], [8], [3, 8], [6, 8]]
[[10], [8], [10], [8], [10], [8], [5, 8], [8], [10], [10], [3, 8], [10], [6, 6]]
[[8], [8], [5, 6], [8], [10], [10], [10], [10], [8], [3, 8], [10], [6], [10], [8]]
[[10], [8], [8], [8], [8], [8], [10], [10], [], [8], [5, 6], [10], [10], [10], [3, 6]]
[[10], [8], [8], [6], [6], [8], [10], [8], [3], [8], [10], [8], [10], [10], [5], [10]]
-EndAllocation

Instance: [[1], [127], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12, 10], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 8, 9, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 9, 10, 10, 10], [4, 4, 8, 10, 10, 10, 10]]
[[9], [4, 4, 4, 4, 4, 8, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[9], [4, 4, 4, 4, 4, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10], [10, 10], [9, 10, 10], [4, 4, 4, 4, 4], [8, 10, 10], [10, 10]]
[[10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [8, 9]]
[[], [10, 10], [10, 10], [8, 9], [10], [10, 10], [10, 10], [4, 4, 4, 4, 4]]
[[], [10, 10], [4, 4, 4, 4, 4], [10, 10], [9], [8], [10], [10, 10], [10, 10]]
[[10], [4, 10], [10], [10], [4, 10], [10], [4, 10], [4, 10], [4, 10], [8, 9]]
[[10], [4, 10], [10], [4, 10], [4, 10], [9], [10], [10], [4, 4, 8], [10], [10]]
[[10], [10], [4, 10], [10], [4, 10], [4, 4], [9], [10], [10], [10], [10], [4, 8]]
[[10], [10], [8], [10], [10], [4, 4, 4], [9], [10], [10], [10], [10], [4, 4], [10]]
[[10], [10], [4, 4, 4], [4, 4], [10], [10], [9], [10], [10], [8], [10], [10], [], [10]]
[[10], [10], [4, 4], [10], [], [10], [10], [10], [8], [], [10], [10], [9], [10], [4, 4, 4]]
[[10], [10], [10], [4], [10], [], [4, 4], [10], [10], [9], [10], [8], [10], [10], [4, 4], []]
-EndAllocation

Instance: [[1], [126], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 8, 10, 10], [4, 9, 9, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 9, 9, 10]]
[[4], [10, 10, 10, 10], [4, 4, 4, 4, 8, 9, 9], [10, 10, 10, 10]]
[[10], [9, 9, 10], [4, 4, 4, 4, 4, 10], [10, 10, 10], [8, 10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 8], [9, 9, 10]]
[[8], [4, 4, 4, 4, 4], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10]]
[[], [10, 10], [9, 9], [4, 4, 4, 4, 4], [10, 10], [10, 10], [8, 10], [10]]
[[10], [10], [4, 4, 10], [8, 10], [10], [4, 4, 10], [10], [9, 9], [4, 10]]
[[10], [10], [10], [8, 9], [4, 10], [4, 10], [4, 10], [4, 10], [9], [4, 10]]
[[10], [4, 10], [4, 8], [10], [10], [4, 10], [10], [9], [10], [4, 9], [4, 10]]
[[10], [9], [10], [4, 4, 4], [9], [4, 10], [10], [10], [8], [10], [4, 10], [10]]
[[10], [10], [10], [10], [9], [10], [4, 4], [10], [8], [9], [4, 4, 4], [10], [10]]
[[9], [4, 4, 4], [10], [], [4, 8], [10], [9], [10], [10], [10], [10], [10], [4], [10]]
[[10], [10], [10], [9], [], [10], [10], [4, 4, 4], [10], [], [9], [10], [10], [4, 4], [8]]
[[10], [9], [], [10], [10], [10], [4, 4], [10], [4, 4], [9], [10], [], [4], [8], [10], [10]]
-EndAllocation

Instance: [[1], [125], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 8, 10, 10], [4, 9, 9, 9, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 9, 9, 9]]
[[4], [10, 10, 10, 10], [4, 8, 9, 9, 9], [4, 4, 4, 10, 10, 10]]
[[10], [9, 9, 9], [4, 4, 4, 4, 4, 10], [10, 10, 10], [8, 10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 8], [9, 9, 9]]
[[8], [4, 4, 4, 4, 4], [10, 10], [10, 10], [9, 9], [10, 10], [9, 10]]
[[], [10, 10], [9, 9], [4, 4, 4, 9], [10, 10], [10, 10], [8, 10], [4, 4]]
[[10], [10], [4, 4, 10], [8, 9], [10], [4, 4, 10], [10], [9, 9], [4, 10]]
[[9], [10], [4, 10], [8, 9], [4, 10], [10], [4, 10], [4, 10], [4, 9], [10]]
[[10], [4, 10], [4, 9], [10], [10], [4, 4, 8], [10], [9], [10], [4, 9], [10]]
[[10], [9], [10], [4, 4, 4], [9], [4, 9], [10], [10], [8], [10], [10], [4, 10]]
[[10], [9], [10], [10], [9], [10], [4, 4], [10], [8], [9], [4, 4, 4], [10], [10]]
[[9], [4, 4, 4], [10], [], [4, 8], [9], [9], [10], [10], [10], [10], [10], [4], [10]]
[[10], [9], [10], [9], [], [10], [10], [4, 4, 4], [10], [], [9], [10], [10], [4, 4], [8]]
[[10], [9], [9], [10], [10], [10], [4, 4], [10], [4, 4], [9], [10], [], [4], [8], [], [10]]
-EndAllocation

Instance: [[1], [124], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 8, 10, 10], [4, 9, 9, 9, 9, 10, 10, 10, 10]]
[[10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 9, 9, 9, 9]]
[[9], [10, 10, 10, 10], [8, 9, 9, 9], [4, 4, 4, 4, 4, 10, 10]]
[[10], [9, 9, 9], [4, 4, 4, 4, 4, 9], [10, 10, 10], [8, 10, 10]]
[[10], [10, 10], [9, 10], [10, 10], [4, 4, 4, 4, 4, 8], [9, 9, 9]]
[[8], [4, 4, 4, 4, 4], [10, 10], [10, 10], [9, 9], [10, 10], [9, 9]]
[[], [10, 10], [9, 9], [9, 9], [10, 10], [10, 10], [8], [4, 4, 4, 4, 4]]
[[10], [10], [10], [8, 10], [9, 9], [4, 4, 10], [4, 4, 4], [9, 9], [10]]
[[9], [10], [10], [8, 9], [4, 10], [4, 4, 9], [4, 10], [4, 10], [9], [10]]
[[10], [4, 10], [4, 9], [10], [10], [4, 4, 8], [9], [9], [10], [4, 9], [10]]
[[9], [9], [10], [4, 4, 4], [9], [4, 9], [10], [10], [8], [10], [10], [4, 10]]
[[9], [9], [10], [10], [9], [10], [4, 4], [10], [8], [9], [4, 4, 4], [10], [10]]
[[9], [4, 4, 4], [], [9], [4, 8], [9], [9], [10], [10], [10], [10], [10], [4], [10]]
[[10], [9], [10], [9], [], [10], [10], [4, 4, 4], [10], [], [9], [9], [10], [4, 4], [8]]
[[10], [9], [9], [10], [10], [9], [4, 4], [10], [4, 4], [9], [10], [], [4], [8], [], [10]]
-EndAllocation

Instance: [[1], [123], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 6, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[6, 8, 8, 8, 8, 8, 8], [3, 3, 6, 7, 10, 10, 10, 10, 10]]
[[3, 3, 6, 8, 8, 8, 8], [6, 7, 8, 8], [10, 10, 10, 10, 10]]
[[6, 7, 8], [8, 8, 8, 8, 8], [3, 3, 6, 10], [10, 10, 10, 10]]
[[8, 8, 8], [8, 8, 8], [3, 3, 6], [10, 10, 10], [6, 7, 10, 10]]
[[6, 7], [8, 8, 8], [6, 10], [3, 3, 10, 10], [10, 10], [8, 8, 8]]
[[6, 8, 8], [8, 8, 8], [], [3, 3, 10], [10, 10], [10, 10], [6, 7, 8]]
[[6, 6, 7], [8, 8], [8, 8], [8, 8], [], [10, 10], [10, 10], [3, 3, 10]]
[[8], [10], [6, 8], [8, 8], [6, 10], [3, 3, 10], [8, 8], [10], [7, 10]]
[[8], [8, 8], [6, 8], [8, 8], [6, 10], [], [10], [10], [3, 3, 10], [7, 10]]
[[3, 3], [8, 8], [8, 8], [6, 10], [], [10], [8, 8], [10], [10], [10], [6, 7]]
[[3, 3, 8], [6, 8], [10], [10], [8], [10], [8], [10], [8], [10], [6, 8], [7]]
[[3, 8], [8], [8], [8], [10], [10], [8], [8], [6], [6, 7], [10], [10], [3, 10]]
[[10], [8], [10], [8], [8], [10], [8], [8], [10], [8], [7], [6], [10], [3, 3, 6]]
[[10], [7], [8], [8], [8], [8], [8], [8], [6], [], [10], [10], [10], [10], [3, 3, 6]]
[[3, 6], [10], [8], [8], [8], [8], [8], [8], [3], [], [7], [6], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [122], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8, 10], [10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 10, 10, 10]]
[[10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8], [10, 10, 10, 10]]
[[10], [10, 10, 10], [4, 4, 4, 4, 4, 4], [10, 10, 10], [8, 10, 10]]
[[10], [10, 10], [8, 10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10]]
[[], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [8, 10]]
[[], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [8, 10], [4]]
[[10], [10], [4, 4, 10], [8, 10], [10], [4, 4, 10], [4, 4, 10], [10], [10]]
[[10], [10], [4, 10], [8], [4, 10], [4, 10], [4, 10], [4, 10], [10], [4, 10]]
[[10], [10], [4, 10], [10], [10], [10], [10], [4, 4, 4, 4], [8], [4, 10], [10]]
[[10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [8], [10], [4, 4, 4], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [8], [], [4, 4, 4], [10], [10]]
[[10], [4, 4, 4], [], [], [4, 8], [10], [10], [10], [10], [10], [10], [10], [4, 4], [10]]
[[10], [10], [10], [], [], [10], [10], [4, 4, 4], [10], [], [10], [10], [10], [4, 4, 4], [8]]
[[10], [10], [], [10], [10], [10], [4, 4], [10], [4, 4], [], [10], [], [4, 4], [8], [10], [10]]
-EndAllocation

Instance: [[1], [121], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,16. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12, 12, 10], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 10, 10], [4, 8, 9, 10, 10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8, 9, 10]]
[[], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8, 9], [10, 10, 10, 10]]
[[10], [10, 10, 10], [8, 9, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4]]
[[10], [8, 10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [9, 10]]
[[], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [8, 10], [9, 10], [10, 10]]
[[], [4, 4, 4, 9], [10, 10], [10, 10], [8, 10], [10], [4, 4, 4], [10, 10]]
[[10], [10], [10], [10], [4, 4, 9], [4, 4, 10], [10], [8, 10], [4, 4, 10]]
[[10], [10], [4, 10], [10], [8], [4, 4, 9], [10], [4, 10], [4, 10], [4, 10]]
[[10], [4, 10], [4, 10], [4, 10], [10], [4, 4, 4], [9], [10], [10], [10], [8]]
[[10], [10], [9], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [8], [10], [10]]
[[10], [4, 4], [10], [10], [10], [4, 8], [4, 4, 4], [], [10], [9], [10], [10], [10]]
[[10], [4, 4, 4], [10], [10], [10], [], [], [10], [4, 4, 4], [10], [10], [8], [10], [9]]
[[8], [10], [10], [], [4, 4, 4], [10], [10], [9], [10], [10], [4, 4, 4], [10], [10], [], []]
[[10], [10], [4, 4], [], [9], [10], [8], [], [4, 4], [10], [10], [4, 4], [10], [10], [], [10]]
-EndAllocation

Instance: [[1], [136], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12, 10], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 8, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 8, 10, 10, 10]]
[[10], [4, 4, 4, 8, 10, 10], [4, 9, 9, 10, 10], [4, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 8], [9, 9, 10], [10, 10, 10]]
[[], [10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 10], [8, 10, 10], [9, 9, 10]]
[[10], [4, 4, 4, 10], [4, 4, 9, 9], [8, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [9, 9], [8, 10]]
[[], [4, 4, 4, 4, 4], [8, 10], [10, 10], [10, 10], [], [10, 10], [9, 9], [10, 10]]
[[10], [8, 10], [4, 10], [10], [9, 9], [4, 4, 10], [10], [10], [10], [4, 4, 10]]
[[10], [4, 10], [10], [4, 4, 9], [10], [4, 10], [10], [8, 9], [10], [10], [4, 10]]
[[10], [10], [8], [4, 9], [9], [4, 10], [10], [4, 10], [4, 10], [10], [4, 10], [10]]
[[10], [10], [10], [4, 10], [4, 4, 4], [8], [10], [10], [10], [10], [9], [10], [4, 9]]
[[10], [10], [8], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [10], [9], [9], [10]]
[[10], [10], [4, 4, 4], [4, 4], [9], [10], [10], [9], [10], [10], [8], [10], [10], [], [10]]
[[10], [], [10], [10], [4, 4, 4], [10], [8], [10], [9], [10], [9], [4, 4], [10], [], [10], [10]]
[[], [10], [10], [8], [10], [9], [], [4, 4], [10], [10], [4, 4], [10], [10], [4], [9], [10], [10]]
-EndAllocation

Instance: [[1], [135], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 9, 9, 10], [7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 7, 10, 10, 10]]
[[10], [4, 4, 4, 7, 10, 10], [4, 9, 9, 10, 10], [4, 10, 10, 10, 10]]
[[10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [9, 9, 10], [10, 10, 10]]
[[], [10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [10, 10, 10], [9, 9, 10]]
[[10], [4, 4, 4, 10], [4, 4, 9, 9], [7, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [7, 10], [10, 10], [4, 4, 4, 4, 4], [9, 9], [10, 10]]
[[], [4, 4, 4, 4, 4], [10], [10, 10], [10, 10], [7], [10, 10], [9, 9], [10, 10]]
[[10], [4, 4, 10], [4, 10], [10], [9, 9], [7, 10], [10], [10], [10], [4, 4, 10]]
[[10], [7, 10], [10], [4, 4, 9], [4, 10], [4, 10], [9], [10], [10], [10], [4, 10]]
[[10], [4, 4, 4, 4], [10], [10], [10], [10], [9], [4, 10], [10], [7, 9], [10], [10]]
[[10], [10], [10], [4, 10], [4, 4, 4], [10], [10], [7], [10], [10], [9], [10], [4, 9]]
[[7], [10], [10], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [10], [9], [9], [10]]
[[10], [10], [4, 4, 4], [4, 4], [9], [10], [10], [9], [7], [10], [10], [10], [10], [], [10]]
[[10], [], [10], [10], [4, 4, 4], [10], [10], [10], [9], [10], [9], [4, 4], [10], [], [10], [7]]
[[10], [10], [7], [], [10], [9], [], [4, 4], [10], [10], [4, 4], [10], [10], [4], [9], [10], [10]]
-EndAllocation

Instance: [[1], [134], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 7, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 9, 9, 9], [7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [9, 9, 9, 10, 10, 10], [4, 4, 4, 4, 4, 7, 10, 10, 10]]
[[], [4, 4, 7, 10, 10, 10], [4, 4, 9, 9, 9, 10], [4, 10, 10, 10, 10]]
[[10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [9, 9, 9], [10, 10, 10]]
[[], [10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [10, 10, 10], [9, 9, 9]]
[[], [4, 4, 4, 10], [4, 4, 9, 9], [7, 9, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [7, 9], [10, 10], [4, 4, 4, 4, 4], [9, 9], [10, 10]]
[[], [4, 4, 4, 4, 4], [9], [10, 10], [10, 10], [7], [10, 10], [9, 9], [10, 10]]
[[10], [4, 4, 10], [9, 9], [10], [9], [7, 10], [10], [10], [4, 10], [4, 4, 10]]
[[10], [7, 9], [10], [4, 4, 9], [4, 10], [4, 10], [9], [10], [10], [10], [4, 10]]
[[10], [4, 4, 4, 4], [10], [10], [10], [10], [9], [4, 10], [10], [7, 9], [9], [10]]
[[10], [10], [10], [4, 10], [4, 4, 4], [10], [9], [7], [10], [10], [9], [10], [4, 9]]
[[7], [10], [10], [10], [9], [4, 4, 4], [4, 4], [10], [10], [10], [10], [9], [9], [10]]
[[10], [10], [4, 4, 4], [4, 4], [9], [10], [10], [9], [7], [10], [9], [10], [10], [], [10]]
[[10], [], [9], [10], [4, 4, 4], [10], [10], [10], [9], [10], [9], [4, 4], [10], [], [10], [7]]
[[10], [10], [7], [], [10], [9], [], [4, 4], [10], [10], [4, 4], [10], [10], [4], [9], [10], [9]]
-EndAllocation

Instance: [[1], [133], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12, 12, 10], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 8, 9, 9], [7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 7, 8, 10, 10]]
[[10], [4, 4, 4, 7, 8, 10], [4, 9, 9, 10, 10], [4, 10, 10, 10, 10]]
[[10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 8], [9, 9, 10], [10, 10, 10]]
[[], [10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [8, 10, 10], [9, 9, 10]]
[[10], [4, 4, 4, 4], [4, 9, 9], [7, 8, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [7, 10], [10, 10], [4, 4, 4, 4, 4], [9, 9], [8, 10]]
[[], [4, 4, 4, 4, 4], [8], [10, 10], [10, 10], [7], [10, 10], [9, 9], [10, 10]]
[[10], [8, 10], [10], [4, 4, 4, 4], [9, 9], [7, 10], [10], [10], [10], [4, 10]]
[[10], [7, 10], [10], [4, 4, 9], [4, 10], [4, 10], [9], [8], [10], [10], [4, 10]]
[[10], [4, 10], [4, 10], [8], [10], [4, 10], [9], [4, 10], [10], [7], [9], [4, 10]]
[[10], [10], [10], [4, 10], [4, 4, 4], [8], [9], [7], [10], [10], [9], [10], [4, 10]]
[[7], [10], [8], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [10], [9], [9], [10]]
[[10], [10], [4, 4, 4], [4, 4], [9], [10], [10], [9], [7], [10], [8], [10], [10], [], [10]]
[[10], [], [10], [10], [4, 4, 4], [10], [8], [10], [9], [10], [9], [4, 4], [10], [], [10], [7]]
[[], [10], [7], [8], [10], [9], [], [4, 4], [10], [10], [4, 4], [10], [10], [4], [9], [10], [10]]
-EndAllocation

Instance: [[1], [132], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[7, 8, 8, 8, 8, 8], [5, 5, 5, 6, 7, 7, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8], [6, 7, 10, 10, 10, 10], [5, 5, 5, 7, 7, 8, 10]]
[[8, 8], [5, 5, 5, 7, 8, 8], [7, 8, 10, 10], [6, 7, 10, 10, 10]]
[[10], [8, 8, 8, 8], [5, 5, 5, 7, 10], [6, 7, 8, 10], [7, 10, 10]]
[[10], [5, 8, 8], [7, 7, 8], [5, 10, 10], [6, 10, 10], [5, 7, 8, 8]]
[[7], [8, 8, 8], [6, 8, 10], [7, 8, 10], [7], [10, 10], [5, 5, 5, 10]]
[[10], [8, 10], [8, 10], [7, 8], [8, 10], [6, 10], [7, 7, 8], [5, 5, 5]]
[[7], [5, 5, 5], [8, 10], [6, 8], [7, 8], [10, 10], [7], [8, 10], [8, 10]]
[[], [8, 8], [5, 5, 8], [8, 10], [7, 10], [7, 10], [7, 10], [], [6, 8], [5, 10]]
[[10], [7, 8], [8], [5, 8], [10], [6, 10], [5, 10], [8], [5, 10], [7, 7], [8]]
[[10], [7, 7], [10], [10], [8], [10], [6, 8], [7], [5, 8], [5, 8], [5, 8], [10]]
[[10], [5, 7], [7], [6, 8], [7], [10], [10], [5, 8], [10], [5, 8], [8], [10], [8]]
[[7], [5, 8], [5, 7], [8], [10], [6, 7], [5, 8], [], [10], [10], [8], [8], [10], [10]]
[[10], [8], [5, 7], [8], [8], [10], [8], [8], [10], [5], [6], [5, 7], [10], [7], [10]]
[[10], [5], [8], [10], [5, 5], [6], [8], [10], [10], [7], [8], [8], [8], [7], [10], [7]]
[[10], [7], [10], [7], [8], [10], [10], [8], [8], [7], [8], [5], [10], [5], [6], [8], [5]]
-EndAllocation

Instance: [[1], [131], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12, 12, 10], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 9, 9, 10, 10, 10, 10]]
[[8, 8, 8, 8], [6, 9, 10, 10, 10, 10], [5, 5, 5, 5, 7, 8, 9]]
[[5], [5, 6, 8, 8, 8, 8], [5, 8, 9, 9, 10], [5, 7, 10, 10, 10]]
[[8, 10], [5, 5, 5, 5, 9], [9, 10, 10], [7, 8, 10], [6, 8, 8, 8]]
[[10], [5, 6, 8, 8], [5, 8, 8], [5, 8, 9], [9, 10, 10], [5, 7, 10]]
[[10], [8, 8, 8], [5, 5, 5, 5], [6, 8, 10], [7, 8, 10], [9, 9], [10]]
[[], [5, 5, 5], [8, 9], [8, 10], [10, 10], [5, 7, 8], [6, 8, 8], [9, 10]]
[[], [8, 9], [5, 7, 8], [5, 8], [5, 6, 8], [5, 10], [10], [10, 10], [8, 9]]
[[10], [8, 10], [8], [5, 9], [7, 10], [], [5, 10], [8, 9], [6, 8], [5, 5, 8]]
[[9], [8], [10], [8, 8], [8, 8], [10], [6, 9], [5, 10], [10], [5, 7], [5, 5]]
[[10], [8], [9], [10], [10], [5, 9], [10], [6, 8], [5, 8], [7], [5, 8], [5, 8]]
[[8], [5, 8], [10], [10], [5, 8], [5, 9], [10], [], [7], [9], [6, 8], [5, 8], [10]]
[[10], [5, 6], [8], [5], [8], [9], [8], [9], [10], [7], [5, 8], [10], [10], [5, 8]]
[[8], [9], [5], [8], [8], [5, 7], [10], [10], [10], [9], [5], [8], [8], [5, 6], [10]]
[[9], [8], [], [8], [8], [5], [10], [5], [9], [10], [5, 6], [10], [10], [8], [8], [5, 7]]
[[9], [8], [10], [5], [7], [8], [5], [8], [10], [10], [8], [6], [10], [9], [5], [5], [8]]
-EndAllocation

Instance: [[1], [130], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[10, 10, 10, 10, 10], [3, 3, 3, 3, 5, 7, 8, 9, 9, 10, 10, 10]]
[[10, 10], [7, 10, 10, 10, 10, 10], [3, 3, 3, 3, 5, 8, 9, 9, 10]]
[[10], [5, 7, 10, 10, 10], [3, 3, 3, 3, 8, 9, 9], [10, 10, 10, 10]]
[[], [3, 3, 3, 3, 10, 10], [5, 9, 10, 10], [10, 10, 10], [7, 8, 9, 10]]
[[10, 10], [10, 10], [10, 10], [3, 3, 3, 3, 5, 8], [7, 9, 9], [10, 10]]
[[], [3, 3, 9, 9], [10, 10], [10, 10], [3, 3, 7, 10], [5, 10, 10], [8, 10]]
[[], [10, 10], [5, 10], [3, 9, 9], [8, 10], [10, 10], [7, 10], [3, 3, 3, 10]]
[[], [3, 3, 3, 3], [10, 10], [5, 7, 8], [10, 10], [10, 10], [10, 10], [], [9, 9]]
[[9], [5, 10], [3, 3, 10], [10], [10], [8, 9], [10], [3, 3, 10], [7, 10], [10]]
[[10], [10], [5, 9], [10], [10], [10], [10], [3, 3, 10], [7, 9], [3, 3, 10], [8]]
[[10], [10], [3, 9], [3, 10], [8], [3, 10], [10], [10], [5, 9], [10], [10], [3, 7]]
[[10], [3, 10], [10], [3, 9], [10], [9], [10], [3, 10], [10], [3, 8], [7], [10], [5]]
[[10], [10], [10], [9], [9], [10], [10], [8], [5], [10], [10], [3, 3, 3, 3], [10], [7]]
[[10], [3, 7], [10], [10], [10], [3], [10], [3, 5], [10], [3, 8], [9], [], [10], [9], [10]]
[[8], [9], [5], [10], [10], [10], [10], [10], [7], [3, 3, 3, 3], [], [], [10], [10], [9], [10]]
[[], [10], [], [10], [10], [9], [9], [3, 3, 3], [3, 5], [10], [7], [8], [10], [10], [], [10], [10]]
-EndAllocation

Instance: [[1], [129], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10]; Results for m' = 2,...,17. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 8, 8, 8, 8, 8], [4, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10]]
[[8, 8, 8], [4, 5, 6, 8, 10, 10, 10], [6, 6, 7, 7, 8, 9, 9]]
[[6, 6, 7], [8, 8, 8, 8, 8], [4, 5, 6, 7, 9], [9, 10, 10, 10]]
[[8], [5, 8, 8, 8], [8, 10, 10], [7, 7, 9, 9], [4, 6, 6, 6, 10]]
[[8], [8, 8, 8], [9, 9, 10], [6, 8, 10], [4, 5, 7, 7], [6, 6, 10]]
[[], [5, 6, 6, 6], [4, 8, 10], [7, 7, 8], [10, 10], [8, 9], [8, 8, 9]]
[[], [8, 10], [6, 8, 8], [5, 6, 8], [4, 8], [9, 10], [6, 7, 7], [9, 10]]
[[], [7, 8], [10], [6, 8], [8, 10], [4, 5, 10], [9, 9], [7, 8], [6, 6, 8]]
[[10], [6, 8], [8, 9], [], [8, 9], [5, 10], [4, 10], [7, 7], [6, 8], [6, 8]]
[[10], [6], [5, 8], [6, 8], [8, 8], [10], [9], [7, 7], [6, 8], [10], [4, 9]]
[[8], [10], [6, 7], [6, 8], [6, 8], [8], [9], [10], [7], [5, 8], [9], [4, 10]]
[[10], [8], [5, 6], [6, 7], [8], [8], [4, 8], [9], [9], [6, 7], [10], [8], [10]]
[[10], [6, 7], [6], [8], [5, 8], [8], [6], [8], [8], [7], [4, 9], [9], [10], [10]]
[[8], [10], [5, 6], [8], [8], [8], [10], [10], [9], [4, 8], [6, 6], [7], [9], [], [7]]
[[], [8], [10], [7], [8], [10], [7], [6, 6], [10], [6], [9], [9], [4, 8], [8], [5], [8]]
[[7], [10], [8], [4], [7], [10], [10], [6], [6], [8], [8], [9], [8], [5], [6], [8], [9]]
-EndAllocation

Instance: [[1], [144], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12, 12, 10], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 10, 10], [5, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 10, 10], [9, 10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 9]]
[[10, 10], [5, 5, 5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [9, 10, 10]]
[[], [5, 5, 5, 5, 5, 5], [10, 10, 10], [5, 10, 10], [9, 10, 10], [10, 10, 10]]
[[10, 10], [5, 5, 9], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10]]
[[10], [5, 5, 5, 5], [10, 10], [10, 10], [5, 5, 5], [10, 10], [10, 10], [9, 10]]
[[], [9, 10], [10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [5, 5, 5]]
[[], [10], [], [5, 5, 5], [9, 10], [5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [10, 10]]
[[10], [5, 10], [10], [5, 10], [5, 10], [5, 9], [5, 10], [5, 10], [10], [10], [5, 10]]
[[10], [5, 10], [5, 10], [10], [10], [9], [10], [5, 10], [10], [10], [5, 10], [5, 5, 5]]
[[10], [10], [10], [10], [10], [10], [5, 5, 5], [5, 5, 5], [5, 10], [10], [10], [10], [9]]
[[10], [5, 5], [10], [5, 5], [5, 5], [10], [10], [10], [10], [10], [10], [10], [5, 9], [10]]
[[10], [10], [10], [10], [5], [9], [10], [5, 5], [10], [10], [10], [5, 5], [10], [10], [5, 5]]
[[10], [5, 5], [10], [10], [10], [10], [10], [10], [5], [10], [], [5, 5], [9], [10], [5, 5], [10]]
[[10], [10], [], [5, 5], [9], [10], [10], [10], [10], [5], [10], [5, 5], [], [10], [5, 5], [10], [10]]
[[10], [10], [5, 5], [5, 5], [9], [], [10], [], [], [10], [10], [5, 5], [10], [10], [10], [5], [10], [10]]
-EndAllocation

Instance: [[1], [143], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 6, 6, 6, 9, 9, 10, 10, 10, 10, 10], [7, 7, 8, 8, 8, 9]]
[[6, 7, 7, 9, 9, 9], [5, 5, 6, 6, 8, 8, 8], [10, 10, 10, 10, 10]]
[[6, 7, 7, 8, 8, 8], [5, 5, 6, 9, 9, 9], [10], [6, 10, 10, 10, 10]]
[[6, 10, 10, 10], [7, 7, 8, 8, 8], [], [5, 5, 9, 9, 9], [6, 6, 10, 10]]
[[5, 5, 6, 6, 6], [10], [7, 7, 10], [9, 9, 9], [8, 8, 8], [10, 10, 10]]
[[7, 7, 10], [6, 10, 10], [8, 8, 8], [9, 9, 9], [5, 5, 6, 6], [10, 10], []]
[[5, 5, 6, 7], [6, 6, 10], [7], [10, 10], [10], [9, 10], [8, 8, 8], [9, 9]]
[[8, 8], [10, 10], [10, 10], [6], [8, 9], [5, 7, 7], [5, 10], [9, 9], [6, 6]]
[[6, 10], [5, 5], [6, 6], [10, 10], [], [8, 9], [8, 8], [7, 7], [9, 9], [10, 10]]
[[5, 5, 6], [6, 9], [10], [10], [8, 8], [10], [7, 7], [10], [6, 9], [8, 9], [10]]
[[6, 6], [6, 10], [8], [10], [8, 8], [5, 9], [9], [10], [10], [5, 10], [7, 7], [9]]
[[5, 8], [7, 7], [10], [9], [10], [6, 6], [10], [10], [6, 8], [9], [9], [5, 8], [10]]
[[10], [10], [9], [6, 8], [8], [8], [6, 6], [10], [5, 5], [10], [10], [7, 7], [9], [9]]
[[5, 5], [9], [6, 6], [8], [8], [7], [9], [10], [10], [9], [10], [10], [10], [6, 7], [8]]
[[6], [9], [10], [9], [10], [8], [7], [9], [6, 6], [5, 5], [10], [10], [8], [8], [7], [10]]
[[5, 5], [8], [10], [], [9], [8], [8], [6], [9], [9], [7], [10], [10], [10], [10], [7], [6, 6]]
[[5, 5], [8], [6], [10], [10], [10], [], [8], [6], [9], [6], [9], [10], [9], [10], [8], [7], [7]]
-EndAllocation

Instance: [[1], [142], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 9, 9, 10, 10, 10], [3, 6, 8, 8, 8, 8, 8, 8, 9, 10]]
[[8, 8, 8, 8], [3, 6, 6, 6, 6, 8, 9, 9, 9], [8, 10, 10, 10, 10]]
[[8, 8, 8, 8], [8, 9, 10], [3, 8, 10, 10, 10], [6, 6, 6, 6, 9, 9]]
[[], [3, 8, 9, 9, 9], [8, 10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 10]]
[[8], [8, 8, 10], [3, 8, 9], [8, 9, 9], [10, 10, 10], [6, 6, 6, 6, 8]]
[[], [8, 10], [8, 8, 8], [3, 6, 9, 9], [8, 10], [8, 9, 10], [6, 6, 6, 10]]
[[10], [8, 10], [6, 9], [6, 8, 10], [6, 10], [6, 9, 9], [3, 8, 8], [8, 8]]
[[], [10, 10], [6, 6, 6], [3, 8, 8], [8, 8], [9, 10], [8, 10], [8, 9], [6, 9]]
[[], [6, 6, 8], [8, 8], [6, 8], [9, 10], [10, 10], [8, 9], [8], [3, 10], [6, 9]]
[[10], [10], [6, 10], [8], [6, 8], [8], [8, 9], [8, 9], [6, 9], [6, 10], [3, 8]]
[[10], [8, 8], [6, 9], [6, 8], [3, 10], [6, 8], [6, 9], [10], [8], [9], [10], [8]]
[[10], [6, 8], [3, 9], [8], [8], [9], [10], [9], [6, 8], [10], [10], [6, 8], [6, 8]]
[[10], [8], [8], [6, 8], [3, 9], [10], [10], [10], [9], [9], [8], [6], [6, 8], [6, 8]]
[[10], [9], [10], [6, 6], [8], [8], [6, 6], [9], [10], [9], [8], [10], [8], [3, 8], [8]]
[[10], [6, 6], [10], [8], [10], [8], [8], [9], [10], [8], [3, 6], [9], [8], [8], [9], [6]]
[[9], [10], [6], [6], [6], [6], [3, 8], [9], [8], [10], [8], [10], [8], [8], [10], [8], [9]]
[[10], [8], [8], [9], [8], [9], [6], [8], [8], [10], [10], [8], [10], [6], [3], [6], [6], [9]]
-EndAllocation

Instance: [[1], [141], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 5, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12, 12, 10], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[2, 2, 3, 5, 8, 9, 9, 10], [6, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [2, 2, 5, 7, 9, 9, 10, 10], [3, 6, 8, 10, 10, 10, 10]]
[[], [2, 2, 3, 5, 8, 9, 9, 10], [7, 10, 10, 10, 10], [6, 10, 10, 10, 10]]
[[], [2, 2, 6, 7, 9, 9], [8, 10, 10, 10], [5, 10, 10, 10], [3, 10, 10, 10]]
[[], [2, 2, 6, 9, 9], [5, 7, 8, 10], [10, 10, 10], [10, 10, 10], [3, 10, 10]]
[[], [3, 9, 9], [8, 10, 10], [10, 10], [10, 10], [2, 2, 5, 6, 10], [7, 10, 10]]
[[], [5, 9, 9], [10, 10], [10, 10], [10, 10], [6, 8, 10], [7, 10], [2, 2, 3, 10]]
[[], [2, 6, 10], [3, 5, 10], [10, 10], [2, 9, 9], [7, 8], [10], [10, 10], [10, 10]]
[[], [5, 9], [10, 10], [10, 10], [2, 2, 8], [6, 7], [10, 10], [10], [3, 10], [9, 10]]
[[10], [3, 10], [10], [10], [8, 9], [2, 2, 10], [6, 10], [9], [10], [5, 10], [7, 10]]
[[10], [7, 9], [10], [8], [5, 10], [10], [2, 2, 10], [3, 9], [10], [10], [6, 10], [10]]
[[9], [9], [10], [10], [10], [10], [3, 10], [2, 2, 10], [10], [5, 7], [10], [10], [6, 8]]
[[10], [10], [2, 2, 10], [8], [10], [5, 9], [10], [10], [10], [10], [7], [10], [3, 9], [6]]
[[8], [5, 6], [9], [10], [10], [7], [10], [2, 2], [10], [9], [10], [10], [10], [3, 10], [10]]
[[10], [10], [3, 6], [10], [10], [10], [10], [10], [7], [5], [2, 2], [10], [9], [8], [9], [10]]
[[], [9], [], [10], [10], [10], [10], [9], [5, 7], [10], [8], [2, 2], [10], [3, 6], [10], [10], [10]]
[[10], [], [5], [6], [10], [8], [3], [2, 2], [10], [10], [10], [10], [10], [7], [9], [9], [10], [10]]
-EndAllocation

Instance: [[1], [140], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 4, 5, 5, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[1, 4, 5, 5, 7, 7, 9, 9], [3, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [1, 3, 4, 5, 7, 9, 9, 10, 10], [5, 7, 10, 10, 10, 10, 10]]
[[10], [1, 7, 7, 10, 10, 10], [3, 10, 10, 10, 10], [4, 5, 5, 9, 9, 10]]
[[], [4, 10, 10, 10], [1, 5, 5, 7, 9, 9], [7, 10, 10, 10], [3, 10, 10, 10]]
[[], [3, 4, 5, 5, 10], [7, 10, 10], [1, 7, 9, 9], [10, 10, 10], [10, 10, 10]]
[[10], [4, 10, 10], [5, 5, 7, 7], [1, 10, 10], [3, 10, 10], [10, 10], [9, 9]]
[[], [10, 10], [9, 9], [3, 5, 5, 10], [1, 10, 10], [7, 7, 10], [10], [4, 10, 10]]
[[], [7, 10], [10, 10], [10, 10], [1, 5, 5, 10], [7, 10], [4, 10], [10], [3, 9, 9]]
[[10], [9, 9], [1, 5, 10], [10], [7, 10], [7, 10], [10], [5, 10], [3, 4, 10], [10]]
[[10], [1, 9], [7, 10], [5, 10], [3, 10], [10], [4, 10], [7, 9], [5, 10], [10], [10]]
[[10], [7], [10], [10], [5, 10], [10], [4, 9], [3, 10], [1, 5, 10], [7, 9], [10], [10]]
[[10], [7], [1, 10], [9], [5, 9], [5, 7], [10], [10], [10], [10], [3, 10], [10], [4, 10]]
[[10], [9], [3, 10], [9], [10], [1, 4, 7], [10], [7], [5, 5], [10], [10], [10], [10], [10]]
[[], [4, 9], [1, 9], [3, 10], [10], [10], [10], [10], [5, 5], [7], [10], [7], [10], [10], [10]]
[[10], [10], [10], [4], [10], [10], [10], [9], [5, 5], [10], [7], [9], [7], [10], [1, 3], [10]]
[[10], [], [10], [7], [10], [10], [10], [10], [9], [4], [1, 10], [10], [7], [3], [10], [5, 5], [9]]
[[7], [9], [10], [4], [10], [10], [10], [10], [1], [10], [5, 5], [10], [3], [10], [10], [7], [], [9]]
-EndAllocation

Instance: [[1], [139], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 5, 8, 8, 8, 8, 8, 8, 8, 10], [6, 6, 7, 7, 9, 9, 10, 10]]
[[4, 5, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 7, 7, 10, 10]]
[[4, 5, 8, 8, 8, 10], [7, 7, 10, 10], [9, 9], [6, 6, 8, 8, 8, 8]]
[[4, 5, 8, 8, 10], [9, 9, 10], [8, 8, 8, 8], [7, 7], [6, 6, 8, 10]]
[[4, 5, 8, 8], [8, 8, 8, 8], [10, 10, 10], [7, 7, 9, 9], [], [6, 6, 8]]
[[4, 8, 10], [7, 7, 9], [8, 8, 8], [], [8, 8, 8], [10, 10], [5, 6, 6, 9]]
[[4, 5, 8], [9, 9], [8, 8, 8], [7, 7, 10], [], [10, 10], [8, 8, 8], [6, 6]]
[[4, 5, 7], [8, 8], [8, 8], [8, 8], [8], [10, 10], [10], [6, 6, 7], [9, 9]]
[[4, 5], [8, 8], [8, 8], [8, 8], [9, 9], [10], [10], [7, 7], [8, 10], [6, 6]]
[[4, 5], [8, 8], [8, 8], [6, 10], [10], [8, 9], [9], [], [7, 7], [6, 10], [8, 8]]
[[4, 10], [9], [8, 8], [8, 8], [8, 8], [9], [7, 7], [10], [], [6], [6, 10], [5, 8]]
[[7, 7], [10], [6, 8], [8], [10], [8], [8], [10], [6, 8], [8], [4, 9], [8], [5, 9]]
[[4, 8], [10], [8], [5, 8], [8], [6, 7], [9], [10], [8], [8], [8], [9], [10], [6, 7]]
[[4, 9], [7], [8], [8], [10], [8], [8], [8], [8], [8], [6, 7], [10], [9], [5, 6], [10]]
[[10], [10], [8], [7], [7], [8], [8], [8], [8], [8], [8], [9], [5, 6], [10], [9], [4, 6]]
[[4, 7], [8], [10], [8], [8], [8], [8], [8], [8], [], [], [10], [10], [9], [9], [6, 6], [5, 7]]
[[4, 6], [8], [8], [8], [8], [8], [10], [8], [8], [], [5], [9], [10], [9], [10], [7], [7], [6]]
-EndAllocation

Instance: [[1], [138], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,18. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[3, 3, 3, 3, 3, 7, 8, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [3, 3, 3, 3, 8, 9, 9, 10, 10], [3, 7, 10, 10, 10, 10, 10]]
[[3], [7, 8, 10, 10, 10], [3, 3, 10, 10, 10, 10], [3, 3, 9, 9, 10, 10]]
[[10], [10, 10, 10], [3, 3, 3, 3, 7, 9, 9], [8, 10, 10], [3, 10, 10, 10]]
[[], [3, 3, 10, 10], [8, 10, 10], [7, 9, 9], [10, 10, 10], [3, 3, 3, 10, 10]]
[[10, 10], [10, 10], [7, 10], [3, 3, 3, 10], [3, 3, 8, 10], [10, 10], [9, 9]]
[[], [10, 10], [9, 9], [3, 3, 8, 10], [10, 10], [7, 10], [3, 3, 3, 10], [10, 10]]
[[], [10, 10], [9, 10], [10, 10], [10, 10], [7, 10], [8, 10], [3, 3, 3], [3, 3, 9]]
[[10], [3, 10], [10], [8, 10], [7, 10], [9, 9], [10], [10], [3, 3, 10], [3, 3, 10]]
[[10], [10], [10], [10], [8, 9], [9], [3, 3, 10], [7, 10], [3, 10], [3, 3, 10], [10]]
[[10], [10], [10], [10], [10], [10], [10], [3, 3, 10], [3, 8], [7, 9], [9], [3, 3, 10]]
[[10], [3, 10], [10], [10], [9], [3, 10], [10], [10], [10], [10], [3, 9], [8], [3, 3, 7]]
[[10], [9], [3, 3], [9], [10], [10], [8], [3, 3, 7], [10], [10], [3, 10], [10], [10], [10]]
[[], [9], [9], [3, 3], [3, 10], [10], [10], [10], [10], [3, 10], [8], [7], [10], [10], [3, 10]]
[[10], [10], [10], [3, 3], [10], [8], [], [9], [10], [10], [10], [9], [3, 7], [10], [3, 3], [10]]
[[10], [3], [10], [3, 7], [10], [10], [10], [8], [3, 9], [], [10], [10], [], [3, 3], [10], [10], [9]]
[[7], [9], [10], [10], [10], [10], [10], [10], [10], [3, 3, 3], [], [], [3, 3], [10], [10], [8], [], [9]]
-EndAllocation

Instance: [[1], [137], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10]; Results for m' = 2,...,18. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 7, 9, 9, 10, 10], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 6, 6, 6, 8, 9, 9], [7, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8], [7, 9, 9, 10, 10], [8, 8, 8, 8, 8], [5, 5, 6, 6, 6]]
[[8, 8, 8, 8], [9, 9, 10], [8, 8, 8, 8], [6, 6, 6, 7], [5, 5, 10]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6], [7, 9, 9], [5, 5, 10, 10], [8, 8]]
[[8, 8, 8], [7, 9, 9], [8, 8, 8], [5, 5], [8, 8], [10, 10], [6, 6, 6]]
[[6, 8, 8], [8, 8, 8], [9, 9], [5, 5, 6, 6], [7], [10, 10], [8, 8, 8], []]
[[5, 8, 8], [5, 8, 8], [], [8, 8], [8, 8], [7, 10], [6, 6, 6], [9, 9], [10]]
[[8, 8], [5, 5], [8, 8], [8, 8], [9, 9], [10], [], [6, 6, 6], [8, 8], [7, 10]]
[[6, 9], [8, 8], [8, 8], [8, 8], [5, 5], [], [6, 6], [7, 10], [9], [10], [8, 8]]
[[6, 9], [7, 8], [8, 8], [8, 8], [10], [8], [5, 5], [], [6, 6], [9], [10], [8, 8]]
[[5, 8], [5, 9], [7], [8], [6, 8], [6, 8], [10], [6, 8], [8], [10], [8], [8], [9]]
[[5, 8], [5, 8], [8], [6, 6], [8], [10], [8], [10], [6, 7], [8], [8], [9], [9], [8]]
[[9], [5, 8], [8], [6, 7], [8], [6, 6], [8], [9], [8], [10], [8], [10], [8], [8], [5]]
[[8], [8], [10], [8], [8], [5, 5], [8], [8], [8], [7], [8], [10], [6, 6], [9], [9], [6]]
[[8], [8], [8], [5, 5], [6, 6], [6], [8], [8], [8], [8], [], [7], [9], [10], [9], [10], [8]]
[[8], [8], [5, 5], [6], [8], [8], [8], [8], [8], [8], [6], [9], [], [6], [9], [7], [10], [10]]
-EndAllocation

Instance: [[1], [152], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 6, 6, 6, 6, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8], [8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 9]]
[[5, 8, 8, 8], [6, 6, 6, 6], [9, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6], [9], [8, 8, 8, 8], [8, 10, 10]]
[[5, 8, 8, 8], [8, 8], [10, 10], [9, 10], [10, 10], [6, 6, 6, 6], [8, 8, 8]]
[[5, 8, 8], [8, 8], [8], [10, 10], [8, 8, 8], [9, 10], [10, 10], [6, 6, 6, 6]]
[[5, 8, 8], [10, 10], [6, 8, 8], [6, 8, 8], [8, 8], [], [9], [10, 10], [6, 6, 10]]
[[5, 8, 8], [6, 6, 6], [10, 10], [8, 8], [8, 8], [10], [9], [6], [10, 10], [8, 8]]
[[8, 10], [8, 10], [8, 8], [8, 8], [8, 8], [], [6, 10], [9], [10], [6, 10], [5, 6, 6]]
[[8, 8], [8, 8], [8, 8], [8, 8], [9], [5, 10], [10], [10], [10], [6, 6], [10], [6, 6]]
[[5], [8, 8], [8, 8], [8, 8], [6, 6], [10], [9], [10], [10], [10], [10], [6, 6], [8, 8]]
[[10], [10], [10], [6, 8], [8], [8], [8], [5, 8], [6, 8], [6, 8], [9], [10], [6, 8], [10]]
[[5, 8], [6, 8], [8], [8], [8], [8], [10], [10], [8], [9], [10], [6, 8], [10], [10], [6, 6]]
[[6, 6], [8], [10], [8], [8], [10], [9], [8], [6, 6], [8], [8], [8], [5, 8], [10], [10], [10]]
[[5, 6], [8], [8], [8], [8], [8], [10], [8], [8], [8], [10], [9], [10], [6], [10], [6, 6], [10]]
[[8], [8], [8], [9], [8], [8], [], [8], [6, 6], [10], [6], [10], [8], [10], [10], [10], [8], [5, 6]]
[[8], [8], [8], [6], [8], [6], [10], [8], [8], [8], [10], [10], [10], [10], [6], [6], [9], [5], [8]]
-EndAllocation

Instance: [[1], [151], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 10], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 6, 6, 6, 9, 10, 10, 10, 10], [7, 7, 8, 8, 8, 8, 8, 8, 9, 9]]
[[7, 8, 8, 8, 8, 8, 8], [4, 9, 9, 9], [6, 6, 6, 7, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [4, 7, 7], [10, 10, 10, 10], [6, 6, 6, 9, 9, 9]]
[[10, 10, 10, 10], [9, 9, 9], [4, 8, 8, 8, 8], [7, 7], [6, 6, 6, 8, 8]]
[[8, 8, 10], [4, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [], [6, 6, 6, 7, 7]]
[[4, 6, 6, 6], [8, 8, 8], [8, 8, 10], [8, 10, 10], [7, 7, 10], [], [9, 9, 9]]
[[4, 10, 10], [9], [10], [8, 8, 8], [8, 8, 8], [9, 9], [7, 10], [6, 6, 6, 7]]
[[4, 6, 7], [10, 10], [7, 10], [8, 9], [8, 9], [8, 8], [8, 8], [9], [6, 6, 10]]
[[4, 7, 10], [7, 9], [10, 10], [], [8], [8, 8], [8, 10], [8, 8], [6, 6, 6], [9, 9]]
[[4, 7, 7], [6, 6, 6], [9, 9], [10], [8], [8, 8], [10], [10], [8, 8], [9], [8, 10]]
[[4, 9], [6, 6], [8, 8], [8, 8], [10], [10], [7, 7], [10], [8, 8], [10], [9], [6, 9]]
[[4, 6, 6], [6, 9], [8, 8], [10], [8, 8], [10], [], [9], [10], [9], [8, 8], [7, 7], [10]]
[[4, 9], [6, 8], [10], [6, 8], [6, 8], [10], [10], [8], [8], [8], [9], [10], [9], [7, 7]]
[[4, 6], [6, 8], [8], [8], [9], [7, 7], [10], [8], [9], [10], [8], [6, 8], [10], [10], [9]]
[[6, 6], [9], [9], [9], [8], [10], [8], [10], [10], [8], [8], [6, 7], [8], [7], [10], [4, 8]]
[[4, 7], [8], [8], [8], [6], [9], [10], [8], [9], [7], [10], [6, 6], [9], [8], [10], [10], [8]]
[[4, 7], [6], [10], [9], [8], [8], [], [8], [8], [8], [10], [10], [8], [9], [7], [10], [9], [6, 6]]
[[7], [8], [7], [4, 6], [9], [6], [], [8], [8], [8], [10], [9], [10], [10], [8], [9], [10], [8], [6]]
-EndAllocation

Instance: [[1], [150], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 4], [4, 10, 10, 10, 10, 10, 10], [8, 9, 9, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 8, 10], [9, 9, 10, 10, 10], [10, 10, 10, 10, 10]]
[[], [8, 10, 10, 10], [10, 10, 10, 10], [9, 9, 10, 10], [4, 4, 4, 4, 4, 4, 10]]
[[], [10, 10, 10], [4, 4, 4, 8, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 9, 9]]
[[], [4, 4, 10, 10], [8, 10, 10], [9, 9, 10], [4, 4, 4, 4, 10], [10, 10], [10, 10]]
[[10], [4, 4, 4, 4, 4, 4], [10, 10], [8, 10], [10, 10], [10, 10], [9, 9], [10, 10]]
[[], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [8, 10], [9, 9], [4, 10]]
[[], [10, 10], [10, 10], [8, 10], [4, 4, 4, 4, 4], [10], [10, 10], [10, 10], [9, 9], [4]]
[[10], [4, 4, 10], [10], [4, 4, 10], [10], [4, 4, 10], [9, 9], [10], [10], [8, 10], [10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [8, 9], [9], [10], [4, 10], [4, 10], [4, 10]]
[[10], [4, 10], [9], [4, 10], [10], [10], [4, 10], [10], [10], [4, 9], [10], [10], [4, 4, 8]]
[[10], [4, 4, 4], [10], [10], [9], [10], [10], [4, 10], [10], [10], [10], [8], [4, 9], [4, 10]]
[[10], [8], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10], [9], [10], [10], [9], [10], [10]]
[[10], [10], [4, 9], [4, 4, 4], [4, 8], [10], [10], [10], [10], [9], [4], [10], [10], [10], [10], []]
[[10], [10], [9], [], [10], [4, 8], [10], [10], [10], [10], [10], [4, 4, 4], [10], [], [9], [10], [4, 4]]
[[10], [10], [10], [10], [10], [], [10], [9], [10], [8], [4, 4, 4], [], [10], [4, 4, 4], [10], [9], [], [10]]
[[9], [4, 4], [10], [4, 4], [10], [10], [10], [10], [10], [9], [10], [4, 4], [10], [10], [], [8], [], [10], []]
-EndAllocation

Instance: [[1], [149], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[7, 9, 9, 10, 10, 10], [4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 4], [4, 10, 10, 10, 10, 10, 10], [7, 9, 9, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 10, 10], [7, 9, 9, 10, 10], [10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 10, 10], [4, 4, 4, 4, 4, 4, 7]]
[[], [10, 10, 10], [4, 4, 4, 4, 10], [10, 10, 10], [10, 10, 10], [4, 4, 7, 9, 9]]
[[], [4, 4, 10, 10], [4, 4, 10, 10], [9, 9, 10], [4, 4, 10], [7, 10, 10], [10, 10]]
[[10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [7, 10], [10, 10], [9, 9], [10, 10]]
[[], [4, 4, 4, 4, 4], [10, 10], [10, 10], [7, 10], [10, 10], [10, 10], [9, 9], [4, 10]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [7], [10, 10], [10, 10], [9, 9], [4]]
[[10], [4, 4, 10], [10], [4, 4, 10], [10], [4, 4, 10], [7, 10], [10], [10], [9, 9], [10]]
[[9], [10], [4, 10], [7, 10], [4, 10], [10], [4, 10], [9], [10], [4, 10], [4, 10], [4, 10]]
[[10], [10], [7, 9], [10], [10], [4, 10], [10], [10], [10], [4, 9], [4, 4, 4, 4], [10], [10]]
[[10], [4, 4, 4], [10], [10], [9], [7], [10], [4, 10], [10], [10], [10], [10], [4, 9], [4, 10]]
[[10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [7], [10], [10], [9], [10], [10], [9], [10], [10]]
[[10], [10], [4, 9], [4, 4, 4], [4, 4], [10], [10], [10], [7], [9], [10], [10], [10], [10], [10], []]
[[10], [10], [9], [], [10], [4, 4, 4], [10], [10], [10], [10], [10], [4, 7], [10], [], [9], [10], [4, 4]]
[[10], [10], [10], [10], [10], [], [10], [9], [7], [], [4, 4, 4], [10], [10], [4, 4, 4], [10], [9], [], [10]]
[[9], [4, 4], [10], [7], [10], [10], [10], [10], [10], [9], [10], [4, 4], [10], [10], [], [4, 4], [], [10], []]
-EndAllocation

Instance: [[1], [148], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 5, 5, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 9, 10, 10, 10, 10], [3, 3, 3, 3, 5, 5, 8, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10, 10], [3, 3, 3, 3, 5, 5, 9, 9, 10, 10]]
[[10, 10], [5, 10, 10, 10, 10], [5, 8, 9, 9, 10], [3, 3, 3, 3, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 9, 10, 10], [3, 3, 3, 3, 5, 5, 10], [8, 10, 10, 10]]
[[10], [10, 10, 10], [8, 10], [5, 5, 9, 9], [3, 3, 3, 3, 10, 10], [10, 10, 10]]
[[10, 10], [10, 10], [10, 10], [9, 9, 10], [10, 10], [5, 5, 10], [3, 3, 3, 3, 8]]
[[10], [10, 10], [5, 8, 10], [5, 9, 9], [10], [10, 10], [3, 3, 3, 3, 10], [10, 10]]
[[], [9, 9], [10, 10], [3, 3, 3, 3, 10], [10, 10], [10, 10], [8], [5, 5, 10], [10, 10]]
[[], [5, 5, 10], [10, 10], [9, 9], [8, 10], [], [10, 10], [10, 10], [10, 10], [3, 3, 3, 3]]
[[10], [3, 5, 10], [3, 3, 10], [10], [9, 9], [8, 10], [10], [10], [10], [10], [3, 5, 10]]
[[9], [10], [10], [3, 3, 10], [10], [5, 10], [10], [10], [5, 10], [10], [3, 3, 10], [8, 9]]
[[10], [10], [10], [5, 10], [9], [3, 3, 10], [10], [10], [3, 3, 10], [8], [5, 10], [10], [9]]
[[9], [10], [10], [3, 5, 5], [10], [10], [10], [3, 10], [3, 10], [10], [8], [9], [3, 10], [10]]
[[10], [10], [3, 3, 3, 3], [10], [10], [10], [8], [10], [9], [9], [10], [10], [10], [10], [5, 5]]
[[8], [5, 5], [], [10], [10], [9], [10], [10], [10], [3, 3, 3, 3], [10], [10], [10], [10], [10], [9]]
[[], [10], [10], [10], [10], [10], [10], [8], [10], [9], [10], [3, 3, 3, 3], [5, 5], [10], [10], [], [9]]
[[10], [5, 5], [10], [], [], [10], [10], [3, 3, 3, 3], [10], [10], [], [8], [10], [10], [9], [9], [10], [10]]
[[], [10], [9], [5, 5], [10], [], [10], [9], [10], [10], [10], [3], [8], [10], [], [10], [3, 3, 3], [10], [10]]
-EndAllocation

Instance: [[1], [147], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 9, 10]]
[[10], [5, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 8, 9], [5, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5], [8, 10, 10]]
[[], [10, 10, 10], [5, 5, 5, 5, 8], [5, 5, 5, 5, 9], [10, 10, 10], [10, 10, 10]]
[[10, 10], [10, 10], [10, 10], [9, 10], [10, 10], [5, 5, 5, 5, 5], [5, 5, 5, 8]]
[[], [10, 10], [5, 8, 10], [5, 5, 5, 9], [5, 5, 5], [10, 10], [5, 10, 10], [10, 10]]
[[], [9, 10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [8], [5, 5, 5, 5], [10, 10]]
[[], [5, 5, 5, 5], [10, 10], [9, 10], [8], [], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10]]
[[10], [5, 5, 5], [5, 10], [10], [5, 9], [8, 10], [5, 10], [10], [5, 10], [10], [5, 10]]
[[10], [5, 10], [10], [10], [10], [5, 10], [5, 5, 5], [10], [5, 5, 5], [10], [10], [8, 9]]
[[10], [10], [10], [5, 5, 5], [10], [5, 5, 5], [10], [10], [10], [8], [5, 10], [5, 10], [9]]
[[5, 9], [10], [10], [10], [10], [5, 5], [5, 5], [10], [5, 5], [10], [5, 8], [10], [10], [10]]
[[10], [5, 5], [10], [10], [5, 5], [5, 5], [8], [10], [9], [10], [10], [10], [10], [10], [5, 5]]
[[8], [5, 5], [], [10], [5, 5], [10], [10], [10], [10], [5, 5], [5, 5], [10], [10], [10], [10], [9]]
[[10], [10], [10], [10], [5, 5], [5, 5], [10], [8], [10], [10], [10], [], [5, 5], [10], [5, 5], [], [9]]
[[10], [5, 5], [10], [], [], [5, 5], [10], [], [10], [5, 5], [5, 5], [8], [10], [10], [10], [9], [10], [10]]
[[], [10], [], [5, 5], [10], [5, 5], [10], [9], [5, 5], [10], [10], [5, 5], [8], [10], [], [10], [], [10], [10]]
-EndAllocation

Instance: [[1], [146], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 10, 10, 10], [4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 8, 10, 10], [10, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10], [8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 10, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [8, 10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10], [8, 10, 10]]
[[], [4, 4, 4, 4, 4, 4], [8, 10], [4, 10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [4, 4, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [8], [10, 10], [10, 10]]
[[], [10, 10], [4, 4, 10], [10, 10], [8], [], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4]]
[[10], [10], [10], [4, 4, 10], [4, 10], [8, 10], [10], [4, 4, 10], [10], [10], [4, 4, 10]]
[[10], [4, 10], [4, 10], [4, 10], [4, 10], [10], [10], [4, 10], [8], [4, 10], [4, 10], [10]]
[[10], [10], [10], [10], [4, 10], [10], [10], [10], [10], [4, 4, 8], [10], [4, 4, 4, 4], [10]]
[[10], [10], [10], [10], [10], [4, 10], [10], [10], [10], [4, 4, 4], [8], [4, 4, 4], [10], [10]]
[[10], [10], [10], [10], [10], [10], [8], [4, 4, 4], [10], [10], [4], [10], [10], [4, 4, 4], [10]]
[[8], [10], [], [10], [4, 4, 4], [10], [10], [4], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10]]
[[10], [10], [10], [10], [10], [4, 4, 4], [10], [8], [10], [10], [10], [], [], [10], [4], [4, 4, 4], [10]]
[[10], [8], [10], [], [4], [10], [10], [], [10], [10], [], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [10]]
[[], [10], [4], [10], [10], [], [10], [10], [4, 4], [10], [10], [], [8], [10], [4, 4], [10], [4, 4], [10], [10]]
-EndAllocation

Instance: [[1], [145], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,19. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 9, 10, 10, 10], [4, 4, 4, 4, 4, 4, 5, 8, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4], [4, 10, 10, 10, 10, 10, 10], [4, 5, 8, 9, 9, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 8, 10], [9, 9, 10, 10, 10], [5, 10, 10, 10, 10]]
[[9, 9], [5, 8, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 4, 8], [10, 10, 10], [10, 10, 10], [4, 5, 9, 9]]
[[], [4, 4, 10, 10], [8, 10, 10], [4, 5, 9, 9], [4, 4, 4, 10], [10, 10], [10, 10]]
[[], [4, 4, 4, 4, 4, 4], [10, 10], [8, 10], [5, 10, 10], [10, 10], [9, 9], [10, 10]]
[[10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10], [10, 10], [5, 8], [9, 9], [4, 10]]
[[], [10, 10], [10, 10], [8, 10], [4, 4, 4, 5], [], [10, 10], [10, 10], [9, 9], [4, 4, 4]]
[[10], [10], [4, 4, 4], [5, 10], [9, 9], [10], [4, 10], [10], [10], [8, 10], [4, 4, 10]]
[[9], [10], [5, 10], [4, 10], [4, 10], [10], [4, 8], [9], [10], [4, 10], [4, 10], [4, 10]]
[[10], [10], [9], [10], [10], [4, 4, 8], [10], [10], [10], [9], [4, 4, 4, 4], [10], [5, 10]]
[[10], [4, 4, 4], [10], [10], [9], [10], [10], [4, 10], [10], [10], [5], [8], [4, 9], [4, 10]]
[[10], [8], [4, 4, 4], [10], [10], [4, 4, 4], [5], [10], [10], [9], [10], [10], [9], [10], [10]]
[[10], [10], [4, 9], [4, 4, 4], [5, 8], [], [10], [10], [10], [9], [4, 4], [10], [10], [10], [10], []]
[[10], [10], [9], [], [10], [4, 8], [10], [], [10], [10], [10], [4, 4, 4], [10], [5], [9], [10], [4, 4]]
[[10], [10], [10], [10], [10], [], [10], [9], [], [8], [4, 4, 4], [], [10], [4, 4, 4], [10], [9], [5], [10]]
[[9], [4, 4], [10], [4, 5], [10], [10], [10], [10], [10], [9], [10], [4, 4], [10], [], [], [8], [4], [10], []]
-EndAllocation

Instance: [[1], [160], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10], [4, 4, 4, 6, 6, 7, 10, 10, 10]]
[[7, 9, 9, 9, 10, 10, 10], [4, 4, 4, 6, 6, 10, 10, 10, 10], [8, 8, 8, 8]]
[[4, 4, 4, 6, 6, 9, 9, 9], [7, 8, 8, 8, 8], [10, 10], [10, 10, 10, 10, 10]]
[[4, 4, 4, 6, 6, 7, 9], [8, 8, 8, 8, 10], [9, 9, 10, 10], [10, 10, 10, 10], []]
[[4, 8, 10, 10], [10, 10], [6, 6, 7], [8, 8, 8, 10], [10, 10], [4, 4, 9, 9, 9]]
[[8, 8, 8], [4, 4, 4], [10, 10, 10], [6, 6, 9, 9], [10, 10, 10], [8], [7, 9, 10]]
[[8, 8, 8], [8], [10, 10], [10, 10], [4, 4, 4, 9], [6, 9, 9], [7, 10], [6, 10, 10]]
[[8, 8, 8], [8, 10], [10], [7, 10], [10, 10], [9, 9], [4, 4, 4], [10, 10], [6, 6, 9]]
[[10, 10], [6, 6, 7], [9, 9], [9, 10], [4, 4, 4], [10, 10], [10, 10], [], [8, 8], [8, 8]]
[[6, 6, 8], [10, 10], [9, 9], [7, 9], [], [10, 10], [4, 4, 4, 8], [8, 8], [], [10, 10], [10]]
[[7, 10], [4, 4, 10], [8, 10], [9, 9], [8, 10], [10], [6, 6], [10], [8, 8], [10], [], [4, 9]]
[[4, 10], [4, 4, 9], [8, 9], [8, 9], [8], [10], [], [10], [6, 10], [6, 10], [7, 8], [10], [10]]
[[6, 10], [6, 10], [10], [7], [8, 8], [10], [9], [10], [9], [10], [8, 8], [10], [4, 4, 4], [9]]
[[4, 7], [10], [4, 8], [9], [10], [10], [9], [10], [6, 8], [8], [6, 8], [10], [10], [10], [4, 9]]
[[10], [4, 8], [10], [10], [10], [9], [9], [9], [8], [10], [6, 6], [8], [10], [4, 8], [4, 7], [10]]
[[6, 6], [8], [10], [10], [10], [4, 4, 4], [9], [9], [8], [8], [10], [10], [8], [7], [10], [9], [10]]
[[6, 6], [10], [4, 4, 4], [10], [10], [9], [10], [9], [8], [7], [10], [8], [8], [10], [], [8], [10], [9]]
[[6, 6], [10], [10], [10], [9], [7], [10], [8], [9], [], [4, 4, 4], [], [9], [10], [8], [8], [10], [10], [8]]
[[6], [10], [9], [4, 4], [10], [10], [9], [10], [8], [], [6], [8], [10], [8], [9], [10], [4], [7], [8], [10]]
-EndAllocation

Instance: [[1], [159], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[5, 5, 5, 5, 6, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 9], [10, 10, 10, 10, 10, 10]]
[[8, 8, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 10]]
[[8, 8, 8, 8, 8], [6, 8, 8, 8], [5, 5, 5, 5, 10, 10], [10], [9, 10, 10, 10]]
[[8, 8, 8, 10], [10], [6, 9, 10], [8, 8, 8, 10], [8, 8, 10], [5, 5, 5, 5, 10]]
[[8, 10, 10], [8, 8, 8], [6, 10], [9], [10, 10, 10], [5, 5, 5, 5, 8], [8, 8, 8]]
[[8, 8], [8, 8, 8], [5, 5, 5, 5], [6, 10, 10], [10], [10, 10], [9, 10], [8, 8, 8]]
[[8, 8, 8], [6, 8, 8], [8, 8, 8], [10, 10], [], [10, 10], [5, 5, 5, 5], [9], [10, 10]]
[[5, 5, 5, 5], [8, 8], [10, 10], [8, 8], [8, 8], [6, 10], [9], [10], [10, 10], [8, 8]]
[[5, 5, 5, 5], [8, 8], [8, 8], [8, 8], [8, 8], [10], [], [9], [10, 10], [10, 10], [6, 10]]
[[5, 5, 5], [8, 10], [8, 8], [8, 8], [9], [10], [8, 8], [], [10], [6, 10], [5, 10], [8, 10]]
[[8, 8], [8, 8], [8, 8], [5, 10], [5, 9], [5, 10], [], [], [6, 10], [10], [8, 8], [10], [5, 10]]
[[5, 5, 5], [8, 8], [8, 8], [8, 8], [10], [6, 10], [10], [], [10], [10], [10], [9], [5], [8, 8]]
[[10], [8], [5, 8], [5, 8], [5, 8], [10], [10], [6, 8], [8], [8], [10], [8], [10], [10], [5, 9]]
[[5, 8], [10], [10], [8], [8], [9], [6], [8], [10], [10], [8], [10], [5, 8], [5, 8], [5, 8], [10]]
[[9], [10], [5, 6], [10], [10], [8], [8], [10], [8], [8], [10], [], [8], [10], [5, 8], [5, 8], [5, 8]]
[[5, 5], [5, 5], [8], [10], [8], [8], [6], [8], [8], [8], [10], [10], [10], [10], [8], [9], [8], [10]]
[[5, 5], [10], [8], [5, 5], [8], [8], [8], [8], [8], [8], [8], [10], [10], [10], [6], [10], [], [9], [10]]
[[8], [5, 5], [10], [8], [8], [8], [5, 5], [8], [8], [8], [6], [9], [10], [], [10], [10], [], [10], [10], [8]]
-EndAllocation

Instance: [[1], [158], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5], [4, 5, 5, 6, 8, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10]]
[[10], [8, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 5, 6, 10], [10, 10, 10, 10, 10]]
[[10], [6, 8, 10, 10], [5, 5, 5, 5, 5, 5, 10], [4, 10, 10, 10], [10, 10, 10, 10]]
[[10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5], [8, 10, 10], [4, 6, 10, 10]]
[[], [5, 5, 5, 6, 8], [10, 10, 10], [5, 5, 5], [10, 10, 10], [4, 10, 10], [10, 10, 10]]
[[10], [5, 5, 6, 8], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 5, 5, 5, 5]]
[[], [4, 5, 5, 5, 5], [5, 5, 6], [8, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [5, 5, 8], [5, 5, 5, 5], [10, 10], [4, 6, 10], [10, 10], [10, 10], [], [10, 10], [10, 10]]
[[], [], [4, 5, 5, 5], [5, 5, 5], [10, 10], [10, 10], [8, 10], [10, 10], [6], [10, 10], [10, 10]]
[[10], [10], [4, 10], [5, 10], [5, 10], [10], [5, 10], [10], [5, 10], [10], [6, 10], [5, 5, 8]]
[[10], [10], [10], [10], [8], [10], [5, 10], [10], [4, 10], [5, 10], [6, 10], [5, 5, 5], [5, 10]]
[[10], [10], [10], [6, 10], [5, 5, 5], [10], [10], [10], [8], [4, 10], [10], [10], [5, 5, 5], [10]]
[[10], [10], [10], [10], [10], [5, 5], [10], [10], [10], [10], [4, 5, 5], [6, 8], [5, 5], [10], [10]]
[[10], [5, 8], [10], [10], [10], [10], [5, 6], [5, 5], [10], [4], [10], [10], [5, 5], [10], [10], [10]]
[[10], [10], [10], [5, 6], [10], [10], [5, 8], [5, 5], [10], [4], [10], [5, 5], [10], [10], [10], [], [10]]
[[10], [10], [6], [10], [10], [5, 5], [8], [10], [4], [10], [10], [10], [], [5, 5], [10], [10], [10], [5, 5]]
[[10], [5, 5], [5, 5], [10], [10], [10], [], [10], [10], [10], [10], [10], [4], [10], [10], [5, 5], [], [8], [6]]
[[10], [10], [], [10], [], [], [10], [5, 5], [6], [5, 5], [10], [10], [10], [10], [10], [10], [10], [5, 5], [8], [4]]
-EndAllocation

Instance: [[1], [157], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 10], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5], [5, 5, 5, 5, 8, 9, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10]]
[[9], [8, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 10], [10, 10, 10, 10, 10]]
[[], [8, 9, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [5, 10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [8, 9, 10], [10, 10, 10]]
[[], [5, 5, 5, 5, 8], [10, 10, 10], [5, 5, 5, 5], [10, 10, 10], [9, 10], [10, 10, 10]]
[[10], [5, 5, 5, 9], [10, 10], [10, 10], [8, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [8, 10], [9, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [5, 5, 8], [5, 5, 5, 5], [10, 10], [10, 10], [9, 10], [10, 10], [], [5, 5, 10], [10, 10]]
[[], [], [5, 5, 9], [5, 5, 5, 5], [5, 5, 10], [10, 10], [8, 10], [10, 10], [], [10, 10], [10, 10]]
[[10], [5, 10], [5, 10], [5, 10], [10], [10], [10], [5, 10], [5, 9], [5, 10], [10], [5, 5, 8]]
[[10], [10], [5, 9], [10], [8], [10], [5, 10], [5, 10], [10], [5, 10], [10], [5, 5, 5], [5, 10]]
[[10], [10], [5, 10], [10], [5, 5, 5], [10], [10], [10], [8], [9], [10], [5, 10], [5, 5, 5], [10]]
[[10], [10], [10], [5, 5], [10], [5, 5], [10], [10], [10], [5, 5], [5, 9], [10], [10], [5, 8], [10]]
[[10], [5, 8], [10], [5], [9], [10], [10], [5, 5], [10], [10], [10], [10], [5, 5], [10], [10], [5, 5]]
[[10], [10], [10], [5, 5], [10], [10], [9], [5, 5], [5, 5], [8], [10], [5, 5], [10], [10], [10], [], [10]]
[[], [10], [10], [5, 5], [10], [5, 5], [8], [9], [10], [10], [10], [10], [], [5, 5], [10], [10], [10], [5, 5]]
[[10], [5, 5], [5, 5], [10], [10], [10], [5, 5], [10], [9], [10], [], [10], [], [10], [10], [5, 5], [], [8], [10]]
[[10], [10], [], [5, 5], [], [9], [10], [5, 5], [], [5, 5], [10], [], [10], [10], [10], [10], [10], [5, 5], [8], [10]]
-EndAllocation

Instance: [[1], [156], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 5, 5, 6, 7, 8, 9], [5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 7, 8], [4, 4, 5, 5, 5, 6, 9, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10]]
[[10], [5, 5, 5, 6, 9, 9, 10], [10, 10, 10, 10, 10], [4, 4, 4, 7, 8, 10, 10]]
[[10], [8, 10, 10, 10], [10, 10, 10, 10], [6, 9, 9, 10], [4, 4, 4, 5, 5, 5, 7]]
[[10], [7, 10, 10], [10, 10, 10], [9, 9, 10], [4, 4, 4, 10, 10], [5, 5, 5, 6, 8]]
[[], [5, 10, 10], [10, 10, 10], [8, 10, 10], [10, 10], [5, 5, 9, 9], [4, 4, 4, 6, 7]]
[[], [7, 9, 9], [4, 10, 10], [6, 8, 10], [4, 10, 10], [10], [5, 5, 5, 10], [4, 10, 10]]
[[], [9, 10], [7, 10], [8, 10], [10, 10], [4, 4, 4, 10], [5, 5, 5, 9], [6, 10], [10, 10]]
[[], [4, 4, 4], [10, 10], [10, 10], [10, 10], [9, 9], [5, 5, 5], [6, 10], [8, 10], [7, 10]]
[[], [9, 9], [5, 5, 5], [10, 10], [4, 4, 4], [10, 10], [7, 10], [6, 10], [8, 10], [10, 10], []]
[[10], [7, 10], [10], [5, 5, 5], [8, 9], [10], [10], [6, 10], [10], [10], [4, 4, 9], [4, 10]]
[[10], [10], [4, 8], [10], [5, 5, 5], [4, 10], [4, 10], [7, 9], [9], [10], [10], [10], [6, 10]]
[[10], [10], [10], [7, 9], [10], [10], [10], [4, 8], [5, 5, 5], [10], [9], [10], [10], [4, 4, 6]]
[[10], [4, 10], [10], [10], [8], [10], [10], [10], [4, 4, 5], [10], [5, 9], [5, 6], [7], [9], [10]]
[[10], [7], [8], [10], [10], [5, 5], [10], [5, 6], [10], [10], [10], [9], [4, 4, 4], [9], [10], [10]]
[[10], [6], [10], [9], [4, 4, 4], [8], [10], [5, 5], [10], [5], [9], [10], [10], [10], [7], [10], [10]]
[[10], [4], [10], [10], [10], [10], [4, 7], [8], [10], [10], [5], [10], [5, 5], [9], [4, 6], [10], [], [9]]
[[10], [], [10], [9], [10], [10], [9], [10], [], [5, 6], [10], [8], [10], [5, 5], [7], [10], [], [10], [4, 4, 4]]
[[6], [10], [10], [9], [10], [5], [10], [], [10], [10], [4], [7], [], [5, 5], [8], [10], [10], [10], [9], [4, 4]]
-EndAllocation

Instance: [[1], [155], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12, 12, 10], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 7, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 7], [4, 4, 10, 10, 10, 10, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 7, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 7]]
[[10], [7, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10, 10]]
[[], [7, 10, 10], [10, 10, 10], [10, 10, 10], [10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 7], [4, 10, 10], [10, 10], [4, 10, 10], [10, 10], [10, 10], [4, 10, 10]]
[[], [10], [7, 10], [4, 10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10]]
[[], [4, 4, 4, 4, 4], [4, 4], [10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [7, 10]]
[[], [], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [7, 10], [10, 10], [4, 4, 10], [10, 10], []]
[[10], [4, 10], [4, 10], [4, 10], [4, 10], [10], [4, 10], [10], [4, 10], [10], [7, 10], [4, 10]]
[[10], [4, 10], [4, 10], [10], [4, 10], [4, 10], [4, 10], [4, 4, 7], [10], [10], [10], [10], [10]]
[[10], [4, 10], [10], [10], [10], [10], [4, 10], [10], [7], [4, 10], [10], [10], [10], [4, 4, 4, 4]]
[[10], [4, 4, 4], [4, 10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [7], [10], [10]]
[[10], [4, 4, 4], [10], [10], [7], [10], [10], [4], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10]]
[[10], [10], [10], [10], [4, 4, 4], [4], [], [10], [10], [10], [10], [4, 4, 4], [10], [10], [7], [10], [10]]
[[10], [10], [10], [10], [10], [10], [4, 7], [10], [10], [10], [], [10], [], [4, 4, 4], [4, 4, 4], [10], [10], []]
[[10], [], [10], [10], [10], [4, 4, 4], [10], [10], [], [], [10], [10], [10], [10], [7], [10], [4], [10], [4, 4, 4]]
[[10], [10], [10], [7], [], [10], [10], [], [10], [10], [4, 4], [10], [], [10], [10], [4], [10], [10], [4, 4], [4, 4]]
-EndAllocation

Instance: [[1], [154], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 5, 6, 6, 7, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 4, 5, 6, 6, 8, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 4, 5, 6, 6, 9, 9, 9, 9], [8, 10, 10, 10, 10, 10, 10], [7, 10, 10]]
[[2, 4, 5, 6, 6, 10, 10], [10, 10, 10, 10, 10], [7, 9, 9, 9, 9], [8, 10]]
[[2, 4, 5, 6, 6, 7, 8], [10, 10, 10, 10], [10, 10, 10, 10], [], [9, 9, 9, 9]]
[[2, 4, 5, 6, 6, 8], [7, 10, 10], [10, 10, 10], [9, 9], [9, 9], [10, 10, 10]]
[[2, 6, 10, 10], [10, 10], [10, 10], [9, 9], [9, 10, 10], [5, 6], [4, 7, 8, 9]]
[[6, 10, 10], [2, 5], [10, 10], [4, 9, 9], [9, 10], [8, 9], [7, 10], [6, 10, 10]]
[[2, 4, 5, 6, 7], [6, 9, 9], [9, 9], [10, 10], [8], [10, 10], [10, 10], [], [10, 10]]
[[2, 5, 6, 6], [9, 9], [10, 10], [10, 10], [4, 8, 9], [], [9], [10, 10], [7], [10, 10]]
[[2, 4, 10], [7, 10], [10], [9, 9], [9], [10], [9], [5, 10], [6, 10], [6, 10], [8, 10]]
[[2, 5, 10], [10], [10], [9], [10], [10], [7, 10], [4, 9], [9], [6, 10], [6, 10], [8, 9]]
[[2, 4, 9], [9], [9], [9], [10], [10], [10], [10], [10], [6, 10], [7, 8], [6, 10], [5, 10]]
[[6, 8], [9], [10], [10], [10], [9], [2, 10], [9], [10], [10], [10], [5, 9], [6, 7], [4, 10]]
[[2, 10], [9], [9], [10], [5, 9], [9], [10], [10], [10], [8], [10], [6], [10], [6, 7], [4, 10]]
[[2, 9], [9], [10], [10], [], [10], [10], [6], [10], [6, 7], [10], [9], [10], [10], [5, 8], [4, 9]]
[[4, 8], [9], [], [9], [10], [10], [9], [10], [9], [7], [10], [10], [10], [6], [10], [10], [2, 5, 6]]
[[2, 10], [], [7], [9], [9], [10], [9], [10], [10], [10], [10], [9], [10], [8], [10], [], [5, 6], [4, 6]]
[[2, 10], [], [10], [9], [9], [10], [10], [9], [10], [10], [10], [], [7], [9], [], [10], [6], [5, 6], [4, 8]]
[[2, 7], [10], [9], [10], [9], [], [9], [9], [10], [], [10], [10], [10], [10], [10], [6], [6], [8], [], [4, 5]]
-EndAllocation

Instance: [[1], [153], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10]; Results for m' = 2,...,20. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 8, 8, 8, 8, 8, 8, 8, 8, 9], [6, 6, 6, 6, 7, 7, 10, 10, 10, 10]]
[[2, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7], [9, 10, 10, 10, 10]]
[[2, 10, 10, 10, 10], [8, 8, 9], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7]]
[[2, 6, 6, 6, 6, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7], [8, 8, 9]]
[[2, 8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [10], [7, 7, 9]]
[[2, 8, 8, 8], [8, 8, 8], [9, 10, 10], [6, 6, 6, 6], [10, 10], [8, 8], [7, 7]]
[[2, 8, 8, 8], [8, 8, 8], [], [10, 10], [7, 7], [10, 10], [6, 6, 6, 6], [8, 8, 9]]
[[2, 7, 7], [8, 8], [8, 8], [8, 8], [6, 8, 8], [9], [10, 10], [10, 10], [6, 6, 6]]
[[2, 8, 8], [8, 8], [8, 8], [8, 8], [9], [6, 6, 6], [6], [7, 7], [10, 10], [10, 10]]
[[2, 8, 8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [9], [7, 7], [10], [10], [6, 10], [10]]
[[2, 6, 8], [8, 8], [8, 8], [8, 8], [9], [7, 10], [10], [7, 10], [], [10], [6, 6], [6, 8]]
[[2, 6, 6], [8, 8], [8, 8], [8, 8], [8, 8], [], [9], [10], [10], [10], [7, 7], [6, 6], [10]]
[[7, 7], [8], [9], [6, 8], [10], [8], [8], [6, 8], [6, 8], [6, 8], [10], [10], [8], [2, 10]]
[[2, 8], [10], [8], [6, 6], [10], [10], [8], [8], [8], [7, 7], [9], [8], [10], [6, 8], [6, 8]]
[[2, 8], [8], [6, 6], [8], [8], [9], [8], [6, 7], [8], [10], [8], [8], [10], [6, 7], [10], [10]]
[[2, 7], [8], [8], [8], [7], [8], [8], [10], [8], [8], [10], [10], [8], [9], [6, 6], [10], [6, 6]]
[[2, 8], [6, 6], [8], [8], [8], [8], [7], [6, 6], [8], [9], [10], [10], [], [10], [10], [7], [8], [8]]
[[2, 7], [6, 6], [8], [8], [8], [8], [8], [8], [6, 6], [8], [10], [], [], [10], [10], [10], [9], [7], [8]]
[[2, 6], [8], [8], [8], [8], [8], [8], [8], [8], [7], [], [9], [10], [6], [10], [10], [10], [6], [7], [6]]
-EndAllocation

Instance: [[1], [168], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 9], [5, 5, 6, 6, 10, 10, 10, 10, 10, 10, 10]]
[[3, 5, 5, 6, 6, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 10, 10, 10, 10, 10, 10]]
[[3, 5, 5, 8, 10, 10], [10, 10, 10, 10, 10], [6, 6, 9], [8, 8, 8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 10, 10], [9, 10], [5, 5, 8, 8, 8]]
[[3, 5, 5, 8, 8, 8], [6, 6, 8, 10], [8, 8, 8, 8], [10, 10, 10], [9, 10, 10], [10]]
[[8, 8, 8, 8], [10, 10, 10], [5, 5, 10, 10], [9, 10], [6, 6, 10], [3], [8, 8, 8, 8]]
[[8, 10, 10], [5, 5, 10], [8, 10, 10], [10, 10], [6, 6], [8, 8, 8], [9], [3, 8, 8, 8]]
[[8, 8], [6, 6, 10], [3, 5, 5, 9], [8, 8], [8, 10], [10, 10], [8, 10], [10, 10], [8, 8]]
[[5, 8, 8], [5, 8, 8], [8, 8], [10], [9, 10], [10], [8, 10], [10], [6, 6, 10], [3, 8, 10]]
[[3, 8, 10], [10, 10], [5, 8, 8], [5, 8, 8], [], [10, 10], [6, 6, 8], [], [10, 10], [9], [8, 8]]
[[8, 10], [8, 10], [3, 5, 8], [], [8, 8], [5, 10], [6, 9], [8, 10], [8, 10], [8, 10], [], [6, 10]]
[[6, 10], [8, 8], [5], [8, 8], [6, 9], [5, 10], [8, 8], [10], [10], [10], [10], [3, 10], [8, 8]]
[[3, 10], [5, 10], [8], [10], [8, 8], [8, 8], [8], [10], [8], [10], [8], [6, 10], [6, 10], [5, 9]]
[[3, 6, 6], [8, 8], [8, 8], [8, 8], [10], [10], [10], [10], [8, 8], [], [9], [10], [10], [10], [5, 5]]
[[10], [10], [5, 9], [5, 8], [6, 8], [10], [8], [10], [10], [6, 8], [8], [8], [8], [10], [8], [3, 10]]
[[3, 10], [6, 6], [10], [9], [10], [10], [5, 8], [5, 8], [8], [8], [8], [8], [8], [10], [10], [8], [10]]
[[3, 9], [10], [10], [5, 5], [8], [6, 6], [10], [10], [10], [8], [10], [10], [8], [8], [8], [8], [8], [8]]
[[3, 8], [5], [8], [10], [10], [8], [8], [8], [10], [5], [10], [8], [10], [8], [6, 6], [9], [8], [10], [10]]
[[5, 5], [8], [10], [8], [8], [8], [10], [8], [8], [10], [8], [6, 6], [10], [], [], [9], [10], [3, 8], [10], [10]]
[[8], [3], [6], [8], [10], [8], [8], [8], [10], [10], [10], [10], [], [8], [10], [8], [8], [9], [10], [6], [5, 5]]
-EndAllocation

Instance: [[1], [167], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 6, 8], [8, 8, 8, 8, 8, 8, 10, 10], [7, 7, 7, 7, 10, 10, 10, 10]]
[[5, 7, 7, 8, 8, 10], [10, 10, 10, 10, 10], [6, 6, 6], [7, 7, 8, 8, 8, 8, 8]]
[[5, 7, 7, 7, 7, 8], [10, 10, 10, 10], [6, 6, 6, 8], [10, 10], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [7, 10, 10, 10], [8, 8, 8], [7, 7, 7, 10], [6, 6, 6], [10, 10]]
[[7, 8, 10], [5, 10], [7, 7, 7, 10], [10], [6, 6, 6, 10], [8, 8, 8, 8], [8, 8, 10]]
[[5, 8, 10], [8, 8, 10], [10], [8, 8, 10], [6, 6, 6, 10], [8, 8], [10], [7, 7, 7, 7]]
[[6, 8, 8], [7, 7, 10], [6, 6, 10], [5, 7, 8], [8, 8], [10, 10], [], [10, 10], [7, 8, 8]]
[[5, 8], [10, 10], [8, 8], [7, 7, 8], [7, 7, 8], [10, 10], [], [6, 6, 6], [10, 10], [8, 8]]
[[5, 8, 8], [10, 10], [7, 10], [8, 8], [8, 10], [], [6, 6, 6], [], [10, 10], [7, 7, 7], [8, 8]]
[[10], [8, 8], [7, 8], [6, 8], [5, 6, 7], [8, 10], [8, 8], [10], [10], [6, 10], [7, 10], [7]]
[[5, 7], [8, 8], [6, 7], [8, 8], [7, 10], [6, 6], [8, 8], [10], [10], [8], [10], [7, 10], [10]]
[[7, 8], [8, 8], [10], [8, 8], [8, 8], [7], [10], [], [10], [6, 6], [10], [6, 10], [5, 10], [7, 7]]
[[7, 7], [6, 8], [8, 8], [8, 8], [5, 6], [10], [10], [], [8, 8], [], [10], [10], [10], [7, 7], [6, 10]]
[[8], [10], [6, 8], [10], [7, 7], [7, 7], [6, 8], [10], [10], [5, 8], [], [10], [8], [10], [8], [6, 8]]
[[10], [10], [5, 8], [8], [10], [10], [10], [8], [6, 7], [10], [8], [6, 7], [8], [7], [8], [6, 7], [8]]
[[5, 8], [8], [7], [7], [10], [10], [8], [10], [10], [10], [6, 7], [10], [8], [8], [8], [7], [6, 6], [8]]
[[8], [7], [7], [7], [8], [8], [7], [8], [8], [8], [10], [10], [10], [8], [6, 6], [10], [10], [10], [5, 6]]
[[6], [8], [10], [8], [8], [8], [8], [10], [8], [5, 7], [10], [10], [7], [10], [7], [10], [6, 6], [8], [7], []]
[[8], [7], [8], [8], [8], [8], [7], [7], [7], [10], [6], [10], [10], [10], [6], [10], [10], [5], [8], [6], [8]]
-EndAllocation

Instance: [[1], [166], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12, 12, 10], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 4, 8, 8, 8, 8, 8, 8, 8, 9, 9], [6, 6, 6, 7, 10, 10, 10, 10, 10, 10]]
[[3, 4, 7, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10, 10]]
[[3, 4, 7, 10], [10, 10, 10, 10, 10], [6, 6, 6, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6], [9, 9, 10, 10], [7, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [3, 6, 6, 10, 10], [6, 10, 10, 10], [7], [9, 9, 10], [8, 8, 8]]
[[3, 4, 8, 8, 8], [10, 10, 10], [10, 10], [9, 9], [6, 6, 6, 10], [7], [8, 8, 8, 8]]
[[3, 8, 8, 8], [4, 8, 8, 8], [10, 10], [10, 10], [6, 6, 6], [8], [9, 9], [7, 10, 10]]
[[8, 8, 8], [3, 4, 8, 8], [6, 6, 6], [7], [8, 8], [10, 10], [9, 9], [10, 10], [10, 10]]
[[4, 8, 8], [3, 8], [8, 8], [8, 8], [9, 9], [10, 10], [10, 10], [6, 6, 6], [7], [10, 10]]
[[3, 4, 7], [8, 10], [8, 8], [8, 8], [8, 8], [10], [6, 6, 6], [9, 9], [10, 10], [], [10, 10]]
[[8, 8], [8, 9], [8, 8], [8, 8], [7, 10], [3, 4, 9], [10], [6, 6, 6], [10], [10], [10], [10]]
[[3, 4, 6], [10], [10], [8, 8], [8], [6, 9], [8, 8], [10], [7, 10], [8, 8], [6, 10], [10], [9]]
[[4, 10], [6, 8], [8, 8], [8, 8], [8, 8], [3, 7], [10], [10], [9], [6, 6], [10], [10], [9], [10]]
[[3, 4, 8], [10], [8, 8], [8, 8], [9], [10], [10], [], [8, 8], [6, 6], [10], [7], [10], [10], [6, 9]]
[[3, 8], [4, 10], [9], [6, 8], [6, 8], [6, 8], [8], [10], [8], [7], [10], [9], [8], [10], [10], [10]]
[[3, 8], [6, 6], [4, 8], [8], [6, 7], [10], [10], [8], [10], [8], [10], [9], [8], [9], [10], [10], [8]]
[[3, 10], [4, 9], [6], [8], [7], [8], [8], [10], [10], [10], [10], [8], [10], [8], [9], [8], [6, 6], [8]]
[[3, 7], [4, 8], [8], [9], [8], [8], [8], [10], [8], [8], [9], [10], [10], [10], [6, 6], [10], [], [10], [6]]
[[10], [9], [10], [10], [8], [8], [8], [6], [9], [7], [8], [8], [10], [8], [], [10], [6, 6], [8], [10], [3, 4]]
[[9], [8], [3, 6], [8], [8], [8], [8], [8], [10], [10], [10], [6], [10], [], [8], [9], [7], [6], [10], [10], [4]]
-EndAllocation

Instance: [[1], [165], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10], [1, 3, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 9, 10]]
[[6, 9, 9, 9], [3, 10, 10, 10, 10, 10, 10, 10], [1, 5, 5, 6, 7, 8, 8, 9, 10]]
[[10, 10], [5, 5, 6, 7, 10], [6, 10, 10, 10, 10, 10], [1, 3, 8, 8, 9, 9, 9, 9]]
[[10], [3, 5, 8, 8, 10], [6, 6, 10, 10, 10], [5, 9, 9, 9, 9], [1, 7, 10, 10, 10]]
[[10], [9, 9, 9, 10], [3, 7, 10, 10], [10, 10, 10], [6, 6, 8, 8, 9], [1, 5, 5, 10]]
[[10], [6, 6, 7, 9], [1, 3, 9, 9, 10], [5, 10], [5, 10, 10], [10, 10, 10], [8, 8, 9]]
[[], [3, 8, 10], [8, 10, 10], [6, 10, 10], [9, 10], [6, 10, 10], [5, 5, 9], [1, 7, 9, 9]]
[[9], [7, 8, 10], [10, 10], [9, 10], [9], [3, 5, 5, 10], [9, 10], [1, 6, 6, 8], [10, 10]]
[[], [9, 10], [6, 6, 10], [5, 5, 9], [9, 9], [10, 10], [8, 10], [3, 7, 10], [8, 10], [1, 10]]
[[], [5, 9], [6, 10], [3, 8], [1, 6, 9], [10, 10], [9, 10], [10, 10], [5, 10], [7, 8], [9, 10]]
[[9, 9], [10], [10], [7, 9], [10], [3, 9], [1, 5, 5], [10], [6, 10], [8, 10], [6, 10], [8, 10]]
[[9], [10], [7, 10], [8, 8], [10], [10], [1, 5, 9], [6, 10], [3, 5, 9], [6, 10], [10], [9], [10]]
[[9], [1, 9], [9], [9], [3, 10], [10], [10], [10], [6, 10], [10], [5, 10], [6, 7], [8, 8], [5, 10]]
[[10], [5, 9], [10], [3, 10], [9], [5, 9], [6, 8], [10], [8], [10], [6, 7], [10], [1, 10], [10], [9]]
[[10], [10], [10], [3, 9], [10], [10], [9], [10], [5, 9], [7], [8], [5, 6], [1, 10], [10], [6, 8], [9]]
[[10], [10], [5, 8], [10], [5], [9], [10], [1, 8], [9], [10], [10], [3, 9], [10], [10], [9], [6, 7], [6]]
[[], [10], [5, 6], [9], [6], [9], [10], [10], [10], [9], [9], [7], [8], [5, 8], [10], [10], [3, 10], [1, 10]]
[[8], [8], [1, 10], [5], [10], [6], [7], [10], [9], [10], [9], [10], [10], [3, 6], [10], [9], [5], [10], [9]]
[[10], [10], [10], [9], [9], [5], [10], [8], [10], [10], [6], [9], [5, 6], [9], [3], [1, 8], [10], [], [10], [7]]
[[], [10], [10], [9], [9], [6], [10], [], [5], [9], [10], [9], [3, 6], [5], [10], [10], [10], [10], [8], [8], [1, 7]]
-EndAllocation

Instance: [[1], [164], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9]]
[[5, 5, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10, 10]]
[[6, 6, 6, 6, 8, 8], [5, 5, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [10, 10], [5, 5, 6, 6, 6, 6, 10], [9, 9, 9, 9], [8, 8, 8]]
[[6, 8, 8, 8], [6, 6, 10], [9, 10, 10], [6, 8, 8, 8], [5, 5, 9], [8, 8, 9, 9]]
[[8, 8, 9], [6, 6, 6, 6], [5, 5, 9, 9], [], [10, 10, 10], [8, 8, 9], [8, 8, 8, 8]]
[[6, 9, 10], [8], [10, 10], [8], [5, 5, 6, 6, 6], [8, 8, 8], [9, 9, 9], [8, 8, 8]]
[[5, 8, 9], [5, 6, 9], [10, 10], [6, 8], [9, 9], [], [8, 8, 8], [6, 6, 10], [8, 8, 8]]
[[9, 9], [5, 6, 8], [8, 8], [5, 8, 8], [10], [10, 10], [8], [6, 6, 6], [9, 9], [8, 8]]
[[8, 8], [6, 9], [8, 8], [8, 8], [], [10, 10], [6, 6, 6], [8, 8], [9, 9], [5, 5], [9, 10]]
[[6, 9], [8, 8], [8, 9], [10], [8], [5, 10], [8, 8], [9, 9], [], [6, 6, 6], [5, 10], [8, 8]]
[[6, 8], [6, 8], [6, 8], [8, 8], [8, 8], [10], [9], [9], [9], [10], [6, 10], [8, 9], [5, 5]]
[[6, 9], [6, 6], [8, 8], [8, 8], [10], [], [10], [8, 8], [5, 9], [5], [9], [9], [6, 10], [8, 8]]
[[5, 8], [6, 8], [9], [10], [10], [6, 8], [6, 8], [8], [8], [9], [8], [6, 8], [5, 9], [10], [9]]
[[5, 9], [10], [5, 8], [8], [10], [9], [8], [9], [8], [10], [6, 8], [8], [9], [8], [6, 6], [6, 8]]
[[5, 8], [5, 8], [10], [8], [8], [9], [9], [8], [10], [8], [8], [6, 6], [6, 6], [10], [8], [9], [9]]
[[10], [8], [10], [9], [9], [5, 8], [6, 6], [10], [8], [8], [5, 8], [8], [8], [8], [], [9], [6, 6], [9]]
[[8], [9], [10], [8], [8], [6, 6], [8], [8], [8], [10], [10], [9], [8], [5, 5], [8], [6, 6], [9], [], [9]]
[[8], [6, 6], [8], [5], [10], [8], [10], [9], [8], [8], [6], [8], [6], [5], [10], [9], [8], [9], [9], [8]]
[[9], [9], [8], [8], [8], [8], [8], [6], [6], [6], [10], [5, 5], [8], [10], [6], [8], [9], [], [10], [9], [8]]
-EndAllocation

Instance: [[1], [163], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[9, 9, 10, 10, 10, 10, 10, 10], [4, 4, 4, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8]]
[[7, 9, 9], [6, 6, 6, 8, 8, 8, 8, 8, 8], [4, 4, 4, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 6, 6, 6, 9, 9], [10, 10, 10, 10, 10], [7, 10], [8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 8, 8, 8], [7], [10, 10, 10, 10], [9, 9, 10, 10], [6, 6, 6, 8, 8, 8]]
[[4, 4, 4, 8, 8], [], [7, 10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 9, 9], [10, 10, 10]]
[[4, 4, 4, 8], [], [7, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 8]]
[[4, 4, 4], [8, 8, 8], [10, 10], [10, 10], [7], [8, 8, 8], [9, 9, 10], [6, 6, 6, 10]]
[[4, 10, 10], [8, 8, 8], [4, 10, 10], [], [7, 9, 9], [], [6, 6, 6], [4, 10, 10], [8, 8, 8]]
[[4, 4, 6, 6], [8, 8], [8, 8], [10, 10], [], [10, 10], [10, 10], [7], [4, 9, 9], [6, 8, 8]]
[[4, 4, 10], [4, 8, 8], [7, 10], [8, 8], [], [10, 10], [8, 8], [], [9, 9], [10, 10], [6, 6, 6]]
[[4, 10], [8, 8], [8, 8], [6, 6, 6], [7], [10], [8, 8], [10], [10], [9, 9], [10], [4, 4, 10]]
[[8, 8], [6, 10], [6, 9], [8, 8], [8, 8], [7, 10], [10], [], [10], [9], [10], [6, 10], [4, 4, 4]]
[[6, 9], [4, 4, 4], [6, 6], [8, 8], [10], [10], [10], [8, 8], [], [10], [10], [10], [7, 9], [8, 8]]
[[9], [10], [4, 10], [10], [6, 8], [10], [8], [8], [8], [10], [8], [6, 7], [6, 8], [4, 10], [4, 9]]
[[4, 8], [6, 8], [4, 10], [8], [9], [9], [10], [7], [8], [10], [10], [8], [10], [8], [6, 6], [4, 10]]
[[10], [10], [6, 7], [6, 6], [4, 4, 4], [9], [9], [8], [10], [8], [8], [8], [10], [10], [8], [8], [10]]
[[10], [10], [4, 4, 4], [6, 6], [], [8], [8], [10], [10], [9], [10], [9], [8], [8], [8], [6, 7], [8], [10]]
[[8], [10], [10], [6], [7], [], [8], [8], [8], [10], [10], [9], [10], [9], [8], [10], [6, 6], [8], [4, 4, 4]]
[[8], [10], [], [8], [7], [8], [8], [10], [10], [8], [8], [], [10], [9], [10], [9], [10], [6], [4, 4, 4], [6, 6]]
[[8], [4, 4], [], [6], [8], [8], [10], [8], [], [9], [10], [6], [8], [10], [7], [8], [10], [9], [10], [10], [4, 6]]
-EndAllocation

Instance: [[1], [162], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 5, 6, 6, 7, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[6, 10, 10, 10, 10, 10, 10, 10, 10], [1, 3, 5, 6, 7, 8, 9, 9, 9, 9, 10]]
[[10, 10, 10, 10], [3, 7, 10, 10, 10, 10], [1, 5, 6, 6, 8, 9, 9, 9, 9, 10]]
[[8], [3, 5, 10, 10, 10, 10], [7, 9, 9, 9, 9, 10], [1, 6, 6, 10, 10, 10, 10]]
[[10, 10], [6, 7, 10, 10, 10], [9, 10, 10, 10], [5, 6, 9, 9, 9], [1, 3, 8, 10]]
[[10, 10], [9, 9, 9], [6, 6, 10, 10], [9, 10], [3, 7, 10, 10], [1, 5, 8, 10, 10]]
[[], [6, 10, 10], [5, 7, 8], [10, 10, 10], [10, 10, 10], [1, 6, 9, 10], [3, 9, 9, 9]]
[[10, 10], [5, 9, 10], [10, 10], [10], [10, 10], [1, 8, 10], [3, 9, 9], [6, 6, 7, 9]]
[[], [3, 10, 10], [5, 7, 9], [9, 10], [9, 10], [1, 10, 10], [9, 10], [6, 6, 8], [10, 10]]
[[], [9, 10], [6, 6, 8], [9, 10], [1, 3, 7, 10], [10, 10], [10, 10], [9, 10], [9, 10], [5]]
[[], [5, 10], [10], [1, 9, 10], [6, 9], [9, 10], [8, 10], [3, 10], [7, 9], [10, 10], [6, 10]]
[[9, 9], [3, 10], [1, 10], [10], [10], [7, 10], [8, 10], [6, 6], [9, 9], [10], [5, 10], [10]]
[[10], [10], [10], [8, 9], [6, 10], [7, 9], [10], [6, 10], [5, 10], [1, 3, 9], [10], [10], [9]]
[[10], [10], [10], [10], [1, 10], [10], [7, 9], [6, 8], [5, 9], [3, 10], [9], [10], [9], [6, 10]]
[[9], [10], [5, 9], [6, 7], [9], [10], [10], [9], [1, 10], [10], [10], [6, 8], [10], [3, 10], [10]]
[[10], [10], [6], [10], [10], [10], [6, 8], [9], [9], [10], [10], [5, 7], [1, 10], [9], [9], [3, 10]]
[[9], [10], [10], [8], [10], [1, 9], [3, 7], [9], [10], [6], [10], [10], [10], [10], [10], [5, 6], [9]]
[[10], [6], [9], [10], [10], [1, 6], [8], [7], [10], [10], [10], [9], [9], [10], [10], [10], [5], [3, 9]]
[[10], [10], [9], [10], [10], [8], [3], [5], [10], [10], [1, 10], [9], [9], [10], [6], [10], [7], [6], [9]]
[[10], [10], [], [9], [], [], [10], [10], [8], [6], [5, 7], [9], [6], [10], [1, 10], [10], [3, 9], [10], [10], [9]]
[[8], [10], [7], [5], [9], [10], [10], [1, 6], [10], [6], [9], [10], [9], [10], [3], [9], [10], [], [10], [], [10]]
-EndAllocation

Instance: [[1], [161], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 5, 5, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,21. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,21:
-StartAllocation
[[3, 3, 3, 3, 5, 8, 9, 9, 10], [3, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [9, 9, 10, 10, 10, 10, 10], [3, 3, 3, 3, 3, 5, 5, 8, 10, 10, 10]]
[[10], [8, 10, 10, 10, 10], [10, 10, 10, 10, 10], [3, 3, 3, 3, 3, 5, 5, 9, 9, 10]]
[[], [3, 10, 10, 10, 10], [3, 3, 3, 3, 5, 5, 9, 9], [10, 10, 10, 10], [8, 10, 10, 10]]
[[10], [5, 9, 9, 10], [8, 10, 10], [10, 10, 10], [10, 10, 10], [3, 3, 3, 3, 3, 5, 10]]
[[], [10, 10, 10], [5, 5, 10, 10], [3, 10], [3, 8, 9, 9], [3, 3, 3, 10, 10], [10, 10, 10]]
[[], [8, 10, 10], [10, 10], [10, 10], [9, 9, 10], [10, 10], [3, 3, 3, 3, 3, 10], [5, 5, 10]]
[[10, 10], [3, 3, 3, 3, 3], [5, 5, 10], [10, 10], [9, 9], [10, 10], [10, 10], [8, 10], [10]]
[[], [10, 10], [10, 10], [10], [10, 10], [10, 10], [5, 5, 10], [9, 9], [8, 10], [3, 3, 3, 3, 3]]
[[], [10], [10, 10], [10, 10], [8, 10], [10, 10], [], [5, 5, 10], [9, 9], [10, 10], [3, 3, 3, 3, 3]]
[[10], [8, 10], [3, 3, 10], [3, 10], [3, 3, 10], [9, 9], [10], [5, 10], [5, 10], [10], [10], [10]]
[[10], [5, 10], [10], [5, 10], [10], [10], [8, 9], [3, 9], [3, 3, 10], [10], [10], [3, 3, 10], [10]]
[[10], [3, 3, 9], [10], [8], [5, 10], [10], [10], [10], [3, 10], [10], [9], [3, 3, 10], [5, 10], [10]]
[[10], [10], [10], [5, 5], [10], [10], [3, 10], [10], [3, 10], [3, 9], [8], [9], [3, 10], [3, 10], [10]]
[[10], [10], [3, 3, 3, 3], [8], [9], [9], [10], [3, 10], [10], [10], [10], [5, 5], [10], [10], [10], [10]]
[[10], [10], [9], [8], [10], [10], [3, 3, 3, 3], [10], [10], [9], [], [10], [10], [3, 5, 5], [10], [10], [10]]
[[9], [10], [9], [10], [10], [10], [10], [5, 5], [10], [3, 3, 3, 3], [8], [3], [10], [10], [], [10], [10], [10]]
[[10], [10], [5, 5], [3], [10], [10], [], [10], [10], [10], [10], [10], [3, 3, 3, 3], [10], [10], [9], [9], [8], []]
[[], [10], [3, 9], [], [10], [9], [5, 5], [10], [10], [8], [10], [3, 3, 3, 3], [10], [], [10], [], [10], [10], [10], [10]]
[[], [], [10], [10], [10], [], [10], [10], [9], [8], [10], [10], [], [9], [10], [10], [10], [10], [3, 3], [3, 3, 3], [5, 5]]
-EndAllocation

Instance: [[1], [176], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 5, 6, 6, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 3, 3, 6, 6, 8, 9, 9, 9, 9]]
[[3, 3, 3, 5, 10, 10], [10, 10, 10, 10, 10, 10, 10], [6, 6, 8, 8, 8, 9, 9, 9, 9]]
[[3, 3, 3, 5, 6, 6, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[3, 3, 3, 5, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 10], [6, 6], [10, 10, 10, 10]]
[[5, 10], [9, 9, 9, 9], [3, 3, 3, 10, 10], [8, 8, 8], [6, 6, 10, 10], [10, 10, 10, 10]]
[[5, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8], [10], [10, 10, 10], [3, 3, 3, 6, 6, 9]]
[[5, 8, 8, 8], [3, 3, 3, 10, 10], [9, 9, 9], [], [6, 6, 10], [10, 10], [10, 10], [9, 10, 10]]
[[5, 10, 10], [10, 10], [9, 9], [6, 6], [8, 8, 8], [3, 9, 9], [10, 10], [3, 3, 10, 10], [10]]
[[5, 8, 8], [9, 9], [], [10, 10], [9, 9], [6, 6, 10], [10, 10], [10, 10], [3, 3, 3, 8], [10, 10]]
[[5, 6, 6], [10, 10], [10, 10], [8, 10], [10, 10], [10, 10], [9, 9], [], [8, 8], [3, 3, 3], [9, 9]]
[[9, 9], [5, 6, 6], [], [10], [9, 9], [10, 10], [], [10, 10], [8, 10], [8, 8], [10, 10], [3, 3, 3, 10]]
[[6, 10], [10], [8, 8], [9, 9], [10], [10], [10], [3, 3, 10], [8, 10], [10], [10], [9, 9], [3, 5, 6]]
[[8, 9], [10], [10], [9], [6, 10], [3, 3, 3], [8, 9], [8, 9], [10], [5, 10], [6, 10], [10], [10], [10]]
[[5, 9], [9], [10], [8], [3, 3, 10], [10], [10], [8, 8], [9], [6, 10], [9], [10], [10], [3, 10], [6, 10]]
[[3, 9], [9], [10], [9], [8], [10], [10], [10], [6, 8], [6, 8], [10], [10], [10], [3, 10], [5, 9], [3, 10]]
[[5, 9], [9], [9], [8], [10], [10], [9], [10], [10], [6, 8], [6, 8], [10], [10], [10], [10], [10], [3, 3, 3]]
[[3, 3, 5], [10], [9], [8], [9], [10], [8], [10], [6, 6], [10], [9], [10], [9], [10], [8], [10], [10], [3, 10]]
[[6, 6], [], [8], [10], [8], [10], [10], [9], [9], [9], [10], [3, 3, 3], [10], [10], [5, 8], [10], [10], [10], [9]]
[[5, 6], [10], [10], [8], [10], [10], [], [9], [6], [10], [8], [10], [9], [10], [10], [9], [8], [3, 3, 3], [10], [9]]
[[9], [3, 3, 3], [10], [10], [], [], [8], [10], [6, 6], [9], [10], [10], [10], [8], [10], [5], [8], [10], [9], [10], [9]]
[[3, 3, 3], [10], [], [], [6], [10], [8], [9], [10], [10], [10], [10], [5], [6], [9], [10], [10], [9], [10], [8], [9], [8]]
-EndAllocation

Instance: [[1], [175], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[6, 6, 6, 6, 7, 7, 7, 9, 9, 9], [7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9], [7, 7, 7, 7]]
[[6, 8, 8, 8, 8, 8], [6, 6, 9, 9, 9], [7, 7, 7, 7], [6, 10, 10, 10, 10], [8, 8]]
[[8, 8], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10, 10]]
[[10], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [8, 8, 8, 8]]
[[10, 10], [8, 8, 8], [9, 9, 9], [8], [7, 7, 7, 7], [10, 10], [6, 6, 6, 6], [8, 8, 8]]
[[6, 10, 10], [8, 8, 8], [6, 6, 9], [7], [8, 8, 8], [9, 9], [7, 7, 7], [6, 10, 10], [8]]
[[7, 7, 7], [8, 8], [8, 8, 8], [], [10, 10], [6, 9, 9], [9], [10, 10], [6, 6, 6], [7, 8, 8]]
[[7, 8], [6], [8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [8, 8], [10, 10], [10, 10], [9]]
[[6, 7, 7], [6, 6, 8], [8, 8], [8, 8], [8, 8], [], [], [10, 10], [9], [10, 10], [9, 9], [6, 7, 7]]
[[7, 10], [6, 8], [8, 8], [8, 8], [], [10], [10], [9, 9], [7, 10], [7, 7], [8, 8], [9], [6, 6, 6]]
[[6, 8], [8, 8], [6, 6], [6, 9], [10], [9], [10], [8, 8], [7, 7], [10], [7, 7], [10], [9], [8, 8]]
[[6, 10], [6, 6], [8], [10], [7], [9], [10], [7, 7], [], [8, 8], [8, 8], [7, 9], [10], [6, 9], [8, 8]]
[[6, 8], [9], [10], [9], [7, 7], [6, 8], [6, 8], [10], [9], [8], [6, 8], [7, 7], [8], [8], [10], [10]]
[[9], [7, 7], [6, 8], [10], [6, 8], [6, 8], [], [9], [8], [10], [8], [8], [10], [10], [7, 7], [9], [6, 8]]
[[10], [9], [6, 7], [8], [8], [8], [9], [8], [6, 7], [10], [6, 7], [8], [10], [8], [6, 7], [8], [10], [9]]
[[8], [6, 7], [6, 7], [8], [8], [8], [], [10], [8], [10], [9], [6, 7], [8], [10], [9], [8], [10], [6, 7], [9]]
[[8], [7], [8], [7], [8], [8], [8], [10], [7], [9], [7], [6, 6], [8], [10], [8], [9], [6, 6], [10], [9], [10]]
[[7], [8], [7], [10], [8], [6, 6], [7], [8], [8], [10], [8], [8], [8], [], [9], [7], [9], [10], [10], [9], [6, 6]]
[[7], [8], [8], [7], [6], [6], [6], [8], [8], [7], [10], [10], [10], [9], [9], [10], [8], [7], [9], [6], [8], [8]]
-EndAllocation

Instance: [[1], [174], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[10, 10, 10, 10, 10, 10], [1, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10]]
[[8, 8, 8], [4, 5, 6, 6, 7, 7, 10, 10, 10, 10], [1, 8, 9, 9, 9, 9, 10, 10, 10]]
[[9, 9], [1, 5, 6, 8, 8, 8, 9], [7, 7, 9, 10, 10, 10], [4, 6, 8, 10, 10, 10, 10]]
[[10, 10], [5, 8, 10], [6, 6, 7, 8, 8, 8], [7, 9, 9, 9, 9], [1, 4, 10, 10, 10, 10]]
[[], [1, 9, 9, 9, 9], [6, 7, 7, 10], [4, 8, 8, 8, 8], [6, 10, 10, 10], [5, 10, 10, 10]]
[[], [4, 8, 10, 10], [5, 9, 9, 9], [7, 10, 10], [1, 7, 9, 10], [8, 10, 10], [6, 6, 8, 8]]
[[], [8, 9, 10], [9, 9, 10], [5, 7, 8, 8], [4, 6, 6, 9], [7, 10, 10], [1, 8, 10, 10], [10]]
[[], [9, 10], [1, 5, 10, 10], [6, 6, 10], [7, 7, 8], [8, 8, 10], [4, 10, 10], [9], [8, 9, 9]]
[[], [6, 8, 10], [9, 10], [7, 7, 10], [4, 5, 10], [1, 9], [9, 10], [9, 10], [8, 8], [6, 8, 10]]
[[], [6, 6, 8], [4, 9], [9, 9], [5, 10], [1, 9, 10], [7, 10], [7, 8], [8, 10], [8, 10], [10, 10]]
[[], [1, 4, 6, 6], [5, 10], [9, 10], [7, 9], [8, 10], [8, 10], [8, 10], [9, 10], [7, 9], [8], [10]]
[[10], [8, 10], [9], [9], [6, 6], [1, 10], [5, 9], [4, 10], [8, 8], [9], [7, 10], [8, 10], [7, 10]]
[[10], [4, 9], [6, 7], [5, 8], [10], [1, 10], [8, 9], [7, 10], [10], [8, 9], [8, 9], [10], [6], [10]]
[[9], [1, 5, 8], [10], [10], [4, 10], [10], [9], [8, 8], [10], [6, 8], [7, 9], [6, 7], [10], [10], [9]]
[[10], [4, 10], [9], [10], [8], [10], [5, 9], [6, 8], [9], [7, 7], [10], [10], [10], [6, 8], [1, 9], [8]]
[[8], [10], [9], [10], [9], [9], [4, 10], [5, 8], [10], [7], [9], [6, 8], [10], [6, 7], [10], [1, 8], [10]]
[[7], [9], [9], [9], [6, 7], [1, 8], [10], [5, 8], [10], [10], [8], [10], [8], [10], [10], [9], [4, 6], [10]]
[[10], [9], [8], [10], [10], [8], [5, 8], [10], [6], [8], [9], [7], [4, 6], [10], [9], [9], [10], [7], [1, 10]]
[[10], [9], [10], [8], [1, 7], [10], [8], [9], [10], [10], [6], [8], [9], [6], [8], [7], [9], [4, 5], [10], [10]]
[[9], [4, 7], [1, 9], [10], [9], [6], [10], [8], [6], [8], [5], [10], [8], [9], [7], [10], [], [10], [10], [10], [8]]
[[10], [10], [], [10], [8], [9], [7], [8], [10], [10], [1, 7], [6], [9], [9], [], [8], [10], [9], [5], [10], [4, 6], [8]]
-EndAllocation

Instance: [[1], [173], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[3, 3, 4, 6, 6, 7, 9, 9, 10], [3, 5, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 10], [3, 3, 3, 5, 6, 6, 7, 8, 10, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10]]
[[], [7, 10, 10, 10, 10, 10], [3, 3, 3, 4, 5, 6, 6, 9, 9, 10], [8, 10, 10, 10, 10, 10]]
[[10], [3, 3, 3, 5, 8, 10, 10], [10, 10, 10, 10], [4, 6, 6, 7, 10, 10], [9, 9, 10, 10]]
[[], [9, 9, 10], [5, 10, 10, 10], [3, 3, 10, 10, 10], [6, 6, 7, 8, 10], [3, 4, 10, 10, 10]]
[[], [3, 3, 3, 6, 10], [4, 5, 6, 7, 8], [9, 9, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[], [6, 6, 10], [10, 10], [9, 10, 10], [10, 10], [7, 10, 10], [3, 3, 3, 9, 10], [4, 5, 8, 10]]
[[10], [10, 10], [10, 10], [10, 10], [9, 9], [8, 10], [4, 5, 7, 10], [3, 3, 3, 10], [6, 6, 10]]
[[], [5, 6, 6], [3, 3, 3, 8], [10, 10], [9, 9], [4, 7, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [9, 10], [10, 10], [7, 9], [3, 3, 3, 4], [10, 10], [5, 8], [10, 10], [10, 10], [6, 6]]
[[], [6, 6], [3, 3, 3, 10], [10, 10], [10, 10], [5, 10], [7, 10], [10], [8], [9, 9], [10, 10], [4, 10]]
[[10], [10], [10], [6, 10], [9, 9], [6, 10], [10], [10], [3, 3, 3, 8], [7, 10], [4, 10], [10], [5, 10]]
[[10], [9], [8, 9], [3, 3, 3, 4], [5, 10], [10], [6, 10], [10], [10], [10], [10], [7, 10], [6, 10], [10]]
[[10], [7, 9], [10], [5, 10], [10], [10], [4, 10], [8], [3, 3, 10], [6, 6], [10], [10], [9], [10], [3, 10]]
[[10], [10], [10], [4, 6], [10], [10], [10], [9], [3, 10], [10], [10], [5, 9], [10], [10], [3, 3, 7], [6, 8]]
[[10], [8], [10], [10], [10], [10], [6, 6], [10], [5, 9], [10], [7], [4, 10], [10], [9], [3, 3, 3], [10], [10]]
[[10], [3, 3, 3], [10], [4, 5], [10], [7], [10], [8], [6, 6], [10], [10], [10], [10], [9], [10], [10], [9], [10]]
[[9], [10], [6, 6], [3, 9], [10], [10], [4], [10], [10], [10], [3, 3, 7], [10], [10], [], [], [10], [5, 8], [10], [10]]
[[7], [6, 6], [], [10], [9], [10], [4], [10], [10], [10], [10], [3, 8], [10], [9], [10], [3, 3], [10], [10], [10], [5]]
[[10], [3, 3, 3], [10], [10], [5], [], [9], [10], [10], [6, 6], [4], [10], [10], [9], [7], [10], [8], [10], [10], [10], []]
[[10], [10], [], [10], [10], [7], [10], [], [10], [6], [10], [9], [10], [4], [9], [10], [3, 3, 3], [5], [10], [6], [10], [8]]
-EndAllocation

Instance: [[1], [172], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[9, 9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5], [5, 5, 5, 5, 9, 9, 9, 10, 10, 10], [5, 10, 10, 10, 10, 10, 10, 10]]
[[10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [10, 10, 10, 10, 10], [9, 9, 9, 10, 10, 10]]
[[10], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [5, 10, 10, 10], [10, 10, 10], [9, 9, 9, 10], [5, 5, 5, 5, 5, 5, 5], [5, 10, 10, 10]]
[[], [5, 5, 10], [5, 9, 9, 9], [5, 5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10, 10], [5, 5, 5, 5, 5], [10, 10], [9, 9, 9], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[10], [5, 5, 5, 5], [9, 9], [9, 10], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5]]
[[], [9, 9], [10, 10], [10, 10], [9, 10], [5, 5, 5, 5], [10, 10], [5, 5, 5, 5], [5, 10], [10, 10]]
[[], [10, 10], [9, 9], [], [5, 5, 5, 5], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [5, 9], [10, 10]]
[[], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [9], [5], [10, 10], [], [5, 5, 5, 5], [10, 10], [9, 9]]
[[10], [5, 10], [10], [9, 9], [10], [9], [10], [5, 10], [5, 10], [5, 5, 5], [5, 10], [5, 10], [5, 10]]
[[10], [5, 10], [5, 10], [9], [10], [5, 5, 5], [5, 10], [9], [10], [5, 9], [10], [5, 10], [5, 10], [10]]
[[10], [10], [10], [10], [10], [10], [5, 10], [5, 5, 5], [5, 10], [5, 10], [5, 5, 5], [9], [9], [9], [10]]
[[10], [5, 9], [5, 9], [10], [10], [10], [10], [5, 9], [10], [10], [10], [5, 5], [5, 5], [10], [10], [5, 5]]
[[10], [10], [10], [10], [10], [5, 5], [5, 5], [9], [10], [10], [10], [5, 5], [10], [5, 9], [10], [5, 5], [9]]
[[10], [5, 5], [10], [10], [9], [10], [10], [5, 5], [10], [9], [5], [5, 5], [9], [10], [10], [5, 5], [10], [10]]
[[10], [9], [10], [5, 5], [5], [9], [10], [10], [5, 5], [], [10], [10], [5, 5], [10], [10], [9], [5, 5], [10], [10]]
[[10], [], [10], [10], [5, 5], [5, 5], [5, 5], [10], [9], [10], [], [10], [10], [5], [10], [5, 5], [9], [9], [10], [10]]
[[9], [10], [5, 5], [10], [], [10], [9], [5, 5], [10], [10], [5, 5], [10], [10], [10], [10], [], [], [9], [5, 5], [10], [5]]
[[9], [10], [10], [10], [5, 5], [], [10], [10], [5, 5], [5], [], [], [], [10], [5, 5], [10], [5, 5], [9], [10], [9], [10], [10]]
-EndAllocation

Instance: [[1], [171], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12, 12, 12, 10], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[9, 9, 9, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5], [5, 5, 5, 5, 9, 9, 9, 9, 10, 10], [5, 10, 10, 10, 10, 10, 10, 10]]
[[10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 10, 10]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [5, 10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 5, 5, 5], [5, 10, 10, 10]]
[[], [5, 5, 5, 5], [5, 9, 9, 9], [5, 5, 5, 5, 9], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10], [5, 5, 5, 5, 5], [9, 10, 10], [9, 9, 9], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[10], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5]]
[[], [9, 9], [10, 10], [10, 10], [9, 9], [5, 5, 5, 5], [10, 10], [5, 5, 5, 5], [5, 10], [10, 10]]
[[], [10, 10], [9, 9], [9], [5, 5, 5, 5], [10, 10], [5, 5, 5, 5], [10], [10, 10], [5, 9], [10, 10]]
[[], [10], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9], [5], [10, 10], [], [5, 5, 5, 5], [10, 10], [9, 9]]
[[10], [10], [10], [9, 9], [10], [9, 9], [10], [5, 10], [5, 5, 5], [5, 5, 5], [10], [5, 10], [5, 10]]
[[10], [5, 10], [9], [9], [10], [5, 5, 5], [5, 10], [5, 9], [5, 10], [5, 9], [10], [5, 10], [10], [10]]
[[10], [10], [10], [5, 10], [9], [10], [5, 10], [5, 5, 5], [10], [5, 10], [5, 5, 5], [9], [9], [9], [10]]
[[9], [5, 9], [5, 9], [10], [10], [10], [10], [5, 9], [10], [10], [10], [5, 5], [5, 5], [10], [10], [5, 5]]
[[10], [10], [10], [10], [10], [5, 5], [5, 5], [9], [10], [10], [9], [5, 5], [10], [5, 9], [10], [5, 5], [9]]
[[10], [5, 5], [10], [10], [9], [10], [9], [5, 5], [10], [9], [5], [5, 5], [9], [10], [10], [5, 5], [10], [10]]
[[10], [9], [10], [5, 5], [9], [9], [10], [10], [5, 5], [], [10], [5], [5, 5], [10], [10], [9], [5, 5], [10], [10]]
[[10], [], [10], [10], [5, 5], [5, 5], [9], [10], [9], [10], [], [10], [10], [5, 5], [5], [5, 5], [9], [9], [10], [10]]
[[9], [10], [5, 5], [10], [], [9], [9], [5, 5], [10], [10], [5, 5], [10], [10], [10], [10], [], [], [9], [5, 5], [10], [5]]
[[9], [10], [9], [10], [5, 5], [], [10], [10], [5, 5], [5], [], [], [], [10], [5, 5], [10], [5, 5], [9], [10], [9], [10], [10]]
-EndAllocation

Instance: [[1], [170], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 4], [4, 4, 8, 10, 10, 10, 10, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [8, 10, 10, 10, 10], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 4, 4, 10], [10, 10, 10, 10], [10, 10, 10, 10], [8, 10, 10, 10]]
[[10], [10, 10, 10], [10, 10, 10], [8, 10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [8, 10, 10], [10, 10]]
[[10], [4, 10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10], [8, 10, 10], [10, 10]]
[[10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [4, 4, 10], [10, 10], [10, 10], [8, 10]]
[[], [4, 4, 4, 10], [4, 4, 4, 4, 4], [10], [10, 10], [8, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [8], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [10], [4, 4, 4]]
[[], [8, 10], [10, 10], [4, 4, 4], [4, 4, 4, 4, 4], [10, 10], [10, 10], [], [], [10, 10], [10, 10], [10, 10]]
[[10], [10], [10], [4, 4, 10], [4, 4, 10], [4, 4, 10], [10], [4, 4, 10], [10], [10], [8, 10], [10], [10]]
[[10], [4, 10], [10], [4, 10], [4, 10], [10], [4, 10], [10], [10], [10], [4, 10], [4, 4, 8], [10], [4, 10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [10], [4, 10], [10], [10], [10], [10], [8], [4, 4, 4, 4], [10]]
[[10], [4, 10], [10], [10], [10], [10], [10], [10], [8], [4, 4, 4], [10], [10], [10], [10], [4, 4, 4], [4, 10]]
[[10], [10], [8], [10], [10], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [10], [4, 4]]
[[8], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [4, 4], [10], [], [10], [10], [10], [10], [4, 4, 4], [10]]
[[10], [10], [10], [4, 4, 4], [], [10], [10], [10], [10], [4, 4], [10], [10], [], [4, 4, 4], [10], [10], [10], [10], [8]]
[[10], [10], [], [10], [10], [10], [10], [4, 8], [10], [], [10], [10], [4, 4, 4], [10], [10], [], [4, 4, 4], [10], [10], [4]]
[[], [10], [10], [10], [8], [10], [4, 4], [10], [10], [10], [10], [], [], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], []]
[[10], [4, 4], [4, 4], [10], [], [10], [], [10], [10], [10], [10], [4, 4], [10], [], [10], [10], [10], [8], [4, 4], [], [10], [10]]
-EndAllocation

Instance: [[1], [169], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 5, 5, 5, 5, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,22. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 7, 7, 10, 10, 10, 10], [2, 2, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 7], [5, 10, 10, 10, 10, 10, 10, 10], [2, 2, 2, 7, 9, 10, 10, 10, 10, 10]]
[[10], [9, 10, 10, 10, 10], [2, 2, 2, 5, 5, 5, 5, 10, 10, 10], [7, 7, 10, 10, 10, 10]]
[[10], [2, 2, 2, 10, 10, 10], [9, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 10]]
[[10], [9, 10, 10], [2, 2, 2, 10, 10, 10], [7, 7, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10]]
[[], [2, 2, 2, 9, 10], [10, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10], [7, 7, 10], [10, 10, 10]]
[[], [9, 10, 10], [5, 5, 5, 5, 7], [7, 10, 10], [2, 2, 2, 10, 10], [10, 10], [10, 10], [10, 10]]
[[10], [5, 5, 5, 5], [10, 10], [9, 10], [10, 10], [2, 2, 2, 7, 7], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [9, 10], [10], [10, 10], [10, 10], [10, 10], [2, 2, 2, 5, 5, 5], [10, 10], [5, 7, 7]]
[[], [7], [10, 10], [7, 10], [2, 2, 2, 9], [10], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[], [7, 7], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [], [10, 10], [10, 10], [2, 2, 2, 9], [10, 10], []]
[[10], [10], [5, 10], [10], [2, 2, 2, 10], [7, 9], [5, 10], [5, 10], [10], [10], [7, 10], [5, 10], [10]]
[[10], [10], [5, 5, 5], [7, 9], [7, 10], [10], [10], [10], [10], [10], [5, 10], [10], [2, 2, 2, 10], [10]]
[[10], [10], [2, 2, 2, 10], [5, 10], [10], [10], [9], [10], [10], [10], [10], [10], [10], [7, 7], [5, 5, 5]]
[[10], [9], [10], [7, 7], [5, 5], [10], [10], [10], [2, 2, 5, 5], [10], [10], [2, 10], [10], [10], [10], [10]]
[[10], [10], [10], [10], [10], [5, 5], [5, 5], [10], [10], [7], [10], [10], [9], [10], [2, 2, 2, 7], [10], [10]]
[[10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [10], [10], [7], [2, 2, 2], [7], [5, 5], [5, 5], [10]]
[[7], [], [10], [10], [10], [9], [10], [7], [10], [2, 2, 2], [10], [10], [10], [10], [10], [10], [5, 5], [10], [5, 5]]
[[10], [], [7], [10], [2, 2], [10], [10], [10], [9], [10], [10], [10], [7], [10], [10], [10], [5, 5], [10], [2, 5, 5], []]
[[], [10], [10], [10], [7], [10], [10], [5, 5], [10], [10], [9], [], [10], [10], [2, 2, 2], [7], [10], [10], [5, 5], [10], []]
[[10], [7], [], [], [7], [], [10], [10], [10], [9], [], [10], [5, 5], [10], [10], [10], [10], [5, 5], [10], [10], [2, 2, 2], [10]]
-EndAllocation

Instance: [[1], [184], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 10, 10, 10, 10], [5, 5, 5, 6, 6, 7, 7, 9, 9, 10, 10, 10, 10]]
[[5, 6, 6, 7, 7, 10, 10, 10, 10], [5, 5, 5, 9, 9, 10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8], [9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 7, 7, 10, 10]]
[[5, 10, 10, 10, 10], [7, 7, 9, 9, 10], [6, 6], [5, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10]]
[[5, 9], [7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 6, 6, 9], [8, 8, 8, 8, 8]]
[[5, 5, 5, 10, 10], [10, 10, 10], [9, 9], [8, 8, 8], [10, 10, 10], [7, 7], [5, 6, 6, 8, 8]]
[[5, 5, 5, 5, 10], [8, 10], [8, 8, 10], [6, 6, 10], [7, 7, 10], [10], [9, 9, 10], [8, 8, 10]]
[[10], [8, 8, 8], [5, 10, 10], [5, 6, 10], [5, 10], [6, 10, 10], [7, 7, 10], [5, 9, 9], [8, 8]]
[[8, 10], [5, 10, 10], [5, 5, 9], [5, 10], [10], [10], [7, 7, 9], [8, 10], [6, 6, 10], [8, 8, 8]]
[[5, 8, 8], [5, 5, 10], [10, 10], [5], [9, 9], [6, 6, 10], [10, 10], [7, 7], [8, 8], [10, 10], [8]]
[[10, 10], [5], [8, 8], [8, 8], [6, 6], [10, 10], [5, 5, 5], [10, 10], [9, 9], [10, 10], [7, 7], [8]]
[[], [8, 8], [6, 10], [8, 8], [5, 5, 5], [5, 10], [6, 7, 7], [9, 9], [10, 10], [10, 10], [10, 10], [], [8]]
[[8, 10], [5, 10], [5, 5, 5], [8, 8], [8, 8], [6, 10], [10], [10], [7, 7], [10], [10], [9, 9], [], [6, 10]]
[[9], [8, 8], [8, 8], [5, 5, 5], [5, 10], [6, 10], [6, 10], [10], [7, 7], [10], [10], [10], [9], [10], [8]]
[[5, 5, 5], [5, 8], [6, 10], [8], [10], [10], [10], [7, 7], [10], [9], [10], [10], [9], [10], [8, 8], [6, 8]]
[[10], [5, 8], [10], [10], [5, 9], [10], [5, 8], [7, 7], [10], [10], [8], [9], [8], [10], [10], [6, 8], [5, 6]]
[[5, 8], [5, 8], [5, 8], [10], [5, 6], [10], [6, 8], [7, 7], [8], [9], [], [10], [10], [10], [9], [10], [10], [10]]
[[10], [9], [10], [5, 8], [10], [5, 7], [10], [10], [8], [6, 6], [8], [8], [10], [8], [5, 7], [10], [10], [9], [5]]
[[5, 8], [10], [10], [10], [5], [10], [5, 8], [10], [9], [10], [7], [10], [9], [8], [6, 6], [7], [8], [10], [8], [5]]
[[], [8], [5, 5], [8], [6], [10], [10], [10], [10], [10], [10], [5, 6], [10], [7], [8], [9], [9], [10], [8], [8], [5, 7]]
[[9], [6, 6], [5, 5], [5], [10], [10], [8], [10], [10], [8], [8], [5], [], [8], [8], [10], [10], [7], [9], [10], [10], [7]]
[[8], [8], [5, 5], [10], [10], [5], [10], [8], [5], [10], [10], [7], [8], [10], [8], [6], [10], [10], [9], [6], [9], [7], []]
-EndAllocation

Instance: [[1], [183], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 9, 9, 9, 9]]
[[5, 7, 7, 10, 10], [9, 9, 9, 9, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7]]
[[5, 8, 8, 8, 8, 8], [7, 9, 9, 9, 9], [], [5, 5, 5, 5, 8, 10, 10], [7, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 5, 5, 10, 10], [5], [9, 9, 9, 9], [7, 7, 8]]
[[5, 8, 8], [5, 5, 5, 5, 10], [9, 9, 9, 9], [], [10, 10, 10], [7, 7, 10, 10], [8, 8, 8, 8]]
[[5, 5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [10, 10, 10], [], [10, 10, 10], [7, 7, 9], [9, 9, 9]]
[[5, 5, 5, 5, 5], [8, 8, 8], [10, 10], [], [8, 8, 8], [10, 10], [7, 7, 9], [9, 9, 9], [10, 10]]
[[5, 10, 10], [9, 9], [10, 10], [8, 8, 8], [], [8, 8, 8], [7, 9, 9], [10, 10], [7], [5, 5, 5, 5]]
[[5, 8, 8], [8, 8], [8, 8], [7, 7], [9, 9], [10, 10], [10, 10], [9, 9], [], [10, 10], [5, 5, 5, 5]]
[[5, 8, 8], [8, 8], [8, 8], [7, 7], [], [10, 10], [], [10, 10], [9, 9], [10, 10], [9, 9], [5, 5, 5, 5]]
[[8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [5], [], [7, 7], [9, 9], [], [10, 10], [10, 10], [10, 10], [9, 9]]
[[5], [8, 8], [8, 8], [8, 8], [5, 5, 5], [5, 10], [10], [10], [7, 7], [10], [10], [9, 9], [9, 9], [10]]
[[8, 8], [8, 8], [8, 8], [5, 5, 5], [5, 10], [10], [10], [5, 9], [7, 7], [9], [10], [10], [9], [9], [10]]
[[5, 8], [5, 8], [8, 8], [8, 8], [10], [10], [10], [7, 7], [9], [9], [10], [9], [9], [10], [10], [5, 5, 5]]
[[10], [5, 9], [10], [5, 8], [8], [5, 8], [9], [8], [8], [9], [10], [7, 7], [5, 9], [10], [10], [10], [5, 8]]
[[10], [5, 5], [10], [8], [8], [10], [5, 8], [10], [8], [8], [9], [9], [10], [5, 8], [5, 9], [7, 7], [10], [9]]
[[9], [5, 5], [10], [9], [9], [5, 8], [5, 8], [10], [8], [8], [10], [7], [10], [10], [10], [8], [8], [9], [5, 7]]
[[5, 7], [10], [9], [5, 5], [9], [5, 8], [10], [8], [], [10], [8], [10], [9], [8], [8], [8], [10], [5, 7], [9], [10]]
[[9], [5, 5], [10], [10], [10], [8], [5, 7], [8], [8], [10], [8], [], [9], [10], [5, 5], [9], [7], [9], [10], [8], [8]]
[[9], [10], [8], [5, 5], [8], [8], [8], [8], [8], [5, 7], [10], [9], [10], [], [], [10], [10], [7], [9], [10], [9], [5, 5]]
[[5, 5], [8], [5, 5], [8], [8], [8], [8], [8], [5], [10], [], [7], [], [10], [10], [9], [9], [10], [9], [7], [9], [10], [10]]
-EndAllocation

Instance: [[1], [182], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 9, 9, 9], [4, 7, 7, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6], [4, 6, 10, 10, 10, 10, 10, 10, 10], [5, 7, 7, 8, 8, 8, 8, 9, 9, 9]]
[[9], [10, 10, 10, 10, 10, 10], [4, 5, 8, 8, 8, 8, 9, 10], [6, 6, 6, 6, 6, 7, 7, 9]]
[[], [6, 7, 7, 9, 9, 9], [4, 5, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8], [8, 8, 10, 10, 10]]
[[], [4, 7, 7, 8, 8], [10, 10, 10, 10], [8, 10, 10, 10], [6, 6, 9, 9, 9], [5, 6, 6, 6, 8]]
[[], [6, 6, 6, 7, 7], [6, 6, 10, 10], [8, 8, 8, 8], [4, 10, 10], [5, 9, 9, 9], [10, 10, 10]]
[[], [4, 10, 10], [9, 10], [7, 9, 9], [10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6], [5, 7, 8, 10]]
[[], [4, 8, 8], [7, 10, 10], [5, 8, 8], [9, 9, 9], [6, 10, 10], [6, 6, 6, 6], [7, 10, 10], [10]]
[[], [8, 10], [6, 6, 6, 6], [10, 10], [6, 10], [10, 10], [8, 8, 8], [4, 5, 7, 7], [9, 10], [9, 9]]
[[], [6], [10, 10], [10, 10], [10, 10], [5, 7, 7], [4, 8, 8], [6, 6, 6], [6, 8, 8], [9, 9], [9, 10]]
[[], [6, 6, 6], [8, 8], [], [10, 10], [4, 8, 8], [9, 9], [10, 10], [7, 7], [6, 6, 9], [10, 10], [5, 10]]
[[10], [6, 6, 6], [10], [10], [9, 9], [7, 7], [6, 10], [6, 9], [8, 8], [8, 8], [4, 10], [10], [5, 10]]
[[8, 9], [6, 6], [10], [10], [4, 10], [10], [8, 8], [5, 8], [7, 9], [10], [6, 9], [10], [7, 10], [6, 6]]
[[10], [6, 10], [6, 10], [], [9], [5, 10], [6, 6], [6, 10], [7], [9], [8, 8], [7, 10], [4, 10], [9], [8, 8]]
[[10], [9], [5, 8], [6, 10], [9], [6, 9], [6, 10], [10], [8], [10], [6, 6], [4, 10], [10], [], [8, 8], [7, 7]]
[[8], [6, 8], [5, 8], [10], [9], [10], [10], [7, 7], [8], [9], [6, 6], [9], [10], [4, 10], [10], [6, 6], [10]]
[[8], [10], [9], [6, 8], [10], [10], [9], [10], [5, 8], [8], [6, 6], [], [10], [9], [10], [4, 10], [6, 6], [7, 7]]
[[10], [10], [4, 8], [6, 6], [10], [9], [6, 6], [5, 8], [10], [7], [8], [10], [8], [10], [6, 7], [], [9], [9], [10]]
[[10], [6, 6], [7], [9], [9], [4, 9], [8], [10], [6, 6], [8], [8], [5], [8], [10], [10], [10], [7], [10], [6], [10]]
[[10], [10], [10], [6, 6], [9], [4, 7], [8], [5], [10], [6], [10], [8], [10], [9], [8], [9], [7], [6, 6], [], [8], [10]]
[[9], [8], [10], [10], [6], [], [8], [7], [9], [], [7], [8], [6, 6], [6, 6], [10], [10], [5], [9], [10], [10], [4, 8], [10]]
[[6], [6], [7], [8], [10], [8], [8], [10], [9], [6], [9], [10], [6], [10], [9], [10], [10], [4], [10], [7], [5], [6], [8]]
-EndAllocation

Instance: [[1], [181], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6, 9, 9], [7, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 10], [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 9], [7, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [6, 6, 6, 6, 6, 6, 10, 10], [5, 5, 7, 8, 8, 9, 10], [7, 7, 9, 10, 10, 10]]
[[], [8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9], [7, 7, 8, 9, 10], [5, 5, 7, 10, 10, 10]]
[[9], [7, 7, 9], [8, 8, 10, 10], [5, 5, 10, 10, 10], [7, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[], [5, 5, 6, 7, 10], [10, 10, 10], [8, 8, 9], [10, 10, 10], [7, 7, 9, 10], [6, 6, 6, 6, 6]]
[[], [8, 8, 9], [10, 10, 10], [6, 6, 6, 6, 6], [6, 7, 9], [10, 10], [10, 10, 10], [5, 5, 7, 7]]
[[], [6, 6, 6, 9], [5, 5, 6, 10], [8], [7, 10, 10], [10, 10], [6, 10, 10], [7, 7, 10], [6, 8, 9]]
[[], [10, 10], [6, 6], [10, 10], [7, 7, 8], [10, 10], [10, 10], [9, 9], [6, 6, 6, 6], [5, 5, 7, 8]]
[[], [8, 10], [6, 7, 7], [7, 10], [8, 10], [9, 10], [9, 10], [10], [6, 6, 6], [5, 5, 10], [6, 6, 10]]
[[], [8, 9], [5, 5, 8], [10, 10], [6, 6, 6], [7, 7], [10, 10], [7, 10], [9], [6, 6, 6], [10, 10], [10]]
[[10], [6, 6, 6], [8, 10], [8, 10], [7, 9], [10], [10], [5, 5, 7], [9], [10], [6, 6, 6], [7, 10], [10]]
[[10], [10], [10], [8, 9], [7, 10], [7, 10], [10], [6, 6], [6, 6], [7, 10], [10], [5, 5], [8, 9], [6, 6]]
[[10], [6, 9], [10], [10], [5, 5, 7], [10], [8], [10], [10], [6, 6], [7], [8, 9], [6, 6], [6, 10], [7, 10]]
[[10], [8], [8], [6, 6], [6, 6], [10], [9], [10], [10], [10], [6, 10], [7, 7], [7, 9], [5, 5], [10], [6, 10]]
[[10], [8], [10], [10], [5, 5], [7, 7], [6, 6], [10], [10], [6, 7], [9], [10], [6, 8], [10], [10], [6, 6], [9]]
[[10], [10], [5, 5], [7, 7], [6, 6], [8], [10], [10], [6, 6], [10], [10], [10], [10], [9], [6, 6], [7], [9], [8]]
[[7], [9], [10], [10], [10], [6, 6], [8], [7], [10], [8], [10], [10], [6, 6], [5, 5], [7], [6, 6], [10], [9], [10]]
[[7], [10], [9], [10], [], [10], [10], [9], [8], [10], [10], [6, 6], [10], [5, 5], [6], [8], [7], [6, 6], [6, 7], [10]]
[[], [], [7], [10], [10], [6, 6], [6, 6], [7], [9], [10], [10], [5, 5], [10], [10], [10], [8], [6, 6], [8], [10], [9], [7]]
[[8], [10], [], [7], [6, 6], [10], [7], [5, 5], [10], [6, 6], [], [9], [9], [6, 6], [10], [8], [10], [10], [10], [], [10], [7]]
[[10], [7], [10], [8], [10], [10], [6], [10], [10], [7], [], [5, 5], [9], [6], [8], [10], [7], [10], [6], [6], [6], [6], [9]]
-EndAllocation

Instance: [[1], [180], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 6, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 6, 6, 6, 8, 8], [5, 9, 9, 9, 9, 9, 9], [5, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 8, 10, 10, 10], [9, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 8, 10, 10, 10], [10]]
[[5, 5, 9, 9, 9, 9], [6, 6, 6, 10, 10, 10], [4, 4, 4, 8, 8, 9, 9], [10, 10, 10, 10], []]
[[4, 4, 4, 5, 5, 9, 9], [8, 8, 9, 9], [6, 6, 6, 10, 10], [9, 9, 10], [10, 10, 10, 10], []]
[[6, 6, 6, 8, 8], [10, 10, 10], [10, 10, 10], [9, 9, 9], [], [4, 4, 4, 5, 5, 10], [9, 9, 9]]
[[6, 8, 8], [10, 10, 10], [10, 10, 10], [], [9, 9, 9], [4, 4, 4, 10], [6, 6, 9, 9], [5, 5, 9]]
[[6, 10, 10], [9, 10], [10, 10], [4, 4, 4], [8, 9, 9], [5, 5, 6, 6], [10, 10], [9, 9], [8, 9]]
[[5, 5, 6], [9, 9], [4, 4, 4, 9], [6, 6, 10], [10, 10], [10, 10], [8, 8], [9, 9], [9], [10, 10]]
[[6, 6, 6], [4, 4, 4, 10], [9, 9], [10, 10], [5, 8, 8], [10, 10], [9, 9], [], [5], [10, 10], [9, 9]]
[[5, 5, 6], [10, 10], [10], [6], [4, 4, 4], [9, 9], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [6]]
[[5, 5, 6], [9, 9], [10], [10], [10], [10], [8, 10], [10], [6, 6], [9, 9], [4, 4, 4], [8, 10], [9, 9]]
[[4, 10], [10], [9], [8, 8], [5, 9], [9], [5, 10], [9], [10], [6, 10], [6, 9], [6, 10], [4, 10], [4, 9]]
[[5, 10], [10], [9], [8, 8], [6, 9], [9], [9], [10], [5, 9], [4, 4, 4], [10], [9], [10], [6, 10], [6, 10]]
[[4, 4, 4], [10], [5, 9], [8, 8], [9], [5, 9], [9], [10], [10], [10], [6, 6], [10], [10], [9], [9], [6, 10]]
[[6, 8], [4, 4, 4], [6, 6], [10], [10], [9], [9], [9], [10], [10], [9], [10], [5, 8], [10], [10], [9], [5, 9]]
[[10], [9], [10], [5, 6], [10], [9], [9], [9], [10], [9], [8], [10], [8], [6, 6], [10], [4, 4, 5], [4, 9], [10]]
[[5, 6], [9], [10], [9], [10], [10], [], [9], [10], [9], [8], [10], [10], [6, 6], [4, 4, 4], [5, 8], [9], [10], [9]]
[[4, 4, 4], [8], [10], [9], [10], [10], [], [6], [10], [10], [10], [9], [9], [8], [9], [6, 6], [9], [10], [5, 5], [9]]
[[10], [10], [9], [9], [4, 4, 4], [], [10], [10], [], [9], [10], [9], [9], [6], [5, 5], [10], [10], [6, 6], [8], [8], [9]]
[[5, 5], [4, 4, 4], [], [], [10], [10], [10], [10], [9], [10], [9], [], [6], [10], [10], [8], [9], [9], [9], [9], [8], [6, 6]]
[[5, 5], [6], [], [], [4], [4, 4], [9], [9], [6], [10], [10], [6], [9], [8], [9], [9], [9], [10], [10], [10], [10], [8], [10]]
-EndAllocation

Instance: [[1], [179], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 10, 10, 10, 10, 10], [6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[5, 5, 5, 5, 6, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 8, 8], [6, 8]]
[[8, 8, 8, 8, 8, 8], [9, 9], [7, 7, 7, 10, 10], [8, 8, 10], [5, 5, 5, 5, 6, 10, 10]]
[[10, 10, 10, 10], [], [5, 5, 5, 5, 9, 10], [8, 8, 8, 8, 8], [8, 8, 8, 9], [6, 7, 7, 7]]
[[10, 10, 10], [5, 5, 5, 5, 9], [9], [6, 10, 10], [7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[7, 7, 7, 9], [8, 8, 8], [8, 8, 9], [5, 5, 5, 5, 10], [6, 10], [10, 10, 10], [], [8, 8, 8]]
[[10, 10], [8, 8, 8], [10, 10], [], [8, 8, 8], [5, 5, 10], [7, 7, 7], [6, 9, 9], [5, 5, 8, 8]]
[[6, 9, 9], [5, 5, 5, 5], [10, 10], [8, 8], [10], [8, 8, 8], [7, 7, 7], [10, 10], [], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [], [6, 10], [10, 10], [7, 7, 7], [5, 5, 5, 5], [10, 10], [9, 9]]
[[8, 8], [8, 9], [6, 9], [8, 8], [8, 8], [10], [10, 10], [], [10, 10], [7, 7], [5, 5, 5, 5], [7, 8]]
[[8, 10], [8, 8], [8, 8], [8, 10], [7, 10], [], [5, 5, 5], [7, 7], [], [9, 9], [6, 10], [5, 10], [8, 8]]
[[6], [8, 8], [8, 8], [8, 8], [5, 5, 7], [9], [8, 8], [5, 10], [5, 10], [7, 7], [10], [10], [9], [10]]
[[5, 5, 5], [5], [8, 8], [10], [9], [7, 7], [10], [6, 10], [], [8, 8], [10], [8, 8], [7, 9], [10], [8, 8]]
[[5, 9], [5, 5, 5], [8, 8], [8, 8], [10], [], [10], [7], [7, 7], [], [10], [10], [6, 9], [10], [8, 8], [8, 8]]
[[10], [5, 9], [5, 7], [10], [8], [8], [8], [10], [9], [8], [5, 8], [7, 7], [6, 8], [10], [8], [5, 8], [10]]
[[10], [5, 8], [10], [5, 8], [10], [5, 8], [8], [8], [8], [6, 7], [8], [9], [9], [7], [10], [8], [10], [5, 7]]
[[10], [10], [10], [5, 8], [5, 8], [6, 7], [7], [10], [8], [7], [8], [8], [8], [9], [8], [9], [8], [5, 5], [10]]
[[10], [8], [8], [8], [8], [5, 7], [8], [10], [8], [8], [5, 5], [5, 6], [9], [7], [10], [10], [10], [8], [9], [7]]
[[8], [8], [5, 5], [5, 5], [7], [8], [8], [8], [8], [10], [10], [10], [6], [10], [8], [9], [7], [9], [7], [8], [10]]
[[8], [5, 7], [10], [8], [6], [8], [], [8], [8], [7], [9], [10], [10], [9], [8], [10], [10], [8], [], [5, 5], [5, 7], [8]]
[[7], [10], [8], [8], [8], [8], [5, 5], [5, 5], [8], [10], [], [7], [9], [], [7], [10], [9], [10], [8], [8], [6], [10], [8]]
-EndAllocation

Instance: [[1], [178], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 6, 6, 8, 9, 9, 9, 9], [4, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 6, 6, 8], [4, 6, 7, 8, 9, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10, 10, 10, 10]]
[[6, 10], [6, 7, 9, 9, 9, 9, 9], [4, 4, 4, 5, 5, 6, 8, 10], [8, 10, 10, 10, 10, 10]]
[[10, 10], [6, 6, 9, 10], [9, 9, 9, 9, 10], [5, 6, 10, 10, 10], [4, 4, 4, 5, 7, 8, 8]]
[[], [4, 5, 9, 9, 9], [4, 6, 6, 10, 10], [4, 8, 8, 9, 10], [9, 10, 10, 10], [5, 6, 7, 10]]
[[], [7, 10, 10], [10, 10, 10], [6, 9, 9, 10], [6, 9, 10], [4, 4, 4, 5, 5, 8], [6, 8, 9, 9]]
[[], [10], [7, 8, 9], [10, 10, 10], [6, 10, 10], [4, 4, 4, 9, 9], [6, 6, 9, 9], [5, 5, 8, 10]]
[[8], [6, 9, 10], [8], [4, 9, 10], [7, 9, 10], [4, 5, 5, 6, 6], [4, 9, 10], [9, 10], [10, 10]]
[[], [9, 10], [4, 4, 4, 9], [6, 6, 10], [7, 8, 8], [10, 10], [6, 10], [5, 9, 9], [10, 10], [5, 9]]
[[], [4, 4, 4], [9, 10], [9, 10], [10, 10], [5, 6, 10], [6, 9], [7, 8], [9, 10], [5, 6, 9], [8, 10]]
[[], [5, 10], [6, 9], [7, 10], [4, 4, 4, 6], [8, 10], [9, 10], [9, 10], [5, 10], [6, 9], [10], [8, 9]]
[[10], [8, 10], [6, 6], [8, 10], [5, 10], [9], [5, 10], [10], [7, 9], [6, 9], [4, 4, 4], [9, 9], [10]]
[[9], [5, 10], [6, 8], [4, 10], [7, 9], [5, 8], [4, 10], [6, 10], [4, 9], [10], [6, 9], [9], [10], [10]]
[[10], [7, 9], [6, 10], [8], [6, 9], [9], [5, 10], [9], [10], [4, 4, 4], [10], [5, 9], [8], [10], [6, 10]]
[[10], [6, 9], [10], [8], [10], [9], [4, 10], [9], [10], [9], [6, 8], [4, 9], [4, 5, 5], [10], [7], [6, 10]]
[[10], [7], [9], [10], [4, 9], [10], [6, 8], [5, 9], [4, 4, 5], [10], [6, 8], [6], [10], [10], [10], [9], [9]]
[[10], [5, 6], [10], [10], [9], [10], [10], [9], [4, 9], [6, 6], [9], [5], [8], [10], [4, 7], [4, 9], [10], [8]]
[[9], [6], [8], [10], [10], [10], [10], [9], [4, 9], [10], [4, 4, 5], [9], [10], [6], [8], [10], [5], [9], [6, 7]]
[[10], [10], [7], [9], [9], [4, 6], [5, 6], [5], [10], [10], [10], [9], [8], [10], [10], [6], [9], [9], [4, 8], [4]]
[[10], [9], [10], [7], [4, 4], [10], [10], [8], [9], [9], [9], [8], [10], [4], [5, 6], [10], [5], [9], [6], [6], [10]]
[[9], [4, 4, 4], [], [9], [6], [10], [10], [10], [8], [10], [9], [8], [5], [9], [5, 7], [6], [10], [], [10], [6], [9], [10]]
[[], [10], [4], [9], [6], [4, 6], [4, 6], [], [10], [8], [5], [7], [10], [9], [5], [9], [10], [10], [10], [10], [9], [9], [8]]
-EndAllocation

Instance: [[1], [177], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 6, 6, 6, 6, 6, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,23. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9], [2, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10, 10, 10], [7, 9, 9, 9, 9, 9, 9], [2, 6, 6, 6, 6, 8, 8, 8]]
[[6, 6, 6, 6, 7, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [2, 6]]
[[6, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10], [7, 8, 8, 8, 9], [10, 10, 10, 10], [2, 9]]
[[6, 10, 10, 10], [7, 8, 9, 9], [2, 6, 6, 6, 6, 10], [9, 9, 9, 9], [8, 8, 10, 10], []]
[[6, 6, 6, 6, 7], [10, 10, 10], [2, 10, 10, 10], [9, 9, 9], [8, 8, 8], [6], [9, 9, 9]]
[[2, 7, 8, 8], [9, 9, 9], [8], [10, 10, 10], [6], [9, 9, 9], [6, 6, 6, 6], [10, 10, 10]]
[[2, 6, 7, 9], [10, 10], [9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10]]
[[6, 7, 10], [9, 9], [10, 10], [6, 6, 6, 6], [], [10], [8, 8, 8], [9, 9], [2, 10, 10], [9, 9]]
[[2, 6, 6, 6], [9, 9], [6, 8, 8], [10, 10], [9, 9], [10, 10], [9, 9], [10, 10], [6], [], [7, 8]]
[[6, 6, 7], [10, 10], [2, 8, 8], [], [], [9, 9], [9, 9], [10, 10], [10, 10], [6, 6, 6], [9, 9], [8]]
[[6, 7], [8, 10], [6, 6, 6], [10], [], [6, 10], [8, 8], [9, 9], [10], [9, 9], [10], [9, 9], [2, 10]]
[[6, 10], [2, 10], [9], [10], [7, 9], [6, 9], [10], [8, 8], [10], [6, 8], [10], [9], [6, 9], [6, 9]]
[[6, 9], [2, 9], [9], [9], [8], [9], [8, 8], [6, 10], [7, 9], [6, 6], [6, 10], [10], [10], [10], [10]]
[[6, 9], [2, 7], [6, 6], [6, 10], [9], [9], [9], [10], [6, 10], [9], [10], [8], [9], [10], [10], [8, 8]]
[[6, 7], [2, 10], [10], [10], [9], [9], [9], [10], [8], [6, 6], [9], [10], [9], [10], [6, 8], [9], [6, 8]]
[[6, 6], [2, 10], [9], [9], [10], [9], [8], [9], [8], [10], [10], [8], [10], [6, 7], [9], [6, 6], [9], [10]]
[[6, 6], [2, 8], [10], [10], [10], [6, 7], [8], [9], [9], [9], [], [9], [8], [9], [6, 6], [9], [10], [10], [10]]
[[2, 6], [9], [10], [9], [9], [9], [6], [6], [10], [10], [6, 6], [7], [9], [9], [8], [10], [10], [8], [10], [8]]
[[2, 7], [10], [9], [8], [6, 6], [10], [8], [], [], [10], [6], [9], [8], [9], [9], [9], [10], [10], [10], [6, 6], [9]]
[[6, 6], [6], [8], [8], [10], [10], [], [], [9], [9], [8], [], [10], [10], [2, 10], [9], [7], [9], [9], [10], [9], [6, 6]]
[[10], [10], [2, 6], [], [6], [9], [9], [9], [8], [10], [], [6], [6], [7], [9], [9], [9], [10], [8], [10], [10], [8], [6]]
-EndAllocation

Instance: [[1], [192], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [1, 6, 6, 6, 6, 7, 8, 9, 9, 10, 10, 10]]
[[8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 8, 9, 9, 10], [1, 8, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 10, 10, 10, 10], [1, 6, 10], [6, 8, 8, 8, 8, 8, 8, 10], [7, 7, 7, 9, 9, 10, 10]]
[[10, 10], [1, 7, 8, 10], [6, 6, 6, 6, 7, 9, 9], [7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 10]]
[[], [10, 10, 10, 10], [1, 7, 10, 10, 10], [7, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9], [7, 8, 8, 10]]
[[], [10, 10], [6, 7, 7, 7, 8], [6, 10, 10, 10], [8, 8, 10, 10], [6, 9, 9, 10], [1, 6, 8, 8, 8]]
[[10, 10], [8, 8, 10], [9, 9, 10], [7, 10, 10], [1, 7, 10], [7, 8, 10], [6, 6, 6, 6], [8, 8, 8]]
[[10], [9, 10, 10], [6, 8, 10], [8, 8, 10], [7, 7, 7], [1, 9, 10], [8, 8, 8], [10], [6, 6, 6, 10]]
[[], [7, 7, 8], [6, 10], [10], [1, 9, 10], [8, 8, 10], [10, 10], [8, 8, 10], [6, 6, 6, 8], [7, 9, 10]]
[[], [10, 10], [9, 10], [6, 6, 6], [10, 10], [6, 10], [7, 7, 8], [9, 10], [8, 8], [1, 8, 10], [7, 8, 8]]
[[], [6, 7, 7], [8, 10], [10, 10], [7, 8], [1, 6, 10], [6, 6], [8, 9], [8, 10], [8, 10], [9, 10], [8, 10]]
[[], [1, 6, 9], [6, 7], [6, 6, 7], [10, 10], [8, 9], [10, 10], [10], [8, 8], [8, 10], [8, 10], [7], [8, 10]]
[[10], [1, 8], [8, 9], [7, 8], [7, 10], [10], [8, 10], [7, 10], [8, 10], [6, 6], [10], [6, 8], [6, 10], [9]]
[[10], [10], [1, 10], [6, 8], [10], [7, 7], [6, 8], [8, 8], [7, 8], [10], [10], [8, 9], [10], [6, 9], [6, 10]]
[[10], [6, 9], [8, 8], [10], [7], [10], [10], [8], [10], [6, 10], [6, 10], [10], [7, 8], [7, 8], [1, 6, 9], [8]]
[[10], [9], [7, 9], [10], [6, 10], [10], [8, 8], [8], [6, 7], [10], [6, 7], [10], [10], [6, 10], [8], [1, 8], [8]]
[[8], [1, 8], [6, 7], [10], [10], [6, 8], [10], [7, 7], [10], [8], [10], [6, 8], [6, 8], [10], [9], [10], [10], [9]]
[[9], [6, 8], [10], [9], [10], [10], [10], [10], [7], [10], [6, 8], [7], [10], [6, 7], [8], [6, 8], [1, 8], [8], [10]]
[[8], [6, 7], [6, 7], [10], [9], [8], [10], [10], [8], [10], [9], [6], [10], [8], [8], [8], [6, 7], [10], [10], [1, 10]]
[[10], [6, 6], [8], [8], [1, 10], [7], [9], [10], [10], [10], [8], [9], [8], [8], [7], [10], [10], [6], [6, 7], [10], [8]]
[[10], [7], [9], [7], [10], [10], [7], [10], [10], [6], [6, 6], [1, 6], [10], [10], [8], [8], [9], [8], [8], [8], [10], [8]]
[[8], [8], [10], [9], [10], [10], [10], [9], [6], [10], [6], [7], [8], [8], [8], [8], [1, 6], [7], [7], [6], [10], [10], [10]]
[[10], [7], [10], [10], [7], [9], [10], [8], [9], [10], [6], [10], [7], [6], [1, 8], [8], [6], [], [6], [8], [8], [8], [10], [10]]
-EndAllocation

Instance: [[1], [191], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 10], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10], [8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 10, 10]]
[[8], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9]]
[[], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 9, 9, 10, 10], [10, 10, 10, 10, 10]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 10, 10], [8, 10, 10, 10], [5, 10, 10, 10], [9, 9, 10, 10]]
[[10], [10, 10, 10], [5, 5, 8, 10], [9, 9, 10], [5, 5, 5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10]]
[[], [5, 5, 5, 5, 5, 5], [10, 10, 10], [9, 9, 10], [5, 5, 5], [10, 10, 10], [10, 10, 10], [8, 10, 10]]
[[], [9, 9, 10], [10, 10], [10, 10], [5, 5, 5, 10], [5, 10, 10], [5, 5, 5, 5, 5], [10, 10], [8, 10, 10]]
[[], [10, 10], [5, 10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [9, 9], [5, 5, 5, 8]]
[[], [10, 10], [10, 10], [5, 5, 5, 5], [5, 8], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [9, 9], [10, 10]]
[[], [5, 5, 5, 5], [10, 10], [5, 10], [10, 10], [8, 10], [10, 10], [], [10, 10], [5, 5, 5, 5], [9, 9], [10, 10]]
[[], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5], [], [10, 10], [5, 5, 5, 5], [], [5, 5, 8], [10, 10]]
[[10], [5, 10], [10], [5, 10], [5, 5, 5], [9, 9], [10], [10], [8, 10], [5, 10], [5, 10], [10], [5, 10], [5, 10]]
[[10], [10], [8, 9], [9], [5, 10], [10], [5, 10], [10], [5, 10], [5, 5, 5], [5, 10], [10], [5, 10], [10], [5, 10]]
[[10], [10], [5, 10], [10], [5, 10], [10], [9], [10], [10], [8], [5, 5, 5], [5, 9], [5, 10], [5, 10], [10], [5, 10]]
[[10], [5, 9], [5, 10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [5, 5, 5], [9], [5, 8], [10], [5, 5, 5]]
[[10], [10], [10], [5, 5], [5, 9], [5, 5], [10], [5, 9], [10], [10], [5, 5], [10], [10], [10], [10], [10], [5, 8], [10]]
[[10], [9], [10], [10], [10], [5, 5], [10], [10], [10], [5, 5], [5, 5], [5, 5], [10], [10], [10], [5, 8], [9], [10], [10]]
[[10], [10], [10], [10], [10], [5, 5], [10], [5, 5], [10], [10], [], [9], [10], [10], [10], [9], [5, 8], [5, 5], [10], [5, 5]]
[[10], [10], [5, 5], [5, 5], [10], [10], [10], [5, 5], [10], [10], [], [10], [10], [10], [9], [9], [10], [5, 5], [10], [5, 8], []]
[[9], [5, 5], [8], [5, 5], [10], [10], [], [5], [10], [5, 5], [10], [10], [10], [10], [10], [5, 5], [10], [10], [10], [], [10], [9]]
[[], [10], [10], [10], [10], [], [10], [10], [], [10], [10], [9], [10], [5], [5, 5], [9], [10], [5, 5], [10], [5, 5], [5, 5], [8], [10]]
[[], [8], [10], [10], [5, 5], [10], [5, 5], [10], [], [], [5], [10], [5, 5], [9], [10], [10], [5, 5], [], [10], [10], [10], [10], [9], [10]]
-EndAllocation

Instance: [[1], [190], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[9, 9, 9, 10, 10, 10, 10, 10], [5, 5, 6, 6, 7, 7, 9], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 6, 6], [4, 7, 7, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 9, 9, 9, 9], [8, 8], [4, 6, 6, 7, 7]]
[[8, 8, 8, 8, 8], [6, 6, 8, 8, 8], [7, 7], [10, 10, 10, 10], [9, 9, 9, 9], [4, 5, 5, 10]]
[[8, 8, 8, 8], [4, 8, 8, 8, 8], [6, 6, 10, 10], [10, 10, 10], [], [5, 5, 7, 7], [9, 9, 9, 9]]
[[4, 6, 6, 7, 7], [5, 5, 10, 10], [9, 9, 9], [10, 10, 10], [], [9], [8, 8, 8, 8], [8, 8, 8, 8]]
[[5, 5, 8, 8], [], [9, 10, 10], [10, 10], [9, 9, 9], [4, 7, 7], [8, 8, 8], [6, 6, 10], [8, 8, 8]]
[[8, 8], [8, 8, 8], [4, 10, 10], [9, 9], [9, 10], [5, 5, 7, 7], [], [10, 10], [6, 6, 9], [8, 8, 8]]
[[6, 6, 10], [8, 8, 8], [4, 8, 8], [9, 9], [10, 10], [7, 7], [], [9, 9], [5, 5], [10, 10], [8, 8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [5, 5], [10, 10], [7, 7], [9, 9], [10, 10], [6, 6], [8, 8], [9, 9], [10]]
[[4, 5, 5], [10], [8, 8], [8, 8], [9, 9], [10, 10], [], [7, 7], [6, 6], [8, 8], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8, 8], [4, 10], [8, 8], [10], [9, 9], [8, 8], [9, 9], [10], [7, 7], [10], [6, 10], [5, 5], [6]]
[[8, 8], [8, 8], [7, 9], [4, 9], [10], [6, 6], [], [9], [7, 10], [8, 8], [9], [5, 10], [10], [5, 10], [8, 8]]
[[4, 5, 5], [10], [8, 8], [8, 8], [6, 10], [8, 8], [9], [], [7, 7], [9], [10], [9], [9], [10], [6, 10], [8, 8]]
[[4, 5, 5], [8, 8], [8, 8], [8, 8], [9], [10], [], [7, 7], [], [6, 10], [9], [10], [10], [10], [9], [6, 9], [8, 8]]
[[8], [4, 9], [9], [5, 9], [7, 7], [10], [5, 8], [6, 8], [8], [8], [6, 8], [10], [8], [8], [10], [9], [10], [10]]
[[8], [10], [5, 8], [5, 8], [4, 8], [8], [6, 7], [10], [9], [9], [6, 7], [8], [8], [10], [9], [8], [9], [10], [10]]
[[4, 8], [8], [9], [9], [10], [6, 6], [10], [10], [5, 8], [8], [8], [8], [9], [8], [7], [10], [9], [10], [5, 8], [7]]
[[10], [4, 7], [6, 6], [9], [10], [8], [9], [8], [10], [8], [9], [8], [5, 5], [10], [8], [10], [7], [8], [8], [8], [9]]
[[4, 8], [6, 6], [7], [8], [5], [5], [8], [8], [10], [8], [9], [10], [10], [9], [8], [10], [9], [8], [9], [8], [7], [10]]
[[4, 8], [10], [8], [6, 6], [8], [8], [8], [8], [8], [10], [10], [10], [5], [], [10], [9], [9], [7], [9], [7], [8], [9], [5]]
[[8], [8], [8], [4, 5], [5], [8], [8], [8], [8], [10], [10], [10], [9], [7], [], [10], [7], [6], [8], [9], [6], [9], [10], [9]]
-EndAllocation

Instance: [[1], [189], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 8, 8, 8, 8, 10, 10, 10], [4, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 10, 10, 10]]
[[10, 10, 10], [8, 8, 8, 8, 9, 9, 9, 9, 10], [4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10]]
[[8], [4, 6, 6, 6, 6, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10], [5, 8, 8, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 10, 10], [4, 9, 9, 9, 9, 10], [5, 8, 8, 8, 8, 10], [7, 7, 7, 7, 10, 10]]
[[], [4, 8, 10, 10, 10], [6, 6, 6, 6, 7, 7], [9, 9, 9, 9], [5, 7, 10, 10, 10], [7, 8, 8, 8]]
[[], [4, 5, 6, 6, 6, 6], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9]]
[[], [9, 10, 10], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 8], [10], [4, 8, 8, 8], [5, 9, 9, 9]]
[[], [4], [6, 6, 6, 9], [6, 10, 10], [7, 7, 7, 7], [5, 8, 8], [9, 9, 9], [8, 10, 10], [8, 10, 10]]
[[], [4, 5, 10], [9, 9], [7, 7, 7], [6, 6, 6, 6], [9, 9], [8, 8, 8], [7, 8, 10], [10, 10], [10, 10]]
[[], [4, 8], [9, 9], [6, 6, 6, 6], [10, 10], [7, 7, 7], [8, 8, 8], [10, 10], [7, 10], [5, 10], [9, 9]]
[[], [8, 8], [4, 6, 6], [10, 10], [10], [5, 10], [10, 10], [7, 7, 7], [9, 9], [7, 8], [9, 9], [6, 6, 8]]
[[], [10, 10], [], [9, 9], [7, 7], [10, 10], [9, 10], [7, 9], [8, 8], [6, 6, 6], [7, 10], [8, 8], [4, 5, 6]]
[[10], [9, 9], [6, 6, 6], [10], [8, 8], [4, 10], [], [9, 9], [7, 10], [7, 7], [6, 10], [8, 8], [5, 7], [10]]
[[9], [6, 9], [7, 7], [8, 8], [10], [9], [10], [4, 10], [10], [8, 8], [5, 10], [6, 6], [6, 9], [10], [7, 7]]
[[10], [6, 6], [9], [7, 7], [8, 8], [5, 6], [10], [8, 8], [4, 10], [6, 10], [7, 7], [10], [9], [10], [9], [9]]
[[], [9], [7, 7], [6, 6], [10], [7, 7], [9], [10], [9], [8, 8], [9], [5, 10], [4, 10], [10], [10], [6, 6], [8, 8]]
[[9], [6, 6], [10], [10], [6, 7], [7], [8], [9], [6, 8], [8], [10], [10], [10], [7, 7], [4, 10], [8], [5, 9], [9]]
[[10], [5, 7], [8], [10], [7], [8], [10], [6, 6], [10], [8], [6, 7], [6, 7], [9], [9], [9], [10], [8], [10], [4, 9]]
[[10], [9], [9], [8], [10], [10], [10], [7], [7], [7], [6, 7], [10], [9], [8], [6, 6], [4, 6], [8], [10], [9], [5, 8]]
[[9], [9], [8], [7], [10], [6, 6], [10], [8], [4, 7], [], [7], [9], [10], [10], [6, 6], [9], [10], [5, 7], [8], [8], [10]]
[[10], [9], [10], [6, 6], [7], [10], [10], [9], [], [4, 8], [9], [6, 6], [10], [8], [7], [9], [8], [10], [8], [5, 7], [7], []]
[[7], [9], [6, 6], [8], [7], [10], [], [10], [8], [7], [9], [10], [10], [8], [5, 6], [6], [9], [9], [10], [7], [], [10], [4, 8]]
[[8], [8], [7], [8], [7], [10], [10], [6], [9], [10], [8], [9], [6], [9], [10], [5], [9], [7], [6], [6], [4], [10], [10], [7]]
-EndAllocation

Instance: [[1], [188], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12, 12, 12, 10], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 8, 8, 8, 8, 10, 10, 10], [3, 4, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10]]
[[10, 10, 10], [3, 8, 8, 8, 8, 9, 9, 9, 9, 9], [4, 5, 6, 6, 6, 7, 7, 7, 10, 10, 10]]
[[8], [4, 6, 6, 6, 7, 7, 7, 8, 8], [10, 10, 10, 10, 10, 10], [3, 5, 8, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 10, 10, 10], [4, 9, 9, 9, 9, 9], [3, 5, 8, 8, 8, 8, 10], [7, 7, 7, 10, 10]]
[[], [4, 8, 10, 10, 10], [6, 6, 6, 7, 7], [3, 9, 9, 9, 9], [5, 7, 10, 10, 10], [8, 8, 8, 9]]
[[], [4, 5, 6, 6, 6, 7], [7, 7, 10, 10], [10, 10, 10], [3, 8, 8, 8, 8], [9, 10], [9, 9, 9, 9]]
[[], [9, 9, 10], [7, 7, 7], [10, 10, 10], [6, 6, 6, 9], [8, 10, 10], [4, 8, 8, 8], [3, 5, 9, 9]]
[[], [3, 4], [6, 9, 9], [6, 10, 10], [6, 7, 7, 7], [5, 8, 8], [9, 9, 9], [8, 10, 10], [8, 10, 10]]
[[10], [4, 5, 9], [9, 9], [7, 7, 7], [6, 6, 6], [3, 9, 9], [8, 8, 8], [8, 10], [10, 10], [10, 10]]
[[], [8], [9, 9], [4, 6, 6, 6], [10, 10], [7, 7, 9], [8, 8, 8], [10, 10], [7, 10], [3, 5, 10], [9, 9]]
[[], [8, 8], [4, 10], [3, 9], [10, 10], [5, 10], [10, 10], [7, 7, 7], [9, 9], [8, 8], [9, 9], [6, 6, 6]]
[[], [10, 10], [], [9, 9], [7], [10, 10], [9, 9], [7, 9], [8, 8], [6, 6, 7], [10, 10], [8, 8], [3, 4, 5, 6]]
[[10], [3, 9], [6, 6], [10], [8, 8], [4, 10], [10], [9, 9], [9, 9], [7, 7], [6, 10], [8, 8], [5, 7], [10]]
[[9], [9], [7, 10], [8, 8], [10], [9], [6, 10], [4, 10], [10], [8, 8], [5, 9], [6, 6], [9], [3, 10], [7, 7]]
[[10], [6, 6], [9], [7, 7], [8, 8], [5, 10], [10], [8, 8], [4, 10], [6, 10], [7], [10], [9], [9], [9], [3, 9]]
[[], [9], [7], [6, 10], [10], [7, 7], [9], [3, 10], [9], [8, 8], [9], [5, 9], [4, 10], [10], [10], [6, 6], [8, 8]]
[[9], [6, 8], [10], [10], [6, 7], [3, 9], [8], [9], [6], [8], [10], [10], [10], [7, 7], [4, 10], [8], [5, 9], [9]]
[[10], [5, 7], [8], [10], [3, 10], [8], [10], [6, 6], [10], [8], [7], [6, 7], [9], [9], [9], [10], [8], [9], [4, 9]]
[[10], [9], [9], [3, 9], [10], [10], [10], [7], [7], [7], [8], [10], [9], [8], [6, 6], [4, 6], [8], [10], [9], [5, 8]]
[[9], [9], [8], [7], [10], [6, 6], [10], [8], [4], [9], [7], [3, 9], [10], [10], [6], [9], [10], [5, 7], [8], [8], [10]]
[[10], [9], [10], [6, 6], [], [10], [10], [9], [], [4, 8], [9], [6], [10], [8], [7], [9], [8], [10], [8], [5, 7], [7], [3, 9]]
[[7], [9], [6, 6], [8], [10], [3, 9], [], [10], [8], [7], [9], [10], [10], [8], [5, 6], [9], [9], [], [10], [7], [], [10], [4, 8]]
[[8], [8], [7], [8], [7], [10], [10], [6], [9], [10], [8], [9], [9], [9], [10], [5], [9], [7], [6], [6], [4], [10], [3], [10]]
-EndAllocation

Instance: [[1], [187], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[5, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10], [9, 9, 9, 9, 10, 10], [7, 7]]
[[5, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8], [8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9]]
[[7, 8, 8, 8, 8], [5, 6, 8, 8, 8], [6, 6, 6, 6, 6, 7], [9, 9, 9, 9], [10, 10, 10, 10], []]
[[5, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [], [10, 10, 10], [6, 6, 6, 6, 6, 6], [7, 7, 10]]
[[5, 8, 8, 8], [6], [10], [7, 7, 8, 9], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8]]
[[5, 7, 7, 8], [10, 10], [10, 10], [], [6, 6, 9], [6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [8, 8, 8]]
[[6, 8, 8], [6, 8, 8], [5, 10, 10], [6], [6], [6, 9, 9], [6, 9, 9], [10, 10], [7, 7, 8], [8, 8]]
[[5, 8, 8], [6, 6, 6], [6, 6, 6], [8, 8], [9, 9], [7, 7], [9, 9], [8], [10, 10], [10, 10], [8, 8]]
[[5, 8], [8, 8], [8, 8], [8, 8], [6, 6, 6], [7, 7], [6, 6, 6], [10, 10], [10, 10], [9, 9], [], [9, 9]]
[[5, 7, 7], [8, 8], [8], [8, 8], [10, 10], [], [9, 9], [], [9, 9], [10, 10], [6, 6, 6], [6, 6, 6], [8, 8]]
[[5, 6, 6], [6, 8], [8, 8], [8, 8], [6, 8], [10], [9, 9], [], [6, 6], [7, 10], [10], [9, 9], [10], [7, 8]]
[[5, 6, 6], [6, 10], [8, 9], [8, 9], [6, 10], [8], [7, 7], [10], [8], [10], [8], [6, 6], [9], [8, 9], [8]]
[[5, 6], [6, 6], [8, 8], [10], [10], [9], [10], [7, 7], [6, 6], [8, 8], [10], [9], [9], [9], [8, 8], [6, 8]]
[[6, 8], [6, 8], [10], [9], [10], [6, 8], [8], [7, 7], [10], [6, 8], [9], [10], [9], [8], [6, 8], [9], [5, 6]]
[[6, 6], [5, 6], [6, 8], [9], [6, 8], [10], [8], [10], [10], [9], [7, 7], [9], [8], [10], [8], [9], [8], [6, 8]]
[[8], [5, 8], [8], [9], [8], [6, 6], [9], [8], [8], [10], [9], [6, 7], [10], [6, 6], [6, 7], [10], [9], [10], [8]]
[[10], [5, 7], [9], [10], [8], [6, 6], [8], [8], [8], [6, 6], [8], [10], [9], [10], [6, 6], [8], [8], [9], [9], [7]]
[[8], [8], [6, 6], [6, 6], [9], [], [8], [8], [9], [9], [8], [10], [6, 6], [10], [10], [10], [9], [7], [8], [5, 7], [8]]
[[8], [8], [6, 6], [5, 6], [6], [8], [8], [8], [], [10], [10], [9], [10], [9], [6, 6], [9], [10], [7], [9], [7], [8], [8]]
[[8], [8], [5, 7], [8], [8], [6, 6], [6, 6], [], [], [10], [], [8], [6, 6], [10], [9], [8], [9], [10], [7], [10], [9], [9], [8]]
[[8], [8], [5], [8], [9], [9], [6], [6], [6], [10], [10], [10], [7], [10], [6], [6], [6], [9], [8], [9], [8], [8], [8], [7]]
-EndAllocation

Instance: [[1], [186], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [5, 6, 8, 8, 9, 9, 10, 10]]
[[5, 6, 9, 9, 10, 10], [6, 7, 7, 7, 7, 7, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 6, 8, 8, 10, 10], [7, 7, 7, 7, 7, 10, 10], [6, 9, 9], [10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [5, 9, 9], [6, 8, 8, 10]]
[[6, 6], [8, 8, 10, 10], [10, 10, 10, 10], [9, 9], [10, 10, 10, 10], [5, 7, 7, 7, 7, 7]]
[[6, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [5, 10, 10], [9, 9], [6, 8, 8]]
[[6, 7, 9, 9], [10, 10, 10], [7], [], [5, 8, 8, 10], [10, 10, 10], [10, 10, 10], [6, 7, 7, 7]]
[[7, 8, 8], [6, 10, 10], [10, 10], [10, 10], [7, 7, 7, 7], [10, 10], [9, 9], [5], [6, 10, 10]]
[[5, 6, 10], [7, 7, 7], [7, 8, 8], [10, 10], [7], [10, 10], [10, 10], [9, 9], [10, 10], [6, 10]]
[[5, 8, 9], [6, 8], [], [10, 10], [6, 7, 7], [9], [10, 10], [10, 10], [10, 10], [10, 10], [7, 7, 7]]
[[8, 9], [5, 6, 8], [10, 10], [10, 10], [10, 10], [], [10, 10], [10, 10], [6, 7, 7], [9], [], [7, 7, 7]]
[[6, 8], [8], [10, 10], [7], [10, 10], [9, 9], [10, 10], [7, 7], [10, 10], [10, 10], [5], [], [6, 7, 7]]
[[6, 10], [7, 7], [7, 10], [6, 10], [10], [9, 9], [], [5], [8, 10], [7, 10], [10], [10], [8, 10], [7, 10]]
[[6, 7], [6, 10], [10], [7, 7], [7, 10], [10], [10], [9], [9], [5, 10], [10], [10], [8, 8], [10], [7, 10]]
[[8, 8], [7, 7], [10], [10], [10], [10], [7, 9], [10], [10], [10], [10], [10], [7], [6, 10], [7, 9], [5, 6]]
[[10], [10], [7, 7], [10], [10], [10], [7, 7], [10], [10], [9], [10], [5, 8], [10], [6, 7], [9], [6, 8], [10]]
[[10], [7, 7], [10], [10], [10], [10], [10], [5, 6], [8], [9], [7], [10], [10], [9], [10], [10], [7, 7], [6, 8]]
[[5, 7], [7], [10], [10], [9], [10], [10], [9], [10], [8], [10], [10], [7], [10], [10], [10], [6, 7], [8], [6, 7]]
[[5, 8], [7], [7], [], [6, 7], [9], [10], [10], [10], [10], [10], [10], [9], [8], [7], [6, 7], [10], [10], [10], [10]]
[[7], [10], [9], [8], [5, 7], [7], [10], [10], [6], [10], [6], [10], [10], [10], [9], [7], [10], [8], [10], [10], [7]]
[[7], [7], [7], [5, 6], [10], [10], [10], [9], [10], [10], [6], [], [10], [9], [10], [8], [8], [10], [10], [7], [10], [7]]
[[7], [7], [7], [5, 7], [8], [6], [10], [9], [10], [6], [7], [], [10], [], [10], [10], [10], [10], [9], [10], [10], [10], [8]]
[[7], [7], [6], [10], [6], [10], [10], [10], [10], [9], [10], [], [], [10], [10], [10], [8], [5], [8], [10], [9], [7], [7], [7]]
-EndAllocation

Instance: [[1], [185], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10]; Results for m' = 2,...,24. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 7, 10, 10, 10], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9]]
[[6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 9, 9, 9, 9]]
[[6, 6, 6, 6, 8, 9], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 10, 10], [5, 5, 7, 7, 7]]
[[8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7], [9, 9], [5, 5, 8, 8, 8, 8], [9, 9, 10, 10, 10]]
[[5, 5, 8, 8, 8], [7, 7, 7, 8, 8], [6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8], [10, 10, 10]]
[[7, 8, 8], [7, 8, 8, 8], [], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 7], [5, 5, 8, 8, 8]]
[[7, 8, 8, 8], [7, 7, 9], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6], [], [8, 8, 8, 8], [5, 5, 8]]
[[8, 8, 9], [8, 8, 8], [6, 6, 10], [7], [8, 8, 8], [10, 10], [9, 9, 9], [6, 6, 7, 7], [5, 5]]
[[8, 8, 8], [5, 5, 9], [10, 10], [8, 8, 8], [], [9, 9], [7, 7, 7], [6, 6, 6, 6], [9, 10], [8, 8]]
[[5, 5, 10], [6, 9], [8, 8], [8, 8], [8, 8], [7, 7], [9, 10], [6, 6, 6], [9, 9], [7, 10], [8, 8]]
[[5, 5, 8], [8, 8], [8, 8], [8, 8], [6, 10], [6, 6, 6], [9, 9], [8], [9, 9], [7, 7, 7], [10, 10], []]
[[5, 5, 10], [8, 8], [7, 8], [8], [6, 6, 6], [], [9, 9], [], [10, 10], [8, 8], [9, 9], [6, 7, 7], [8, 8]]
[[7, 8], [8, 8], [8], [8, 8], [10], [9, 9], [9, 9], [], [6, 6, 6], [7, 7], [8, 8], [10], [10], [5, 5, 6]]
[[8, 8], [8, 8], [8, 8], [7, 10], [5, 9], [5, 9], [7, 7], [6, 6], [6, 6], [], [10], [8, 8], [9], [9], [10]]
[[7, 9], [6, 10], [8, 8], [9], [5, 10], [5], [9], [8], [6, 8], [8], [8], [10], [6, 6], [7, 7], [8, 8], [9]]
[[6, 7], [5, 9], [10], [5, 8], [6, 8], [8], [8], [8], [9], [8], [7, 7], [10], [6, 8], [9], [9], [6, 8], [10]]
[[6, 8], [10], [10], [5, 8], [5, 9], [6, 8], [6, 8], [9], [10], [], [7], [9], [9], [8], [8], [8], [7, 7], [6, 8]]
[[5, 8], [10], [8], [5, 7], [8], [10], [8], [8], [8], [8], [6, 7], [6, 6], [9], [10], [8], [9], [9], [9], [6, 7]]
[[8], [6, 7], [8], [10], [8], [8], [8], [10], [10], [6, 7], [7], [9], [8], [9], [9], [8], [8], [5, 5], [9], [6, 6]]
[[5, 7], [8], [8], [8], [8], [], [6, 6], [6, 6], [8], [8], [9], [8], [7], [9], [9], [10], [9], [10], [5, 7], [8], [10]]
[[5, 7], [9], [8], [7], [9], [8], [7], [8], [10], [8], [6], [6], [10], [6, 6], [8], [8], [9], [8], [9], [10], [5], [8]]
[[10], [10], [8], [8], [8], [8], [7], [8], [9], [9], [6, 6], [9], [6, 6], [5, 5], [7], [10], [7], [], [], [8], [8], [9], [8]]
[[9], [7], [8], [8], [8], [5, 5], [6], [8], [8], [10], [10], [10], [7], [8], [6], [], [6], [9], [6], [7], [9], [8], [9], [8]]
-EndAllocation

Instance: [[1], [200], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [2, 6, 6, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [6, 6, 7, 7, 10, 10, 10, 10, 10, 10], [2, 5, 5, 9, 9]]
[[5, 5, 9, 9, 10, 10], [6, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [2, 10, 10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8], [2, 5, 8, 8, 10], [6, 6], [7, 7, 9, 9, 10, 10], [10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8], [2, 8, 8, 8], [6, 6, 7, 7, 9, 9], [10, 10, 10, 10], [5, 10, 10, 10, 10], []]
[[2, 8, 8, 8, 8], [7, 10, 10, 10], [5, 5, 10, 10], [8, 8, 8, 8], [], [7, 10, 10, 10], [6, 6, 9, 9]]
[[2, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7], [10, 10, 10], [5, 5], [6, 6, 9, 9], [8, 8, 8, 8]]
[[2, 6, 10, 10], [8, 8], [10, 10, 10], [5, 5], [8, 8, 8], [9, 9], [7, 7], [10, 10, 10], [6, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 10, 10], [10, 10], [10, 10], [6, 9, 9], [2], [10, 10], [5, 5, 7, 7], [8, 8]]
[[8, 8], [8, 8, 8], [2, 6, 6, 10], [9, 10], [10, 10], [10, 10], [], [5, 5, 9], [7, 7], [10, 10], [8, 8, 8]]
[[8, 8], [2, 5, 5, 10], [8, 8], [8, 8], [10, 10], [7, 7], [9, 9], [10, 10], [10], [8, 8], [10, 10], [6, 6]]
[[2, 5, 10], [8, 8], [8, 8], [8, 8], [10, 10], [], [8, 8], [5, 6, 6], [10, 10], [7, 7], [10, 10], [9, 9], [10]]
[[2, 8, 8], [8, 8], [7, 7], [8, 8], [8, 10], [8], [6, 6], [9, 9], [], [10, 10], [10, 10], [5, 5], [10, 10], [10]]
[[2, 8, 8], [8, 8], [8, 8], [5, 10], [10], [7, 7], [10], [6, 6], [10], [9, 9], [10], [8, 8], [10], [5, 10], [10]]
[[2, 9], [10], [8, 8], [5, 10], [8, 8], [6, 6], [10], [7, 10], [], [8, 8], [9], [5, 10], [10], [10], [7, 10], [8, 8]]
[[8, 8], [10], [10], [8, 8], [10], [6, 6], [7, 7], [10], [10], [8, 8], [10], [10], [9], [5, 5], [9], [2, 10], [8, 8]]
[[2, 10], [10], [10], [9], [8, 8], [10], [10], [8, 8], [10], [8, 8], [9], [5, 5], [10], [7, 7], [], [10], [6, 6], [8, 8]]
[[2, 10], [5, 8], [10], [6, 8], [6, 8], [10], [8], [9], [10], [10], [8], [10], [10], [8], [8], [10], [7, 7], [8], [5, 9]]
[[10], [5, 8], [10], [8], [8], [6, 7], [8], [10], [10], [6, 7], [9], [10], [8], [10], [8], [2, 8], [10], [9], [5, 8], [10]]
[[2, 7], [5, 8], [10], [10], [10], [8], [9], [10], [8], [8], [10], [10], [8], [10], [8], [10], [5, 8], [8], [9], [6, 6], [7]]
[[2, 8], [5, 5], [8], [10], [9], [8], [10], [8], [10], [6, 6], [8], [10], [10], [9], [10], [10], [7], [8], [8], [7], [8], [10]]
[[2, 7], [], [8], [8], [10], [7], [8], [8], [5, 5], [10], [10], [10], [10], [10], [6, 6], [8], [10], [10], [9], [8], [8], [9], [8]]
[[2, 10], [7], [8], [8], [8], [8], [8], [8], [10], [6, 6], [10], [10], [9], [7], [10], [8], [8], [5, 5], [10], [10], [9], [10], [], []]
[[7], [2, 8], [8], [10], [8], [5, 5], [8], [8], [8], [10], [], [6], [10], [9], [6], [8], [9], [8], [7], [10], [10], [10], [10], [10], []]
-EndAllocation

Instance: [[1], [199], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 10], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9, 9]]
[[5, 5, 5, 5, 8, 8, 9, 9, 9], [6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [6, 6, 8, 8, 8, 8], [10, 10], [9, 9, 9, 10, 10], [5, 5, 5, 5, 10, 10]]
[[8, 8, 8, 8, 10], [8, 8, 8, 8, 8], [8, 9, 9, 9, 10], [6, 6, 10, 10], [5, 5, 5, 5, 10, 10], []]
[[6, 6, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 8, 8], [], [10, 10, 10], [8, 9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [9], [10, 10, 10], [5, 5, 5, 5], [6, 6, 9, 9], [8, 8]]
[[6, 6, 8, 8], [8, 8, 8], [10, 10, 10], [5, 5, 5, 5], [8, 8, 8], [9, 9, 9], [], [10, 10, 10], [8, 8]]
[[8, 8], [8, 8, 9], [6, 6, 10], [10], [8, 8, 10], [9, 10], [5, 5, 5, 5], [9, 10], [8, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 8, 8], [10, 10], [10, 10], [8], [5, 5, 5, 9], [9, 9], [], [6, 10], [6, 8, 10]]
[[6, 8, 8], [6, 8, 8], [8, 8], [9, 9], [10, 10], [], [5, 5, 5, 5], [10, 10], [9], [8, 8], [10, 10], [8, 8]]
[[10, 10], [6, 6, 9], [8, 8], [8, 8], [], [8, 8], [8, 8], [5, 5, 5, 5], [10, 10], [], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [], [6, 6, 8], [8, 9], [], [10, 10], [], [5, 5, 5, 5], [10, 10], [9, 9], [8, 8], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [9], [9, 9], [6, 10], [5, 5, 5], [5, 10], [], [10], [8, 8], [10], [10], [8, 8]]
[[9], [8, 8], [8, 8], [8, 8], [5, 10], [10], [5, 5, 5], [10], [9], [8, 8], [10], [6, 10], [9], [6, 10], [], [8, 8]]
[[5, 8], [8, 8], [9], [8, 8], [10], [8], [10], [5, 5, 5], [10], [8, 8], [10], [6, 6], [9], [10], [9], [10], [8, 8]]
[[5, 6], [8, 8], [8, 8], [8, 8], [8, 8], [], [5, 5, 5], [9], [10], [8, 8], [10], [10], [10], [], [9], [6, 9], [10], [10]]
[[5, 8], [5, 9], [6, 8], [10], [8], [10], [10], [9], [5, 8], [10], [6, 8], [8], [8], [8], [9], [8], [10], [10], [5, 8]]
[[5, 8], [10], [10], [5, 8], [5, 8], [10], [8], [5, 8], [10], [8], [8], [9], [8], [6, 6], [8], [10], [8], [10], [9], [9]]
[[10], [8], [8], [9], [10], [8], [10], [9], [8], [9], [5, 8], [8], [5, 5], [10], [10], [10], [8], [8], [6, 6], [8], [5, 8]]
[[9], [8], [8], [8], [8], [5, 8], [10], [8], [10], [8], [9], [9], [10], [], [8], [10], [10], [6, 6], [10], [8], [5, 5], [5, 8]]
[[], [8], [10], [8], [8], [8], [8], [8], [8], [10], [10], [8], [10], [10], [6, 6], [5, 5], [9], [10], [5, 5], [8], [8], [9], [9]]
[[8], [8], [], [8], [8], [8], [8], [8], [10], [10], [10], [10], [9], [], [6, 6], [9], [5, 5], [5, 5], [10], [10], [9], [8], [8], [8]]
[[8], [8], [10], [8], [8], [8], [8], [8], [8], [6], [8], [5, 5], [10], [], [10], [10], [9], [8], [], [6], [10], [9], [10], [5, 5], [9]]
-EndAllocation

Instance: [[1], [198], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [5, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[5, 7, 9, 9, 9, 10], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10, 10, 10]]
[[8, 8], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9]]
[[8, 8, 8, 8, 8], [6, 6, 8, 8, 8], [5, 10], [6, 6, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 8, 8, 8, 8], [7, 7], [10, 10, 10], [10, 10], [6, 6, 6, 6, 7, 7], [9, 9, 9]]
[[6, 7, 7, 10], [8, 8, 8, 8], [9, 9, 9], [10], [5, 7, 7, 10], [10], [6, 6, 6, 10], [8, 8, 8, 8]]
[[7, 7, 7, 7], [5, 10], [10, 10], [10, 10], [8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [8, 8, 8]]
[[8, 8, 9], [7, 9, 9], [5, 10], [6, 6, 6, 6], [10, 10], [8, 8, 8], [7, 7, 7], [10, 10], [], [8, 8, 8]]
[[7, 8, 8], [8, 8, 8], [9, 9], [6, 6, 10], [], [5], [10, 10], [8, 8, 8], [7, 7, 7], [10, 10], [6, 6, 9]]
[[6, 8, 8], [6, 8, 8], [6, 8, 8], [], [10, 10], [7, 7, 7], [5, 6, 7], [10, 10], [], [9, 9], [9, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [9, 10], [7, 10], [5], [7, 7, 7], [6, 6, 6], [9, 9], [10, 10], [], [6, 10]]
[[8, 8], [7, 10], [7, 7], [8, 8], [8, 8], [7, 8], [6, 6, 8], [], [], [10, 10], [9], [9, 9], [10, 10], [5, 6, 6]]
[[], [8, 8], [8, 8], [10], [6, 6, 6], [9, 9], [10], [6, 9], [5, 10], [8, 8], [10], [7, 7], [10], [7, 7], [8, 8]]
[[8, 8], [8, 8], [], [8, 8], [6, 10], [6, 9], [6, 10], [6, 9], [5, 9], [10], [], [10], [7, 7], [10], [7, 7], [8, 8]]
[[5, 7], [8, 8], [8, 8], [10], [10], [10], [9], [8, 8], [10], [8], [6, 6], [10], [9], [6, 6], [7, 7], [9], [7, 8]]
[[8], [9], [6, 8], [10], [6, 8], [10], [5, 8], [6, 8], [9], [8], [6, 8], [10], [7, 7], [8], [10], [9], [7, 7], [10]]
[[7, 7], [7, 7], [6, 8], [9], [9], [6, 8], [8], [8], [8], [10], [8], [10], [10], [10], [8], [9], [10], [6, 6], [5, 8]]
[[8], [10], [6, 7], [6, 7], [8], [10], [6, 7], [10], [6, 7], [10], [8], [8], [9], [9], [8], [10], [8], [8], [9], [5, 8]]
[[5, 7], [6, 6], [10], [8], [8], [8], [8], [8], [9], [9], [9], [7], [10], [6, 7], [10], [10], [6, 7], [8], [10], [8], [8]]
[[8], [6, 6], [8], [5, 7], [8], [7], [10], [10], [8], [9], [10], [9], [7], [8], [7], [10], [9], [10], [8], [6, 6], [8], [8]]
[[8], [8], [8], [8], [8], [8], [9], [7], [7], [8], [7], [9], [10], [10], [9], [5], [10], [10], [10], [6, 6], [6, 6], [7], [8]]
[[8], [8], [7], [6, 6], [7], [10], [7], [9], [5], [10], [10], [9], [9], [6], [10], [10], [8], [7], [6], [8], [8], [8], [8], [8]]
[[5], [8], [6], [8], [8], [7], [7], [8], [7], [7], [8], [10], [10], [10], [8], [6], [10], [6], [8], [9], [8], [6], [10], [9], [9]]
-EndAllocation

Instance: [[1], [197], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 6, 7, 8, 9, 9, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 10, 10], [6, 8, 10, 10, 10, 10, 10, 10, 10], [3, 3, 3, 3, 3, 3, 9, 9, 10, 10, 10, 10, 10]]
[[9], [6, 8, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [3, 3, 3, 3, 3, 3, 7, 9, 10, 10, 10]]
[[10], [7, 10, 10, 10, 10], [3, 3, 3, 3, 3, 3, 10, 10, 10], [6, 9, 9, 10, 10], [8, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 9, 10, 10], [3, 3, 3, 3, 3, 3, 7, 10], [6, 8, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10], [6, 7, 10, 10], [9, 9, 10, 10], [10, 10, 10], [3, 3, 3, 3, 3, 3, 10, 10], [8, 10, 10, 10]]
[[], [10], [10, 10, 10], [6, 7, 10, 10], [10, 10, 10], [3, 3, 3, 3, 3, 9, 9], [10, 10, 10], [3, 8, 10, 10]]
[[10], [3, 3, 3, 3, 3, 3, 7], [9, 9, 10], [6, 10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [8, 10, 10]]
[[10], [3, 3, 3, 3, 3, 3], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [7, 8, 10], [6, 10, 10]]
[[], [10, 10], [8, 10], [3, 10, 10], [3, 3, 9, 9], [3, 3, 3], [10, 10], [10, 10], [10, 10], [6, 7, 10], [10, 10]]
[[], [3, 3, 3, 3, 3, 6], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [], [10, 10], [3, 8, 10], [7, 10], [10, 10]]
[[], [9, 9], [3, 3, 10], [10, 10], [6, 7], [10], [10, 10], [10, 10], [3, 3, 3, 3, 8], [10, 10], [10, 10], [10, 10], []]
[[], [10, 10], [10, 10], [9, 9], [10], [], [10, 10], [], [3, 7, 10], [3, 3, 3, 3, 3], [10, 10], [6, 8], [10, 10], [10, 10]]
[[10], [9, 9], [3, 3, 10], [10], [10], [7, 10], [3, 3, 10], [6, 10], [10], [10], [10], [10], [10], [3, 3, 10], [8, 10]]
[[10], [3, 3, 10], [10], [10], [10], [10], [10], [6, 10], [10], [10], [3, 3, 10], [10], [3, 3, 9], [8, 9], [10], [7, 10]]
[[10], [3, 8], [9], [10], [10], [3, 3, 10], [10], [7, 9], [10], [3, 3, 10], [10], [10], [6, 10], [10], [10], [10], [3, 10]]
[[10], [6, 8], [9], [10], [3, 9], [3, 10], [10], [10], [3, 10], [10], [10], [10], [10], [10], [3, 3, 7], [10], [10], [3, 10]]
[[10], [10], [9], [3, 3, 3, 3], [3, 10], [10], [10], [10], [10], [3, 10], [8], [10], [9], [10], [6, 7], [10], [10], [10], [10]]
[[10], [10], [10], [9], [9], [10], [10], [3, 10], [7], [6], [10], [10], [10], [8], [3, 10], [10], [10], [10], [10], [3, 3, 3, 3]]
[[10], [10], [6], [9], [10], [10], [7], [8], [10], [10], [10], [3, 3, 3, 3], [3, 3], [9], [10], [10], [10], [10], [10], [10], [10]]
[[10], [10], [10], [], [10], [6], [10], [8], [10], [7], [10], [9], [3, 3, 3, 3], [10], [10], [10], [10], [3, 3], [10], [10], [9], [10]]
[[], [10], [10], [9], [], [10], [3, 3, 3, 3], [8], [10], [3, 3], [6], [10], [10], [7], [10], [10], [9], [10], [10], [10], [10], [10], [10]]
[[10], [10], [], [10], [10], [10], [6], [10], [10], [10], [3, 7], [10], [3], [10], [], [], [3, 3, 3, 3], [9], [10], [10], [10], [8], [9], [10]]
[[9], [10], [10], [10], [10], [3, 3], [10], [3, 6], [10], [], [10], [10], [9], [], [3, 3, 3], [7], [10], [10], [], [], [10], [10], [8], [10], [10]]
-EndAllocation

Instance: [[1], [196], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10]]
[[4, 6, 6, 6, 6, 7, 9, 9], [5, 5, 8, 8, 8, 8, 8, 10], [9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[4, 5, 5, 7, 10, 10, 10], [6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 8, 8, 8, 8], [6, 6, 6, 6, 8, 10], [10], [7, 9, 9, 9, 9, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 9], [4], [5, 8, 9, 9, 9], [6, 6, 6, 6, 9], [5, 9, 9, 9, 9], [7, 10, 10, 10]]
[[4, 5, 5, 6, 8, 9], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7], [6, 6, 6], [9, 9, 9, 9]]
[[4, 9, 9], [8, 9, 9], [6, 6, 6, 7], [9, 9], [9, 10], [6, 10, 10], [5, 5, 9, 9], [8, 8, 8, 8]]
[[8, 8, 9], [4, 5, 5, 6, 9], [9, 9, 10], [9, 10, 10], [9], [6, 6, 6, 9], [9], [7, 9], [8, 8, 8]]
[[6, 9, 9], [4, 5, 5, 9], [7, 9, 9], [9, 9], [10, 10], [8, 8, 8], [9, 9], [6, 6, 10], [6], [8, 8]]
[[5, 8, 8], [4, 5, 7], [9, 9], [9, 10], [], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10], [8, 8, 8], [9, 9]]
[[4, 5, 6, 6], [9, 9], [5, 8, 8], [10, 10], [9, 10], [8, 9], [8, 9], [9, 9], [9], [7], [8, 9], [6, 6]]
[[6, 6, 6], [4, 5, 5], [8], [8, 8], [10, 10], [7, 9], [9, 9], [6, 9], [9, 9], [9, 10], [], [9, 9], [8, 8]]
[[10], [8, 9], [6, 9], [8, 9], [7, 9], [8, 10], [6, 6, 6], [5, 9], [9], [10], [9], [8, 8], [9], [4, 5, 9]]
[[4, 9], [8, 8], [9, 9], [5, 5, 6], [9, 9], [8, 8], [], [9, 9], [], [7, 10], [9, 9], [6, 6, 6], [10], [10], [8]]
[[8, 9], [5, 10], [9], [9], [4, 9], [5, 6, 6], [8, 9], [6, 6], [8, 8], [9], [10], [10], [7, 9], [9], [8], [9]]
[[5, 8], [6, 8], [6, 6], [8, 8], [10], [9], [9], [6, 9], [7, 9], [10], [10], [9], [9], [9], [4, 9], [8], [5, 9]]
[[10], [9], [9], [9], [5, 9], [5, 9], [10], [6, 8], [9], [6, 8], [9], [9], [4, 7], [6, 8], [6, 8], [9], [8], [10]]
[[4, 9], [9], [6, 8], [5, 6], [5, 7], [9], [9], [10], [9], [6, 8], [8], [9], [10], [10], [9], [8], [9], [9], [6, 8]]
[[5, 8], [5, 8], [9], [9], [9], [10], [9], [8], [9], [10], [6], [9], [9], [9], [6, 7], [4, 8], [8], [6, 6], [10], [9]]
[[9], [5, 8], [5, 8], [9], [10], [9], [], [9], [9], [9], [9], [7], [6, 6], [10], [9], [10], [9], [4, 8], [8], [8], [6, 6]]
[[5, 5], [4, 8], [9], [8], [8], [8], [9], [6, 6], [9], [6, 6], [10], [9], [9], [10], [9], [9], [], [7], [10], [9], [8], [9]]
[[4, 5], [8], [9], [8], [6, 6], [9], [10], [9], [5, 7], [9], [9], [9], [9], [], [9], [8], [8], [10], [10], [], [6, 6], [9], [8]]
[[5, 7], [9], [9], [4, 8], [9], [5, 6], [8], [], [9], [9], [6, 6], [10], [10], [6], [8], [9], [9], [9], [8], [10], [8], [], [9], []]
[[6], [10], [8], [5, 5], [], [6], [8], [8], [9], [9], [9], [4], [9], [9], [10], [9], [10], [9], [6], [9], [8], [7], [6], [9], [8]]
-EndAllocation

Instance: [[1], [195], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 3, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9]]
[[6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 9, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 9], [7, 7, 7, 10, 10, 10, 10], [3, 3, 7, 10, 10, 10]]
[[8, 8], [9, 10, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [3, 3, 6, 6, 6, 7, 7, 7, 7]]
[[8, 8, 8, 10, 10], [3, 8, 8, 8, 8, 8], [6, 6, 6], [3, 9], [10, 10, 10, 10], [7, 7, 7, 7, 10]]
[[3, 3, 10], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 10], [7, 7, 7, 7], [9, 10, 10]]
[[3, 3, 10], [8, 8, 8, 8], [6, 6, 6], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9], [10, 10, 10]]
[[6, 7, 7, 8], [6, 10, 10], [7, 7, 10], [10, 10], [8, 8, 8], [6, 10, 10], [9], [8, 8], [3, 3, 8, 8]]
[[8], [7, 8, 10], [3, 3, 10, 10], [6, 6, 6], [10, 10], [7, 7, 7], [9], [10, 10], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [3, 3, 8, 10], [10, 10], [10, 10], [6, 6, 6], [10, 10], [7], [7, 7, 7], [9], [8]]
[[10, 10], [3, 3, 8, 8], [8, 8], [7, 7, 7], [8, 8], [9], [6, 6, 7], [10, 10], [10], [10, 10], [], [6, 8, 8]]
[[3, 8, 8], [3, 8, 8], [8, 8], [10, 10], [10, 10], [10], [8, 8], [6, 6, 6], [7, 7], [7, 7], [9], [10, 10], []]
[[8, 8], [8, 8], [10], [8, 8], [8, 8], [3, 3, 7], [7, 10], [7, 10], [10], [10], [10], [9], [7, 10], [6, 6, 6]]
[[8, 8], [8, 8], [8, 8], [3, 3, 10], [6, 10], [7, 10], [8, 8], [6, 6], [10], [7, 10], [10], [10], [9], [7, 7], []]
[[8, 8], [8, 8], [3, 3, 10], [6, 10], [7, 10], [], [10], [6, 6], [10], [7, 9], [], [10], [8, 8], [10], [7, 7], [8, 8]]
[[3, 3, 8], [8], [8, 8], [10], [10], [], [6, 6], [8, 8], [10], [10], [6, 10], [10], [7, 7], [10], [7, 7], [9], [8, 8]]
[[10], [10], [6, 8], [10], [6, 8], [9], [7, 7], [10], [8], [10], [10], [8], [7, 7], [8], [3, 3, 8], [8], [6, 8], [10]]
[[3, 3, 7], [10], [6, 8], [6, 8], [10], [6, 8], [10], [8], [8], [7, 7], [7], [8], [10], [10], [9], [8], [10], [10], [8]]
[[3, 9], [6, 7], [8], [10], [6, 7], [8], [8], [10], [8], [10], [8], [8], [8], [10], [6, 7], [8], [10], [10], [7], [3, 10]]
[[3, 3, 7], [10], [6, 7], [8], [8], [8], [10], [10], [9], [8], [10], [8], [6, 7], [10], [8], [10], [6, 7], [], [10], [8], [8]]
[[3, 8], [10], [10], [8], [8], [10], [8], [10], [8], [10], [8], [8], [6, 6], [7], [7], [7], [9], [10], [10], [6], [3, 7], [8]]
[[3, 9], [6, 6], [8], [3, 8], [8], [], [10], [8], [10], [10], [10], [10], [10], [10], [7], [7], [8], [8], [7], [7], [8], [8], [6]]
[[3, 3], [10], [8], [10], [8], [7], [10], [8], [7], [8], [7], [10], [8], [10], [6, 6], [10], [8], [8], [], [9], [7], [10], [8], [6]]
[[8], [7], [8], [8], [7], [8], [8], [6], [10], [10], [6], [10], [10], [], [10], [7], [8], [8], [6], [10], [9], [7], [10], [3, 3], [8]]
-EndAllocation

Instance: [[1], [194], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[9, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 10, 10], [8, 8, 8, 8, 8, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 9]]
[[8, 8, 8, 9], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6], [10, 10, 10, 10, 10, 10]]
[[5, 5, 8, 8, 8, 8, 8], [5, 8, 9, 10, 10], [], [8, 8, 8, 8, 8, 10], [5, 5, 6, 6, 10, 10, 10]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 9], [8], [6, 6, 8, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5]]
[[5, 8, 8, 8, 8], [8], [6, 10, 10, 10], [8, 8, 8, 8], [6, 10, 10, 10], [9], [5, 5, 5, 5, 8, 8]]
[[8, 8, 8, 8], [5, 5, 8, 8], [5, 5, 5, 6, 10], [10, 10, 10], [8, 10, 10], [6], [9], [8, 8, 8, 8]]
[[5, 10, 10], [5, 5, 5, 6, 6], [8, 10, 10], [8], [8, 8, 8], [10, 10], [5, 9], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 5, 6, 9], [5], [6, 10, 10], [], [10, 10], [10, 10], [8, 8, 8], [5, 5, 8, 8]]
[[5, 9, 10], [5, 5, 5, 5], [8, 8, 8], [10, 10], [8, 8], [10], [], [8, 8, 8], [6, 6], [10, 10], [8, 8, 8]]
[[5, 5, 5, 5], [8, 8], [8, 8], [8, 8], [10, 10], [6, 6, 10], [10, 10], [5, 10], [8], [9], [8, 8], [8, 8]]
[[8, 10], [8, 8], [5, 5, 5, 5], [8, 10], [8, 10], [5, 8], [8, 10], [6, 6, 8], [8], [9], [10, 10], [8, 8], []]
[[8, 8], [5, 5, 8], [5, 5, 8], [8, 8], [8, 8], [9], [8, 10], [10], [10], [6, 6], [10], [5, 10], [10], [8, 8]]
[[8, 8], [8, 8], [8], [8, 8], [5, 5, 5], [5, 9], [10], [10], [5, 10], [6, 10], [6, 10], [8, 8], [], [10], [8, 8]]
[[8, 8], [5, 5, 5], [8, 8], [8], [8, 8], [10], [9], [6, 10], [8, 8], [10], [10], [10], [8, 8], [], [5, 5, 6], [10]]
[[5, 10], [5, 5, 5], [8, 8], [10], [10], [10], [10], [8, 8], [8, 8], [], [9], [6, 6], [], [8, 8], [10], [8, 8], [5, 8]]
[[6, 8], [5, 8], [6, 8], [8], [8], [10], [8], [8], [10], [10], [9], [5, 8], [10], [10], [5, 8], [10], [5, 8], [5, 8]]
[[5, 5], [6, 8], [10], [8], [5, 8], [8], [10], [6, 8], [8], [10], [10], [8], [5, 8], [8], [10], [8], [10], [9], [5, 8]]
[[6, 6], [5, 8], [8], [10], [5, 8], [10], [10], [], [8], [8], [10], [10], [5, 8], [8], [10], [9], [8], [8], [5, 8], [5, 8]]
[[8], [5, 5], [5, 5], [5, 8], [8], [8], [8], [10], [8], [10], [8], [10], [6, 6], [10], [10], [9], [8], [8], [8], [8], [10]]
[[5, 5], [10], [5], [8], [9], [10], [8], [8], [8], [10], [10], [8], [8], [5, 5], [6, 6], [8], [8], [10], [8], [8], [8], [10]]
[[10], [8], [5, 5], [10], [5], [8], [10], [8], [5], [5], [10], [8], [6, 6], [10], [8], [8], [8], [8], [8], [10], [8], [9], [8]]
[[8], [8], [8], [5, 5], [8], [8], [8], [8], [], [8], [5, 5], [10], [8], [10], [], [10], [6, 6], [5], [8], [8], [9], [10], [10], [10]]
[[8], [6], [8], [8], [10], [8], [8], [8], [8], [8], [5], [8], [10], [], [5, 5], [8], [6], [10], [8], [9], [], [10], [10], [10], [5, 5]]
-EndAllocation

Instance: [[1], [193], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,25. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,25:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 9, 9], [6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9], [6, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 5, 8, 10, 10, 10, 10]]
[[], [4, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 5, 8, 8, 10, 10], [6, 9, 9, 10, 10, 10, 10]]
[[], [8, 9, 9, 10, 10], [4, 4, 4, 4, 4, 4, 4, 5, 6, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [6, 8, 10, 10, 10], [8, 9, 10], [4, 4, 4, 4, 4, 4, 4, 5, 9]]
[[10], [4, 4, 4, 4, 4, 4, 4], [9, 9, 10], [5, 10, 10, 10], [10, 10, 10], [10, 10, 10], [6, 8, 8, 10]]
[[], [4, 4, 4, 4, 5, 10], [4, 4], [10, 10, 10], [10, 10, 10], [4, 9, 9, 10], [10, 10, 10], [6, 8, 8, 10]]
[[], [9, 9, 10], [10, 10], [4, 4, 4, 8, 8], [5, 10, 10], [10, 10], [10, 10], [4, 4, 6, 10], [4, 4, 10, 10]]
[[], [9, 9], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [5, 6, 10], [4, 10, 10], [10, 10], [8, 8, 10]]
[[], [6, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 8, 8], [4, 4, 4, 4, 4], [5, 10], [9, 9]]
[[], [10, 10], [], [9, 9], [4, 4, 4, 4, 5], [4, 4, 4, 10], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8], [6, 10]]
[[], [], [10, 10], [5, 10], [10, 10], [6, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4], [8], [4, 4, 4, 8], [9, 9]]
[[10], [10], [10], [8, 10], [5, 10], [9, 9], [4, 10], [4, 4, 10], [8, 10], [10], [10], [4, 4, 4, 4], [10], [6, 10]]
[[10], [4, 10], [8, 9], [4, 10], [5, 10], [10], [10], [8, 9], [10], [10], [10], [6, 10], [4, 10], [10], [4, 4, 4, 4]]
[[10], [10], [5, 10], [10], [6, 10], [8, 9], [4, 4, 4], [10], [10], [10], [10], [10], [4, 4, 4, 4], [8, 9], [10], [10]]
[[9], [10], [8, 8], [4, 9], [10], [10], [10], [5, 6], [10], [4, 10], [4, 10], [10], [10], [4, 4, 4, 4], [10], [10], [10]]
[[10], [10], [8], [4, 10], [10], [10], [4, 4, 4], [5, 9], [10], [4, 10], [10], [6], [8], [9], [4, 10], [10], [10], [4, 10]]
[[9], [4, 4, 4], [10], [10], [10], [10], [8], [4, 8], [10], [10], [4, 9], [4, 10], [10], [4, 10], [5, 6], [10], [], [10], [10]]
[[10], [6], [10], [10], [10], [10], [9], [10], [5], [10], [10], [4, 4, 4], [10], [9], [10], [10], [4, 8], [4, 4, 4], [8], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [4, 4], [6], [10], [], [5], [4, 8], [4, 8], [10], [10], [9], [10], [10], [9], [10]]
[[10], [10], [10], [9], [8], [10], [10], [8], [10], [6], [9], [10], [10], [], [4], [10], [10], [5], [4, 4, 4], [10], [10], [4, 4, 4]]
[[10], [10], [10], [10], [10], [5], [], [8], [4, 6], [9], [10], [4, 4, 4], [10], [10], [4, 8], [], [], [9], [10], [4, 4], [10], [10], [10]]
[[10], [9], [], [4, 5], [10], [10], [10], [6], [10], [4, 4, 4], [8], [10], [10], [9], [10], [10], [10], [4, 4, 4], [], [10], [], [8], [10], []]
[[10], [10], [10], [9], [], [], [10], [10], [10], [10], [4, 6], [10], [4, 4], [10], [10], [5], [8], [9], [10], [], [4, 4], [8], [], [10], [4, 4]]
-EndAllocation

Instance: [[1], [208], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 10], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 7, 7, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 7, 7, 9, 9, 9, 10], [4, 5, 5, 9], [6, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 7, 10], [4, 5, 5], [10, 10, 10, 10, 10], [7, 9, 9, 9, 9, 10]]
[[5, 7, 8, 8, 10], [5, 8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 7, 10, 10], [4]]
[[4, 6, 8, 8, 10], [8, 8, 8, 8, 8], [5, 5], [10, 10, 10, 10], [6, 6, 10, 10], [7, 7], [9, 9, 9, 9]]
[[4, 5, 5, 9, 10], [8, 8, 8], [6, 6, 6, 10], [7, 7, 10, 10], [10, 10, 10], [], [9, 9, 9], [8, 8, 8, 8]]
[[4, 5, 5, 6, 10], [10, 10, 10], [7], [], [8, 8, 8, 8], [9, 10, 10], [6, 6, 7, 10], [9, 9, 9], [8, 8, 8]]
[[4, 8, 8], [5, 5, 8, 8], [10, 10], [8, 10, 10], [9, 9, 9], [7, 7, 10], [6, 6, 6, 9], [10, 10], [], [8, 8]]
[[8, 8, 8], [8, 8, 8], [4, 9, 9], [8, 10], [9, 9], [6, 6, 6], [10, 10], [7, 7], [10, 10], [10, 10], [5, 5]]
[[4, 5, 5, 10], [9, 9], [], [8, 8, 8], [9, 9], [10, 10], [7, 7], [10, 10], [10, 10], [8, 8, 8], [6, 6, 6], [8]]
[[9, 9], [4], [8, 8], [8, 8], [10, 10], [10], [8, 8], [6, 6, 6], [7, 7], [9, 9], [10, 10], [10, 10], [5, 5, 8]]
[[4, 8, 8], [8], [8, 8], [8, 8], [5, 5, 10], [10, 10], [9, 9], [], [6, 6, 6], [7, 7], [10, 10], [9, 9], [10, 10], []]
[[8, 10], [8, 8], [8, 8], [4, 5, 9], [5, 10], [10], [10], [6, 6, 6], [10], [7, 7], [9], [10], [9, 9], [10], [8, 8]]
[[10], [4, 5], [8, 9], [8, 8], [5, 10], [9], [9], [7, 10], [6, 10], [8, 8], [10], [10], [9], [6, 6], [7, 10], [8, 8]]
[[7, 10], [4, 10], [8, 8], [6, 8], [5, 5], [9], [9], [10], [9], [10], [10], [10], [6, 6], [7, 9], [10], [8, 8], [8, 8]]
[[8, 8], [4, 8], [8, 8], [5, 10], [5, 10], [10], [], [8, 8], [9], [9], [6, 6], [9], [10], [7, 7], [10], [9], [6, 10], [10]]
[[5, 8], [10], [5, 8], [10], [8], [6, 8], [6, 8], [6, 8], [10], [8], [7, 7], [9], [10], [9], [10], [10], [10], [9], [4, 9]]
[[6, 8], [4, 8], [10], [10], [5, 7], [6, 8], [6, 7], [8], [10], [8], [10], [10], [8], [9], [10], [9], [9], [8], [10], [5, 9]]
[[10], [10], [9], [10], [10], [9], [6], [10], [10], [8], [6, 7], [9], [5, 8], [8], [8], [6, 7], [8], [10], [4, 8], [5, 8], [9]]
[[8], [10], [4, 8], [9], [5, 7], [9], [10], [9], [8], [7], [8], [10], [10], [10], [8], [9], [8], [6], [10], [10], [5, 8], [6, 6]]
[[10], [6, 7], [5, 5], [8], [9], [10], [7], [8], [8], [8], [4], [8], [6, 6], [10], [10], [10], [10], [8], [9], [8], [10], [9], [9]]
[[10], [4, 8], [10], [5, 5], [6], [], [8], [8], [6, 6], [10], [8], [8], [10], [7], [10], [8], [9], [9], [8], [10], [9], [10], [9], [7]]
[[8], [4, 8], [8], [8], [8], [10], [8], [5, 6], [], [7], [], [10], [10], [], [9], [9], [9], [8], [9], [10], [10], [6, 6], [10], [10], [5, 7]]
[[9], [10], [6], [8], [8], [8], [8], [8], [7], [4, 6], [10], [7], [10], [10], [6], [5, 5], [10], [8], [10], [9], [8], [9], [], [10], [9], []]
-EndAllocation

Instance: [[1], [207], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [4, 5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 8, 8, 8, 8, 8, 8, 9, 10, 10], [6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[10, 10, 10, 10], [4, 9, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9], [6], [10, 10, 10, 10], [8, 8, 8, 9, 9, 9]]
[[4, 5, 5, 8, 9, 9], [8, 8, 8, 8, 9], [8, 9, 9], [6, 6, 6, 6, 9, 9], [10, 10, 10, 10], [9, 9]]
[[8, 8, 8, 8, 8], [4, 9, 9, 9], [9, 9, 10, 10], [6, 6, 6, 6, 9], [10, 10], [8], [5, 5, 9, 9, 9]]
[[4, 5, 5, 9, 9], [8, 8, 9, 9], [9, 9], [9, 9, 10], [6, 6, 6, 6, 9], [10, 10, 10], [], [8, 8, 8, 8]]
[[5, 5, 8, 10], [4, 6, 6, 6, 6], [9, 9, 9], [], [8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8], [9, 9, 9]]
[[4, 9], [8, 8, 9], [9, 9, 10], [8], [5, 9, 9], [9, 9, 9], [6, 6, 6, 6], [10, 10], [5, 10], [8, 8, 8]]
[[8, 8, 9], [5, 9, 9], [6, 6, 6, 6], [4, 9, 9], [8], [], [10, 10], [9, 9], [5, 9, 9], [10, 10], [8, 8, 8]]
[[4, 5, 6, 9], [5, 9, 9], [6, 9], [], [9, 9], [], [9, 9], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [6, 6, 9]]
[[9, 10], [9, 9], [4, 8, 8], [8, 8], [6, 10], [9, 9], [6, 6, 6], [5, 5], [9, 9], [], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 9], [6, 9], [9, 9], [9, 9], [9], [5, 5], [], [6, 6, 6], [8, 8], [10, 10], [9, 9], [10, 10], [4, 8]]
[[8, 8], [9, 9], [6, 8], [10], [5, 5], [10], [8, 9], [9, 9], [6, 6, 6], [9, 9], [10], [4, 10], [9, 9], [], [8, 8]]
[[4, 10], [8, 8], [8, 8], [9], [5, 9], [6, 10], [10], [5, 9], [6, 9], [9], [9], [9], [10], [6, 9], [8, 8], [6, 9]]
[[9], [6, 10], [8, 8], [9], [9], [8, 8], [5, 9], [4, 9], [6, 9], [5, 9], [9], [10], [6, 6], [10], [9], [10], [8, 8]]
[[5, 9], [9], [5, 9], [6, 10], [8, 8], [6, 10], [8, 8], [4], [9], [10], [9], [6, 10], [9], [6, 9], [9], [], [9], [8, 8]]
[[4, 9], [5, 9], [9], [10], [5, 9], [10], [10], [6, 8], [6, 8], [9], [6, 8], [9], [8], [10], [9], [9], [6, 8], [9], [8]]
[[4, 9], [10], [8], [10], [6, 6], [6, 8], [10], [8], [8], [9], [10], [9], [9], [6, 8], [5, 9], [9], [9], [9], [5, 9], [8]]
[[5, 8], [4, 9], [5, 8], [9], [8], [8], [9], [9], [9], [8], [10], [9], [10], [10], [9], [10], [6, 6], [9], [6, 6], [9], [8]]
[[10], [6, 6], [8], [8], [6, 6], [5, 8], [10], [5, 8], [9], [9], [4], [9], [10], [9], [9], [9], [9], [9], [9], [10], [8], [8]]
[[10], [10], [8], [9], [9], [4, 8], [9], [9], [8], [10], [10], [9], [6, 6], [9], [9], [9], [], [9], [5, 5], [6, 6], [8], [8], [8]]
[[], [4, 8], [8], [8], [9], [], [9], [10], [6, 6], [10], [9], [9], [9], [10], [10], [9], [9], [9], [8], [5, 5], [8], [6, 6], [9], [8]]
[[8], [], [8], [10], [6, 6], [8], [10], [9], [9], [9], [9], [9], [9], [8], [9], [9], [5, 5], [9], [], [4, 8], [], [6, 6], [10], [10], [8]]
[[9], [9], [9], [8], [10], [9], [8], [8], [8], [10], [4, 6], [], [6], [], [9], [6], [6], [10], [9], [10], [9], [9], [5, 5], [8], [9], [8]]
-EndAllocation

Instance: [[1], [206], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [7, 8, 8, 8, 8, 8, 8, 10, 10]]
[[3, 6, 6, 7, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8]]
[[6, 6, 7, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5], [3, 9, 9, 9, 9, 10, 10]]
[[3, 8, 8, 8, 8, 8, 8], [6, 6, 7, 9, 9, 9, 9], [], [5, 5, 5, 5, 10, 10, 10], [10, 10, 10, 10, 10]]
[[3, 7, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8], [], [9, 9, 9, 9], [6, 10, 10, 10, 10], [6, 10, 10, 10, 10]]
[[3, 6, 6, 7], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5], [8], [8, 8, 8, 8, 8], [9, 9, 9, 9]]
[[3, 7, 9, 10], [10, 10, 10], [9, 9, 9], [6, 6], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 10], [8, 8]]
[[3, 10], [], [8, 8, 8], [8, 8, 8], [6, 6, 7, 9], [10, 10, 10], [10, 10, 10], [9, 9, 9], [5, 5, 5, 5, 10]]
[[7, 10, 10], [3, 10, 10], [8, 8, 8], [9, 9, 9], [5, 5, 5, 5, 6], [8, 8, 8], [10, 10], [9], [10, 10], [6]]
[[3, 6, 6, 10], [5, 5, 5, 5], [10, 10], [9, 9], [7, 9, 9], [], [8, 8, 8], [8, 8, 8], [10, 10], [10], [10, 10]]
[[3, 6, 10], [10, 10], [7], [6, 10], [9, 9], [], [8, 8, 8], [8, 8, 8], [9, 9], [10, 10], [10, 10], [5, 5, 5, 5]]
[[3, 8, 8], [6, 6, 7], [10, 10], [10, 10], [8, 8], [9, 9], [9, 9], [], [], [8, 8], [10, 10], [5, 5, 5, 5], [10, 10]]
[[5, 5, 5, 5], [9, 9], [10, 10], [8, 8], [8, 8], [10, 10], [10, 10], [3, 7, 9], [6, 6], [10, 10], [], [], [8, 8], [9]]
[[3, 10], [8, 8], [8, 9], [], [10], [5, 10], [10], [6, 10], [5, 5, 5], [9, 9], [7, 9], [10], [8, 10], [8, 8], [6, 10]]
[[8, 8], [8, 9], [], [10], [10], [6, 10], [10], [5, 5, 5], [], [8, 9], [6, 10], [8, 9], [8, 9], [7, 10], [5, 10], [3, 10]]
[[3, 10], [10], [9], [10], [8, 8], [7, 10], [10], [9], [5, 9], [], [10], [8], [8, 9], [8, 8], [5, 5, 5], [6, 10], [6, 10]]
[[8, 8], [10], [10], [10], [6, 6], [5, 10], [5, 5, 5], [], [8, 8], [8, 8], [9], [10], [10], [9], [10], [10], [7, 9], [3, 9]]
[[5, 9], [10], [9], [6, 7], [10], [8], [10], [9], [10], [10], [5, 8], [8], [8], [10], [10], [6, 8], [3, 10], [5, 9], [5, 8]]
[[6, 8], [10], [10], [9], [10], [5, 5], [8], [10], [10], [10], [8], [9], [10], [6, 7], [10], [5, 8], [9], [5, 8], [8], [3, 9]]
[[3, 10], [8], [9], [10], [5, 5], [8], [5, 6], [10], [9], [10], [8], [10], [6, 7], [8], [9], [8], [10], [9], [10], [10], [5, 8]]
[[6, 6], [8], [10], [], [8], [7], [8], [10], [8], [10], [9], [5, 5], [9], [10], [10], [10], [9], [5, 8], [10], [10], [3, 9], [5, 8]]
[[5, 5], [8], [8], [], [10], [10], [9], [6, 6], [10], [10], [10], [9], [5, 5], [8], [8], [8], [10], [8], [7], [10], [10], [9], [3, 9]]
[[3, 7], [10], [8], [10], [5, 5], [6, 6], [], [8], [10], [8], [10], [], [5, 5], [8], [8], [8], [10], [9], [10], [9], [10], [9], [10], [9]]
[[3, 5], [8], [8], [9], [], [], [9], [], [10], [10], [10], [5, 5], [10], [8], [9], [9], [8], [8], [8], [10], [10], [10], [10], [6, 6], [5, 7]]
[[3, 5], [10], [9], [10], [9], [], [10], [7], [10], [5, 5], [], [8], [8], [10], [10], [9], [10], [8], [6], [6], [5], [9], [10], [8], [8], [8]]
-EndAllocation

Instance: [[1], [205], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[7, 8, 9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 7, 8, 10, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 4, 4, 7, 10], [8, 9, 9, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 4, 4, 7], [10, 10, 10, 10], [9, 9, 10, 10], [8, 10, 10, 10], [10, 10, 10, 10]]
[[], [7, 10], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10, 10], [10, 10, 10, 10], [8, 9, 9, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [8, 10, 10], [7, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [9, 9, 10]]
[[], [7, 9, 9], [4, 10, 10], [4, 4, 4, 4, 4, 4, 4], [8, 10, 10], [10, 10, 10], [10], [10, 10, 10], [10, 10, 10]]
[[], [8, 10, 10], [4, 10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10], [10, 10], [9, 9, 10], [7, 10, 10]]
[[10], [8, 10], [4, 4, 10], [10, 10], [4, 4, 4, 4, 4, 4], [9, 9], [10, 10], [7, 10], [10, 10], [10, 10], [10, 10]]
[[], [4, 9, 9], [10, 10], [8, 10], [10, 10], [4, 10, 10], [7, 10], [], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4]]
[[], [10, 10], [4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [7, 8], [], [10, 10], [10, 10]]
[[], [10], [10, 10], [10, 10], [10, 10], [9, 9], [4, 4, 4, 7], [], [10, 10], [], [10, 10], [8, 10], [4, 4, 4, 4, 4], [10, 10]]
[[10], [4, 4, 10], [7, 10], [9, 9], [10], [8, 10], [4, 4, 10], [10], [4, 4, 10], [10], [10], [4, 4, 10], [10], [10], [10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [10], [10], [10], [4, 10], [4, 10], [10], [4, 10], [4, 4, 9], [7, 10], [8, 9]]
[[10], [7, 10], [4, 9], [10], [10], [10], [10], [4, 10], [10], [4, 4, 4, 4], [8, 9], [10], [4, 10], [10], [4, 10], [10], [10]]
[[10], [10], [10], [10], [10], [4, 10], [4, 10], [7, 9], [10], [10], [8], [4, 10], [9], [4, 4, 4, 4], [4, 10], [10], [10], [10]]
[[10], [10], [9], [4, 4, 4], [10], [4, 10], [7], [4, 10], [4, 9], [4, 10], [4, 10], [10], [10], [10], [10], [10], [10], [10], [8]]
[[10], [10], [4, 10], [], [4, 7], [10], [4, 4, 4], [10], [10], [4, 9], [10], [10], [4, 8], [10], [10], [9], [4, 10], [10], [10], [10]]
[[10], [10], [10], [10], [10], [10], [9], [10], [9], [8], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4], [7]]
[[9], [10], [10], [4, 4, 4], [4, 4, 4], [10], [10], [10], [4], [8], [10], [10], [10], [10], [10], [], [4, 7], [10], [10], [10], [9], [10]]
[[], [8], [10], [10], [10], [10], [10], [7], [9], [4, 4, 4], [10], [4, 4], [10], [], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [9]]
[[10], [4, 4], [10], [10], [4, 4, 4], [8], [10], [10], [10], [10], [10], [10], [], [10], [9], [10], [10], [9], [7], [], [4, 4, 4], [10], [], [10]]
[[9], [10], [], [10], [10], [10], [10], [4, 4], [10], [10], [4, 4, 4], [10], [7], [10], [], [8], [], [10], [4, 4, 4], [10], [10], [10], [9], [10], []]
[[10], [], [10], [9], [10], [], [10], [4, 4], [], [10], [4, 4], [], [9], [10], [4, 4], [10], [10], [10], [10], [7], [4, 4], [8], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [204], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9]]
[[7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 9], [8, 9, 9, 9], [5, 5, 5, 6, 6, 6, 7], [7, 7, 10, 10, 10, 10, 10]]
[[6, 6, 6, 7, 7, 8, 10], [8], [5, 7, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 9], [10, 10, 10, 10], [6, 6, 6, 10], [7, 7, 7], [5, 5, 5, 9, 9, 9]]
[[5, 5, 8, 8, 9], [8, 8], [7, 7, 7, 8, 8], [6, 6, 6, 8, 8], [10, 10, 10, 10], [10], [5, 9, 9, 9]]
[[5, 5, 5, 6, 6], [8, 8, 8, 8], [10, 10], [7, 7, 7], [10, 10, 10], [9], [6, 9, 9, 9], [8, 8, 8, 8]]
[[5, 8, 8], [9, 9, 9], [7, 8, 9], [8, 10, 10], [6, 6, 6, 10], [7, 7, 10], [8, 8, 10], [], [5, 5, 8, 8]]
[[7, 7, 9], [8, 8, 8], [6, 7, 10], [5, 5, 5], [], [6, 6, 8, 8], [9, 9, 9], [10, 10], [10, 10], [8, 8, 8]]
[[6], [8, 8, 8], [8, 8], [6, 10], [10, 10], [9, 9], [10, 10], [7, 7, 7], [6, 9, 9], [5, 5, 5], [8, 8, 8]]
[[5, 9], [5, 8, 8], [8, 8], [], [9, 10], [7, 7, 7], [6, 6, 6], [10, 10], [10, 10], [9, 9], [8, 8], [5, 8, 8]]
[[5, 5], [8, 8], [8, 8], [], [10], [9, 9], [9, 9], [7, 7, 7], [6, 6, 6], [8, 8], [10, 10], [10, 10], [5, 8, 8]]
[[8, 8], [5, 7, 8], [5, 5, 8], [7, 7], [8, 8], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [10, 10], [9, 9], [10], []]
[[8, 8], [8, 8], [7, 7], [9, 9], [10], [8, 8], [], [6, 6, 6], [9, 9], [10], [10], [10], [5, 5, 5], [7, 10], [8, 8]]
[[8, 8], [8, 8], [6, 6], [8, 8], [5, 5, 5], [7, 10], [10], [6, 10], [], [9], [10], [7, 10], [9], [9], [7, 9], [8, 8]]
[[5, 6], [6], [8, 8], [8, 8], [10], [], [6, 10], [7, 9], [5, 9], [9], [10], [5, 10], [7, 7], [10], [8, 8], [9], [8, 8]]
[[5, 7], [8, 8], [8], [5, 8], [9], [10], [9], [10], [6, 6], [], [10], [10], [8, 8], [7, 7], [6, 10], [9], [5, 9], [8, 8]]
[[5, 7], [9], [8], [6, 8], [5, 9], [7, 7], [10], [10], [9], [6, 8], [8], [10], [10], [8], [8], [6, 8], [10], [9], [5, 8]]
[[8], [5], [5, 8], [10], [9], [9], [9], [8], [6, 8], [6, 7], [10], [9], [10], [6, 8], [7, 7], [8], [8], [10], [10], [5, 8]]
[[5, 7], [9], [9], [10], [8], [8], [5, 7], [10], [8], [8], [8], [8], [9], [10], [9], [10], [8], [6, 7], [6, 6], [10], [5, 8]]
[[9], [5, 5], [6, 6], [8], [8], [8], [5, 8], [7], [8], [10], [9], [10], [6, 7], [7], [10], [9], [8], [10], [9], [10], [8], [8]]
[[10], [8], [8], [8], [6], [10], [9], [6, 6], [5, 7], [10], [8], [9], [10], [5, 7], [5, 7], [10], [8], [], [9], [8], [8], [9], [8]]
[[7], [8], [8], [9], [10], [8], [8], [8], [7], [], [9], [10], [8], [6], [8], [10], [5, 5], [10], [5, 7], [10], [9], [6, 6], [9], [8]]
[[5], [8], [8], [8], [7], [6, 6], [8], [9], [9], [7], [9], [6], [10], [10], [8], [5, 5], [8], [], [7], [9], [10], [10], [8], [10], [8]]
[[7], [8], [10], [7], [8], [8], [6], [8], [6], [7], [8], [8], [5, 5], [8], [9], [6], [10], [9], [9], [10], [10], [10], [9], [5], [], [8]]
-EndAllocation

Instance: [[1], [203], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[1, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8], [4, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[1, 9, 9, 9, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 10], [4, 5, 5, 6, 6, 7, 7, 10]]
[[1, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7], [4, 6, 6, 9, 9, 9, 9, 10], [10, 10, 10, 10, 10, 10]]
[[1, 5, 6, 6, 8], [10, 10], [5, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [4, 7, 7, 9, 9, 9, 9]]
[[1, 8, 8, 8, 8, 9], [8, 8, 8, 9, 9], [5, 5, 9], [6, 6, 10, 10, 10], [7, 7], [4, 10, 10, 10, 10]]
[[1, 4, 8, 8, 8], [8, 8, 8, 8], [7, 7, 9, 10], [10, 10, 10], [10, 10, 10], [5, 5, 9, 9, 9], [6, 6]]
[[1, 4, 9, 9, 10], [8, 8, 8, 9], [5, 5, 7, 7, 10], [], [6, 6, 10, 10], [10, 10, 10], [8], [8, 8, 8, 9]]
[[1, 4, 9, 10], [7, 10, 10], [10, 10], [5, 5], [6, 6, 7, 8], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8]]
[[1, 4, 8, 10], [8, 8, 8], [10], [10], [5, 5, 10], [6, 6, 10], [9, 9, 9], [7, 7, 10], [9, 10], [8, 8, 8]]
[[1, 4, 8, 10], [8, 8, 8], [6, 6, 9], [10, 10], [10, 10], [9], [10, 10], [7, 7], [8, 8, 8], [9], [5, 5, 9]]
[[1, 4, 7, 8], [5, 7, 10], [5, 8, 8], [8, 8], [9, 9], [10, 10], [9, 9], [10, 10], [6, 6], [10, 10], [], [8, 8]]
[[1, 4, 8, 8], [8, 8], [9, 10], [9, 9], [10, 10], [], [6, 6], [5, 5, 9], [10, 10], [8, 8], [10, 10], [7, 7], [8]]
[[1, 8, 8], [7, 7], [4, 8, 8], [8, 8], [], [10, 10], [9, 9], [], [6, 6], [8], [10, 10], [10, 10], [9, 9], [5, 5, 10]]
[[1, 8, 8], [4, 9], [9], [10], [8, 10], [9], [7, 10], [6, 10], [5, 5], [8, 8], [10], [10], [7, 9], [6, 10], [8, 8]]
[[1, 10], [4, 10], [8, 9], [8, 8], [10], [7, 7], [8, 9], [6, 6], [8, 9], [5, 5], [10], [10], [9], [10], [10], [8, 8]]
[[1, 4, 10], [7, 9], [8, 8], [8, 8], [10], [10], [7, 9], [5, 5], [9], [10], [10], [10], [6, 6], [9], [8], [10], [8, 8]]
[[1, 4, 7], [10], [8, 8], [8], [9], [10], [9], [10], [5, 9], [10], [10], [5, 9], [8, 8], [6, 6], [8, 8], [10], [10], [7]]
[[1, 10], [4, 10], [6, 8], [5, 8], [5, 9], [6, 8], [7, 7], [9], [10], [9], [10], [8], [8], [10], [10], [9], [8], [10], [8]]
[[1, 5, 8], [4, 8], [5, 7], [9], [7], [10], [6, 8], [6, 8], [10], [8], [10], [10], [8], [10], [9], [10], [9], [10], [9], [8]]
[[1, 10], [10], [4, 8], [10], [5, 8], [], [10], [8], [5, 8], [9], [9], [9], [10], [6, 7], [9], [10], [8], [8], [6, 7], [10], [8]]
[[1, 10], [6, 6], [5, 8], [5, 8], [4, 7], [8], [8], [9], [8], [10], [10], [9], [9], [9], [8], [10], [10], [8], [10], [10], [7], []]
[[1, 4, 7], [8], [8], [10], [8], [], [6, 6], [8], [7], [10], [8], [9], [5, 5], [10], [10], [10], [10], [10], [9], [8], [8], [9], [9]]
[[1, 4, 7], [8], [10], [8], [10], [8], [], [8], [7], [8], [8], [10], [8], [10], [6, 6], [10], [9], [5, 5], [10], [], [9], [10], [9], [9]]
[[4, 8], [8], [10], [8], [1, 8], [8], [8], [10], [], [7], [9], [], [10], [10], [6, 6], [5, 5], [9], [], [7], [9], [10], [9], [10], [10], [8]]
[[1, 8], [8], [8], [8], [4], [7], [8], [9], [6], [], [10], [8], [], [10], [9], [7], [6], [10], [9], [10], [10], [5, 5], [10], [8], [9], [10]]
-EndAllocation

Instance: [[1], [202], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[9, 9, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 8, 10, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10], [8, 9, 9, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10, 10], [9, 9, 10, 10], [8, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [10, 10, 10], [9, 9, 10, 10], [8, 10, 10, 10]]
[[], [10, 10, 10], [8, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [4, 10, 10], [9, 9, 10]]
[[], [9, 9], [4, 4, 10, 10], [4, 4, 4, 4, 4, 4, 4], [8, 10, 10], [10, 10, 10], [10], [10, 10, 10], [10, 10, 10]]
[[], [8, 10, 10], [4, 4, 10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10], [10, 10], [9, 9, 10], [10, 10]]
[[], [8, 10], [4, 4, 4, 10], [10, 10], [4, 4, 4, 4, 4, 4], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [4, 9, 9], [10, 10], [8, 10], [10, 10], [4, 4, 4, 10], [10, 10], [], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4]]
[[], [10, 10], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [8], [], [10, 10], [10, 10]]
[[], [10], [10, 10], [10, 10], [10, 10], [9, 9], [4, 4, 4, 4, 4], [], [10, 10], [], [10, 10], [8, 10], [4, 4, 4, 4], [10, 10]]
[[10], [4, 4, 10], [10], [10], [10], [8, 10], [9, 9], [10], [4, 4, 10], [10], [10], [4, 4, 10], [4, 4, 10], [10], [4, 10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [8, 9], [10], [9], [4, 10], [4, 10], [10], [4, 10], [4, 10], [4, 10], [4, 10]]
[[10], [4, 10], [4, 9], [4, 10], [10], [9], [10], [4, 10], [4, 10], [10], [4, 10], [4, 10], [4, 10], [8], [4, 10], [10], [10]]
[[10], [10], [10], [10], [10], [4, 10], [4, 10], [4, 9], [10], [10], [8], [4, 10], [9], [4, 4, 4, 4], [4, 10], [10], [10], [10]]
[[10], [10], [9], [4, 4, 4], [10], [10], [10], [4, 10], [4, 9], [4, 4, 4], [4, 10], [10], [10], [10], [10], [10], [10], [10], [8]]
[[10], [10], [4, 10], [], [4, 4, 4], [10], [4, 4], [10], [10], [4, 9], [10], [10], [4, 8], [10], [10], [9], [4, 10], [10], [10], [10]]
[[10], [10], [10], [10], [10], [10], [9], [10], [9], [8], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [], [10], [4, 4, 4], [10]]
[[9], [10], [10], [4, 4, 4], [4, 4, 4], [10], [10], [10], [10], [8], [10], [10], [10], [10], [], [], [4, 4, 4], [10], [10], [10], [9], [10]]
[[], [8], [10], [10], [10], [10], [10], [10], [9], [4, 4, 4], [10], [4, 4, 4], [10], [], [10], [10], [4, 4, 4], [10], [10], [10], [], [10], [9]]
[[10], [4, 4, 4], [10], [10], [4, 4, 4], [8], [10], [10], [10], [10], [10], [10], [], [10], [9], [10], [10], [9], [10], [], [4, 4, 4], [], [], [10]]
[[9], [10], [], [10], [10], [10], [10], [4, 4, 4], [10], [], [4, 4, 4], [10], [10], [10], [], [8], [], [10], [4, 4, 4], [10], [10], [10], [9], [10], []]
[[10], [], [10], [9], [4], [], [10], [4, 4], [], [10], [4, 4], [], [9], [10], [4, 4], [10], [10], [10], [10], [10], [4, 4], [8], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [201], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,26. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,26:
-StartAllocation
[[9, 9, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 7, 10, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10], [9, 9, 10, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [10, 10, 10, 10], [9, 9, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 10, 10, 10], [10, 10, 10], [9, 9, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [7, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [4, 10, 10], [9, 9, 10]]
[[], [7, 9, 9], [4, 4, 10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [10, 10, 10]]
[[], [10, 10], [4, 4, 10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10], [10, 10], [9, 9, 10], [7, 10, 10]]
[[], [10, 10], [4, 4, 4, 10], [10, 10], [4, 4, 4, 4, 4, 4], [9, 9], [10, 10], [7, 10], [10, 10], [10, 10], [10, 10]]
[[], [4, 9, 9], [10, 10], [10, 10], [10, 10], [4, 4, 4, 10], [7, 10], [], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4]]
[[], [10, 10], [4, 4, 4, 4], [9, 9], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [7], [], [10, 10], [10, 10]]
[[], [10], [4, 10], [10, 10], [10, 10], [9, 9], [4, 4, 4, 7], [], [10, 10], [], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10]]
[[10], [4, 4, 10], [7, 10], [10], [10], [10], [9, 9], [10], [4, 4, 10], [10], [10], [4, 4, 10], [4, 4, 10], [10], [4, 10]]
[[10], [10], [4, 10], [4, 10], [4, 10], [10], [10], [10], [10], [4, 10], [4, 4, 9], [10], [10], [4, 4, 9], [7, 10], [4, 10]]
[[10], [4, 7], [4, 9], [4, 10], [10], [9], [10], [4, 10], [10], [4, 10], [4, 10], [4, 10], [4, 10], [10], [4, 10], [10], [10]]
[[10], [10], [10], [10], [4, 4, 4, 4], [4, 10], [10], [7, 9], [10], [10], [10], [10], [9], [4, 4, 4, 4], [10], [10], [10], [10]]
[[10], [10], [9], [4, 4, 4], [10], [10], [7], [4, 10], [4, 9], [4, 4, 4], [4, 10], [10], [10], [10], [10], [10], [10], [10], [10]]
[[10], [10], [4, 10], [], [4, 7], [10], [4, 4, 4], [4, 10], [10], [4, 9], [10], [10], [4, 10], [10], [10], [9], [4, 10], [10], [10], []]
[[10], [10], [10], [10], [10], [10], [9], [10], [9], [10], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [], [10], [4, 4, 4], [7]]
[[9], [10], [10], [4, 4, 4], [4, 4, 4], [10], [10], [10], [4, 4], [10], [10], [10], [10], [10], [], [], [4, 7], [10], [10], [10], [9], [10]]
[[], [10], [10], [10], [10], [10], [10], [7], [9], [4, 4, 4], [10], [4, 4, 4], [10], [], [10], [10], [4, 4, 4], [10], [10], [10], [], [10], [9]]
[[10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [], [10], [9], [10], [10], [9], [7], [], [4, 4, 4], [], [], [10]]
[[9], [10], [], [10], [10], [10], [10], [4, 4, 4], [10], [], [4, 4, 4], [10], [7], [10], [], [10], [], [10], [4, 4, 4], [10], [10], [10], [9], [10], []]
[[10], [], [10], [9], [4], [], [10], [4, 4], [], [10], [4, 4], [], [9], [10], [4, 4], [10], [10], [10], [10], [7], [4, 4], [10], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [216], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 8, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9, 9, 9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9, 9, 9], [8], [6, 6, 6, 10, 10]]
[[8, 8, 8, 8, 8, 8], [8, 8], [8, 10, 10, 10, 10], [10, 10, 10], [6, 6, 6, 9, 9, 9], [5, 5, 5, 5, 9]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 10, 10, 10], [10, 10, 10, 10], [], [6, 9, 9], [5, 5, 5, 5, 9, 9]]
[[10, 10, 10], [6, 6, 6, 8, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [], [5, 5, 5, 5], [8, 8, 8, 8]]
[[6, 8, 8, 8], [8, 8, 8], [9, 10], [5, 5, 5, 5, 10], [10], [8, 10], [6, 6, 9, 10], [9, 9, 10], [8, 8, 10]]
[[8, 9, 10], [10, 10], [8, 8], [9, 9, 9], [10, 10], [10, 10], [5, 5, 5, 5], [6, 6, 6], [8, 8, 8], [8, 8, 8]]
[[6, 8, 8], [8, 8, 8], [8, 9, 9], [10], [10, 10], [6, 6, 9], [8, 8, 8], [10, 10], [9], [10, 10], [5, 5, 5, 5]]
[[8, 8, 8], [6, 6, 6], [10, 10], [5, 5, 5, 5], [10, 10], [8, 8, 8], [9, 9], [], [8, 8, 8], [9, 9], [10, 10], [10]]
[[8, 8], [8, 8], [8, 8], [8, 10], [10, 10], [10, 10], [6, 6, 6], [9, 9], [5, 5, 5, 5], [10, 10], [], [9, 9], [8, 8]]
[[10], [8], [8, 8], [6, 6, 6], [10, 10], [8, 8], [5, 5, 5, 5], [9, 9], [10, 10], [8, 8], [], [10, 10], [9, 9], [8, 8]]
[[8, 10], [8, 8], [10, 10], [5, 5, 5, 5], [8], [10, 10], [8, 8], [6, 6, 6], [], [8, 8], [], [9], [9, 9], [10, 10], [8, 9]]
[[8], [8, 8], [8, 8], [8, 8], [5, 10], [6, 6, 6], [10], [9, 9], [9, 9], [10], [10], [10], [10], [10], [5, 5, 5], [8, 8]]
[[5, 10], [8, 8], [8, 8], [8, 8], [10], [10], [10], [9], [5, 5, 5], [9], [10], [6, 9], [9], [6, 10], [8], [6, 10], [8, 8]]
[[5, 8], [8, 8], [8], [8, 8], [6, 8], [10], [10], [9], [10], [5, 5], [10], [10], [8, 8], [10], [9], [6, 9], [5, 9], [6, 10]]
[[6, 6], [5, 5, 5], [6, 10], [10], [10], [8, 8], [9], [5, 10], [9], [], [10], [8, 8], [10], [9], [9], [10], [8, 8], [8, 8], [8]]
[[10], [5, 8], [10], [10], [5, 8], [6, 8], [10], [5, 8], [10], [8], [9], [10], [5, 8], [8], [6, 8], [10], [9], [6, 8], [9], [9]]
[[9], [10], [5, 9], [10], [8], [5, 8], [9], [10], [8], [10], [8], [6, 8], [8], [10], [10], [10], [8], [8], [6, 6], [5, 9], [5, 8]]
[[6, 6], [9], [9], [10], [10], [5, 8], [6], [5, 8], [10], [9], [10], [5, 8], [10], [8], [9], [8], [5, 8], [8], [10], [8], [10], [8]]
[[5, 8], [5, 8], [8], [9], [10], [8], [10], [8], [5, 5], [10], [10], [6, 6], [8], [10], [9], [10], [9], [8], [10], [8], [9], [8], [6]]
[[8], [8], [8], [8], [8], [10], [10], [10], [8], [10], [5, 6], [9], [10], [5], [8], [6, 6], [10], [8], [9], [5, 5], [9], [9], [10], [8]]
[[8], [8], [8], [5, 5], [8], [8], [6], [8], [9], [9], [8], [10], [10], [10], [], [10], [5, 5], [6, 6], [10], [10], [9], [8], [10], [9], [8]]
[[8], [9], [8], [5, 5], [8], [8], [5, 5], [8], [9], [6], [6, 6], [10], [], [10], [], [10], [10], [8], [10], [8], [9], [10], [8], [9], [10], [8]]
[[5, 5], [8], [8], [6], [10], [10], [8], [8], [10], [9], [6], [8], [10], [8], [8], [], [10], [5, 5], [], [6], [10], [9], [8], [9], [10], [9], [8]]
-EndAllocation

Instance: [[1], [215], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [5, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 10], [5, 5, 5, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 7, 7, 9, 9, 9, 9], [5, 5, 5], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 9, 9, 9, 9], [8, 8], [7, 7, 10, 10, 10]]
[[6, 6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 10, 10], [9, 9, 9, 9], [5, 5, 5]]
[[6, 6, 8, 8, 8], [8, 8, 8, 8], [7, 9, 10, 10], [10, 10, 10, 10], [], [6, 9, 9, 9], [5, 5, 5, 7, 8, 8]]
[[6, 6, 6, 8], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [], [5, 5, 5, 7, 7], [8, 8, 8, 8]]
[[6, 6, 8, 8], [6, 8, 8], [8, 8], [5, 5, 5, 8], [10, 10, 10], [7, 7], [10, 10, 10], [9, 9, 9], [8, 8, 9]]
[[6, 6, 6, 10], [9, 10], [8, 8, 8], [9, 9, 9], [10, 10], [10, 10], [5, 5, 5], [8, 8, 8], [7, 7], [8, 8, 8]]
[[6, 6, 6], [8, 8, 8], [9, 9], [10, 10], [5, 5, 5], [9, 9], [8, 8, 8], [7, 7], [10, 10], [10, 10], [8, 8, 8]]
[[6, 6, 6], [7, 7], [10, 10], [8, 8, 8], [9, 9], [8, 8, 8], [], [5, 5, 5], [9, 9], [10, 10], [10, 10], [8, 8, 8]]
[[10, 10], [6, 8, 8], [7], [6, 8, 8], [7, 10], [10, 10], [10], [9, 9], [5, 5, 5], [8], [8, 8], [9, 9], [6, 8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 6, 6], [7, 7], [], [5, 5, 5], [10, 10], [10, 10], [8], [10, 10], [9, 9], [9, 9], [8, 8]]
[[6, 6, 6], [8], [7, 7], [5, 5, 5], [8, 8], [10, 10], [8, 8], [8, 8], [], [], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8]]
[[8, 8], [5, 6, 6], [6, 8], [8, 8], [7, 8], [9, 9], [10], [], [9, 9], [10], [10], [10], [10], [7, 10], [5, 5, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [6, 9], [6, 10], [6, 9], [10], [5, 5, 5], [7, 7], [10], [9], [10], [10], [10], [9], [8]]
[[6, 6], [6, 8], [8, 8], [8, 8], [8], [10], [9], [9], [10], [5, 5, 5], [9], [7, 9], [8, 8], [10], [10], [10], [10], [7, 8]]
[[6, 10], [8, 8], [8, 8], [5, 10], [6, 10], [6, 10], [10], [5, 9], [7, 7], [10], [], [], [9], [8, 8], [8], [], [9], [8, 8], [5, 9]]
[[5, 9], [10], [8], [5, 8], [6, 8], [9], [7, 7], [9], [10], [10], [10], [10], [6, 8], [9], [6, 8], [8], [8], [8], [5, 8], [10]]
[[9], [10], [8], [10], [8], [10], [10], [10], [7, 7], [5, 8], [5, 8], [5, 9], [6, 6], [8], [9], [9], [10], [8], [8], [8], [6, 8]]
[[6, 6], [5, 8], [9], [9], [5, 8], [10], [8], [10], [10], [9], [8], [6, 7], [7], [8], [10], [9], [8], [8], [10], [10], [8], [5, 8]]
[[9], [8], [8], [9], [5, 8], [10], [6], [10], [5, 5], [9], [8], [10], [10], [9], [6, 7], [6, 7], [8], [8], [8], [8], [10], [10], [8]]
[[8], [5, 7], [6, 6], [10], [8], [10], [10], [10], [8], [8], [10], [10], [9], [8], [9], [7], [9], [8], [9], [5, 5], [8], [6], [8], [8]]
[[8], [8], [7], [7], [8], [8], [8], [10], [6, 6], [6], [5, 5], [10], [8], [8], [10], [9], [10], [9], [10], [10], [9], [8], [9], [5], [8]]
[[5], [10], [10], [5, 7], [8], [6, 6], [10], [8], [9], [8], [10], [8], [8], [], [], [8], [5, 6], [8], [8], [8], [9], [9], [9], [7], [10], [10]]
[[5, 5], [8], [10], [8], [8], [9], [8], [6], [10], [7], [6], [10], [10], [8], [8], [], [5], [10], [8], [8], [7], [9], [9], [10], [9], [8], [6]]
-EndAllocation

Instance: [[1], [214], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[9, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5], [8, 8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 9, 9, 10, 10, 10, 10, 10]]
[[10], [9, 9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8], [10, 10, 10, 10, 10, 10, 10]]
[[10], [9, 10, 10, 10, 10], [9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 8, 10, 10, 10, 10]]
[[], [5, 9, 10, 10, 10], [8, 8, 9, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 10], [9, 10, 10, 10], [8, 8, 10, 10]]
[[], [10, 10], [5, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [9, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 8, 8, 9]]
[[], [5, 5, 5, 10], [9, 10, 10], [10, 10, 10], [8, 8], [10, 10, 10], [5, 5, 9, 10], [5, 5, 5, 5, 5], [10, 10, 10]]
[[], [10, 10], [5, 10, 10], [5, 5, 5, 5, 5], [10, 10], [9, 10, 10], [5, 5, 10], [5, 8, 8], [5, 10, 10], [9, 10, 10]]
[[], [9, 10], [9, 10], [10, 10], [10, 10], [10, 10], [8, 8, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [5, 5, 5, 5, 5]]
[[], [8], [5, 5, 5, 9], [5, 5, 5, 5], [10, 10], [5, 5, 5, 9], [10, 10], [8, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [5, 5, 10], [10, 10], [5, 5, 8], [10, 10], [5, 5, 5], [10, 10], [5, 10], [9], [10, 10], [9, 10], [5, 5, 8], [10, 10]]
[[], [10, 10], [5, 5, 10], [10, 10], [9, 10], [8, 10], [], [], [5, 5, 5, 5], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [8, 9]]
[[], [5, 5, 5], [10, 10], [10, 10], [], [9], [5, 5, 9], [10, 10], [10, 10], [8, 10], [5, 5, 8], [10, 10], [5, 5, 5], [10, 10], []]
[[10], [10], [5, 10], [10], [10], [5, 9], [5, 10], [8, 8], [5, 10], [5, 10], [5, 10], [5, 10], [5, 9], [5, 10], [5, 10], [10]]
[[10], [8, 8], [10], [10], [10], [5, 9], [5, 9], [10], [5, 10], [5, 10], [5, 10], [10], [10], [10], [5, 5, 5], [5, 10], [5, 10]]
[[10], [10], [5, 10], [9], [10], [10], [10], [5, 10], [5, 5, 5], [5, 10], [5, 10], [5, 9], [10], [5, 5], [10], [10], [8, 8], [10]]
[[10], [10], [5, 5, 5], [10], [5, 5, 5], [10], [9], [5, 5], [5, 10], [9], [8, 8], [10], [10], [10], [10], [10], [10], [10], [5, 10]]
[[10], [10], [5, 5], [10], [5, 8], [5, 5], [10], [10], [10], [5, 8], [5, 5], [10], [5, 9], [5, 9], [10], [10], [10], [10], [10], [10]]
[[10], [10], [10], [5, 5], [10], [9], [10], [5, 8], [10], [10], [10], [10], [10], [5, 5], [10], [8], [10], [10], [5, 5], [5, 9], [5, 5]]
[[10], [10], [10], [9], [10], [5, 5], [10], [10], [10], [8], [5], [9], [5, 5], [5, 5], [10], [10], [10], [10], [10], [5, 5], [5, 8], [10]]
[[10], [10], [9], [10], [5, 8], [5, 5], [10], [5, 8], [10], [5, 5], [10], [10], [10], [10], [], [10], [10], [9], [5, 5], [], [5, 5], [10], [10]]
[[10], [10], [9], [10], [8], [], [5, 5], [10], [5, 5], [10], [8], [10], [10], [9], [10], [5, 5], [10], [5, 5], [10], [10], [10], [], [10], [5, 5]]
[[10], [8], [5], [10], [5, 5], [5], [10], [10], [10], [10], [10], [10], [10], [10], [9], [9], [10], [10], [5, 5], [10], [8], [], [5, 5], [], [5, 5]]
[[10], [5, 5], [10], [10], [10], [], [10], [5], [10], [], [9], [], [10], [5, 5], [10], [5, 5], [5], [10], [8], [9], [10], [10], [10], [8], [5, 5], [10]]
[[], [10], [], [10], [], [], [10], [5, 5], [10], [10], [5, 5], [10], [5, 5], [10], [10], [9], [8], [10], [10], [10], [10], [8], [5, 5], [10], [9], [5, 5], []]
-EndAllocation

Instance: [[1], [213], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9], [5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 9, 9, 9], [6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10], [5, 5, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 8, 8], [5, 5, 7, 7, 9, 9, 9]]
[[8, 8, 8, 8, 9], [8, 8, 8, 8, 8, 8, 8], [7, 7], [10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 9, 9]]
[[8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 10], [9, 9, 9], [6, 6, 6, 6, 7, 7]]
[[8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8], [6, 6, 6, 6], [5, 5, 7, 7], [9, 9, 9, 10]]
[[8, 8, 8, 8], [10, 10, 10], [8, 8, 8], [6, 6, 6, 6], [5, 9, 9, 9], [7, 7], [5, 10, 10], [8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8], [5, 7, 7], [5, 6, 6, 6, 6], [], [10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8]]
[[8, 8, 8], [8, 8], [8, 8, 8], [6, 6, 6, 10], [6], [10, 10], [5, 5, 7, 7], [9, 9, 9], [10, 10], [8, 8, 8]]
[[8, 8, 8], [9, 9], [], [8, 8, 9], [6, 6, 6, 6], [7, 7, 10], [8, 8, 8], [10, 10], [5, 5], [10, 10], [8, 8, 8]]
[[8, 8, 8], [9, 10], [7, 7, 10], [9, 10], [9, 10], [8, 8, 8], [6, 6, 6, 6], [5, 5], [8, 8, 8], [], [10], [8, 8]]
[[10, 10], [6, 8, 8], [5, 8, 8], [5, 8, 8], [7, 7, 8], [8, 8], [], [10, 10], [6, 6, 6], [10], [9, 9], [9], [8, 8]]
[[5, 8, 8], [5, 8, 8], [8, 8], [6, 6, 9], [6, 10], [6, 10], [7, 7], [8, 8], [10], [10], [10], [9, 9], [8, 8], [8]]
[[8, 8], [8, 8], [6, 7, 7], [5, 5, 10], [8, 8], [10, 10], [8, 8], [8, 8], [6, 10], [10], [], [9], [9, 9], [], [6, 6, 8]]
[[6, 10], [8, 8], [8, 8], [8, 8], [5, 5, 8], [10], [10], [10], [8, 8], [], [7, 7], [9, 9], [9], [10], [6, 6, 6], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 8], [6, 10], [6, 10], [8, 8], [10], [10], [], [9], [5, 9], [9], [7, 10], [8, 8], [6, 6], [5]]
[[6, 10], [8, 8], [8, 8], [8, 8], [8, 8], [5, 10], [6, 9], [9], [5, 10], [6, 6], [7, 7], [8, 8], [10], [], [], [9], [10], [8]]
[[6, 10], [8, 8], [8, 8], [10], [8], [6, 9], [10], [5, 5], [9], [], [], [6, 10], [7, 7], [9], [8, 8], [], [8, 8], [8, 8], [6, 10]]
[[10], [9], [8], [10], [9], [6, 8], [10], [10], [6, 8], [6, 8], [9], [7, 7], [6, 8], [8], [8], [8], [8], [10], [5, 8], [5, 8]]
[[5, 7], [5, 8], [9], [6, 8], [6, 8], [8], [10], [8], [9], [8], [8], [8], [10], [8], [10], [10], [7], [6, 8], [6, 8], [9], [10]]
[[9], [5, 8], [10], [6, 6], [5, 8], [8], [8], [8], [10], [9], [8], [8], [8], [8], [6, 7], [10], [8], [8], [10], [9], [6, 7], [10]]
[[10], [5, 8], [8], [8], [8], [10], [8], [9], [5, 8], [6], [10], [8], [9], [10], [9], [7], [8], [8], [6, 7], [8], [10], [6, 6], [8]]
[[8], [8], [6, 6], [10], [10], [10], [8], [7], [6, 6], [9], [10], [8], [7], [8], [8], [8], [8], [9], [10], [5, 5], [9], [8], [8], [8]]
[[8], [7], [8], [7], [8], [8], [8], [6, 6], [10], [8], [8], [8], [10], [], [10], [9], [8], [5, 5], [10], [6, 6], [9], [8], [10], [9], [8]]
[[6, 6], [8], [8], [7], [8], [8], [8], [8], [9], [6, 6], [7], [10], [], [9], [], [10], [10], [5, 5], [8], [8], [9], [8], [8], [10], [10], [8]]
[[6], [8], [6], [8], [8], [8], [8], [8], [8], [8], [8], [7], [8], [10], [5], [10], [7], [10], [5], [10], [8], [6], [9], [6], [10], [9], [9]]
-EndAllocation

Instance: [[1], [212], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10, 10, 10, 10], [8, 9, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10]]
[[10], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9], [10, 10, 10, 10, 10], [8, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10], [8, 9, 9, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 9, 10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10, 10], [8, 10, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [4, 4, 10, 10], [9, 9, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 10], [10, 10, 10], [8], [4, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 8, 10], [10, 10], [9, 9, 10]]
[[10], [4, 4, 4, 4, 4, 4], [9, 9], [10, 10], [10, 10], [4, 4, 4, 10], [8, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10], [9, 9], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 4, 4, 8], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [8], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10], [10, 10], [9, 9], [4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [8, 10], [4, 4, 4, 4], [], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], []]
[[], [], [10, 10], [10, 10], [], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 8], [4, 10], [4, 4, 4, 4, 4], [10, 10], []]
[[10], [10], [4, 4, 10], [10], [4, 4, 10], [10], [4, 4, 10], [8, 10], [10], [10], [4, 10], [10], [9, 9], [10], [4, 4, 10], [10]]
[[10], [4, 10], [10], [4, 4, 9], [10], [4, 10], [8, 9], [4, 10], [4, 10], [10], [4, 10], [10], [10], [4, 10], [10], [4, 10], [10]]
[[10], [10], [10], [4, 9], [4, 10], [10], [10], [4, 10], [10], [4, 10], [10], [9], [4, 10], [10], [4, 10], [10], [4, 4, 8], [4, 10]]
[[10], [10], [10], [8], [10], [10], [9], [4, 10], [10], [4, 10], [9], [10], [10], [4, 10], [10], [4, 10], [4, 10], [10], [4, 4, 4, 4]]
[[10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [8], [4, 10], [10], [9], [9], [10], [4, 10], [10], [4, 10], [10], [10]]
[[10], [10], [4, 10], [10], [10], [9], [10], [10], [10], [10], [4, 4], [10], [10], [10], [10], [8], [10], [4, 4, 4], [10], [9], [4, 4, 4]]
[[], [10], [4, 4, 4], [9], [10], [10], [10], [10], [10], [8], [10], [9], [10], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10]]
[[10], [10], [9], [10], [4, 9], [10], [10], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [], [10], [10], [10], [10], [], [8], [10], [4, 4, 4]]
[[10], [10], [9], [10], [], [10], [10], [10], [10], [10], [8], [10], [10], [9], [10], [], [4, 4, 4], [4, 4, 4], [10], [10], [10], [], [10], [4, 4, 4]]
[[10], [8], [], [10], [10], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [10], [10], [], [9], [9], [], [10], [10], [10], [10], [], [10], [4, 4, 4], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [], [10], [], [9], [], [4, 4, 4], [], [10], [10], [], [10], [10], [9], [10], [4, 4, 4], [10], [8], [10], [10]]
[[], [10], [10], [10], [], [], [4, 4], [10], [10], [4], [4, 4], [4, 4], [10], [10], [10], [9], [10], [10], [4, 4], [10], [10], [8], [10], [10], [9], [10], []]
-EndAllocation

Instance: [[1], [211], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 10, 10, 10], [8, 8, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10, 10, 10, 10], [8, 8, 9, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10], [10, 10, 10, 10, 10], [8, 8, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10], [8, 8, 9, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 10, 10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10, 10], [8, 8, 10, 10]]
[[], [10, 10], [10, 10, 10], [4, 4, 4, 4, 10, 10], [9, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 8, 8]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [9, 10], [10, 10, 10], [8, 8], [4, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 8, 8], [10, 10], [9, 10, 10]]
[[], [4, 4, 4, 4, 4, 4], [9, 10], [10, 10], [10, 10], [4, 4, 4, 10], [8, 8, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [], [4, 9, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 8, 8], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [8, 8], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [], [10, 10], [9, 10], [4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [8, 8], [4, 4, 4, 4], [], [10, 10], [10, 10], [10, 10], [9, 10], [10, 10], []]
[[], [], [10, 10], [10, 10], [], [4, 4, 9], [10, 10], [10, 10], [10, 10], [10, 10], [4, 8, 8], [4, 10], [4, 4, 4, 4, 4], [10, 10], []]
[[10], [10], [8, 10], [10], [4, 4, 10], [10], [4, 4, 10], [8, 10], [10], [10], [4, 4, 10], [4, 10], [9], [10], [4, 4, 10], [10]]
[[10], [4, 10], [10], [4, 10], [10], [10], [4, 4, 9], [4, 10], [4, 10], [10], [4, 10], [10], [10], [4, 10], [8, 8], [4, 10], [10]]
[[10], [10], [10], [4, 9], [4, 10], [10], [10], [4, 10], [4, 4, 4, 4], [4, 10], [10], [10], [10], [10], [10], [10], [8, 8], [4, 10]]
[[10], [10], [8, 8], [10], [10], [10], [9], [4, 10], [10], [10], [10], [10], [4, 4, 4, 4], [10], [10], [10], [10], [10], [4, 4, 4, 4]]
[[10], [10], [10], [10], [4, 4, 4], [8], [10], [10], [4, 4, 4], [8], [10], [10], [10], [4, 9], [4, 10], [10], [10], [4, 10], [10], [10]]
[[10], [10], [4, 10], [10], [10], [10], [10], [8], [10], [10], [4, 4], [10], [10], [10], [10], [8], [10], [4, 4, 4], [10], [9], [4, 4, 4]]
[[], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [8], [10], [9], [10], [8], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10]]
[[10], [10], [9], [10], [4, 8], [10], [10], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [], [10], [10], [10], [10], [], [8], [10], [4, 4, 4]]
[[10], [10], [10], [10], [8], [], [10], [10], [10], [10], [8], [10], [10], [9], [10], [], [4, 4, 4], [4, 4, 4], [10], [10], [10], [], [10], [4, 4, 4]]
[[10], [8], [], [10], [10], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [10], [10], [10], [], [9], [], [10], [10], [10], [8], [], [10], [4, 4, 4], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4, 4], [], [10], [], [], [], [4, 4, 4], [10], [10], [10], [], [10], [8], [9], [10], [4, 4, 4], [10], [8], [10], [10]]
[[], [10], [10], [10], [], [], [4, 4], [10], [10], [4], [4, 4], [4, 4], [10], [10], [10], [9], [8], [10], [4, 4], [10], [10], [8], [10], [10], [10], [10], []]
-EndAllocation

Instance: [[1], [210], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[9, 9, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8, 9, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 9, 9, 10, 10], [5, 5, 5, 5, 8, 10], [10, 10, 10, 10, 10, 10, 10]]
[[10], [4, 4, 4, 4, 4, 4, 10, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 10, 10], [9, 9, 10, 10, 10]]
[[10, 10], [10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 10, 10], [4, 4, 4, 4, 4, 4, 9, 9], [8, 10, 10, 10]]
[[], [5, 5, 5, 5, 8], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4], [9, 9, 10, 10]]
[[], [5, 8, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 10], [5, 5, 5, 9, 9], [10, 10, 10]]
[[], [5, 5, 5, 5, 10], [10, 10, 10], [], [10, 10, 10], [9, 9, 10], [4, 4, 4, 4, 4, 4, 8], [10, 10, 10], [10, 10, 10]]
[[], [10, 10], [10, 10], [9, 9, 10], [10, 10], [5, 10, 10], [4, 4, 10, 10], [10, 10], [4, 4, 4, 4, 8], [5, 5, 5, 10]]
[[10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [8, 10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [9, 9]]
[[], [10, 10], [5, 5, 5, 5], [10, 10], [8, 10], [10, 10], [10, 10], [10], [9, 9], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10]]
[[], [9, 9], [10, 10], [10], [10, 10], [8, 10], [5, 5, 5, 5], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [4, 10], [10]]
[[], [4, 10], [10, 10], [8], [4, 4, 4, 4, 4], [10, 10], [5, 5, 5, 5], [10], [10, 10], [], [9, 9], [10, 10], [10, 10], [10, 10]]
[[10], [5, 10], [10], [10], [10], [10], [4, 4, 10], [4, 4, 10], [4, 4, 10], [5, 10], [5, 10], [5, 10], [8, 10], [10], [9, 9]]
[[10], [10], [10], [5, 10], [5, 10], [8, 10], [4, 4, 4, 4], [10], [5, 10], [4, 4, 10], [10], [10], [9, 9], [10], [5, 10], [10]]
[[10], [10], [4, 4, 4, 4], [4, 10], [5, 9], [10], [10], [10], [5, 10], [10], [8, 9], [10], [4, 10], [5, 10], [10], [5, 10], [10]]
[[10], [5, 5, 5], [5, 10], [10], [10], [10], [4, 10], [10], [4, 4, 8], [9], [9], [4, 10], [10], [4, 10], [10], [4, 10], [10], [10]]
[[10], [10], [4, 10], [10], [10], [10], [10], [10], [9], [10], [5, 8], [4, 4, 4, 4], [10], [4, 9], [5, 5, 5], [10], [10], [10], [10]]
[[10], [9], [8], [10], [10], [10], [4, 10], [10], [10], [10], [10], [9], [10], [5, 5], [10], [10], [4, 10], [10], [4, 4, 4], [4, 5, 5]]
[[10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [9], [5, 5], [10], [10], [10], [10], [10], [8], [10], [10], [9], [10], [5, 5], [10]]
[[10], [8], [10], [10], [10], [10], [4, 4, 4], [9], [10], [5, 5], [10], [10], [10], [10], [], [5, 5], [4, 4, 4], [10], [10], [10], [9], [10]]
[[9], [10], [10], [8], [10], [10], [10], [10], [9], [5, 5], [10], [4, 4, 4], [10], [10], [10], [10], [10], [], [5, 5], [4, 4, 4], [10], [], [10]]
[[10], [4, 4, 4], [], [10], [10], [10], [10], [10], [10], [], [], [4, 4, 4], [10], [10], [10], [5, 5], [10], [10], [10], [10], [5, 5], [9], [9], [8]]
[[10], [4, 4, 4], [10], [10], [10], [], [10], [10], [4, 4, 4], [8], [10], [9], [], [], [], [5, 5], [10], [10], [9], [10], [5, 5], [10], [10], [10], [10]]
[[9], [10], [10], [], [], [], [10], [5, 5], [10], [10], [], [8], [10], [10], [], [9], [5, 5], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [4, 4, 4]]
[[10], [10], [10], [], [8], [5, 5], [9], [], [10], [10], [4, 4], [], [], [9], [4, 4], [10], [10], [10], [10], [10], [5, 5], [10], [10], [4, 4], [], [10], [10]]
-EndAllocation

Instance: [[1], [209], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 3, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,27. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 5, 6, 6, 6, 9, 9, 9, 10, 10, 10, 10, 10], [3, 3, 3, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10]]
[[2, 3, 3, 3, 6, 6, 6, 9], [9, 9, 10, 10, 10, 10, 10, 10, 10], [5, 8, 8, 8, 8, 8, 8, 10, 10, 10]]
[[2, 3, 3, 6, 6, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8, 8, 10], [10, 10, 10, 10], [5, 6, 9, 9, 9]]
[[2, 3, 3, 9, 9, 9, 10, 10], [3, 10, 10, 10, 10], [6], [6, 8, 8, 8, 8, 8, 8], [5, 6, 10, 10, 10, 10]]
[[2, 3, 3, 3, 8, 8, 10], [8, 8, 8, 8, 10], [9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [5, 6, 6, 6]]
[[2, 3, 3, 3, 8, 8], [9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10], [6, 6, 6], [5, 8, 8, 8, 8]]
[[2, 3, 3, 3, 8, 8, 8], [5, 6, 10, 10], [6, 9, 9, 9], [6, 10, 10, 10], [10, 10, 10], [], [8, 8, 8], [10, 10]]
[[2, 3, 3, 3, 5, 8, 8], [10, 10, 10], [10], [6, 6, 6], [], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8]]
[[2, 8, 8, 8], [3, 3, 10, 10], [3, 5, 8, 10], [], [10, 10], [6, 6, 6], [10, 10], [10, 10], [9, 9, 9], [8, 8, 10]]
[[3, 3, 3, 5, 10], [2, 9, 10], [], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 6], [9, 9], [10, 10]]
[[2, 10, 10], [9, 10], [8, 8, 8], [10, 10], [10, 10], [8, 8, 8], [9, 9], [5], [6, 6, 6], [3, 3, 3, 10], [10, 10], []]
[[2, 10, 10], [8, 8], [5, 8], [10, 10], [10, 10], [6, 6, 6], [10, 10], [], [8, 8], [10, 10], [9], [9, 9], [3, 3, 3, 8]]
[[2, 3, 3, 3, 5], [8, 8], [8, 8], [], [9, 10], [6, 6, 6], [10, 10], [10, 10], [10, 10], [9], [], [8, 8], [9, 10], [10, 10]]
[[2, 8, 8], [3, 3, 10], [10], [10], [10], [8, 8], [8, 10], [6, 9], [3, 5, 6], [10], [10], [10], [9, 9], [6, 10], [8, 10]]
[[2, 3, 3, 3], [8, 8], [5, 8], [6, 10], [10], [10], [9], [10], [10], [10], [8, 8], [10], [9, 9], [6, 10], [6, 10], [8, 10]]
[[2, 10], [8, 9], [5, 8], [8, 9], [8, 9], [8], [10], [10], [6, 6], [10], [10], [10], [10], [10], [10], [6, 10], [3, 3, 3, 8]]
[[2, 3, 10], [8, 8], [3, 3, 10], [10], [6, 10], [], [10], [9], [10], [10], [10], [9], [8, 8], [10], [10], [6, 9], [5, 6], [8, 8]]
[[3, 10], [6, 8], [3, 9], [9], [10], [10], [6, 8], [10], [10], [9], [10], [3, 10], [2, 8], [5, 8], [8], [10], [6, 8], [10], [10]]
[[3, 3, 8], [3, 8], [5, 9], [10], [10], [6, 8], [10], [9], [10], [9], [10], [10], [10], [2, 8], [8], [6, 8], [10], [10], [10], [6]]
[[3, 8], [3, 10], [3, 8], [9], [6], [8], [10], [10], [8], [10], [10], [10], [9], [10], [6, 6], [10], [10], [8], [10], [5, 8], [2, 9]]
[[2, 10], [5, 8], [8], [8], [6], [8], [10], [10], [10], [6, 6], [10], [10], [10], [8], [9], [3, 3, 3], [10], [9], [8], [9], [10], [10]]
[[8], [8], [8], [10], [8], [9], [6], [], [9], [10], [10], [10], [10], [10], [9], [10], [10], [10], [8], [5, 8], [10], [6, 6], [2, 3, 3, 3]]
[[2, 8], [8], [10], [10], [8], [8], [10], [], [6, 6], [8], [10], [3, 3, 3], [10], [10], [10], [9], [10], [10], [9], [6], [10], [9], [8], [5]]
[[2, 9], [3, 3, 3], [8], [8], [8], [8], [], [8], [10], [9], [6, 6], [10], [10], [10], [10], [5, 6], [10], [9], [10], [10], [], [8], [10], [10], []]
[[2], [8], [], [8], [10], [8], [10], [10], [9], [10], [10], [10], [10], [10], [9], [9], [10], [8], [8], [5, 6], [6, 6], [10], [8], [], [], [3, 3, 3]]
[[10], [10], [2, 8], [6], [10], [10], [8], [9], [10], [6], [3, 3, 3], [10], [10], [8], [9], [], [], [], [5], [6], [10], [8], [10], [9], [8], [10], [8]]
-EndAllocation

Instance: [[1], [224], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [10, 10, 10, 10, 10, 10, 10], [8, 8, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9]]
[[], [10, 10, 10, 10, 10, 10], [8, 8, 9, 9, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10]]
[[10, 10], [10], [8, 8, 9, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 9, 10, 10], [5, 5, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [8, 8, 9, 9], [10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 10, 10]]
[[], [10, 10, 10], [5, 5, 5, 5, 5, 5], [5, 8, 8, 10], [10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 9, 9], [10, 10, 10]]
[[], [9, 9, 10], [], [8, 8, 10], [10, 10, 10], [10, 10], [5, 5, 5, 5, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5], [10, 10, 10]]
[[], [10, 10], [5, 5, 5, 5, 5], [8, 9, 9], [10, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [10, 10], [8, 10, 10]]
[[], [10, 10], [5, 5, 5, 5, 5], [10, 10], [5, 8, 8], [10, 10], [10, 10], [5, 10, 10], [10, 10], [10], [5, 5, 5, 10], [9, 9]]
[[], [10, 10], [10, 10], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10], [5], [10, 10], [5, 8, 8], [10, 10], [5, 5, 5, 5], [10, 10]]
[[], [9, 9], [10, 10], [10], [8, 8], [], [5, 5, 5, 5], [10, 10], [5, 5, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10]]
[[], [10, 10], [5, 5, 5, 5], [5, 5, 5, 5], [], [10, 10], [10], [9, 9], [8, 8], [10, 10], [10, 10], [10, 10], [], [10, 10], [5, 5, 10]]
[[10], [8, 10], [5, 10], [5, 10], [8, 10], [5, 10], [5, 5, 5], [10], [10], [5, 10], [10], [10], [5, 10], [5, 10], [9, 9], [5, 10]]
[[10], [10], [10], [5, 10], [5, 10], [9, 9], [5, 5, 5], [8, 10], [8, 10], [10], [10], [10], [5, 10], [10], [10], [5, 5, 5], [5, 10]]
[[10], [5, 10], [5, 10], [10], [10], [5, 10], [10], [10], [8, 9], [10], [10], [8, 9], [10], [10], [10], [5, 10], [5, 5, 5], [5, 5, 5]]
[[10], [10], [5, 9], [5, 10], [5, 10], [5, 5, 5], [10], [5, 10], [10], [8, 8], [5, 5, 5], [10], [9], [10], [10], [10], [10], [10], [10]]
[[10], [10], [10], [5, 10], [10], [5, 9], [10], [10], [], [5, 9], [10], [10], [5, 10], [10], [10], [5, 5, 5], [10], [10], [8, 8], [5, 5, 5]]
[[10], [10], [5, 8], [10], [10], [10], [10], [10], [10], [5, 5], [10], [5, 9], [10], [5, 8], [10], [10], [5, 9], [10], [10], [5, 5], [5, 5]]
[[10], [10], [10], [10], [10], [8], [10], [10], [10], [10], [10], [5, 5], [10], [5, 5], [5, 9], [9], [5, 5], [5, 8], [10], [10], [5, 5], [10]]
[[10], [10], [5, 5], [10], [10], [10], [10], [10], [9], [10], [10], [5, 5], [10], [8], [10], [5, 5], [10], [5, 5], [10], [9], [5, 8], [5], [10]]
[[10], [10], [10], [5, 5], [10], [10], [5, 5], [9], [10], [8], [10], [9], [5, 5], [5, 5], [10], [10], [8], [10], [10], [], [5, 5], [10], [10], [10]]
[[10], [10], [10], [], [10], [10], [9], [10], [5, 5], [10], [5, 5], [8], [10], [], [9], [10], [10], [10], [8], [10], [10], [5, 5], [5, 5], [5, 5], [10]]
[[10], [10], [10], [10], [5, 5], [8], [5, 5], [5, 5], [], [10], [10], [10], [8], [5, 5], [10], [9], [10], [9], [10], [10], [10], [10], [], [10], [], [5, 5]]
[[10], [10], [8], [10], [8], [10], [9], [10], [5, 5], [10], [10], [9], [10], [], [5, 5], [10], [5, 5], [10], [10], [10], [], [5, 5], [10], [10], [5, 5], [], []]
[[10], [9], [], [10], [10], [10], [], [10], [], [10], [10], [5, 5], [9], [10], [10], [10], [8], [5, 5], [], [10], [10], [5, 5], [10], [5, 5], [8], [], [10], [5, 5]]
-EndAllocation

Instance: [[1], [223], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [5, 5, 7, 7, 7]]
[[7, 7, 7, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9, 9, 10], [5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 8, 8, 9], [], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 9, 9, 9]]
[[6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 10], [6, 6, 9, 9, 9, 9], [7, 7, 7]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 6, 7, 7, 7], [10, 10, 10, 10], [], [6, 6, 6, 10, 10], [5, 9, 9, 9, 9]]
[[5, 8, 8, 8, 8], [6, 6], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [6, 6, 7, 7, 7], [8], [5, 8, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 7, 7, 9], [6, 6, 6, 6, 7], [], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8]]
[[6, 9], [8, 8, 8], [8, 8, 8], [], [5, 5, 6, 6, 6], [10, 10, 10], [7, 7, 7], [9, 9, 9], [10, 10, 10], [8, 8, 8]]
[[6, 9, 10], [8, 8, 10], [9, 9, 9], [10, 10], [7, 7, 7], [], [8, 8, 8], [8, 10, 10], [5, 5, 6, 6, 6], [], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [10, 10], [5, 6, 6], [10, 10], [5, 9, 9], [7, 7, 7], [9], [6, 6, 9], [10, 10], [], [8, 8, 8]]
[[9], [6, 6, 6, 6], [10, 10], [10], [10, 10], [5, 5], [9, 10], [8, 8, 8], [], [9, 9], [7, 7, 7], [8, 8, 8], [8, 8, 8]]
[[8, 8], [8, 8], [9, 10], [6, 7, 7], [8], [7, 9], [10, 10], [8, 8], [9, 10], [5, 5], [10, 10], [9], [6, 6, 6], [8, 8]]
[[], [8, 8], [8], [9, 10], [6, 6, 6], [9], [9, 9], [5, 7, 7], [10, 10], [5, 6, 7], [10], [8, 8], [8, 8], [10, 10], [8, 8]]
[[5, 10], [8, 8], [8, 8], [7, 7], [5, 6, 7], [9, 9], [10], [8, 8], [10], [10], [8, 10], [6, 6, 6], [9], [8, 8], [10], [9]]
[[8, 8], [8, 8], [8, 8], [5, 6], [9, 9], [7, 8], [], [10], [7, 7], [9, 9], [10], [8, 8], [10], [5, 10], [10], [6, 6, 6], [10]]
[[8, 8], [8, 8], [8, 8], [7, 10], [6, 9], [6, 10], [10], [9], [7, 9], [6, 6], [8, 8], [], [10], [10], [5, 5], [10], [7, 9], [8]]
[[6, 8], [5, 9], [8, 8], [8, 8], [9], [], [], [9], [8, 8], [10], [6, 6], [10], [10], [6, 10], [7, 9], [10], [5, 10], [7, 7], [8, 8]]
[[7], [6, 6], [8], [6, 6], [10], [8, 8], [9], [5, 5], [10], [9], [10], [9], [9], [8, 8], [10], [10], [7, 7], [8, 8], [8, 8], [10]]
[[10], [10], [6, 8], [10], [6, 8], [6, 8], [9], [9], [8], [7, 7], [8], [7], [9], [10], [9], [8], [10], [6, 8], [5, 8], [5, 8], [10]]
[[5, 8], [6, 8], [10], [10], [6, 8], [10], [], [10], [10], [6, 8], [9], [9], [9], [8], [8], [10], [9], [8], [7, 7], [7], [6, 8], [5, 8]]
[[9], [5, 8], [8], [10], [10], [8], [8], [9], [9], [8], [10], [9], [6, 7], [10], [8], [10], [8], [7], [6, 6], [8], [10], [6, 7], [5, 8]]
[[9], [5, 8], [5, 8], [6, 6], [6, 7], [8], [8], [8], [], [8], [10], [10], [10], [10], [8], [8], [9], [9], [7], [9], [8], [10], [6, 7], [10]]
[[8], [8], [8], [6], [10], [8], [8], [8], [10], [6], [10], [10], [5, 7], [5, 7], [7], [10], [8], [9], [8], [9], [6, 6], [9], [10], [9], [8]]
[[8], [8], [8], [8], [8], [6, 6], [8], [], [8], [6, 6], [9], [5, 5], [7], [10], [9], [9], [10], [10], [10], [7], [7], [10], [8], [10], [8], [9]]
[[10], [8], [8], [8], [8], [8], [8], [8], [7], [10], [6, 6], [10], [9], [5, 5], [10], [], [6, 6], [7], [10], [9], [8], [9], [], [8], [9], [10], [7]]
[[5], [10], [8], [8], [8], [8], [8], [8], [6], [8], [10], [9], [9], [10], [5], [10], [10], [6], [8], [7], [10], [7], [9], [6], [7], [9], [6], [8]]
-EndAllocation

Instance: [[1], [222], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10], [10, 10, 10, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9]]
[[], [10, 10, 10, 10, 10, 10], [9, 9, 9, 10, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 10, 10], [5, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [9, 9, 9, 10], [5, 5, 5, 10], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 9, 9, 9], [10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 10, 10]]
[[], [10], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 9, 9, 9], [10, 10, 10]]
[[], [9, 9, 9], [], [10, 10, 10], [10, 10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10, 10], [5, 5, 5, 5, 5, 5], [10, 10, 10]]
[[], [10, 10], [5, 5, 5, 5, 5], [9, 9, 9], [10, 10], [5, 5, 5, 5, 5], [10, 10], [5, 10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [5, 5, 5, 5, 5], [10, 10], [5, 10, 10], [10, 10], [10, 10], [5, 10, 10], [5, 10, 10], [], [5, 5, 5, 9], [9, 9]]
[[], [10, 10], [10, 10], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10], [], [10, 10], [5, 5, 5, 5], [10, 10], [5, 5, 5, 9], [10, 10]]
[[], [9, 9], [10, 10], [], [10, 10], [9], [5, 5, 5, 5], [10, 10], [5, 5, 5], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10]]
[[], [10, 10], [5, 5, 5, 5], [5, 5, 5, 5], [], [9, 10], [10], [9, 9], [5, 5, 5], [10, 10], [10, 10], [10, 10], [], [10, 10], [10, 10]]
[[10], [10], [5, 10], [5, 10], [5, 10], [5, 9], [5, 10], [10], [10], [5, 10], [5, 10], [5, 10], [5, 10], [5, 10], [9, 9], [5, 10]]
[[10], [10], [5, 10], [5, 10], [5, 10], [9, 9], [5, 10], [10], [5, 9], [10], [10], [10], [5, 10], [5, 10], [10], [5, 5, 5], [5, 10]]
[[10], [5, 10], [5, 9], [5, 10], [10], [5, 10], [10], [10], [5, 9], [10], [10], [5, 5, 5], [10], [10], [10], [5, 10], [5, 9], [5, 10]]
[[10], [10], [5, 9], [5, 10], [5, 10], [5, 5, 5], [10], [5, 10], [10], [10], [5, 5, 5], [5, 10], [9], [10], [10], [10], [10], [10], [9]]
[[10], [10], [10], [5, 10], [10], [9], [10], [10], [9], [5, 9], [10], [10], [5, 10], [10], [10], [5, 5], [10], [10], [5, 5, 5], [5, 5, 5]]
[[10], [10], [10], [10], [10], [10], [10], [10], [10], [5, 5], [10], [5, 9], [10], [10], [5, 5], [10], [5, 9], [10], [5, 9], [5, 5], [5, 5]]
[[10], [10], [10], [10], [10], [10], [9], [10], [10], [10], [10], [5, 5], [10], [5, 5], [5, 9], [9], [5, 5], [5, 5], [10], [10], [5, 5], [10]]
[[10], [10], [5, 5], [10], [10], [10], [10], [10], [9], [9], [10], [5, 5], [10], [10], [10], [5, 5], [10], [5, 5], [10], [9], [5, 5], [5], [10]]
[[10], [10], [10], [5, 5], [10], [10], [5, 5], [5, 5], [10], [9], [10], [9], [5, 5], [5, 5], [10], [10], [5], [10], [10], [], [9], [10], [10], [10]]
[[10], [10], [10], [], [10], [10], [9], [5], [5, 5], [10], [5, 5], [10], [10], [], [9], [10], [9], [10], [10], [10], [10], [5, 5], [5, 5], [5, 5], [10]]
[[10], [10], [10], [10], [5, 5], [], [5, 5], [5, 5], [10], [10], [5], [9], [10], [5, 5], [10], [9], [10], [9], [10], [10], [10], [10], [], [10], [], [5, 5]]
[[10], [5], [10], [10], [10], [10], [9], [10], [5, 5], [10], [10], [9], [10], [], [5, 5], [10], [5, 5], [10], [10], [10], [], [5, 5], [9], [10], [5, 5], [], []]
[[10], [9], [], [10], [5], [10], [], [10], [], [10], [10], [5, 5], [9], [10], [10], [10], [10], [5, 5], [], [10], [10], [5, 5], [9], [5, 5], [10], [], [10], [5, 5]]
-EndAllocation

Instance: [[1], [221], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 6, 6, 6, 6, 7, 7], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 9, 9, 9, 9], [6, 6, 6, 6], [7, 7, 10, 10, 10, 10, 10, 10]]
[[8, 8], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [7, 7, 9, 9, 9, 9]]
[[8, 8, 8], [6, 6, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 10, 10], [6, 6]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10], [6, 6, 6, 6], [7, 7, 9], [5, 5, 5, 9, 9, 9]]
[[5, 5, 5, 8, 8], [6, 6, 6, 6, 8], [], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [7, 7, 8, 8], [8, 8, 8, 8]]
[[8], [8, 8, 8, 8], [6, 6, 6, 6, 9], [10, 10, 10], [10, 10, 10], [], [5, 5, 5, 7, 7], [9, 9, 9], [8, 8, 8, 8]]
[[8, 8, 8], [7], [8, 8, 8], [], [5, 6, 6, 6, 6], [10, 10, 10], [5, 5, 7, 9], [9, 9, 9], [10, 10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [9, 9, 9], [10, 10], [10, 10], [7, 7, 9], [], [10, 10], [6, 6, 6, 6], [5, 5, 5], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 9], [10, 10], [8, 8, 8], [7, 7, 9], [9], [6, 6, 9], [10, 10], [], [5, 5, 5]]
[[8, 10], [5, 8, 8], [6, 6, 6], [8, 8], [9, 9], [7, 7], [], [10, 10], [10, 10], [9, 9], [8, 8], [5, 5, 10], [6, 8, 8]]
[[5, 8, 8], [6, 7, 7], [], [], [8, 8], [6, 6, 6], [10, 10], [9, 9], [8], [10, 10], [10, 10], [9, 9], [5, 8, 8], [5, 8, 8]]
[[5, 6], [8, 8], [7, 7], [10, 10], [9, 9], [10, 10], [8, 8], [6, 6, 6], [], [], [8, 8], [8, 8], [9, 9], [10, 10], [5, 5, 8]]
[[8, 8], [8, 8], [5, 5, 6], [6, 6, 6], [5, 7], [9, 9], [7, 10], [8, 8], [9, 9], [10], [10], [8, 10], [10], [10], [8, 8], []]
[[8, 9], [5, 5, 6], [5, 8], [10], [8], [6, 10], [8, 9], [8, 9], [7, 7], [8, 9], [10], [6, 8], [10], [8], [10], [6, 10], [8]]
[[8], [8, 8], [8, 8], [6, 9], [8, 8], [7, 10], [5, 5, 5], [6], [6, 10], [7, 9], [10], [], [9], [10], [10], [10], [6, 9], [8, 8]]
[[5, 5, 5], [6, 10], [6, 10], [6, 10], [8, 8], [8, 8], [9], [10], [7, 7], [8], [6, 9], [9], [8, 8], [10], [8], [], [10], [8], [9]]
[[5, 5, 5], [10], [8, 8], [7, 7], [9], [10], [], [8, 8], [6, 10], [8], [8], [9], [], [6, 10], [8, 8], [9], [10], [10], [6, 8], [6, 9]]
[[7, 7], [10], [5, 8], [5, 8], [8], [9], [6, 8], [10], [6, 8], [9], [6, 8], [5], [10], [8], [9], [10], [10], [10], [9], [6, 8], [8]]
[[5, 9], [6, 8], [10], [10], [10], [6, 8], [6, 8], [8], [], [9], [7, 7], [8], [8], [10], [9], [10], [5, 5], [8], [8], [9], [6, 8], [10]]
[[5, 8], [10], [5, 8], [5, 8], [8], [6, 6], [10], [7], [6, 6], [9], [10], [10], [9], [10], [8], [9], [10], [7], [8], [8], [8], [8], [9]]
[[5, 5], [6, 7], [5, 8], [8], [9], [10], [9], [9], [6, 6], [8], [9], [10], [10], [6], [8], [8], [10], [10], [8], [10], [8], [8], [8], [7]]
[[8], [8], [8], [8], [5, 7], [8], [6, 6], [5, 5], [9], [10], [10], [], [7], [10], [8], [6, 6], [10], [9], [8], [8], [9], [8], [10], [9], [10]]
[[10], [5, 5], [6], [5], [6], [8], [8], [8], [9], [8], [7], [6, 6], [10], [8], [9], [10], [8], [8], [10], [8], [9], [9], [8], [10], [10], [7]]
[[5, 5], [8], [8], [8], [8], [7], [5, 6], [6, 6], [6], [], [9], [10], [9], [], [9], [10], [7], [10], [8], [10], [10], [8], [8], [9], [8], [10], [8]]
[[8], [5, 5], [6], [6], [8], [8], [8], [8], [10], [8], [7], [9], [10], [], [5], [10], [10], [9], [8], [7], [6], [10], [8], [6], [10], [9], [9], [8]]
-EndAllocation

Instance: [[1], [220], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 7, 7], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6], [5, 5, 5, 5, 10, 10, 10, 10, 10]]
[[7, 10, 10, 10, 10, 10], [6, 6, 6, 7], [8, 8, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10]]
[[8, 8, 8, 8, 8, 9], [8, 8, 8, 8], [10, 10, 10, 10], [10, 10], [5, 5, 5, 5, 7, 7, 9], [6, 6, 6, 9, 9]]
[[5, 5, 5, 5, 8, 8], [8, 8, 8, 8, 8], [7, 7, 8, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 8], [9, 9, 9, 9]]
[[5, 5, 5, 8, 8], [5, 10], [9, 9, 9, 9], [6, 6, 6, 8, 10], [7, 7, 10], [8, 8, 8, 10], [10], [8, 8, 8, 10]]
[[5, 5, 5, 8, 8], [8, 8, 8, 8], [8, 8, 8], [10, 10, 10], [], [9, 9, 9], [6, 6, 6, 7, 7], [10, 10, 10], [5, 9]]
[[5, 8, 8, 8], [5, 8, 8, 8], [10, 10], [6, 6, 6, 7], [], [10, 10], [8, 8, 8], [7, 9, 9], [10, 10], [5, 5, 9, 9]]
[[5, 10, 10], [7, 7, 9], [10, 10], [6, 9], [6, 6, 9], [5, 5, 5, 8], [8, 8, 8], [10, 10], [], [8, 8, 8], [8, 8, 9]]
[[8, 8, 8], [8, 8, 8], [5, 6, 6, 6], [5, 10, 10], [5, 9, 9], [5, 10], [9, 9], [], [10, 10], [7, 7, 10], [], [8, 8, 8]]
[[5, 8, 8], [5, 5, 8], [10, 10], [10], [10, 10], [5, 10], [9, 9], [6, 8, 8], [8, 8], [8, 8], [7], [9, 9], [6, 6, 7]]
[[5, 8, 8], [7, 10], [8, 8], [7, 9], [5, 8, 8], [8, 8], [10], [10], [6, 10], [6, 6, 9], [10], [10], [9, 9], [5, 5, 8]]
[[5, 5, 5, 5], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [6, 6, 6], [9, 9], [9, 9], [], [], [7, 7], [8, 8], [10, 10], [8]]
[[8, 8], [8, 8], [7, 8], [7, 8], [5, 10], [5, 6, 6], [6, 10], [9], [5, 9], [9], [10], [8, 10], [10], [5, 9], [10], [8, 8]]
[[8, 8], [8, 9], [8, 8], [5, 6, 6], [6, 10], [10], [10], [9], [7, 7], [5, 5, 5], [10], [9], [9], [10], [8, 8], [10], [8, 8]]
[[8, 8], [5, 6, 6], [7, 8], [6, 7], [8, 8], [9], [10], [5, 5, 5], [10], [9], [8, 8], [10], [10], [10], [10], [9], [9], [8, 8]]
[[6, 6], [5, 7], [8, 8], [10], [], [8, 8], [10], [9], [], [8], [5, 10], [5, 10], [10], [5, 9], [7, 9], [8, 8], [10], [8, 8], [6, 9]]
[[5, 8], [8], [9], [6, 8], [5, 8], [10], [7, 7], [9], [5, 9], [5, 9], [6, 8], [10], [8], [10], [8], [8], [10], [10], [10], [6, 8]]
[[5, 8], [6, 7], [8], [10], [9], [8], [8], [5, 9], [6, 8], [10], [10], [10], [9], [7], [10], [6, 8], [10], [8], [9], [5, 8], [5, 8]]
[[5, 8], [5, 8], [5, 8], [6, 7], [10], [10], [10], [6, 6], [10], [8], [7], [9], [8], [5, 8], [8], [10], [8], [8], [10], [9], [9], [9]]
[[5, 7], [5, 8], [10], [5], [6, 7], [5, 8], [10], [9], [10], [8], [9], [9], [8], [10], [6, 6], [8], [10], [8], [8], [9], [8], [8], [10]]
[[6, 6], [5, 8], [9], [10], [5, 6], [9], [8], [8], [9], [8], [10], [8], [10], [], [8], [8], [8], [10], [8], [10], [10], [9], [5, 7], [5, 7]]
[[5, 5], [8], [8], [8], [10], [10], [5, 5], [8], [9], [10], [8], [8], [8], [7], [8], [8], [6], [10], [10], [10], [9], [9], [6, 6], [9], [7]]
[[8], [8], [8], [8], [6, 6], [5, 6], [7], [5], [9], [8], [7], [10], [8], [10], [9], [10], [10], [], [9], [8], [9], [10], [8], [5, 5], [10], [8]]
[[8], [8], [8], [5, 5], [8], [6], [8], [8], [8], [], [10], [6, 6], [], [10], [9], [9], [9], [10], [7], [9], [8], [5, 5], [10], [8], [10], [10], [7]]
[[6], [10], [8], [8], [8], [5], [8], [8], [10], [8], [7], [9], [9], [6], [10], [7], [10], [9], [10], [8], [5], [6], [8], [], [5, 5], [9], [10], [8]]
-EndAllocation

Instance: [[1], [219], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 9, 10, 10, 10], [6, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 10], [6, 6, 6], [5, 5, 5, 5, 5, 10, 10, 10, 10]]
[[7, 10, 10, 10, 10, 10], [6, 6, 6, 8], [8, 8, 9], [5, 5, 5, 5, 5, 8, 8, 8, 8], [7, 7, 10, 10, 10, 10]]
[[7, 8, 10, 10], [8, 8, 8, 8, 8, 8], [9], [10, 10, 10, 10], [7, 7, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6]]
[[6, 7, 7, 8], [8, 8, 8, 8, 8], [7, 10, 10, 10], [8, 10, 10, 10], [], [6, 6, 10, 10, 10], [5, 5, 5, 5, 5, 9]]
[[8, 8, 8, 8], [6, 7, 10, 10], [9], [10, 10], [7, 7, 10, 10], [8, 8, 8, 10], [10, 10], [5, 5, 5, 5, 5, 6, 6]]
[[10, 10, 10], [8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [], [6, 9], [6, 6, 7, 7, 7], [10, 10, 10], [5, 5, 5, 5, 5]]
[[], [8, 8, 8], [7, 7, 7, 8], [6, 6, 6, 10], [9, 10, 10], [10, 10], [8, 8, 8], [10, 10], [10, 10], [5, 5, 5, 5, 5]]
[[10, 10], [7, 10], [9, 10], [10], [7, 7, 10], [8, 10], [8, 8, 8], [10, 10], [6, 6, 6], [5, 5, 5, 5, 5], [8, 8, 8]]
[[8, 8, 8], [5, 5, 10], [6, 8, 9], [10], [7, 10], [10], [10], [10], [6, 6, 10], [7, 7, 10], [8, 8, 8], [5, 5, 5, 10]]
[[5, 8, 8], [6, 7, 8], [10, 10], [7], [8, 10], [6, 6, 10], [], [10, 10], [8, 8], [8, 10], [7, 10], [9, 10], [5, 5, 5, 5]]
[[5, 6, 10], [8, 8], [8, 8], [6, 6, 8], [8, 8], [5, 5, 5, 5], [9], [7, 10], [7], [10, 10], [10, 10], [10, 10], [], [7, 10]]
[[8, 8], [], [5, 5, 10], [5, 5, 10], [8, 10], [9, 10], [8, 8], [10], [7, 10], [10], [10], [5, 7, 7], [8, 8], [10], [6, 6, 6]]
[[7, 9], [8, 8], [5, 10], [8, 8], [5, 6, 6], [6, 10], [8, 10], [10], [10], [7, 7], [10], [10], [10], [10], [5, 5, 5], [8, 8]]
[[8], [10], [8, 8], [8, 8], [10], [7, 10], [5, 7], [6, 10], [7, 10], [5, 9], [10], [], [10], [6, 10], [5, 5, 5], [6, 10], [8, 8]]
[[5, 10], [8], [5, 8], [6, 10], [7, 8], [7, 10], [7, 10], [5, 5, 5], [10], [8], [10], [6, 6], [10], [10], [8], [8, 9], [10], [8]]
[[5, 8], [8, 8], [10], [10], [10], [8, 8], [10], [10], [6, 6], [10], [6, 10], [10], [7, 7], [], [7], [9], [5, 10], [8, 8], [5, 5, 5]]
[[10], [5, 8], [5, 7], [10], [5, 5], [6, 8], [6, 8], [10], [6, 8], [5, 8], [10], [10], [9], [10], [7, 7], [8], [10], [10], [8], [10]]
[[6, 8], [5, 5], [5, 8], [5, 5], [9], [7, 7], [10], [6, 8], [6, 8], [8], [8], [10], [10], [10], [10], [10], [8], [10], [10], [7], [10]]
[[8], [10], [5, 7], [5, 5], [10], [10], [10], [5, 7], [8], [10], [6, 7], [8], [8], [10], [6, 6], [10], [8], [10], [9], [10], [8], [5, 8]]
[[5, 8], [5, 5], [10], [10], [8], [8], [10], [7], [10], [8], [8], [9], [5, 8], [], [10], [10], [10], [7], [10], [5, 8], [6, 7], [10], [6, 6]]
[[5, 5], [5, 8], [8], [6, 7], [10], [7], [10], [10], [6, 6], [10], [8], [10], [10], [8], [5, 5], [8], [9], [10], [8], [10], [8], [10], [7], []]
[[8], [10], [10], [5, 5], [8], [5], [7], [6], [8], [8], [10], [10], [10], [10], [10], [8], [8], [6, 6], [10], [10], [], [5, 7], [5, 7], [9], [8]]
[[8], [6], [10], [8], [10], [10], [10], [5], [10], [6, 6], [10], [7], [10], [8], [5, 5], [8], [9], [8], [10], [10], [], [7], [7], [8], [5, 5], [8]]
[[10], [8], [8], [], [8], [5, 5], [8], [5, 7], [5, 5], [10], [], [10], [10], [10], [8], [], [8], [7], [10], [9], [6, 6], [6], [10], [8], [10], [10], [7]]
[[6], [10], [8], [8], [5, 5], [8], [8], [7], [10], [8], [7], [10], [10], [5], [10], [6], [10], [], [], [7], [6], [10], [5, 5], [8], [10], [9], [10], [8]]
-EndAllocation

Instance: [[1], [218], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9], [3, 4, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 4, 5, 5, 6, 6, 6], [5, 10, 10, 10, 10, 10, 10]]
[[3, 4, 10, 10, 10, 10, 10], [6, 6, 6, 9, 9, 9, 9], [8, 8], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 10, 10]]
[[5, 5, 5, 8, 8, 8, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [], [3, 4, 6, 6, 6, 10, 10]]
[[8, 8, 8, 8, 8], [5, 5, 8, 8, 8, 8], [4, 5, 10, 10, 10], [10, 10, 10, 10], [], [6, 6, 6], [3, 9, 9, 9, 9]]
[[5, 5, 5, 8, 10], [6, 6, 6, 8, 10], [4, 9, 9, 9], [10, 10], [10], [8, 8, 8, 8], [10, 10], [3, 8, 8, 8, 9]]
[[5, 5, 5, 8, 10], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [], [9, 9, 9], [6, 6, 6], [10, 10, 10], [3, 4, 9]]
[[3, 8, 8, 8], [5, 8, 8, 8], [4, 10, 10], [9, 9, 10], [], [10, 10], [8, 8], [5, 5, 9, 9], [10, 10], [6, 6, 6, 8]]
[[4, 10, 10], [6, 9, 9], [6, 10], [6, 9, 9], [], [5, 5, 5], [8, 8, 8], [10, 10], [8, 8, 8], [3, 10, 10], [8, 8, 8]]
[[3, 4], [8, 8, 8], [10, 10], [10, 10], [9, 9], [5, 5, 5], [9, 9], [6, 6, 6], [10, 10], [10], [8, 8, 8], [8, 8, 8]]
[[4, 8, 8], [6, 8, 8], [10, 10], [3, 10], [10, 10], [10, 10], [9, 9], [8, 8], [8, 8], [5, 5, 5], [], [9, 9], [6, 6, 8]]
[[3, 8, 10], [4, 8, 8], [5, 8, 8], [5, 5, 9], [8, 8], [8, 8], [10, 10], [6], [10, 10], [10, 10], [], [9], [6, 6, 9], [9]]
[[3, 4], [8, 8], [5, 5, 5], [10, 10], [8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [], [6, 6, 6], [], [8, 10], [10, 10], [8, 8]]
[[8, 10], [8, 8], [3, 5, 10], [8, 8], [4, 10], [9, 9], [10], [], [9, 9], [10], [8, 10], [10], [6, 6, 6], [5, 5, 8], [], [8, 8]]
[[8, 8], [8, 8], [8, 9], [8, 8], [5, 5, 5], [3, 10], [9], [10], [10], [9], [10], [6, 6], [4, 9], [10], [10], [6, 10], [8, 8]]
[[8, 8], [8, 8], [5, 5, 5], [3, 4, 10], [6, 8], [], [10], [9], [10], [9], [8, 8], [9], [10], [10], [10], [6, 10], [6, 9], [8, 8]]
[[5, 5, 5], [8], [9], [10], [], [8, 8], [10], [9], [10], [4, 10], [10], [6, 6], [10], [9], [6, 9], [3, 10], [8, 8], [8, 8], [8, 8]]
[[4, 8], [5, 8], [5, 8], [5, 8], [6, 8], [10], [10], [10], [6, 8], [8], [3, 9], [10], [10], [8], [10], [10], [9], [9], [9], [6, 8]]
[[3, 8], [10], [6, 8], [5, 9], [8], [10], [10], [6, 6], [8], [5, 8], [9], [9], [9], [8], [10], [8], [8], [10], [5, 8], [4, 10], [10]]
[[9], [4, 9], [10], [5, 8], [10], [8], [5, 8], [9], [5, 8], [10], [10], [3, 8], [8], [10], [8], [8], [9], [6, 6], [6], [8], [10], [10]]
[[10], [10], [4, 8], [10], [6], [8], [10], [10], [6, 6], [8], [10], [8], [8], [3, 10], [9], [5, 8], [8], [9], [9], [8], [5, 5], [9], [8]]
[[4, 8], [8], [9], [8], [8], [], [10], [8], [9], [9], [5, 5], [8], [8], [8], [10], [3, 9], [10], [10], [10], [10], [8], [5, 6], [10], [6, 6]]
[[3, 5], [4, 8], [8], [8], [10], [9], [6], [10], [9], [10], [10], [10], [10], [10], [8], [9], [8], [8], [], [8], [6, 6], [8], [5, 5], [9], [8]]
[[4, 8], [8], [10], [8], [8], [10], [10], [10], [9], [6, 6], [6], [10], [10], [8], [8], [], [9], [8], [9], [8], [9], [5], [8], [10], [3], [5, 5]]
[[3, 8], [5], [8], [8], [10], [8], [6], [8], [5, 5], [], [], [10], [10], [10], [9], [9], [], [9], [10], [9], [8], [10], [8], [8], [4, 8], [10], [6, 6]]
[[10], [5, 5], [8], [5], [8], [8], [6], [8], [10], [8], [8], [8], [], [6], [10], [9], [10], [9], [8], [], [9], [10], [8], [6], [10], [9], [10], [3, 4]]
-EndAllocation

Instance: [[1], [217], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10]; Results for m' = 2,...,28. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 7, 7]]
[[8, 8, 10, 10, 10, 10], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 9, 9, 9, 9]]
[[9, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 8, 8, 8, 8], [5, 5, 5, 7, 7, 9, 9, 9]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 7, 7], [5, 5, 5]]
[[8, 8, 8, 8, 8], [5, 8, 8, 8, 8], [7, 7, 10, 10], [6, 6, 6, 6, 9], [], [8, 8, 10, 10], [5, 5, 9, 9, 9]]
[[5, 8, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8], [10], [10, 10, 10], [7, 7], [5, 5, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [7, 7, 9], [6, 6, 6, 6], [10], [10, 10, 10], [8, 8, 8], [5, 5, 5]]
[[5, 8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 7, 7], [10, 10], [], [9, 9, 10], [8, 10], [5, 5, 9, 9], [6, 6, 6, 8]]
[[8, 8, 8], [5, 9, 9], [], [6, 6], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 7, 7], [9, 9], [5, 5, 8, 8]]
[[7, 8, 8], [8, 8, 8], [], [6, 6, 6, 6], [5, 5, 5, 7], [], [10, 10], [10, 10], [8, 8, 8], [9, 9], [9, 9], [8, 8, 8]]
[[5, 8, 8], [5, 8, 8], [5, 8, 8], [10, 10], [10, 10], [6, 6, 6], [8, 9], [8, 9], [], [9], [8, 8], [6, 9], [7, 7, 8]]
[[8, 8], [8, 8], [6, 8], [6, 6, 6], [8, 8], [8, 8], [5, 5, 5], [9, 9], [], [7, 7], [10, 10], [8, 8], [9, 9], [10, 10]]
[[8, 8], [8, 8], [8, 8], [5, 6, 8], [6, 7, 7], [6], [8, 8], [8, 8], [10, 10], [], [], [9, 9], [9, 9], [10, 10], [5, 5, 6]]
[[9], [8, 8], [8, 8], [7, 10], [10], [10], [10], [5, 5, 5], [8, 8], [6, 6, 6], [6, 7], [9, 9], [], [8, 9], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [6], [10], [9], [10], [7, 7], [9], [5, 5, 5], [9], [8, 9], [6, 6], [10], [6, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 9], [8, 8], [], [], [9], [7], [6, 10], [10], [8, 8], [9], [5, 5, 5], [6, 9], [6, 10], [10], [6, 8]]
[[8, 8], [8, 8], [8, 8], [6, 8], [5, 10], [10], [10], [7, 9], [10], [5, 9], [9], [], [8, 8], [], [7, 9], [], [6, 6], [8, 8], [5, 6]]
[[6, 8], [5, 9], [9], [8], [10], [7, 7], [6, 8], [10], [8], [8], [6, 8], [6, 8], [8], [8], [9], [9], [10], [10], [5, 8], [5, 8]]
[[5, 8], [8], [8], [10], [], [7, 7], [9], [6, 8], [5, 8], [9], [10], [9], [6, 8], [6, 8], [10], [8], [8], [6, 8], [8], [5, 9], [10]]
[[6, 7], [10], [9], [5, 8], [6, 6], [8], [8], [8], [8], [10], [10], [10], [5, 8], [6, 7], [9], [8], [9], [8], [8], [9], [8], [5, 8]]
[[8], [5, 7], [5, 8], [10], [8], [10], [7], [9], [8], [10], [8], [8], [8], [8], [9], [5, 8], [8], [9], [10], [8], [6, 6], [9], [6, 6]]
[[5, 8], [8], [10], [5, 8], [8], [8], [8], [8], [9], [9], [6, 7], [9], [6], [6], [8], [9], [6], [10], [8], [8], [8], [10], [10], [5, 7]]
[[5, 7], [8], [8], [8], [10], [10], [9], [8], [5, 7], [5], [9], [8], [8], [6, 6], [8], [10], [8], [8], [10], [9], [6], [9], [8], [6], [8]]
[[5], [8], [5, 5], [8], [8], [10], [9], [8], [8], [9], [9], [7], [10], [10], [8], [9], [8], [8], [6], [8], [10], [8], [8], [7], [6, 6], [6]]
[[6, 6], [9], [9], [8], [], [8], [8], [6, 6], [8], [8], [9], [10], [8], [10], [8], [8], [8], [5, 7], [], [5, 5], [8], [10], [8], [7], [], [10], [9]]
[[10], [8], [9], [8], [8], [8], [8], [8], [8], [8], [7], [8], [10], [], [9], [6], [10], [7], [8], [6], [5], [10], [8], [5, 5], [6], [9], [9], [6]]
-EndAllocation

Instance: [[1], [232], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 4, 5, 6, 6, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 3, 3, 3, 5, 6, 6, 7, 8, 8, 9, 9, 9], [4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10], [3, 3, 3, 3, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 6, 7, 8, 8, 9, 9, 9, 9, 10]]
[[3, 3, 9, 9, 10], [7, 9, 10, 10, 10, 10, 10, 10], [3, 5, 6, 10, 10, 10, 10, 10, 10], [3, 4, 6, 8, 8, 9, 10]]
[[10, 10, 10], [6, 6, 10, 10, 10, 10, 10], [4, 5, 7, 10, 10, 10, 10], [8, 8, 9, 9, 9, 9, 10], [3, 3, 3, 3, 10]]
[[10, 10, 10], [3, 8, 8, 10, 10, 10], [3, 10, 10, 10, 10], [10, 10, 10], [3, 6, 6, 7, 10], [3, 4, 5, 9, 9, 9, 9]]
[[10, 10], [8, 8, 10], [6, 9, 9, 9, 9], [6, 7, 10], [10, 10, 10, 10], [3, 3, 3, 3, 10, 10, 10], [4, 5, 10, 10, 10]]
[[10, 10], [10], [10, 10, 10], [5, 10, 10, 10], [3, 3, 3, 3, 10, 10], [6, 9, 10, 10], [6, 9, 9, 9], [4, 7, 8, 8, 10]]
[[9], [9, 10, 10], [8, 10, 10], [9, 10, 10], [3, 3, 3, 3, 6, 6, 10], [5, 9], [10, 10, 10], [10, 10, 10], [4, 7, 8, 10]]
[[], [3, 10, 10], [10, 10, 10], [3, 9, 10, 10], [5, 9, 10], [10], [3, 9, 10, 10], [4, 8, 8, 9], [6, 6, 7, 10], [3, 10, 10]]
[[], [9, 10, 10], [5, 10, 10], [10, 10], [3, 3, 3, 3, 10], [10, 10], [7, 10], [4, 9, 10], [9, 9, 10], [6, 6, 8, 8], [10, 10]]
[[], [3, 10, 10], [6, 10, 10], [3, 10, 10], [9, 10], [5, 6, 10], [3, 10, 10], [3, 9, 10], [7, 10], [8, 8, 9], [4, 10], [9, 10]]
[[10], [9, 10], [9, 10], [10], [7, 10], [3, 3, 3, 3, 5], [8, 10], [4, 10, 10], [10, 10], [6, 6, 8], [10, 10], [9, 10], [9, 10]]
[[], [4, 9], [7, 10], [3, 3, 3, 3, 10], [10, 10], [5, 10], [10, 10], [8, 10], [10, 10], [10, 10], [8, 9], [6, 6, 10], [9, 10], [9]]
[[], [10, 10], [9], [10, 10], [8, 10], [9, 10], [6, 6, 8], [7, 9], [10, 10], [10, 10], [3, 3, 3, 3], [9, 10], [5, 10], [10], [4, 10]]
[[], [10], [4, 10], [9], [8, 10], [10], [5, 10], [3, 3, 3, 3, 6], [9, 10], [9, 10], [10, 10], [6, 10], [8, 10], [10], [9, 10], [7, 10]]
[[10], [3, 3, 3, 9], [10], [7, 10], [8, 10], [8, 10], [10], [5, 10], [4, 10], [10], [6, 10], [6, 9], [10], [3, 10], [10], [10], [9, 9]]
[[9], [10], [4, 10], [8, 9], [10], [10], [10], [8, 9], [5, 9], [10], [3, 10], [10], [10], [6, 10], [3, 3, 10], [6, 10], [3, 10], [7, 10]]
[[10], [10], [3, 3, 10], [10], [10], [9], [10], [6, 10], [6, 10], [10], [10], [3, 10], [9], [7, 10], [8, 9], [5, 10], [10], [3, 9], [4, 8]]
[[10], [9], [10], [10], [7], [5, 10], [10], [10], [10], [9], [10], [6, 9], [4, 10], [3, 3, 10], [10], [9], [3, 3, 10], [10], [8, 8], [6, 10]]
[[9], [10], [10], [6, 10], [3, 3, 3, 3], [10], [10], [4, 10], [10], [9], [8], [10], [6, 10], [5, 10], [10], [9], [10], [10], [8], [7, 9], [10]]
[[10], [9], [10], [10], [10], [3, 10], [9], [6, 8], [10], [6, 8], [10], [10], [10], [5, 7], [10], [10], [3, 3, 3], [4, 9], [9], [10], [10], [10]]
[[10], [3, 10], [9], [9], [10], [10], [10], [7], [10], [10], [3, 3, 3], [6, 8], [10], [10], [9], [6], [10], [4, 9], [10], [10], [10], [10], [5, 8]]
[[10], [9], [3, 10], [3, 3, 3], [10], [9], [9], [5], [9], [8], [6], [10], [10], [10], [10], [10], [10], [6, 7], [4, 8], [10], [10], [10], [10], [10]]
[[10], [10], [10], [8], [10], [3, 10], [10], [10], [10], [], [6], [10], [10], [9], [9], [10], [3, 4, 5], [9], [8], [6], [3, 9], [10], [10], [3, 7], [10]]
[[10], [10], [9], [6], [10], [10], [6], [7], [9], [4], [5], [8], [10], [10], [10], [10], [10], [10], [3, 3, 3], [9], [10], [9], [3, 8], [10], [10], [10]]
[[9], [7], [10], [3, 9], [10], [], [10], [10], [10], [10], [10], [6], [8], [3, 9], [10], [], [6], [10], [10], [8], [10], [3], [4, 5], [10], [3, 9], [10], [10]]
[[], [3, 3, 3], [6], [], [9], [6], [10], [10], [10], [9], [10], [10], [10], [10], [10], [8], [9], [10], [3, 7], [8], [10], [10], [5], [10], [10], [10], [4], [9]]
[[10], [10], [10], [10], [10], [3], [9], [9], [3, 3], [7], [6], [10], [8], [6], [10], [5], [9], [10], [10], [10], [8], [10], [4], [], [10], [3], [10], [10], [9]]
-EndAllocation

Instance: [[1], [231], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 10], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10], [6, 6, 6, 6, 10], [5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 10]]
[[8], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9], [], [5, 5, 5, 5, 10, 10, 10, 10]]
[[5, 5, 8, 9, 9, 9], [8, 8, 8, 8, 8, 9], [9, 9, 9, 9, 9], [8, 10, 10, 10, 10], [], [5, 5, 6, 6, 6, 6, 10]]
[[8, 8, 8, 9, 9], [8, 8, 8, 8, 9], [10, 10, 10, 10], [6, 6, 6, 6, 9, 9], [9, 9, 10], [5, 5, 5, 5], [9, 9]]
[[9, 9, 10, 10], [], [9, 9, 9, 9], [5, 5, 5, 5, 9, 9], [10, 10, 10], [8, 8, 8, 9], [6, 6, 6, 6], [8, 8, 8, 8]]
[[8, 8, 8, 8], [6, 9, 9, 9], [5, 5, 5, 5, 6], [9, 9, 10], [9, 10, 10], [10, 10], [], [6, 6, 9, 9], [8, 8, 8, 9]]
[[5, 9, 9, 9], [5, 5, 10, 10], [9, 9, 10], [5, 9, 9, 9], [], [], [8, 8, 8], [8, 8, 8, 8], [9, 10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [9, 9, 9], [], [5], [8, 10, 10], [6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 10], [8, 8, 8], [10, 10], [9, 9, 9]]
[[5, 5, 5, 10], [5, 8, 10], [9, 9], [9, 10], [], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10], [8, 8, 8], [8, 8, 8]]
[[8, 9], [6, 6, 6, 6], [5, 5, 5, 9], [9, 9], [5, 9, 10], [9], [9], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [8, 8]]
[[5, 6, 8], [5, 5, 5, 6], [8, 8], [8, 8], [9, 9], [6, 6, 9], [9, 10], [9, 9], [9], [], [10, 10], [8, 8], [9, 9], [10, 10]]
[[6, 6, 8], [8, 8], [9, 10], [9], [8, 9], [10, 10], [8, 8], [5, 5, 5, 5], [], [], [6, 6, 9], [9, 9], [9, 9], [10, 10], [8, 9]]
[[9, 9], [], [8, 8], [9, 9], [5, 5, 9], [8, 8], [5, 5], [8, 8], [6, 6, 6], [9, 9], [], [10, 10], [10], [9, 9], [10, 10], [6, 8]]
[[8], [5, 5, 6], [8, 8], [9, 9], [9, 9], [10], [9, 9], [10], [5, 5], [], [10], [8, 9], [9, 9], [10], [6, 6, 6], [8, 10], [8, 8]]
[[8, 9], [9], [8, 8], [5, 10], [5, 9], [5, 6, 6], [10], [9], [6, 9], [8, 8], [10], [10], [5, 9], [9], [9], [6, 10], [9], [8, 8]]
[[10], [9], [8, 8], [10], [5, 5, 5], [9], [5, 10], [6, 6], [8, 9], [6, 6], [8, 9], [9], [9], [9], [8, 8], [9], [10], [10], [8, 9]]
[[8, 8], [5, 9], [5, 10], [], [9], [8], [5, 9], [9], [5, 10], [9], [10], [9], [9], [6, 6], [9], [6, 10], [8, 8], [10], [8, 8], [6, 9]]
[[5, 9], [5, 8], [9], [10], [5, 9], [10], [6, 8], [8], [9], [5, 9], [6, 8], [9], [9], [6, 8], [9], [10], [8], [10], [10], [6, 8], [9]]
[[10], [8], [9], [5, 8], [9], [5, 8], [10], [10], [5, 9], [6, 8], [8], [10], [5, 9], [6, 6], [8], [9], [10], [9], [9], [9], [9], [6, 8]]
[[5, 9], [10], [5, 9], [6], [8], [6, 8], [9], [8], [8], [10], [10], [5, 9], [9], [10], [5, 8], [9], [8], [8], [9], [9], [10], [6, 6], [9]]
[[5, 8], [5, 8], [9], [10], [9], [5, 8], [9], [10], [9], [10], [9], [6, 6], [10], [9], [9], [8], [], [8], [8], [6, 6], [10], [5, 8], [9], [9]]
[[9], [9], [5, 8], [5], [8], [8], [9], [8], [8], [10], [9], [10], [8], [9], [10], [9], [6, 6], [10], [8], [9], [9], [10], [5, 5], [6, 6], [9]]
[[10], [5, 5], [8], [8], [8], [9], [8], [9], [9], [6], [9], [10], [10], [9], [6, 6], [6], [10], [9], [5, 5], [9], [8], [9], [8], [8], [10], [9]]
[[5, 5], [8], [9], [9], [8], [8], [8], [9], [8], [9], [9], [10], [9], [8], [9], [9], [5], [5], [10], [9], [6, 6], [10], [10], [8], [6, 6], [10], []]
[[9], [6, 6], [5, 5], [8], [9], [8], [8], [8], [10], [9], [9], [10], [10], [9], [9], [10], [5, 5], [9], [], [10], [9], [8], [8], [], [], [9], [6, 6], [8]]
[[6], [8], [], [9], [9], [8], [8], [9], [8], [10], [8], [10], [9], [10], [10], [6], [9], [], [5, 5], [9], [8], [10], [6], [9], [9], [9], [8], [5, 5], [6]]
-EndAllocation

Instance: [[1], [230], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 5, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9], [3, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [3, 4, 5, 6, 6, 6, 6, 7, 7]]
[[9, 9, 9, 9], [4, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [3, 5, 6, 6, 6, 6, 7, 7, 10]]
[[3, 5, 6, 8, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10], [9, 9, 9, 9, 10, 10], [4, 7, 7]]
[[5, 8, 8, 8, 8, 8], [8, 8], [10, 10, 10, 10, 10], [7, 7, 8], [6, 6, 6, 6, 9, 9, 9], [3, 4, 9, 10, 10, 10]]
[[3, 5, 8, 8, 8], [4, 8, 8, 8, 8, 8], [9, 9, 10, 10], [10, 10, 10, 10], [], [7, 7, 10, 10], [6, 6, 6, 6, 9, 9]]
[[3, 4, 8, 8, 10], [8, 8, 9, 10], [9, 9, 9, 10], [6, 6, 6, 6, 10], [8, 8, 10], [7, 7, 10], [10], [5, 8, 8, 10]]
[[3, 9, 10, 10], [8, 8, 8, 8], [4, 5, 7, 7, 9], [6, 6, 6, 6, 9], [], [10, 10, 10], [10, 10, 10], [9], [8, 8, 8, 8]]
[[3, 7, 7], [10, 10, 10], [4, 8, 8], [9, 10, 10], [], [10, 10, 10], [8, 8, 8], [5, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8]]
[[3, 4, 10, 10], [5, 7, 7, 9], [], [9, 9, 9], [8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8]]
[[3, 4, 5], [8, 8, 8], [9, 9], [10, 10], [9, 9], [8, 8, 8], [10, 10], [7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8]]
[[3, 4, 5, 8], [6, 6, 6, 6], [10, 10], [], [10, 10], [7, 7, 10], [], [8, 8, 8], [10, 10], [9, 9], [8, 8, 8], [9, 9], [8, 10]]
[[3, 4, 7, 7], [], [8, 8], [9, 10], [8, 8], [9, 9], [9, 10], [10, 10], [5], [6, 6, 6], [10, 10], [8, 8], [10, 10], [6, 8, 8]]
[[3, 4, 8], [5, 8, 8], [10, 10], [7, 7], [10, 10], [8, 8], [10, 10], [8, 8], [], [], [6, 6, 6], [9, 9], [9, 9], [10, 10], [6, 8]]
[[3, 4, 5], [10, 10], [8, 8], [10, 10], [10, 10], [8, 8], [], [8, 8], [7, 7], [9, 9], [6], [9, 9], [6, 6, 6], [], [10, 10], [8, 8]]
[[3, 5, 10], [4], [8, 8], [8, 8], [10], [10], [8, 8], [10], [7, 7], [9, 9], [10], [8, 8], [9, 9], [10], [10], [6, 6, 6], [6, 10]]
[[10], [8, 8], [3, 5, 8], [10], [6, 9], [4, 10], [10], [8, 9], [6, 6], [10], [8, 8], [6, 9], [7, 7], [10], [10], [9], [10], [8, 8]]
[[3, 4, 10], [8, 8], [8, 8], [5, 10], [9], [10], [10], [6, 9], [10], [6, 9], [], [9], [7, 7], [10], [8, 8], [10], [10], [6, 6], [8, 8]]
[[3, 10], [5, 8], [10], [8, 8], [7, 7], [9], [8], [8, 8], [10], [10], [9], [10], [6, 6], [9], [10], [6, 6], [10], [9], [8, 8], [4, 10]]
[[10], [4, 9], [5, 9], [6, 8], [10], [10], [10], [10], [8], [8], [10], [10], [9], [7, 7], [6, 8], [10], [8], [6, 8], [3, 9], [6, 8], [8]]
[[6, 8], [3, 10], [4, 8], [10], [5, 8], [9], [9], [8], [10], [10], [7], [8], [9], [8], [10], [10], [9], [10], [6, 8], [6, 8], [10], [6, 7]]
[[3, 8], [4, 8], [5, 8], [10], [9], [10], [8], [9], [8], [8], [10], [8], [10], [8], [9], [6, 7], [10], [6, 7], [9], [6, 6], [10], [10], [10]]
[[6, 6], [3, 10], [5], [9], [10], [10], [4, 8], [8], [10], [6, 7], [8], [8], [8], [10], [6, 7], [8], [9], [8], [10], [9], [8], [10], [10], [9]]
[[4, 8], [6, 6], [3, 10], [10], [5], [8], [8], [9], [8], [8], [8], [10], [10], [8], [8], [9], [6, 6], [7], [10], [10], [10], [10], [9], [7], [9]]
[[3, 5], [8], [7], [8], [6, 6], [10], [10], [8], [6, 6], [], [9], [10], [9], [10], [8], [10], [8], [8], [10], [7], [9], [9], [8], [10], [10], [4, 8]]
[[3, 4, 5], [7], [8], [10], [10], [8], [8], [8], [8], [8], [9], [], [8], [], [9], [9], [10], [10], [10], [9], [6, 6], [10], [8], [10], [6, 6], [10], [7]]
[[3, 5], [10], [7], [10], [8], [8], [8], [8], [8], [9], [], [10], [10], [6, 6], [10], [8], [], [8], [6, 6], [10], [7], [10], [10], [8], [9], [9], [9], [4]]
[[5], [8], [8], [8], [8], [8], [3, 4], [9], [6], [6], [10], [10], [7], [9], [9], [10], [10], [10], [7], [6], [8], [10], [10], [10], [6], [9], [8], [8], []]
-EndAllocation

Instance: [[1], [229], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 9, 9], [5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10]]
[[7, 7, 7, 9, 10, 10, 10, 10], [5, 10], [9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7]]
[[9, 9, 10, 10, 10, 10], [10], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 7, 7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 10], [], [10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 9, 9], [10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [6, 6, 6, 6, 10, 10], [9, 9], [10, 10, 10, 10], [7], [5, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10]]
[[6, 6, 6], [7, 10, 10, 10], [9, 9], [6, 6, 6, 6, 6, 6], [10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [5, 10, 10, 10]]
[[6, 6, 10], [10], [9, 9, 10], [10, 10, 10], [6, 6, 6, 6, 10], [7, 7, 7, 10], [7, 7, 7, 10], [10], [5, 6, 6, 6, 10]]
[[6, 6, 6, 7], [7, 10, 10], [], [10, 10, 10], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6, 6], [5, 6, 9, 9], [7, 7, 7, 7]]
[[7, 7, 7, 7], [7, 10, 10], [7, 10, 10], [9, 9, 10], [5, 6, 6, 6], [6, 10, 10], [6], [10, 10], [], [10, 10], [6, 6, 6, 6]]
[[6, 10], [], [10, 10], [10, 10], [5, 9, 9], [10, 10], [10, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [6, 6, 6, 6], [7, 7, 7]]
[[6, 6, 6, 6], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [7, 7, 7], [], [7, 7, 7], [10, 10], [5, 9, 9], [6, 10], [], [10, 10]]
[[6, 6, 10], [6], [10, 10], [7, 7, 7], [10], [10, 10], [10, 10], [5, 10], [], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [7, 7, 7]]
[[], [], [6, 6, 6], [7, 7, 7], [10, 10], [7, 7, 7], [10, 10], [10, 10], [5, 10], [6, 6, 6], [6, 6, 6], [], [9, 9], [10, 10], [10, 10]]
[[10, 10], [7, 7], [], [6, 6, 6], [6, 10], [7, 7], [10, 10], [10, 10], [7, 7], [10], [6, 6, 6], [9, 9], [5, 6, 6], [10], [10, 10], []]
[[5, 10], [], [7, 10], [], [6, 10], [6, 10], [6, 10], [6, 10], [7, 7], [6, 6], [7, 10], [7, 7], [9, 9], [6, 10], [6, 10], [6, 10], [10]]
[[10], [10], [6, 6], [10], [6, 9], [10], [6, 10], [9], [6, 10], [5, 10], [7, 7], [7, 7], [7, 7], [10], [10], [6, 10], [6, 10], [6, 6]]
[[6, 10], [6, 6], [], [7, 10], [6, 10], [7, 10], [10], [5, 6, 6], [7, 9], [6, 10], [], [10], [7, 7], [10], [10], [9], [10], [7, 10], [6, 6]]
[[6, 10], [10], [6, 6], [6, 6], [7, 7], [10], [7, 7], [10], [10], [10], [10], [10], [10], [7, 9], [5, 9], [6, 6], [10], [7], [10], [6, 6]]
[[10], [7, 7], [6, 6], [5, 9], [10], [10], [6, 6], [10], [10], [10], [6, 6], [7, 7], [10], [6], [9], [10], [10], [10], [6, 6], [10], [7, 7]]
[[10], [7], [6, 6], [10], [6, 7], [10], [9], [10], [10], [6, 6], [9], [10], [7, 7], [10], [6, 6], [10], [7], [5, 7], [10], [10], [10], [6, 6]]
[[6, 7], [10], [10], [10], [9], [10], [10], [10], [10], [10], [10], [10], [6, 7], [5, 7], [6, 6], [9], [], [6, 7], [], [6, 7], [6, 6], [10], [6, 7]]
[[9], [10], [10], [10], [5, 7], [6, 7], [6, 6], [10], [7], [7], [], [9], [10], [6, 6], [6, 6], [10], [10], [10], [10], [7], [7], [10], [10], [6, 6]]
[[10], [6, 7], [7], [10], [], [6, 6], [10], [6], [10], [10], [6, 6], [7], [10], [7], [6, 6], [10], [7], [9], [10], [10], [9], [10], [10], [5], [6, 7]]
[[7], [6], [10], [7], [10], [7], [6, 6], [7], [6, 6], [7], [], [6, 6], [9], [10], [7], [10], [10], [10], [10], [6, 6], [10], [5], [10], [9], [10], [10]]
[[6], [], [7], [7], [10], [], [9], [7], [6, 6], [10], [10], [10], [10], [10], [9], [10], [7], [10], [10], [6, 6], [6, 6], [10], [7], [], [6, 6], [10], [5, 7]]
[[10], [], [], [], [6, 6], [6, 6], [5, 7], [10], [7], [], [10], [10], [10], [6, 6], [10], [7], [6], [10], [6, 6], [10], [10], [7], [10], [7], [9], [9], [10], [7]]
[[7], [6], [6], [10], [7], [6], [5], [7], [6], [10], [10], [10], [6], [6], [7], [10], [6], [10], [9], [6], [10], [10], [7], [7], [10], [6], [10], [9], [10]]
-EndAllocation

Instance: [[1], [228], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 7, 7, 7, 7]]
[[5, 5, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 8, 10]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7], [10, 10, 10, 10, 10], [5, 5, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 9, 9, 9], [5, 5, 9]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5], [6, 6, 6, 6, 10], [7, 7, 7, 7], [9, 9, 9, 9]]
[[5, 8, 8, 8, 8], [10], [9, 9, 9, 9], [6, 6, 6, 6, 10], [5, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [8, 8]]
[[8, 8, 8, 8], [5, 5, 8, 10], [7, 8, 9, 9], [6, 6, 6, 6, 9], [9, 10], [10], [7, 7, 7, 10], [10], [8, 8, 8, 8]]
[[5, 8, 8, 8], [5, 10, 10], [8, 8, 8], [8, 9], [], [10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [8, 8, 8]]
[[8, 8, 8], [7, 7, 7, 7], [9, 10], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [], [10, 10], [8, 8, 8], [10, 10], [5, 5, 8]]
[[5, 8, 8], [5, 8, 8], [9, 9], [10, 10], [9, 9], [8, 8], [8, 10], [7, 7, 7], [8], [10, 10], [6, 6, 6, 6], [7, 8, 8]]
[[5, 5, 8], [6, 6, 6, 6], [10, 10], [], [10, 10], [7, 7, 7], [9], [8, 8, 8], [10], [9, 9], [8, 8, 8], [7, 9], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 10], [10], [6, 6, 10], [5, 5, 10], [9, 9], [6, 6], [7, 7, 7], [10], [8, 8], [9, 9], [8, 8]]
[[5, 8, 8], [5, 8, 8], [10, 10], [7, 7, 7], [8, 8], [10, 10], [7, 10], [8, 8], [], [], [6, 6, 6], [9, 9], [9, 9], [6], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10, 10], [], [9, 9], [8, 8], [10, 10], [5, 5], [8, 8], [6, 6, 6], [9, 9], [6, 7, 7], [7, 7], [10], []]
[[5, 5], [8, 8], [8, 8], [8, 8], [10], [6, 10], [], [10], [7, 7], [9, 9], [7, 7], [8, 8], [9, 9], [10], [10], [6, 6, 6], [8, 8]]
[[8, 8], [9], [8, 8], [10], [5, 9], [9], [10], [5, 9], [6, 6], [6, 6], [8, 8], [7, 7], [7, 7], [10], [10], [10], [8, 8], [8, 8]]
[[5, 5], [8, 8], [8, 8], [10], [7, 7], [], [9], [6, 6], [10], [6, 9], [8, 8], [9], [7, 7], [9], [8, 8], [6, 10], [10], [10], [8, 8]]
[[5, 5], [8, 8], [9], [8, 8], [7, 7], [9], [], [8, 8], [6, 10], [10], [10], [7, 7], [6, 9], [], [10], [6, 6], [9], [10], [8, 8], [8, 8]]
[[10], [5, 8], [9], [8], [9], [6, 8], [10], [5, 8], [6, 8], [10], [9], [10], [6, 8], [8], [8], [10], [7, 7], [9], [7, 7], [8], [6, 8]]
[[6, 6], [10], [9], [10], [6, 8], [8], [9], [7, 7], [10], [7, 7], [8], [8], [9], [9], [8], [10], [5, 8], [5, 8], [10], [8], [8], [6, 8]]
[[9], [5, 8], [6, 7], [10], [9], [10], [10], [8], [6, 7], [8], [10], [8], [8], [8], [6, 7], [10], [8], [8], [5, 8], [8], [9], [9], [6, 7]]
[[9], [5, 8], [8], [9], [5, 8], [6, 7], [9], [10], [10], [7], [10], [10], [9], [8], [6, 6], [8], [8], [8], [8], [8], [6, 7], [7], [10], [8]]
[[5, 8], [6, 7], [5, 8], [10], [8], [8], [8], [10], [9], [8], [8], [9], [7], [9], [9], [], [10], [6], [6, 7], [6, 7], [8], [10], [8], [8], [10]]
[[8], [8], [8], [7], [8], [7], [8], [8], [6, 6], [8], [9], [7], [9], [10], [5, 5], [10], [6, 6], [8], [10], [9], [9], [10], [8], [8], [10], [7]]
[[8], [8], [8], [8], [6, 6], [9], [8], [8], [7], [8], [9], [10], [], [5, 5], [9], [9], [10], [7], [10], [7], [8], [10], [8], [7], [6, 6], [10], [8]]
[[8], [8], [7], [5], [8], [7], [8], [8], [8], [9], [], [10], [10], [6, 6], [], [8], [10], [8], [6, 6], [10], [8], [5, 7], [7], [10], [9], [9], [9], [8]]
[[8], [8], [6], [6], [8], [8], [8], [7], [8], [7], [10], [10], [7], [10], [9], [5, 5], [], [10], [9], [6], [8], [10], [7], [8], [6], [9], [9], [8], [8]]
-EndAllocation

Instance: [[1], [227], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 6, 6, 7, 7, 7], [5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 9, 9, 9], [6, 6, 6, 6, 8, 8]]
[[5, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9]]
[[5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 10], [7, 7, 7, 9, 9, 9], [6, 6, 6, 6]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10], [], [5, 6, 6, 6, 6, 7, 7], [5, 5, 7, 9, 9, 9]]
[[5, 10, 10, 10], [], [10, 10, 10], [5, 5, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]
[[10, 10, 10], [8, 8, 8, 8], [8, 8, 10], [7, 7, 7, 10], [5, 5], [], [6, 6, 6, 6, 10], [5, 9, 9, 9], [8, 8, 8, 8]]
[[5, 8], [7, 7, 7], [8, 8, 8], [10, 10, 10], [9, 9, 9], [], [10, 10, 10], [6, 6, 6, 6], [5, 8, 8, 8], [5, 8, 8, 8]]
[[5, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [5, 5], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [8, 8], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10], [], [10, 10], [7, 7, 7], [9, 9], [9], [5, 10, 10], [8, 8, 8], [5, 5, 8]]
[[5, 8], [6, 6, 6, 6], [7, 7, 7], [5, 5], [10, 10], [9, 9], [], [8, 8, 8], [9], [8, 8, 8], [10, 10], [10, 10], [8, 8, 8]]
[[5, 9], [8, 8], [8, 8], [9, 9], [5, 5], [6, 6, 6], [10, 10], [10, 10], [10, 10], [6, 8, 8], [], [8, 8], [7, 7, 7], [8, 8]]
[[5, 8, 8], [8, 8], [7, 7, 7], [], [6], [10, 10], [8, 8], [8, 8], [5, 5], [9], [6, 6, 6], [10, 10], [9, 9], [10, 10], [8, 8]]
[[5, 7], [8, 8], [8, 8], [9, 9], [], [10, 10], [10, 10], [10, 10], [9], [8, 8], [], [6, 6, 6], [5, 5, 6], [7, 7], [8, 8], [8, 8]]
[[8, 8], [8, 8], [6, 6, 6], [8, 8], [9, 9], [6, 7], [10], [10], [7, 7], [10], [10], [8, 8], [9], [], [5, 10], [5, 5, 8], [8, 10]]
[[8, 8], [8, 8], [8, 8], [10], [5, 10], [10], [5, 10], [], [6, 6], [8, 8], [7, 7], [9], [10], [5, 9], [10], [6, 6], [7, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 7], [5, 5], [], [10], [6, 6], [9], [6, 10], [8, 8], [10], [10], [9], [9], [7], [6, 10], [5, 10], [8, 8]]
[[5, 7], [10], [10], [7, 7], [8, 8], [10], [8, 8], [8, 8], [10], [10], [8, 8], [6, 6], [10], [6, 6], [9], [], [9], [5, 5], [9], [8, 8]]
[[5, 8], [6, 8], [10], [7, 7], [10], [7], [9], [6, 8], [10], [9], [8], [10], [10], [6, 8], [10], [8], [9], [8], [6, 8], [5, 8], [5, 8]]
[[5, 8], [10], [10], [8], [10], [8], [8], [7], [10], [8], [6, 6], [6, 8], [10], [8], [10], [9], [6, 8], [8], [7, 7], [9], [5, 8], [5, 9]]
[[5, 7], [8], [10], [8], [6, 7], [5, 8], [10], [9], [8], [8], [10], [5, 8], [6, 6], [10], [10], [8], [8], [8], [9], [9], [8], [10], [6, 7]]
[[10], [8], [9], [8], [8], [10], [10], [7], [9], [6, 7], [8], [9], [6, 6], [10], [6], [8], [10], [8], [8], [8], [10], [5, 8], [5, 7], [5, 8]]
[[5, 8], [8], [8], [10], [6, 7], [8], [8], [6, 7], [10], [10], [9], [], [8], [9], [10], [10], [8], [5, 5], [10], [8], [8], [7], [6, 6], [8], [9]]
[[10], [8], [8], [8], [10], [7], [8], [8], [6, 6], [6, 6], [9], [8], [10], [10], [9], [10], [], [8], [5, 5], [8], [9], [7], [5, 7], [8], [10], [8]]
[[8], [7], [8], [7], [8], [8], [8], [10], [8], [8], [10], [10], [], [], [10], [8], [9], [6, 6], [9], [9], [10], [10], [5, 7], [8], [6, 6], [5, 5], [8]]
[[8], [8], [8], [], [5, 5], [8], [8], [8], [7], [9], [], [10], [6, 6], [9], [], [8], [10], [8], [6, 6], [10], [10], [7], [5, 7], [8], [10], [9], [10], [8]]
[[8], [8], [8], [8], [8], [6], [7], [7], [10], [6], [10], [6], [8], [], [9], [10], [10], [9], [7], [5], [5, 5], [10], [10], [8], [6], [9], [8], [8], [8]]
-EndAllocation

Instance: [[1], [226], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 10], [4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7]]
[[4, 9, 9, 9, 9], [7, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 10], [5, 5, 6, 6, 6, 6, 10, 10, 10, 10]]
[[4, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [5, 5], [6, 6, 6, 6, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6], [5, 5, 7, 7, 9, 9], [9, 9]]
[[4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6], [], [5, 5, 7, 7, 10], [8, 9, 9, 9, 9]]
[[4, 8, 8, 8], [10, 10], [7, 7], [5, 5, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8]]
[[4, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 9], [5, 5, 10, 10], [], [9, 9, 9], [10, 10, 10], [7, 7], [8, 8, 8, 8]]
[[4, 7, 8, 10], [8, 10, 10], [8, 8, 8], [8, 8, 8], [9, 9, 9], [], [5, 5, 7], [6, 6, 6, 6], [9, 10, 10], [8, 8, 8]]
[[8, 8, 10], [6, 6, 6, 8], [4, 6, 9, 9], [10, 10], [5, 5, 10], [9, 9], [], [7, 7], [8, 8, 8], [8, 8, 8], [8, 8, 10]]
[[5, 10, 10], [8, 8, 8], [4, 9, 9], [7, 7, 10], [10, 10], [9, 9], [6, 6, 6, 6], [8, 8, 8], [], [], [8, 8, 8], [5, 8, 8]]
[[4, 8, 10], [6, 6, 6, 6], [10, 10], [5, 5, 8], [10, 10], [8, 8, 8], [], [9, 9], [], [7, 7], [9, 9], [8, 8, 8], [8, 8, 8]]
[[9, 10], [4, 8, 8], [5, 5, 8], [9, 10], [8, 9], [6, 8, 8], [8, 10], [10, 10], [6, 6, 6], [8, 8], [7, 7], [], [9], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [10, 10], [], [6], [5, 5, 8], [10], [6, 6, 6], [9, 9], [9, 9], [10, 10], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [10, 10], [5, 5, 10], [8], [], [10, 10], [8, 8], [9, 9], [], [6], [6, 6, 6], [7, 7], [9, 9], [8, 8]]
[[8, 10], [8, 8], [4, 9], [8, 8], [8, 9], [8, 10], [], [10], [6, 6, 6], [8, 8], [9, 9], [7, 7], [10], [], [5, 5], [6, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [4, 6, 6], [5, 8], [6, 6], [9], [10], [9], [7, 7], [8, 8], [10], [10], [5, 9], [10], [9], [10]]
[[8, 8], [8, 8], [8, 8], [10], [9], [10], [10], [6, 6], [9], [6, 6], [8, 8], [9], [7, 7], [9], [10], [10], [5, 5], [8, 8], [4, 8]]
[[8, 8], [8, 8], [5, 10], [4, 6], [8, 8], [10], [], [6, 9], [10], [9], [7, 7], [5, 8], [8, 8], [], [9], [6, 6], [9], [10], [8, 8], [10]]
[[6, 8], [4, 8], [6, 8], [10], [8], [10], [6, 8], [8], [8], [10], [9], [9], [7, 7], [8], [10], [8], [6, 8], [5, 9], [5, 9], [10], [8]]
[[6, 6], [6, 8], [4, 8], [8], [9], [8], [8], [9], [8], [10], [9], [10], [8], [7, 7], [10], [10], [10], [8], [8], [5, 9], [5, 8], [6, 8]]
[[6, 7], [4, 8], [5, 8], [5, 8], [8], [10], [8], [6, 6], [8], [8], [8], [10], [8], [8], [6, 7], [10], [10], [9], [9], [9], [9], [10], [8]]
[[5, 7], [10], [8], [8], [7], [10], [10], [8], [8], [10], [6, 6], [9], [6, 6], [5, 8], [9], [8], [9], [8], [8], [10], [8], [8], [8], [4, 9]]
[[5, 8], [9], [5, 8], [8], [8], [8], [], [8], [10], [10], [9], [8], [10], [6, 6], [9], [10], [8], [8], [10], [9], [8], [7], [6, 6], [7], [4, 8]]
[[8], [8], [8], [8], [8], [8], [8], [10], [6, 6], [10], [9], [8], [10], [10], [9], [5, 5], [9], [], [6, 6], [8], [9], [7], [8], [8], [10], [4, 7]]
[[8], [9], [8], [8], [8], [8], [8], [8], [8], [], [], [10], [10], [5, 5], [9], [9], [6, 6], [7], [10], [9], [8], [10], [7], [8], [6, 6], [10], [4, 8]]
[[4, 8], [8], [8], [8], [7], [8], [8], [8], [8], [10], [], [10], [6, 6], [9], [], [10], [6, 6], [], [5, 5], [10], [9], [7], [10], [8], [8], [9], [9], [8]]
[[4], [8], [8], [], [10], [10], [8], [10], [9], [8], [8], [8], [6], [6], [10], [8], [7], [8], [10], [6], [5, 5], [7], [9], [8], [8], [9], [9], [6], [8]]
-EndAllocation

Instance: [[1], [225], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,29. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 3, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9], [4, 4, 4, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 6, 6, 6, 9, 9, 9, 9, 10, 10], [2, 3, 5, 5, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10], [2, 3], [4, 4, 4, 5, 5, 6, 6, 6, 9, 9, 9, 9], [8, 8, 8, 10, 10, 10, 10, 10]]
[[8, 8, 8], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [4, 4, 4, 5, 5, 6, 6, 6], [2, 3, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10], [8, 8, 8, 10, 10], [9, 9, 9, 9], [10, 10, 10, 10, 10], [4, 4, 4, 6, 6, 6], [2, 3, 5, 5]]
[[2, 3, 4, 4, 4, 10, 10], [8, 8, 8, 10], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 10], [6, 6, 6]]
[[2, 3, 4, 4, 4, 10, 10], [], [9, 9, 9, 9], [10, 10, 10], [5, 5, 6, 6, 6], [10, 10, 10], [10, 10, 10], [8, 8, 8, 10]]
[[2, 3, 9, 9, 9], [5, 5, 10, 10], [10], [9, 10, 10], [6, 6, 6, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8], [4, 4, 4]]
[[9, 10, 10], [10, 10, 10], [2, 9, 9, 9], [8, 8, 8], [10, 10, 10], [4, 4, 4], [3], [6, 6, 6, 10], [5, 5], [10, 10, 10]]
[[2, 9, 10], [10, 10], [10, 10], [4, 8, 8, 8], [10, 10], [9, 10], [], [3, 10, 10], [5, 5, 9, 9], [6, 6, 6], [4, 4, 10, 10]]
[[2, 3, 4, 4, 4, 5], [6, 6, 6], [5, 10, 10], [10, 10], [8, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [9], [9]]
[[2, 3, 4, 4, 4, 5], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [], [5, 9, 9], [10, 10], [9, 9], [6, 6, 6], [], [8, 8, 8]]
[[4, 4, 4, 5, 5], [8, 8], [2, 10, 10], [6, 6, 6], [10, 10], [], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9], [], [3, 9, 9], [8]]
[[2, 3, 10], [], [10, 10], [9, 9], [8, 8], [9, 9], [10, 10], [5, 5, 8], [10, 10], [10, 10], [6, 6, 6], [4, 4, 4], [10, 10], [], [10]]
[[2, 6, 6, 6], [10, 10], [10, 10], [10, 10], [9, 9], [], [9, 9], [4, 4, 4], [5, 5, 8], [10, 10], [], [], [3, 8, 8], [], [10, 10], [10, 10]]
[[8, 9], [2, 10], [10], [3, 5, 10], [10], [8, 10], [8, 10], [10], [5, 10], [9], [6, 6, 6], [9], [4, 9], [10], [10], [10], [4, 4, 10]]
[[6, 9], [6, 10], [10], [4, 10], [8, 9], [3, 10], [8, 8], [6, 9], [4, 5, 5], [10], [10], [9], [10], [2, 4, 10], [10], [10], [10], [10]]
[[2, 3, 8], [10], [10], [4, 9], [4, 6, 6], [10], [4, 9], [10], [10], [5, 10], [10], [10], [9], [10], [10], [8, 8], [6, 10], [9], [5, 10]]
[[2, 3, 9], [9], [10], [10], [10], [5, 5], [10], [8, 8], [10], [10], [8], [9], [9], [4, 10], [10], [4, 10], [6, 10], [10], [10], [4, 6, 6]]
[[2, 10], [5, 9], [10], [5, 8], [10], [3, 10], [9], [4, 4, 4], [10], [6, 6], [10], [9], [10], [8], [10], [10], [10], [10], [6, 8], [10], [9]]
[[2, 4, 4, 4], [10], [6, 6], [10], [6, 8], [10], [10], [10], [10], [10], [10], [10], [9], [9], [9], [8], [3, 5, 5], [10], [9], [8], [10], [10]]
[[5, 5], [10], [10], [2, 9], [3, 10], [10], [8], [8], [6, 6], [10], [10], [10], [4, 4, 4], [8], [10], [10], [10], [10], [9], [6], [9], [10], [9]]
[[4, 9], [8], [3, 10], [9], [10], [10], [10], [10], [10], [9], [], [8], [4, 8], [6, 6], [5, 5], [10], [10], [10], [10], [10], [2, 10], [], [9], [4, 6]]
[[2, 3, 5], [4, 4, 4], [8], [6, 6], [8], [10], [], [5], [9], [10], [10], [10], [9], [10], [10], [10], [10], [10], [8], [9], [10], [6], [10], [9], [10]]
[[10], [10], [10], [10], [10], [3, 6], [8], [], [10], [], [], [9], [9], [10], [9], [10], [10], [4, 4, 4], [5, 5], [10], [10], [6, 6], [10], [2, 9], [8], [8]]
[[3, 4, 4], [9], [10], [10], [10], [10], [], [9], [], [6], [5, 5], [8], [], [], [10], [2, 10], [6, 6], [10], [10], [10], [10], [9], [10], [10], [9], [8], [4, 8]]
[[2, 4, 4], [5, 5], [8], [10], [10], [10], [10], [10], [10], [10], [], [], [3], [6, 6], [8], [10], [9], [9], [10], [10], [9], [], [10], [10], [], [6], [9], [4, 8]]
[[10], [2, 4, 4], [8], [3], [6], [10], [10], [10], [6], [9], [9], [9], [4], [10], [], [6], [8], [], [9], [10], [10], [10], [10], [10], [10], [10], [5, 5], [], [8]]
-EndAllocation

Instance: [[1], [240], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10], [5, 5, 5, 5, 8, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6], [9, 9, 9, 9]]
[[8, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6, 8, 10], [10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6]]
[[5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8], [6, 6, 6, 6], [5, 9, 9, 9, 9]]
[[8, 10, 10, 10], [10], [9, 9, 9, 9], [5, 5, 5, 5], [8, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [5, 10, 10, 10], [5], [5, 10, 10, 10], [10, 10], [6, 6, 6, 6], [5, 8, 8]]
[[8, 8, 10], [8, 8, 8, 8], [6, 6, 6, 6], [9, 10], [10], [5, 5, 5, 5, 10], [10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8]]
[[5, 8, 8, 8], [5, 8, 8, 8], [5, 5, 9], [], [9, 10, 10], [8], [8, 10, 10], [8, 10, 10], [8, 10, 10], [9, 9], [6, 6, 6, 6]]
[[10, 10], [8, 8, 8], [9, 9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [8, 8, 8], [10, 10], [9, 9], [10, 10], [5, 5, 5, 5], [8]]
[[8, 8, 8], [8, 8, 8], [5, 5, 6], [5, 10, 10], [10, 10], [5, 6, 9], [9, 9], [10, 10], [9], [8, 8, 8], [], [6, 6, 10], [8, 10]]
[[8, 8, 8], [8], [10, 10], [6], [6], [8, 8], [5, 5, 5, 5], [10, 10], [8, 8], [10, 10], [10, 10], [9, 9], [6, 9, 9], [6, 8, 8]]
[[8, 8], [8, 8], [], [9, 10], [10, 10], [8, 8], [8, 8], [9, 9], [10, 10], [5, 5, 5, 5], [6, 6, 6], [10, 10], [6, 9], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [8, 8], [10, 10], [10, 10], [], [], [6, 6, 6], [8, 8], [9, 9], [10, 10], [10], [9, 9], [5, 5, 5, 5]]
[[8, 8], [8, 8], [5, 5, 5], [9, 9], [10, 10], [6, 6], [], [10, 10], [], [9, 9], [], [8, 8], [8, 8], [10, 10], [5, 6, 6], [10, 10], [8, 8]]
[[8, 8], [8, 8], [5, 10], [8, 10], [6, 9], [6, 6], [9], [9, 9], [10], [10], [8, 10], [10], [], [10], [6, 10], [8, 8], [5, 5, 5], [8, 8]]
[[6, 10], [8, 8], [5, 10], [5, 10], [10], [8, 8], [9], [5, 10], [], [9], [9], [8, 8], [10], [10], [6, 6], [6, 10], [8, 8], [8, 8], [5, 9]]
[[5, 10], [8, 8], [9], [8, 8], [10], [5, 9], [6, 10], [8, 8], [10], [6, 9], [10], [8, 8], [5, 10], [], [], [10], [6], [6, 9], [8, 8], [5, 10]]
[[8, 8], [5, 5, 5], [8, 8], [10], [6, 6], [10], [8, 8], [], [9], [10], [9], [10], [10], [9], [5, 10], [10], [6, 9], [6, 10], [], [8, 8], [8, 8]]
[[8], [8], [5, 8], [10], [6, 8], [10], [9], [6, 8], [10], [6, 8], [8], [9], [6, 8], [5, 9], [8], [10], [10], [10], [5, 8], [10], [10], [5, 9]]
[[8], [5, 8], [6, 8], [5, 8], [9], [9], [6, 8], [10], [10], [5, 9], [8], [9], [8], [6, 6], [10], [8], [10], [10], [10], [10], [8], [10], [5, 8]]
[[5, 8], [5, 8], [9], [10], [10], [6, 6], [5, 8], [5, 8], [10], [10], [9], [10], [10], [9], [10], [8], [8], [8], [8], [9], [8], [8], [6, 6], [10]]
[[10], [9], [5, 8], [5, 8], [6, 6], [9], [10], [10], [5, 8], [10], [10], [10], [10], [10], [9], [8], [8], [8], [8], [8], [], [9], [8], [5, 8], [6, 6]]
[[8], [5, 8], [9], [10], [10], [10], [10], [8], [10], [5, 8], [9], [5, 8], [9], [10], [9], [6, 6], [8], [], [8], [8], [10], [8], [], [6, 6], [5, 8], [10]]
[[5, 5], [5, 5], [10], [8], [9], [6], [8], [8], [9], [8], [6, 6], [6], [8], [10], [10], [10], [8], [9], [8], [8], [10], [10], [8], [9], [10], [10], [8]]
[[5, 5], [6], [9], [9], [5], [10], [5, 6], [10], [8], [8], [8], [8], [8], [6, 6], [10], [10], [8], [], [10], [8], [10], [8], [8], [10], [10], [9], [8], [9]]
[[5, 5], [8], [10], [8], [8], [], [10], [8], [10], [9], [6, 6], [5, 5], [10], [9], [8], [9], [8], [10], [8], [10], [8], [8], [9], [10], [6], [10], [], [6], [8]]
[[6], [8], [8], [8], [], [6], [6], [8], [8], [10], [10], [10], [10], [10], [10], [8], [5, 5], [10], [5, 5], [8], [9], [8], [6], [9], [9], [9], [], [8], [10], [8]]
-EndAllocation

Instance: [[1], [239], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 7]]
[[8, 8, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 10, 10], [5, 6], [6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9]]
[[7, 7, 7, 7, 7, 8], [9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [5, 10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 10, 10], [10, 10], [6, 6, 6, 6, 6, 10, 10], [7, 7, 7, 7, 7, 9, 9], [10]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 10, 10], [], [7, 7, 7, 7, 7, 10], [5, 9, 9, 9]]
[[10, 10, 10], [5], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 8, 10], [9, 9, 9], [10, 10, 10], [], [10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[7, 8], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [5], [10], [7, 7, 7, 7], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8]]
[[7, 8, 8], [5, 8, 8, 8], [8], [6, 6, 6, 6], [6, 10, 10], [7, 7, 7, 7], [10, 10], [10, 10], [10], [9, 9, 9], [8, 8, 8]]
[[5, 10, 10], [7, 7, 8], [9, 9], [6, 6, 6, 6], [8, 8, 8], [6, 10, 10], [8, 8, 10], [10, 10], [9], [], [7, 7, 7], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 7, 7], [5, 9, 10], [10, 10], [], [9, 9], [10, 10], [6, 6, 6, 6], [], [7, 7, 7], [10, 10], [8, 8, 8]]
[[6, 7, 10], [7, 8, 8], [8, 8], [7, 7, 7], [8], [8, 8, 8], [], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [], [5, 8, 9]]
[[5], [8, 8], [7, 10], [6, 7, 8], [8, 8], [8, 8], [6, 10], [7, 7, 7], [10, 10], [], [6, 6, 6], [9, 9], [9, 10], [10, 10], [8, 8]]
[[8, 8], [5, 7, 8], [8], [7, 7], [8, 8], [10, 10], [10, 10], [], [7, 7], [6, 6, 6], [6, 8], [9], [10, 10], [9, 9], [6, 10], [8, 8]]
[[6, 7, 7], [8, 8], [6, 8], [7, 7], [8, 10], [6, 10], [8, 10], [10], [6, 6, 7], [9, 10], [5], [8, 8], [8, 8], [10], [9, 9], [10], []]
[[10], [8, 8], [8, 8], [10], [5, 8], [6, 10], [7, 10], [], [6, 6, 6], [9, 9], [8, 8], [7, 7], [7, 7], [10], [10], [9], [6, 10], [8, 8]]
[[6, 10], [], [5, 10], [10], [7, 10], [8, 8], [8, 9], [9], [7, 7], [10], [6, 10], [6, 6], [8, 8], [10], [7, 7], [6, 9], [], [8, 8], [8, 8]]
[[7, 8], [8, 8], [6, 10], [8, 8], [7, 7], [9], [10], [], [10], [10], [10], [7, 7], [6, 6], [10], [9], [6, 6], [9], [8, 8], [8, 8], [5, 10]]
[[7, 8], [8, 8], [7, 7], [8, 8], [6, 6], [6, 9], [8, 8], [], [5, 9], [10], [9], [], [10], [], [10], [6, 10], [10], [10], [7, 7], [6, 10], [8, 8]]
[[5, 8], [6, 7], [10], [6, 8], [6, 8], [10], [6, 8], [10], [10], [6, 8], [9], [10], [9], [7, 7], [8], [7, 7], [8], [9], [10], [8], [8], [10]]
[[8], [6, 6], [6, 8], [5, 8], [10], [6, 8], [10], [8], [7], [9], [7, 7], [10], [10], [8], [8], [10], [10], [8], [10], [9], [6, 8], [7, 7], [9]]
[[5, 8], [10], [9], [10], [6, 7], [8], [9], [6, 7], [8], [8], [10], [8], [10], [6, 7], [8], [8], [8], [6, 7], [10], [10], [8], [9], [10], [6, 7]]
[[6, 7], [8], [7], [9], [9], [7], [8], [8], [8], [10], [8], [10], [8], [8], [6, 7], [10], [10], [10], [10], [9], [6, 6], [6, 7], [8], [10], [5, 8]]
[[7], [7], [7], [8], [6, 6], [10], [8], [6, 7], [6, 6], [8], [9], [10], [10], [8], [8], [10], [10], [8], [8], [8], [9], [10], [9], [7], [5, 8], [10]]
[[5, 7], [8], [8], [8], [8], [8], [8], [8], [10], [6, 6], [6], [6, 6], [10], [7], [7], [10], [7], [9], [7], [10], [10], [10], [10], [9], [8], [9], [8]]
[[8], [9], [8], [8], [8], [8], [8], [9], [7], [8], [10], [7], [10], [6, 6], [5], [8], [10], [7], [10], [10], [6, 6], [7], [10], [6], [10], [9], [8], [7]]
[[8], [7], [10], [8], [7], [10], [8], [7], [6], [10], [8], [9], [8], [5], [9], [7], [10], [7], [6, 6], [10], [6, 6], [], [10], [10], [9], [8], [8], [8], [8]]
[[10], [8], [6], [8], [6], [8], [8], [6], [10], [10], [7], [10], [8], [6], [8], [7], [7], [9], [6], [8], [9], [8], [10], [9], [8], [7], [7], [5], [10], [10]]
-EndAllocation

Instance: [[1], [238], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 9], [5, 6, 6, 6, 6, 6, 6, 9, 9]]
[[5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8], [8], [7, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 9, 9, 9, 9]]
[[7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6]]
[[5, 8, 8, 8, 8, 8, 8], [8, 8, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [7, 7, 7, 7]]
[[8, 8, 8, 8, 8], [8, 8, 8], [10, 10, 10, 10], [7, 10, 10], [5, 6, 6, 6], [6, 6, 6, 7, 7, 7], [9, 9, 9, 9, 9]]
[[10, 10, 10, 10], [10, 10], [5, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 6, 6, 7, 10], [9, 9, 9, 9], [7, 7, 7, 10], [9], [], [10, 10, 10], [6, 6, 6, 6, 10], [8, 8, 8, 8]]
[[5, 6], [6, 6, 6, 6, 6], [9, 9, 9], [], [10, 10, 10], [9, 9], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8]]
[[6, 6], [8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10], [8, 8], [9, 9, 9], [10, 10], [7, 7, 7, 7], [9, 9], [5, 8, 8, 8]]
[[7, 7, 7], [8, 8, 8], [6, 9, 9], [6, 7, 10], [6, 9, 9], [8, 8, 8], [6, 9, 10], [10, 10], [], [6, 10, 10], [8, 8], [5, 6]]
[[8, 8], [6, 6, 8], [10, 10], [8, 9], [10, 10], [6, 6, 6, 6], [9, 9], [9, 9], [10], [8, 8], [7, 7, 7], [7, 10], [5, 8, 8]]
[[6, 8, 8], [6, 6], [8, 8], [9, 9], [7, 7, 7], [8, 8], [10, 10], [8, 8], [9, 9], [6, 6, 6], [10, 10], [7, 9], [10, 10], [5]]
[[6, 6, 6], [9], [9, 9], [7, 7, 7], [8, 8], [10, 10], [8, 8], [7], [10, 10], [], [6, 6, 6], [8, 8], [9, 9], [10, 10], [5, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [9, 9], [5, 6, 6], [6, 6, 6], [9, 10], [9, 9], [10], [10, 10], [7, 7], [10], [7, 7], [6, 10], [8, 8]]
[[8, 8], [8, 8], [6, 10], [7, 7], [7, 10], [6, 6, 6], [10], [6, 10], [7], [9, 9], [], [9, 9], [8, 8], [5, 9], [10], [6, 10], [8, 8]]
[[8, 8], [5, 6, 6], [8, 8], [9, 9], [7, 7], [10], [10], [], [8, 8], [6, 6, 6], [8, 8], [7, 9], [7, 10], [10], [10], [6, 10], [9, 9], []]
[[6, 10], [8, 8], [5, 6, 6], [6, 10], [10], [], [10], [8, 8], [7, 7], [9], [9], [9], [6, 10], [8, 8], [8, 8], [6, 9], [7, 7], [10], [9]]
[[6, 9], [6, 9], [5, 9], [7, 8], [6, 10], [10], [10], [7, 7], [10], [10], [8, 8], [6, 7], [10], [], [9], [], [8, 8], [6, 9], [8, 8], [6, 8]]
[[8, 8], [6, 10], [6, 10], [6, 10], [6, 8], [9], [8], [10], [9], [7, 7], [], [6, 10], [9], [], [7, 7], [8, 8], [9], [10], [9], [8, 8], [5, 6]]
[[6, 8], [9], [6, 8], [8], [6, 8], [8], [10], [7, 7], [8], [10], [6, 6], [8], [9], [10], [9], [5, 9], [9], [10], [7, 7], [10], [10], [6, 8]]
[[6, 8], [7, 7], [6, 7], [9], [6, 7], [10], [6, 6], [9], [10], [8], [8], [9], [8], [8], [9], [10], [9], [8], [6, 8], [10], [10], [10], [5, 8]]
[[9], [6, 7], [9], [10], [9], [5, 8], [10], [6, 7], [6, 7], [9], [8], [8], [8], [10], [8], [8], [10], [9], [6, 6], [8], [10], [6, 7], [10], [8]]
[[5, 8], [10], [8], [9], [9], [10], [10], [8], [10], [9], [6, 7], [8], [9], [7], [8], [9], [6, 7], [10], [8], [10], [6, 7], [8], [6, 6], [6], [8]]
[[10], [10], [6], [7], [5, 8], [8], [7], [10], [6, 7], [9], [8], [8], [6, 6], [9], [9], [8], [8], [8], [6, 6], [10], [9], [7], [8], [10], [9], [10]]
[[8], [8], [8], [10], [10], [9], [10], [8], [7], [9], [], [5, 7], [7], [10], [8], [7], [6, 6], [8], [6, 6], [9], [10], [9], [8], [9], [8], [10], [6, 6]]
[[7], [8], [8], [8], [8], [6], [9], [6, 6], [10], [7], [10], [7], [10], [6, 6], [10], [9], [10], [8], [8], [7], [5, 6], [8], [], [9], [10], [9], [9], [8]]
[[8], [8], [7], [6, 6], [10], [6], [10], [9], [7], [9], [5, 6], [9], [9], [10], [], [10], [8], [8], [], [7], [6, 6], [8], [10], [9], [10], [8], [7], [8], [8]]
[[6], [9], [8], [6], [8], [8], [8], [7], [8], [10], [7], [6], [10], [10], [10], [8], [9], [9], [10], [7], [9], [8], [5], [6], [10], [9], [6], [7], [6], [8]]
-EndAllocation

Instance: [[1], [237], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[3, 5, 5, 8, 8, 10, 10, 10, 10, 10], [2, 4, 5, 6, 6, 6, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 10, 10], [2, 5, 5, 5, 6, 6, 6, 7, 7, 7, 9, 10, 10, 10, 10], [3, 4, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [5, 5, 5, 8, 8, 9, 9, 10, 10, 10], [3, 4, 7, 7, 7, 10, 10, 10, 10, 10], [2, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 10, 10, 10, 10], [3, 4, 6, 6, 6, 9, 9, 10], [5, 5, 10, 10, 10, 10, 10], [2, 5, 8, 8, 10, 10, 10, 10]]
[[], [7, 7, 7, 9, 9, 10], [3, 4, 8, 8, 10, 10, 10], [2, 10, 10, 10, 10, 10], [10, 10, 10], [5, 5, 5, 6, 6, 6, 10, 10]]
[[], [3, 10, 10, 10, 10], [10, 10, 10], [2, 8, 8, 10, 10], [4, 7, 7, 7, 9, 9], [10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 10]]
[[], [6, 6, 6], [7, 7, 7, 10], [10, 10, 10, 10], [10, 10, 10, 10], [5, 8, 8, 9, 9], [2, 3, 10, 10, 10], [4, 5, 5, 10, 10]]
[[], [4, 5, 5, 6, 6, 6], [10, 10, 10], [3, 7, 7, 7, 10], [10, 10, 10], [9, 10, 10], [2, 10, 10, 10], [8, 8, 10, 10], [5, 9]]
[[], [7, 10, 10], [9, 9, 10], [2, 5, 5, 5, 10], [10, 10], [6, 6, 6, 10], [3, 8, 8], [10, 10, 10], [4, 7, 7, 10], [10, 10, 10]]
[[10], [10, 10], [3, 10, 10], [10, 10], [2, 10, 10], [7, 7, 7], [8, 8, 10], [6, 9, 9], [10, 10], [4, 10, 10], [5, 5, 5, 6, 6]]
[[10], [3, 7, 7], [8, 8, 10], [10, 10], [10, 10], [2, 4, 9, 9], [6, 6, 6], [10, 10], [5, 5, 5, 10], [10, 10], [10, 10], [7, 10]]
[[], [10, 10], [3, 5, 8, 8], [10, 10], [5, 5, 10], [10, 10], [10, 10], [10, 10], [2, 9, 10], [6, 6, 6], [10, 10], [4, 9], [7, 7, 7]]
[[], [10, 10], [5, 10], [5, 5, 10], [10, 10], [10, 10], [7, 10], [10, 10], [2, 6, 6, 6], [10, 10], [10], [9, 9], [3, 4, 7, 7], [8, 8]]
[[], [10, 10], [8, 8], [6, 6, 6], [7, 7, 7], [9, 9], [3], [10, 10], [10, 10], [2, 10], [4, 10], [10, 10], [5, 5, 5], [10, 10], [10, 10]]
[[], [2, 7, 7], [10, 10], [8, 8], [4, 10], [9, 9], [6, 6, 6], [10, 10], [10, 10], [3, 5, 5, 5], [10, 10], [10], [7], [], [10, 10], [10, 10]]
[[10], [10], [8, 10], [4, 7, 7], [3, 5, 10], [10], [6, 6, 6], [10], [9, 9], [5, 10], [10], [5, 10], [7, 10], [10], [8, 10], [2, 10], [10]]
[[10], [7, 10], [9, 9], [3, 10], [10], [2, 10], [10], [5, 10], [10], [8, 8], [5, 10], [7, 7], [10], [10], [4, 10], [5, 10], [10], [6, 6, 6]]
[[10], [10], [4, 10], [10], [8, 9], [10], [10], [7, 7], [10], [2, 5, 10], [10], [6, 10], [6, 6], [3, 10], [7, 10], [10], [5, 5], [8, 9], [10]]
[[10], [4, 10], [10], [2, 10], [10], [10], [10], [10], [10], [8, 8], [3, 6, 6], [10], [10], [7, 7], [5, 5, 5], [10], [10], [10], [6, 9], [7, 9]]
[[9], [2, 10], [7], [10], [10], [5, 10], [10], [4, 9], [5, 5], [3, 10], [10], [8, 8], [10], [6, 10], [10], [6, 6], [7, 7], [10], [10], [10], [10]]
[[10], [10], [6, 8], [10], [9], [6, 8], [7, 7], [10], [4, 9], [5, 7], [10], [10], [10], [10], [5, 5], [3, 6], [2, 10], [10], [10], [10], [10], [10]]
[[10], [9], [10], [10], [8], [5, 8], [10], [6, 6], [7, 7], [10], [7], [10], [4, 6], [3, 9], [10], [10], [2, 10], [5, 5], [10], [10], [10], [10], [10]]
[[10], [10], [7], [10], [9], [5, 8], [10], [10], [7], [6, 6], [10], [10], [3, 9], [10], [10], [10], [10], [2, 10], [6], [8], [10], [4, 5], [5, 7], [10]]
[[10], [10], [10], [10], [5, 5], [8], [6], [10], [3, 9], [6, 6], [5, 7], [7], [8], [10], [10], [10], [10], [9], [7], [10], [4], [10], [10], [10], [2, 10]]
[[10], [9], [2, 10], [10], [6], [10], [8], [10], [5, 5], [7], [9], [10], [10], [10], [6], [10], [7], [3, 10], [6], [7], [5, 8], [4], [10], [10], [10], [10]]
[[10], [10], [9], [10], [10], [10], [9], [8], [10], [5, 5], [10], [10], [10], [10], [], [2, 3, 6], [6, 6], [5, 7], [10], [8], [10], [7], [7], [10], [10], [], [4]]
[[10], [9], [2, 9], [10], [10], [10], [7], [5], [3], [10], [6], [10], [10], [10], [7], [10], [5, 5], [7], [10], [4], [10], [8], [10], [10], [], [10], [6, 6], [8]]
[[10], [10], [4], [], [6, 6], [5, 7], [10], [10], [3, 6], [10], [10], [9], [10], [], [8], [9], [10], [10], [10], [5, 5], [7], [10], [], [], [10], [10], [2, 10], [8], [7]]
[[6], [9], [10], [], [5], [6], [8], [10], [10], [7], [3], [10], [9], [2, 6], [10], [10], [10], [10], [10], [8], [7], [10], [], [10], [4], [10], [7], [10], [5, 5], [10]]
-EndAllocation

Instance: [[1], [236], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 3, 5, 5, 5, 5, 5, 10, 10, 10, 10, 10], [4, 6, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 10, 10], [2, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 10, 10, 10, 10], [3, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10], [5, 5, 5, 5, 5, 9, 9, 10, 10, 10], [3, 4, 7, 7, 7, 7, 10, 10, 10, 10], [2, 6, 10, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 7, 10, 10, 10], [3, 4, 6, 9, 9, 10, 10, 10], [5, 5, 5, 5, 5, 10, 10, 10], [2, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 7, 9, 9], [3, 4, 10, 10, 10, 10], [2, 10, 10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 10, 10]]
[[], [3, 10, 10, 10, 10], [9, 10, 10], [2, 10, 10, 10, 10], [4, 7, 7, 7, 7, 9], [10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 10]]
[[], [6], [7, 7, 7, 7, 10], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 9, 9], [2, 3, 10, 10, 10], [4, 5, 10, 10, 10]]
[[], [4, 5, 5, 5, 5, 5, 6], [10, 10, 10], [3, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [2, 10, 10, 10], [10, 10, 10], [9, 9]]
[[], [10, 10, 10], [9, 9, 10], [2, 5, 5, 5, 5, 5], [10, 10, 10], [6, 10, 10], [3], [10, 10, 10], [4, 7, 7, 7, 7], [10, 10, 10]]
[[10], [10, 10], [3, 10, 10], [10, 10], [2, 10, 10], [7, 7, 7, 7], [10, 10], [6, 9, 9], [10, 10], [4, 10, 10], [5, 5, 5, 5, 5]]
[[], [3, 7, 7, 7], [10, 10], [10, 10], [10, 10], [2, 4, 9, 9], [6, 10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [7, 10]]
[[], [10, 10], [3, 10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [2, 7, 10], [6, 9, 9], [10, 10], [4], [7, 7, 7]]
[[], [10, 10], [5, 10], [5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [10, 10], [2, 6, 7, 7], [10, 10], [], [9, 9], [3, 4, 7, 7], [10, 10]]
[[], [10, 10], [10, 10], [5, 6, 10], [7, 7, 7], [9, 9], [3], [10, 10], [10, 10], [2, 10], [4, 10], [7], [5, 5, 5, 5], [10, 10], [10, 10]]
[[], [2, 7, 7], [10, 10], [10, 10], [4, 10], [9, 9], [6], [10, 10], [10, 10], [3, 5, 5, 5], [10, 10], [10], [7, 7], [], [5, 5, 10], [10, 10]]
[[10], [10], [2, 10], [4, 7, 7], [3, 5, 10], [5, 10], [6, 10], [10], [9, 9], [5, 10], [10], [5, 10], [7, 10], [10], [5, 10], [7, 10], [10]]
[[10], [7, 10], [9, 9], [3, 10], [10], [2, 10], [10], [5, 10], [10], [7, 10], [5, 10], [7, 7], [10], [10], [4, 10], [5, 5, 5], [10], [6, 10]]
[[10], [5, 9], [4, 10], [10], [5, 9], [10], [10], [7, 7], [10], [2, 10], [10], [3, 10], [6, 10], [10], [7, 10], [10], [5, 5, 5], [7, 10], [10]]
[[10], [4, 10], [10], [2, 10], [10], [10], [10], [10], [10], [6, 10], [3, 10], [10], [5, 5], [7, 7], [5, 5, 5], [10], [10], [10], [7, 9], [7, 9]]
[[9], [2, 10], [7, 7], [10], [10], [5, 5], [10], [9], [5, 5, 5], [3, 10], [10], [4, 10], [10], [10], [10], [6, 10], [7, 7], [10], [10], [10], [10]]
[[10], [10], [7, 7], [10], [9], [5, 5], [7, 7], [10], [4, 10], [5, 5], [10], [9], [10], [10], [10], [3, 5, 6], [2, 10], [10], [10], [10], [10], [10]]
[[10], [9], [10], [10], [10], [7, 7], [10], [6], [5, 5], [10], [7, 7], [10], [4, 10], [3, 9], [10], [10], [2, 10], [5], [5, 5], [10], [10], [10], [10]]
[[10], [10], [7], [10], [9], [7], [10], [10], [7], [5, 6], [10], [10], [3, 9], [10], [10], [10], [10], [2, 5, 5], [10], [10], [10], [4, 5], [5, 7], [10]]
[[10], [10], [10], [10], [5, 5], [7], [10], [10], [3, 9], [6, 7], [5, 5], [7], [10], [10], [10], [5], [10], [9], [7], [10], [4], [10], [10], [10], [2, 10]]
[[10], [9], [2], [10], [10], [10], [10], [10], [5, 5], [5, 7], [9], [10], [10], [10], [6], [10], [7], [3, 10], [10], [7], [5, 5], [4, 7], [10], [], [10], [10]]
[[10], [10], [9], [10], [10], [10], [9], [10], [10], [5, 5], [10], [10], [10], [10], [], [2, 3, 6], [5, 5], [5, 7], [7], [10], [10], [7], [7], [10], [10], [], [4]]
[[10], [9], [2, 9], [10], [10], [10], [7], [5, 5], [3], [10], [10], [10], [10], [10], [7], [10], [5, 5], [7], [10], [4], [10], [5], [10], [7], [], [10], [6], [10]]
[[10], [10], [4], [], [10], [5, 5], [10], [10], [3, 6], [10], [10], [9], [7], [], [5], [9], [10], [10], [10], [5, 5], [7], [10], [7], [10], [10], [10], [2, 10], [], [7]]
[[10], [9], [10], [], [5, 5], [7], [10], [10], [10], [7], [3], [10], [9], [2, 6], [10], [10], [10], [], [5], [10], [7], [10], [], [10], [4], [10], [7], [10], [5, 5], [10]]
-EndAllocation

Instance: [[1], [235], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 7, 8, 8, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 10, 10, 10, 10, 10]]
[[10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [6, 7, 8, 8, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10], [4, 7, 10, 10, 10, 10, 10], [6, 8, 8, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10]]
[[], [7, 10, 10, 10, 10], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 10], [6, 10, 10, 10, 10], [8, 8, 10, 10, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [7, 10, 10, 10], [10, 10, 10, 10], [8, 8, 10, 10]]
[[], [10, 10, 10, 10], [7], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 8, 8, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [7, 10, 10], [6, 10, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [8, 8], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 7], [8, 8, 10], [10, 10, 10], [10, 10, 10], [6], [4, 4, 4, 10]]
[[], [10, 10], [10, 10], [4, 4, 10, 10], [8, 8, 10], [6, 10, 10], [7, 10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [4, 4, 8, 8], [10, 10], [4, 4, 4, 4, 4, 4], [7, 10], [10, 10], [4, 10, 10], [10, 10], [6, 10, 10], [10, 10]]
[[], [10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [4, 4, 4, 10], [10, 10], [6, 8, 8], [10, 10], [7, 10]]
[[], [4, 4, 4, 4, 4], [10, 10], [10], [8, 8], [10, 10], [7, 10], [10, 10], [6, 10], [10, 10], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10]]
[[], [8, 8], [10, 10], [10, 10], [4, 4, 4, 4], [6, 10], [7], [], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [7], [], [4, 4, 4, 4, 4], [8, 8], [6, 10], []]
[[10], [10], [7, 10], [8, 10], [4, 4, 10], [6, 10], [10], [10], [4, 4, 10], [4, 4, 10], [8, 10], [4, 10], [4, 4, 10], [10], [10], [10], [10]]
[[10], [4, 4, 10], [4, 4, 4, 4], [10], [10], [10], [4, 10], [10], [7, 10], [8, 10], [6, 10], [8, 10], [10], [4, 4, 10], [10], [10], [10], [10]]
[[10], [4, 10], [6, 10], [7, 10], [10], [4, 10], [4, 10], [10], [4, 4, 4, 4], [10], [8, 8], [4, 10], [10], [4, 10], [10], [10], [10], [10], [10]]
[[10], [10], [10], [4, 10], [10], [4, 10], [4, 10], [4, 4, 4, 4], [10], [8, 8], [10], [10], [10], [7], [6, 10], [10], [4, 10], [10], [10], [4, 10]]
[[10], [10], [4, 4, 4, 4], [10], [10], [10], [10], [10], [6, 7], [10], [10], [4, 4, 4, 4], [10], [10], [8, 8], [10], [10], [10], [10], [4, 10], [10]]
[[10], [4, 4, 4], [4, 10], [10], [10], [8], [10], [6, 7], [8], [4, 4, 4], [10], [4, 10], [4, 10], [10], [10], [10], [10], [10], [10], [10], [10], [10]]
[[10], [10], [10], [4, 4, 6], [10], [4, 10], [10], [10], [10], [8], [10], [10], [10], [7], [10], [10], [10], [4, 4, 4], [4, 4, 4], [10], [8], [10], [10]]
[[10], [10], [10], [8], [10], [10], [4, 4, 4], [10], [10], [10], [8], [10], [10], [10], [10], [10], [7], [4, 4, 4], [10], [10], [4, 4, 4], [10], [6], [10]]
[[10], [4, 4, 4], [4, 4, 4], [10], [8], [10], [10], [10], [6], [10], [], [10], [10], [10], [8], [10], [10], [10], [10], [4, 4, 4], [7], [10], [10], [10], [10]]
[[10], [10], [], [10], [10], [4, 4, 4], [4, 4], [10], [10], [10], [10], [10], [], [8], [10], [6], [10], [10], [10], [10], [10], [4, 4, 4], [10], [8], [10], [4, 7]]
[[10], [10], [], [], [10], [10], [10], [10], [10], [10], [4, 8], [4, 4], [10], [10], [4, 4, 4], [10], [8], [10], [10], [6], [10], [10], [], [7], [4, 4, 4], [10], [10]]
[[10], [10], [10], [4, 4, 4], [10], [4, 4], [10], [8], [7], [10], [10], [10], [10], [], [4, 4, 4], [], [10], [8], [10], [], [10], [], [10], [10], [10], [10], [10], [4, 6]]
[[8], [7], [10], [], [8], [10], [10], [10], [], [10], [10], [], [10], [10], [10], [6], [10], [10], [4, 4, 4], [10], [], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [], [10]]
[[10], [10], [], [7], [10], [10], [], [4, 4], [10], [10], [8], [8], [10], [], [], [4, 4], [6], [10], [10], [10], [4], [10], [10], [10], [10], [4, 4], [10], [4, 4], [10], [10]]
-EndAllocation

Instance: [[1], [234], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10], [7, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [5, 5, 7, 9, 10, 10, 10, 10, 10], [4, 4, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 5, 5, 5, 5, 8, 10]]
[[], [4, 4, 4, 4, 4, 8, 9, 10, 10], [7, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 9, 10], [4, 4, 4, 4, 4, 10, 10, 10], [7, 8, 10, 10], [10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [5, 5, 5, 5, 7, 8, 9], [5, 10, 10, 10, 10], [4, 4, 4, 4, 4], [10, 10, 10, 10], [5, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [7, 10, 10, 10], [10, 10, 10, 10], [], [4, 4, 4, 4, 4, 5, 5, 5, 5], [8, 9, 10, 10], [5, 5, 10, 10, 10]]
[[10], [10, 10, 10], [10, 10], [7, 10, 10], [8, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 9], [10, 10, 10], [5, 5, 5, 5, 5, 5]]
[[], [10, 10, 10], [10, 10, 10], [], [5, 5, 5, 5, 5, 5], [10, 10, 10], [7, 10, 10], [4, 4, 4, 4, 4, 10], [10, 10, 10], [8, 9, 10]]
[[10, 10], [8, 9, 10], [5, 5, 10], [7, 10], [10, 10], [10, 10], [4, 4, 5, 5, 5, 5], [10, 10], [4, 4, 4, 10], [10, 10], [10, 10]]
[[10], [10, 10], [8, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [5, 9, 10], [10, 10], [7, 10], [4, 4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [5, 5, 5], [10, 10], [10, 10], [7, 9], [10, 10], [10, 10], [5, 5, 5, 8], [4, 4, 4, 4, 4], [10, 10], [10, 10]]
[[], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [9, 10], [10, 10], [7], [10, 10], [10, 10], [8, 10], [5, 5], [4, 4, 4, 4, 4], [10, 10]]
[[], [], [9, 10], [10, 10], [5, 5], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [7, 10], [5, 5, 5, 5], [10, 10], [10, 10], [8], [10, 10]]
[[], [10, 10], [7, 9], [10], [10, 10], [], [10, 10], [], [10, 10], [5, 5, 10], [8], [10, 10], [4, 4, 4, 4, 4], [5, 5, 5, 5], [10, 10], [10, 10]]
[[10], [10], [4, 10], [10], [5, 10], [10], [5, 10], [5, 10], [10], [4, 4, 10], [7, 10], [4, 4, 10], [5, 10], [5, 10], [5, 10], [10], [8, 9]]
[[10], [4, 10], [10], [10], [4, 4, 4, 4], [10], [5, 10], [5, 10], [10], [5, 10], [10], [5, 10], [10], [10], [5, 10], [8, 9], [5, 10], [7, 10]]
[[10], [4, 10], [10], [10], [10], [5, 10], [10], [10], [10], [5, 10], [10], [10], [8, 9], [7, 10], [5, 5, 5], [4, 4, 4, 4], [5, 10], [10], [10]]
[[9], [10], [10], [5, 10], [10], [4, 10], [10], [10], [10], [5, 10], [10], [5, 5, 5], [10], [10], [7, 8], [10], [10], [4, 4, 4, 4], [5, 10], [10]]
[[10], [10], [10], [10], [10], [7, 8], [10], [10], [4, 10], [9], [5, 5, 5], [10], [10], [10], [5, 5, 5], [10], [10], [10], [4, 4, 4, 4], [10], [10]]
[[10], [4, 5, 5], [10], [10], [4, 5, 5], [4, 10], [10], [10], [10], [4, 7], [4, 10], [10], [10], [9], [10], [10], [5, 5], [8], [10], [10], [10], [10]]
[[10], [4, 4], [10], [5, 7], [10], [10], [10], [10], [10], [10], [10], [9], [4, 4, 4], [10], [10], [10], [5, 5], [5, 5], [5, 8], [10], [10], [10], [10]]
[[10], [4, 4], [5, 5], [10], [10], [9], [10], [10], [10], [10], [5, 5], [10], [8], [10], [10], [4, 4, 4], [10], [5, 5], [10], [10], [7], [10], [10], [10]]
[[7], [5, 8], [4, 4, 4], [10], [4, 5], [4, 9], [10], [10], [10], [], [10], [10], [5, 5], [10], [5, 5], [10], [10], [10], [10], [10], [], [10], [10], [10], [10]]
[[10], [10], [5, 5], [9], [10], [10], [10], [5, 5], [10], [10], [4, 4], [10], [7], [10], [8], [10], [10], [10], [], [10], [10], [4, 4, 4], [], [10], [10], [5, 5]]
[[10], [], [10], [8], [10], [10], [10], [4, 4, 4], [10], [10], [10], [7], [10], [10], [4, 4], [10], [9], [], [], [10], [10], [10], [10], [10], [5, 5], [5, 5], [5, 5]]
[[10], [8], [10], [4, 4, 4], [10], [10], [10], [10], [10], [4, 7], [10], [9], [10], [10], [10], [], [10], [5, 5], [], [5, 5], [4], [5, 5], [], [10], [10], [10], [], [10]]
[[10], [], [5, 5], [10], [], [10], [10], [10], [10], [10], [10], [8], [10], [10], [], [], [10], [5, 5], [7], [9], [], [10], [5, 5], [4, 4], [10], [10], [10], [10], [4, 4, 4]]
[[9], [10], [4], [10], [10], [5, 5], [4, 4], [10], [5, 5], [4, 4], [], [5, 5], [10], [10], [10], [], [], [7], [8], [10], [10], [10], [10], [], [10], [10], [], [10], [10], [10]]
-EndAllocation

Instance: [[1], [233], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,30. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,30:
-StartAllocation
[[3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9]]
[[3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7]]
[[3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 9, 9, 9]]
[[3, 3, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9, 10, 10, 10], [7, 7, 7, 7, 10, 10, 10]]
[[3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7], [10]]
[[3, 8, 8, 8, 8, 8], [3, 8, 8, 8, 8, 8], [9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 8], [10, 10]]
[[3, 3, 10, 10, 10], [], [9, 9, 9], [8, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6], [6, 6, 7, 7, 7, 7]]
[[8, 8, 8], [8, 8, 8, 8], [3, 10, 10, 10], [3, 7, 7, 7, 7], [], [6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8]]
[[3, 3, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [], [10, 10, 10], [], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8]]
[[3, 3, 8, 8], [8, 8, 8], [], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7], [10, 10], [8, 8, 8], [8, 8, 8]]
[[8, 8], [8, 8, 8], [6, 6, 9], [3, 3, 6, 6, 7], [8, 8, 8], [10, 10], [], [7, 7, 7], [9, 9], [10, 10], [8, 8, 8], [10, 10]]
[[8, 9], [8, 8, 8], [10, 10], [8], [10, 10], [7, 7, 7], [], [8, 8, 8], [9], [10, 10], [6, 6, 6, 6], [3, 3, 7, 9], [8, 8, 8]]
[[3, 3, 6, 8], [8, 8], [8, 8], [9, 10], [9, 9], [7, 7, 7], [10, 10], [7, 10], [6, 6, 6], [8, 8], [], [8, 8], [10, 10], [8, 8]]
[[3, 3, 7, 8], [8, 8], [8, 8], [8, 10], [8, 10], [6, 10], [8, 10], [7, 7, 7], [9], [], [6, 6, 6], [10], [9, 9], [8, 10], [8, 8]]
[[10, 10], [3, 3, 8], [8, 8], [8, 8], [9, 9], [6], [6, 6, 6], [8, 8], [8, 8], [7, 7], [10, 10], [], [9], [10, 10], [7, 7], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [3, 3, 6, 6], [10], [], [10], [7, 7], [8, 10], [10], [9], [9, 9], [7, 7], [6, 10], [6, 10], [8, 8]]
[[8, 8], [3, 3, 9], [8, 8], [8], [7, 7], [7, 10], [], [9], [8, 8], [6, 6], [7, 10], [8, 8], [10], [10], [10], [6, 9], [6, 10], [8, 8]]
[[6, 10], [8], [3, 3, 9], [10], [], [], [10], [6, 9], [7, 7], [10], [6, 10], [10], [7, 7], [8, 8], [8, 8], [6, 9], [8, 8], [8, 8], [8, 8]]
[[3, 3, 8], [8, 8], [6, 6], [8, 8], [6, 7], [6], [], [8, 8], [10], [10], [10], [7, 7], [9], [9], [10], [10], [7, 9], [10], [8, 8], [8, 8]]
[[3, 3, 10], [8], [8, 8], [10], [10], [10], [], [], [9], [6, 6], [9], [7, 7], [8, 8], [10], [7, 7], [8, 8], [9], [10], [6, 6], [8, 8], [8, 8]]
[[6, 8], [3, 9], [6, 8], [3, 10], [6, 8], [10], [8], [10], [7, 7], [8], [9], [8], [9], [8], [8], [8], [8], [10], [10], [6, 8], [7, 7], [10]]
[[3, 10], [3, 9], [10], [10], [9], [6, 8], [8], [7, 7], [8], [8], [10], [8], [10], [8], [8], [7, 7], [6, 6], [8], [8], [9], [10], [6, 8], [8]]
[[3, 10], [3, 8], [9], [8], [8], [8], [10], [8], [9], [10], [6, 7], [6, 7], [10], [10], [10], [9], [8], [8], [8], [8], [6, 7], [8], [8], [6, 7]]
[[3, 8], [3, 8], [8], [6, 7], [6, 7], [7], [8], [10], [8], [8], [10], [8], [10], [8], [8], [9], [9], [6, 6], [10], [10], [7], [8], [10], [9], [8]]
[[3, 7], [3, 7], [8], [8], [10], [8], [8], [8], [9], [8], [8], [6, 6], [10], [10], [8], [10], [10], [8], [9], [8], [9], [7], [8], [6, 6], [10], [7]]
[[3, 8], [7], [8], [8], [8], [8], [9], [8], [10], [], [10], [10], [10], [6, 6], [6, 6], [7], [8], [8], [8], [8], [10], [9], [7], [10], [8], [9], [3, 7]]
[[3, 8], [10], [8], [8], [8], [8], [8], [7], [10], [8], [7], [8], [], [6, 6], [3], [8], [10], [9], [7], [6, 6], [7], [10], [8], [9], [10], [9], [10], [8]]
[[7], [7], [8], [8], [8], [8], [8], [7], [8], [10], [8], [9], [9], [10], [], [10], [], [6], [8], [10], [6, 6], [8], [10], [9], [7], [10], [8], [8], [3, 3, 6]]
[[10], [8], [3, 7], [10], [8], [8], [3, 7], [6], [], [10], [7], [6], [], [8], [10], [8], [9], [9], [6], [7], [9], [8], [8], [10], [8], [8], [6], [8], [10], [8]]
-EndAllocation

Instance: [[1], [248], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10], [2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10]]
[[9, 9, 10, 10], [4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 10, 10], [2, 3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10], [5, 6, 6, 6, 6, 6, 7, 7, 10, 10, 10], [2, 3, 8, 8, 8, 8, 9, 9, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10]]
[[], [6, 10, 10, 10, 10, 10, 10], [4, 5, 8, 8, 8, 8, 10, 10], [2, 6, 6, 6, 6, 7, 7, 9, 9], [3, 10, 10, 10, 10, 10, 10]]
[[], [8, 8, 8, 8, 10, 10], [10, 10, 10, 10, 10], [3, 4, 5, 6, 6, 6, 6, 6, 7, 7], [9, 9, 10, 10], [2, 10, 10, 10, 10, 10]]
[[], [8, 8, 8, 8, 10], [6, 6, 6, 6, 6, 10], [7, 7, 10, 10, 10], [2, 4, 9, 9, 10, 10], [5, 10, 10, 10], [3, 10, 10, 10, 10]]
[[], [4, 10, 10, 10], [3, 5, 7, 7, 10], [6, 6, 6, 6, 6, 10], [2, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 10, 10], [10, 10, 10]]
[[], [4, 10, 10, 10], [2, 3, 5, 10, 10], [6, 6, 6, 6, 6], [9, 9, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 10, 10]]
[[], [6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 9, 9], [10, 10, 10], [4, 5], [10, 10], [8, 8, 8, 8], [2, 10, 10, 10], [3, 10, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [4, 8, 9, 9], [3, 7, 7, 10], [2, 5, 10, 10], [], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[], [10, 10], [4, 7, 7, 10], [6, 6, 6, 6], [6, 8, 9], [3, 10, 10], [10, 10], [8, 8, 8], [10, 10], [10, 10], [2, 10, 10], [5, 9, 10]]
[[], [10, 10], [10, 10], [3, 7, 7], [5, 9, 9], [4, 6, 10], [6, 6, 6, 6], [8, 10], [10, 10], [10, 10], [10, 10], [2, 8, 8, 8], [10, 10]]
[[], [10, 10], [10], [5, 10], [2, 9, 9], [6, 6, 6, 6], [8, 10], [3, 10, 10], [10, 10], [4, 7, 7], [8, 8, 8], [10, 10], [6, 10], [10, 10]]
[[], [6, 6, 6], [10, 10], [8, 8], [6, 7, 7], [10, 10], [4, 5, 10], [8, 8], [6, 10], [10, 10], [10], [3, 10], [2, 10, 10], [10, 10], [9, 9]]
[[], [3, 6, 6], [8, 8], [6, 6, 6], [5, 10], [10, 10], [7, 7], [9, 9], [10, 10], [10, 10], [4, 10], [10], [2, 10], [10, 10], [8, 8], [10, 10]]
[[], [10, 10], [7, 7], [6, 6, 6], [10, 10], [10, 10], [3, 10], [10, 10], [9, 9], [2], [5, 8], [10], [10, 10], [4], [8, 8], [10, 10], [6, 6, 8]]
[[10], [4, 10], [7, 7], [10], [8, 10], [8, 10], [6, 6, 6], [10], [3, 10], [6, 6], [10], [8, 10], [9, 9], [10], [8, 10], [10], [2, 10], [5, 10]]
[[10], [10], [7, 7], [2, 6, 10], [8, 8], [10], [8, 10], [6, 10], [10], [3, 8], [10], [10], [10], [4, 10], [6, 6, 6], [10], [5, 10], [9, 9], [10]]
[[10], [2, 10], [6, 6], [10], [10], [6, 10], [7, 7], [10], [10], [6, 10], [9], [10], [10], [8, 8], [4, 10], [8, 9], [10], [3, 6, 8], [10], [5, 10]]
[[10], [6, 10], [7, 9], [2, 10], [10], [8, 8], [9], [10], [10], [6, 6], [10], [3, 10], [5, 10], [10], [10], [10], [7, 8], [4, 8], [6, 6], [10], [10]]
[[10], [9], [6, 10], [10], [3, 10], [9], [8, 8], [10], [8, 8], [10], [10], [7, 7], [6, 6], [5, 10], [10], [10], [4, 10], [10], [], [6, 6], [2, 10], [10]]
[[10], [9], [10], [10], [6, 6], [3, 10], [10], [10], [2, 10], [6, 6], [10], [5, 9], [8], [8], [10], [10], [10], [7, 7], [8], [4, 10], [6, 8], [10], [10]]
[[10], [2, 9], [5, 7], [10], [6, 8], [10], [6, 8], [3, 7], [10], [10], [10], [8], [10], [10], [6, 6], [9], [10], [4, 6], [10], [10], [10], [8], [10], [10]]
[[8], [10], [10], [2, 6], [10], [4, 7], [3, 8], [10], [10], [10], [6, 6], [6, 7], [10], [10], [10], [10], [8], [10], [10], [8], [10], [10], [5, 6], [9], [9]]
[[7], [10], [10], [9], [8], [10], [10], [6, 6], [3, 6], [10], [10], [7], [10], [8], [2, 8], [6, 6], [8], [10], [10], [4, 9], [10], [10], [10], [10], [5], [10]]
[[10], [3, 10], [10], [8], [10], [10], [7], [6, 6], [8], [10], [10], [10], [7], [10], [8], [2, 8], [6, 6], [4], [10], [10], [9], [10], [10], [9], [5, 6], [10], []]
[[8], [10], [10], [], [8], [10], [8], [10], [3], [10], [10], [10], [4, 7], [10], [6, 6], [9], [6, 6], [9], [7], [10], [10], [5], [10], [10], [2, 10], [10], [6], [8]]
[[10], [6], [10], [10], [10], [], [10], [10], [5], [6, 6], [3, 7], [6, 6], [10], [], [8], [7], [8], [10], [2, 4], [10], [9], [10], [10], [8], [8], [10], [10], [10], [9]]
[[8], [], [], [10], [10], [9], [10], [5], [10], [6], [10], [10], [3], [10], [6, 6], [4, 8], [10], [7], [6, 6], [9], [8], [7], [10], [2, 10], [8], [10], [], [10], [10], [10]]
[[6], [7], [9], [10], [8], [7], [10], [8], [10], [8], [4], [10], [6], [10], [9], [6], [8], [3, 6], [10], [5], [6], [10], [10], [10], [2], [10], [], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [247], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [4, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 10, 10], [5, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 9, 9, 9, 9]]
[[4, 6, 6, 6, 6, 7, 7, 10, 10], [7], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10]]
[[4, 8, 8, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6, 9, 9, 9], [5, 5, 7, 7, 7, 10, 10]]
[[4, 8, 8, 8, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10], [10, 10], [5, 5], [6, 6, 6, 6, 10, 10], [9, 9, 9, 9]]
[[10, 10, 10, 10], [10, 10, 10, 10], [4, 8, 8, 8, 8], [], [6, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 7, 7, 7]]
[[4, 8], [8, 8, 8, 8], [8, 8, 8, 8], [7, 10, 10, 10], [7, 10, 10, 10], [7, 10], [5, 5, 9, 9, 9], [9], [6, 6, 6, 6, 10]]
[[8, 8, 8, 8], [4, 5, 5, 6, 10], [8], [10, 10, 10], [10, 10, 10], [], [7, 7, 7, 9], [9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 10]]
[[4, 8, 8, 8], [7, 10], [6, 6, 6, 6], [5, 5, 9], [], [8, 8, 8], [10, 10, 10], [7, 7, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8]]
[[4, 8, 8, 8], [6, 6, 6, 10], [8, 8, 8], [6, 10, 10], [9, 9, 9], [7, 7, 7], [5, 5, 9], [8, 8, 8], [10, 10], [], [10], [10, 10]]
[[8, 8, 8], [8, 8, 8], [4, 7, 7, 7], [10, 10], [5, 5, 10], [9, 9], [9, 10], [9], [], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8]]
[[4, 10, 10], [7, 7, 10], [6, 6, 6, 6], [8, 8, 8], [], [5, 5], [9, 9], [8, 8, 8], [10, 10], [], [10, 10], [9, 9], [8, 8, 8], [7, 10]]
[[4, 8, 8], [8, 8], [8, 10], [8, 10], [8, 10], [10], [10], [7, 7, 7], [6, 6, 10], [6, 6, 10], [], [9, 9], [9, 9], [5, 5, 10], [8, 8]]
[[4, 6, 10], [8], [8, 8], [10, 10], [5, 5, 10], [8, 8], [8, 8], [], [6, 6, 6], [9, 9], [], [10, 10], [9, 9], [7, 7, 7], [10, 10], [8, 8]]
[[4], [8], [8, 8], [8, 8], [10, 10], [10, 10], [7, 10], [9, 10], [6, 6, 6], [7, 7], [], [8, 8], [9, 9], [6], [5, 5, 9], [10, 10], [8, 8]]
[[8, 8], [4, 8], [8, 8], [7, 10], [6, 10], [6, 10], [6, 10], [9, 9], [6, 10], [5, 5], [9, 9], [7, 7], [8, 8], [10], [10], [10], [8, 8], []]
[[7, 9], [8, 9], [5, 10], [4, 10], [10], [10], [9], [6, 6], [10], [6, 6], [8, 8], [10], [8, 8], [9], [5, 10], [7, 7], [10], [8, 8], [8, 8]]
[[8, 8], [4, 10], [7, 10], [6, 6], [7, 10], [7, 10], [9], [5, 6, 6], [10], [10], [9], [5, 10], [10], [], [8, 8], [], [9], [8, 9], [8, 8], [8, 8]]
[[7, 8], [6, 9], [8, 8], [4, 10], [6, 8], [10], [8], [10], [9], [], [10], [7, 7], [9], [10], [5, 10], [8, 8], [5, 9], [10], [6, 6], [10], [8, 8]]
[[7, 7], [4, 10], [8], [5, 10], [10], [8, 8], [10], [9], [], [8, 8], [9], [6, 6], [10], [6, 6], [10], [10], [9], [8, 8], [10], [5, 9], [8, 8], [7]]
[[4, 9], [5, 9], [5, 8], [6, 8], [6, 8], [6, 8], [10], [10], [9], [10], [8], [7], [10], [10], [8], [10], [7, 7], [8], [9], [10], [8], [6, 8], [10]]
[[5, 8], [4, 8], [6, 8], [6, 7], [10], [10], [10], [9], [10], [10], [5, 8], [8], [6, 8], [], [10], [9], [10], [9], [9], [10], [8], [6, 8], [7, 7], [8]]
[[9], [4, 8], [5, 8], [10], [10], [5, 8], [6, 7], [8], [10], [8], [7], [10], [8], [8], [6, 6], [10], [10], [9], [10], [8], [8], [9], [9], [10], [6, 7]]
[[4], [9], [9], [10], [8], [10], [10], [10], [5, 7], [10], [8], [6, 6], [9], [6, 7], [8], [10], [10], [8], [8], [8], [6, 7], [10], [9], [8], [5, 8], [8]]
[[10], [10], [4, 8], [5, 8], [5, 8], [8], [6, 7], [6, 7], [8], [6], [8], [], [], [9], [9], [10], [8], [10], [9], [10], [8], [10], [8], [9], [6, 7], [10], [10]]
[[8], [8], [8], [8], [8], [10], [6, 6], [], [10], [10], [10], [10], [8], [10], [10], [9], [7], [9], [7], [7], [6, 6], [8], [8], [5, 5], [10], [9], [9], [4, 8]]
[[4, 8], [8], [8], [8], [10], [10], [9], [9], [5, 5], [10], [7], [], [8], [9], [9], [10], [10], [10], [7], [6, 6], [6, 6], [8], [8], [10], [7], [10], [8], [8], []]
[[4, 7], [8], [8], [8], [8], [8], [8], [9], [10], [10], [10], [10], [10], [10], [7], [], [9], [9], [6, 6], [], [9], [], [7], [10], [10], [8], [6, 6], [5, 5], [8], [8]]
[[8], [8], [8], [8], [4, 6], [7], [8], [6], [10], [5, 5], [8], [10], [7], [10], [], [8], [], [7], [10], [10], [10], [6], [9], [9], [10], [9], [10], [6], [8], [9], [8]]
-EndAllocation

Instance: [[1], [246], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 7, 7, 7, 7], [4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[9, 9], [6, 6, 6, 7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 10], [4, 4, 5, 9, 9, 9, 9, 9, 10, 10]]
[[4, 4, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9], [9, 9, 9], [5, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 6, 9, 9, 9], [9, 9, 9], [8, 8, 9], [7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8], [4, 4, 10, 10, 10, 10]]
[[4, 4, 8, 8, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 10, 10, 10, 10], [], [6, 6, 6], [7, 7, 7, 7, 9, 9]]
[[4, 4, 5, 10, 10], [], [9, 9, 9, 9], [8, 8, 8, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 9, 9], [7, 7, 7, 7]]
[[4, 8, 8, 8, 8], [4, 8, 8, 8, 8], [5, 7, 7, 9, 9], [7, 7], [10, 10, 10], [], [10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 9]]
[[4, 9, 9, 9], [4, 5, 7, 7, 9], [7, 7], [10, 10, 10], [9, 9, 9], [], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6]]
[[4, 8, 8, 8], [4, 5], [6, 6, 6], [9, 9, 9], [8, 8, 8], [8, 8], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [9]]
[[4, 4, 9], [9, 9, 9], [8, 8, 8], [5, 10, 10], [7, 7, 7, 7], [8, 8, 8], [6, 10, 10], [9, 9, 10], [], [9, 10], [6, 6], [8, 8]]
[[8, 8, 8], [8, 8, 8], [4, 10, 10], [4, 5], [10, 10], [10, 10], [9, 9], [9, 9], [8], [6, 6, 6], [7, 7, 7], [9, 9], [7, 8, 9]]
[[4, 9, 9], [6, 6, 6], [9, 9], [7], [4, 10, 10], [9, 9], [7, 9], [5, 7, 7], [8, 8, 8], [10, 10], [10, 10], [], [8, 8, 8], [8, 8]]
[[5, 8, 8], [4, 8, 8], [4, 9, 9], [8, 8], [8, 8], [10, 10], [], [7, 7, 7], [10, 10], [], [6, 6, 6], [9, 9], [9, 9], [10, 10], [7, 9]]
[[4, 4, 5, 7], [8, 8], [8, 8], [], [8, 8], [6, 6, 6], [7, 7, 7], [9, 9], [9, 9], [], [9, 9], [10, 10], [10, 10], [9], [10, 10], [8, 8]]
[[4, 4], [7, 7], [8, 8], [7, 7], [8, 8], [5, 9], [10, 10], [10, 10], [6, 6, 6], [9, 9], [], [9, 9], [8, 8], [], [9, 9], [10, 10], [8, 8]]
[[4, 7], [8, 8], [8, 8], [8, 8], [4, 7, 7], [5, 6, 6], [9, 9], [9, 9], [7, 10], [10], [9], [8, 8], [10], [10], [], [6, 10], [9, 9], [10]]
[[4, 10], [8, 8], [8, 8], [5, 10], [4, 7], [9], [9], [6, 10], [9], [6, 7], [7, 9], [9], [8, 8], [9], [6, 10], [7, 10], [10], [9], [8, 8]]
[[8, 8], [4, 4, 5], [7, 10], [6, 6], [7, 7], [7, 9], [10], [9], [10], [10], [10], [6, 9], [9], [9], [9], [10], [8, 8], [9], [8, 8], [8, 8]]
[[4, 10], [4, 9], [8, 8], [5, 9], [6, 9], [10], [7, 8], [6, 6], [10], [10], [10], [10], [8, 8], [7, 9], [7, 8], [], [], [7, 9], [9], [9], [8, 8]]
[[4, 4, 5], [8, 8], [8, 8], [9], [10], [7, 7], [9], [9], [10], [7, 9], [6, 6], [10], [10], [6], [9], [10], [10], [8, 8], [9], [9], [8, 8], [7]]
[[4, 10], [4, 9], [7, 7], [5, 9], [9], [6, 8], [6, 8], [9], [8], [7, 7], [10], [8], [9], [9], [8], [10], [10], [8], [10], [6, 8], [10], [8], [9]]
[[4, 9], [4, 9], [7, 7], [9], [6, 8], [10], [8], [7, 7], [10], [10], [5, 9], [9], [6, 8], [8], [10], [10], [8], [8], [8], [9], [9], [8], [10], [6]]
[[6, 7], [6, 7], [9], [6, 7], [4, 9], [10], [10], [4, 9], [9], [5, 8], [10], [8], [8], [9], [9], [8], [10], [10], [8], [8], [10], [9], [8], [8], [7]]
[[5, 7], [10], [4, 9], [10], [10], [4, 8], [9], [10], [9], [9], [8], [10], [10], [6, 6], [6, 7], [8], [8], [9], [8], [8], [7], [7], [8], [8], [9], [9]]
[[4, 9], [10], [10], [10], [8], [4, 8], [9], [10], [9], [8], [8], [10], [9], [8], [6, 7], [10], [9], [8], [6, 7], [9], [8], [6, 7], [], [8], [9], [7], [5]]
[[9], [8], [9], [7], [8], [8], [8], [10], [6], [10], [7], [6, 6], [7], [10], [10], [9], [10], [9], [5, 7], [8], [8], [8], [8], [10], [9], [9], [9], [4, 4]]
[[4, 7], [6, 6], [4, 8], [9], [9], [8], [8], [8], [8], [9], [7], [9], [10], [8], [10], [10], [10], [8], [10], [10], [8], [9], [6], [9], [9], [], [], [7], [5, 7]]
[[8], [4, 8], [7], [9], [8], [8], [], [9], [], [10], [10], [7], [9], [10], [10], [8], [9], [9], [10], [7], [9], [8], [9], [8], [7], [6], [6, 6], [8], [10], [4, 5]]
[[9], [8], [8], [8], [8], [4, 5], [4], [6], [7], [6], [9], [7], [10], [6], [9], [8], [9], [7], [10], [10], [10], [9], [], [9], [8], [7], [10], [8], [9], [10], [8]]
-EndAllocation

Instance: [[1], [245], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[2, 3, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 9], [4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10]]
[[], [3, 9, 9, 10, 10, 10, 10, 10, 10], [2, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 10], [4, 8, 10, 10, 10, 10, 10, 10, 10]]
[[], [2, 10, 10, 10, 10, 10, 10], [4, 10, 10, 10, 10, 10, 10], [3, 5, 5, 5, 5, 5, 5, 5, 7, 10, 10], [8, 8, 9, 9, 10, 10]]
[[], [9, 9, 10, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 5, 5, 7], [2, 3, 8, 8, 10, 10, 10]]
[[], [8, 10, 10, 10], [5, 9, 9, 10, 10], [4, 10, 10, 10, 10], [2, 8, 10, 10, 10], [3, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 7]]
[[10], [10, 10, 10, 10], [10, 10, 10, 10], [2, 8, 8, 10, 10], [10], [3, 10, 10, 10], [7, 9, 9, 10], [4, 5, 5, 5, 5, 5, 5, 5]]
[[], [3, 4, 10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [8, 10, 10], [9, 9, 10], [7, 8, 10], [2, 10, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [9, 9, 10], [10, 10], [10, 10, 10], [10, 10, 10], [4, 10, 10], [5, 5, 8, 8], [2, 3, 5, 5, 5, 5, 5], [7, 10, 10]]
[[], [7, 10, 10], [5, 10], [10, 10, 10], [3, 8], [10, 10, 10], [2, 10, 10], [4, 8, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5], [9, 9, 10]]
[[], [4, 10, 10], [8, 10, 10], [8, 10, 10], [2, 10, 10], [7, 9, 9], [], [10, 10], [5, 10, 10], [3, 5, 5, 5, 5, 5], [5, 10, 10], [10, 10]]
[[], [10, 10], [10, 10], [3, 5, 5, 10], [4, 8, 10], [10, 10], [2, 10, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [10], [9, 9], [7, 8, 10]]
[[10], [3, 10, 10], [8, 8], [2, 10, 10], [7, 10], [10], [10, 10], [10], [4, 9, 9], [10, 10], [5, 5, 5], [10, 10], [10, 10], [5, 5, 5, 5]]
[[], [10, 10], [10, 10], [8, 9], [5, 5, 5, 5], [5, 10], [10, 10], [10, 10], [2, 10, 10], [4], [9], [10, 10], [10, 10], [7, 10], [3, 5, 5, 8]]
[[], [], [5, 5, 5, 5], [2, 5, 5, 5], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10], [10, 10], [3], [4, 10], [7, 10], [8, 8], [10, 10]]
[[], [5, 5, 5, 5], [10, 10], [], [10, 10], [10, 10], [10, 10], [8, 10], [], [10, 10], [2, 8, 10], [5, 10], [10, 10], [5, 5, 10], [], [3, 4, 7], [9, 9]]
[[10], [5, 10], [5, 10], [10], [5, 10], [2, 5, 10], [10], [8, 9], [4, 10], [5, 10], [7, 10], [3, 10], [5, 9], [10], [8, 10], [10], [5, 10], [10]]
[[10], [7, 10], [4, 10], [10], [10], [5, 10], [10], [10], [3, 10], [2, 10], [10], [5, 10], [5, 10], [8, 9], [10], [10], [5, 10], [8, 9], [5, 5, 5]]
[[10], [5, 10], [7, 10], [8], [9], [4, 10], [5, 5, 5], [5, 10], [10], [10], [10], [5, 10], [2, 5, 10], [10], [10], [10], [8, 9], [10], [10], [3, 10]]
[[10], [10], [9], [2, 10], [4, 10], [5, 5, 5], [3, 10], [10], [10], [5, 5, 5], [10], [10], [10], [5, 10], [7, 9], [10], [10], [10], [10], [10], [8, 8]]
[[10], [2, 10], [10], [10], [5, 5], [5, 5, 5], [8, 8], [7, 9], [10], [3, 10], [10], [10], [10], [10], [10], [4, 10], [10], [10], [10], [5, 5], [10], [9]]
[[9], [10], [10], [3, 10], [5, 7], [10], [10], [10], [10], [2, 5, 5], [10], [10], [10], [10], [10], [10], [8], [5, 9], [5, 5], [5, 8], [10], [10], [4, 10]]
[[10], [10], [10], [10], [8], [10], [5, 5], [5, 5], [10], [10], [10], [5, 9], [2, 9], [10], [10], [8], [10], [3, 10], [10], [7], [4, 10], [10], [5, 5], [10]]
[[10], [10], [10], [], [10], [10], [10], [2, 10], [9], [9], [10], [10], [10], [5, 5], [5, 8], [10], [10], [4, 5], [10], [10], [8], [3, 5, 5], [10], [10], [5, 7]]
[[10], [5, 8], [10], [10], [5, 5], [9], [], [10], [7], [10], [10], [9], [10], [3, 10], [10], [10], [10], [2, 10], [5, 5], [10], [5], [4], [10], [5, 8], [10], [10]]
[[10], [10], [9], [5, 5], [10], [10], [], [10], [10], [4, 8], [10], [5, 5], [7], [10], [8], [5, 5], [10], [2, 10], [10], [10], [5], [], [9], [10], [10], [3, 10], [10]]
[[10], [10], [10], [], [10], [3, 4], [10], [10], [5, 5], [10], [5, 5], [8], [5], [5, 5], [9], [9], [10], [10], [2, 10], [10], [8], [], [10], [10], [10], [10], [7], [10]]
[[10], [4], [5], [10], [10], [10], [10], [9], [10], [7], [8], [10], [10], [9], [10], [], [10], [3], [2, 5, 5], [8], [10], [5, 5], [], [10], [10], [10], [10], [10], [5, 5]]
[[10], [5, 5], [], [10], [10], [], [7], [9], [5, 5], [9], [10], [5], [3], [10], [10], [10], [8], [2, 10], [10], [8], [10], [10], [10], [5, 5], [4], [10], [10], [10], [], [10]]
[[], [10], [10], [5, 5], [8], [9], [10], [10], [], [2], [10], [10], [5, 5], [], [10], [], [10], [9], [3, 7], [4, 5], [8], [10], [5, 5], [10], [10], [10], [], [10], [10], [10], [10]]
-EndAllocation

Instance: [[1], [244], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 7, 7, 7, 7, 10]]
[[6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 10, 10], [5, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 9, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8, 8], [8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 8, 8], [5, 7, 7, 7, 7, 10]]
[[9, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 8, 8], [8, 8, 8, 8], [7, 7, 10, 10], [10, 10, 10], [], [7, 7, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[5, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [], [9, 9], [9, 9, 9], [6, 10, 10], [6, 6, 6, 6, 6]]
[[8], [9, 9], [6, 6, 6, 6, 6], [5, 8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [10, 10], [], [7, 7, 7, 7], [6, 8, 8, 8]]
[[5, 6, 6, 10], [9, 10], [8, 9], [10, 10], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [], [10], [8, 8, 8], [8, 8, 8]]
[[5, 6, 7], [8, 8], [7, 7, 7], [8, 8], [10, 10], [8, 8, 9], [9, 9], [8, 8], [10], [6, 6, 6, 6], [6, 9, 9], [10, 10], [8, 8]]
[[5, 7, 8], [9, 10], [9, 9], [], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [10, 10], [], [9, 9], [6, 6], [8, 8, 8], [8, 8, 8]]
[[5, 7, 8], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [7, 7, 7], [], [6, 6, 6], [9], [9, 9], [8, 10], [8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [7, 10], [9, 9], [6, 6, 6], [8, 8], [9, 9], [6, 6, 6], [8, 8], [10], [], [10], [7, 7, 7], [10], [9, 10]]
[[5, 7, 7], [8, 8], [8, 8], [7, 7], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [], [9, 9], [8, 8], [], [9, 10], [6, 6, 6], [8, 8]]
[[8, 8], [5, 10], [8, 8], [10], [6, 6, 6], [7], [9], [8, 8], [6, 6, 6], [8, 8], [], [7, 7], [10], [7, 10], [10], [9, 9], [9, 9], [8, 8]]
[[6, 10], [8, 8], [8, 8], [5, 6, 6], [9], [8, 8], [10], [6, 10], [9], [6, 6], [7, 9], [10], [8, 8], [9], [9], [7, 7], [10], [8, 8], [7]]
[[8, 8], [8, 8], [5, 9], [6, 6], [7, 10], [6, 6], [10], [6, 6], [10], [9], [7, 9], [9], [8, 8], [], [8, 8], [10], [9], [10], [8, 8], [7, 7]]
[[7, 8], [8, 8], [8, 8], [6, 6], [6, 8], [10], [7, 9], [8, 8], [9], [9], [9], [7, 7], [6, 6], [], [6, 9], [10], [], [10], [10], [5, 10], [8, 8]]
[[8, 8], [8, 8], [10], [10], [8, 8], [7, 7], [9], [9], [], [7, 7], [6, 6], [6, 6], [10], [6, 6], [9], [10], [9], [8, 8], [9], [10], [8, 8], [5]]
[[9], [6, 7], [6, 8], [9], [6, 8], [6, 8], [8], [9], [8], [10], [9], [8], [8], [10], [6, 7], [6, 8], [10], [7, 7], [10], [8], [10], [8], [5, 9]]
[[6, 8], [8], [7, 7], [8], [9], [9], [9], [8], [10], [9], [6, 8], [10], [6, 8], [10], [6, 6], [8], [8], [10], [8], [10], [9], [8], [7, 7], [5, 6]]
[[6, 6], [5, 8], [8], [6, 7], [6, 7], [10], [8], [8], [8], [8], [6, 7], [9], [8], [8], [9], [8], [8], [9], [10], [9], [10], [6, 7], [9], [10], [10]]
[[10], [5, 8], [8], [8], [8], [8], [7], [6, 6], [8], [6, 6], [10], [10], [7], [9], [8], [10], [9], [9], [9], [8], [8], [6, 7], [9], [6, 7], [10], [8]]
[[9], [9], [9], [8], [9], [8], [8], [7], [8], [6, 6], [6, 6], [10], [10], [6, 6], [8], [7], [8], [10], [5, 8], [8], [10], [8], [8], [9], [7], [10], [7]]
[[5, 7], [8], [8], [8], [6, 6], [10], [7], [8], [8], [6, 6], [8], [6, 6], [10], [10], [10], [9], [], [9], [7], [7], [8], [8], [8], [10], [9], [9], [9], [8]]
[[8], [8], [7], [8], [8], [8], [9], [7], [8], [10], [], [6, 6], [8], [10], [9], [6, 6], [10], [10], [9], [6, 6], [8], [10], [5, 7], [9], [9], [7], [], [8], [8]]
[[5, 7], [8], [10], [8], [7], [8], [8], [9], [8], [10], [10], [], [], [10], [10], [8], [9], [9], [6, 6], [7], [9], [8], [6, 6], [], [8], [8], [6, 6], [9], [8], [7]]
[[8], [8], [6], [10], [10], [8], [8], [7], [6], [5], [9], [7], [9], [6], [9], [8], [8], [7], [6], [8], [10], [9], [8], [6], [8], [7], [10], [8], [9], [10], [6]]
-EndAllocation

Instance: [[1], [243], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [9, 9, 9, 9, 9, 10], [4, 7, 7, 7, 7]]
[[4, 7, 7, 7, 7, 10], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8], [6, 6, 6, 9, 9, 9, 9, 9], [6, 6, 6, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6]]
[[4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 10]]
[[4, 6, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9], [7, 7, 7, 7]]
[[4, 7, 8, 8, 9], [8, 8], [8, 8], [7, 7, 7, 10], [8, 8, 10, 10], [8, 8], [10, 10], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[6, 8, 8, 8], [4, 7, 7, 7, 7], [8, 8, 8, 8], [10, 10], [8, 8, 8], [], [9, 9], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6]]
[[6, 6, 6, 10], [4, 8], [9, 9], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [], [6, 6, 6, 10], [8, 8, 8]]
[[4, 6, 6, 10], [9, 9, 9], [8, 10], [10], [7, 7, 7, 7], [9, 9, 10], [6, 6, 6, 6], [8, 8, 8], [], [10], [8, 8, 8], [8, 8, 8]]
[[4, 8, 10], [8, 8, 9], [7, 7, 7], [8, 8], [8, 10], [8, 10], [8], [8, 8], [9, 9], [6, 6, 6, 6], [9, 9], [7, 10], [6, 6, 10]]
[[8, 8, 8], [4, 9, 9], [9, 9], [7, 10], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [10, 10], [], [9], [], [8, 8, 8], [6, 6, 8]]
[[4, 7, 10], [8], [8, 10], [8, 8], [6, 8, 8], [10, 10], [9, 9], [8, 8], [7, 7, 7], [], [6, 6, 6], [9, 9], [9], [6, 10], [6, 8, 8]]
[[6, 6, 6], [4, 8, 8], [8, 8], [7, 10], [9], [6, 6, 6], [8, 8], [9, 9], [9, 9], [8, 8], [], [], [10, 10], [10, 10], [7, 7, 7], [8, 8]]
[[8, 8], [4, 8, 8], [8, 8], [8, 8], [10, 10], [10, 10], [9], [7, 7], [7, 7], [6, 6, 6], [], [9, 9], [9, 9], [], [10], [6, 6, 6], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 10], [9, 9], [7, 10], [10], [8, 8], [6, 6, 6], [], [], [7, 7], [10], [7, 10], [6, 6, 6], [9, 9], [9], [8, 8]]
[[6, 8], [6, 8], [6, 8], [7, 10], [8, 9], [8, 9], [8, 9], [6, 9], [4, 10], [6, 6], [7, 9], [10], [8], [10], [10], [7, 7], [8], [8], [8]]
[[8, 8], [8, 8], [4, 6, 7], [6, 6], [7, 10], [7, 9], [6, 9], [6, 10], [10], [], [7, 9], [9], [9], [], [8, 8], [10], [], [6, 10], [8, 8], [8, 8]]
[[6, 7], [8, 8], [8, 8], [6, 10], [6, 8], [6, 10], [7, 9], [8, 8], [4, 9], [9], [10], [7, 7], [6, 6], [9], [], [], [10], [10], [9], [8, 8], [8]]
[[4, 8], [7, 9], [8, 8], [8, 8], [6, 10], [7, 7], [10], [10], [10], [7, 9], [6, 6], [], [], [6, 6], [9], [9], [10], [8, 8], [], [9], [8, 8], [6, 8]]
[[4, 9], [8], [6, 7], [7, 7], [10], [6, 8], [9], [6, 8], [8], [8], [10], [6, 8], [10], [6, 8], [8], [8], [10], [9], [10], [9], [7], [9], [6, 8]]
[[6, 8], [4, 8], [8], [9], [8], [9], [6, 8], [10], [8], [9], [6, 6], [10], [8], [10], [7, 7], [8], [9], [10], [7], [8], [10], [6, 8], [9], [6, 7]]
[[10], [4, 8], [8], [6, 7], [6, 7], [8], [8], [8], [6, 7], [8], [9], [8], [9], [9], [10], [9], [6, 7], [10], [8], [10], [9], [10], [8], [8], [6, 6]]
[[10], [4, 8], [6, 6], [7], [8], [8], [8], [6, 6], [9], [7], [9], [10], [8], [10], [8], [10], [9], [9], [10], [8], [8], [6, 7], [9], [8], [8], [6, 7]]
[[8], [4, 8], [8], [7], [9], [9], [7], [6, 6], [10], [7], [7], [10], [10], [6, 6], [10], [8], [8], [10], [8], [8], [8], [6, 6], [8], [9], [8], [9], [9]]
[[4, 7], [6, 6], [6, 6], [7], [8], [7], [8], [10], [10], [6, 6], [10], [8], [10], [8], [8], [8], [8], [9], [8], [10], [7], [8], [], [9], [9], [9], [9], [8]]
[[4, 8], [6, 6], [8], [7], [7], [8], [8], [8], [8], [10], [8], [6, 6], [8], [], [9], [9], [], [10], [9], [6, 6], [9], [10], [10], [9], [10], [7], [7], [8], [8]]
[[10], [6, 6], [7], [7], [6], [8], [10], [6], [8], [8], [8], [8], [9], [10], [8], [10], [9], [8], [7], [8], [9], [9], [9], [10], [7], [], [8], [8], [6, 6], [4]]
[[7], [10], [10], [8], [6], [8], [8], [8], [6], [8], [8], [7], [9], [6], [9], [8], [9], [10], [10], [8], [6], [9], [], [7], [7], [10], [6], [8], [9], [4, 6], [8]]
-EndAllocation

Instance: [[1], [242], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[6, 9], [6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6]]
[[8, 8, 9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [10]]
[[8, 8, 8, 8, 8], [8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 10, 10]]
[[8, 8, 8, 8, 8], [], [7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 10, 10]]
[[8, 8, 8, 9], [8, 8, 8, 8], [8, 9, 9, 9], [6, 6, 6, 6, 6, 6], [9, 10, 10], [], [7, 7, 7, 7], [10, 10, 10], [9, 10]]
[[10, 10, 10], [6, 9, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], []]
[[8, 8, 8], [6, 6, 6, 6], [10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [10, 10], [10, 10], [], [9, 9, 9], [6, 6, 8, 8]]
[[8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [10], [], [9, 9, 9], [10, 10], [6, 6, 10], [10, 10], [8, 8]]
[[8, 8, 8], [8, 8], [6, 6, 6, 6], [6], [10, 10], [10, 10], [9, 9], [7, 9, 9], [], [6, 9, 9], [7, 7, 7], [10, 10], [8, 8, 8]]
[[6, 8, 8], [7, 7, 7], [10, 10], [6, 9, 9], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9], [7], [], [], [9, 9], [8, 8, 8], [8, 8, 8]]
[[6, 8, 8], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 7], [7, 7, 7], [], [6, 6, 6], [9, 9], [9, 9], [10, 10], []]
[[7], [8, 8], [8, 8], [10, 10], [9, 9], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6], [8, 8], [], [10, 10], [6, 6, 6], [], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 6, 6], [10, 10], [], [8, 8], [10, 10], [7, 7], [9, 9], [], [9, 9], [9, 9], [7, 7], [], [10, 10], [6, 6, 6]]
[[8, 8], [8, 8], [8, 8], [10], [7, 7], [7, 10], [], [9, 9], [10], [6, 6, 6], [7, 10], [6, 6, 6], [9, 9], [], [10], [10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 10], [6, 6], [9], [6, 6], [7, 7], [9], [7, 10], [9], [10], [8, 8], [6, 9], [9], [9], [10], [10], [6, 10]]
[[8, 8], [8, 8], [6, 6], [7, 7], [6, 9], [8, 8], [10], [8, 8], [10], [10], [9], [6, 6], [10], [7, 7], [9], [10], [6, 9], [10], [9], [9]]
[[6, 6], [8, 8], [10], [9], [6, 6], [8, 8], [10], [9], [9], [9], [10], [9], [7, 7], [10], [7, 7], [8, 8], [10], [10], [6, 6], [9], [8, 8]]
[[9], [6, 8], [7, 7], [9], [10], [6, 8], [6, 8], [10], [6, 8], [10], [10], [9], [6, 8], [7, 7], [9], [9], [9], [8], [8], [10], [10], [6, 8]]
[[6, 8], [6, 8], [6, 8], [9], [6, 6], [9], [9], [9], [10], [7, 7], [7, 7], [8], [9], [10], [8], [10], [10], [10], [9], [10], [8], [6, 8], [8]]
[[9], [8], [9], [10], [6, 8], [10], [6, 8], [9], [8], [10], [6, 6], [9], [6, 6], [10], [10], [8], [8], [10], [8], [7, 7], [8], [9], [7, 7], [9]]
[[6, 6], [9], [6, 7], [8], [9], [10], [8], [9], [10], [10], [8], [10], [9], [8], [8], [8], [6, 7], [9], [6, 7], [8], [6, 7], [10], [10], [9], [8]]
[[8], [6, 6], [8], [8], [6, 7], [8], [8], [8], [9], [9], [10], [7], [6, 6], [9], [7], [10], [10], [9], [9], [10], [9], [10], [8], [8], [10], [6, 7]]
[[8], [10], [10], [9], [6, 6], [7], [6, 6], [7], [10], [9], [6, 6], [9], [8], [7], [8], [8], [8], [8], [10], [10], [9], [8], [9], [9], [7], [10], [8]]
[[8], [9], [6, 6], [9], [10], [10], [10], [7], [8], [7], [10], [8], [8], [7], [10], [6, 6], [8], [8], [9], [9], [8], [7], [9], [6, 6], [], [10], [9], [8]]
[[7], [6, 6], [8], [8], [8], [8], [9], [9], [8], [10], [], [6, 6], [8], [9], [9], [], [10], [10], [9], [6, 6], [8], [10], [10], [7], [7], [9], [7], [10], [8]]
[[7], [6, 6], [8], [8], [8], [6, 6], [7], [9], [], [10], [10], [10], [], [10], [10], [8], [9], [9], [6, 6], [7], [9], [8], [], [10], [8], [8], [9], [9], [8], [7]]
[[8], [6], [8], [8], [8], [7], [6], [6], [9], [10], [8], [10], [10], [9], [], [7], [7], [6], [9], [9], [9], [7], [8], [10], [8], [10], [6], [6], [9], [10], [8]]
-EndAllocation

Instance: [[1], [241], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,31. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,31:
-StartAllocation
[[6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [4, 4, 4, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 7, 7, 7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10, 10, 10], [4, 4, 4, 6, 7, 7, 7, 7, 9, 9, 9]]
[[9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [4, 4, 4, 7, 7, 7, 7, 8], [6, 6, 6, 6]]
[[8, 8, 8, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9], [4, 4, 4, 10]]
[[4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 7, 7, 7, 7], [6], [10, 10]]
[[8, 8, 8, 8, 8], [4, 4, 4, 10, 10], [7, 7, 7, 7], [9], [10, 10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9, 9]]
[[4, 4, 4, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 9], [10, 10, 10], [], [8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[4, 4, 4, 8], [9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6], [], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [10, 10, 10]]
[[4, 4, 4, 8, 8], [6, 6, 6, 6], [8, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [10, 10], [10, 10], [], [9, 9], [8, 8, 8]]
[[4, 4, 4, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [8, 9, 9], [], [], [10, 10], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [4, 4, 4, 9], [6, 6, 6, 6], [], [10, 10], [10, 10], [9, 9], [7, 9, 9], [], [8, 8, 8], [7, 7, 7], [10, 10], [8, 8, 8]]
[[8, 8, 8], [4, 7, 7], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6], [10, 10], [9], [7, 7], [], [4], [4, 9, 9], [8, 8, 8], [8, 8, 8]]
[[4, 8, 8], [4, 8, 8], [10, 10], [4, 8], [8, 8], [10, 10], [7, 9], [6], [7, 7, 7], [], [6, 6, 6], [9, 9], [9, 9], [10, 10], [8, 8]]
[[4, 8, 8], [4, 8, 8], [4, 8, 8], [10, 10], [7, 9], [], [7, 7, 7], [9, 9], [9, 9], [8, 8], [6], [10, 10], [6, 6, 6], [], [10, 10], [8]]
[[4, 4, 4, 8], [8, 8], [8, 8], [6, 6, 6], [10, 10], [], [8, 8], [10, 10], [6, 7, 7], [9], [], [9, 9], [9, 9], [7, 7], [], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 4, 4], [7, 7], [7, 10], [], [9, 9], [10], [6, 6, 6], [7, 10], [8], [9, 9], [10], [10], [6, 10], [9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 10], [4, 6, 6], [7, 9], [6, 6], [4, 10], [10], [7, 9], [10], [7, 7], [8, 8], [10], [9], [9], [], [10], [8, 9]]
[[8, 8], [8, 8], [4, 4, 4], [7, 7], [6, 9], [8], [10], [8, 8], [10], [10], [10], [6, 6], [9], [7, 7], [9], [10], [9], [6, 10], [9], [8, 8]]
[[8, 8], [8, 8], [4, 10], [4, 10], [4, 6, 6], [10], [], [9], [9], [9], [9], [9], [7, 7], [10], [7, 7], [8], [10], [10], [6, 6], [8, 8], [8, 8]]
[[4, 8], [4, 9], [4, 9], [8], [10], [8], [10], [7, 7], [6, 8], [10], [6, 8], [9], [6, 8], [8], [8], [9], [9], [10], [10], [6, 8], [10], [7, 7]]
[[4, 8], [4, 9], [4, 8], [10], [9], [7, 7], [6, 8], [10], [6, 8], [9], [8], [8], [7], [6, 7], [9], [10], [9], [10], [10], [8], [6, 8], [10], [8]]
[[4, 4, 6], [6, 8], [8], [10], [7, 7], [10], [9], [8], [8], [9], [6, 6], [10], [8], [10], [9], [10], [7, 7], [8], [9], [8], [10], [8], [8], [4, 9]]
[[10], [4, 9], [4, 4], [9], [8], [6, 7], [6, 7], [8], [10], [9], [8], [6, 7], [10], [9], [8], [8], [10], [9], [10], [8], [6, 7], [10], [8], [8], [8]]
[[4, 8], [], [4, 8], [10], [6, 7], [6, 7], [8], [8], [8], [9], [6, 6], [8], [9], [9], [8], [10], [10], [8], [9], [10], [9], [8], [7], [10], [10], [4, 7]]
[[7], [7], [8], [8], [8], [8], [10], [8], [9], [4, 4, 4], [6, 6], [10], [10], [6, 6], [8], [9], [7], [10], [8], [7], [8], [9], [8], [9], [9], [10], [10]]
[[4, 7], [8], [8], [8], [8], [4, 8], [8], [10], [9], [7], [10], [6, 6], [9], [], [10], [9], [10], [9], [7], [6, 6], [8], [8], [8], [10], [10], [9], [7], [4]]
[[8], [8], [7], [8], [8], [10], [9], [9], [8], [10], [8], [6, 6], [8], [9], [9], [], [], [10], [8], [6, 6], [8], [10], [10], [7], [7], [9], [10], [7], [4, 4, 4]]
[[4, 7], [4, 8], [8], [8], [7], [], [7], [9], [], [10], [10], [], [], [10], [10], [8], [9], [9], [6, 6], [8], [9], [8], [8], [8], [10], [9], [6, 6], [7], [10], [4, 8]]
[[8], [4, 6], [8], [8], [8], [8], [7], [], [9], [], [8], [6], [10], [10], [10], [6], [7], [9], [9], [10], [9], [6], [8], [7], [8], [7], [10], [8], [9], [10], [4, 4]]
-EndAllocation

Instance: [[1], [256], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [170, 114, 85, 69, 57, 49, 42, 38, 34, 32, 29, 26, 25, 24, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [128, 86, 64, 52, 43, 37, 32, 29, 26, 24, 22, 20, 19, 18, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [2, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10], [5, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[2, 5, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 10], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7]]
[[8, 8, 8, 8, 8, 8, 10, 10], [2, 6, 7, 7, 7, 7, 7], [5, 8], [6, 6, 9, 9, 9, 9, 9, 9], [6, 10, 10, 10, 10, 10, 10]]
[[2, 5, 6], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 7, 7, 7, 7, 7]]
[[2, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 10, 10, 10, 10], [6, 6, 6, 6, 8], [9, 9, 9, 9, 9]]
[[2, 10, 10, 10, 10], [10, 10], [6, 6, 6, 6], [9, 9, 10, 10], [9, 9, 9, 9], [5, 7, 7, 7, 7, 7], [8, 8], [8, 8, 8, 8, 8]]
[[2, 10, 10], [8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [7, 7, 7, 7, 7], [5, 9, 9]]
[[2, 8, 8, 8], [10, 10], [7, 7, 7, 7], [9, 9, 10], [9, 10, 10], [5, 10, 10], [7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 10]]
[[2, 8, 10, 10], [6], [8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 9], [7], [7, 7, 7, 7], [5, 9, 9]]
[[2, 9, 9, 9], [7, 7, 7, 7], [6, 6, 10], [5, 10, 10], [8, 10, 10], [8, 8, 10], [10, 10], [9, 9, 9], [], [], [6, 6, 8, 8], [7, 8, 8]]
[[2, 8, 8, 8], [8, 8, 8], [6, 9, 9], [6, 10, 10], [6, 10, 10], [9, 9], [], [5, 7, 7], [10, 10], [6, 10, 10], [9, 9], [7, 7, 7], [8]]
[[8, 8, 8], [6, 6, 6, 6], [2, 7, 8], [5], [10, 10], [7, 7, 7], [], [8, 8, 8], [9, 9], [10, 10], [10, 10], [9, 9], [7, 9, 9], [10, 10]]
[[2, 6, 6, 8], [8, 8, 8], [10, 10], [], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [5], [], [9, 9], [10, 10], [9, 9], [7, 7, 10], [6, 6, 10]]
[[2, 5], [8], [8, 8], [9, 9], [8, 8], [10, 10], [8, 8], [10, 10], [7, 7, 7], [10, 10], [], [9, 9], [6, 6, 6], [9, 9], [10, 10], [6, 7, 7]]
[[2, 6, 10], [8, 8], [7, 9], [8, 8], [7, 10], [10, 10], [], [10, 10], [7, 7, 7], [], [9, 9], [8, 8], [9, 9], [10, 10], [], [5, 6, 9], [6, 6, 8]]
[[2, 8, 8], [8, 8], [8, 8], [6, 10], [7, 9], [7, 7], [9, 10], [9, 9], [], [6, 6, 6], [7, 7], [], [10, 10], [10, 10], [5], [10, 10], [9, 9], [8]]
[[7, 10], [2, 10], [8], [6, 6, 6], [9, 9], [], [], [5, 10], [9, 9], [10], [7, 10], [10], [9, 9], [8, 8], [7, 7], [7, 10], [8, 8], [8, 8], [6, 10]]
[[8, 8], [8, 8], [2, 7, 7], [7, 10], [6, 9], [7, 9], [6, 10], [6, 6], [7, 9], [10], [10], [10], [10], [9], [8, 8], [], [9], [5, 10], [10], [8, 9]]
[[8, 9], [2, 7, 7], [8, 9], [7, 10], [8, 9], [7, 10], [6, 10], [6, 10], [5, 9], [6, 9], [10], [10], [7, 10], [], [], [8, 8], [6, 10], [], [], [8, 8], [9]]
[[6, 10], [7, 9], [7, 8], [2, 10], [8], [5, 9], [9], [9], [9], [10], [7, 8], [7, 7], [8], [6, 10], [10], [9], [10], [8], [10], [6, 6], [10], [8, 8]]
[[2, 7, 7], [7, 9], [7, 7], [10], [8], [], [8, 8], [9], [10], [10], [9], [5], [9], [10], [6, 10], [10], [8, 8], [10], [9], [9], [8, 8], [6, 6], [6, 10]]
[[2, 7], [5, 8], [10], [9], [9], [6, 8], [8], [8], [9], [10], [6, 8], [7, 7], [10], [10], [10], [10], [9], [10], [9], [10], [9], [6, 8], [7, 7], [6, 8]]
[[2, 9], [5, 8], [10], [9], [10], [7, 7], [6, 8], [6, 8], [9], [10], [10], [9], [8], [9], [10], [9], [10], [6, 6], [10], [8], [8], [7, 7], [8], [7], [10]]
[[6, 7], [10], [9], [10], [9], [10], [10], [10], [8], [8], [8], [10], [10], [9], [5, 8], [10], [9], [9], [8], [8], [8], [6, 7], [9], [6, 7], [2, 7], [6, 7]]
[[6, 7], [2, 8], [5, 8], [8], [10], [8], [10], [10], [10], [9], [10], [10], [8], [10], [6, 7], [10], [9], [8], [9], [9], [6, 7], [9], [], [9], [8], [7], [6, 7]]
[[10], [10], [9], [10], [5, 8], [8], [10], [8], [8], [10], [9], [8], [6, 7], [6, 7], [9], [9], [9], [9], [10], [10], [8], [], [6, 7], [6, 7], [], [8], [7], [2, 10]]
[[2, 8], [10], [10], [5, 7], [10], [10], [6, 6], [6, 6], [9], [8], [9], [10], [9], [8], [8], [9], [8], [10], [7], [10], [8], [7], [], [7], [7], [9], [9], [8], [10]]
[[2, 8], [8], [9], [9], [9], [10], [8], [10], [10], [10], [8], [10], [10], [10], [5, 7], [10], [6, 6], [8], [9], [8], [9], [8], [9], [7], [7], [], [], [6, 6], [7], [7]]
[[2, 8], [6, 6], [], [8], [9], [10], [10], [9], [10], [6, 6], [8], [10], [10], [10], [10], [10], [7], [8], [8], [5, 7], [9], [9], [9], [9], [8], [], [8], [7], [7], [7], []]
[[2], [6], [10], [10], [10], [8], [10], [8], [10], [10], [10], [7], [8], [9], [8], [9], [8], [9], [9], [8], [8], [6], [9], [10], [9], [6], [7], [5], [6], [7], [7], [7]]
-EndAllocation

Instance: [[1], [255], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [170, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [128, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 9, 9], [4, 4, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [4, 4, 6, 6, 6, 6]]
[[4, 9, 9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 10, 10, 10], [6, 6, 6, 6, 10, 10, 10, 10], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 10, 10]]
[[8, 8, 8, 8, 8, 8], [4, 4, 7, 10, 10, 10], [8, 8, 8, 8], [10, 10, 10, 10], [], [6, 6, 6, 6, 7, 7, 7], [9, 9, 9, 9, 9]]
[[4, 4, 10, 10, 10], [7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 9], [], [8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [4, 6, 6, 6, 6, 8], [8], [8, 10, 10, 10], [8, 10, 10, 10], [8, 9], [7, 7, 7, 7, 8], [9, 9, 9, 9], [10]]
[[4, 4, 7, 10], [6, 6, 6, 6, 7], [7, 7, 9, 9], [10, 10, 10], [], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8], [9, 9, 9], [10, 10, 10]]
[[4, 4, 8, 8], [], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6], [9, 9], [7, 7, 7, 7], [10]]
[[4, 4, 6, 10], [9, 10, 10], [8, 8, 8], [], [8, 8, 8], [8, 8, 8], [6, 6, 6, 9], [7, 7, 7, 7], [], [10, 10], [9, 9, 9], [8, 10, 10]]
[[4, 4, 8, 10], [8, 8, 8], [10, 10], [7, 9, 9], [9, 9], [9], [10, 10], [6, 6, 6, 6], [], [8, 8, 8], [7, 7, 7], [10, 10], [8, 8, 8]]
[[4, 4, 7, 8], [8, 8, 8], [9, 9], [], [], [10, 10], [10, 10], [8, 8, 8], [10, 10], [9, 9], [9, 10], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8]]
[[4, 8, 8], [6, 8, 8], [7, 7, 7], [10, 10], [4, 9, 9], [10], [9, 9], [6, 6, 6], [10, 10], [], [7, 9], [8, 8], [8, 8], [10, 10], [8, 8]]
[[4, 7, 8], [4, 8, 8], [8, 8], [9, 9], [8, 8], [10, 10], [6, 9], [7, 7, 7], [6, 6, 6], [8, 8], [8], [], [10, 10], [10, 10], [10], [9, 9]]
[[4, 8, 8], [10, 10], [4, 8, 8], [8, 8], [6, 9], [10, 10], [9, 9], [10], [10, 10], [7, 7], [], [6, 6, 6], [7, 7], [], [9, 9], [8, 8], [8, 8]]
[[6, 6, 6], [4, 4, 6], [10, 10], [8, 8], [7, 7], [10], [8, 8], [9], [8, 8], [7, 7], [10, 10], [9, 9], [], [], [8, 8], [10, 10], [9, 9], [8, 8]]
[[4, 4, 10], [8], [8], [8, 10], [8], [8, 9], [8], [8, 10], [9, 9], [10], [7, 10], [10], [6, 6, 6], [7, 10], [7, 7], [9, 9], [8], [6, 8], [8]]
[[8, 8], [8, 8], [4, 10], [4, 6, 6], [8, 8], [6, 10], [7, 9], [6, 9], [7, 10], [9], [10], [], [10], [10], [8, 8], [10], [7, 7], [9], [9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 4, 9], [9], [9], [9], [6, 10], [6, 10], [10], [10], [10], [7, 7], [], [7, 7], [8, 8], [10], [10], [9], [8, 8], [6, 6]]
[[6, 10], [8, 8], [8, 8], [6, 9], [9], [10], [10], [9], [10], [8, 8], [7, 7], [7, 7], [], [6, 6], [9], [10], [8, 8], [8, 8], [10], [9], [10], [4, 4]]
[[4, 9], [8, 8], [7, 7], [10], [7, 7], [], [8, 8], [8, 8], [6, 6], [10], [10], [9], [10], [9], [8], [10], [8, 8], [10], [9], [9], [10], [6, 6], [4, 8]]
[[6, 8], [10], [6, 8], [10], [9], [9], [8], [7, 7], [10], [10], [8], [6, 8], [7, 7], [6, 8], [10], [10], [8], [9], [10], [9], [8], [8], [4, 9], [4, 8]]
[[4, 10], [7, 7], [6, 8], [8], [8], [10], [8], [10], [8], [8], [8], [10], [7, 7], [10], [10], [8], [9], [6, 6], [10], [6, 8], [9], [8], [9], [9], [4, 9]]
[[10], [4, 9], [6, 7], [8], [8], [9], [9], [8], [8], [10], [8], [6, 7], [10], [8], [10], [10], [10], [9], [10], [6, 7], [8], [8], [8], [8], [4, 9], [6, 7]]
[[9], [4, 8], [8], [7], [9], [10], [8], [6, 7], [9], [9], [8], [6, 7], [7], [6, 6], [10], [10], [8], [10], [8], [8], [10], [8], [8], [8], [10], [10], [4, 9]]
[[4, 9], [4, 8], [8], [8], [8], [8], [10], [8], [10], [7], [10], [8], [9], [10], [10], [9], [9], [9], [6, 6], [6, 6], [10], [7], [7], [8], [8], [8], [10], [7]]
[[4, 8], [8], [7], [9], [8], [9], [9], [7], [10], [10], [9], [9], [], [10], [8], [10], [8], [8], [8], [7], [6, 6], [7], [6, 6], [10], [10], [10], [8], [8], [4, 8]]
[[7], [10], [8], [9], [9], [8], [8], [8], [8], [9], [10], [8], [], [10], [10], [8], [6, 6], [9], [6, 6], [10], [9], [8], [10], [7], [10], [8], [7], [4, 4], [7], [8]]
[[9], [4, 8], [8], [8], [7], [8], [8], [10], [8], [], [9], [7], [], [10], [7], [7], [9], [8], [10], [], [9], [6, 6], [8], [10], [10], [9], [8], [6, 6], [10], [10], [4, 8]]
[[8], [4, 4], [6], [8], [8], [8], [8], [8], [6], [8], [6], [7], [9], [7], [8], [], [8], [10], [10], [9], [10], [7], [10], [10], [9], [6], [7], [9], [10], [10], [9], [8]]
-EndAllocation

Instance: [[1], [254], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[3, 5, 5, 5, 5, 5, 7, 10, 10, 10, 10, 10], [2, 4, 6, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5, 6], [2, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 4, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[], [5, 5, 5, 6, 6, 7, 10, 10, 10, 10, 10], [4, 5, 7, 9, 10, 10, 10, 10, 10, 10], [2, 3, 5, 8, 8, 9, 10, 10, 10, 10, 10]]
[[], [8, 8, 9, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 10, 10, 10], [2, 3, 4, 5, 7, 9, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10]]
[[], [5, 10, 10, 10, 10, 10], [3, 5, 5, 5, 5, 8, 8, 9], [7, 7, 10, 10, 10, 10], [2, 4, 6, 6, 9, 10, 10], [10, 10, 10, 10, 10]]
[[], [2, 5, 5, 5, 5, 5, 10, 10], [6, 6, 9, 10, 10], [7, 7, 10, 10, 10], [4, 10, 10], [9, 10, 10, 10, 10], [3, 8, 8, 10, 10, 10]]
[[], [10, 10], [9, 10, 10, 10], [10, 10, 10, 10], [7, 10, 10, 10], [2, 4, 9, 10, 10], [5, 5, 5, 5, 5, 8, 8], [3, 6, 6, 7, 10, 10]]
[[], [9, 9, 10, 10], [3, 10, 10, 10], [5, 5, 5, 5, 10], [10, 10], [2, 10, 10, 10], [4, 10, 10, 10], [6, 7, 8, 8], [5, 6, 7, 10, 10]]
[[], [4, 10, 10, 10], [10], [10, 10, 10], [10, 10, 10], [9, 10, 10], [5, 8, 8, 10], [2, 3, 7, 7, 10], [5, 5, 5, 5, 10], [6, 6, 9, 10]]
[[], [2, 7, 7, 10], [5, 5, 5, 5, 5], [9, 10, 10], [9, 10, 10], [6, 10, 10], [4, 6, 10, 10], [10, 10, 10], [3, 8, 8, 10], [], [10, 10, 10]]
[[], [2, 5, 10, 10], [10, 10], [10, 10], [7, 10, 10], [9, 10, 10], [6, 6, 10], [10, 10], [3, 4, 7, 10], [10, 10], [8, 8, 9], [5, 5, 5, 5]]
[[10], [5, 5, 5, 5, 5], [10, 10], [4, 7, 10], [9, 10], [10, 10], [2, 10, 10], [3, 8, 8], [6, 6, 9], [10, 10], [10, 10], [7, 10], [10, 10]]
[[], [5, 10, 10], [7, 7, 9], [10, 10], [10, 10], [10, 10], [10], [6, 6], [4, 10, 10], [9, 10], [2, 3, 8, 8], [10, 10], [10, 10], [5, 5, 5, 5]]
[[], [2, 10, 10], [8, 8], [6, 6], [5, 5, 5, 5], [4, 7, 10], [3, 9, 10], [10, 10], [5], [7, 9], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [7, 10], [10, 10], [10, 10], [], [2], [3, 8, 9], [5, 5, 5, 5], [9, 10], [4, 5, 10], [7, 10], [6, 6, 8], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10], [10, 10], [8, 9], [5, 5, 5, 5], [6, 10], [7], [3, 10], [10, 10], [4, 10], [10, 10], [10, 10], [10, 10], [2], [5, 7, 8], [10, 10], [6, 9]]
[[], [9, 10], [9], [5, 5, 5, 5], [10, 10], [10, 10], [10], [10, 10], [10, 10], [2, 4, 6, 6], [7], [10, 10], [10, 10], [8, 8], [10, 10], [5, 7], [], [3]]
[[10], [7, 10], [10], [9], [10], [6, 10], [5, 5, 5], [3, 10], [2, 7, 9], [6, 10], [10], [10], [8, 10], [5, 10], [10], [10], [8, 10], [5, 10], [4, 10]]
[[10], [2, 10], [6, 6], [5, 8], [3, 10], [10], [10], [8, 9], [10], [4, 10], [10], [10], [10], [5, 10], [5, 10], [7, 10], [5, 9], [7, 10], [5, 10], [10]]
[[10], [10], [10], [6, 9], [], [6, 10], [7, 10], [2, 10], [7, 10], [8, 8], [10], [10], [10], [5, 10], [10], [10], [5, 10], [10], [3, 4, 9], [5, 5, 5], [10]]
[[10], [10], [10], [10], [2, 10], [10], [10], [10], [7], [5, 10], [10], [5, 5, 5], [6, 9], [6, 10], [10], [8, 8], [10], [10], [3, 4, 5], [10], [10], [7, 9]]
[[10], [9], [3, 10], [10], [10], [6, 6], [9], [5, 5, 5], [8, 8], [10], [10], [10], [10], [10], [7], [10], [2, 10], [10], [5, 10], [4, 5, 7], [10], [10], [10]]
[[8], [10], [4, 10], [5, 5], [10], [3, 10], [10], [10], [5, 9], [10], [10], [9], [5, 5], [6, 7], [10], [10], [10], [2, 8], [10], [6, 7], [10], [10], [10], [10]]
[[8], [10], [10], [7, 7], [10], [5], [6, 6], [3, 10], [4, 10], [10], [9], [5, 5], [10], [10], [8], [10], [10], [9], [10], [10], [2, 10], [10], [10], [5, 5], [10]]
[[7], [2, 10], [5, 5], [8], [10], [10], [10], [10], [10], [5, 8], [10], [10], [3, 10], [10], [4], [7], [9], [5, 5], [10], [10], [10], [9], [10], [10], [6, 6], [10]]
[[10], [8], [4, 5], [5, 5], [2, 10], [9], [10], [10], [10], [10], [10], [10], [10], [10], [7], [3, 10], [6, 6], [8], [9], [10], [10], [10], [10], [10], [7], [5, 5], []]
[[10], [10], [10], [10], [2, 10], [10], [], [3, 10], [5, 5], [8], [10], [9], [10], [10], [7], [5], [10], [5, 5], [10], [9], [], [4, 7], [8], [6, 6], [10], [10], [10], [10]]
[[9], [], [6], [10], [5, 5], [10], [10], [10], [5, 5], [6], [8], [7], [10], [9], [10], [10], [10], [10], [10], [4], [10], [7], [10], [10], [8], [2, 10], [10], [10], [3, 5]]
[[10], [6, 6], [3, 7], [10], [4, 8], [10], [10], [9], [10], [], [2, 10], [9], [10], [10], [10], [10], [5, 5], [8], [10], [], [10], [5, 5], [10], [], [10], [7], [10], [], [5], [10]]
[[], [10], [], [10], [8], [10], [3, 6], [5, 5], [6], [10], [7], [10], [10], [10], [9], [5], [7], [], [10], [10], [4], [10], [10], [10], [9], [5, 5], [10], [10], [2, 10], [8], [10]]
[[10], [10], [10], [5], [7], [5, 5], [8], [], [10], [10], [5, 5], [3], [8], [10], [10], [10], [10], [10], [2], [6], [9], [10], [10], [4], [10], [10], [6], [], [9], [10], [7], [10]]
-EndAllocation

Instance: [[1], [253], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 30, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 23, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[8, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [4, 7, 7, 7]]
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [4], [8, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6], [8, 8], [9, 9, 9, 9, 9, 9], [4, 7, 7, 7, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8], [8, 8, 8], [7, 7, 7, 10, 10], [9], [4, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 10], [4, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 10, 10], [7, 7, 7, 9, 9], [], [8, 8, 8, 8, 8]]
[[6, 7, 8], [4, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 7, 7], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 9, 9]]
[[6, 6, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [4], [8], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6]]
[[8, 8, 8], [], [10, 10, 10], [4, 7, 7, 7], [9, 9, 9], [8, 8, 8], [10, 10, 10], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [6, 6]]
[[10, 10], [10, 10], [9, 9, 9], [10, 10], [], [9, 9, 9], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [4, 6, 6, 6], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [4, 9, 9], [9, 9], [9, 9], [], [10, 10], [6, 6, 6, 6], [10, 10], [8, 8, 8], [7, 7, 7], [10, 10], [6, 6, 6]]
[[7, 7, 7], [6, 6, 8], [6, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [10, 10], [9, 9], [4], [], [8, 8, 8], [9, 9], [8, 8, 8]]
[[6, 8, 8], [10], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10], [9, 9], [8, 8], [], [8, 8], [8, 8], [9, 9], [9, 9], [6, 6, 10], [4, 6, 8]]
[[8, 8], [8, 8], [8, 8], [7, 7, 7], [9, 9], [10, 10], [6, 6, 9], [8], [6, 6, 6], [9, 9], [6, 9], [4], [6, 10], [10, 10], [10], [8, 8]]
[[8, 8], [9, 9], [8, 9], [8, 10], [9], [8, 10], [4, 9], [10], [], [7, 7], [8, 8], [6, 6, 6], [10, 10], [6, 6, 6], [7, 9], [6, 10], [8, 8]]
[[8, 10], [8, 8], [4, 8, 8], [8, 8], [8, 8], [6, 6, 6], [], [], [9, 9], [7, 7], [10, 10], [9, 9], [7], [], [9, 9], [10, 10], [6, 10], [6, 6, 6]]
[[8, 8], [8, 8], [6, 6, 6], [6, 10], [10], [6, 6, 6], [], [4], [8, 8], [10], [7, 7], [9, 9], [8], [10], [9, 9], [7, 10], [10], [9, 9], [8, 8]]
[[8, 9], [8, 8], [10], [6, 6], [8, 8], [7, 10], [8, 8], [6, 6], [10], [9], [7, 10], [4], [9], [9], [7, 10], [9], [9], [6, 10], [8, 8], [6, 6]]
[[6, 10], [8, 8], [6, 9], [9], [8, 8], [9], [6, 10], [], [], [4, 10], [9], [8], [7, 9], [10], [7, 7], [8, 8], [6, 9], [10], [6, 10], [6, 6], [8, 8]]
[[6, 9], [6, 8], [6, 8], [10], [10], [4, 6, 6], [10], [9], [6, 6], [9], [7, 7], [7, 8], [], [8, 8], [9], [10], [10], [8, 8], [10], [9], [9], [8, 8]]
[[9], [9], [8], [4, 9], [6, 8], [8], [10], [10], [10], [6, 8], [8], [6, 8], [10], [6, 8], [6, 8], [10], [9], [10], [9], [9], [7, 7], [6, 7], [6, 8]]
[[10], [9], [6, 8], [10], [9], [9], [7], [9], [], [9], [6, 8], [9], [6, 8], [8], [10], [7, 7], [8], [6, 8], [4, 10], [6, 8], [10], [6, 8], [6, 8], [10]]
[[9], [9], [6, 8], [6, 8], [10], [6, 8], [10], [9], [10], [6, 7], [9], [], [10], [7, 7], [9], [8], [8], [8], [10], [8], [6, 8], [8], [10], [4, 9], [6, 6]]
[[10], [8], [8], [9], [6, 7], [8], [9], [4, 9], [8], [10], [9], [8], [6, 6], [8], [6, 7], [10], [8], [8], [8], [10], [10], [6, 7], [10], [9], [6, 6], [9]]
[[10], [7], [8], [8], [6, 6], [8], [10], [9], [8], [6], [8], [9], [9], [9], [10], [9], [6, 7], [6, 7], [10], [4, 8], [8], [10], [10], [9], [8], [8], [6, 6]]
[[6, 6], [8], [8], [6, 7], [8], [8], [8], [6, 7], [9], [6, 6], [10], [10], [9], [10], [8], [8], [], [10], [8], [6, 7], [9], [9], [9], [10], [], [10], [9], [4, 8]]
[[6, 6], [7], [], [9], [9], [4, 8], [6], [9], [10], [9], [8], [7], [8], [10], [10], [9], [10], [6, 6], [10], [8], [6, 6], [8], [8], [8], [10], [9], [7], [8], [8]]
[[7], [6, 6], [8], [4, 8], [9], [8], [8], [7], [10], [9], [6, 6], [10], [6], [9], [10], [9], [9], [], [10], [10], [8], [8], [8], [10], [9], [8], [8], [6, 6], [7], []]
[[10], [6, 6], [4, 8], [8], [8], [8], [6, 6], [9], [9], [8], [8], [6, 6], [10], [9], [], [7], [8], [7], [10], [], [9], [9], [7], [10], [], [8], [10], [8], [9], [10], [6]]
[[10], [8], [8], [7], [8], [10], [6], [8], [6], [8], [7], [8], [8], [4, 6], [8], [8], [10], [6], [9], [9], [6], [6], [6], [9], [9], [7], [10], [9], [10], [10], [9], []]
-EndAllocation

Instance: [[1], [252], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 9], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 6, 6, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 7, 8, 8, 9, 10, 10, 10, 10, 10]]
[[8], [10, 10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 9]]
[[], [4, 4, 4, 4, 7, 9, 10, 10], [8, 10, 10, 10, 10, 10, 10], [6, 6, 7, 8, 10, 10, 10, 10], [5, 5, 5, 5, 5, 10, 10, 10, 10]]
[[], [5, 6, 6, 10, 10, 10], [4, 4, 4, 4, 5, 5, 5, 5, 8, 10], [8, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 9, 10, 10, 10]]
[[], [6, 6, 10, 10, 10], [5, 5, 5, 8, 10, 10], [7, 7, 10, 10, 10], [4, 4, 4, 4, 8, 9, 10], [5, 5, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [7, 7, 8, 10, 10], [4, 4, 4, 4, 5, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 6, 6], [8, 10], [9, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 10, 10], [9, 10, 10], [8, 10, 10], [8, 10, 10], [7, 7, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 6, 6]]
[[], [6, 6, 10, 10], [7], [5, 9, 10, 10], [10, 10, 10], [5, 5, 5, 5, 8], [8, 10, 10], [4, 4, 4, 4, 7, 10], [10, 10, 10], [10, 10, 10]]
[[], [6, 6, 10], [10, 10, 10], [8, 10, 10], [5, 5, 10, 10], [5, 7, 7], [10], [10, 10, 10], [5, 5, 9, 10], [8, 10, 10], [4, 4, 4, 4, 10]]
[[], [5, 10, 10], [10, 10], [4, 4, 4, 4, 10], [7, 7, 10], [6, 6, 9], [10, 10], [10, 10], [10, 10], [8, 10, 10], [5, 5, 5, 5, 8], [10, 10]]
[[], [5, 5, 5, 5, 5], [10, 10], [7, 7, 10], [4, 4, 4, 4, 9], [8, 10], [10, 10], [10, 10], [10, 10], [8, 10], [10, 10], [6, 6, 10], [10, 10]]
[[], [4, 4, 4, 4], [10, 10], [6, 6, 7], [10, 10], [10, 10], [5, 5, 5, 9], [10, 10], [10, 10], [5, 5, 10], [8, 10], [10, 10], [7, 10], [8, 10]]
[[], [10, 10], [7, 7], [10, 10], [4, 4, 4, 4], [5, 8], [10], [10, 10], [10, 10], [9, 10], [6, 6, 8], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[], [7, 10], [4, 4, 4, 4], [8, 10], [10, 10], [10], [9, 10], [8, 10], [10, 10], [5, 10], [5, 5, 5, 5], [10, 10], [], [6, 6, 7], [10, 10], [10, 10]]
[[], [10, 10], [5, 5, 5], [7], [10, 10], [6, 6], [10, 10], [10], [10, 10], [4, 4, 4, 4], [10, 10], [5, 5, 9], [7, 8], [], [10, 10], [8, 10], [10, 10]]
[[10], [10], [10], [5, 10], [10], [6, 10], [4, 4, 9], [6, 10], [4, 4, 10], [5, 10], [7, 10], [10], [7, 10], [10], [5, 10], [5, 5, 8], [10], [8, 10]]
[[10], [6, 10], [8, 10], [10], [7, 10], [10], [10], [8, 10], [10], [5, 10], [10], [4, 4, 4, 4], [10], [5, 5, 5], [10], [6, 9], [10], [5, 10], [7, 10]]
[[10], [5, 10], [5, 10], [8], [5, 10], [8, 9], [10], [10], [6, 6], [10], [5, 10], [10], [7, 10], [7, 10], [4, 4, 4, 4], [10], [10], [10], [10], [5, 10]]
[[10], [5, 10], [10], [7, 8], [10], [5, 9], [5, 10], [10], [5, 10], [10], [4, 4, 4, 4], [10], [10], [5, 10], [10], [7, 8], [10], [6, 6], [10], [10], [10]]
[[10], [5, 10], [10], [10], [10], [10], [10], [10], [10], [6, 6], [10], [8], [10], [4, 4, 4, 4], [7, 8], [10], [5, 5, 5], [10], [10], [7, 9], [5, 10], [10]]
[[10], [4, 10], [9], [5, 5], [7, 7], [10], [10], [10], [10], [4, 10], [10], [10], [6, 6], [5, 5], [10], [10], [5, 8], [4, 10], [4, 10], [10], [10], [10], [8]]
[[10], [10], [4, 5, 5], [4, 8], [10], [10], [10], [10], [5], [10], [6, 6], [10], [10], [10], [10], [10], [4, 9], [10], [7, 7], [8], [4, 5, 5], [10], [10], [10]]
[[10], [10], [10], [10], [5, 7], [5, 5], [10], [4, 4, 4], [10], [10], [10], [7], [6, 6], [10], [10], [10], [10], [8], [10], [10], [9], [4, 8], [5, 5], [10], [10]]
[[10], [10], [10], [4, 6], [10], [10], [9], [10], [4, 4, 4], [10], [8], [10], [5, 5], [10], [10], [10], [7], [8], [5, 5], [10], [10], [10], [10], [10], [5, 6], [7]]
[[10], [5, 5], [10], [10], [5, 5], [4, 4, 4], [10], [10], [6, 6], [10], [10], [], [10], [5, 7], [8], [7], [10], [4], [10], [10], [8], [10], [10], [10], [10], [10], [9]]
[[10], [], [7], [4, 5], [10], [9], [10], [10], [10], [10], [10], [8], [], [10], [7], [10], [10], [5, 5], [10], [10], [10], [10], [10], [8], [10], [6, 6], [4, 4, 4], [5, 5]]
[[8], [10], [10], [], [10], [10], [5, 5], [10], [10], [10], [5], [4], [9], [5, 5], [10], [], [4, 4, 4], [10], [10], [7], [10], [10], [7], [10], [8], [10], [10], [10], [6, 6]]
[[10], [4, 4, 4], [], [10], [10], [10], [10], [10], [10], [5], [6, 6], [10], [], [10], [10], [8], [10], [7], [9], [10], [4, 7], [10], [10], [5, 5], [10], [10], [8], [], [], [5, 5]]
[[10], [], [4, 8], [10], [10], [10], [], [], [], [4, 4, 4], [5], [10], [10], [10], [10], [10], [5, 5], [10], [6, 6], [10], [5, 5], [9], [7], [10], [8], [10], [10], [10], [], [7], [10]]
[[10], [10], [6], [10], [10], [10], [8], [10], [10], [4, 4], [8], [9], [10], [10], [], [5, 5], [10], [10], [], [], [5], [10], [6], [4, 4], [10], [10], [7], [10], [10], [5, 5], [7], []]
-EndAllocation

Instance: [[1], [251], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 5, 5, 5, 7, 7, 7, 8, 8, 9, 9, 9], [2, 3, 5, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 6, 6, 6, 10], [2, 7, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10], [3, 5, 5, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[10], [2, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 8, 9, 9, 9, 10], [3, 4, 7, 7, 7, 8, 10, 10, 10, 10]]
[[], [8, 8, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 9, 9, 9], [3, 4, 10, 10, 10, 10, 10, 10], [2, 7, 7, 7, 10, 10, 10]]
[[], [2, 4, 5, 5, 5, 10, 10], [5, 10, 10, 10, 10, 10], [6, 6, 8, 8, 10, 10], [3, 7, 7, 7, 9, 9, 9], [6, 10, 10, 10, 10, 10]]
[[], [5, 10, 10, 10, 10], [2, 7, 7, 7, 8, 8], [3, 6, 6, 6, 10, 10], [10, 10, 10, 10], [4, 9, 9, 9, 10], [5, 5, 5, 10, 10, 10]]
[[], [6, 6, 6, 7, 7, 7], [10], [3, 9, 9, 9, 10], [10, 10, 10, 10], [2, 5, 5, 5, 5, 10, 10], [4, 8, 8, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [3, 4, 10], [6, 10, 10, 10], [5, 5, 5, 5, 6, 6], [7, 9, 9, 9], [2, 7, 7, 10, 10], [10, 10, 10], [8, 8, 10, 10]]
[[], [3, 8, 8], [4, 7, 7, 7], [10, 10, 10], [2, 10, 10, 10], [5, 5, 5, 5, 6], [9, 9, 9], [10, 10, 10], [6, 6, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 10], [10, 10, 10], [3, 10, 10], [2, 4, 7, 7, 7], [8, 8, 10], [10, 10, 10], [5, 5, 5, 5, 10], [9, 9, 9], []]
[[], [10, 10], [10, 10], [9, 9, 9], [10, 10], [4, 5, 5, 5], [8, 8, 10], [3, 10, 10], [10, 10], [6, 6, 6, 10], [5, 10, 10], [2, 7, 7, 7]]
[[], [3, 10, 10], [5, 5, 5, 5], [9, 9], [10, 10], [10, 10], [10, 10], [9, 10], [4, 10, 10], [6, 6, 6], [10, 10], [2, 7, 7, 7], [8, 8, 10]]
[[], [9, 10], [4, 6, 6, 6], [10], [10, 10], [7, 7, 7], [3, 10, 10], [8, 8], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [2, 10, 10]]
[[], [10, 10], [7, 7, 7], [10, 10], [3, 10], [4, 6, 6, 6], [5, 5, 5, 5], [10, 10], [10, 10], [8, 8], [10, 10], [9, 9], [2, 10, 10], [9, 10], []]
[[], [9, 10], [10, 10], [7, 10], [5, 10], [10, 10], [10, 10], [4, 10], [9, 9], [], [6, 6, 6], [3, 7, 7], [2, 8, 8], [10, 10], [5, 5, 5], [10, 10]]
[[], [7, 8], [9], [10, 10], [8, 10], [10], [9, 9], [], [5, 5, 5, 5], [6, 6, 6], [4, 10], [2, 7, 7], [10, 10], [10, 10], [3, 10], [10, 10], [10, 10]]
[[10], [6, 6], [5, 10], [5, 10], [8, 10], [2, 3, 5, 7], [7, 10], [10], [10], [10], [10], [8, 10], [7, 10], [9, 9], [5, 10], [10], [4, 9], [6, 10]]
[[10], [7, 7], [3, 10], [4, 10], [10], [10], [5, 5, 5], [9, 9], [6, 6, 6], [8, 9], [5, 10], [10], [8, 10], [10], [10], [10], [10], [2, 10], [7, 10]]
[[10], [7, 10], [8, 8], [7, 10], [9], [10], [6, 6], [10], [2, 5, 5, 5], [10], [10], [10], [10], [4, 10], [3, 10], [6, 9], [9], [7, 10], [5, 10], [10]]
[[10], [3, 9], [10], [10], [6, 6], [2, 9], [10], [5, 5, 5], [5, 10], [10], [7, 9], [6, 10], [10], [10], [10], [10], [10], [7, 7], [4, 10], [10], [8, 8]]
[[10], [5, 6], [3, 10], [10], [5, 5, 5], [10], [9], [10], [10], [10], [9], [8, 8], [6, 10], [10], [7], [6, 7], [7, 9], [10], [4, 10], [10], [2, 10], [10]]
[[10], [4, 10], [10], [10], [10], [6, 7], [10], [10], [3, 9], [5, 9], [10], [10], [8], [5, 5], [5, 6], [10], [2, 10], [10], [9], [10], [6, 8], [7, 7], [10]]
[[10], [5, 5], [10], [5, 9], [5, 8], [4, 10], [2, 10], [3, 10], [10], [8], [6, 6], [10], [10], [10], [10], [9], [10], [10], [10], [7, 7], [10], [9], [7], [6]]
[[9], [10], [9], [2, 10], [10], [10], [10], [10], [10], [4, 10], [5, 5], [10], [10], [10], [10], [7, 7], [9], [3, 7], [10], [8], [5, 5], [10], [6, 6], [6], [8]]
[[10], [6], [10], [10], [10], [7], [8], [7], [10], [9], [5, 5], [10], [10], [10], [10], [10], [2, 10], [8], [10], [3, 10], [9], [5, 5], [9], [6, 6], [4, 7], [10]]
[[9], [10], [6, 6], [10], [7], [10], [10], [10], [7], [10], [5, 5], [8], [10], [8], [10], [10], [10], [10], [2], [10], [3, 9], [4, 7], [10], [10], [5, 5], [9], [6]]
[[10], [10], [7], [8], [2, 10], [4], [10], [9], [10], [10], [3], [7], [6], [10], [9], [10], [10], [5, 5], [5, 5], [8], [7], [10], [9], [10], [6, 6], [10], [10], [10]]
[[7], [7], [9], [4], [9], [10], [10], [], [10], [2, 10], [], [10], [5, 5], [10], [6, 6], [9], [5, 5], [10], [10], [10], [10], [10], [3, 6], [10], [7], [10], [10], [8], [8]]
[[8], [10], [], [5, 5], [9], [7], [], [10], [10], [7], [9], [10], [6, 6], [10], [10], [10], [10], [4], [2, 7], [9], [10], [10], [8], [10], [5, 5], [6], [10], [10], [3], [10]]
[[], [9], [6, 6], [10], [10], [10], [9], [10], [], [10], [8], [10], [10], [7], [10], [5, 5], [10], [], [10], [2, 3, 6], [9], [10], [], [5, 5], [7], [8], [4], [10], [10], [7], [10]]
[[], [3], [10], [8], [7], [9], [10], [6], [10], [10], [2, 7], [10], [10], [6], [10], [10], [4], [5, 5], [6], [5, 5], [10], [9], [], [7], [10], [10], [], [10], [9], [8], [10], [10]]
-EndAllocation

Instance: [[1], [250], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 4, 6, 6, 6, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[6, 6, 6, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 9, 9, 9, 9, 9, 9], [3, 3, 3, 3, 3, 4, 6, 6, 6, 8, 8, 8, 8, 10]]
[[3, 3, 3, 3, 3, 8, 10], [9, 9, 9, 9, 9, 9], [4, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 7, 8, 8, 8, 10, 10, 10]]
[[9, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 10, 10], [3, 3, 3, 3, 3, 10, 10, 10, 10, 10], [8, 8, 8, 8], [4, 6, 6, 6, 7]]
[[3, 3, 3, 4, 6, 6, 6, 10, 10], [3, 3, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7], [8, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10], [9, 9, 9, 9, 10], [9, 10, 10, 10], [3, 3, 3, 3, 3], [6, 6, 6, 10, 10, 10], [7, 9], [4, 8, 8, 8, 8, 10]]
[[10, 10, 10, 10], [3, 6, 6, 6, 8, 10], [3, 3, 3, 3, 10, 10, 10], [], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9], [4, 7, 8, 8, 8]]
[[6, 6, 6, 7, 10], [8], [9, 9, 9, 9], [9, 9], [10, 10, 10], [3, 3, 3, 3, 3, 10, 10], [8, 10, 10], [8, 10, 10], [4, 8, 10, 10]]
[[3, 4, 10, 10], [6, 6, 6], [], [10, 10, 10], [9, 9, 10], [10, 10, 10], [9, 9, 10], [3, 3, 3, 3, 10, 10], [8, 8, 8, 8], [7, 9, 9]]
[[10, 10, 10], [4], [9, 9, 9], [3, 3, 3, 3, 3], [6, 6, 6, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [7]]
[[9, 9, 9], [4, 10, 10], [8], [3, 3, 3, 3, 3], [10, 10], [10, 10], [6, 6, 6], [10, 10], [10, 10], [7, 10, 10], [9, 9, 9], [8, 8, 8]]
[[7, 8, 9], [4, 10, 10], [10, 10], [10, 10], [], [9, 9], [3, 3, 3, 3, 3, 10], [6, 6, 6], [8, 8, 8], [9, 9], [10, 10], [9, 10], [10, 10]]
[[3, 4, 6, 9], [6, 6, 10], [10, 10], [8, 10], [10], [3, 3, 3, 3, 10], [], [9, 10], [9, 10], [9, 10], [9, 10], [9, 10], [8, 8, 8], [7, 10]]
[[3, 3, 3, 3, 3, 4], [10, 10], [10, 10], [9, 9], [7], [9, 9], [6, 6, 6], [8, 8], [], [10, 10], [9, 9], [10, 10], [10, 10], [8, 8], [10, 10]]
[[3, 9, 9], [4, 7, 9], [8, 10], [10], [8, 10], [10], [10], [3, 3, 3, 10], [10], [10], [9, 9], [10], [8, 10], [8, 10], [9, 10], [3, 6, 6, 6]]
[[4, 6, 7], [10, 10], [10, 10], [6], [8, 8], [10, 10], [6], [9, 9], [8, 8], [10, 10], [10, 10], [], [9, 9], [9, 9], [10, 10], [3, 3, 3, 3, 3], []]
[[8, 8], [3, 4, 10], [8, 10], [9, 9], [3, 3, 10], [10], [10], [6, 6, 6], [10], [9, 9], [10], [7, 10], [9], [8, 10], [9], [10], [3, 3, 10], [10]]
[[4, 10], [6, 10], [8, 9], [10], [8, 10], [9], [9], [6, 10], [10], [10], [9], [10], [3, 3, 3, 3, 3], [8, 10], [9], [10], [6, 10], [7, 9], [8, 10]]
[[6, 10], [3, 3, 9], [4, 10], [3, 7], [10], [10], [10], [6, 10], [9], [10], [10], [10], [10], [8, 9], [9], [10], [8, 8], [3, 3, 9], [8, 9], [6, 10]]
[[3, 3, 3, 3, 3], [8, 8], [10], [10], [7, 9], [8, 8], [9], [10], [9], [9], [9], [6, 10], [9], [10], [6, 10], [10], [10], [10], [10], [4, 10], [6, 10]]
[[4, 6, 6], [3, 3, 3, 3, 3], [8, 8], [10], [10], [10], [10], [7, 9], [10], [10], [9], [10], [9], [10], [9], [6, 9], [10], [9], [10], [8, 8], [10], [10]]
[[3, 3, 8], [3, 8], [4, 10], [6, 7], [10], [3, 9], [10], [10], [9], [10], [10], [9], [10], [10], [10], [3, 9], [10], [9], [6, 8], [9], [6, 8], [10], [10]]
[[3, 9], [4, 8], [9], [10], [10], [9], [10], [3, 9], [6, 8], [6, 8], [6], [10], [10], [10], [10], [9], [7], [10], [9], [10], [10], [3, 3, 8], [10], [3, 10]]
[[4, 9], [10], [10], [10], [10], [10], [10], [10], [10], [9], [10], [3, 3, 3, 3], [9], [8], [10], [8], [8], [10], [6, 7], [9], [10], [9], [6, 6], [8], [3, 9]]
[[4, 7], [10], [3, 3, 3, 3], [10], [10], [10], [10], [10], [10], [8], [10], [9], [9], [8], [9], [9], [9], [3, 10], [10], [9], [8], [10], [6], [8], [10], [6, 6]]
[[3, 3, 3, 3], [4], [10], [10], [10], [], [9], [9], [10], [10], [10], [10], [8], [8], [10], [10], [3, 9], [6, 6], [8], [10], [10], [9], [8], [9], [9], [6, 7], [10]]
[[3, 3, 3, 3], [4, 6], [9], [9], [9], [9], [9], [10], [10], [10], [10], [8], [10], [9], [3], [10], [], [8], [10], [10], [10], [6, 6], [10], [10], [8], [8], [7], [10]]
[[9], [4], [8], [3, 3, 3, 3], [9], [10], [9], [9], [6, 6], [10], [], [8], [], [6], [10], [10], [8], [10], [10], [9], [8], [3, 7], [10], [9], [10], [10], [10], [10], [10]]
[[3, 7], [3, 3, 3, 3], [9], [9], [10], [10], [10], [6], [10], [9], [10], [], [9], [8], [10], [10], [], [8], [10], [6, 6], [], [10], [8], [10], [10], [10], [8], [9], [9], [4]]
[[4, 6], [3, 3, 3, 3], [9], [9], [10], [3, 7], [10], [10], [9], [9], [8], [10], [8], [10], [], [], [9], [9], [8], [], [], [], [8], [6, 6], [10], [10], [10], [10], [10], [10], [10]]
[[10], [9], [10], [10], [10], [6], [3, 3], [6], [10], [8], [3, 3, 3], [9], [], [9], [6], [10], [], [8], [8], [10], [9], [], [8], [10], [7], [10], [9], [10], [10], [9], [10], [4]]
-EndAllocation

Instance: [[1], [249], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,32. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,32:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 10, 10, 10]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10, 10], [6, 7, 10, 10, 10, 10, 10, 10, 10]]
[[10], [6, 9, 9, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10]]
[[], [10, 10, 10, 10, 10], [9, 9, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [7, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10]]
[[], [4, 4, 4, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 9, 9], [10, 10, 10], [6, 10, 10, 10, 10], [8, 10, 10, 10, 10], [7, 10, 10, 10]]
[[], [7, 10, 10], [4, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [10, 10, 10, 10], [8, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 9, 9, 10], [4, 10, 10, 10], [7, 10], [10, 10, 10], [10, 10, 10], [6, 10, 10, 10]]
[[], [10, 10, 10], [10], [10, 10, 10], [9, 9, 10], [4, 4, 4, 4, 4, 4, 7], [8, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 6, 10]]
[[], [10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 8], [], [9, 9, 10], [10, 10, 10], [10, 10, 10], [7, 10, 10]]
[[], [10, 10], [10, 10], [7, 10, 10], [10, 10], [6, 10, 10], [4, 4, 4, 4, 4, 4, 4], [10], [4, 4, 9, 9], [4, 10, 10], [10, 10], [8, 10, 10]]
[[], [10, 10], [7, 10], [4, 4, 4, 4, 10], [10, 10], [4, 4, 4, 4, 4, 4], [8, 10], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10], [6, 10, 10]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4], [8, 10], [10, 10], [6, 10], [9, 9], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [7, 10], [10, 10]]
[[], [9, 9], [6, 7], [8], [10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 7], [10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [9, 9], [10, 10], [], [6], [4, 4, 10], [8, 10]]
[[], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10], [6, 8], [4, 4, 4, 4, 4], [10, 10], [9, 9], [], [10, 10], [10, 10], [7, 10], [10, 10], [10, 10], [10], []]
[[10], [10], [8, 10], [10], [10], [7, 10], [10], [4, 4, 10], [4, 4, 10], [10], [10], [9, 9], [4, 4, 10], [6, 10], [10], [10], [4, 4, 10], [4, 4, 10]]
[[10], [7, 10], [10], [10], [4, 4, 10], [4, 4, 10], [4, 4, 9], [9], [10], [10], [10], [4, 4, 10], [10], [10], [10], [8, 10], [10], [4, 4, 10], [6, 10]]
[[10], [10], [10], [4, 10], [10], [4, 10], [6, 10], [7, 10], [4, 10], [10], [10], [4, 10], [10], [10], [4, 4, 4, 4], [4, 4, 9], [10], [8, 9], [10], [10]]
[[10], [10], [10], [10], [4, 10], [6, 10], [10], [4, 10], [10], [4, 10], [10], [10], [10], [10], [4, 10], [8], [4, 4, 4, 4], [4, 9], [10], [7, 9], [4, 10]]
[[10], [10], [10], [10], [10], [6, 10], [10], [10], [10], [4, 4, 8], [7, 9], [4, 4, 4, 4], [4, 4, 4, 4], [9], [10], [10], [10], [10], [10], [10], [10], [10]]
[[10], [9], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [4, 10], [10], [6, 7], [4, 9], [4, 10], [4, 8], [10], [10]]
[[10], [4, 4, 4], [10], [4, 10], [10], [10], [10], [4, 4, 4], [10], [10], [8], [10], [10], [6], [4, 10], [9], [10], [4, 9], [10], [4, 7], [10], [10], [10], [10]]
[[10], [8], [10], [7], [10], [10], [10], [10], [10], [10], [10], [10], [4, 4, 4], [9], [10], [10], [10], [4, 4, 4], [10], [10], [6], [10], [4, 9], [10], [4, 4, 4]]
[[10], [10], [4, 4, 4], [10], [10], [10], [10], [7], [10], [10], [9], [10], [10], [4], [10], [6], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [8], [9], [10], [10]]
[[8], [10], [4, 9], [], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [10], [10], [7], [4, 4, 4], [10], [10], [6], [10], [], [4, 4, 4]]
[[10], [4], [10], [10], [10], [9], [4, 4, 4], [10], [], [8], [10], [6], [10], [10], [10], [4, 4, 4], [10], [7], [4, 4, 4], [10], [9], [10], [10], [10], [10], [], [10], [10]]
[[10], [10], [10], [4], [4, 4, 4], [6], [10], [9], [10], [10], [10], [10], [10], [10], [10], [], [10], [4, 4, 4], [10], [7], [10], [10], [4, 4, 4], [], [10], [], [8], [10], [9]]
[[10], [10], [9], [10], [10], [10], [10], [4, 4, 4], [10], [], [8], [10], [10], [7], [10], [10], [10], [10], [10], [], [9], [4], [10], [4, 4, 4], [6], [10], [], [10], [4, 4, 4], []]
[[], [], [7], [10], [10], [10], [6], [10], [10], [10], [10], [10], [10], [], [10], [10], [10], [10], [10], [4], [10], [4, 4, 4], [4, 4, 4], [], [8], [], [9], [4, 4, 4], [9], [10], [10]]
[[10], [10], [4, 4], [7], [], [], [9], [4, 4], [8], [10], [10], [10], [], [10], [], [4, 4], [4, 4], [6], [10], [10], [4, 4], [10], [10], [], [10], [10], [10], [10], [10], [10], [9], [10]]
-EndAllocation

Instance: [[1], [264], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10, 10, 10], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [6, 7, 7, 10], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [7, 7, 9], [5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[5, 5, 6, 7], [6, 6, 6, 6, 6, 7, 9, 9], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [8, 8, 10]]
[[8, 8, 10], [8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7], [], [5, 5, 9, 9, 9, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [7, 7], [5, 5, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8], [6, 9, 9, 9, 9], [10, 10], [9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6], [8, 8, 8, 10], [9, 9, 9, 9], [8, 8, 8, 10], [10, 10, 10, 10], [], [7, 7], [9, 9, 9, 9], [5, 5, 8, 8, 8]]
[[8, 8], [5, 10, 10, 10], [8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [7, 7], [8, 8, 8, 9], [9, 9, 9, 9], [10, 10, 10], [5, 9, 9, 9]]
[[8, 9, 9], [], [10, 10, 10], [7, 7], [8, 8, 8], [9, 9, 9], [5, 9, 9, 9], [6, 6, 6, 6, 8], [5, 6, 6, 8], [8, 8, 8], [10, 10, 10]]
[[6, 6, 6, 6], [5, 5, 9], [9, 10, 10], [9, 10, 10], [6, 6, 9], [8, 8, 8], [7, 7, 9], [9], [8, 9], [10, 10], [8, 8, 8], [8, 8, 9]]
[[8, 8, 10], [6, 8, 9], [10], [6, 10, 10], [9, 9, 9], [], [9, 9, 9], [6, 6, 6, 6], [10], [8, 8, 8], [5, 5, 7, 7], [9, 10], [8, 8, 8]]
[[6, 6], [6, 6, 9], [7, 7, 10], [9, 10], [9, 10], [9, 10], [6, 6, 9], [10], [9, 10], [9], [5, 5, 9], [8, 8, 8], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [9, 9], [10, 10], [6, 6], [9, 9], [10, 10], [7, 7], [6, 6, 6, 6], [9, 9], [], [8, 8, 8], [10, 10], [9, 9], [5, 5], [8, 8, 8]]
[[], [8, 8], [8, 8], [8, 8], [9, 9], [9, 9], [6, 6, 6], [10, 10], [5, 5, 8], [7, 7], [9, 9], [10, 10], [10, 10], [9, 9], [6, 6, 6], [8, 8]]
[[5, 8, 8], [8, 8], [6, 6, 6], [8], [9, 9], [9, 9], [7, 7], [6, 6, 6], [8, 8], [], [], [9, 9], [9, 9], [10, 10], [10, 10], [10, 10], [5, 8, 8]]
[[], [8, 8], [8, 8], [7, 7], [8, 9], [5, 5, 9], [10, 10], [9, 9], [10, 10], [], [6, 6, 6], [8, 8], [9, 9], [], [9, 9], [10, 10], [6, 6, 6], [8, 8]]
[[5, 8], [8, 8], [8, 8], [6, 6, 6], [10], [10], [9], [9], [10], [6, 6, 6], [8, 8], [9, 9], [10], [9, 9], [9, 9], [7, 7], [10], [8, 8], [5, 10]]
[[8], [8, 8], [10], [6, 6, 6], [9, 9], [9, 9], [5, 10], [6, 6], [], [9, 9], [7, 7], [9, 9], [5, 10], [10], [8, 8], [], [8, 8], [10], [8, 8], [6, 10]]
[[8, 9], [], [8, 8], [5, 10], [7, 7], [6, 9], [10], [9], [10], [6, 10], [9], [8, 8], [6, 9], [9], [10], [8, 8], [10], [6, 9], [6, 6], [8, 8], [5, 9]]
[[9], [8, 8], [8, 8], [5, 9], [9], [9], [5, 9], [6, 6], [10], [9], [6, 8], [8, 8], [10], [6, 6], [9], [10], [10], [7, 7], [10], [8, 8], [6, 10], [9]]
[[8, 8], [], [10], [10], [10], [9], [8, 8], [6, 6], [5, 9], [10], [10], [5, 9], [10], [8, 8], [9], [9], [9], [9], [8, 8], [6, 9], [7, 7], [6, 6], [6, 8]]
[[7, 7], [6, 8], [5, 9], [9], [10], [10], [10], [6, 8], [10], [9], [9], [9], [6, 8], [6, 8], [10], [9], [8], [9], [6, 8], [9], [10], [6, 8], [8], [5, 8]]
[[5, 8], [6, 8], [9], [7, 7], [6, 8], [10], [10], [9], [8], [10], [10], [9], [10], [9], [8], [9], [9], [9], [6, 8], [9], [6], [5, 8], [6, 8], [10], [6, 8]]
[[10], [9], [6, 8], [6, 8], [9], [6, 8], [7, 7], [], [9], [5, 8], [10], [10], [10], [5, 9], [6, 6], [8], [8], [9], [9], [8], [9], [8], [9], [10], [10], [6, 8]]
[[10], [9], [10], [5, 8], [8], [8], [8], [9], [8], [9], [10], [6, 6], [6, 7], [10], [10], [9], [8], [10], [9], [8], [5, 8], [9], [9], [9], [6, 6], [6, 7], [8]]
[[9], [8], [5, 8], [9], [6], [10], [6, 6], [10], [10], [10], [9], [9], [9], [9], [6, 7], [8], [8], [8], [8], [10], [9], [8], [9], [8], [6, 6], [10], [5, 8], [7]]
[[10], [8], [8], [9], [9], [6, 6], [6, 7], [9], [], [9], [9], [8], [9], [10], [8], [10], [10], [9], [8], [6, 6], [10], [8], [8], [8], [6, 7], [10], [8], [9], [5, 5]]
[[8], [5, 5], [8], [9], [8], [7], [8], [8], [10], [10], [9], [9], [10], [10], [9], [10], [7], [8], [6, 6], [10], [9], [9], [8], [], [9], [8], [6, 6], [6, 6], [9], [8]]
[[6, 6], [8], [8], [8], [8], [8], [9], [6, 6], [5, 5], [7], [9], [8], [8], [10], [], [8], [6, 6], [10], [], [10], [9], [9], [8], [10], [9], [9], [10], [9], [9], [10], [7]]
[[8], [], [5, 7], [8], [8], [], [8], [9], [6, 6], [], [6, 6], [10], [10], [10], [10], [10], [9], [10], [9], [9], [8], [6, 6], [9], [9], [5, 7], [8], [8], [8], [], [9], [9], [8]]
[[6], [5], [9], [8], [6], [8], [6], [10], [7], [9], [9], [10], [10], [8], [10], [10], [10], [6], [8], [6], [8], [8], [8], [9], [9], [9], [9], [8], [8], [6], [5], [7], [9]]
-EndAllocation

Instance: [[1], [263], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 8, 8, 10], [10, 10, 10, 10, 10, 10, 10]]
[[4, 7], [6, 6, 6, 6, 6, 6, 6, 7, 7], [10, 10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [4, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10], [7, 7, 7, 10, 10], [9, 9, 9, 9]]
[[4, 8, 8, 8, 8, 8], [7, 7, 7], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], []]
[[4, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [7, 7, 7], [10, 10, 10, 10], [6]]
[[4, 8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [7, 7, 7], [8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 10, 10]]
[[8, 8, 8, 8], [4], [8, 8, 8, 8], [6, 6, 7, 7], [7, 9], [9, 9, 9], [10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8], [10, 10, 10]]
[[8, 10, 10], [4, 8, 8, 8], [6, 10, 10], [6, 10, 10], [6], [8, 8, 8], [6, 7, 7, 7], [6, 8, 9], [9, 9, 9], [10, 10], [6], [6, 8, 8]]
[[4, 8, 8, 8], [8, 8, 8], [10], [10, 10], [9], [], [9, 9, 9], [6, 6, 10], [10, 10], [6, 6, 6, 6], [6, 7, 7, 7], [8, 10, 10], [8, 8, 8]]
[[4, 8, 10], [8, 8, 8], [9, 9], [10], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [6, 6, 6], [], [8, 8, 8], [7, 7, 7], [8, 8, 8]]
[[4, 6, 10], [8, 8, 8], [10, 10], [8], [], [10, 10], [7, 7, 7], [6, 6, 6, 6], [9, 9], [], [8, 8, 8], [10, 10], [9, 9], [6, 6, 10], [8, 8, 8]]
[[4], [8, 8], [8, 8], [6, 8, 8], [9, 9], [], [6, 6, 6], [10, 10], [8, 8], [6, 6, 6], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 7], [8, 8]]
[[6, 6, 6], [4, 8, 8], [8, 8], [8, 8], [10, 10], [10, 10], [7, 7, 7], [6, 6, 6], [10], [], [8, 8], [9, 9], [9, 9], [], [6, 10], [10, 10], [8, 8]]
[[4, 10], [8, 8], [10, 10], [7, 7], [8, 8], [10], [], [9, 9], [6, 6, 6], [8, 8], [6, 6, 7], [8, 8], [9, 9], [6, 6], [], [10, 10], [10, 10], [8, 8]]
[[8, 8], [4, 10], [6, 6], [6, 10], [10], [], [7, 10], [6, 10], [10], [6, 6, 6], [8, 8], [9, 9], [8, 8], [10], [9, 9], [7, 7], [10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 10], [6, 6, 6], [7, 10], [9, 9], [], [6, 6, 6], [7, 10], [9, 9], [7, 10], [], [], [10], [8, 8], [10], [8, 8], [6, 10], [8, 8], [10]]
[[4, 9], [6, 9], [8, 8], [6, 10], [7, 10], [10], [10], [10], [9], [10], [10], [8, 8], [6, 6], [], [7, 7], [8, 8], [6, 9], [10], [6, 6], [8, 8], [8, 8]]
[[6, 10], [6, 8], [8, 8], [10], [9], [8, 8], [9], [10], [10], [7], [6, 9], [6, 6], [10], [6, 6], [10], [10], [10], [7, 7], [4, 9], [8, 8], [8, 8], [8]]
[[4, 8], [8, 8], [10], [10], [10], [9], [8, 8], [6, 6], [9], [10], [10], [8], [10], [], [6, 9], [7, 7], [7, 9], [], [8, 8], [6, 10], [6, 10], [6, 6], [8, 8]]
[[6, 8], [10], [9], [10], [10], [6, 8], [9], [6, 8], [10], [10], [7, 7], [6, 8], [8], [9], [10], [9], [6, 8], [7], [10], [8], [6, 8], [8], [4, 10], [6, 8]]
[[6, 8], [10], [10], [6, 8], [10], [8], [10], [8], [8], [10], [8], [8], [7], [6, 8], [7, 7], [10], [6, 6], [10], [6, 8], [9], [9], [6, 8], [10], [4, 9], [9]]
[[4, 8], [6, 6], [6, 8], [10], [10], [9], [6, 7], [6, 8], [8], [8], [8], [7, 7], [6, 6], [10], [9], [8], [10], [8], [10], [8], [9], [10], [8], [10], [9], [10]]
[[6, 6], [10], [6, 7], [4, 8], [6, 7], [8], [6, 6], [8], [8], [8], [8], [10], [10], [10], [9], [9], [10], [6, 7], [10], [8], [8], [8], [9], [8], [9], [10], [10]]
[[10], [4, 8], [6, 7], [8], [8], [8], [6, 6], [8], [10], [6, 7], [10], [10], [8], [10], [10], [9], [6, 6], [9], [9], [10], [8], [8], [8], [9], [10], [], [8], [6, 7]]
[[6, 7], [8], [8], [8], [8], [8], [9], [6, 6], [10], [10], [8], [10], [6], [10], [9], [], [10], [10], [9], [6, 6], [8], [10], [10], [8], [8], [9], [8], [4, 7], [6, 7]]
[[10], [8], [8], [8], [8], [6], [8], [10], [10], [10], [7], [6, 6], [10], [7], [10], [8], [9], [9], [6, 6], [10], [9], [8], [8], [], [8], [7], [6, 6], [9], [10], [4, 8]]
[[8], [6], [8], [8], [7], [8], [], [7], [10], [6, 6], [9], [10], [6, 6], [10], [], [8], [6, 6], [8], [10], [10], [7], [9], [8], [8], [10], [9], [10], [8], [9], [10], [4, 8]]
[[8], [10], [7], [8], [7], [6], [6, 6], [9], [6, 6], [10], [10], [8], [8], [8], [], [], [9], [10], [], [7], [10], [6, 6], [9], [10], [10], [8], [8], [8], [10], [8], [9], [4, 8]]
[[8], [8], [8], [8], [8], [8], [8], [10], [7], [6], [6], [10], [8], [7], [10], [9], [10], [10], [8], [9], [9], [8], [10], [9], [10], [6], [7], [6], [6], [6], [10], [4], [6]]
-EndAllocation

Instance: [[1], [262], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [174, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [131, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [5, 5, 7, 10], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [7], [6, 6, 6, 6, 6, 6, 6, 8, 8], [5, 10, 10, 10, 10, 10, 10]]
[[9], [6, 6, 6, 6, 6, 6, 6, 7], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 8, 8, 10]]
[[5, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [], [7, 9, 9, 10], [9, 9, 9, 9, 9]]
[[5, 5, 8, 8, 8, 8], [7, 8, 8], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10], [9, 9, 9]]
[[5, 6, 8, 10, 10], [5, 8, 8, 8, 8], [6, 9, 9, 9], [6, 6, 8, 8, 8], [10, 10, 10, 10], [], [7], [9, 9, 9, 9], [6, 6, 6, 8, 8]]
[[5, 5, 8, 8], [10, 10, 10], [8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [7], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 9, 9, 9]]
[[8, 8, 8, 8], [5, 5, 9], [10, 10, 10], [7], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [6, 6], [8, 8], [10, 10, 10]]
[[5, 8, 8, 8], [5, 8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [8], [6, 6, 6, 7], [9, 9, 9], [9, 9, 9], [], [8, 8, 8], [9, 10, 10]]
[[5, 5, 6, 8], [8, 8, 9], [8, 9, 9], [8, 10, 10], [8, 9, 9], [], [9, 9], [6, 6, 6, 6], [10, 10], [6, 6, 8, 8], [7], [8, 10, 10], [8]]
[[8, 8, 8], [5, 8, 9], [5, 9, 9], [], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [6, 6, 6], [], [8, 8, 8], [7, 9, 9], [8, 8, 8]]
[[5, 8, 9], [8, 8, 8], [5, 6, 6, 6], [], [9, 9], [10, 10], [7], [6, 6, 6, 6], [9, 9], [], [8, 8, 8], [10, 10], [9, 9], [10, 10], [8, 8, 8]]
[[5, 5, 6, 6], [8, 8], [8, 8], [6, 8, 8], [9, 9], [9], [6, 6, 6], [10, 10], [8, 8], [7], [9, 9], [10, 10], [10, 10], [], [9, 9], [6, 8, 8]]
[[5, 5, 9], [8, 8], [8, 8], [8, 8], [10, 10], [10, 10], [8, 8], [6, 6, 6], [6, 6, 6], [], [6, 7], [9, 9], [9, 9], [9, 9], [], [10, 10], [8, 8]]
[[8, 9], [6, 8], [10, 10], [7, 10], [8, 8], [], [], [9, 9], [6, 6, 6], [8, 8], [9, 9], [8, 8], [9, 9], [6, 6, 6], [], [5, 5, 10], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [5, 9], [5, 10], [10], [6, 10], [6, 6, 6], [9, 9], [6, 6, 6], [8, 8], [9, 9], [], [10], [9, 9], [7], [10], [10], [8, 8]]
[[8, 8], [8, 8], [5, 5, 6], [6, 6, 6], [7, 10], [9, 9], [10], [6, 6, 6], [10], [9], [10], [8, 8], [], [10], [9, 9], [], [8, 8], [10], [9, 9], [8, 8]]
[[5, 9], [8, 8], [8, 8], [8, 8], [7], [6, 9], [9], [9], [9], [9], [10], [10], [6, 6], [10], [6, 10], [8, 8], [6, 6], [5, 10], [6, 10], [9], [8, 8]]
[[5, 8], [8, 8], [8, 8], [8], [9], [7], [9], [10], [6, 10], [9], [6, 9], [6, 6], [10], [6, 6], [5, 9], [10], [10], [9], [6, 10], [8, 8], [9], [8, 8]]
[[8, 8], [8, 8], [10], [9], [10], [9], [8, 8], [6, 6], [8, 8], [10], [10], [10], [], [9], [6, 6], [7], [9], [10], [8, 8], [6, 9], [6, 9], [6, 9], [5, 5]]
[[5, 8], [10], [6, 8], [7], [6, 8], [6, 8], [10], [6, 8], [9], [10], [10], [9], [9], [8], [10], [9], [6, 8], [9], [8], [10], [9], [6, 8], [6, 8], [5, 9]]
[[5, 8], [9], [6, 8], [9], [10], [9], [10], [6, 8], [6, 8], [9], [8], [10], [6, 6], [8], [10], [9], [10], [6, 8], [8], [8], [10], [7], [9], [6, 8], [5, 9]]
[[5, 9], [8], [6, 8], [9], [10], [8], [7], [10], [9], [10], [8], [6, 6], [6, 6], [8], [9], [10], [10], [6, 8], [9], [8], [9], [8], [9], [10], [5, 8], [6, 8]]
[[9], [5, 8], [6, 7], [9], [5, 8], [8], [6, 6], [8], [10], [8], [8], [10], [8], [9], [9], [8], [6, 6], [9], [10], [10], [8], [10], [8], [6, 6], [9], [10], [9]]
[[5, 8], [8], [9], [8], [8], [6], [6, 6], [9], [10], [6, 6], [9], [9], [8], [10], [9], [9], [10], [8], [7], [8], [10], [10], [8], [6, 6], [10], [8], [9], [5, 8]]
[[5, 8], [5, 8], [9], [], [8], [8], [8], [8], [9], [10], [9], [10], [6, 7], [10], [9], [6, 6], [6, 6], [9], [9], [6, 6], [8], [10], [8], [8], [8], [9], [10], [], [10]]
[[8], [5, 5], [9], [8], [8], [8], [8], [7], [10], [10], [10], [8], [6], [10], [10], [8], [9], [9], [6, 6], [6, 6], [9], [8], [9], [], [9], [9], [6, 6], [8], [10], [8]]
[[8], [5, 5], [8], [8], [8], [8], [9], [9], [6], [6, 6], [9], [8], [6, 6], [10], [], [7], [9], [8], [10], [6, 6], [10], [9], [8], [9], [8], [10], [10], [8], [9], [10], []]
[[10], [8], [8], [8], [8], [5, 5], [9], [9], [6, 6], [10], [6, 6], [6], [9], [8], [], [], [9], [10], [], [8], [10], [6, 6], [9], [10], [8], [8], [8], [8], [10], [7], [9], [9]]
[[8], [6], [8], [8], [8], [8], [8], [10], [9], [6], [], [7], [8], [9], [10], [9], [10], [10], [8], [9], [9], [8], [10], [9], [9], [10], [6], [6], [6], [6], [8], [6], [5, 5]]
-EndAllocation

Instance: [[1], [261], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [174, 116, 88, 70, 58, 50, 44, 38, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12, 12, 12, 12, 10], Opt: [131, 87, 66, 53, 44, 38, 33, 29, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [4, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [4, 7, 7, 7, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [4, 7, 7, 7, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10], [4, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10, 10]]
[[7, 7, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 6, 7], [9, 9, 9, 9, 9, 9], [10, 10], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8]]
[[7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [8], [4, 9, 10]]
[[10, 10, 10, 10], [10, 10], [7, 7, 7], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [4, 9, 9]]
[[4, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7], [6, 9, 9]]
[[4, 9, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10], [6, 6, 6, 6, 6, 6], [7, 7, 7, 9], [8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [6]]
[[4, 6, 6, 8, 8], [], [10, 10, 10], [7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [], [8, 8, 8, 8], [10, 10, 10]]
[[4, 8, 8, 8], [8, 8, 8], [], [9, 10, 10], [6, 6, 6, 6], [9, 9, 9], [7, 7, 7], [9, 10, 10], [6, 6, 6], [9, 10, 10], [8], [8, 8, 8]]
[[4, 8, 10], [8, 8, 8], [], [9, 9, 9], [10, 10], [6, 6, 6, 10], [9, 9, 9], [7, 7, 7], [], [8, 8, 8], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [6, 6, 9], [9, 9], [10, 10], [10, 10], [9, 9], [9, 10], [10], [], [6, 8, 8], [7, 7, 7], [4, 8, 8]]
[[6, 6, 8], [8, 8, 8], [10, 10], [], [9, 9], [10, 10], [7, 7, 7], [6, 6, 6, 6], [], [], [8, 8, 8], [10, 10], [4, 9, 9], [6, 9, 9], [8, 8, 8]]
[[4, 6, 6, 6], [8, 8], [8, 8], [8, 8], [], [10, 10], [7, 7, 7], [9, 9], [6, 6, 6], [8, 8], [], [9, 9], [10, 10], [9, 9], [10, 10], [6, 8, 8]]
[[6, 8], [8], [9, 9], [9, 9], [10, 10], [10, 10], [7, 7, 7], [6, 6, 6], [8, 8], [], [], [9, 9], [8, 8], [6, 6, 6], [8, 8], [10, 10], [4, 8, 8]]
[[8, 8], [8, 8], [6, 6, 6], [6, 7, 7], [8, 8], [], [], [9, 9], [6, 6, 6], [8, 8], [9, 9], [7], [9, 9], [], [10, 10], [10, 10], [10, 10], [4, 8, 8]]
[[4, 6], [8, 8], [8, 8], [6, 6, 6], [9, 9], [10], [], [10], [10], [6, 6, 6], [10], [8, 10], [7, 7], [9, 9], [9, 9], [7], [8, 8], [8, 10], [8, 8]]
[[8, 8], [8, 8], [4, 6], [6, 6, 6], [8, 8], [10], [10], [7, 7], [10], [10], [8, 8], [], [9, 9], [9, 9], [9, 9], [10], [], [6, 6, 6], [8, 8], [7, 10]]
[[8, 8], [8, 8], [7, 7], [6, 10], [7, 10], [9], [9], [10], [9], [9], [10], [6, 6], [6, 6], [10], [4, 10], [8, 8], [9], [9], [6, 6], [8, 8], [8, 8]]
[[6, 6], [8, 8], [8, 8], [10], [9], [6, 6], [9], [9], [6, 10], [8, 8], [7, 7], [7, 9], [], [6, 6], [10], [10], [9], [8, 8], [10], [9], [4, 10], [8, 8]]
[[6, 6], [8, 8], [10], [9], [], [9], [8, 8], [6, 6], [9], [9], [10], [4, 7], [8, 8], [10], [7, 7], [9], [8, 8], [10], [10], [8, 8], [6, 9], [6, 6], [10]]
[[6, 7], [6, 8], [6, 8], [10], [4, 9], [8], [10], [10], [6, 8], [9], [6, 8], [8], [9], [10], [8], [7, 7], [8], [10], [9], [10], [9], [9], [6, 8], [6, 8]]
[[6, 8], [6, 8], [6, 8], [9], [6, 8], [10], [7, 7], [7], [6, 6], [10], [8], [9], [8], [9], [10], [9], [10], [8], [8], [9], [4, 8], [10], [10], [9], [6, 8]]
[[6, 8], [7, 7], [10], [6, 6], [10], [9], [6, 8], [9], [8], [4, 8], [9], [6, 6], [8], [8], [9], [10], [8], [10], [7], [9], [8], [10], [8], [10], [6, 8], [9]]
[[8], [8], [8], [8], [8], [4, 9], [8], [10], [10], [8], [9], [6, 6], [10], [6, 7], [8], [9], [9], [6, 7], [6, 7], [9], [9], [6, 6], [10], [8], [10], [10], [8]]
[[10], [6, 6], [8], [8], [8], [8], [6, 6], [8], [10], [9], [10], [6], [8], [6, 7], [8], [8], [8], [9], [10], [6, 7], [7], [9], [8], [10], [10], [9], [9], [4, 9]]
[[8], [4, 8], [7], [8], [8], [8], [8], [7], [10], [9], [6, 6], [6, 6], [6], [9], [9], [7], [8], [10], [9], [6, 6], [9], [10], [10], [10], [9], [8], [8], [10], [8]]
[[8], [8], [4, 8], [6, 6], [8], [7], [6], [9], [8], [10], [10], [10], [10], [10], [10], [8], [9], [9], [6, 6], [7], [8], [8], [9], [9], [8], [7], [6, 6], [9], [], [8]]
[[8], [6, 6], [8], [8], [8], [8], [10], [8], [6, 6], [7], [6], [9], [], [7], [10], [9], [6, 6], [8], [], [7], [9], [9], [4, 8], [10], [10], [9], [10], [8], [9], [10], [8]]
[[6, 6], [8], [8], [8], [7], [8], [6, 6], [10], [10], [6], [6, 6], [7], [], [8], [8], [], [8], [10], [9], [9], [], [8], [8], [10], [9], [4, 7], [10], [9], [10], [9], [9], [8]]
[[6], [8], [8], [6], [], [8], [8], [10], [7], [6], [8], [4, 6], [6], [9], [10], [9], [10], [10], [8], [9], [9], [7], [9], [9], [10], [8], [10], [6], [8], [6], [8], [7], [8]]
-EndAllocation

Instance: [[1], [260], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [173, 116, 86, 69, 58, 50, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [130, 87, 65, 52, 44, 38, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[5, 5, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7]]
[[5, 5, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 8], [6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8], [8, 8, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [6, 6, 6, 6, 6, 9, 9], [5, 5, 9, 9, 9, 9]]
[[5, 5, 10, 10, 10], [], [6, 6, 6, 6, 6, 10], [8, 8, 8, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9], [7]]
[[8, 8, 8, 8], [10, 10, 10], [5, 9, 9, 9], [5, 9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8, 8], [], [10, 10, 10], [7, 7]]
[[8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [], [], [6, 6, 6, 6, 6], [5, 5, 7, 7]]
[[8, 8, 8], [8, 8], [8, 8, 8], [9, 9, 9], [10, 10], [9, 9, 9], [], [6, 6, 6, 6], [10, 10], [7, 10, 10], [7, 7, 7, 7], [5, 5, 6, 7]]
[[5, 5, 6, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [8, 9, 9], [9, 9], [10, 10], [7, 7, 7], [8, 8, 8], [7, 7, 7], [10, 10]]
[[10, 10], [7, 8, 8], [8, 8, 8], [5, 5], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [], [9, 9], [10, 10], [6, 7, 7]]
[[5, 5], [7, 7, 7], [10, 10], [10], [9, 9], [9, 9], [8, 8, 8], [6, 6, 6, 6], [], [8, 8, 8], [8, 8], [10, 10], [9, 9], [6, 10], [7, 7, 7]]
[[8, 8], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [7, 7, 7], [9, 9], [6, 6, 6], [8, 8], [], [], [5, 5, 10], [6, 6, 10], [9, 9], [7, 7, 7]]
[[5, 8, 8], [5, 8, 8], [8, 8], [8, 8], [7, 7, 7], [10, 10], [7, 7, 7], [6, 6, 6], [], [], [], [9, 9], [9, 9], [6, 6], [10, 10], [10, 10], [9, 9]]
[[8, 8], [8, 8], [5, 5], [7, 7], [8, 8], [], [], [9, 9], [6, 6, 6], [7, 7], [7, 7], [9, 9], [10, 10], [6, 6], [10, 10], [10, 10], [9, 9], [8, 8]]
[[5, 5, 8], [10], [8, 8], [6, 6], [9, 9], [7, 7], [], [10], [10], [6, 6, 6], [8, 8], [9], [7, 7], [9, 9], [10], [7, 10], [7, 10], [8, 8], [8, 9]]
[[8, 8], [8, 8], [5, 10], [6, 6], [9], [5, 10], [7, 10], [6, 6], [6, 10], [10], [9], [10], [7, 7], [9], [9], [9], [7, 9], [7, 7], [8, 8], [8, 8]]
[[6, 6], [8, 8], [5, 10], [6, 9], [10], [9], [5, 10], [10], [9], [10], [10], [9], [7, 7], [], [7, 7], [8, 8], [7, 9], [7, 9], [6, 6], [8, 8], [8, 8]]
[[7, 9], [8, 8], [8, 8], [10], [10], [6, 6], [9], [9], [10], [], [7, 7], [7, 9], [], [6, 6], [5, 10], [7, 7], [6, 10], [10], [9], [5, 9], [8, 8], [8, 8]]
[[7, 7], [5, 5], [7, 9], [10], [10], [10], [8, 8], [6, 6], [9], [], [6, 10], [], [9], [10], [7, 7], [8, 8], [8, 8], [7, 9], [9], [10], [9], [6, 6], [8, 8]]
[[10], [9], [5, 9], [6, 8], [9], [5, 8], [6, 8], [8], [10], [7, 7], [6, 8], [8], [9], [10], [6, 6], [8], [9], [10], [9], [10], [8], [7, 7], [7, 7], [10]]
[[5, 8], [9], [10], [6, 8], [7, 7], [9], [10], [8], [9], [10], [8], [10], [6, 6], [7, 7], [8], [8], [8], [6, 6], [10], [9], [9], [10], [8], [5, 9], [7, 7]]
[[5, 8], [9], [9], [9], [10], [10], [8], [6, 7], [9], [10], [6, 7], [6, 7], [10], [5, 7], [6, 7], [8], [8], [8], [8], [10], [8], [10], [9], [9], [8], [6, 7]]
[[6, 7], [9], [5, 7], [9], [6, 7], [6, 7], [10], [8], [8], [10], [8], [10], [9], [10], [9], [8], [6, 6], [8], [9], [7], [8], [10], [5, 8], [7], [9], [10], [8]]
[[5, 8], [9], [7], [7], [6, 6], [8], [10], [6, 6], [10], [8], [10], [8], [9], [9], [10], [9], [7], [9], [6, 7], [7], [8], [10], [8], [9], [10], [7], [8], [5, 8]]
[[8], [7], [8], [8], [8], [8], [5, 6], [8], [10], [10], [9], [10], [8], [9], [9], [7], [6, 6], [10], [9], [9], [6, 6], [10], [10], [9], [7], [7], [8], [7], [5, 7]]
[[8], [8], [8], [5, 7], [8], [10], [7], [8], [7], [10], [10], [], [9], [10], [5, 7], [8], [9], [8], [6, 6], [7], [9], [8], [6], [9], [9], [9], [6, 6], [10], [10], [7]]
[[8], [6, 6], [7], [8], [8], [7], [8], [10], [7], [8], [6], [10], [], [8], [6, 6], [9], [7], [9], [7], [5, 5], [9], [9], [8], [9], [10], [10], [10], [7], [9], [10], [8]]
[[7], [7], [7], [7], [7], [8], [6, 6], [9], [6, 6], [8], [8], [8], [8], [5, 5], [], [], [9], [10], [6], [10], [9], [7], [8], [10], [9], [10], [10], [9], [10], [8], [9], [8]]
[[8], [8], [8], [8], [10], [6], [7], [10], [7], [6], [], [5, 5], [6], [9], [7], [7], [10], [10], [8], [9], [9], [7], [10], [9], [10], [7], [6], [6], [9], [8], [8], [9], [8]]
-EndAllocation

Instance: [[1], [259], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [173, 116, 86, 69, 58, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [130, 87, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 6, 6, 6, 6, 7], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8, 8], [6, 6, 6, 6, 9, 9, 9]]
[[4, 5, 5, 6, 6, 6, 6, 10], [7, 7, 7, 7, 9, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [6, 6, 6, 6, 9, 9, 9], [10, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [5, 5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [], [8, 8, 8, 8, 8, 8], [9, 9, 9, 10]]
[[4, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 10, 10], [5, 5, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 8, 8], [10, 10, 10, 10], [9, 9, 9]]
[[4, 8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 7, 7, 7, 7], [], [10, 10, 10], [6, 6, 6, 6, 10], [9, 9, 9], [10, 10, 10]]
[[4, 5, 5], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [4], [8, 8, 8, 8], [], [6, 6, 6, 6], [5, 5, 10]]
[[4, 8, 8, 8], [8, 8, 8], [8, 8, 8], [9, 9, 9], [8, 10, 10], [5, 5, 8, 8], [10, 10], [7, 7, 7, 7], [], [6, 6, 6, 6], [10], [10, 10]]
[[4, 8, 8], [8, 8, 8], [10, 10], [10, 10], [8, 8, 8], [9, 9], [8, 8, 9], [6, 6, 6, 6], [7, 10], [], [7, 7, 7], [10, 10], [5, 5, 8, 8]]
[[8, 8, 8], [8, 8, 8], [9, 9], [7, 7, 7], [5, 5], [9], [8, 8, 8], [6, 6, 6, 6], [10, 10], [7, 10], [], [10, 10], [4, 10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [10, 10], [4, 5, 5], [9], [7, 10], [9, 9], [6, 6, 6, 6], [], [8, 8, 8], [], [10, 10], [7, 7, 7], [10, 10], [8, 8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [9], [8, 8], [10, 10], [5, 5, 7], [9, 9], [6, 6, 6], [8, 8], [], [7, 7, 7], [10, 10], [6, 10], [10, 10], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [8, 8], [10, 10], [10, 10], [6, 7], [10, 10], [8, 8], [10], [], [9], [9, 9], [7, 7, 7], [5, 5], [6, 6, 6], [8, 8]]
[[4, 8, 8], [8, 8], [10, 10], [7, 7], [8, 8], [8, 8], [5, 5], [9], [8, 8], [6, 6, 6], [7, 7], [6], [9, 9], [], [10], [10, 10], [10, 10], [8, 8]]
[[6, 10], [8, 8], [8, 8], [6, 6, 6], [9], [], [8, 10], [8, 8], [10], [7, 7], [10], [10], [8, 8], [4, 10], [9, 9], [7, 10], [8, 8], [7, 8], [5, 5]]
[[4, 5, 8], [8, 8], [], [7, 7], [5, 9], [10], [6, 10], [6, 6], [7, 10], [10], [8, 9], [10], [10], [6, 10], [8, 8], [], [7, 9], [8, 8], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 7], [8, 8], [7, 10], [10], [4, 10], [], [9], [10], [10], [], [6, 6], [9], [5, 5], [8, 8], [6, 9], [7, 10], [6, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [9], [9], [6, 6], [10], [9], [10], [8, 8], [7, 7], [7, 7], [8, 8], [6, 6], [10], [10], [10], [], [5, 5], [10], [4, 10], [8, 8]]
[[8, 8], [5, 5], [10], [10], [10], [10], [8, 8], [6, 6], [9], [7, 7], [10], [4, 10], [], [], [9], [7, 7], [8, 8], [9], [8, 8], [8, 8], [10], [6, 6], [8, 8]]
[[4, 10], [8], [9], [5, 8], [8], [6, 8], [8], [8], [10], [7, 7], [6, 8], [8], [9], [5, 8], [6, 8], [10], [10], [10], [8], [10], [9], [10], [7, 7], [6, 8]]
[[4, 8], [5, 8], [6, 8], [7, 7], [10], [8], [9], [5, 9], [10], [10], [8], [8], [8], [8], [9], [8], [10], [6, 6], [8], [10], [7, 7], [8], [10], [10], [6, 8]]
[[4, 8], [9], [8], [10], [8], [9], [10], [5, 8], [8], [8], [10], [6, 7], [10], [10], [8], [9], [10], [10], [8], [6, 7], [8], [5, 8], [8], [8], [6, 7], [6, 7]]
[[4, 8], [6, 6], [10], [5, 8], [8], [8], [10], [8], [6, 7], [8], [5, 8], [10], [8], [9], [10], [9], [8], [8], [9], [7], [10], [10], [8], [6, 7], [7], [10], [8]]
[[6, 7], [9], [8], [8], [7], [8], [6, 6], [8], [8], [8], [10], [8], [8], [8], [10], [10], [5, 5], [9], [6, 7], [7], [10], [10], [4, 8], [10], [10], [9], [8], [8]]
[[4, 8], [6, 6], [8], [8], [8], [8], [10], [8], [5, 7], [10], [10], [7], [8], [8], [9], [8], [8], [10], [7], [9], [6, 6], [10], [10], [9], [7], [10], [8], [5], [8]]
[[4, 8], [8], [7], [8], [8], [8], [8], [10], [7], [8], [6, 6], [8], [8], [], [10], [10], [8], [7], [5, 5], [6, 6], [8], [10], [9], [10], [9], [10], [10], [9], [7], [8]]
[[4, 8], [6, 6], [8], [8], [8], [8], [6, 6], [10], [8], [10], [10], [10], [8], [8], [7], [], [8], [9], [8], [5, 5], [], [9], [8], [10], [10], [8], [10], [7], [9], [7], [7]]
[[10], [8], [7], [7], [8], [8], [6, 6], [9], [6, 6], [8], [8], [8], [9], [7], [], [], [9], [8], [7], [10], [8], [8], [10], [8], [], [10], [10], [5, 5], [10], [8], [10], [4, 8]]
[[4, 6], [8], [8], [8], [8], [8], [8], [], [9], [8], [6], [7], [8], [9], [10], [7], [10], [7], [10], [7], [10], [], [8], [10], [10], [9], [6], [8], [6], [5, 5], [8], [10], [8]]
-EndAllocation

Instance: [[1], [258], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10]]
[[5, 5, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9]]
[[10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [5, 5, 7, 7, 7, 7, 10], [8, 8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10]]
[[8, 8, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9]]
[[8, 8, 8, 10], [], [6, 6, 6, 6, 6, 6, 6], [5, 5, 9, 9, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9]]
[[8, 8, 8, 8], [5, 5], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [9], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 9], [6, 10, 10, 10]]
[[6, 9, 9, 9], [10, 10, 10], [5, 7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [5, 6]]
[[5, 8, 8, 8], [6, 6], [], [9, 9, 9], [7, 7, 7, 7], [9, 9, 9], [5, 8], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10]]
[[9, 9, 9], [6, 10, 10], [8, 8, 8], [6, 10, 10], [10, 10], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [], [5, 5], [7, 7, 7, 7], [6, 8, 8]]
[[8, 8], [8, 8, 8], [5, 6, 6, 6], [9, 9], [10, 10], [7], [9, 9], [7, 7, 7], [10, 10], [8, 8, 8], [6, 6, 6, 6], [10, 10], [5, 9, 9]]
[[5, 10, 10], [8, 8, 8], [7, 7, 7], [], [10, 10], [7], [8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10], [9, 9], [5, 8, 8], [6, 6, 6]]
[[7, 8, 8], [6, 6, 6, 6], [10, 10], [5, 5], [9, 9], [10, 10], [9, 9], [7, 7, 7], [], [8, 8, 8], [8], [10, 10], [9, 9], [6, 6, 6], [8, 8]]
[[7, 7, 7], [], [8, 8], [9, 9], [8, 8], [10, 10], [6, 6, 7], [9, 9], [6, 6, 6], [8, 8], [], [10, 10], [5, 5, 6, 6], [10, 10], [9, 9], [8, 8]]
[[5, 5, 6], [8, 8], [6, 6, 6], [8, 8], [7], [10, 10], [], [10, 10], [7, 7, 7], [9, 9], [], [9, 9], [9, 9], [6, 6, 6], [8, 8], [10, 10], [8, 8]]
[[5, 5, 6], [8, 8], [10, 10], [7, 7], [8, 8], [], [], [9, 9], [8, 8], [6, 6, 6], [7, 7], [6, 6, 6], [9, 9], [], [9, 9], [10, 10], [10, 10], [8, 8]]
[[10], [8, 8], [10], [9, 9], [], [10], [10], [6, 6, 6], [9, 9], [6, 6, 6], [8, 8], [7, 7], [8, 8], [5, 6], [9, 9], [7, 7], [5, 10], [10], [8, 8]]
[[5, 5, 6], [8, 8], [10], [6, 6], [6, 10], [7, 7], [8, 9], [6, 6], [8, 9], [9], [7, 7], [9], [10], [10], [9], [9], [8, 8], [10], [8, 8], [6, 10]]
[[8, 8], [5, 5, 6], [6, 9], [6, 10], [7, 7], [10], [], [9], [9], [9], [10], [10], [6, 6], [10], [7, 7], [8, 8], [9], [6, 10], [6, 9], [8, 8], [8, 8]]
[[9], [5, 5], [8, 8], [10], [10], [6, 6], [7, 9], [], [10], [6, 9], [6, 6], [10], [10], [7, 7], [9], [6, 6], [8, 8], [8, 8], [7, 9], [9], [10], [8, 8]]
[[5, 5, 6], [6, 6], [10], [10], [8, 8], [10], [8, 8], [7, 7], [9], [9], [10], [], [9], [10], [7, 7], [8, 8], [6, 6], [9], [9], [9], [10], [6, 6], [8, 8]]
[[6, 8], [10], [8], [9], [9], [10], [10], [5, 9], [9], [6, 6], [7, 7], [7, 7], [10], [5, 8], [8], [10], [6, 8], [8], [10], [9], [8], [6, 6], [9], [6, 8]]
[[10], [5, 8], [5, 8], [8], [9], [6, 8], [10], [9], [10], [8], [8], [6, 8], [7, 7], [7, 7], [9], [8], [10], [6, 6], [10], [9], [9], [9], [10], [6], [6, 6]]
[[9], [6, 7], [9], [8], [5, 8], [8], [9], [8], [7], [10], [6, 7], [9], [10], [6, 6], [9], [10], [8], [10], [9], [10], [8], [8], [6, 6], [5, 8], [10], [6, 7]]
[[10], [9], [8], [8], [5, 7], [9], [10], [8], [6, 6], [7], [9], [10], [7], [10], [5, 8], [8], [6, 6], [6, 7], [9], [9], [8], [8], [8], [10], [6, 6], [10], [9]]
[[6, 6], [8], [8], [8], [8], [8], [6, 6], [9], [6, 6], [6, 7], [10], [8], [9], [7], [10], [9], [5, 7], [9], [], [7], [9], [10], [10], [10], [8], [9], [10], [5, 8]]
[[8], [8], [7], [8], [8], [6, 6], [9], [6], [10], [10], [5, 7], [10], [9], [10], [10], [6, 6], [], [8], [9], [6, 6], [8], [9], [10], [9], [8], [9], [5, 7], [7], [8]]
[[7], [8], [7], [10], [8], [8], [6, 6], [6], [9], [8], [6, 6], [], [], [8], [10], [10], [8], [9], [10], [6, 6], [8], [5, 7], [9], [10], [9], [10], [8], [9], [9], [5, 7]]
[[9], [8], [8], [9], [8], [6, 6], [6], [6, 6], [8], [], [7], [10], [], [7], [10], [9], [6, 6], [8], [7], [5, 5], [9], [9], [8], [8], [10], [10], [10], [8], [9], [10], [7]]
[[6, 6], [8], [7], [7], [10], [6], [6, 6], [9], [6, 6], [8], [], [8], [], [8], [5, 5], [10], [9], [8], [], [7], [8], [8], [10], [8], [9], [10], [10], [9], [10], [9], [9], [7]]
[[9], [6], [6], [8], [8], [7], [8], [9], [8], [6], [7], [6], [10], [9], [7], [6], [], [9], [10], [6], [8], [8], [10], [9], [10], [7], [5, 5], [8], [10], [6], [10], [9], [8]]
-EndAllocation

Instance: [[1], [257], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,33. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7]]
[[4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8], [10, 10, 10, 10, 10, 10]]
[[5, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 6, 6, 6, 6, 8], [9, 9, 9, 9, 9, 9, 9]]
[[5], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [7, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 6, 6, 6, 6, 9, 10]]
[[5, 8, 8, 8, 8, 9], [8, 8, 8, 8, 8, 9], [9, 10, 10, 10, 10], [7, 7, 7, 9], [9, 10, 10], [4, 4, 4, 6, 6, 6, 6, 9], [9]]
[[5, 8, 8, 10, 10], [8, 8], [4, 4, 4, 6, 6, 6, 6, 8], [9, 9, 9], [8, 8], [7, 7, 7, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9]]
[[5, 8, 8, 8, 8], [6, 6, 6, 6, 8], [10, 10, 10], [9, 9, 9, 10], [9, 9, 9, 9], [], [8, 8, 8, 8], [7, 7, 7], [4, 4, 4, 10, 10]]
[[5, 9, 9, 9], [10, 10, 10], [7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6], [4, 4, 4], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [8, 9]]
[[5, 8, 8, 8], [4, 4, 4, 8, 8], [], [9], [7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 8], [10, 10, 10]]
[[5, 8, 8, 8], [9, 9, 9], [4, 8, 8, 8], [9, 10, 10], [10, 10], [9, 9, 10], [6, 6, 6, 6], [8, 8, 8], [], [], [7, 7, 7], [4, 4, 9, 10]]
[[8, 8, 8], [8, 8, 8], [5, 9], [9, 9], [10, 10], [4, 4, 4], [9, 9], [7, 7, 7], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[5, 10, 10], [8, 8, 8], [7, 7, 7], [10, 10], [10, 10], [], [8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [4, 4, 4, 9], [], [9, 9], [8, 8, 8]]
[[8, 8, 8], [6, 6, 6, 6], [10, 10], [], [9, 9], [10, 10], [9, 9], [7, 7, 7], [], [8, 8, 8], [9], [10, 10], [9, 9], [4, 4, 4, 5], [8, 8, 8]]
[[5, 8, 8], [8, 8], [4, 8, 8], [4, 9, 9], [], [10, 10], [7, 7, 7], [9, 9], [6, 6, 9], [8, 8], [], [10, 10], [6, 6], [4, 9, 9], [10, 10], [8]]
[[5, 8, 8], [8, 8], [6, 9], [8, 8], [8, 10], [10, 10], [10], [10, 10], [7, 7, 7], [9, 9], [4, 4, 4], [9, 9], [9, 9], [], [], [6, 6, 6], [8, 8]]
[[9, 9], [8, 8], [10, 10], [5, 7], [8, 8], [], [4, 4, 4], [], [8, 8], [6, 6, 6], [7, 7], [6, 8], [9, 9], [9], [9, 9], [10, 10], [10, 10], [8, 8]]
[[7, 10], [8, 8], [8, 8], [5, 10], [], [], [10], [6, 10], [9, 9], [6, 6, 6], [8, 8], [4, 4, 4], [8, 10], [9, 9], [9, 9], [7, 7], [9], [10], [8, 8]]
[[10], [8, 9], [4, 4, 8], [4, 6, 6], [10], [5, 10], [6, 6], [8, 9], [8, 9], [7, 8], [7, 7], [10], [10], [8, 9], [10], [8, 9], [9], [], [8, 9], [8]]
[[8, 9], [8, 8], [5, 10], [9], [7, 7], [10], [9], [9], [9], [4, 4, 4], [10], [10], [6, 6], [10], [9], [8, 8], [7, 9], [10], [6, 6], [8, 8], [8, 8]]
[[5, 9], [4, 4, 4], [8, 8], [10], [10], [6, 6], [9], [], [10], [7, 9], [6, 8], [10], [9], [7, 7], [9], [10], [8, 8], [8, 8], [9], [9], [6, 10], [8, 8]]
[[4, 4, 8], [8, 8], [5, 10], [4, 9], [8, 8], [6, 9], [8, 8], [7], [9], [], [10], [], [9], [10], [7, 7], [6, 10], [10], [9], [10], [9], [9], [6, 6], [8, 8]]
[[5, 9], [4, 8], [10], [6, 8], [6, 8], [8], [10], [6, 8], [9], [6, 7], [9], [7, 7], [9], [9], [10], [9], [9], [8], [10], [10], [8], [8], [4, 10], [4, 8]]
[[4, 4, 4], [6, 8], [6, 8], [6, 8], [5, 9], [9], [8], [9], [8], [9], [8], [8], [7, 7], [8], [10], [6, 7], [8], [10], [10], [10], [10], [9], [9], [10], [9]]
[[4, 9], [5, 8], [4, 8], [10], [8], [8], [10], [9], [6, 6], [10], [6, 7], [7], [4, 8], [8], [9], [10], [9], [8], [10], [8], [9], [8], [9], [9], [10], [6, 7]]
[[4, 9], [10], [10], [4, 8], [6, 7], [7], [8], [8], [9], [10], [8], [9], [10], [9], [9], [9], [6, 6], [7], [10], [9], [8], [8], [8], [8], [4, 6], [10], [5, 8]]
[[6, 6], [4, 9], [9], [6, 7], [8], [8], [10], [8], [8], [8], [9], [6, 7], [4, 8], [10], [10], [9], [4, 9], [10], [10], [9], [8], [8], [8], [10], [7], [], [9], [5]]
[[4, 7], [4, 8], [5], [8], [7], [9], [9], [8], [4, 8], [10], [8], [10], [9], [10], [10], [6, 6], [], [8], [9], [6, 6], [8], [10], [10], [9], [7], [9], [8], [9], [8]]
[[7], [8], [10], [7], [8], [9], [8], [8], [9], [], [10], [8], [9], [4, 4, 4], [10], [10], [8], [8], [7], [6, 6], [8], [9], [9], [10], [9], [10], [9], [5], [6, 6], [8]]
[[5], [7], [8], [8], [8], [8], [8], [6, 6], [8], [], [9], [10], [4, 4, 4], [10], [10], [9], [6, 6], [8], [9], [], [9], [9], [8], [9], [10], [9], [10], [7], [7], [10], [8]]
[[8], [8], [7], [7], [8], [10], [6, 6], [9], [6, 6], [10], [4, 4, 4], [8], [9], [8], [9], [8], [9], [10], [8], [], [], [8], [], [7], [9], [10], [10], [9], [10], [8], [9], [5]]
[[9], [5], [8], [], [], [8], [9], [6], [10], [8], [4, 6], [9], [8], [10], [8], [8], [10], [10], [10], [8], [9], [9], [8], [8], [9], [7], [7], [9], [6], [4, 4], [10], [7], [6]]
-EndAllocation

Instance: [[1], [272], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 7, 7, 7, 7, 10, 10, 10], [4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 10, 10, 10, 10, 10], [6, 6, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7], [4, 5, 5, 5, 5, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [6, 6, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10], [4, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8], [5, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 10, 10, 10, 10], [], [4, 5, 6, 6, 7, 7, 7, 7], [5, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10], [9, 10], [9, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8], [6, 6], [7, 7, 7, 7], [4, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 7, 10], [6, 6, 9, 9], [8, 8, 8], [], [10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10]]
[[5, 8, 8, 8, 8], [8, 9, 10], [7, 7, 7, 7], [9, 10, 10], [], [10, 10, 10], [5, 5, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [4, 5, 6, 6]]
[[8, 8, 8, 8], [4, 5, 9, 10], [6, 7, 10, 10], [10, 10, 10], [], [9, 9, 9], [], [5, 5, 5, 9, 9], [10, 10, 10], [6, 7, 7, 7], [8, 8, 8, 8]]
[[4, 8, 8], [10], [9, 9, 9], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [6, 8, 8, 8], [], [10, 10, 10], [5, 5, 5, 5], [6, 10, 10], [8, 8, 8]]
[[4, 6, 10], [], [8, 8], [5, 5, 5, 5, 6], [10, 10], [7, 7, 7, 7], [10, 10], [10, 10], [9, 9, 9], [8, 8, 8], [9, 9, 9], [10, 10], [8, 8, 8]]
[[8, 8], [8, 8, 8], [7, 9, 9], [4, 5, 6, 9], [9, 10], [8, 8, 8], [10, 10], [7, 7, 7], [], [10, 10], [10, 10], [10, 10], [9, 9], [5, 5, 5, 6]]
[[8, 8, 8], [4, 5, 7, 9], [10, 10], [10, 10], [6, 9, 10], [8, 8], [], [9, 9], [10, 10], [], [9, 9], [10, 10], [7, 7, 7], [5, 5, 5, 6], [8, 8, 8]]
[[8, 10], [4, 5, 5, 7], [8, 10], [8, 10], [9, 9], [8, 10], [7, 8], [7, 9], [6, 6, 10], [7, 9], [9, 10], [9, 10], [10], [8, 8], [10], [5, 5, 8]]
[[4, 8, 8], [8, 8], [8, 8], [8, 8], [7, 10], [10, 10], [9, 9], [9, 9], [7, 7, 7], [10, 10], [10, 10], [], [9, 9], [], [10, 10], [6, 6], [5, 5, 5, 5]]
[[4, 8, 8], [5, 8, 8], [10, 10], [7, 7, 7], [5, 7], [], [10], [9, 9], [10, 10], [], [10, 10], [], [9, 9], [9, 9], [10, 10], [5, 8, 8], [6, 6], [5, 8, 8]]
[[9, 9], [8, 9], [8, 10], [6, 6, 8], [4, 8], [], [10, 10], [7, 7], [], [10, 10], [9, 9], [7, 7], [5, 5, 8], [10, 10], [5, 5, 9], [10, 10], [8], [8], [8]]
[[8, 8], [5, 9], [6, 10], [7, 7], [5, 10], [5, 10], [7, 7], [6, 10], [10], [4, 10], [8, 10], [], [], [10], [8, 8], [5, 10], [9, 9], [9, 9], [8, 9], [8, 8]]
[[5, 10], [8, 8], [8, 8], [7, 9], [8, 8], [5, 10], [5, 10], [10], [10], [9], [9], [6, 10], [7, 9], [9], [7, 7], [8, 8], [9], [5, 10], [6, 10], [4, 10], []]
[[8, 8], [8, 8], [4, 9], [5, 9], [5, 9], [7, 10], [5, 9], [5, 10], [7, 9], [6, 6], [7, 10], [10], [8, 8], [10], [7, 10], [10], [], [9], [10], [10], [], [8, 8]]
[[4, 10], [10], [8, 8], [10], [7, 9], [10], [8, 8], [10], [5, 10], [5, 9], [8, 8], [10], [9], [], [5], [7, 7], [5, 9], [8, 8], [9], [10], [7, 9], [6, 6], [10]]
[[8, 8], [5, 9], [10], [9], [10], [10], [10], [7, 7], [8, 8], [10], [10], [10], [], [9], [10], [4, 10], [6, 6], [9], [9], [5, 5, 5], [8, 8], [9], [7, 7], [8, 8]]
[[4, 9], [5, 9], [5, 9], [5, 8], [10], [7, 7], [6, 8], [10], [5, 8], [8], [10], [10], [10], [8], [9], [6, 8], [10], [8], [10], [7, 7], [9], [9], [8], [10], [10]]
[[4, 10], [9], [9], [10], [10], [5, 8], [5, 8], [8], [7, 7], [5, 9], [6, 8], [10], [8], [5, 9], [10], [10], [], [9], [6, 8], [10], [8], [10], [10], [9], [8], [7, 7]]
[[8], [5, 8], [5, 8], [9], [10], [9], [8], [6, 6], [10], [10], [10], [10], [4, 10], [8], [], [7, 7], [5, 9], [9], [10], [7, 7], [8], [8], [8], [9], [10], [10], [5, 9]]
[[9], [4, 8], [10], [6, 7], [10], [5, 7], [6, 7], [10], [5, 8], [8], [9], [8], [9], [10], [8], [10], [10], [10], [8], [8], [10], [10], [7], [9], [9], [5, 5], [9], [8]]
[[4, 7], [10], [5, 8], [5, 8], [10], [10], [10], [10], [8], [7], [10], [10], [9], [10], [8], [8], [8], [10], [9], [6, 6], [9], [9], [9], [8], [7], [5, 8], [], [5, 7], [9]]
[[9], [5, 8], [5, 8], [6, 7], [10], [8], [10], [7], [10], [8], [10], [10], [10], [10], [10], [8], [9], [], [6, 7], [8], [8], [], [9], [5, 8], [7], [9], [9], [9], [10], [4, 5]]
[[5, 7], [8], [8], [8], [10], [10], [8], [5, 7], [10], [6, 6], [], [9], [10], [9], [9], [10], [9], [8], [10], [9], [10], [8], [9], [10], [], [10], [5, 7], [8], [], [5, 7], [4, 8]]
[[5, 7], [8], [], [8], [9], [10], [6, 6], [9], [9], [10], [4, 8], [10], [5, 7], [], [10], [10], [5, 7], [9], [10], [8], [8], [10], [10], [8], [8], [], [8], [5, 7], [], [9], [9], [10]]
[[4, 7], [6], [8], [], [5, 7], [8], [8], [9], [9], [8], [10], [10], [10], [8], [9], [10], [9], [8], [8], [5, 7], [9], [10], [10], [5, 6], [10], [8], [], [10], [], [10], [9], [], [5, 7]]
[[8], [5, 5], [8], [9], [8], [8], [10], [9], [10], [7], [], [7], [], [7], [5, 5], [8], [10], [], [10], [10], [10], [8], [10], [10], [9], [7], [9], [6], [8], [9], [10], [4, 6], [9], [8]]
-EndAllocation

Instance: [[1], [271], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 10], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9]]
[[4, 7, 7, 7, 7, 8, 8], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[4, 9], [9, 9, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 7, 8, 8, 10], [6], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8], [4, 9, 9, 9, 9, 9], [10], [6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 10, 10], [], [6, 6, 6, 6, 6, 6, 7, 7], [9, 9, 9, 9, 9]]
[[10, 10, 10, 10], [4], [9, 9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 8], [7, 7, 7, 7], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [4, 10, 10, 10], [8, 9], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10]]
[[4, 6, 8, 8, 10], [8, 8, 8, 8], [6, 7, 7, 7, 7], [9], [], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 8]]
[[8, 8, 8, 8], [10, 10, 10], [4, 6], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9], [8, 8, 8], [9, 9, 9], [10], [7, 7, 7, 7], [8, 8, 8, 8]]
[[4, 6, 6, 6, 8], [8, 8, 8], [9, 9], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [8], [10, 10, 10], [], [6, 6, 6, 10], [8, 8, 8]]
[[6, 6, 8, 8], [4, 10], [8, 8, 8], [6, 6, 6, 6], [10, 10], [7, 7, 7, 7], [], [10, 10], [9, 9], [8, 8, 8], [9, 9, 9], [10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8], [6, 6, 9], [7, 7], [], [10, 10], [9, 9], [7, 7, 10], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [4, 9, 9], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6], [6, 6, 6], [9, 9], [8, 8], [], [9, 9], [10, 10], [10], [7, 9], [4, 10, 10], [7, 7, 7], [10, 10], [8, 8, 8]]
[[6, 8, 8], [4, 6, 8], [8, 8], [8, 8], [9, 9], [7], [7, 7, 7], [9, 9], [6, 6, 6], [10, 10], [9], [10, 10], [10], [8, 8], [10, 10], [6, 8, 8]]
[[4, 8, 8], [8], [8, 8], [8, 8], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 7], [9], [], [8, 8], [9, 9], [6, 6, 6], [7, 10], [6, 6, 6], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [7, 7, 7], [8, 8], [10, 10], [6, 6, 6], [9], [10], [], [10, 10], [], [9, 9], [9, 9], [10, 10], [7, 8], [6, 6, 6], [8, 8]]
[[9, 9], [4, 8, 8], [6, 6, 8], [6, 6, 6], [], [], [10, 10], [7, 7], [], [10, 10], [9, 9], [8, 8], [7, 7], [10, 10], [9], [6, 10], [8, 8], [8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 7], [7, 10], [9, 9], [8, 10], [10], [6, 6, 6], [10], [10], [9, 9], [10], [10], [], [8, 8], [6, 6, 6], [7, 7], [9], [8, 8], [8, 8]]
[[6, 10], [8, 8], [8, 8], [6, 7], [6, 8], [7], [9], [9], [10], [10], [4, 10], [9], [7, 9], [10], [7, 10], [8, 8], [6, 9], [6, 10], [6], [8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 8], [6, 10], [10], [], [9], [8, 9], [10], [6, 6], [10], [], [9], [9], [7, 7], [6, 6], [6, 10], [7, 10], [8, 8], [8, 9], [7, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 10], [6, 8], [10], [6], [7, 7], [9], [8, 8], [10], [9], [10], [9], [9], [7, 7], [9], [8, 8], [10], [10], [10], [6, 6], [6, 6]]
[[8, 8], [6, 6], [8, 8], [6, 10], [7, 9], [10], [8], [4, 8], [8], [9], [8], [9], [10], [10], [7, 9], [10], [6, 6], [8], [9], [10], [8], [6, 10], [7, 7], [8]]
[[7, 7], [6, 8], [10], [4, 9], [6, 8], [7, 7], [6, 8], [9], [8], [10], [6, 8], [10], [6, 8], [6, 8], [8], [10], [10], [9], [8], [9], [9], [10], [8], [8], [10]]
[[6, 8], [8], [4, 9], [6, 8], [8], [8], [8], [8], [9], [9], [10], [8], [10], [7, 7], [9], [10], [8], [10], [10], [7, 7], [9], [6, 8], [6, 6], [10], [10], [6, 8]]
[[4, 8], [6, 8], [9], [9], [10], [6, 8], [10], [6, 6], [8], [8], [9], [10], [9], [10], [7, 7], [9], [], [7, 7], [6, 8], [8], [10], [10], [8], [8], [8], [10], [6, 8]]
[[6, 7], [9], [6, 7], [4, 8], [10], [8], [6, 6], [10], [10], [6, 7], [9], [9], [10], [10], [8], [8], [9], [8], [8], [8], [6, 7], [10], [8], [10], [8], [8], [9], [8]]
[[8], [4], [8], [8], [8], [10], [9], [8], [10], [10], [9], [10], [6, 7], [10], [9], [8], [8], [10], [9], [10], [6, 7], [6, 6], [6, 7], [9], [6, 7], [8], [8], [8], [8]]
[[4, 8], [8], [8], [8], [7], [8], [], [6, 6], [8], [7], [10], [10], [8], [9], [8], [8], [10], [9], [6, 6], [10], [9], [10], [9], [10], [8], [10], [6, 7], [9], [6, 7], [8]]
[[8], [8], [8], [8], [8], [8], [7], [4, 8], [6, 6], [9], [10], [9], [10], [9], [7], [7], [10], [10], [9], [10], [6], [10], [9], [6], [8], [6, 6], [8], [8], [7], [8], [10]]
[[6, 6], [8], [4, 8], [7], [8], [8], [9], [9], [9], [8], [9], [8], [8], [8], [7], [9], [8], [6], [8], [7], [7], [], [10], [10], [6], [8], [10], [10], [10], [6, 6], [10], [10]]
[[6, 6], [10], [4, 8], [8], [8], [8], [7], [6, 6], [8], [10], [7], [9], [10], [9], [], [10], [], [], [10], [6, 6], [8], [8], [10], [9], [10], [8], [8], [7], [8], [9], [7], [9], [8]]
[[4, 6], [8], [8], [8], [8], [8], [8], [9], [9], [8], [6], [7], [8], [7], [8], [8], [10], [10], [6], [10], [10], [8], [7], [10], [6], [7], [9], [10], [6], [9], [10], [6], [9], []]
-EndAllocation

Instance: [[1], [270], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[7, 7, 7, 9, 10, 10, 10, 10, 10, 10], [4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 10, 10, 10], [7, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10]]
[[], [4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 10, 10, 10, 10], [5, 8, 10, 10, 10, 10, 10]]
[[], [4, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8], [5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [9, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [4, 10, 10], [5, 6, 6, 6, 8, 10, 10], [10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 10], [8, 9, 10, 10], [4, 5, 7, 7, 7, 7], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 8], [4, 10, 10, 10], [9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10], [5, 6, 7, 7, 7, 7]]
[[], [10, 10, 10], [4, 8, 10, 10], [7, 7, 7, 7], [9, 10, 10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [5, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6, 6], [], [7, 10, 10], [7, 7, 7, 9], [10, 10, 10], [6, 6, 6, 6, 6], [5, 8, 10, 10], [4, 6, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6, 6], [5, 6, 6, 9], [10, 10, 10], [8], [10, 10, 10], [10, 10, 10], [], [7, 7, 7, 7], [4, 6, 6, 6, 6], [10, 10, 10]]
[[], [4, 6, 6, 6, 6], [10, 10], [10, 10], [6, 7, 7], [10, 10], [6, 10, 10], [6, 6, 6, 6], [6, 10, 10], [8, 10, 10], [5, 10, 10], [7, 7, 9], [10]]
[[], [6, 6, 6, 6], [5, 7, 7, 7], [10, 10], [10, 10], [7, 8, 10], [6, 6, 6], [4, 9, 10], [10, 10], [10, 10], [10], [10, 10], [10, 10], [6, 6, 6, 6]]
[[], [9, 10], [7, 7, 7], [8, 10], [4, 5, 6, 6], [10, 10], [10, 10], [6, 7, 10], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [6, 6, 6, 6], []]
[[], [6, 6], [10, 10], [9, 10], [10, 10], [10, 10], [10, 10], [10, 10], [], [10, 10], [6, 6, 6], [7, 7, 8], [10, 10], [4, 6, 6, 6], [5, 6, 6], [6, 7, 7]]
[[], [], [4, 10], [7, 7, 7], [10, 10], [6, 6, 6], [5, 6, 6], [10, 10], [10], [10, 10], [6, 6, 6], [10, 10], [8, 10], [7, 9], [10, 10], [10, 10], [6, 6, 6]]
[[], [10, 10], [], [5, 10], [6, 6, 6], [6, 7, 7], [10, 10], [8, 10], [4, 9], [10, 10], [7, 7], [10, 10], [], [6, 6, 6], [10, 10], [6, 10], [10, 10], [6, 6, 6]]
[[], [], [5, 6, 6], [7], [10, 10], [8, 10], [10], [7, 7], [10, 10], [7, 9], [10, 10], [6, 6, 6], [], [10, 10], [4, 10], [6, 6, 6], [10, 10], [6, 6, 6], [10, 10]]
[[10], [4, 10], [10], [6, 10], [10], [10], [6, 10], [10], [6, 10], [10], [10], [7, 7], [6, 6, 6], [6, 6, 6], [6, 10], [7, 7], [10], [8, 10], [5, 9], [6, 10]]
[[10], [7, 7], [10], [6, 10], [6, 10], [6, 10], [4, 10], [6, 10], [6, 9], [10], [6, 10], [10], [6, 6], [6, 10], [5, 7], [10], [6, 6], [10], [10], [7, 8], [10]]
[[10], [6, 6], [10], [9], [10], [10], [6, 10], [6, 6], [10], [6, 10], [10], [10], [7, 10], [10], [7, 10], [5, 10], [10], [4, 6, 6], [10], [7, 7], [6, 8], [6, 6]]
[[10], [10], [10], [6, 6], [6, 6], [4, 6, 6], [10], [9], [10], [6, 6], [5, 10], [10], [10], [6, 8], [10], [10], [6, 10], [7, 7], [10], [10], [7, 7], [10], [6, 10]]
[[10], [10], [6, 6], [10], [10], [6, 6], [6, 9], [10], [10], [7, 7], [10], [6, 10], [4, 10], [10], [7, 7], [6, 6], [10], [8], [10], [5, 6], [10], [6, 6], [10], [10]]
[[10], [4, 10], [10], [10], [6, 6], [10], [10], [10], [10], [6, 8], [9], [6, 6], [10], [6, 6], [7, 7], [5], [6, 6], [10], [10], [10], [6, 6], [7, 7], [10], [10], [10]]
[[10], [6, 6], [6, 7], [8], [10], [10], [10], [10], [10], [6, 6], [5], [10], [10], [10], [6], [10], [7, 7], [10], [9], [10], [10], [4, 10], [6, 7], [10], [6, 6], [6, 6]]
[[10], [6, 6], [6, 6], [9], [10], [10], [10], [10], [7], [10], [10], [10], [10], [6, 6], [8], [6], [10], [10], [10], [5, 7], [10], [10], [7], [6, 6], [4, 7], [10], [6, 6]]
[[10], [4], [7], [10], [10], [10], [10], [6, 6], [10], [6, 6], [7], [9], [10], [10], [7], [6, 6], [10], [10], [6], [10], [10], [10], [5, 8], [7], [6, 6], [6, 6], [10], [10]]
[[7], [10], [6, 6], [6, 6], [10], [10], [4, 6], [10], [9], [10], [10], [7], [7], [10], [10], [5], [7], [10], [], [6, 6], [6, 6], [6, 6], [10], [10], [8], [10], [10], [10], [10]]
[[7], [10], [], [10], [5], [10], [6, 6], [10], [7], [10], [10], [10], [10], [], [10], [10], [8], [6], [7], [6, 6], [6, 6], [10], [10], [10], [4, 7], [10], [6, 6], [9], [10], [6, 6]]
[[10], [6, 6], [10], [6, 6], [10], [10], [], [7], [7], [10], [6, 6], [10], [7], [5], [10], [7], [10], [9], [10], [], [10], [10], [], [10], [10], [4, 6], [10], [8], [6, 6], [10], [6, 6]]
[[10], [10], [], [9], [], [6, 6], [10], [6, 6], [6, 6], [10], [4, 7], [10], [8], [6], [10], [10], [10], [10], [7], [10], [10], [10], [7], [], [], [5], [10], [10], [6, 6], [10], [6, 6], [7]]
[[9], [6, 6], [], [7], [], [10], [10], [7], [], [10], [7], [10], [10], [10], [10], [7], [], [10], [10], [10], [10], [6, 6], [10], [6, 6], [10], [10], [4], [6, 6], [6, 6], [5, 6], [8], [10], []]
[[7], [10], [6], [7], [10], [6], [10], [10], [7], [8], [10], [6], [10], [5], [10], [6], [10], [10], [9], [6], [10], [10], [10], [10], [6], [6], [6], [10], [6], [6], [7], [6], [10], [4]]
-EndAllocation

Instance: [[1], [269], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[2, 7, 7, 7, 7, 9, 10, 10, 10, 10, 10], [3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 10, 10, 10], [7, 7, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10], [2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[5], [2, 3, 4, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [2, 6, 6, 6, 6, 6, 6, 6, 10, 10], [9, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 10, 10, 10, 10], [3, 5, 8, 8, 10, 10, 10, 10]]
[[], [3, 4, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [6, 6, 8, 8, 10], [2, 5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 6, 6, 6, 10], [9, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [2, 4, 10, 10], [3, 5, 8, 8, 10, 10], [10, 10, 10, 10, 10]]
[[], [2, 10, 10, 10, 10], [10, 10], [8, 8, 9, 10, 10], [3, 4, 5, 7, 7, 7, 7], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [8, 8, 10], [4, 10, 10, 10], [2, 3, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10], [5, 6, 7, 7, 7, 7]]
[[], [3, 10, 10, 10], [2, 4, 8, 8, 10], [7, 7, 7, 7], [9, 10, 10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [6, 10, 10, 10], [5, 10]]
[[], [10, 10, 10], [6, 6, 10, 10], [], [3, 7, 10, 10], [2, 7, 7, 7, 9], [10, 10, 10], [6, 6, 6, 6, 6], [5, 8, 8, 10], [4, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6, 6], [2, 5, 9], [10, 10, 10], [8, 8, 10], [10, 10, 10], [10, 10, 10], [3], [7, 7, 7, 7], [4, 6, 6], [10, 10, 10]]
[[], [4, 6, 6, 6, 6], [10, 10], [2, 10, 10], [7, 7, 10], [10, 10], [10, 10], [6, 6, 6], [10, 10], [8, 8, 10], [5, 10, 10], [7, 7, 9], [3, 10, 10]]
[[], [6, 6, 6], [5, 7, 7, 7], [10, 10], [10, 10], [7, 8, 8], [10, 10], [4, 9, 10], [10, 10], [10, 10], [2, 3, 10], [10, 10], [10, 10], [6, 6, 6, 6]]
[[], [2, 9, 10], [6, 7, 7], [8, 8], [4, 5, 6, 6], [10, 10], [10, 10], [7, 7, 10], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [3, 10, 10], []]
[[], [10, 10], [7, 10], [9, 10], [10, 10], [10, 10], [10, 10], [2, 10, 10], [], [10, 10], [6, 6, 10], [8, 8], [3, 10], [4, 6, 6, 6], [5, 6, 6], [7, 7, 7]]
[[], [], [4, 10], [7, 7, 7], [10, 10], [6, 6, 6], [5, 6, 10], [10, 10], [], [10, 10], [10, 10], [10, 10], [3, 8, 8], [7, 9], [10, 10], [10, 10], [2, 6, 6, 6]]
[[], [10, 10], [2], [5, 10], [6, 6, 6], [7, 7], [10, 10], [8, 8], [4, 9], [10, 10], [7, 7], [10, 10], [3], [6, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6]]
[[], [10], [5], [7], [10, 10], [8, 8], [3, 10], [7, 7], [10, 10], [7, 9], [10, 10], [6, 6, 6], [10, 10], [10, 10], [4, 10], [6], [10, 10], [6, 6, 6], [2, 10]]
[[10], [4, 10], [10], [6, 10], [10], [10], [6, 10], [2, 10], [10], [10], [10], [7, 7], [6, 6, 6], [6, 10], [7, 10], [7, 10], [10], [8, 8], [3, 5, 9], [6, 10]]
[[10], [7, 7], [10], [10], [6, 10], [6, 10], [4, 10], [6, 10], [6, 9], [2, 10], [10], [7, 10], [6, 6], [10], [5, 7], [3, 10], [6, 10], [10], [10], [8, 8], [10]]
[[10], [2, 10], [10], [10], [10], [10], [6, 10], [6, 10], [10], [6, 10], [10], [10], [7, 7], [10], [7, 7], [5, 10], [10], [4, 6, 6], [3, 10], [9], [8, 8], [6, 6]]
[[10], [10], [10], [6, 6], [6, 6], [4, 6, 6], [10], [9], [10], [10], [5, 10], [10], [10], [8, 8], [10], [2, 10], [3, 10], [7, 7], [10], [10], [7, 7], [10], [6, 10]]
[[10], [10], [2, 6, 6], [10], [3, 10], [6, 10], [6, 9], [10], [], [7, 7], [10], [10], [4, 10], [10], [7, 7], [6, 6], [10], [8, 8], [10], [5, 6], [10], [10], [10], [10]]
[[10], [4, 10], [10], [10], [6, 6], [10], [10], [10], [10], [6, 8], [9], [6, 6], [3, 10], [10], [7, 7], [5], [10], [2, 10], [10], [10], [6, 6], [7, 7], [8], [10], [10]]
[[10], [6], [7, 7], [8], [10], [10], [3, 10], [8], [10], [6, 6], [5], [10], [10], [10], [10], [2, 10], [7, 7], [10], [9], [10], [10], [4, 10], [10], [10], [6, 6], [6, 6]]
[[10], [6], [6, 6], [9], [10], [10], [10], [10], [7], [10], [10], [10], [2, 10], [10], [8], [10], [8], [10], [10], [5, 7], [10], [10], [7], [6, 6], [4, 7], [3, 10], [6, 6]]
[[10], [4], [7], [10], [10], [10], [10], [6, 6], [10], [6, 6], [7], [2, 9], [3, 10], [10], [7], [6], [10], [10], [10], [10], [8], [10], [5, 8], [7], [10], [6, 6], [10], [10]]
[[7], [10], [6, 6], [6, 6], [10], [8], [4], [10], [9], [2, 10], [10], [7], [7], [10], [10], [5], [7], [3, 10], [10], [6], [6, 6], [10], [10], [10], [8], [10], [10], [10], [10]]
[[7], [10], [10], [8], [5], [10], [6], [10], [7], [10], [10], [10], [10], [], [10], [10], [8], [10], [7], [6, 6], [10], [10], [10], [10], [4, 7], [3], [6, 6], [9], [2, 10], [6, 6]]
[[10], [10], [10], [6, 6], [10], [10], [], [7], [7], [10], [6, 6], [10], [7], [2, 5], [10], [7], [10], [8], [3], [10], [9], [10], [], [10], [10], [4, 6], [10], [8], [10], [10], [6, 6]]
[[10], [10], [10], [9], [], [6, 6], [10], [6, 6], [6], [10], [4, 7], [10], [8], [2, 10], [10], [10], [10], [8], [7], [10], [10], [10], [3, 7], [], [], [5], [10], [10], [], [10], [6, 6], [7]]
[[9], [10], [], [7], [], [8], [10], [7], [], [10], [7], [10], [10], [10], [10], [7], [], [10], [10], [10], [10], [6, 6], [10], [6, 6], [10], [3], [2, 4], [6, 6], [10], [5, 6], [8], [10], [10]]
[[7], [10], [6], [7], [10], [10], [10], [10], [2, 7], [8], [10], [6], [10], [5], [10], [6], [10], [10], [9], [], [10], [8], [10], [10], [6], [6], [10], [10], [3], [6], [7], [6], [10], [4]]
-EndAllocation

Instance: [[1], [268], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [178, 120, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [134, 90, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[7, 7, 7, 7, 7, 9, 10, 10, 10, 10, 10], [2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10], [2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10]]
[[5], [2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 9], [6, 10, 10, 10, 10, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [2, 6, 6, 6, 6, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 7, 10, 10, 10], [3, 5, 5, 5, 8, 8, 10, 10, 10]]
[[], [3, 4, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [8, 8, 10, 10], [2, 5, 5, 5, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 10, 10], [9, 10, 10, 10, 10], [7, 7, 7, 7, 7, 10], [2, 4, 5, 10, 10], [3, 5, 5, 8, 8, 10, 10], [10, 10, 10, 10, 10]]
[[], [2, 10, 10, 10, 10], [5, 5, 5, 10, 10], [8, 8, 9, 10, 10], [3, 4, 7, 7, 7, 7, 7], [10, 10, 10, 10], [6, 6, 6, 6], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [7, 7, 8, 8], [4, 10, 10, 10], [2, 3, 9], [6, 6, 6, 6, 10], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 7, 7, 7]]
[[], [10, 10, 10], [2, 4, 8, 8, 10], [7, 7, 7, 7, 7], [9, 10], [10, 10, 10], [10, 10, 10], [3, 6, 6, 6, 6], [10, 10, 10], [5, 5, 5, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [], [3, 7, 7, 10], [2, 7, 7, 7, 9], [10, 10, 10], [4, 6, 6, 6, 6], [5, 5, 5, 8, 8], [10, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6], [2, 5, 5, 5, 9], [10, 10, 10], [7, 8, 8], [10, 10, 10], [10, 10, 10], [3, 10], [7, 7, 7, 7], [4], [10, 10, 10]]
[[], [4, 6, 6, 6, 6], [10, 10], [2, 10, 10], [7, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8, 10], [5, 5, 5, 10], [7, 7, 9], [3, 10, 10]]
[[], [10, 10], [4, 5, 5, 5, 7], [10, 10], [10, 10], [7, 8, 8], [10, 10], [9, 10], [10, 10], [7, 7, 7], [2, 3, 10], [10, 10], [10, 10], [6, 6, 6, 6]]
[[], [2, 9, 10], [6, 7, 7], [8, 8], [4, 5, 5, 5], [10, 10], [10, 10], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6], [10, 10], [10, 10], [3, 10, 10], [10]]
[[], [10, 10], [7, 7], [9, 10], [10, 10], [10, 10], [10, 10], [2, 10, 10], [], [10, 10], [10, 10], [8, 8], [3, 10], [4, 6, 6, 6], [5, 5, 5, 6], [7, 7, 7]]
[[], [], [4, 10], [7, 7, 7], [7, 10], [6, 6, 6], [5, 5, 5], [10, 10], [10], [10, 10], [10, 10], [10, 10], [3, 8, 8], [7, 9], [10, 10], [10, 10], [2, 6, 10]]
[[], [10, 10], [2], [5, 5, 5], [6], [7, 7], [10, 10], [8, 8], [4, 7, 9], [10, 10], [7, 7], [10, 10], [3], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6]]
[[], [10], [5, 5, 5], [7, 7], [10, 10], [8, 8], [3, 10], [7, 7], [10, 10], [7, 9], [10, 10], [6], [10, 10], [10, 10], [4, 10], [], [10, 10], [6, 6, 6], [2, 10]]
[[10], [4, 10], [7, 10], [6, 10], [10], [10], [10], [2, 10], [10], [9], [10], [7, 7], [6, 10], [6, 10], [7, 10], [7, 10], [10], [8, 8], [3, 5, 5, 5], [6, 10]]
[[10], [7, 7], [10], [10], [7, 10], [10], [4, 10], [7, 10], [6, 9], [2, 10], [10], [7, 10], [6, 6], [10], [5, 5, 5], [3, 10], [6, 10], [10], [10], [8, 8], [10]]
[[10], [2, 10], [10], [10], [10], [10], [10], [6, 10], [10], [6, 10], [10], [10], [7, 7], [10], [7, 7], [5, 5, 5], [10], [4, 10], [3, 10], [7, 9], [8, 8], [6, 6]]
[[10], [10], [10], [10], [6, 6], [4, 6, 6], [10], [7, 9], [10], [5, 5], [5, 10], [10], [10], [8, 8], [10], [2, 10], [3, 10], [7, 7], [10], [10], [7, 7], [10], [10]]
[[10], [10], [2, 6], [10], [3, 10], [10], [6, 9], [10], [10], [7, 7], [10], [10], [4, 10], [10], [7, 7], [5, 5, 6], [10], [8, 8], [7], [5, 6], [10], [10], [10], [10]]
[[10], [4, 10], [10], [10], [10], [10], [7], [10], [10], [8], [9], [6, 6], [3, 10], [10], [7, 7], [5, 5], [10], [2, 10], [10], [10], [6, 6], [7, 7], [5, 8], [10], [10]]
[[10], [10], [7, 7], [8], [10], [10], [3, 10], [8], [10], [10], [5, 5], [10], [10], [10], [10], [2, 10], [7, 7], [5], [9], [10], [10], [4, 10], [7], [10], [6, 6], [6, 6]]
[[10], [10], [6, 6], [9], [10], [5, 7], [10], [10], [7], [10], [10], [10], [2, 10], [7], [8], [10], [8], [10], [10], [5, 5], [10], [10], [7], [6, 6], [10], [3, 10], [4, 7]]
[[10], [4], [7], [10], [10], [10], [10], [6, 6], [10], [6, 6], [7], [2, 9], [3, 10], [5, 5], [7], [10], [10], [10], [10], [10], [8], [10], [5, 8], [7], [10], [10], [10], [7]]
[[7], [10], [6, 6], [6, 6], [10], [8], [4], [10], [9], [2, 10], [10], [5, 7], [7], [10], [10], [5, 5], [7], [3, 10], [], [10], [10], [10], [10], [10], [8], [10], [10], [7], [10]]
[[7], [10], [7], [8], [5, 5], [10], [5], [10], [7], [10], [10], [10], [10], [], [10], [10], [8], [10], [7], [10], [10], [10], [10], [10], [4, 7], [3], [6, 6], [9], [2, 10], [6, 6]]
[[10], [10], [10], [6], [10], [10], [10], [7], [7], [10], [6, 6], [10], [7], [2, 5, 5], [10], [7], [10], [8], [3], [10], [9], [10], [], [10], [10], [4, 6], [10], [8], [5], [10], [7]]
[[10], [10], [], [9], [], [10], [10], [6, 6], [10], [10], [4, 5], [10], [8], [2], [10], [10], [10], [8], [7], [10], [10], [10], [3, 7], [7], [7], [5, 5], [10], [10], [], [10], [6, 6], [7]]
[[9], [10], [], [7], [], [8], [10], [7], [5], [10], [7], [10], [10], [7], [10], [7], [], [10], [10], [10], [10], [10], [10], [6, 6], [10], [3], [2, 4], [6, 6], [10], [5, 5], [8], [10], [10]]
[[7], [10], [10], [7], [10], [10], [10], [7], [2, 7], [8], [10], [10], [10], [5, 5], [10], [6], [10], [10], [9], [], [10], [8], [5], [10], [6], [], [10], [10], [3], [6], [7], [6], [10], [4]]
-EndAllocation

Instance: [[1], [267], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [178, 118, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [134, 89, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 5, 5, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[3, 5, 5, 6, 6, 6, 6], [8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7]]
[[10, 10, 10, 10, 10, 10], [3, 5, 5, 9, 9, 9, 9, 9], [8, 8, 8, 8, 9], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6], [7, 7, 7, 7]]
[[3, 5, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10], [10, 10], [6, 6, 6, 6], [7, 7, 7, 7, 9], [9, 9, 9, 9, 9]]
[[3, 5, 5, 10, 10, 10], [], [6, 6, 6, 6], [8, 8, 8, 8, 8], [8, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 9], [9, 9, 9, 9, 9]]
[[3, 5, 5, 9, 10], [9, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 8], [7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10]]
[[3, 8, 8, 8, 8], [5, 5, 8, 8, 8], [9, 9], [], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6]]
[[8, 8, 8, 8], [3, 5, 5, 10, 10], [8, 8, 8], [10, 10, 10], [9, 9, 10], [7, 7, 7, 7], [9, 9, 9], [], [9], [6, 6, 6, 6], [8, 8, 8, 8]]
[[5, 8, 8, 8], [3, 5, 8, 8], [9, 9, 9], [6, 6, 6, 6], [], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [], [8, 8, 8], [8, 8, 8]]
[[3, 8, 8, 8], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [5, 10, 10], [5, 10, 10], [9, 9, 9], [8, 8, 8], [], [], [7, 7, 7, 7], [10, 10], [8, 8]]
[[3, 5, 9, 9], [8, 8, 8], [5, 8, 8], [], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [], [10, 10], [10, 10], [9, 9], [7, 9, 9], [8, 8, 8]]
[[3, 5, 8, 8], [8, 8, 8], [10, 10], [5], [9, 9], [8, 8, 8], [9, 9], [6, 6, 6, 6], [7, 7, 7], [7], [], [10, 10], [9, 9], [10, 10], [8, 8, 8]]
[[5, 8, 8], [5, 8, 8], [3, 8, 8], [9, 9], [10, 10], [10, 10], [6, 8], [7], [7, 7, 7], [8, 8], [], [9, 9], [6, 6, 6], [10, 10], [9, 9], [8, 8]]
[[3, 5, 5, 8], [8, 8], [8, 8], [6, 7, 7], [9, 9], [7, 7], [10, 10], [], [8, 8], [9, 9], [], [8, 8], [10, 10], [10, 10], [9, 9], [6, 6, 6], [8, 8]]
[[3, 8, 8], [8, 8], [5, 5, 8], [9, 9], [6, 7, 7], [6, 6, 6], [], [], [10, 10], [10, 10], [], [7, 7], [8, 8], [10, 10], [9, 9], [9, 9], [8, 8], [8, 8]]
[[9, 9], [3, 5, 5], [8, 8], [7, 7], [8], [], [10, 10], [6, 6, 6], [10, 10], [6], [8, 8], [], [7, 7], [9, 9], [9, 9], [10, 10], [8, 8], [8, 8], [8, 8]]
[[8, 8], [8, 8], [3, 5, 5], [7, 7], [9, 9], [8], [10], [7, 7], [10], [10], [9, 9], [6, 6, 6], [10], [10], [9, 9], [8, 8], [8, 8], [10], [8, 8], [6]]
[[3, 10], [8, 8], [8, 8], [7, 10], [8, 8], [5, 5], [10], [9], [9], [9], [9], [8, 8], [6, 6], [10], [6, 6], [7, 10], [9], [10], [7, 7], [8, 8], [8, 9]]
[[5, 9], [8, 8], [8, 8], [3, 10], [5, 6, 6], [6, 6], [], [9], [7, 10], [7, 9], [10], [10], [], [7, 7], [9], [10], [8, 8], [8, 8], [9], [8, 9], [10], [8, 8]]
[[3, 5, 5], [8, 8], [10], [8, 8], [6, 8], [10], [], [7, 7], [9], [9], [10], [9], [9], [6, 10], [7, 7], [10], [8, 8], [9], [8, 8], [9], [10], [6, 6], [8, 8]]
[[3, 5, 8], [8, 8], [8, 8], [5, 10], [9], [10], [6], [9], [6, 9], [7, 7], [10], [8, 8], [9], [], [6, 6], [10], [9], [10], [9], [10], [8, 8], [], [7, 7], [8, 8]]
[[3, 9], [5, 9], [6, 8], [6, 8], [8], [9], [9], [6, 8], [6, 8], [8], [8], [10], [10], [10], [7, 7], [10], [8], [9], [8], [8], [10], [9], [10], [7, 7], [5, 8]]
[[3, 8], [9], [5, 9], [6, 8], [8], [10], [9], [10], [9], [7, 7], [7, 7], [6, 6], [10], [10], [9], [6, 8], [8], [9], [8], [8], [8], [8], [10], [8], [10], [5, 8]]
[[6, 7], [3, 8], [5, 8], [5, 8], [9], [8], [10], [9], [10], [9], [6, 7], [8], [10], [10], [9], [8], [9], [10], [6, 7], [8], [10], [9], [6, 7], [8], [8], [8], [8]]
[[6, 7], [9], [10], [5, 8], [5, 8], [8], [8], [9], [8], [7], [10], [7], [10], [10], [6, 7], [8], [9], [9], [9], [8], [8], [9], [8], [10], [10], [8], [3, 8], [6, 6]]
[[3, 9], [5, 8], [7], [8], [8], [8], [7], [7], [5, 8], [9], [8], [9], [8], [9], [8], [10], [10], [9], [8], [8], [6, 6], [6, 6], [10], [10], [8], [10], [9], [10], [7]]
[[3, 8], [8], [8], [8], [8], [8], [9], [8], [9], [10], [9], [9], [6, 6], [10], [9], [5, 7], [10], [10], [9], [7], [6, 6], [8], [7], [5, 7], [], [10], [8], [8], [8], [10]]
[[8], [8], [8], [8], [8], [3, 5], [6, 6], [8], [5], [7], [8], [8], [8], [10], [7], [9], [7], [9], [10], [9], [9], [9], [8], [10], [10], [6, 6], [10], [7], [9], [10], [8]]
[[3, 8], [7], [8], [8], [7], [8], [8], [6, 6], [8], [8], [6, 6], [10], [10], [7], [8], [9], [8], [10], [], [9], [], [8], [7], [10], [9], [10], [10], [9], [8], [9], [9], [5, 5]]
[[5, 7], [5], [8], [10], [10], [10], [7], [9], [8], [8], [8], [10], [8], [8], [9], [6, 6], [10], [9], [9], [6, 6], [7], [10], [7], [9], [9], [8], [8], [8], [], [8], [], [], [3, 8]]
[[9], [8], [8], [8], [8], [8], [3, 6], [9], [5, 5], [7], [10], [7], [8], [7], [8], [], [10], [], [10], [7], [9], [8], [10], [10], [9], [6], [8], [8], [9], [6], [10], [6], [9], [8]]
-EndAllocation

Instance: [[1], [266], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [177, 118, 89, 72, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [133, 89, 67, 54, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9], [7, 7, 7, 7, 7, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8], [6, 6, 6, 7, 7, 7, 7, 7]]
[[8, 8, 8, 8, 8, 9], [8, 8, 8, 8, 8, 9], [8, 10, 10, 10, 10], [10, 10], [6, 6, 6], [7, 7, 7, 7, 7], [5, 5, 5, 5, 9, 9, 9]]
[[5, 7, 10, 10], [10, 10, 10, 10], [6, 6, 6], [8], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7]]
[[8, 9], [9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10], [5, 5, 5, 5]]
[[7, 7, 7, 7, 8], [10, 10, 10], [8, 8, 8, 8], [7, 9], [], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [6, 6, 6]]
[[7, 8, 8, 8], [8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [9, 9], [], [6, 6, 6], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 8]]
[[7, 8], [8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [9, 9], [7, 7, 7, 7], [9, 9, 9], [], [6, 6, 6], [8, 8, 8], [5, 5, 5, 5, 8]]
[[8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 6, 8, 8], [6], [7, 7, 7, 7], [], [10, 10], [9, 9, 9], [10, 10], [9, 9], [10, 10], [5, 5, 5, 5, 7]]
[[6, 8, 8], [5, 7, 7], [8, 8, 8], [6, 6, 8], [8, 8, 8], [8], [10, 10], [7, 7, 7], [9], [10, 10], [10, 10], [9, 9], [9, 9], [5, 5, 5, 8]]
[[7, 7, 7], [7, 7, 8], [8, 8, 8], [8], [9], [8, 8, 8], [6, 6, 6], [9, 9], [10, 10], [], [8, 8, 8], [10, 10], [9, 9], [10, 10], [5, 5, 5, 5]]
[[5, 8, 8], [8, 8], [8, 8], [8, 8], [8, 9], [10], [9, 9], [], [8, 8], [10, 10], [10, 10], [9, 9], [6, 6, 6], [7, 7, 7], [5, 5, 10], [5, 7, 7]]
[[8, 8], [8], [8, 8], [7, 7, 7], [7, 9], [], [8, 8], [10], [6, 6, 6], [9, 9], [10, 10], [8, 8], [9, 9], [5, 5, 5, 5], [10, 10], [8, 10], [7, 8]]
[[5, 5, 5, 5], [8, 8], [8, 8], [10, 10], [6, 6, 6], [7], [10, 10], [], [7, 7], [9], [8, 8], [7, 7], [8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [8]]
[[8, 8], [8, 8], [5, 8], [6, 6, 6], [7, 10], [8, 10], [10], [7, 7], [9], [7, 7], [9, 9], [], [8, 8], [10], [9, 9], [5, 10], [10], [5, 5, 8], [8, 8]]
[[8, 8], [8, 8], [5, 5, 7], [7, 7], [8, 8], [10], [9], [6, 6, 6], [10], [9, 9], [7, 7], [10], [10], [], [10], [10], [9, 9], [8, 8], [8, 8], [5, 5, 8]]
[[5, 5, 6], [8, 8], [8, 8], [7, 9], [7, 7], [9], [9], [8, 8], [10], [10], [10], [8, 8], [7, 7], [10], [6, 6], [10], [9], [10], [5, 9], [8, 8], [5, 8]]
[[7, 9], [8], [6, 10], [7, 10], [7, 10], [6, 6], [10], [8, 9], [8, 9], [8], [7, 8], [8], [8], [7], [8, 9], [10], [10], [8], [8], [9], [5, 5, 5], [5, 8]]
[[5, 8], [8, 8], [10], [10], [6, 10], [7, 9], [], [7, 7], [9], [10], [8, 8], [9], [9], [], [7, 7], [10], [8, 8], [10], [8, 8], [9], [5, 5, 5], [6, 6], [8, 8]]
[[8, 8], [6, 8], [8], [7, 9], [7, 9], [10], [7, 8], [8], [9], [8], [8], [8], [6, 8], [], [10], [10], [9], [10], [10], [5, 10], [8], [6, 9], [5, 5, 5], [7, 7]]
[[8], [5, 9], [8], [5, 8], [6, 8], [7, 7], [10], [10], [8], [10], [5, 9], [6, 8], [9], [8], [10], [8], [10], [6, 7], [8], [8], [9], [7, 7], [9], [10], [5, 8]]
[[6, 8], [5, 8], [5, 8], [5, 9], [5, 7], [10], [8], [8], [7, 7], [10], [7, 7], [], [10], [10], [8], [8], [9], [9], [8], [8], [9], [10], [9], [6, 8], [10], [6, 8]]
[[9], [6, 7], [5, 8], [5, 8], [8], [10], [10], [8], [10], [8], [6, 7], [10], [10], [9], [7], [9], [9], [8], [9], [7], [10], [6, 7], [8], [8], [8], [5, 8], [5, 8]]
[[5, 8], [5], [9], [8], [8], [7], [10], [8], [10], [10], [9], [10], [8], [8], [10], [9], [6, 7], [9], [7], [6, 7], [8], [6, 7], [10], [8], [9], [8], [5, 8], [5, 8]]
[[7], [6, 7], [5, 8], [5, 8], [8], [5, 8], [9], [8], [10], [8], [8], [9], [9], [9], [6, 7], [10], [10], [9], [8], [8], [8], [6, 7], [10], [10], [10], [], [8], [], [5, 7]]
[[5, 7], [10], [9], [6, 6], [10], [9], [9], [8], [9], [8], [8], [8], [5, 7], [6], [10], [10], [8], [7], [8], [5, 5], [7], [9], [8], [7], [8], [8], [8], [10], [8], [10]]
[[5, 5], [6, 6], [8], [8], [8], [9], [7], [7], [8], [8], [7], [8], [7], [10], [9], [8], [10], [9], [8], [10], [10], [10], [8], [9], [10], [6], [5, 5], [8], [9], [7], [8]]
[[5, 6], [8], [8], [8], [8], [5, 7], [9], [5, 6], [9], [7], [7], [9], [9], [9], [10], [10], [], [6], [7], [8], [10], [7], [10], [10], [8], [8], [10], [8], [5], [8], [8], [8]]
[[10], [9], [7], [9], [5, 7], [9], [6], [8], [8], [7], [8], [8], [8], [10], [8], [], [8], [8], [8], [7], [8], [10], [5, 7], [10], [10], [], [9], [5, 5], [], [6, 6], [9], [10], [8]]
[[7], [9], [7], [5, 5], [7], [6], [8], [5], [8], [8], [8], [], [7], [8], [7], [10], [8], [8], [9], [10], [10], [9], [10], [8], [8], [6], [8], [10], [8], [9], [10], [6], [9], [5]]
-EndAllocation

Instance: [[1], [265], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,34. UB Alg: [177, 118, 89, 70, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [133, 89, 67, 53, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,34:
-StartAllocation
[[5, 5, 5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 9], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[5, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7]]
[[5, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10], [6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 8, 9, 9, 9, 9, 9]]
[[5, 6, 6, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 6, 10, 10]]
[[5, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10], [10, 10], [7, 9, 9, 9, 9, 9], [7, 7, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10], [6, 6, 6], [5, 5, 5, 5, 7, 7, 7, 8], [9, 9, 9, 9, 9]]
[[5, 10, 10, 10, 10], [5, 5, 5, 5], [6, 6, 6], [10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 7, 8, 8]]
[[5, 8, 8, 9], [5, 5, 5, 5], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [6, 6, 6, 7, 7, 7], [9, 9, 9, 9], [10, 10]]
[[5, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [], [5, 5, 5, 5], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 9]]
[[5, 8, 8, 8], [], [5, 5, 5, 5], [9, 9], [7, 7, 7], [9, 9, 9], [10, 10, 10], [6, 6, 6, 8], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8]]
[[5, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [7, 7, 7], [9, 9], [6, 6, 6], [9, 9, 9], [], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [10, 10], [7, 7, 7], [], [8, 10, 10], [9, 9, 9], [9, 9], [6, 6, 6], [10, 10], [8, 8, 8]]
[[7, 7, 7], [8, 8, 8], [8, 8, 8], [6, 6, 6], [], [10, 10], [10, 10], [8, 8, 8], [9, 9], [9, 9], [9], [5, 5, 5, 5], [5, 10, 10], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [10, 10], [5, 5, 5, 5], [9], [8, 8, 8], [7, 7, 7], [6, 6, 6], [], [8], [9, 9], [10, 10], [9, 9], [10, 10], [8, 8, 8]]
[[5, 8, 8], [8, 8], [9], [8, 8], [8, 8], [8, 8], [9, 9], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5], [10, 10], [6, 6, 6], [], [10, 10], [8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [7, 7, 7], [9], [], [8, 8], [10, 10], [6, 6, 6], [9, 9], [10, 10], [8, 8], [9, 9], [], [5, 5, 5, 5], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [10, 10], [7], [9, 9], [8, 8], [6, 6, 6], [], [], [10, 10], [7, 7], [5, 5, 5, 5], [10, 10], [9, 9], [5, 9], [8, 8]]
[[5, 10], [8, 8], [8, 8], [6, 6, 6], [10], [8, 8], [10], [7, 7], [], [10], [9, 9], [10], [8, 8], [9, 9], [8, 9], [7, 10], [5, 5, 5], [8, 8], [5, 8]]
[[5, 5, 8], [8, 8], [], [7, 7], [9, 9], [8, 8], [], [9], [10], [10], [7, 10], [6, 6, 6], [5, 10], [], [9, 9], [5, 5, 8], [8, 10], [8, 10], [8, 8], [8, 8]]
[[5, 9], [8, 8], [8, 8], [7, 9], [9], [10], [9], [8, 8], [5, 5, 5], [10], [], [8, 8], [6, 6], [9], [6, 10], [10], [10], [5, 10], [7, 7], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10], [10], [6, 6], [9], [], [5, 10], [7, 9], [6, 10], [10], [9], [7, 7], [9], [], [8], [8, 8], [8, 9], [5, 5, 5], [5, 10], [8, 8]]
[[5, 8], [8, 8], [10], [10], [], [10], [9], [7, 9], [5, 9], [], [10], [9], [9], [6, 10], [7, 7], [8, 8], [8, 8], [], [8, 8], [5, 5, 5], [6, 10], [6, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [9], [9], [8, 8], [], [], [9], [7], [6, 6], [9], [6, 9], [5, 5, 5], [], [10], [10], [10], [10], [5, 10], [8, 8], [5, 10], [7, 7], [8, 8]]
[[10], [6, 8], [8], [10], [8], [8], [5, 9], [8], [10], [8], [5, 8], [10], [8], [9], [7, 7], [9], [8], [6, 7], [10], [8], [5, 9], [6, 8], [10], [5, 9], [5, 8]]
[[5, 8], [6, 8], [6, 8], [9], [8], [8], [10], [10], [9], [8], [7, 7], [5, 5], [9], [9], [9], [8], [10], [5, 7], [8], [8], [8], [6, 8], [10], [10], [10], [5, 8]]
[[5, 8], [10], [7], [8], [9], [8], [8], [9], [10], [8], [6, 6], [9], [10], [8], [6, 7], [10], [10], [8], [5, 8], [5, 8], [10], [8], [5, 8], [9], [9], [8], [5, 7]]
[[10], [8], [10], [8], [8], [5, 8], [8], [5, 5], [8], [10], [10], [8], [9], [8], [10], [9], [10], [8], [6, 7], [6, 6], [9], [8], [7], [9], [7], [9], [5, 8], [5, 8]]
[[9], [9], [10], [8], [9], [8], [5, 8], [8], [5, 5], [9], [8], [6, 6], [8], [7], [], [10], [8], [8], [8], [9], [10], [10], [8], [10], [6, 7], [8], [5, 7], [10], [5, 8]]
[[5, 7], [8], [8], [8], [8], [8], [5, 5], [8], [9], [8], [10], [], [10], [10], [10], [8], [9], [9], [6, 6], [7], [9], [8], [8], [9], [10], [8], [5, 7], [5, 6], [10], [8]]
[[8], [10], [8], [8], [8], [8], [10], [9], [8], [8], [6, 6], [10], [5, 5], [8], [7], [6], [7], [9], [9], [5, 5], [], [9], [8], [9], [10], [8], [10], [8], [5, 7], [10], [8]]
[[9], [8], [8], [8], [8], [8], [7], [8], [10], [8], [5, 5], [5, 6], [8], [6, 6], [], [], [10], [10], [8], [8], [], [5, 7], [9], [10], [9], [10], [8], [9], [10], [8], [9], [5, 7]]
[[5, 7], [7], [8], [8], [8], [8], [10], [10], [7], [10], [9], [5, 5], [8], [9], [], [9], [], [], [10], [6], [8], [8], [10], [8], [8], [8], [10], [5, 5], [9], [6, 6], [8], [9], [8]]
[[9], [8], [8], [8], [8], [8], [5, 5], [8], [10], [8], [], [8], [], [8], [10], [10], [8], [7], [5], [6], [7], [9], [10], [6], [5, 5], [6], [9], [10], [8], [9], [10], [9], [7], [8]]
-EndAllocation

Instance: [[1], [280], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [186, 125, 93, 74, 62, 53, 46, 42, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 10], Opt: [140, 94, 70, 56, 47, 40, 35, 32, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [5, 5, 9, 9, 9, 9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 7, 7, 7, 7, 10], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [5, 5, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 7, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8], [6, 6, 6, 6, 9, 9, 9, 9, 10], [10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 8, 8, 8], [7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5], [9, 9, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 10], [7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10], [], [5, 5, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9]]
[[4, 10, 10, 10, 10], [7, 7, 7, 7], [], [10, 10, 10, 10], [5, 5, 9, 9, 9, 9], [6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [6, 9, 9, 9, 9], [4, 5, 5, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [8, 8, 8, 8, 8], [6, 6, 6, 7, 7, 7], [7]]
[[4, 7, 8, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 8], [10, 10, 10], [], [7, 7, 7, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 10]]
[[4, 6, 6, 8, 8], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10], [6, 9, 9, 9], [10, 10, 10], [5, 5], [10, 10, 10], [], [6, 9, 9, 9], [8, 8, 8, 8]]
[[10, 10, 10], [4, 8, 8], [9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [5, 5, 10, 10], [10, 10, 10], [], [], [9, 9, 9], [6, 6, 6, 6]]
[[4, 8, 8, 8], [6, 6, 10], [6, 10, 10], [8, 9, 9], [5, 5, 9, 10], [6, 10, 10], [9, 9, 9], [8, 8, 8], [], [], [10, 10], [7, 7, 7, 7], [8, 8, 8]]
[[4, 6, 6, 9], [8, 8, 8], [8, 8, 8], [7, 7, 9], [10, 10], [7, 9, 9], [10, 10], [6, 10, 10], [6, 10, 10], [7], [8], [5, 5], [9, 9], [8, 8, 8]]
[[4, 8], [10, 10], [7, 9, 9], [6, 6, 6, 6], [5, 5], [9, 9], [10, 10], [7, 7, 7], [8, 8, 8], [], [8, 8, 8], [10, 10], [10, 10], [9, 9], [8, 8, 8]]
[[4, 7, 8], [], [], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [7, 7, 7], [5, 5], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [9, 9], [10, 10], [8, 8, 8]]
[[6, 8, 8], [4, 8, 8], [7, 8], [], [10, 10], [10, 10], [], [9, 9], [7, 7, 7], [9, 9], [5, 5, 8], [8, 8], [9, 9], [10, 10], [10, 10], [6, 6, 6], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [6, 7], [9, 9], [], [], [6, 6, 6], [9, 9], [7, 7, 7], [8, 8], [9, 9], [10, 10], [10, 10], [5, 5], [10, 10], [10, 10], [8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [10, 10], [6, 7, 7], [9, 9], [], [10, 10], [7, 7], [5, 5], [9, 9], [], [], [10, 10], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8]]
[[8, 10], [5, 10], [4, 6], [6, 6, 6], [8, 10], [8, 10], [8, 9], [8, 9], [9], [9], [7, 7], [5, 10], [10], [], [8, 10], [9], [7, 7], [8, 9], [8, 8], [8, 10]]
[[6, 10], [8, 8], [8, 8], [4, 10], [9, 9], [9, 9], [10], [], [5, 5], [7, 10], [], [8, 8], [7, 7], [10], [6, 6, 6], [7, 10], [9, 9], [10], [10], [8, 8], [8, 8]]
[[7, 9], [6, 8], [8, 8], [6, 10], [10], [9], [8, 8], [8, 9], [10], [6, 6], [5, 10], [4], [9], [5, 9], [7, 7], [10], [10], [7, 10], [9], [8, 8], [10], [8, 8]]
[[8, 9], [8, 8], [8, 8], [6, 10], [6, 10], [], [10], [5, 9], [10], [10], [9], [10], [7, 9], [10], [10], [6, 6], [8, 8], [7, 9], [8, 8], [], [9], [7, 7], [4, 5, 8]]
[[4, 6, 6], [9], [9], [7, 7], [9], [10], [9], [9], [8, 8], [10], [8, 8], [10], [5, 5], [10], [10], [10], [8, 8], [10], [8, 8], [6, 6], [10], [9], [7, 7], [8, 8]]
[[6, 6], [8, 8], [7, 7], [10], [], [7, 9], [8, 8], [8, 8], [10], [9], [5, 5], [], [4, 9], [9], [10], [10], [9], [6, 6], [10], [10], [10], [8, 8], [10], [7, 9], [8, 8]]
[[4, 9], [5, 8], [5, 9], [6, 8], [8], [9], [6, 8], [10], [10], [9], [8], [10], [6, 8], [7, 7], [10], [7, 7], [8], [9], [8], [10], [10], [10], [9], [10], [8], [6, 8]]
[[5, 9], [7, 7], [5], [10], [6, 8], [6, 8], [6, 8], [10], [8], [9], [8], [10], [10], [10], [10], [8], [9], [10], [9], [7, 7], [10], [8], [8], [9], [4, 9], [8], [6, 8]]
[[8], [9], [10], [8], [9], [4, 8], [10], [5, 8], [10], [10], [8], [9], [8], [6, 7], [10], [9], [9], [8], [8], [6, 7], [6, 7], [8], [9], [10], [10], [6, 7], [5, 8], [10]]
[[10], [8], [5, 8], [4, 8], [9], [8], [8], [6, 7], [9], [8], [10], [9], [8], [9], [9], [7], [8], [8], [8], [6, 6], [10], [10], [10], [6, 7], [10], [10], [5, 7], [10], [9]]
[[10], [5, 7], [10], [9], [9], [8], [8], [8], [8], [8], [10], [8], [6, 7], [9], [8], [10], [10], [6, 7], [9], [10], [10], [10], [8], [9], [8], [7], [9], [5, 8], [6, 6], [4]]
[[8], [5, 8], [5, 8], [9], [8], [9], [9], [10], [6, 7], [9], [10], [10], [10], [8], [8], [6], [10], [7], [6, 7], [10], [8], [9], [8], [10], [10], [4, 9], [8], [6, 7], [8], [], []]
[[8], [8], [4, 8], [5, 7], [8], [6, 6], [10], [10], [9], [9], [10], [10], [5, 7], [10], [10], [9], [10], [8], [8], [8], [8], [8], [9], [7], [9], [10], [6], [7], [6], [8], [], [9]]
[[8], [8], [8], [8], [7], [8], [10], [10], [8], [5, 5], [9], [6, 6], [10], [9], [9], [9], [], [10], [10], [7], [], [8], [10], [9], [10], [8], [10], [7], [8], [6, 6], [9], [7], [4, 8]]
[[9], [6, 6], [8], [8], [8], [9], [7], [9], [9], [8], [10], [10], [8], [7], [8], [], [10], [], [5, 5], [10], [8], [8], [7], [10], [9], [10], [8], [10], [4], [8], [10], [6, 6], [7], [9]]
[[8], [10], [], [10], [8], [8], [8], [9], [9], [8], [10], [8], [10], [7], [10], [9], [9], [6], [8], [8], [], [9], [10], [7], [9], [10], [6], [10], [4, 6], [7], [6], [7], [8], [5, 5], [8]]
-EndAllocation

Instance: [[1], [279], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [186, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [140, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 10, 10, 10, 10, 10, 10], [6], [6, 6, 6, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 10, 10]]
[[4, 5, 5, 7, 7, 7, 7, 10, 10], [7], [6, 6, 6, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 6, 8, 8, 8, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10], [], [6, 6, 6, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9]]
[[4, 5, 5, 9, 9, 10], [7, 7, 7, 7, 8, 10], [8, 8, 8, 10, 10], [7, 10], [9, 9, 9, 9, 10], [10], [6, 6, 6, 6, 10], [8, 8, 8, 8, 8]]
[[4, 5, 5, 7, 7, 7], [7, 7], [9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6], [8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9]]
[[4, 5, 8, 9, 9], [5, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [], [10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6]]
[[4, 5, 5, 7, 8], [8, 8, 8, 8], [10, 10, 10], [10, 10], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8, 8]]
[[4, 7, 9, 9], [5, 5, 6, 8], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [], [], [10, 10], [6, 6, 6, 9]]
[[5, 5, 8], [4, 8, 8, 8], [6, 6, 6, 6], [7, 10], [10, 10], [7, 7, 7, 7], [], [8, 8, 10], [10, 10], [9, 9, 9], [9, 9, 9], [10, 10], [8, 8, 8]]
[[8, 8, 10], [8, 8, 8], [8, 8, 10], [4, 7, 7, 7], [10], [5, 5, 7, 9], [7, 9, 10], [6, 6, 6, 6], [10], [10], [10], [9, 9], [9, 9], [8, 8, 10]]
[[8, 8, 8], [4, 5, 6, 6], [7, 7, 7], [5, 10, 10], [8, 10], [9, 10], [9, 10], [7, 7, 10], [9], [6, 6, 9], [8, 8, 9], [], [10], [9, 10], [8, 8, 8]]
[[4], [5, 5, 10], [9, 9], [10], [9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [7, 7, 7], [7, 7], [9, 9], [10, 10], [10, 10], [], [10, 10], [8, 8, 8]]
[[4, 5, 5, 8], [6, 8, 8], [8, 8], [9, 10], [9, 9], [10], [9, 10], [10], [7, 7, 7], [9, 9], [10], [8, 8], [10], [7, 7], [10, 10], [6, 6, 6], [8, 8]]
[[5, 8, 8], [4, 8, 8], [8, 8], [6, 7, 7], [9, 9], [8], [], [6, 6, 6], [9, 9], [7, 7, 7], [8, 8], [9, 9], [10, 10], [], [10, 10], [10, 10], [10, 10], [5]]
[[4, 8, 8], [8, 8], [5, 5, 7], [], [7, 7], [], [10, 10], [9, 9], [6, 7, 7], [9, 9], [10, 10], [], [8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8]]
[[8, 8], [8, 8], [5, 5, 6], [4, 7, 7], [9, 9], [9, 9], [7, 10], [7, 7], [10], [10], [10], [6, 6, 6], [10], [10], [9, 9], [10], [8], [10], [8, 8], [8, 8]]
[[4, 10], [8, 8], [8, 8], [5, 9], [7, 7], [9, 9], [5, 10], [9], [10], [7, 10], [10], [], [6, 10], [10], [7, 7], [8], [9, 9], [10], [6, 6, 6], [8, 8], [8, 8]]
[[7, 9], [8, 8], [8, 8], [5, 10], [5, 9], [6, 6], [8, 8], [7, 10], [4, 10], [], [9], [10], [10], [10], [7, 10], [9], [6, 6], [7, 9], [9], [8], [7, 10], [8, 8]]
[[6, 10], [8, 8], [8, 8], [5, 9], [4, 5, 7], [7, 10], [7, 10], [6, 9], [10], [10], [10], [10], [8, 8], [10], [], [7, 9], [7, 9], [8, 9], [9], [], [], [6, 6], [8, 8]]
[[7, 9], [6, 10], [4, 5, 7], [6, 10], [7, 9], [7, 8], [10], [5, 9], [6, 8], [10], [10], [8], [8], [10], [8], [9], [8], [8], [8], [6, 9], [8], [10], [7, 9], [10]]
[[4, 10], [5, 7], [10], [5, 9], [8, 8], [7, 8], [10], [8, 8], [10], [10], [9], [7, 9], [10], [7, 9], [9], [7], [], [6, 6], [9], [10], [10], [8, 8], [6, 6], [], [8, 8]]
[[4, 10], [8], [7, 7], [10], [6, 8], [6, 8], [9], [9], [6, 8], [10], [5, 9], [8], [9], [5, 9], [8], [8], [10], [10], [7], [10], [8], [9], [10], [7, 7], [10], [6, 8]]
[[4, 7], [6, 8], [5, 9], [10], [5, 9], [10], [10], [6, 8], [10], [9], [9], [8], [10], [10], [10], [7], [9], [8], [6, 8], [8], [9], [8], [8], [10], [7, 7], [7], [6, 8]]
[[5, 8], [10], [6, 7], [9], [4, 9], [10], [8], [6, 7], [10], [10], [6, 7], [8], [8], [9], [8], [10], [8], [5, 8], [8], [9], [10], [10], [7], [8], [9], [9], [6, 7], [10]]
[[10], [5, 8], [6, 7], [5, 8], [4, 8], [8], [8], [8], [10], [9], [9], [6, 7], [9], [8], [9], [10], [9], [9], [8], [10], [6, 7], [], [6, 7], [10], [8], [10], [10], [10], [7]]
[[8], [6, 7], [5, 8], [4, 7], [6, 7], [5, 8], [8], [6, 7], [8], [9], [8], [9], [], [10], [10], [8], [10], [9], [], [10], [6, 7], [10], [10], [10], [9], [10], [9], [8], [9], [8]]
[[7], [4, 8], [8], [5, 7], [10], [5, 7], [10], [9], [10], [9], [9], [7], [9], [7], [10], [6, 6], [10], [10], [8], [10], [8], [6, 6], [9], [10], [9], [8], [8], [8], [8], [8], []]
[[4, 8], [8], [5, 7], [8], [8], [8], [8], [8], [], [8], [5, 7], [6, 6], [9], [6, 6], [9], [9], [10], [10], [9], [9], [10], [], [10], [10], [9], [10], [8], [10], [10], [7], [7], [7]]
[[4, 8], [5, 7], [5, 7], [8], [8], [8], [8], [10], [8], [8], [10], [6, 6], [9], [9], [9], [9], [9], [10], [9], [10], [8], [10], [10], [], [10], [7], [], [10], [7], [6, 6], [7], [8], []]
[[10], [4, 8], [5, 7], [5, 7], [8], [9], [7], [8], [9], [9], [10], [9], [9], [8], [10], [7], [8], [8], [7], [8], [10], [], [8], [10], [], [10], [], [10], [6, 6], [], [10], [8], [6, 6], [9]]
[[8], [4, 6], [9], [8], [7], [5, 5], [7], [7], [9], [8], [9], [10], [9], [10], [9], [10], [10], [10], [7], [7], [10], [10], [8], [8], [6], [8], [8], [6], [], [10], [9], [], [6], [8], [8]]
-EndAllocation

Instance: [[1], [278], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 9, 9, 10, 10, 10, 10, 10]]
[[10], [7, 7, 9, 9, 10, 10, 10, 10, 10, 10], [8, 8, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10], [8, 8, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10], [7, 7, 10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10], [7, 7, 8, 8, 10, 10, 10], [9, 9, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10], [10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 10, 10, 10], [8, 8, 10, 10, 10], [7, 7, 10, 10, 10], [10, 10, 10, 10, 10]]
[[], [8, 8], [4, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 9, 9], [4, 10, 10, 10, 10], [7, 7, 10, 10, 10], [4, 10, 10, 10, 10], [10, 10, 10, 10]]
[[], [7, 7, 8, 8, 10], [9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [4, 10, 10, 10], [8, 8, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 10], [10, 10], [7, 7, 10, 10], [10, 10, 10], [4, 10, 10, 10]]
[[], [9, 9, 10], [10, 10, 10], [10, 10, 10], [10], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [10, 10, 10], [10, 10, 10], [7, 7, 8, 8], [4, 4, 10, 10]]
[[], [], [10, 10, 10], [10, 10, 10], [8, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4], [10], [10, 10, 10], [10, 10, 10], [8, 10, 10], [10, 10, 10], [4, 4, 7, 7, 10]]
[[], [10, 10], [10, 10], [8, 8, 9], [10], [4, 4, 10, 10], [9, 10, 10], [4, 10, 10], [4, 4, 4, 7, 7], [10, 10], [4, 4, 10, 10], [10, 10], [4, 4, 10, 10]]
[[], [10, 10], [10, 10], [7, 7, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 4, 4, 10], [9, 9], [10, 10], [10, 10], [8, 8, 10], [10, 10]]
[[], [10, 10], [10], [4, 4, 4, 4], [7, 8, 8], [10, 10], [7, 9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4]]
[[], [8, 8], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 10], [10, 10], [], [4, 4, 7, 7]]
[[], [], [10, 10], [10, 10], [9, 9], [10, 10], [4, 4, 4, 4, 4], [8, 8], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10], [10, 10], [7, 7], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [4, 4, 4, 4, 4], [10, 10], [7, 7], [10, 10], [10], [8, 8], [], [], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10]]
[[], [9, 9], [10], [10, 10], [10, 10], [8, 8], [10, 10], [], [10, 10], [4, 4, 4, 4, 4], [], [4, 7, 7], [10, 10], [], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4], [10, 10]]
[[10], [8, 10], [4, 4, 10], [10], [4, 4, 10], [8, 10], [4, 4, 10], [10], [10], [4, 4, 10], [10], [10], [10], [10], [7, 10], [10], [7, 10], [4, 4, 10], [10], [9, 9]]
[[10], [4, 4, 10], [10], [10], [4, 4, 10], [7, 7], [10], [10], [10], [10], [8, 10], [4, 4, 10], [9, 9], [10], [10], [4, 4, 10], [10], [10], [4, 4, 10], [8, 10], [10]]
[[9], [10], [10], [7, 10], [4, 10], [4, 10], [10], [10], [10], [9], [7, 10], [4, 10], [4, 10], [4, 10], [4, 10], [8, 8], [10], [4, 10], [4, 10], [10], [4, 10], [4, 10]]
[[10], [10], [10], [10], [7, 9], [4, 10], [4, 10], [10], [10], [10], [10], [10], [4, 10], [4, 10], [10], [10], [7, 10], [4, 9], [10], [8, 8], [4, 4, 4, 4], [10], [4, 10]]
[[10], [4, 9], [4, 10], [10], [4, 10], [7, 7], [10], [8, 8], [10], [10], [10], [10], [10], [4, 10], [4, 10], [10], [9], [10], [10], [4, 4, 4, 4], [4, 10], [10], [10], [10]]
[[10], [10], [10], [9], [4, 10], [4, 10], [10], [4, 4, 4, 4], [10], [10], [10], [10], [8, 8], [10], [9], [10], [10], [7, 7], [10], [10], [4, 4, 4, 4], [10], [10], [10], [10]]
[[10], [4, 4, 4], [10], [10], [4, 9], [4, 8], [10], [10], [10], [10], [4, 10], [10], [10], [10], [4, 4, 4], [10], [9], [10], [4, 10], [10], [7, 7], [10], [10], [10], [8], [10]]
[[10], [10], [4, 10], [10], [10], [4, 8], [4, 9], [7], [10], [], [10], [4, 10], [4, 4, 4], [9], [8], [10], [4, 7], [10], [10], [10], [10], [10], [4, 10], [10], [10], [10], [4, 10]]
[[10], [7], [8], [9], [10], [10], [10], [10], [10], [10], [10], [10], [4, 8], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10], [9], [10], [4, 4, 4], [10], [10], [10], [7]]
[[10], [10], [10], [8], [10], [10], [9], [10], [10], [4, 8], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [7], [4, 4], [10], [10], [10], [], [4, 9], [4, 4, 4], [10], [7], [10]]
[[10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [10], [4, 7], [10], [10], [10], [10], [10], [8], [10], [9], [7], [10], [], [10], [10], [4, 4, 4], [9], [8], [], [10], [10]]
[[], [8], [10], [10], [8], [10], [10], [10], [10], [10], [10], [10], [10], [7], [4, 4, 4], [4, 7], [10], [4, 4, 4], [10], [10], [10], [10], [], [10], [10], [10], [], [4, 4, 4], [9], [9], [10]]
[[10], [10], [7], [10], [10], [10], [10], [], [8], [10], [9], [10], [4, 4, 4], [9], [10], [10], [4, 4, 4], [10], [4, 4, 4], [10], [10], [10], [7], [10], [10], [10], [10], [], [], [10], [8], [4]]
[[10], [10], [10], [10], [4, 4, 4], [10], [4, 8], [10], [10], [], [7], [10], [10], [10], [], [9], [10], [], [], [], [10], [10], [10], [9], [4, 4, 4], [7], [4, 4, 4], [10], [10], [10], [10], [8], [10]]
[[10], [4, 4, 4], [10], [7], [10], [4, 4, 4], [10], [10], [10], [9], [8], [10], [10], [10], [8], [4, 4, 4], [7], [10], [10], [10], [4], [10], [10], [9], [], [10], [], [], [], [10], [10], [10], [], [10]]
[[10], [10], [4, 4], [4, 4], [10], [10], [], [8], [], [10], [10], [4, 4], [10], [], [10], [4, 4], [10], [10], [10], [], [10], [10], [4, 4], [7], [7], [9], [9], [10], [10], [10], [10], [8], [], [10], [10]]
-EndAllocation

Instance: [[1], [277], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 8, 8, 10], [4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 9, 10, 10, 10, 10, 10, 10]]
[[10, 10], [7, 7, 9, 10, 10, 10, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 8, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10], [5, 5, 8, 8, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10], [6, 7, 7, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10], [6, 7, 8, 10, 10, 10, 10], [7, 8, 9, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10], [5, 5, 10, 10, 10, 10]]
[[10], [5, 5, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10], [8, 9, 10, 10, 10], [8, 10, 10, 10, 10], [7, 7, 10, 10, 10], [6, 10, 10, 10, 10]]
[[8], [7, 7, 8], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 9], [10, 10, 10, 10], [6, 10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 10, 10, 10]]
[[], [7, 7, 8, 10], [9, 10], [4, 6, 10, 10, 10], [10, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 8], [5, 5, 10, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [4, 10, 10, 10], [8, 10, 10], [4, 4, 4, 4, 4, 4, 10], [9, 10, 10], [5, 5, 8, 10], [6, 7, 7, 10], [10, 10, 10], [4, 10, 10, 10]]
[[], [9, 10, 10], [10, 10, 10], [10, 10, 10], [10], [4, 4, 4, 4, 4, 4, 4, 4], [8, 10, 10], [5, 5, 6, 10], [10, 10, 10], [7, 7, 8, 10], [10, 10, 10]]
[[], [5], [6, 10, 10], [10, 10, 10], [5, 8, 9, 10], [4, 4, 4, 4, 4, 4, 4, 4], [10], [10, 10, 10], [10, 10, 10], [8, 10, 10], [10, 10, 10], [7, 7, 10]]
[[], [10, 10], [10, 10], [5, 5, 6, 8], [10, 10], [4, 10, 10], [8, 9, 10], [10, 10], [4, 4, 4, 7, 7], [10, 10], [4, 4, 10, 10], [10, 10], [4, 4, 10, 10]]
[[10, 10], [5, 5, 8], [10, 10], [7, 7, 10], [10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 10], [9, 10], [6, 10, 10], [10, 10], [8, 10], [10, 10]]
[[], [10, 10], [10], [4, 4, 4, 5, 5], [7, 7, 8], [10, 10], [9, 10], [10, 10], [10, 10], [10, 10], [4, 10, 10], [10, 10], [10, 10], [8, 10], [4, 4, 4, 4, 6]]
[[], [8, 10], [5, 5, 10], [10, 10], [4, 4, 4, 4, 4, 4], [8, 10], [9, 10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 10], [10, 10], [10, 10], [], [4, 4, 7, 7]]
[[], [], [10, 10], [10, 10], [9, 10], [10, 10], [4, 4, 4, 4, 4], [8, 10], [10, 10], [10, 10], [4, 4, 4, 10], [], [5, 5, 10], [6, 7, 7], [10, 10], [10, 10], [8, 10]]
[[], [10, 10], [4, 4, 4, 4, 4], [10, 10], [7, 7], [10, 10], [6, 10], [8], [], [], [4, 4, 4, 8], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 9], [10, 10], [10, 10]]
[[], [9, 10], [10, 10], [10, 10], [10], [8, 10], [10, 10], [], [10, 10], [4, 4, 4, 4, 4], [], [4, 7, 7], [10, 10], [], [6, 10], [10, 10], [8, 10], [4, 4, 10], [5, 5, 10]]
[[10], [10], [4, 4, 10], [10], [4, 4, 10], [8, 10], [4, 4, 10], [10], [10], [8, 10], [10], [10], [5, 10], [6, 10], [7, 10], [10], [7, 10], [4, 4, 10], [5, 10], [9]]
[[10], [4, 4, 10], [10], [10], [4, 4, 10], [7, 7], [10], [10], [10], [5, 10], [8, 10], [5, 10], [9], [6, 10], [10], [4, 4, 10], [10], [10], [4, 4, 10], [8, 10], [10]]
[[8, 9], [10], [10], [7, 7], [4, 10], [10], [10], [10], [10], [10], [10], [5, 10], [4, 10], [6, 10], [10], [4, 4, 8], [10], [4, 10], [4, 10], [5, 10], [4, 10], [4, 10]]
[[10], [6, 10], [10], [10], [10], [10], [4, 10], [10], [5, 5], [10], [4, 10], [10], [4, 8], [10], [7, 10], [10], [7, 10], [10], [10], [8, 9], [4, 4, 4, 4], [10], [4, 10]]
[[10], [4, 9], [10], [5, 5], [4, 10], [6, 10], [10], [7, 8], [10], [10], [10], [10], [10], [4, 10], [4, 10], [10], [10], [10], [10], [4, 4, 4, 4], [10], [10], [7, 8], [10]]
[[10], [10], [8], [9], [4, 10], [4, 10], [5, 5], [4, 10], [10], [6, 10], [4, 10], [10], [8], [10], [10], [10], [10], [7, 7], [10], [10], [4, 4, 4, 4], [10], [10], [10], [10]]
[[10], [4, 4, 4], [10], [10], [9], [4, 8], [10], [10], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [7, 7], [4, 10], [10], [5, 5], [10], [10], [10], [10], [6, 8]]
[[10], [10], [10], [10], [10], [4, 8], [4, 9], [10], [10], [], [10], [4, 10], [4, 4, 4], [10], [8], [10], [7, 7], [10], [10], [5, 5], [6], [10], [4, 10], [10], [10], [10], [4, 10]]
[[10], [7], [8], [9], [10], [10], [10], [5, 5], [10], [10], [10], [10], [8], [10], [4, 4, 4], [10], [10], [4, 4], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [6, 7]]
[[10], [10], [10], [8], [10], [10], [9], [10], [10], [4, 8], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [7], [4], [10], [10], [10], [10], [5, 5], [4, 4, 4], [10], [7], [6]]
[[10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 4, 4], [10], [10], [7], [10], [10], [10], [10], [10], [8], [10], [10], [7], [10], [], [10], [10], [4, 4], [9], [8], [6], [5, 5], [10]]
[[], [8], [10], [6], [8], [10], [10], [5], [10], [10], [10], [10], [10], [5, 7], [4], [4, 7], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [], [4, 4, 4], [9], [10], [10]]
[[10], [10], [7], [10], [10], [10], [10], [], [8], [10], [], [10], [4, 4, 4], [9], [10], [10], [4, 4, 4], [10], [4, 4], [10], [10], [10], [7], [10], [6], [10], [10], [10], [10], [5, 5], [8], []]
[[10], [10], [10], [6], [4, 4, 4], [10], [4, 8], [10], [5, 5], [], [7], [10], [10], [10], [10], [9], [10], [], [], [], [10], [10], [10], [10], [4], [7], [4, 4, 4], [10], [10], [10], [10], [8], [10]]
[[10], [4, 4, 4], [10], [7], [8], [4, 4], [10], [10], [10], [10], [8], [10], [10], [10], [6], [4, 4, 4], [7], [10], [10], [10], [10], [10], [10], [9], [], [5, 5], [], [], [], [10], [10], [10], [], [10]]
[[10], [10], [4, 4], [4, 4], [10], [5, 5], [], [8], [], [10], [10], [4, 4], [10], [], [10], [], [10], [10], [10], [], [10], [10], [4, 4], [10], [7], [9], [7], [10], [10], [10], [10], [8], [10], [6], [10]]
-EndAllocation

Instance: [[1], [276], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [184, 122, 92, 74, 61, 53, 46, 41, 37, 34, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [138, 92, 69, 56, 46, 40, 35, 31, 28, 26, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[2, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9]]
[[2, 4, 5, 6, 6, 6, 6, 9, 9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [8], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[2, 4, 5, 7, 7, 7, 7, 10], [6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[2, 4, 10, 10], [6, 6, 6, 6, 8], [7, 7, 7, 7, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 9, 9, 9, 9, 9]]
[[2, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [5, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9, 9]]
[[2, 4, 10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 6, 6, 6, 6, 8, 8], [], [8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[2, 4, 7, 7, 7, 7], [5], [8, 8, 8, 8, 8], [6, 6, 6, 6, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [9]]
[[2, 4, 6, 8, 8, 8], [8, 8, 8, 8], [7, 7, 7, 7, 9], [10, 10, 10], [], [], [5, 8, 8, 8, 8], [6, 10, 10, 10], [9, 9, 9, 9], [6, 6, 10, 10]]
[[2, 4, 8, 8, 8], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [5], [10, 10], [9, 9], [6, 6, 6, 6], [8, 8, 8, 8]]
[[2, 4, 8, 8], [8, 8, 8], [9, 9, 9], [10, 10], [7, 7, 7, 7], [8, 8, 8], [5], [6, 6, 6, 6], [9, 9], [10, 10, 10], [8, 8, 8], [10, 10, 10]]
[[2, 4, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [], [9, 9, 9], [10, 10], [9, 9], [7, 7, 7, 7], [5, 10, 10], [8, 8, 8]]
[[2, 4, 8, 8], [8, 8, 8], [8, 8, 8], [10], [10, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [7, 9, 10], [], [10, 10], [5, 9, 9], [9, 9], [8, 8, 8]]
[[2, 4, 8, 8], [5, 9], [7, 9, 9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [7, 7, 7], [8, 8, 8], [10, 10], [], [8, 8, 8], [10, 10]]
[[2, 4, 9, 9], [10, 10], [], [10, 10], [8, 8, 8], [8, 8, 8], [5, 9], [7], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8], [9, 9], [10, 10], [], [10, 10], [8, 8]]
[[2, 4, 6, 8], [6, 6, 6], [8, 8], [9, 9], [10, 10], [10, 10], [7], [10, 10], [8, 8], [9], [], [9, 9], [8, 8], [7, 7, 7], [5, 8, 8], [10, 10], [8, 8]]
[[2, 4, 5, 8], [8, 8], [8, 8], [8, 8], [9, 9], [6], [], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [9, 9], [10, 10], [], [7, 10], [9, 10], [10, 10], [8, 8]]
[[2, 4, 6, 8], [8, 8], [8, 8], [10, 10], [], [], [10, 10], [9, 9], [6, 7, 7], [], [10, 10], [9], [8, 8], [10, 10], [9, 9], [7, 7], [5, 6, 6], [8, 8], [8, 8]]
[[2, 4, 8], [8, 8], [6, 10], [7, 7], [9, 9], [7, 7], [10], [6, 6, 6], [10], [9], [8, 8], [5, 10], [10], [10], [8, 8], [10], [9, 9], [10], [8, 8], [8, 8]]
[[2, 4, 6, 6], [8, 8], [8, 8], [9, 9], [9], [], [], [10], [6, 10], [5], [10], [10], [8, 8], [7, 10], [7, 7], [8, 8], [9, 9], [7, 10], [6, 10], [8, 10], [8, 8]]
[[2, 4, 10], [8, 8], [8, 8], [10], [10], [], [8, 8], [8, 9], [10], [6, 10], [5, 10], [], [9], [9], [7, 7], [10], [6, 9], [7, 7], [8, 9], [8, 8], [6, 10], [6, 8]]
[[2, 4, 10], [8, 8], [8, 8], [10], [9], [10], [8, 8], [6, 6], [9], [9], [10], [9], [8, 8], [10], [5], [7, 7], [9], [8, 8], [10], [10], [6, 10], [7, 7], [6, 8]]
[[2, 4, 8], [8, 8], [8, 8], [7, 7], [9], [10], [10], [9], [8, 8], [10], [10], [], [9], [6, 6], [6, 6], [10], [9], [9], [10], [5, 10], [8, 8], [10], [7, 7], [8, 8]]
[[2, 4, 8], [8, 8], [9], [10], [10], [8, 8], [7, 7], [8, 8], [10], [], [5], [], [9], [6, 9], [7, 7], [10], [10], [6, 6], [9], [10], [9], [8, 8], [10], [8, 8], [6, 10]]
[[7, 7], [6, 8], [8], [7, 7], [8], [8], [8], [9], [9], [10], [8], [6, 8], [10], [9], [8], [10], [10], [8], [10], [6, 8], [9], [10], [4, 10], [2, 10], [6, 8], [5, 9]]
[[2, 10], [6, 8], [8], [8], [8], [9], [10], [7, 7], [8], [7, 7], [9], [10], [10], [6, 8], [9], [10], [10], [8], [6, 8], [9], [10], [8], [8], [6, 8], [5, 9], [10], [4]]
[[2, 8], [10], [8], [8], [8], [8], [10], [10], [9], [6, 7], [10], [8], [5, 8], [10], [9], [9], [8], [6, 7], [8], [6, 7], [10], [10], [8], [9], [10], [8], [4, 9], [6, 7]]
[[2, 8], [8], [8], [8], [8], [10], [7], [8], [10], [10], [10], [10], [7], [10], [9], [8], [9], [10], [9], [6, 6], [8], [10], [6, 7], [8], [6, 7], [9], [8], [5, 8], [4, 9]]
[[6, 6], [6, 7], [8], [8], [8], [9], [8], [7], [9], [8], [8], [10], [9], [9], [10], [10], [10], [8], [10], [8], [7], [8], [8], [10], [8], [10], [9], [5, 7], [10], [2, 4, 6]]
[[2, 8], [8], [8], [10], [8], [8], [8], [8], [10], [10], [8], [8], [9], [10], [6], [7], [7], [6, 6], [9], [10], [9], [10], [10], [8], [9], [7], [5, 7], [8], [9], [10], [4, 6]]
[[2, 8], [8], [5, 7], [8], [8], [8], [8], [10], [7], [10], [6, 6], [7], [7], [8], [8], [8], [8], [10], [10], [9], [10], [8], [], [10], [9], [10], [9], [9], [10], [6], [9], [4, 6]]
[[2, 9], [8], [8], [8], [8], [8], [9], [6, 6], [8], [10], [8], [6, 6], [10], [9], [], [9], [], [10], [10], [7], [8], [8], [10], [9], [10], [8], [5, 7], [8], [10], [7], [10], [7], [4]]
[[2, 8], [8], [8], [8], [8], [8], [10], [7], [7], [], [10], [10], [8], [8], [10], [10], [8], [], [8], [8], [7], [9], [10], [10], [5], [7], [9], [6, 6], [9], [9], [10], [6, 6], [9], [4]]
[[2, 8], [6], [8], [8], [8], [8], [8], [9], [7], [8], [9], [7], [4, 6], [8], [10], [8], [9], [10], [8], [8], [10], [10], [], [10], [7], [9], [5], [9], [10], [10], [7], [6], [10], [6], []]
-EndAllocation

Instance: [[1], [275], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [184, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [138, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[3, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[3, 5, 5, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [5, 6, 6, 6, 7, 9]]
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6], [5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3], [5, 5, 5, 5, 7, 7, 7, 7, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10]]
[[3, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 10, 10], [9, 9, 9, 9, 9, 9]]
[[3, 9, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8, 8, 8], [10], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 10]]
[[3, 10, 10, 10, 10], [], [9, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 8, 8, 8], [7, 7, 7, 7], [5, 5, 5, 5, 8, 9], [8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9], [9, 9, 9, 9], [], [10, 10, 10, 10], [6, 6, 7, 7, 7, 7], [10, 10, 10, 10], [6]]
[[3, 8, 10, 10], [6, 6, 6, 9], [8, 8, 8, 8], [5, 5, 5, 5, 10], [10, 10], [], [7, 7, 7, 7, 9], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8]]
[[3, 6, 8, 8, 8], [8, 8, 8, 8], [5, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [6, 6, 8, 8], [], [5], [5, 5, 10, 10], [9, 9, 9]]
[[3, 10, 10], [8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [10, 10, 10], [], [9, 9, 9], [6, 6, 6]]
[[3, 8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [9, 9, 9], [10, 10], [6, 6, 6], [], [10, 10], [10, 10], [9, 9, 9], [7, 7, 7, 7], [10, 10], [8, 8, 8]]
[[3, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [5, 5, 5, 5], [10, 10], [9, 9], [10, 10], [10, 10], [6, 6, 6, 8], [], [7, 9, 9], [9, 9], [7, 7, 7]]
[[3, 8, 8], [9, 9], [7, 9, 9], [10, 10], [10, 10], [5, 5, 5, 5], [6, 6, 6], [9, 9], [8, 8, 8], [], [7, 7, 7], [8], [10, 10], [10, 10], [8, 8, 8]]
[[3, 9, 9], [10, 10], [5, 5, 5, 5], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [7], [7, 7, 7], [6, 6, 6], [], [], [10, 10], [10, 10], [9, 9], [8, 8, 8]]
[[3, 8, 8], [8, 8], [8, 8], [6, 6, 6], [9, 9], [10, 10], [9, 9], [10, 10], [7, 7, 7], [9, 9], [], [8, 8], [10, 10], [7], [5, 5, 5, 5], [10, 10], [8]]
[[3, 8, 8], [8, 8], [8, 8], [7, 7, 7], [8], [9, 9], [], [6, 6, 6], [10, 10], [7], [10, 10], [9, 9], [10, 10], [], [5, 5, 5, 5], [10, 10], [9, 9], [8, 8]]
[[10, 10], [8, 8], [8], [], [7, 7], [], [10, 10], [9, 9], [9, 9], [6, 6, 6], [8, 8], [], [8, 8], [10, 10], [9, 9], [7, 7], [5, 5, 5, 5], [10, 10], [3, 8, 8]]
[[8, 8], [8, 8], [10], [6, 6, 6], [8, 8], [10], [], [5, 5, 5], [9, 9], [9, 9], [7, 10], [7, 10], [], [10], [7, 10], [10], [7, 10], [9, 9], [8, 8], [3, 5, 8]]
[[3, 5, 10], [8, 8], [9, 9], [10], [8, 10], [9, 9], [], [8, 8], [10], [10], [], [10], [7, 7], [10], [7, 7], [8, 8], [9, 9], [10], [6, 6, 6], [8, 8], [5, 5, 5]]
[[3, 8], [8, 8], [8, 8], [10], [], [5, 5, 5], [7, 10], [10], [5, 10], [7, 9], [6, 10], [9], [10], [6, 9], [10], [9], [7, 7], [8, 8], [9], [9], [6, 10], [8, 8]]
[[3, 10], [8, 8], [8, 8], [10], [9], [9], [10], [6, 6], [9], [9], [10], [10], [10], [5, 5, 5], [10], [7, 7], [7, 7], [8, 8], [9], [8, 8], [9], [6, 10], [5, 8]]
[[3, 5, 8], [8, 8], [7, 7], [8, 8], [9], [10], [6, 6], [9], [10], [9], [10], [], [5, 5, 5], [9], [6, 9], [10], [9], [10], [10], [10], [8, 8], [10], [7, 7], [8, 8]]
[[5, 9], [9], [10], [6, 8], [5, 8], [6, 8], [9], [8], [8], [10], [10], [10], [10], [9], [7, 7], [9], [8], [6, 8], [5, 8], [7, 7], [8], [10], [10], [3, 10], [5, 9]]
[[3, 10], [5, 9], [7, 7], [10], [10], [5, 9], [5, 8], [6, 6], [9], [10], [6, 8], [10], [8], [10], [8], [7, 7], [8], [9], [8], [10], [9], [8], [9], [10], [8], [5, 8]]
[[3, 9], [10], [5, 5], [9], [10], [9], [8], [7, 7], [8], [8], [6, 8], [10], [10], [6, 6], [9], [9], [7, 7], [8], [5, 8], [10], [10], [8], [8], [5, 9], [8], [10], [10]]
[[5, 8], [5, 8], [6, 7], [8], [6, 6], [8], [5, 8], [10], [8], [8], [10], [10], [8], [10], [9], [9], [7], [9], [8], [7], [10], [10], [9], [9], [10], [5, 7], [10], [3, 9]]
[[3, 7], [8], [9], [5, 8], [8], [8], [9], [9], [10], [10], [8], [10], [9], [10], [10], [9], [7], [7], [9], [6, 6], [5, 5], [8], [10], [10], [8], [6, 7], [10], [8], [5, 8]]
[[5, 8], [7], [8], [8], [9], [5, 8], [], [8], [9], [8], [8], [10], [8], [8], [10], [10], [10], [9], [10], [9], [7], [7], [9], [9], [10], [6, 7], [6, 6], [5, 5], [10], [3, 10]]
[[5, 7], [8], [8], [8], [6], [], [5, 7], [8], [9], [10], [9], [10], [10], [8], [9], [6, 6], [8], [9], [7], [10], [10], [5, 5], [9], [8], [10], [10], [8], [7], [9], [10], [3, 8]]
[[3, 7], [7], [8], [8], [7], [8], [6, 6], [9], [8], [10], [10], [8], [8], [5, 5], [5, 5], [], [9], [10], [10], [10], [9], [8], [9], [10], [10], [9], [9], [7], [10], [6], [8], [8]]
[[3, 8], [7], [8], [7], [7], [8], [9], [5, 5], [6, 6], [9], [6], [9], [], [10], [], [8], [10], [9], [10], [8], [8], [10], [10], [9], [10], [8], [10], [9], [8], [5, 5], [10], [8], [7]]
[[3, 7], [8], [8], [8], [7], [9], [8], [9], [9], [8], [10], [7], [8], [7], [8], [], [10], [], [9], [10], [], [8], [10], [10], [5, 5], [10], [10], [9], [9], [10], [6], [6, 6], [5, 5], [8]]
[[8], [8], [8], [8], [], [8], [8], [9], [], [10], [7], [6], [9], [7], [10], [8], [8], [9], [10], [9], [9], [10], [8], [10], [7], [9], [5, 5], [10], [10], [10], [7], [5, 5], [6], [6], [3]]
-EndAllocation

Instance: [[1], [274], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [182, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [137, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 9, 9, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6], [5, 5, 5, 5, 8, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[6, 10], [7, 7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 8, 8], [9, 9, 9, 9, 9, 9, 10]]
[[6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[6], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 9]]
[[6, 10, 10, 10, 10], [10, 10], [9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6], [8, 8, 8, 8, 8], [7, 7, 7, 7], [8, 9], [8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 9, 9, 9, 9], [7, 7, 7, 9, 9], [], [8, 8, 10, 10], [5, 5, 5, 6, 6, 6, 7], [10, 10, 10, 10], []]
[[8, 8, 8, 9], [6, 6, 6], [8, 8, 8, 8], [5, 5, 5, 5, 6], [10, 10, 10], [], [7, 7, 7, 7, 9], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8]]
[[6, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6], [10, 10, 10], [9, 9, 9], [5, 5, 5, 5], []]
[[6, 8, 8, 8], [6, 6, 8, 8], [5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [], [], [9, 9, 9], [6, 8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 6], [9, 9, 9], [10, 10], [6, 6, 6], [], [8, 10, 10], [], [9, 9, 9], [7, 7, 7, 7], [8, 10, 10], [8, 8, 8]]
[[6, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [], [10, 10], [9, 9], [8, 8, 8], [10, 10], [6, 6, 6], [9, 9], [5, 5, 5, 5], [7, 9, 9], [7, 7, 7]]
[[6, 8, 8], [7, 9, 9], [9, 9], [10, 10], [10, 10], [5, 5, 5, 5], [6, 6, 6], [9, 9], [8, 8, 8], [], [7, 7, 7], [], [10, 10], [8, 8, 8], [8, 8, 8]]
[[6, 8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [7], [7, 7, 7], [9, 9], [], [], [9, 9], [6, 6, 6], [10, 10], [8, 8, 8]]
[[6, 8], [8, 8], [8, 8], [6, 6, 6], [7, 9], [10, 10], [9, 9], [10, 10], [7, 7, 7], [8, 8], [9], [8, 8], [9, 9], [], [5, 5, 5, 5], [10, 10], [8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [7, 7, 7], [8, 8], [], [], [6, 6, 6], [10, 10], [7, 8], [10, 10], [9, 9], [10, 10], [], [5, 5, 5, 6], [9, 9], [9, 9], [8, 8]]
[[10, 10], [8, 8], [8, 8], [], [7, 7], [], [10, 10], [9, 9], [9, 9], [6, 6, 6], [8, 8], [], [8, 8], [10, 10], [9, 9], [6, 7, 7], [5, 5, 5, 5], [8], [8, 8]]
[[6, 8], [8, 8], [], [6, 6, 6], [8, 8], [7, 10], [9, 9], [5, 5, 5], [8, 10], [9, 9], [7, 10], [], [5, 10], [], [10], [8, 10], [7, 7], [9, 9], [8, 8], [8, 8]]
[[6, 9], [8, 8], [8, 8], [10], [8, 10], [9, 9], [], [], [5, 10], [7, 7], [], [10], [7, 7], [10], [5, 5, 5], [8, 8], [9, 9], [8, 10], [6, 6, 6], [8, 8], [8, 9]]
[[6, 8], [8, 8], [8, 8], [9], [5], [5, 5, 5], [10], [10], [10], [7, 9], [6, 9], [], [10], [6, 6], [9], [7, 10], [7, 7], [8, 8], [10], [8, 9], [8, 9], [8, 8]]
[[8, 8], [8, 8], [10], [6, 10], [5], [10], [10], [6, 6], [9], [9], [9], [9], [9], [5, 5, 5], [9], [7, 7], [7, 7], [8, 8], [10], [8, 8], [10], [6, 8], [8, 8]]
[[8, 8], [8, 8], [9], [8, 8], [5, 10], [10], [6, 6], [9], [9], [], [10], [], [5, 5, 5], [], [10], [10], [6, 8], [9], [7, 9], [6, 10], [8, 8], [7, 9], [7, 7], [8, 8]]
[[5, 8], [6, 8], [8], [10], [10], [7, 7], [8], [5, 8], [9], [9], [9], [10], [10], [5, 8], [9], [9], [10], [6, 8], [8], [8], [6, 8], [6, 8], [10], [5, 9], [7, 7]]
[[5, 9], [8], [8], [6, 8], [8], [9], [8], [6, 8], [8], [10], [7, 7], [10], [9], [9], [8], [10], [5, 7], [5, 7], [10], [9], [8], [6, 8], [5, 9], [10], [6, 8], [10]]
[[6, 8], [5, 9], [5, 9], [9], [10], [9], [10], [7, 7], [8], [8], [6, 8], [10], [10], [6, 6], [9], [], [7, 7], [10], [5, 8], [8], [9], [8], [8], [8], [5, 8], [10], [8]]
[[5, 8], [8], [6, 7], [7], [8], [5, 8], [8], [8], [9], [9], [10], [5, 6], [10], [6, 7], [8], [8], [5, 8], [9], [9], [8], [10], [10], [8], [10], [10], [9], [9], [6, 7]]
[[5, 8], [8], [8], [5, 8], [8], [9], [9], [8], [10], [7], [9], [10], [9], [10], [10], [8], [8], [8], [7], [6, 6], [5, 8], [10], [10], [9], [8], [7], [9], [6, 7], [5, 6]]
[[9], [5, 8], [8], [7], [8], [8], [8], [8], [9], [8], [5, 8], [10], [9], [9], [10], [10], [10], [7], [10], [9], [7], [7], [8], [9], [8], [8], [6, 6], [5, 5], [6, 6], [10]]
[[10], [7], [8], [8], [7], [8], [10], [8], [9], [8], [9], [9], [10], [8], [8], [6, 6], [6], [9], [8], [10], [10], [5, 5], [9], [8], [9], [7], [5, 7], [8], [5, 6], [10], [8]]
[[8], [8], [8], [8], [8], [7], [6, 6], [9], [8], [6], [5, 5], [8], [9], [5, 5], [6], [10], [9], [10], [8], [8], [8], [7], [9], [10], [10], [9], [9], [8], [10], [10], [7], [7]]
[[8], [8], [7], [8], [8], [8], [9], [5, 5], [6, 6], [8], [8], [9], [], [7], [8], [8], [10], [9], [10], [6], [8], [10], [10], [9], [10], [7], [10], [5, 5], [9], [7], [6], [9], [8]]
[[8], [8], [8], [8], [8], [8], [5, 5], [9], [9], [], [10], [7], [8], [7], [8], [], [10], [], [7], [9], [6], [8], [9], [10], [9], [10], [10], [5, 7], [9], [8], [10], [6, 6], [5, 6], [8]]
[[8], [5, 5], [8], [8], [8], [8], [8], [9], [], [10], [7], [8], [], [10], [10], [8], [8], [9], [8], [9], [9], [10], [6], [10], [7], [9], [9], [7], [6], [10], [7], [5, 5], [6], [6], [8]]
-EndAllocation

Instance: [[1], [273], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,35. UB Alg: [182, 121, 92, 73, 61, 52, 46, 41, 37, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [137, 91, 69, 55, 46, 39, 35, 31, 28, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 10]]
[[4, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4], [5, 5, 5, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9]]
[[4, 6, 6, 6, 6, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [5, 5, 5, 9], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[4, 9, 10, 10, 10], [10], [9, 9, 10, 10], [6, 6, 6, 6], [8, 8, 8, 8, 8], [7, 7, 7, 7, 8], [5, 5, 5, 9, 9, 9], [8, 8, 8, 8, 8]]
[[4, 7, 8, 8, 8], [8, 8, 8], [8, 8, 10, 10], [7, 7, 7, 9, 9], [8, 8, 8], [5, 5, 5], [10, 10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 6]]
[[4, 5, 8, 8, 8], [5, 8, 8, 8, 8], [9, 9, 9, 9], [9], [10, 10, 10], [7], [8, 8, 8, 8], [7, 7, 7, 9], [10, 10, 10], [5, 6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8, 8], [4, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [9, 9, 9], [], [8, 8, 8, 8], [5, 6, 6, 6, 6], [5, 5, 7, 7, 7]]
[[10, 10, 10], [4, 8, 8], [5, 5, 5], [10, 10, 10], [], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [8, 8, 8]]
[[4, 8, 8], [8, 8, 8], [5, 5, 5], [9, 9, 9], [6, 6, 6, 6], [7, 7, 7, 7], [], [10, 10], [10, 10], [9, 9, 9], [8, 8, 8], [10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [4, 7, 8], [8, 8, 8], [], [9, 9], [8, 9, 9], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [5, 5, 5], [9, 9], [7, 7, 7]]
[[8, 8, 8], [7, 9, 9], [4, 9, 9], [8, 8], [10, 10], [5, 5, 5], [6, 6, 6, 6], [10, 10], [], [8, 8, 8], [9, 9], [10, 10], [], [7, 7, 7], [8, 8, 8]]
[[7, 8, 8], [4, 10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [], [6, 6, 6, 6], [10, 10], [5, 5, 5], [7, 7, 7], [9, 9], [], [9, 9], [], [10, 10], [8, 8, 8]]
[[4, 8, 8], [8, 8], [9, 9], [8, 8], [10, 10], [10, 10], [8, 8], [10, 10], [7, 7, 7], [7, 8], [], [9, 9], [9, 9], [], [5, 5, 5], [6, 6, 6], [6, 8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [7, 7, 7], [5, 5, 5], [], [8], [6, 6, 6], [10, 10], [10, 10], [6], [7], [8, 8], [10, 10], [9, 9], [9, 9], [9, 9], [8, 8]]
[[4, 8, 8], [8], [8, 8], [6], [7, 7], [8, 8], [10, 10], [], [9, 9], [5, 5, 5], [10, 10], [], [7, 7], [9, 9], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8]]
[[8, 8], [8, 8], [6, 10], [7, 7], [9, 9], [7, 10], [9, 9], [4, 6, 6], [6, 10], [10], [8], [5, 5, 5], [], [], [8, 8], [10], [9, 9], [7, 10], [8, 8], [8, 8]]
[[7, 10], [8, 8], [8, 8], [7, 10], [4, 10], [9], [10], [], [5, 5, 5], [10], [9], [9], [6, 6], [9], [7, 7], [8, 8], [8, 9], [6, 10], [6, 9], [8, 8], [8, 8]]
[[8, 8], [4, 6], [8, 8], [10], [10], [6, 9], [10], [8, 9], [10], [7, 7], [10], [10], [8, 9], [9], [5, 9], [7, 7], [6, 6], [8, 8], [], [8, 9], [5, 5], [8, 8]]
[[8, 8], [7, 8], [4, 10], [10], [], [9], [10], [6, 6], [9], [9], [10], [8, 8], [], [5, 5, 5], [6, 9], [7, 7], [10], [8, 8], [7, 9], [6, 9], [10], [8, 8], [8, 8]]
[[6, 9], [4, 9], [8, 8], [8, 8], [6, 6], [10], [8, 8], [10], [10], [], [10], [9], [6, 9], [5, 5, 5], [7, 7], [], [9], [8, 8], [9], [10], [8], [7, 7], [10], [8, 8]]
[[4, 9], [5, 8], [10], [5, 9], [6, 8], [6, 8], [10], [8], [10], [8], [9], [9], [10], [7, 7], [8], [5, 8], [8], [6, 8], [10], [10], [8], [9], [7, 7], [6, 8], [9]]
[[5, 8], [4, 10], [6, 8], [8], [9], [8], [10], [6, 6], [10], [9], [8], [7, 7], [9], [10], [8], [10], [9], [8], [8], [8], [9], [5, 9], [5, 8], [10], [7, 7], [6, 8]]
[[6, 8], [4, 10], [8], [8], [9], [9], [10], [9], [10], [9], [6, 6], [10], [10], [7, 7], [8], [8], [7, 7], [8], [5, 8], [8], [10], [8], [9], [9], [5, 5], [8], [6, 8]]
[[4, 8], [5, 8], [9], [5, 8], [8], [6], [5, 8], [10], [10], [8], [10], [6, 7], [8], [9], [10], [8], [9], [10], [9], [8], [9], [6, 7], [6, 7], [8], [8], [10], [9], [7]]
[[4, 8], [8], [8], [8], [9], [9], [7], [10], [10], [10], [5, 8], [8], [7], [10], [8], [9], [7], [7], [9], [6, 6], [8], [10], [8], [9], [6, 6], [10], [5, 8], [5, 8], [9]]
[[6, 6], [5, 7], [8], [8], [8], [8], [7], [10], [9], [9], [10], [9], [8], [10], [10], [8], [9], [8], [6, 6], [8], [5, 5], [8], [9], [8], [8], [10], [7], [9], [10], [4, 7]]
[[4, 8], [7], [8], [8], [8], [8], [10], [10], [8], [7], [5, 7], [9], [10], [8], [], [6, 6], [5, 5], [9], [8], [10], [9], [6, 6], [8], [9], [8], [9], [10], [7], [9], [10], [8]]
[[8], [8], [7], [7], [8], [5, 5], [6, 6], [9], [7], [10], [8], [8], [9], [8], [8], [7], [9], [10], [], [10], [10], [6, 6], [9], [5], [10], [8], [8], [9], [10], [8], [9], [4, 8]]
[[8], [8], [8], [7], [8], [8], [7], [5, 5], [8], [7], [], [6, 6], [10], [9], [10], [9], [8], [], [10], [8], [8], [8], [10], [9], [10], [9], [9], [8], [9], [6, 6], [10], [5, 7], [4]]
[[4, 8], [8], [8], [8], [5, 7], [8], [7], [9], [9], [], [10], [7], [], [8], [8], [8], [10], [], [], [7], [10], [8], [9], [10], [9], [10], [8], [5, 5], [6, 6], [9], [10], [6, 6], [9], [8]]
[[8], [8], [8], [8], [8], [8], [8], [4, 5], [6], [10], [], [8], [9], [7], [], [8], [9], [10], [9], [8], [9], [10], [9], [10], [7], [9], [6], [6], [10], [10], [7], [5, 5], [7], [6], [8]]
-EndAllocation

Instance: [[1], [288], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [192, 128, 96, 77, 64, 56, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [144, 96, 72, 58, 48, 42, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 7, 7], [7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 9, 9], [10, 10, 10, 10, 10, 10, 10], [10]]
[[5, 5, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8]]
[[6, 6, 7, 7, 7, 7], [6, 6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8], [5, 5, 8, 8, 8, 8], [10, 10, 10, 10], [9, 10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10], [9, 9, 9, 9, 9]]
[[5, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 9, 9], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10]]
[[5, 8, 8, 8, 8], [5, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10], [10, 10, 10], [9, 9], [8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[5, 5, 8, 8, 9], [9, 10, 10], [6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [], [7, 7, 7, 7]]
[[5, 6, 9, 9], [5, 9, 9, 9], [8, 8, 9], [], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [], [10, 10, 10], [10, 10], [8, 8, 8, 8], [10, 10, 10]]
[[5, 5, 9, 9], [6, 8, 8, 8], [10, 10, 10], [], [], [7, 7, 7, 7], [8], [10, 10, 10], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6, 6], [9, 10, 10], [8, 8, 8]]
[[8], [8, 8, 8], [5, 10, 10], [8, 8, 8], [5], [10, 10], [6, 6], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[8, 8, 8], [7, 9, 9], [5, 10, 10], [5, 6, 8], [7, 7, 7], [6, 6, 6, 6], [9, 9], [], [9, 9], [6, 10, 10], [8, 8, 8], [], [10, 10], [10, 10], [8, 8, 8]]
[[5, 6, 9], [10], [6, 6, 6, 6], [7, 7, 7], [5, 9, 10], [8, 10], [9, 10], [10], [7, 10], [10], [9], [8, 8, 8], [6, 9, 9], [8, 8, 8], [10], [8, 8, 8]]
[[5, 6, 6], [8, 8], [8, 8], [9, 9], [9, 9], [7, 10], [9, 9], [10], [6, 6, 10], [7, 7, 7], [10, 10], [8, 8], [8, 8], [10], [10], [6, 6, 10], [5, 8, 8]]
[[5, 5], [8, 8], [8, 8], [9, 9], [10, 10], [6, 6, 6], [10, 10], [9, 9], [8, 8], [6, 6, 6], [7, 7, 7], [8, 8], [9, 9], [10, 10], [], [7], [10, 10], [8, 8]]
[[6, 6, 6], [5, 8, 8], [8, 8], [6, 6, 6], [9, 9], [7, 7, 7], [], [10, 10], [], [10, 10], [9, 9], [], [8, 8], [10, 10], [9, 9], [10, 10], [7], [8, 8], [5, 8, 8]]
[[5, 5], [8, 8], [], [7, 7], [9, 9], [8, 8], [10, 10], [7, 7], [], [10, 10], [8, 8], [6, 6, 6], [9, 9], [6, 6, 6], [9, 9], [], [10, 10], [10, 10], [8, 8], [8, 8]]
[[9, 9], [5, 5, 6], [8, 8], [], [8, 8], [10], [10], [10], [10], [10], [10], [9, 9], [7, 7], [6, 10], [7, 7], [8, 8], [9, 9], [6, 10], [6, 6, 6], [8, 8], [8, 8]]
[[8], [5, 5, 8], [8], [8, 10], [8], [6, 6, 6], [8], [9, 9], [10], [6, 6, 6], [8, 10], [10], [], [7, 7], [9, 9], [7, 7], [10], [8, 10], [10], [9, 9], [8, 10], [8]]
[[8, 9], [8, 8], [10], [5, 5], [6, 10], [10], [8, 9], [6, 6], [8, 8], [10], [7, 7], [10], [10], [10], [6, 9], [7, 7], [9], [8, 8], [9], [10], [9], [6, 6], [8, 8]]
[[8, 8], [5, 9], [5, 9], [10], [10], [6, 10], [10], [10], [8, 8], [10], [6, 9], [8], [6, 6], [9], [6, 6], [8], [9], [9], [10], [7, 7], [8, 8], [10], [7, 7], [8, 8]]
[[5, 5, 6], [10], [8, 8], [6, 10], [10], [7, 7], [8, 8], [9], [10], [10], [9], [], [8, 8], [7, 7], [6, 9], [], [8, 8], [], [10], [9], [6, 9], [10], [6, 10], [6, 9], [8, 8]]
[[8, 8], [8, 8], [9], [9], [10], [10], [], [6, 6], [9], [8, 8], [], [6, 10], [6, 6], [10], [9], [9], [9], [8, 8], [10], [7, 7], [8, 8], [10], [7, 7], [10], [10], [5, 5, 6]]
[[5, 8], [5, 8], [9], [6, 8], [10], [9], [6, 6], [6, 8], [10], [6, 8], [9], [8], [8], [10], [6, 8], [10], [9], [7, 7], [10], [9], [10], [9], [7, 7], [10], [8], [10], [8]]
[[5, 8], [7, 7], [7, 7], [6, 6], [10], [6, 8], [10], [10], [10], [10], [5, 8], [8], [9], [9], [8], [10], [8], [9], [8], [8], [9], [8], [6, 8], [9], [6, 6], [9], [10], [10]]
[[8], [5, 8], [6, 7], [5, 8], [10], [10], [9], [9], [10], [10], [10], [8], [8], [8], [8], [8], [9], [9], [6, 7], [6, 7], [6, 7], [10], [10], [10], [6, 6], [8], [9], [8], [9]]
[[9], [9], [9], [5, 8], [5, 8], [8], [10], [6, 7], [8], [8], [], [10], [10], [6, 7], [10], [8], [8], [10], [6, 6], [6, 7], [10], [8], [9], [9], [8], [10], [10], [9], [8], [6, 7]]
[[6, 6], [5, 8], [5, 8], [6, 7], [9], [10], [8], [8], [10], [9], [10], [9], [10], [9], [9], [8], [10], [9], [6, 7], [10], [8], [8], [8], [10], [6, 7], [8], [6], [7], [8], [10], []]
[[8], [8], [8], [8], [5, 7], [10], [5, 7], [8], [10], [6, 6], [9], [6, 6], [10], [9], [10], [9], [9], [9], [10], [7], [10], [7], [9], [8], [6, 6], [8], [8], [8], [10], [10], [], [8]]
[[8], [10], [10], [8], [7], [8], [8], [8], [8], [7], [], [6, 6], [7], [9], [10], [10], [10], [8], [10], [8], [9], [9], [8], [9], [10], [9], [7], [6, 6], [9], [6, 6], [10], [5, 5], [8]]
[[8], [8], [8], [6, 6], [7], [10], [10], [], [9], [8], [10], [8], [8], [9], [10], [7], [], [7], [9], [8], [8], [9], [7], [10], [8], [10], [9], [10], [5, 5], [6, 6], [10], [6, 6], [9], [8]]
[[10], [5, 7], [8], [8], [8], [8], [5], [9], [], [10], [7], [10], [10], [10], [10], [], [8], [9], [7], [7], [6, 6], [], [9], [8], [6, 6], [8], [9], [9], [8], [10], [9], [10], [8], [6, 6], [8]]
[[8], [8], [8], [10], [6], [8], [8], [10], [9], [8], [6], [6], [9], [10], [9], [8], [7], [10], [8], [7], [10], [10], [9], [], [7], [6], [10], [8], [9], [7], [6], [9], [6], [5, 5], [8], [10]]
-EndAllocation

Instance: [[1], [287], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [192, 128, 96, 77, 64, 54, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [144, 96, 72, 58, 48, 41, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10]]
[[5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[5, 5, 10], [6, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 8, 8], [10, 10, 10, 10, 10, 10, 10], [5, 5, 9, 9]]
[[5, 5, 6, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [], [7, 7, 7, 7, 7, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8]]
[[5, 5, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[5, 8, 8, 8, 8, 8], [5, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 8], [], [10, 10, 10], [6, 6, 6, 6, 6, 9], [10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [7, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7, 8], [10, 10, 10], [5, 5]]
[[8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9], [7, 7, 7, 7, 7], [5, 5, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [10]]
[[5, 5, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [], [9, 9], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [10], [6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[5, 5, 8, 8], [8, 10, 10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 7, 7], [], [10, 10], [9, 9, 9], [7]]
[[5, 5, 8, 8], [8, 8, 8], [7], [], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [10], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [5, 5, 9, 9], [9], [8, 8], [10, 10], [7, 7, 7, 7], [8, 8, 8], [10, 10], [], [10, 10], [9, 9, 9], [6, 7, 10]]
[[8, 8, 8], [5, 5, 6, 9], [10, 10], [9], [7, 7, 7], [6, 6, 6, 6], [8, 8, 9], [9, 10], [9], [9], [8, 8, 8], [10, 10], [7, 7], [10, 10], [8, 8, 8]]
[[5, 8, 8], [5, 10], [10, 10], [7, 7, 7], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9], [9, 9], [9, 9], [], [10, 10], [], [8, 8, 8], [6, 7, 7], [8, 8, 8]]
[[5, 8, 8], [6, 8, 8], [6, 8, 8], [9, 9], [10], [], [9, 9], [7, 7], [6, 6, 6], [7, 7, 7], [8], [9, 9], [8, 8], [10, 10], [10, 10], [10, 10], [5, 8, 8]]
[[5, 5, 9], [8, 8], [8, 8], [9], [9, 9], [6, 6, 8], [7], [], [9, 9], [7, 7, 7], [8, 8], [8, 8], [10, 10], [10, 10], [10, 10], [7, 10], [6, 6, 6], [8, 8]]
[[7, 7, 7], [5, 5, 8], [8, 8], [6, 6, 9], [7, 9], [7], [10, 10], [6, 6, 6], [], [10, 10], [9, 9], [], [8, 8], [10, 10], [9, 9], [10], [8, 8], [8, 8], [8, 8]]
[[8, 8], [5, 5, 8], [7], [6, 6, 6], [8, 8], [6, 6], [10], [9, 9], [10, 10], [9, 9], [7, 7], [10, 10], [8, 8], [], [8, 8], [10, 10], [7, 7], [], [9, 9], [8, 8]]
[[7, 7], [8, 8], [8, 10], [7, 7], [9, 9], [5, 5, 8], [10], [8, 8], [], [7, 10], [], [8, 8], [6, 6], [10], [6, 6, 6], [9, 9], [9, 9], [10], [10], [8, 10], [8, 8]]
[[5, 5, 7], [8, 8], [8, 8], [7, 10], [7], [6, 6, 6], [10], [9, 9], [10], [6, 6], [8, 10], [8, 10], [10], [7], [9, 9], [10], [], [8, 8], [], [9, 9], [8, 8], [7, 8]]
[[5, 9], [8, 8], [8, 8], [6, 7], [9], [10], [10], [6, 6], [8, 8], [10], [7, 7], [5, 9], [10], [10], [6, 9], [7, 7], [10], [8, 8], [8, 8], [9], [10], [6, 9], [8]]
[[5, 10], [8, 8], [7, 8], [10], [5, 10], [], [9], [10], [10], [8, 8], [6, 6], [9], [6, 6], [8, 8], [7, 9], [], [9], [10], [9], [7, 7], [8, 8], [7, 9], [6, 10], [8, 8]]
[[5, 5], [8, 8], [8, 8], [8, 8], [10], [7, 7], [], [9], [10], [10], [6, 9], [], [8, 8], [7, 7], [6, 9], [], [8, 8], [10], [10], [10], [6, 9], [9], [6, 10], [6, 9], [7, 8]]
[[5, 9], [8, 8], [8, 8], [9], [], [5, 9], [8, 8], [], [9], [8, 8], [7, 7], [10], [], [10], [9], [9], [10], [10], [10], [6, 6], [7, 7], [10], [6, 6], [8, 8], [6, 10], [7, 8]]
[[5, 9], [10], [5, 9], [6, 8], [10], [8], [6, 8], [7, 7], [8], [6, 8], [9], [8], [9], [10], [8], [9], [8], [10], [8], [7], [6, 8], [10], [9], [7, 7], [10], [10], [6, 8]]
[[5, 8], [6, 8], [7], [6, 8], [8], [8], [6, 8], [6, 6], [8], [9], [10], [10], [10], [10], [7, 7], [9], [9], [9], [8], [7, 7], [10], [10], [8], [8], [10], [9], [9], [5, 8]]
[[10], [6, 7], [9], [6, 7], [10], [5, 8], [6, 7], [8], [6, 7], [8], [8], [10], [8], [9], [9], [10], [8], [10], [9], [9], [6, 7], [10], [8], [8], [9], [10], [8], [8], [5, 8]]
[[9], [8], [10], [10], [8], [9], [10], [8], [8], [8], [6, 7], [8], [6, 7], [10], [9], [9], [9], [10], [9], [6, 7], [7], [8], [10], [8], [8], [5, 7], [6, 6], [5, 8], [8], [10]]
[[5, 8], [10], [9], [10], [5, 8], [8], [9], [10], [8], [8], [6, 6], [10], [8], [8], [6, 6], [9], [7], [9], [7], [7], [8], [6, 7], [8], [10], [9], [8], [10], [8], [9], [7], [10]]
[[8], [8], [8], [8], [8], [10], [8], [5, 7], [9], [5, 6], [9], [6, 6], [9], [7], [10], [8], [9], [8], [7], [8], [10], [10], [8], [7], [6, 6], [10], [9], [7], [10], [10], [9], [8]]
[[8], [8], [8], [5, 6], [8], [8], [5, 7], [9], [7], [10], [8], [6, 6], [8], [9], [10], [7], [10], [], [10], [7], [9], [9], [7], [9], [10], [9], [8], [8], [8], [6, 6], [8], [10], [10]]
[[6, 6], [8], [8], [8], [], [10], [8], [8], [9], [5, 7], [6, 6], [10], [10], [9], [9], [5, 7], [9], [8], [10], [9], [10], [8], [], [9], [10], [7], [8], [8], [6], [8], [10], [7], [8], [7]]
[[10], [8], [8], [8], [5, 7], [5, 7], [9], [8], [8], [9], [8], [8], [9], [9], [10], [7], [9], [10], [9], [8], [8], [10], [7], [10], [7], [], [], [10], [8], [6], [], [10], [6, 6], [6, 6], [8]]
[[6], [7], [6], [7], [7], [8], [10], [10], [10], [8], [10], [8], [10], [9], [9], [10], [8], [5, 5], [8], [8], [8], [8], [8], [8], [8], [6], [9], [9], [7], [9], [6], [10], [7], [9], [], [6]]
-EndAllocation

Instance: [[1], [286], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [190, 128, 96, 77, 64, 54, 48, 42, 38, 34, 32, 29, 28, 26, 24, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [143, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7]]
[[6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 10, 10, 10, 10], [9, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8]]
[[7, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 9], [10, 10, 10, 10, 10], [], [5, 5, 5, 5, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9]]
[[10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 9], [8], [6, 6, 6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 10], [7, 7, 7, 7], [10, 10, 10, 10], [], [9, 9, 9, 9], [9, 10, 10, 10], [5, 5, 5, 5, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [10, 10], [10, 10, 10], [], [7, 7, 7, 7, 9], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 9]]
[[8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6], [], [8, 8, 8, 8], [10, 10, 10], [8, 8], [5, 5, 10, 10], [5, 9, 9, 9], [10, 10, 10], [5, 7, 7, 7, 7]]
[[9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8], [10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5], [], [9, 9, 9], [6, 6, 6, 6]]
[[5, 8, 8, 8], [8, 8, 8], [5, 10, 10], [9, 9, 9], [5, 10, 10], [], [10, 10], [6, 6, 6, 6], [5, 8], [7, 7, 7, 7], [9, 9, 9], [10, 10], [8, 8, 8]]
[[10, 10], [8, 8, 8], [8, 8, 8], [9, 9, 9], [5, 10, 10], [6, 6, 6, 6], [10, 10], [5, 10, 10], [], [], [5, 5, 8], [9, 9, 9], [8, 8, 8], [7, 7, 7, 7]]
[[8, 8, 8], [7, 9, 9], [10, 10], [8, 9, 9], [6, 6, 6, 6], [7, 7, 7], [10, 10], [], [9, 9], [10, 10], [8, 8, 8], [], [10, 10], [5, 5, 5, 5], [8, 8, 8]]
[[8, 9], [10, 10], [10, 10], [7, 7, 7], [9, 9], [10, 10], [5, 5, 5, 5], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [10, 10], [8, 8, 8], [], [7, 9], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 6, 6], [9, 9], [10, 10], [9, 9], [7], [5, 5, 5, 5], [7, 7, 7], [6], [8, 8], [10, 10], [10, 10], [9, 9], [10, 10], [8, 8]]
[[8, 8], [6], [8, 8], [7, 7, 7], [9, 9], [5, 5, 5, 5], [10, 10], [8, 8], [10, 10], [9, 9], [6, 6, 6], [7], [8, 8], [10, 10], [], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [7, 9], [9], [], [6, 6, 6], [9, 9], [6], [8, 8], [], [7, 7, 7], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8]]
[[8, 8], [8, 8], [], [7, 7], [5, 5, 5, 5], [9, 9], [], [9, 9], [10, 10], [10, 10], [10, 10], [6, 6, 6], [], [6], [9, 9], [7, 7], [8, 8], [10, 10], [8, 8], [8, 8]]
[[5, 10], [8, 8], [8, 8], [10], [10], [9, 9], [9, 9], [10], [5, 5, 5], [10], [], [10], [6, 10], [7, 7], [7, 7], [8, 8], [9, 9], [10], [6, 6, 6], [8, 8], [8, 8]]
[[9], [8, 8], [8, 8], [6, 10], [10], [7, 9], [9], [5, 5, 5], [10], [7, 9], [6, 6], [10], [8, 8], [7, 7], [9], [10], [10], [8, 8], [6, 10], [5, 9], [10], [8, 8]]
[[8, 8], [8, 8], [5, 10], [9], [10], [10], [7, 10], [6, 6], [6, 6], [10], [9], [5, 5, 5], [9], [7, 10], [7, 7], [10], [8, 8], [9], [10], [9], [9], [8, 8], [8, 8]]
[[5, 10], [8, 8], [5, 9], [6, 6], [7, 9], [5, 9], [], [9], [8, 8], [10], [5, 9], [], [10], [10], [10], [10], [8, 8], [10], [8, 8], [6, 6], [10], [7, 9], [7, 7], [8, 8]]
[[5, 9], [8, 8], [8, 8], [9], [10], [7, 7], [8, 8], [10], [10], [], [5, 10], [], [6, 9], [9], [7, 7], [], [10], [6, 6], [6, 9], [10], [10], [8, 8], [5, 10], [5, 9], [8, 8]]
[[5, 9], [5, 9], [10], [5, 9], [10], [6, 8], [8], [6, 8], [9], [9], [10], [8], [6, 8], [10], [9], [10], [10], [6, 8], [8], [8], [8], [10], [5, 8], [10], [7, 7], [7, 7]]
[[5, 8], [5, 8], [5, 8], [6, 8], [10], [10], [8], [8], [9], [9], [8], [7, 7], [9], [8], [10], [10], [7, 7], [10], [10], [9], [6, 8], [10], [9], [6, 6], [5, 9], [10], [8]]
[[5, 8], [5, 8], [6, 8], [8], [8], [9], [8], [7, 7], [10], [8], [7, 7], [8], [10], [10], [10], [10], [5, 5], [9], [8], [9], [10], [10], [6, 8], [9], [10], [9], [9], [6, 6]]
[[5, 8], [6, 7], [5, 8], [8], [8], [9], [8], [9], [9], [7], [10], [6, 6], [10], [9], [9], [10], [10], [5, 8], [9], [7], [10], [10], [10], [10], [6, 7], [8], [5, 8], [8], [8]]
[[10], [9], [6, 7], [8], [9], [8], [8], [9], [8], [5, 8], [8], [10], [8], [10], [10], [6, 6], [9], [9], [10], [6, 7], [9], [8], [10], [5, 5], [8], [8], [10], [5, 7], [7], [10]]
[[5, 8], [6, 6], [8], [8], [7], [9], [10], [6, 6], [8], [7], [8], [10], [9], [10], [8], [9], [7], [8], [10], [5, 5], [10], [7], [8], [8], [9], [9], [10], [5, 8], [9], [10], [10]]
[[8], [8], [10], [8], [5, 7], [8], [8], [5, 7], [9], [8], [7], [7], [10], [10], [6, 6], [8], [8], [9], [9], [10], [], [10], [9], [10], [9], [10], [9], [5, 5], [10], [6, 6], [8], [8]]
[[8], [8], [10], [8], [8], [8], [5, 7], [5, 5], [10], [10], [], [6, 6], [10], [9], [9], [9], [], [7], [10], [6, 6], [8], [8], [10], [9], [10], [8], [10], [5, 7], [9], [9], [8], [7], [8]]
[[5, 7], [10], [5, 5], [8], [5, 7], [9], [10], [9], [9], [8], [10], [10], [8], [9], [10], [], [10], [], [7], [10], [], [8], [9], [8], [8], [8], [8], [8], [6, 6], [7], [10], [6, 6], [9], [8]]
[[10], [5, 5], [8], [8], [7], [8], [9], [9], [], [], [8], [5, 7], [8], [8], [10], [9], [8], [9], [8], [9], [10], [10], [], [10], [7], [9], [], [8], [10], [10], [10], [8], [6, 6], [6, 6], [5, 7]]
[[8], [8], [8], [8], [8], [5, 5], [10], [10], [6], [10], [9], [7], [9], [5, 5], [10], [8], [6], [8], [7], [8], [7], [9], [9], [], [], [6], [10], [10], [10], [7], [6], [10], [9], [9], [8], [8]]
-EndAllocation

Instance: [[1], [285], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [190, 126, 96, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [143, 95, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [5, 5, 5, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9], [7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [7]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8]]
[[], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 10], [5, 5, 5, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[], [6, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 8, 8, 8, 8], [5, 5, 5, 10, 10]]
[[8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8], [5, 5, 5, 8], [9]]
[[5, 9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9], [], [], [5, 5, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[8, 8, 8, 8], [10], [8, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [7, 9, 9], [6, 6, 6, 6, 8], [9, 9, 9, 9], [5, 5, 5]]
[[], [6, 6, 6, 6], [5, 9, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [5, 9, 9, 9], [10, 10, 10], [8, 8], [7, 7, 10], [5, 7, 7, 7, 7]]
[[8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [10, 10, 10], [7, 7], [5, 5, 5, 8, 8], [10, 10, 10], [8, 8, 8, 8], [], [10], [9, 9, 9], [6, 6, 6, 6]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9, 10], [10, 10], [10, 10], [9, 9, 9], [], [5, 5, 5, 7, 7], [8, 8, 8], [8], [7, 7, 7, 7], [9, 10, 10], [8, 8, 8]]
[[7, 10, 10], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [], [5, 5, 5], [], [8, 8, 8], [9, 9, 9], [9, 9, 9], [10, 10], [8, 10], [7, 7, 7, 7], [7, 10, 10]]
[[10, 10], [7, 7, 7], [5, 5, 6, 6], [6, 9, 9], [7, 7, 7], [5, 9, 9], [8, 8, 8], [], [8, 8, 8], [10, 10], [6, 9, 9], [], [8, 10], [10, 10], [8, 8, 8]]
[[9, 9], [8, 10], [8, 8, 8], [5, 5, 5], [9, 9], [9, 9], [10, 10], [7, 7, 7], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [], [10, 10], [8, 8, 8]]
[[5, 5, 5], [], [6, 6, 6], [9, 9], [9, 9], [10, 10], [8, 8], [10, 10], [7, 7, 7], [6, 8, 8], [8, 8], [8, 8], [8, 8], [7, 7, 7], [10], [10, 10], [9, 9]]
[[8, 8], [6], [8, 8], [8, 8], [9, 9], [8, 8], [8, 8], [7, 7, 7], [10], [10, 10], [6, 6, 6], [9, 9], [7, 7, 7], [], [5, 5, 5], [10, 10], [10, 10], [9, 9]]
[[10, 10], [], [7, 7], [8, 8], [8, 8], [5, 5, 5], [8, 8], [8, 8], [9, 10], [6, 6, 6], [8, 8], [9, 9], [7, 7], [9, 9], [10, 10], [10, 10], [7, 7], [], [6, 9]]
[[8, 8], [7], [8, 8], [8, 8], [10, 10], [10, 10], [6, 6, 6], [10, 10], [5, 5, 5], [6], [9, 9], [], [8, 8], [], [7, 10], [7, 7], [8, 8], [9, 9], [7, 7], [9, 9]]
[[8, 10], [8, 8], [8, 10], [7, 10], [9, 9], [9, 9], [6], [], [6, 6, 6], [5, 5, 5], [10], [10], [7, 7], [], [7, 7], [8, 8], [9, 9], [10], [7, 10], [8, 8], [8, 8]]
[[9], [5, 9], [10], [8, 8], [8, 8], [8, 8], [8, 8], [10], [10], [6, 6], [7, 7], [7, 9], [10], [7, 7], [8, 9], [9], [5, 8], [10], [7, 10], [5, 9], [10], [6, 6]]
[[7, 7], [8, 8], [8, 9], [8, 8], [9], [10], [10], [6, 6], [9], [8, 9], [10], [10], [10], [5, 5, 5], [7, 7], [10], [8, 8], [9], [7, 7], [9], [8, 8], [6, 6], [10]]
[[10], [6, 10], [8, 8], [7, 9], [10], [7, 7], [7, 7], [6, 6], [8, 8], [], [10], [8, 8], [8, 8], [10], [], [9], [9], [7, 9], [6, 10], [9], [9], [10], [5, 5, 5], [8, 8]]
[[7, 7], [8, 8], [8, 8], [7, 9], [10], [10], [9], [8, 8], [8, 8], [5, 10], [10], [9], [], [5, 6], [7], [8, 8], [6, 6], [9], [10], [9], [7, 7], [10], [6], [5, 9], [10]]
[[10], [9], [6, 8], [6, 8], [10], [10], [10], [10], [8], [10], [8], [8], [8], [10], [5, 9], [9], [6, 8], [8], [9], [5, 8], [5, 9], [9], [6, 8], [7, 7], [7, 7], [7, 7]]
[[6, 6], [8], [10], [10], [10], [7, 7], [9], [10], [10], [9], [9], [8], [5, 9], [7, 7], [8], [8], [7, 7], [8], [5, 8], [5, 9], [10], [8], [8], [9], [10], [6, 8], [6, 8]]
[[10], [10], [6, 8], [7, 7], [6, 6], [7, 7], [8], [9], [5, 9], [7, 7], [8], [9], [8], [8], [10], [9], [8], [9], [8], [10], [10], [8], [8], [5, 5], [10], [9], [6, 8], [10]]
[[9], [5, 8], [8], [8], [10], [8], [6, 7], [7], [5, 8], [10], [10], [9], [6, 7], [10], [9], [10], [8], [8], [9], [6, 7], [6, 7], [8], [10], [9], [5, 7], [9], [8], [8], [10]]
[[8], [6, 7], [9], [6, 7], [9], [5, 7], [8], [9], [8], [7], [8], [5, 8], [10], [10], [8], [8], [8], [5, 7], [8], [9], [6, 6], [10], [10], [10], [9], [9], [7], [10], [10], [8]]
[[5, 5], [8], [8], [10], [7], [9], [8], [10], [10], [9], [6, 7], [9], [8], [8], [9], [8], [9], [8], [7], [6, 6], [7], [10], [8], [8], [10], [6, 7], [10], [8], [9], [10], [5, 7]]
[[5, 5], [10], [7], [9], [7], [10], [10], [6, 6], [9], [8], [8], [7], [7], [10], [8], [8], [8], [9], [8], [10], [6, 6], [7], [8], [9], [8], [9], [9], [8], [10], [10], [8], [5, 7]]
[[8], [8], [7], [9], [9], [10], [10], [8], [5, 7], [10], [7], [10], [8], [8], [8], [8], [10], [8], [5], [10], [9], [7], [], [9], [10], [8], [6, 6], [5, 7], [9], [9], [7], [6, 6], [8]]
[[8], [9], [8], [10], [7], [7], [9], [9], [], [10], [6, 6], [7], [6, 6], [8], [8], [5], [8], [5, 5], [8], [9], [7], [10], [7], [9], [7], [10], [10], [8], [10], [8], [9], [10], [8], [8]]
[[8], [9], [9], [9], [5, 5], [], [8], [9], [8], [], [7], [8], [8], [8], [8], [8], [9], [10], [7], [8], [10], [10], [], [10], [7], [9], [10], [7], [8], [10], [7], [10], [6, 6], [6, 6], [5, 7]]
[[8], [8], [8], [5], [8], [7], [7], [10], [7], [7], [8], [8], [9], [9], [10], [7], [7], [10], [8], [10], [10], [10], [9], [9], [8], [10], [], [8], [6], [6], [6], [9], [6], [9], [5, 5], [8]]
-EndAllocation

Instance: [[1], [284], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 9]]
[[6, 6, 6, 6, 7, 9, 9], [6, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [], [5, 5, 5, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9]]
[[7, 7, 10, 10, 10], [7, 10, 10, 10], [8, 8, 8], [], [6, 6, 6, 6, 6, 7, 7], [5, 5, 5, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[5, 5, 5, 8, 8, 8], [6, 8, 8, 8, 10], [9, 9, 9, 9], [9, 9, 9, 9], [], [10, 10, 10, 10], [8, 8, 8, 10], [6, 6, 6, 6, 7, 7], [7, 7, 7]]
[[8, 8, 8, 8], [5, 5, 5, 8], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [], [7, 7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [6, 9, 9, 9], [8], [], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 9], [5, 5, 5, 7, 9]]
[[8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9], [], [8], [9, 9, 9], [5, 5, 5, 7]]
[[5, 8, 8, 8], [10, 10], [9, 9, 9], [9, 9], [], [], [6, 6, 6, 9], [8, 8, 8], [9, 10, 10], [8, 8, 8], [7, 7, 7, 7], [9, 10, 10], [5, 5, 6, 6, 7]]
[[8, 8, 8], [8, 8, 8], [6, 10, 10], [5, 5, 5], [], [10, 10], [8, 8, 8], [10, 10], [9, 9, 9], [6, 6, 6, 6], [], [9, 9, 9], [7, 9, 9], [7, 7, 7, 7]]
[[7, 8, 8], [5, 5, 6, 9], [7, 9, 9], [5, 9, 9], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8], [10, 10], [9, 9], [10, 10], [8, 8, 8], [], [], [10, 10], [8, 9]]
[[5, 5, 5], [10, 10], [6, 9, 9], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [6, 6, 6, 6], [9, 9], [], [10, 10], [8, 8, 8], [7, 7], [10, 10], [8, 8, 8]]
[[5, 8, 8], [8, 8], [6, 8, 8], [7, 7, 7], [6], [], [10, 10], [10, 10], [6, 6, 6], [8, 8], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [10, 10], [5, 5, 8]]
[[8, 8], [5, 8, 8], [8, 8], [8, 8], [9, 9], [9, 9], [10, 10], [6], [6, 6, 6], [], [9, 9], [7, 7, 7], [], [10, 10], [10, 10], [6, 7, 7], [9, 9], [5, 5, 8]]
[[8, 8], [8, 8], [7, 8], [6, 6], [8, 8], [7, 7], [], [5, 5, 5], [9, 9], [9, 9], [10, 10], [10, 10], [6, 6, 6], [], [9, 9], [9, 9], [7, 7], [10, 10], [8, 8]]
[[8, 8], [8, 8], [5, 5, 5], [6, 6, 7], [9, 9], [7, 7], [10, 10], [6, 6, 6], [], [10, 10], [8, 8], [], [], [7, 7], [8], [10, 10], [9, 9], [9, 9], [8, 8], [9, 9]]
[[5, 5, 7], [5, 10], [8, 8], [], [7, 7], [10], [8, 8], [9, 9], [9, 9], [10], [8, 8], [6, 6, 6], [], [9, 9], [6, 6], [10], [9, 9], [10], [7, 7], [8, 10], [8, 8]]
[[5, 5, 5], [8, 8], [8, 8], [7, 10], [7, 9], [6, 9], [6, 10], [6], [10], [8, 9], [7, 9], [7, 7], [6, 9], [10], [], [9], [10], [10], [6, 9], [9], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 9], [7, 9], [5, 10], [5, 10], [7, 10], [5, 9], [], [7, 10], [6, 10], [9], [9], [7, 7], [8, 8], [6, 6], [9], [8], [9], [6, 10], [9], []]
[[6, 9], [10], [9], [7, 7], [9], [8, 8], [6, 9], [9], [10], [9], [10], [8], [8], [8], [10], [10], [6, 10], [5, 5, 5], [8, 8], [6, 9], [7, 7], [6, 8], [7, 9], [8]]
[[8, 8], [6, 10], [8, 8], [10], [7, 7], [6, 9], [7, 7], [], [10], [], [9], [9], [8, 8], [9], [9], [10], [5, 5, 5], [6, 6], [10], [9], [9], [8, 8], [6, 10], [9], [7, 8]]
[[5, 8], [10], [5, 8], [10], [8], [10], [6, 7], [6, 8], [9], [6, 8], [5, 9], [9], [6, 8], [6, 8], [9], [10], [9], [9], [7, 7], [10], [7, 7], [10], [9], [9], [8], [8]]
[[8], [7, 7], [10], [5, 9], [5, 8], [10], [6, 8], [7], [6, 8], [9], [5, 9], [9], [10], [10], [9], [9], [6, 8], [6, 7], [6, 8], [8], [10], [7], [8], [10], [9], [8], [9]]
[[9], [5, 8], [6, 8], [5, 6], [9], [8], [9], [10], [8], [9], [8], [9], [10], [9], [7], [10], [9], [9], [6, 8], [7, 7], [10], [8], [10], [8], [10], [7, 7], [6, 6], [5, 8]]
[[5, 8], [5, 8], [10], [9], [6, 6], [8], [7], [9], [9], [9], [8], [9], [10], [10], [8], [9], [8], [10], [8], [8], [9], [10], [10], [6, 7], [7], [5, 8], [6, 7], [9], [6, 7]]
[[5, 7], [6, 6], [9], [5, 8], [5, 8], [6, 7], [9], [8], [10], [10], [8], [9], [9], [9], [6, 7], [8], [8], [8], [9], [8], [9], [], [8], [10], [10], [10], [9], [7], [6, 7], [10]]
[[10], [9], [6, 7], [5, 8], [5, 8], [9], [8], [9], [9], [6], [5, 7], [8], [10], [10], [9], [8], [9], [6, 7], [9], [6], [], [7], [8], [8], [10], [8], [10], [8], [10], [9], [6, 7]]
[[8], [5, 7], [8], [7], [8], [9], [8], [8], [7], [10], [6, 6], [6], [8], [9], [10], [9], [8], [9], [9], [8], [10], [6, 6], [10], [5, 5], [9], [10], [7], [9], [10], [8], [9], [7]]
[[8], [10], [5, 7], [8], [8], [8], [8], [7], [8], [5, 7], [10], [5, 6], [9], [9], [9], [9], [9], [9], [9], [6], [7], [10], [10], [10], [7], [9], [6], [8], [8], [8], [6], [10], [6]]
[[8], [7], [5, 7], [6], [5, 5], [7], [8], [9], [9], [7], [10], [10], [7], [9], [9], [9], [8], [10], [10], [10], [], [8], [9], [10], [9], [6, 6], [8], [], [9], [8], [8], [6, 6], [8], [8]]
[[8], [8], [8], [5, 7], [8], [8], [8], [9], [5, 6], [10], [7], [10], [10], [10], [7], [6, 6], [10], [9], [5, 7], [], [], [], [9], [9], [], [8], [9], [9], [8], [10], [7], [9], [6, 6], [9], [8]]
[[9], [7], [7], [5], [6], [8], [8], [10], [8], [10], [7], [6], [8], [10], [8], [6], [8], [6], [], [9], [9], [6], [7], [9], [9], [10], [8], [10], [8], [7], [10], [9], [8], [9], [5, 5], [9]]
-EndAllocation

Instance: [[1], [283], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [3, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10], [3, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 5, 5, 10]]
[[5, 5, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10], [3]]
[[5, 5, 6, 6, 6, 6, 6, 7, 7], [6, 8, 8, 8, 8, 8, 8], [3, 10, 10, 10, 10, 10], [10, 10, 10], [7, 7], [8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[5, 10, 10, 10, 10], [5, 10, 10, 10, 10], [8, 8, 8], [9, 9, 9, 9, 9], [3, 6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9]]
[[8, 8, 8, 8, 8], [3, 5, 5, 8, 8, 9], [7, 7, 7, 7, 9], [9, 9, 9, 9], [10, 10, 10, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8]]
[[3, 5, 5, 6, 8, 8], [8, 8, 9, 9], [6, 6, 6, 6, 6, 8], [8, 8], [10, 10, 10], [7, 7, 7, 7], [8, 8], [9, 9, 9, 9], [10, 10, 10], [10, 10]]
[[8, 8, 8], [3, 5, 5, 9, 9], [6, 8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 10, 10]]
[[3, 5, 5, 6, 6], [6, 9], [8, 8, 8, 8], [9, 10, 10], [9], [8, 8, 8, 8], [10, 10, 10], [9], [10, 10, 10], [7, 7, 7, 7], [8, 9], [6, 6, 6, 9]]
[[3, 8, 8, 8], [5, 8, 8, 8], [6, 6], [9, 10, 10], [], [10, 10], [9, 9, 9], [], [9, 10, 10], [8, 8, 8], [7, 7, 7, 7], [9, 10, 10], [5, 6, 6, 6, 6]]
[[3, 5, 10, 10], [8, 8, 8], [5, 10, 10], [], [], [9, 9, 9], [8, 8, 8], [6, 6, 8, 8], [8], [6, 6, 6, 6], [10, 10], [9, 9, 9], [10, 10], [7, 7, 7, 7]]
[[8, 8, 8], [3, 9, 9], [10], [9, 10], [7, 7, 10], [6, 6, 6, 6], [5, 5, 10], [10], [9, 9], [9, 10], [8, 8, 8], [], [7, 7, 10], [6, 6, 10], [8, 8, 8]]
[[3, 5, 5], [10, 10], [10, 10], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [6, 6, 6, 6], [9, 9], [], [10, 10], [8, 8, 8], [6, 6, 7], [10, 10], [8, 8, 8]]
[[5, 8, 8], [8, 8], [10, 10], [7, 7, 7], [8, 8], [7], [6, 6, 6], [10, 10], [6, 6, 6], [8], [8, 8], [9, 9], [3, 9, 9], [10, 10], [9, 9], [10, 10], [5]]
[[3, 8, 8], [8, 8], [8, 8], [8, 8], [9, 9], [7], [10, 10], [], [6, 6, 6], [], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [10, 10], [10, 10], [9, 9], [5, 5, 8]]
[[8, 8], [8, 8], [8, 8], [9], [8, 8], [7, 7], [], [10, 10], [6, 9], [], [10, 10], [10, 10], [6, 6, 6], [3, 6, 6], [9, 9], [9, 9], [5, 7, 7], [10, 10], [5, 8]]
[[3, 8, 8], [8, 8], [6, 6, 6], [5, 5, 7], [9, 9], [], [10, 10], [9, 9], [10, 10], [10, 10], [8, 8], [], [], [7], [6, 6], [10, 10], [6, 7, 7], [9, 9], [8, 8], [8]]
[[3, 5, 10], [10], [9, 9], [], [7, 10], [10], [8], [5], [8, 8], [10], [8, 8], [6, 6, 6], [10], [9, 9], [6, 6, 6], [7, 10], [9, 9], [10], [7, 7], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [6, 10], [6, 6], [6, 9], [9], [3, 10], [8, 8], [7, 7], [7, 9], [9], [6, 10], [10], [], [5, 10], [7, 10], [9], [8, 9], [5, 10], []]
[[8, 8], [8, 8], [8, 8], [3, 5, 9], [6, 6], [10], [10], [7, 7], [9], [10], [7, 10], [10], [10], [10], [7, 9], [6, 6], [6, 9], [10], [8, 8], [9], [9], [5, 6], [8]]
[[6, 6], [8, 8], [3, 9], [7, 7], [8, 8], [10], [9], [10], [7, 9], [10], [10], [8], [10], [10], [9], [10], [8, 8], [10], [8, 8], [6, 6], [7, 9], [5, 5], [6, 6], [9]]
[[6, 10], [8], [8, 8], [10], [7, 7], [6, 9], [7, 7], [3, 10], [10], [10], [9], [], [8, 8], [5, 9], [9], [10], [], [6, 6], [10], [10], [9], [8, 8], [6, 6], [5, 9], [8, 8]]
[[6, 6], [3, 10], [6, 8], [6, 8], [10], [7, 7], [10], [10], [10], [7, 7], [9], [9], [8], [8], [10], [10], [9], [9], [5, 9], [6, 8], [8], [5, 8], [8], [10], [9], [6, 8]]
[[6, 8], [10], [6, 8], [7, 7], [10], [10], [10], [9], [10], [8], [9], [9], [10], [8], [6, 8], [9], [9], [6, 6], [8], [10], [9], [8], [6, 8], [10], [8], [7, 7], [3, 5, 5]]
[[7, 7], [10], [], [6, 6], [9], [8], [9], [5, 9], [6, 8], [9], [8], [10], [10], [10], [3, 10], [8], [10], [9], [8], [6, 8], [10], [8], [8], [6, 8], [10], [7, 7], [9], [5, 6]]
[[5, 7], [8], [8], [8], [10], [3, 10], [9], [9], [9], [10], [5, 8], [10], [9], [8], [10], [7], [9], [10], [8], [8], [6, 6], [10], [10], [6, 6], [6, 7], [6, 7], [8], [8], [9]]
[[10], [6, 6], [7], [3, 9], [10], [10], [5, 5], [9], [8], [10], [10], [8], [8], [10], [10], [6, 6], [8], [8], [9], [8], [9], [7], [8], [6, 7], [8], [8], [6, 7], [9], [10], [9]]
[[9], [9], [9], [8], [8], [8], [6, 6], [10], [10], [7], [8], [9], [8], [7], [10], [3, 8], [6, 6], [8], [10], [10], [9], [6, 6], [9], [8], [10], [10], [10], [5, 7], [8], [7], [5]]
[[5, 7], [8], [7], [8], [7], [8], [9], [8], [10], [10], [], [7], [8], [8], [10], [9], [9], [10], [8], [8], [10], [6, 6], [10], [6, 6], [9], [9], [3, 9], [6, 6], [10], [10], [5], [8]]
[[8], [3, 8], [5, 7], [5, 6], [], [6, 6], [7], [8], [9], [], [6], [10], [8], [9], [10], [7], [10], [10], [10], [7], [9], [9], [8], [9], [10], [9], [10], [8], [8], [6, 6], [8], [10], [8]]
[[6, 6], [8], [5, 5], [8], [7], [], [9], [9], [10], [], [10], [10], [8], [9], [10], [7], [8], [], [10], [8], [10], [7], [10], [10], [9], [6, 6], [7], [8], [9], [8], [3, 8], [6, 6], [9], [8]]
[[5, 5], [8], [7], [7], [], [8], [8], [9], [8], [10], [6, 6], [10], [], [10], [], [6, 6], [10], [3, 9], [7], [7], [8], [], [9], [9], [8], [8], [9], [9], [10], [10], [8], [10], [6, 6], [10], [8]]
[[8], [8], [8], [8], [5, 5], [6], [10], [10], [6], [10], [9], [7], [9], [10], [9], [8], [6], [], [7], [], [6], [9], [8], [10], [6], [10], [8], [10], [10], [7], [3, 6], [7], [9], [8], [8], [9]]
-EndAllocation

Instance: [[1], [282], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[3, 3, 3, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8, 8, 8], [4, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 3, 3, 7, 10, 10, 10], [7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8, 9]]
[[3, 3, 3, 6, 6, 6, 6, 7, 7, 7, 10, 10], [7, 10], [9, 9, 9, 9, 9, 9, 9, 9], [4, 10, 10, 10, 10, 10, 10, 10], [5, 8, 8, 8, 8, 8]]
[[3, 3, 3, 4, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [5, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9]]
[[3, 6, 6, 6, 6, 9, 9, 9], [3, 3, 4, 8, 8, 10], [9, 9, 10, 10], [10, 10], [7, 7, 7, 7, 10], [5, 8, 8, 8, 10, 10], [9, 9, 9, 10, 10]]
[[3, 3, 10, 10, 10, 10], [], [5, 9, 9, 9, 9], [9, 9, 10, 10, 10], [6, 6, 6, 6, 10, 10], [4, 10], [3, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9]]
[[3, 3, 3, 9, 9], [5, 8, 8, 8, 8], [4, 7, 7, 7, 7], [8, 10, 10, 10], [], [9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 9, 9], [10, 10, 10]]
[[3, 3, 3, 4, 6], [5, 6, 10, 10], [8, 8, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9], [8, 8, 8, 9], [9, 9, 9, 9], [10, 10, 10], [6, 6, 9, 9]]
[[3, 3, 4, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [3, 10, 10, 10], [8], [10, 10, 10], [7, 7, 7, 7], [10], [5, 10, 10], [9, 9, 9], [9, 9, 10]]
[[10, 10, 10], [10, 10, 10], [3, 3, 8, 8, 8], [3, 7, 7, 7, 8], [4, 9, 9, 9], [7], [6, 6, 6, 6], [8, 10], [], [10, 10, 10], [9, 9, 9], [5, 9, 9]]
[[3, 3, 3, 4, 8, 8], [5, 8, 8, 8], [9, 10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9, 9], [9, 9, 9], [10, 10], [], [7, 7, 7, 7], [9, 10, 10], []]
[[3, 3, 3, 9, 9], [4], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [8, 8], [9, 9, 9], [], [9, 9, 9], [5, 10, 10], [10, 10]]
[[8, 8, 8], [3, 4, 9, 9], [3, 10, 10], [5, 7, 9], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [9, 9], [10, 10], [8, 8, 9], [], [], [10, 10], [3, 10, 10]]
[[4, 9, 9], [3, 10, 10], [9, 9], [3, 7, 7, 7], [9, 9], [10], [6, 6, 6, 6], [5, 9, 10], [9, 10], [8, 8, 8], [10], [7, 10], [8, 8], [10], [3, 10], [10]]
[[3, 3, 8, 8], [3, 4], [8], [7, 7, 7], [10, 10], [9, 9], [9, 9], [9, 9], [6, 6, 6], [7, 10], [10, 10], [6, 8, 8], [9, 9], [10, 10], [5, 10], [10, 10], []]
[[3, 3, 3, 4], [8], [8, 8], [9, 9], [6, 6, 6], [6, 9], [10, 10], [9, 10], [10, 10], [9, 9], [7, 10], [9, 9], [], [7, 7, 7], [], [10, 10], [10, 10], [5, 8, 8]]
[[3, 8, 8], [9, 9], [10], [10, 10], [10, 10], [9, 9], [], [], [9, 9], [], [10, 10], [10, 10], [6, 6, 6], [8, 8], [9, 9], [3, 3, 8], [5, 7, 7], [7, 7], [4, 6, 10]]
[[3, 8, 8], [3, 3, 8], [9, 9], [7, 7], [9, 9], [7, 7], [10, 10], [6, 6, 6], [10, 10], [10, 10], [], [8], [], [9, 9], [9, 9], [], [10, 10], [10, 10], [5, 8], [4, 6]]
[[3, 3, 10], [8, 8], [8], [10], [5, 10], [10], [3, 10], [10], [9, 9], [6], [9, 9], [7, 7], [10], [10], [7, 7], [10], [9, 9], [4, 10], [6, 6, 6], [8, 8], [9, 9]]
[[10], [8, 8], [8, 8], [3, 3, 10], [4, 9], [6, 10], [8, 9], [9], [10], [10], [7, 7], [7, 9], [10], [6, 6], [5, 10], [9], [6, 9], [7, 10], [3, 10], [9], [10], [9]]
[[10], [10], [8, 8], [3, 3, 10], [3, 4, 9], [10], [10], [7, 10], [10], [8, 9], [9], [9], [10], [9], [7, 7], [10], [6, 6], [9], [5, 8], [7, 9], [8, 9], [6, 6], [10]]
[[3, 3, 9], [3, 9], [8], [7, 7], [8, 8], [10], [10], [10], [9], [9], [9], [4, 6, 6], [10], [10], [9], [6, 9], [9], [10], [8, 8], [5, 10], [7, 7], [10], [6, 10], [10]]
[[3, 4, 9], [8, 8], [3, 10], [9], [9], [7, 7], [8, 8], [], [10], [10], [9], [10], [6, 9], [9], [7, 7], [5, 9], [10], [6, 6], [10], [3, 10], [10], [8], [6, 10], [9], [10]]
[[3, 9], [8], [6, 8], [10], [10], [9], [6, 8], [10], [7, 7], [10], [6, 8], [7, 7], [10], [9], [5], [3, 9], [4, 10], [9], [9], [3, 9], [6, 8], [10], [10], [10], [10], [9]]
[[4, 10], [3, 9], [6, 6], [5, 8], [9], [6, 8], [7], [10], [10], [9], [7], [9], [8], [9], [6, 8], [3, 3, 8], [9], [9], [10], [10], [9], [10], [10], [10], [10], [7, 7], [10]]
[[3, 3, 8], [3, 8], [7, 7], [9], [9], [10], [9], [6, 6], [10], [9], [10], [10], [10], [9], [10], [9], [10], [9], [8], [8], [5], [10], [8], [9], [10], [4, 10], [7, 7], [6, 6]]
[[3, 8], [10], [9], [6, 7], [8], [6, 7], [10], [10], [3, 9], [10], [3, 7], [10], [10], [4, 9], [9], [10], [9], [10], [9], [8], [9], [9], [], [5, 8], [8], [10], [6], [10], [6, 7]]
[[3, 9], [3, 8], [10], [8], [9], [10], [4, 6], [10], [10], [9], [9], [3, 7], [10], [9], [10], [9], [6, 7], [10], [10], [10], [8], [8], [9], [8], [9], [10], [6, 6], [7], [5], [7]]
[[3, 9], [4, 7], [10], [3, 10], [9], [8], [8], [6, 6], [6, 6], [8], [7], [9], [], [5], [10], [10], [8], [9], [7], [9], [10], [10], [8], [9], [10], [9], [10], [7], [9], [10], [3, 10]]
[[10], [10], [10], [4, 8], [10], [8], [8], [5], [10], [8], [10], [10], [9], [10], [6, 6], [6, 6], [10], [9], [3, 3, 3], [10], [9], [9], [9], [7], [8], [9], [], [9], [7], [7], [7], [9]]
[[4], [8], [8], [8], [9], [6, 6], [5, 7], [], [10], [], [10], [7], [9], [9], [10], [7], [10], [9], [10], [7], [10], [9], [9], [9], [10], [9], [10], [8], [10], [6, 6], [8], [10], [3, 3, 3]]
[[3, 7], [3, 8], [9], [9], [3, 7], [9], [8], [10], [9], [9], [10], [10], [7], [7], [10], [], [10], [], [8], [10], [10], [8], [10], [10], [9], [6, 6], [], [5], [9], [8], [9], [6, 6], [10], [4]]
[[3, 7], [8], [9], [], [], [], [], [3, 9], [9], [8], [7], [], [9], [10], [4], [5, 7], [10], [8], [3, 7], [8], [9], [10], [10], [10], [10], [9], [10], [10], [9], [10], [10], [9], [6, 6], [6, 6], [8]]
[[10], [], [8], [8], [7], [8], [10], [3, 3, 3], [10], [10], [10], [9], [9], [10], [9], [4, 5], [6], [9], [7], [], [], [9], [8], [10], [6], [10], [8], [10], [7], [7], [6], [10], [9], [9], [9], [6]]
-EndAllocation

Instance: [[1], [281], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 4, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,36. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,36:
-StartAllocation
[[1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9]]
[[1, 1, 1, 9, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10], [7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 1, 1, 4, 7, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 10, 10, 10, 10, 10], [1, 1, 1, 6, 7, 7], [9, 9, 9, 9, 9, 9], [6, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[1, 1, 1, 4, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [7, 7], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6]]
[[1, 1, 1, 4, 6, 6, 6, 6, 6, 10], [8, 10], [10, 10, 10, 10, 10], [7, 7], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[1, 1, 1, 4, 6, 7, 10, 10], [10, 10], [9, 9, 9, 9, 10], [6, 6, 6, 6, 10, 10], [10, 10], [8, 10], [8, 8, 8, 8, 8, 8], [7, 9, 9, 10, 10]]
[[1, 1, 1, 8, 8, 8], [4, 6, 8, 8, 8, 8], [7, 7], [10, 10, 10, 10], [], [9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 9, 9], [10, 10, 10, 10]]
[[1, 1, 1, 4, 10, 10, 10], [6, 10, 10, 10], [6, 8, 8, 8], [6, 10, 10, 10], [6, 7, 7], [], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 9, 9]]
[[1, 1, 1, 4, 6, 6, 6, 6], [9, 9, 9], [6, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7], [], [10, 10, 10], [9, 9, 9], [10, 10, 10]]
[[1, 1, 10, 10, 10], [10, 10, 10], [1, 4], [7, 7], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8, 8], [], [10, 10, 10], [9, 9, 9], [10, 10, 10]]
[[1, 1, 1, 4, 8], [8, 8, 8], [7, 10, 10], [6, 10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9, 9], [9, 9, 9], [], [7, 10, 10], [10, 10], [8, 8, 8]]
[[1, 1, 1, 4, 8, 8], [6, 6, 6, 10], [6, 8, 10], [6, 9, 10], [10], [8, 8, 8], [10], [7, 7, 10], [8, 10, 10], [9, 9, 10], [10], [10], [10], [9, 9, 9]]
[[1, 1, 1, 6, 9], [4, 9, 10], [8, 10], [9, 9], [8, 8, 8], [7, 7], [10, 10], [10, 10], [9, 9], [6, 6, 6, 6], [8, 8, 8], [10, 10], [10, 10], [10, 10], []]
[[1, 1, 4, 9, 9], [1, 10, 10], [10, 10], [6, 7, 7], [9, 10], [9, 10], [6, 6, 6, 6], [10], [9, 10], [8, 8, 8], [], [10], [8, 8, 8], [10], [8, 10], [9, 10]]
[[1, 1, 1, 8, 8], [6, 8, 8], [4, 8, 8], [7, 7], [6, 8], [9, 9], [9, 9], [], [6, 6, 6], [], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10]]
[[1, 1, 1], [8, 8], [8], [9, 9], [6, 6, 6], [6, 6], [10], [9, 9], [10, 10], [9, 9], [7, 7], [8, 8], [10, 10], [10, 10], [4, 10], [10, 10], [10, 10], [8, 8]]
[[1, 1, 1, 4], [8], [8, 8], [10, 10], [6], [9, 9], [10], [10, 10], [9, 9], [], [10, 10], [10, 10], [6, 6, 6], [8, 8], [9, 9], [8, 8], [6, 7, 7], [10, 10], [10]]
[[1, 1, 1, 4, 8], [8, 8], [10], [7, 7], [10, 10], [9, 10], [10, 10], [6, 6, 6], [6, 6], [10, 10], [9], [10, 10], [], [9, 9], [9, 9], [], [], [10, 10], [8, 8], [8, 8]]
[[1, 1, 1, 4, 10], [8, 8], [6, 10], [6, 10], [10], [10], [10], [10], [9, 9], [10], [9, 9], [7, 7], [10], [10], [10], [8, 8], [9, 9], [10], [6, 6, 6], [8, 8], [8]]
[[1, 1, 1, 9], [6, 8], [8, 8], [8, 8], [6, 9], [6, 9], [10], [9], [9], [4, 9], [7, 10], [7, 10], [10], [6, 10], [10], [10], [10], [10], [6, 10], [10], [8, 8], [10]]
[[1, 6, 10], [1, 1, 9], [8, 8], [4, 8], [9], [10], [6, 6], [7, 10], [10], [10], [10], [8, 9], [10], [10], [7, 10], [8, 9], [6, 6], [9], [8, 8], [10], [9], [10], [10]]
[[1, 1, 1, 4, 9], [6, 10], [8, 8], [10], [10], [10], [10], [9], [9], [10], [10], [10], [10], [9], [6, 9], [10], [8, 8], [10], [8], [6, 10], [7, 7], [9], [6, 6], [8, 8]]
[[1, 1, 1, 4, 8], [], [8, 8], [6, 10], [10], [7, 7], [10], [9], [9], [10], [6, 10], [9], [10], [9], [10], [10], [10], [], [6, 10], [6, 10], [9], [8, 8], [6, 10], [9], [8, 8]]
[[9], [4, 9], [10], [10], [10], [9], [8], [10], [6, 8], [6, 8], [6, 8], [10], [9], [6, 8], [10], [10], [7, 7], [6, 8], [10], [8], [10], [10], [9], [10], [9], [1, 1, 1, 10]]
[[1, 1, 1, 8], [9], [4, 10], [7, 7], [10], [9], [8], [9], [6, 8], [10], [9], [6, 8], [9], [8], [10], [10], [10], [10], [10], [10], [6, 8], [8], [10], [10], [9], [6, 6], [10]]
[[6, 8], [6, 8], [6, 8], [1, 1, 4, 8], [6, 8], [9], [], [9], [10], [10], [9], [10], [10], [10], [10], [10], [10], [10], [9], [9], [10], [9], [8], [10], [10], [7], [6, 7], [1, 8]]
[[1, 4, 8], [1, 1, 9], [6, 7], [6, 6], [9], [10], [9], [8], [10], [10], [10], [10], [8], [10], [9], [8], [10], [8], [8], [10], [10], [9], [10], [6, 7], [9], [10], [6], [8], [10]]
[[1, 1, 1, 8], [8], [8], [10], [10], [4, 6], [8], [10], [10], [10], [10], [10], [9], [8], [10], [7], [9], [9], [6, 6], [7], [10], [8], [8], [10], [10], [10], [6, 6], [9], [9], [9]]
[[1, 1, 1, 8], [], [6, 6], [10], [10], [10], [10], [10], [10], [10], [8], [10], [10], [9], [], [9], [9], [10], [9], [8], [9], [7], [8], [4, 8], [8], [9], [10], [6, 7], [10], [6, 6], [8]]
[[1, 1, 4, 6], [1, 8], [8], [8], [], [8], [7], [9], [10], [10], [10], [8], [9], [10], [], [8], [10], [9], [10], [9], [9], [10], [9], [10], [8], [6, 6], [7], [10], [10], [6, 6], [10], [10]]
[[1, 1, 1, 8], [8], [4, 6], [7], [10], [8], [10], [8], [10], [10], [9], [9], [9], [9], [6, 6], [9], [9], [10], [10], [6, 6], [10], [8], [10], [8], [10], [7], [10], [10], [], [8], [], [], [10]]
[[1, 1, 1, 8], [8], [8], [], [7], [10], [10], [9], [6], [9], [], [9], [10], [9], [10], [10], [9], [10], [9], [10], [8], [10], [10], [10], [8], [6, 6], [10], [4, 8], [10], [8], [], [6, 6], [], [7]]
[[1, 1, 1, 8], [8], [6], [10], [10], [9], [8], [9], [10], [10], [10], [10], [9], [10], [9], [6, 6], [9], [9], [10], [8], [10], [10], [8], [8], [10], [], [8], [10], [], [], [], [7], [6, 6], [], [4, 7]]
[[1, 1, 1], [10], [], [6], [6], [8], [10], [10], [9], [8], [10], [6], [8], [9], [9], [9], [8], [9], [8], [4, 6], [9], [6], [8], [8], [10], [7], [10], [7], [10], [], [10], [10], [10], [10], [10], []]
-EndAllocation

Instance: [[1], [296], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [197, 132, 98, 80, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [148, 99, 74, 60, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 6, 6, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 7, 7, 7, 7, 9, 9], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 10], [10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 8, 10, 10, 10], [8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[], [8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10]]
[[4, 4, 9, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8]]
[[4, 4, 8, 8, 8, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 9, 9]]
[[8, 8, 8, 8, 8], [4, 4, 6, 7, 7, 10], [7, 7, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9], [10], []]
[[4, 4, 8, 8], [9, 9, 9, 9], [9, 9], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7]]
[[8, 8, 8, 8], [4, 4, 6, 9, 9], [9, 9], [10, 10, 10], [9, 9], [8, 8], [10, 10, 10], [7, 7, 7, 7], [], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10]]
[[4, 8, 8, 8], [4, 8, 8, 8], [], [10, 10, 10], [9, 9, 9], [], [8], [6, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10]]
[[4, 4, 8, 10], [7, 7, 7, 7], [9, 9, 9], [8, 10], [8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [], [6, 6, 10], [8, 8, 8], [9, 9, 9], [8, 8, 8]]
[[8, 8, 8], [7, 9, 9], [10, 10], [7, 9, 10], [8, 8, 8], [6, 6, 6, 6], [7, 7, 9], [9, 10], [8, 10], [4, 4, 10], [9, 10], [10], [6, 6], [10], [8, 8, 8]]
[[8, 8, 8], [4, 10, 10], [4, 10, 10], [10, 10], [9, 10], [6, 6, 6, 6], [7, 7, 7], [9, 9], [9, 9], [8], [6, 6], [8, 8, 8], [10, 10], [], [7, 9], [8, 8, 8]]
[[4, 8, 10], [8, 8, 8], [], [6, 6, 6, 6], [8, 8, 8], [10, 10], [9, 9], [7], [], [7, 7, 7], [], [6, 9, 9], [10, 10], [10, 10], [6, 9, 9], [4, 10, 10], [8, 8, 8]]
[[4, 8, 8], [4, 8, 8], [8, 8], [9, 9], [8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [7, 7, 7], [6, 6], [9, 9], [], [7, 10], [10, 10], [10, 10], [6, 8, 8]]
[[4, 8, 8], [4, 8, 8], [10, 10], [10, 10], [8, 8], [9, 9], [10, 10], [], [9, 9], [6, 6, 6], [6, 6, 6], [], [8, 8], [10, 10], [9, 9], [7, 7, 7], [7, 10], [], [8, 8]]
[[4, 8, 8], [4, 8, 8], [10, 10], [6, 6, 6], [7, 7], [9, 9], [], [8, 8], [9, 9], [8], [7, 7], [6, 6, 6], [], [], [8, 10], [10, 10], [9, 9], [10, 10], [8, 8], [10, 10]]
[[9, 9], [4, 4, 8], [8], [8, 10], [8], [8], [8], [8], [6, 6, 6], [10, 10], [10, 10], [9, 9], [7, 7], [9, 9], [7, 7], [8], [6, 6, 6], [10, 10], [10, 10], [8], [8]]
[[4, 7, 7], [8, 8], [8, 8], [4, 10], [6, 6, 6], [10], [10], [8, 8], [10], [6, 6, 6], [10], [], [9, 9], [9, 9], [7, 7], [10], [8, 8], [10], [10], [9, 9], [10], [8, 8]]
[[4, 6, 7], [8, 8], [10], [], [7, 10], [4, 10], [8, 9], [8, 8], [6, 10], [10], [8, 9], [9], [9], [10], [7, 10], [7, 10], [9], [8, 8], [9], [10], [6, 6], [6, 6], [8, 8]]
[[7, 9], [8, 8], [8, 8], [8, 9], [6, 6], [9], [9], [10], [10], [8, 8], [6, 10], [10], [], [6, 9], [10], [9], [10], [6, 6], [10], [7, 10], [8, 8], [10], [7, 7], [4, 4, 8]]
[[4, 10], [4, 10], [7, 8], [6, 6], [7, 9], [6, 6], [7, 9], [8, 8], [7, 9], [10], [], [6, 8], [8, 8], [10], [8, 8], [10], [10], [9], [10], [9], [10], [8, 8], [6], [9], [10]]
[[4, 10], [8, 8], [8, 8], [6, 9], [], [10], [4, 10], [10], [9], [6, 6], [7, 7], [10], [], [10], [9], [10], [9], [8, 8], [10], [7, 7], [8, 8], [10], [9], [6, 9], [6, 6], [8, 8]]
[[10], [7, 7], [7, 7], [6, 8], [6, 8], [4, 9], [9], [9], [6, 8], [10], [8], [6, 8], [10], [10], [6, 8], [10], [8], [9], [10], [6, 8], [8], [9], [10], [10], [9], [8], [4, 10]]
[[7, 7], [6, 8], [6, 8], [4, 8], [8], [9], [10], [8], [9], [8], [10], [10], [6, 6], [10], [8], [9], [10], [7, 7], [9], [6, 8], [6, 8], [10], [8], [10], [10], [9], [9], [4, 10]]
[[4, 10], [6, 8], [7, 7], [10], [6, 8], [8], [8], [8], [6, 6], [8], [10], [10], [8], [8], [10], [7, 7], [8], [9], [9], [10], [10], [9], [9], [10], [6, 6], [9], [9], [10], [4, 8]]
[[10], [9], [10], [4, 8], [8], [8], [10], [10], [8], [10], [9], [10], [8], [6, 7], [9], [8], [9], [9], [6, 6], [8], [10], [6, 7], [8], [6, 7], [10], [8], [6, 7], [10], [9], [4, 8]]
[[10], [6, 7], [4, 8], [4, 9], [9], [10], [8], [10], [8], [8], [7], [9], [10], [8], [6, 6], [9], [6, 7], [10], [8], [6], [10], [6, 7], [8], [8], [9], [10], [9], [8], [10], [8], [10]]
[[4, 8], [4, 8], [8], [8], [8], [10], [9], [9], [9], [9], [10], [8], [6, 6], [10], [10], [10], [8], [10], [10], [10], [6, 7], [8], [6, 6], [6, 7], [9], [9], [10], [7], [], [8], [7], [8]]
[[4, 8], [4, 8], [8], [8], [10], [8], [9], [], [9], [10], [10], [8], [7], [10], [8], [10], [6, 6], [8], [9], [7], [7], [9], [10], [9], [10], [9], [6, 6], [8], [10], [6, 6], [10], [7], [8]]
[[4, 8], [4, 8], [7], [8], [8], [8], [10], [8], [10], [7], [10], [7], [9], [10], [10], [8], [10], [], [10], [8], [8], [9], [10], [6, 6], [9], [7], [8], [9], [6, 6], [9], [10], [6, 6], [9], []]
[[4, 4], [8], [8], [8], [6, 6], [8], [10], [8], [7], [10], [9], [10], [8], [10], [9], [10], [9], [9], [8], [9], [9], [6, 6], [10], [10], [7], [8], [10], [], [7], [7], [10], [8], [6, 6], [], [8]]
[[9], [6, 6], [6, 6], [9], [4, 7], [9], [8], [10], [10], [], [4, 8], [7], [8], [10], [10], [10], [10], [8], [], [9], [10], [10], [8], [7], [8], [8], [8], [], [9], [], [8], [6, 6], [9], [10], [7], [8]]
[[6], [8], [8], [8], [8], [8], [6], [6], [4, 4], [9], [8], [8], [], [8], [9], [6], [10], [9], [10], [9], [7], [9], [7], [10], [7], [8], [10], [7], [10], [10], [6], [10], [6], [10], [9], [10], [8]]
-EndAllocation

Instance: [[1], [295], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [197, 132, 98, 78, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [148, 99, 74, 59, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 5, 7, 7, 7, 7], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 5], [7, 7, 7, 7, 10, 10], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [8, 10, 10, 10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10, 10, 10], [4, 5, 6, 6, 6, 6, 6], [7, 7, 7, 7, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8]]
[[4, 4, 5, 6], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10]]
[[5, 10, 10, 10, 10], [10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 10, 10, 10], [9], [6, 6, 6, 6, 6, 7, 7], [4, 4, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8], [4, 5, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [6, 6, 6, 6, 6], [7, 7, 7, 7, 10], [10, 10, 10, 10]]
[[4, 4, 5, 10, 10], [10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10], [10, 10], [8, 8, 8, 8, 8], [9, 9], [9, 9, 9, 9], [7, 7, 7, 7], [10, 10]]
[[4, 4, 5, 6, 6, 8], [7, 7, 8, 10], [6, 6, 6, 8, 9], [8, 8, 10, 10], [8], [10, 10, 10], [8, 9, 9, 9], [10, 10, 10], [], [8, 8, 9, 9], [7, 7, 8]]
[[4, 4, 5, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10]]
[[4, 4, 5, 8], [8, 8, 8], [], [10, 10, 10], [9, 9, 9], [], [8, 8, 8], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10]]
[[4, 4, 5, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [6, 6, 6, 6], [7, 7, 7, 7], [9, 10, 10], [], [], [10, 10], [10, 10], [9, 9, 9], [9, 9, 10], [6, 8, 8]]
[[8, 8, 8], [4, 4, 9, 9], [10, 10], [9, 9], [8, 8, 8], [6, 6, 6, 6], [10, 10], [7, 7, 7], [], [7, 9, 9], [8, 8, 8], [10], [10, 10], [10, 10], [5, 6, 8]]
[[8, 8, 8], [4, 10, 10], [4, 10, 10], [10, 10], [9, 9], [10], [8, 8, 8], [9, 9], [7, 7, 7], [9, 9], [6], [8, 8, 8], [6, 6, 6, 6], [7], [10, 10], [5, 8]]
[[4, 4, 8, 8], [5, 7], [], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [7, 7, 7], [10, 10], [9, 9], [10, 10], [10, 10], [9, 9], [6, 10], [8, 8]]
[[4, 8, 8], [4, 5], [8, 8], [10, 10], [7, 7, 7], [10, 10], [6], [9, 9], [8, 8], [6, 6, 6], [], [6, 8, 8], [9, 9], [10, 10], [7, 10], [10, 10], [9, 9], [8, 8]]
[[4, 4, 5, 7], [8, 8], [8, 8], [10, 10], [7, 7, 7], [9, 9], [10, 10], [], [], [6, 6, 6], [8, 8], [9, 9], [8, 8], [10], [9, 9], [10, 10], [10, 10], [6, 6], [8, 8]]
[[4, 4, 5], [8, 8], [10, 10], [6, 6, 6], [7, 7], [9, 9], [10], [8, 8], [9, 9], [8, 8], [7, 7], [], [6, 6], [], [10, 10], [10, 10], [9, 9], [8, 8], [8, 8], [10, 10]]
[[4, 4, 10], [8, 8], [5, 10], [7, 7], [8, 8], [10], [9, 9], [9, 9], [7, 10], [10], [10], [10], [6, 6, 7], [10], [6, 6, 6], [10], [9, 9], [], [8, 8], [8, 8], [8, 8]]
[[8, 8], [7, 8], [8, 8], [4, 4], [10], [7, 7], [10], [9, 9], [10], [7, 10], [9, 9], [], [10], [6, 6, 6], [10], [10], [8, 8], [8, 8], [10], [9, 9], [5, 6, 6], [8, 10]]
[[8, 8], [8, 8], [8, 9], [5, 7], [10], [8], [10], [7, 9], [10], [10], [7, 7], [10], [9], [10], [6, 9], [6, 10], [8, 8], [4, 4, 9], [8, 8], [9], [6, 6], [6, 10], [10]]
[[8, 8], [8, 8], [8, 8], [4, 10], [5, 10], [6, 10], [7, 9], [10], [9], [], [10], [9], [6, 9], [4], [6, 9], [], [10], [6, 10], [9], [7, 7], [8, 8], [6, 10], [7, 10], [8, 8]]
[[8, 8], [4, 8], [8], [6, 10], [6, 10], [6, 10], [4, 9], [7, 9], [7, 7], [10], [8, 8], [6, 10], [9], [10], [9], [8, 8], [], [], [9], [], [7, 9], [8, 8], [6, 10], [10], [5, 10]]
[[4, 4, 8], [5, 8], [6, 10], [6, 6], [8, 8], [8], [10], [10], [9], [6, 6], [9], [10], [7, 8], [10], [9], [8], [10], [10], [8], [7], [10], [10], [7, 9], [9], [7, 9], [8, 8]]
[[4, 10], [7, 7], [7, 7], [8], [6, 8], [9], [10], [9], [5, 8], [8], [6, 8], [8], [10], [10], [6, 8], [10], [9], [6, 8], [9], [9], [8], [10], [9], [10], [10], [4, 10], [6, 8]]
[[8], [4, 8], [10], [6, 8], [6, 8], [8], [9], [9], [9], [7, 7], [9], [8], [10], [10], [10], [10], [10], [7, 7], [5], [10], [10], [8], [6, 8], [9], [9], [4, 10], [6, 8], [6, 8]]
[[4, 8], [4, 6], [9], [9], [10], [6, 8], [9], [6, 8], [8], [9], [8], [8], [9], [10], [9], [8], [10], [10], [10], [7, 7], [6, 6], [10], [10], [10], [7, 7], [8], [10], [8], [5, 8]]
[[4, 8], [5, 8], [7], [10], [10], [10], [9], [8], [9], [6, 7], [6, 7], [10], [8], [9], [9], [4, 8], [8], [10], [10], [8], [6, 6], [8], [8], [9], [10], [8], [10], [10], [6, 7], [9]]
[[4, 8], [4, 8], [10], [6, 7], [7], [8], [9], [8], [8], [6, 7], [9], [8], [10], [8], [9], [8], [9], [9], [9], [8], [6, 6], [10], [6, 7], [10], [10], [10], [10], [8], [10], [10], [5]]
[[4, 8], [6, 7], [6, 7], [10], [4, 8], [5, 8], [9], [9], [10], [8], [9], [10], [8], [10], [8], [8], [6, 6], [9], [10], [10], [10], [9], [], [8], [9], [7], [8], [10], [], [8], [10], [6, 7]]
[[4, 8], [4, 8], [8], [8], [8], [5, 6], [9], [], [7], [10], [10], [8], [10], [6, 6], [8], [10], [9], [7], [9], [7], [8], [9], [10], [9], [10], [8], [7], [8], [10], [6, 6], [9], [10], [10]]
[[9], [8], [8], [6], [8], [7], [8], [8], [10], [7], [], [9], [8], [7], [8], [8], [10], [8], [10], [8], [10], [9], [10], [10], [5, 7], [10], [9], [9], [6, 6], [10], [10], [6, 6], [9], [4, 4]]
[[8], [4, 8], [4, 8], [7], [5, 6], [], [8], [8], [8], [8], [7], [10], [], [10], [], [6, 6], [10], [9], [7], [7], [8], [10], [9], [9], [10], [8], [9], [9], [10], [10], [10], [10], [6, 6], [9], [8]]
[[5, 6], [9], [7], [8], [6, 6], [], [10], [10], [7], [9], [], [9], [], [10], [], [10], [8], [8], [9], [10], [7], [8], [8], [10], [4, 8], [10], [10], [8], [8], [8], [6, 6], [10], [9], [9], [8], [4, 7]]
[[9], [5], [8], [8], [8], [8], [10], [10], [10], [9], [8], [], [8], [8], [9], [6], [10], [9], [6], [9], [10], [6], [7], [10], [7], [8], [10], [7], [10], [7], [6], [8], [6], [10], [9], [4, 4], [8]]
-EndAllocation

Instance: [[1], [294], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10], [6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9], [7, 7, 7, 10, 10, 10, 10, 10, 10, 10]]
[[7], [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10]]
[[5], [8, 8, 8, 9, 9], [6, 6, 6, 6, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[7], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10, 10], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5], [6, 6, 6, 6, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[5, 10, 10, 10, 10], [5, 8, 8, 8, 8, 8], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 5, 7, 7, 7, 7, 9], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 7, 7, 10, 10], [7, 7], [], [9, 9, 9, 9], [5, 5, 5, 8, 9, 9], [6, 6, 6, 6, 10, 10]]
[[9, 9, 10], [8, 9, 9, 10], [9, 9, 10], [10], [10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 10], [5, 5, 5, 5, 10], [6, 6, 6, 6, 10]]
[[8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6], [10, 10, 10], [], [5, 5, 5, 5, 7, 7], [7, 7, 9, 9]]
[[10, 10, 10], [9, 9, 9], [8, 8, 8], [5, 5, 5, 5], [7, 7, 7, 7], [9, 9, 9], [], [8, 8, 8, 8], [10, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [8, 8], [], [8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [10, 10]]
[[8, 8, 10], [8, 10, 10], [5, 5, 5, 5], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [], [6, 6, 6, 6], [], [9, 9, 9], [10, 10], [8, 8, 10]]
[[10, 10], [8, 9, 9], [8, 9, 9], [6, 6, 6, 6], [8, 8, 8], [5, 5, 5, 5], [10, 10], [7, 7, 7], [], [10, 10], [8, 8, 8], [7], [9, 9], [10, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [9, 9], [8, 8, 8], [10, 10], [10, 10], [7, 7, 7], [], [7], [9, 9], [5, 5, 5, 5], [8, 8, 8], [9, 9], [6, 6, 6, 6], [10, 10], [8, 8]]
[[8, 8, 8], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [5, 5, 5, 5], [7], [], [7, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8]]
[[8], [8, 8], [8, 8], [9, 9], [10, 10], [6, 6, 6], [7, 10], [9, 9], [10, 10], [9, 9], [6, 10], [8, 8], [7, 7, 7], [], [5, 5, 5, 5], [8, 8], [10, 10], [8, 8]]
[[10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [7, 7, 7], [10, 10], [5, 5, 5, 5], [9, 9], [6, 6, 6], [8, 8], [], [8], [10, 10], [9, 9], [6, 7], [8, 8], [], [8, 8]]
[[8], [8, 8], [10, 10], [6, 7, 7], [9, 9], [7, 7], [10, 10], [6, 6, 6], [10, 10], [10, 10], [8, 8], [5, 5, 5, 5], [], [], [8, 8], [9, 9], [9, 9], [], [8, 8], [8, 8]]
[[6, 8], [8, 8], [8, 8], [8, 10], [7, 7], [9, 9], [10], [8, 8], [5, 5, 5], [10], [], [8, 8], [6, 6, 6], [10], [9, 9], [7, 10], [9, 9], [10], [10], [7, 10], [5, 8]]
[[7, 7], [8, 8], [8, 8], [5, 10], [10], [], [10], [9, 9], [10], [6, 10], [5, 5, 5], [], [10], [6, 6, 6], [9, 9], [7, 7], [8, 8], [8, 8], [8, 10], [9, 9], [10], [8, 8]]
[[8, 8], [8, 8], [10], [8, 9], [8, 8], [10], [10], [6, 9], [9], [9], [10], [10], [8, 8], [10], [7, 7], [5, 9], [7, 7], [5, 5], [8, 8], [9], [5, 10], [6, 6], [6, 10]]
[[8, 8], [8, 8], [8, 8], [7, 9], [6, 9], [10], [8, 8], [9], [9], [7, 7], [10], [], [5, 5, 5], [10], [6, 6], [10], [9], [10], [10], [6, 10], [8, 8], [10], [5, 7], [8, 9]]
[[8, 8], [5, 9], [8, 8], [10], [10], [6, 6], [8], [9], [9], [10], [7, 7], [6, 6], [10], [7, 7], [9], [9], [8, 8], [5, 5, 5], [10], [9], [10], [8, 8], [10], [10], [8, 8]]
[[5, 10], [8, 8], [8, 8], [7, 7], [9], [10], [10], [7, 7], [6, 9], [9], [8], [6, 6], [10], [], [9], [10], [9], [5, 5, 5], [10], [8, 8], [], [9], [8, 8], [10], [6, 10], [8, 8]]
[[5, 8], [5, 8], [6, 8], [6, 8], [10], [9], [9], [10], [6, 8], [8], [9], [8], [7, 7], [10], [10], [9], [7, 7], [8], [5, 8], [9], [6, 8], [9], [10], [10], [10], [10], [5, 8]]
[[5, 8], [6, 8], [7, 7], [9], [6, 8], [9], [8], [10], [9], [8], [9], [8], [10], [9], [6, 8], [8], [10], [9], [10], [5, 8], [10], [10], [10], [5, 5], [8], [10], [6, 8], [7, 7]]
[[10], [10], [5, 5], [8], [7, 7], [6, 8], [10], [6, 8], [10], [9], [8], [6, 6], [9], [9], [10], [7, 7], [8], [8], [8], [10], [5, 8], [10], [10], [8], [9], [9], [8], [8], [5, 9]]
[[5, 7], [10], [5, 7], [9], [10], [8], [8], [9], [9], [8], [8], [8], [10], [5, 8], [8], [10], [8], [10], [6, 6], [6, 7], [8], [5, 8], [10], [9], [8], [10], [6, 7], [9], [10], [9]]
[[9], [5, 8], [9], [9], [8], [9], [6, 7], [7], [9], [10], [8], [10], [8], [6, 6], [5, 7], [10], [5, 5], [8], [8], [10], [10], [8], [8], [8], [9], [8], [10], [8], [6, 7], [10], [10]]
[[10], [5, 7], [5, 8], [9], [8], [10], [7], [10], [8], [9], [5, 5], [9], [7], [6, 6], [9], [8], [10], [10], [10], [8], [7], [8], [8], [6, 6], [10], [8], [8], [9], [10], [8], [9], [8]]
[[5, 7], [8], [8], [8], [5, 7], [8], [9], [9], [10], [10], [10], [8], [8], [7], [9], [8], [10], [8], [10], [7], [10], [9], [5, 5], [9], [10], [6, 6], [9], [8], [8], [6, 6], [10], [], [8]]
[[8], [7], [10], [8], [8], [8], [8], [8], [10], [7], [8], [7], [8], [7], [8], [10], [8], [], [10], [10], [9], [9], [10], [10], [5, 5], [8], [9], [9], [6, 6], [9], [10], [6, 6], [9], [5, 5]]
[[9], [8], [8], [7], [8], [8], [8], [8], [5, 5], [9], [7], [6, 6], [5, 5], [8], [10], [7], [9], [10], [8], [], [9], [10], [], [10], [7], [9], [10], [10], [8], [10], [8], [10], [6, 6], [9], [8]]
[[9], [5], [7], [8], [8], [8], [10], [10], [], [10], [9], [7], [9], [5, 5], [10], [9], [], [9], [7], [6, 6], [10], [10], [8], [], [8], [10], [8], [8], [8], [8], [6, 6], [8], [9], [10], [5, 7], [8]]
[[9], [8], [8], [8], [8], [8], [10], [9], [10], [10], [], [6], [9], [9], [], [10], [10], [10], [7], [8], [5, 5], [7], [8], [10], [10], [6], [8], [8], [6], [9], [7], [6], [7], [9], [5, 5], [8], [8]]
-EndAllocation

Instance: [[1], [293], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[5, 5, 5, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6], [5, 5, 5, 6, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6], [5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 9, 9, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10, 10, 10]]
[[6, 9, 10], [8, 8, 8, 8, 8, 8, 9], [6, 6, 6, 6, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 8, 8, 8, 8, 8, 8]]
[[6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[6, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 5, 5, 7, 7, 7, 7], [9, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 9], [], [10], [8, 9, 9, 9, 9], [5, 5, 5, 8, 8, 9], [6, 6, 6, 6, 10, 10]]
[[6, 8, 8, 8, 8], [8, 8, 9, 9], [9, 9, 9, 9], [], [7], [8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7], [10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 8]]
[[8, 8, 8, 8], [9, 9], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 6], [10], [7, 7, 7, 7], [9, 9, 9, 9]]
[[6, 10, 10], [10, 10, 10], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10], [8, 8, 8, 8], [], [5, 5, 5], [8, 8, 8, 8], [6, 6, 6, 6]]
[[6, 8, 8, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8], [], [8, 8, 8], [5, 5, 5], [10, 10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [10]]
[[6, 8, 8], [10, 10], [5, 5, 10], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [10], [6, 6, 6, 6], [], [9, 9, 9], [5, 8, 10], [8, 8, 8]]
[[6, 8, 8], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [7, 9, 9], [10, 10], [5, 5, 5], [], [7, 7, 7], [8, 8, 8], [10], [10, 10], [8, 9, 9], [8, 8, 8]]
[[8, 8, 8], [10, 10], [9, 9], [8, 8, 8], [], [10, 10], [7, 7, 7], [7], [6, 6, 6, 6], [9, 9], [], [8, 8, 8], [5, 9, 9], [5, 10, 10], [5, 6, 10], [8, 8, 8]]
[[8, 8, 8], [6, 9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [5, 5, 5], [7], [], [7, 7, 7], [10], [10, 10], [10, 10], [10, 10], [8, 8, 8]]
[[6, 8, 8], [8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [9, 9], [10], [9, 9], [6, 8, 8], [8, 8], [], [], [5, 5, 5, 7], [10, 10], [10, 10], [8, 8]]
[[10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [7, 7, 7], [], [5, 5, 5], [9, 9], [6, 6, 6], [8, 8], [6], [8, 8], [10, 10], [9, 9], [7, 10], [8, 8], [6], [8, 8]]
[[6, 8], [8, 8], [], [6, 7, 7], [9, 9], [7, 7], [10, 10], [6, 6, 6], [10, 10], [10, 10], [8, 8], [5, 5, 5], [], [], [8, 8], [9, 10], [8, 9], [9, 9], [8, 8], [8, 8]]
[[6, 9], [8, 8], [8, 8], [7, 10], [9, 9], [9, 9], [], [8, 8], [5, 5, 5], [7, 10], [], [8, 8], [6, 6, 6], [10], [6, 10], [10], [8, 8], [10], [8, 10], [7, 7], [8, 9]]
[[6, 7], [8, 8], [8, 8], [8, 10], [10], [10], [], [9, 9], [10], [6, 10], [5, 5, 5], [], [10], [6, 6, 6], [9, 9], [7, 7], [8, 8], [8, 8], [10], [9, 9], [8, 8], [7, 8]]
[[6, 8], [8, 8], [8, 8], [10], [9], [8, 9], [10], [6, 6], [8, 8], [9], [10], [9], [8, 8], [10], [7, 7], [5, 5, 5], [7, 7], [9], [10], [9], [6, 10], [6, 10], [8, 8]]
[[6, 8], [8, 8], [8, 8], [10], [6, 9], [7, 10], [8, 8], [9], [10], [9], [10], [8], [10], [], [6, 6], [9], [5, 5, 5], [10], [8, 9], [7, 9], [8, 8], [10], [7, 7], [6, 8]]
[[8, 8], [9], [8, 8], [6, 6], [10], [6, 6], [8, 8], [9], [9], [], [7, 7], [9], [10], [7, 7], [9], [9], [8, 8], [10], [10], [10], [10], [5, 5, 5], [8, 8], [6, 10], [8, 8]]
[[6, 8], [8, 8], [9], [7, 7], [10], [], [], [7, 7], [6, 9], [10], [8, 8], [6, 6], [10], [9], [10], [10], [10], [5, 5, 5], [9], [8, 8], [10], [9], [8, 8], [8], [6, 9], [8, 8]]
[[7, 7], [9], [8], [6, 8], [6, 8], [9], [5, 8], [9], [8], [8], [10], [8], [8], [5, 9], [10], [10], [7, 7], [10], [8], [6, 8], [10], [10], [10], [9], [6, 8], [5, 9], [6, 8]]
[[6, 8], [9], [10], [9], [8], [7, 7], [8], [6, 8], [10], [6, 8], [8], [10], [7, 7], [9], [8], [8], [8], [10], [6, 6], [9], [10], [10], [5, 8], [5, 8], [8], [9], [5, 9], [10]]
[[9], [6, 6], [6, 8], [5, 8], [10], [9], [7, 7], [10], [10], [9], [10], [9], [8], [9], [9], [8], [], [10], [8], [6, 8], [5, 8], [8], [8], [5, 8], [7, 7], [8], [6, 8], [10], [10]]
[[6, 7], [8], [5, 8], [6, 7], [9], [10], [9], [9], [8], [8], [9], [8], [8], [8], [10], [10], [5, 8], [8], [6, 6], [9], [9], [7], [10], [10], [10], [10], [6, 7], [5, 8], [8], [8]]
[[9], [9], [9], [9], [8], [7], [9], [7], [10], [6, 6], [8], [10], [7], [6, 6], [5, 8], [8], [5, 8], [8], [8], [10], [8], [6, 7], [8], [10], [10], [8], [10], [8], [9], [10], [5, 8]]
[[6, 7], [5, 7], [9], [9], [8], [10], [8], [8], [10], [8], [5, 5], [9], [8], [6, 6], [9], [8], [10], [7], [8], [8], [8], [7], [10], [6, 6], [8], [10], [10], [9], [10], [8], [9], [8]]
[[8], [8], [8], [8], [6, 6], [8], [9], [9], [9], [10], [10], [8], [9], [7], [5], [8], [10], [8], [10], [7], [10], [9], [5, 6], [9], [7], [10], [8], [8], [8], [6, 6], [10], [5, 7], [8]]
[[7], [8], [8], [8], [8], [8], [8], [8], [10], [7], [9], [7], [8], [], [8], [10], [8], [9], [10], [8], [7], [9], [10], [10], [5, 5], [9], [9], [10], [6, 6], [9], [10], [6, 6], [5, 6], [8]]
[[9], [8], [8], [8], [8], [8], [8], [8], [5, 5], [9], [7], [8], [], [8], [10], [8], [9], [10], [8], [9], [9], [10], [], [10], [7], [9], [7], [10], [5, 6], [10], [7], [10], [6, 6], [6, 6], [8]]
[[8], [6, 6], [8], [8], [8], [8], [10], [10], [8], [10], [9], [7], [9], [7], [8], [9], [5, 5], [9], [7], [], [10], [8], [8], [10], [8], [10], [], [8], [], [5, 6], [6, 6], [10], [9], [9], [8], [7]]
[[8], [8], [8], [8], [8], [8], [10], [10], [10], [8], [9], [6], [9], [9], [], [10], [10], [10], [6], [8], [6], [7], [8], [7], [10], [6], [8], [8], [6], [9], [7], [9], [7], [9], [5, 5], [8], [5]]
-EndAllocation

Instance: [[1], [292], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [194, 130, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [146, 98, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8], [5, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 8], [8, 8, 8, 8, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8, 8, 10, 10]]
[[4, 8, 10], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9], [5, 5], [6, 6, 6, 6, 6, 6, 8, 8], [10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 5], [7, 7, 7, 7, 9]]
[[4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 10], [], [10], [5, 9, 9, 9, 9], [5, 9, 9, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8], [5, 5, 9, 9], [9, 9, 9, 9], [], [], [8, 8, 8, 8, 8], [4, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[4, 8, 8, 8, 8], [9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [8, 8], [5, 5], [10, 10], [7, 7, 7, 7], [9, 9, 9, 9]]
[[10, 10, 10], [10, 10, 10], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [5, 5, 8, 8], [], [8, 8, 8, 8], [], [6, 6, 10, 10], [8, 8, 8, 8], [4, 6, 6, 6, 6]]
[[4, 8, 8, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [5, 5, 6, 8], [], [8, 8, 8], [], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [10, 10]]
[[4, 8, 8, 8], [10, 10], [5, 5], [8, 8, 8], [10, 10], [8, 8], [9, 9, 9], [7, 7, 7, 7], [10, 10], [6, 6, 6, 6], [], [9, 9, 9], [10, 10], [6, 6, 8, 8]]
[[4, 10, 10], [6, 9, 9], [10, 10], [6, 9, 9], [8, 8, 8], [9, 9], [10, 10], [5, 5, 7], [10], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [], [8, 10], [8, 8, 8]]
[[8, 8, 8], [4, 10, 10], [9, 9], [5, 5, 8], [], [10, 10], [7, 7, 7], [], [6, 6, 6, 7], [9, 9], [10, 10], [8, 8, 8], [9, 9], [6, 6, 6], [10, 10], [8, 8, 8]]
[[4, 8, 8], [9, 9], [9, 9], [8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [5, 5, 6, 6], [7], [], [7, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [], [9, 9], [10, 10], [9, 9], [6, 6, 6], [8, 8], [7], [10, 10], [5, 5], [10, 10], [10, 10], [8, 8]]
[[10, 10], [8, 8], [10, 10], [6, 6, 6], [9, 9], [7, 7, 7], [], [5, 5], [9, 9], [6, 6, 6], [8, 8], [], [8, 8], [10, 10], [9, 9], [10, 10], [8, 8], [7], [4, 8, 8]]
[[4, 8, 8], [8, 8], [], [6, 6, 6], [9, 9], [7, 7], [10, 10], [6, 6, 6], [10, 10], [10, 10], [9, 9], [5, 5], [7, 7], [], [8, 8], [10, 10], [9, 9], [], [8, 8], [8, 8]]
[[4, 9], [8, 8], [8, 8], [7, 10], [9, 9], [9, 9], [], [8, 8], [5, 5], [7, 10], [], [8, 10], [6, 6, 6], [], [6, 6, 6], [7, 10], [8, 10], [10], [8, 10], [7, 10], [8, 9]]
[[4, 7, 7], [8, 8], [8, 8], [10], [10], [10], [], [9, 9], [10], [10], [5, 5], [], [10], [6, 6, 6], [9, 9], [7, 7], [8, 8], [8, 10], [6, 6, 6], [9, 9], [8, 10], [8, 8]]
[[8, 8], [8, 8], [10], [10], [10], [9], [10], [6, 6], [8, 9], [8, 9], [6, 10], [9], [8, 8], [10], [7, 7], [5, 5], [7, 7], [9], [9], [6, 10], [10], [4, 6, 6], [8, 8]]
[[4, 8], [8, 8], [8, 8], [7, 9], [6, 6], [7, 10], [5, 6, 6], [10], [9], [10], [6, 10], [], [10], [10], [6, 9], [], [5, 9], [9], [10], [7, 10], [8, 8], [9], [7, 8], [8, 8]]
[[8, 8], [9], [6, 6], [10], [10], [6, 6], [8, 8], [10], [10], [9], [7, 7], [], [10], [7, 7], [9], [10], [8, 8], [5, 5], [10], [9], [6, 10], [8, 8], [6, 9], [4, 9], [8, 8]]
[[8, 8], [8, 8], [9], [7, 7], [10], [10], [9], [7, 7], [6, 6], [10], [8, 8], [6, 6], [10], [], [9], [10], [10], [5, 5], [], [8, 8], [9], [10], [6, 9], [4, 9], [6, 10], [8, 8]]
[[6, 8], [5, 9], [10], [6, 8], [10], [9], [8], [10], [8], [6, 8], [10], [10], [7, 7], [8], [7, 7], [9], [9], [10], [6, 8], [9], [10], [8], [8], [9], [5, 8], [4, 10], [6, 6]]
[[4, 8], [8], [10], [8], [10], [9], [9], [9], [10], [6, 8], [10], [10], [7, 7], [9], [9], [10], [], [7, 7], [6, 6], [6, 8], [10], [5, 8], [8], [5, 9], [10], [6, 8], [8], [6, 8]]
[[4, 8], [5, 8], [5, 8], [6, 6], [10], [9], [7, 7], [8], [10], [9], [9], [9], [8], [9], [7, 7], [10], [8], [10], [10], [6, 6], [10], [10], [6, 6], [10], [8], [8], [8], [8], [9]]
[[4, 8], [5, 8], [8], [8], [8], [10], [9], [9], [9], [9], [10], [10], [10], [9], [10], [10], [8], [6, 7], [6, 6], [7], [8], [7], [10], [8], [8], [10], [6, 7], [9], [6, 6], [5, 8]]
[[4, 8], [8], [8], [9], [8], [9], [5, 7], [10], [8], [6, 6], [9], [10], [6, 6], [6, 6], [7], [8], [5, 8], [9], [10], [10], [7], [9], [8], [9], [10], [7], [10], [8], [8], [10], [10]]
[[4, 8], [8], [8], [8], [8], [7], [7], [7], [7], [9], [6, 6], [9], [10], [6, 6], [8], [6, 6], [10], [10], [8], [8], [9], [8], [10], [10], [9], [10], [9], [5, 5], [10], [10], [9], [8]]
[[4, 8], [8], [8], [8], [8], [8], [8], [9], [9], [9], [10], [6, 6], [10], [7], [10], [8], [10], [8], [10], [7], [9], [9], [5, 5], [9], [7], [], [7], [6, 6], [10], [6, 6], [10], [10], [8]]
[[4, 8], [8], [7], [8], [6, 6], [7], [8], [8], [10], [9], [7], [7], [8], [10], [8], [10], [8], [8], [], [10], [], [9], [10], [10], [5, 5], [10], [9], [9], [6, 6], [9], [10], [6, 6], [9], [8]]
[[9], [8], [8], [9], [8], [8], [7], [8], [5, 5], [], [10], [6, 6], [], [8], [10], [8], [9], [10], [8], [9], [9], [10], [], [10], [7], [9], [7], [8], [10], [10], [7], [10], [6, 6], [6, 6], [4, 8]]
[[4, 8], [5, 5], [7], [6, 6], [8], [7], [10], [10], [], [10], [9], [10], [9], [], [10], [9], [7], [9], [8], [], [10], [8], [8], [10], [8], [7], [], [8], [6, 6], [10], [6, 6], [8], [9], [9], [8], [8]]
[[8], [8], [8], [8], [10], [8], [10], [10], [10], [10], [9], [6], [9], [9], [], [10], [6], [10], [6], [8], [7], [7], [8], [], [10], [7], [8], [8], [6], [9], [6], [9], [4, 6], [7], [5, 5], [8], [9]]
-EndAllocation

Instance: [[1], [291], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [194, 129, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [146, 97, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 4, 9, 9], [4, 4, 4, 4, 5, 5, 6, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 10, 10, 10, 10], [8, 8, 8, 9, 9, 10, 10]]
[[], [5, 5, 7, 8, 8, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10], [6, 8, 8, 9, 9, 10], [5, 7, 10, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 10, 10]]
[[], [8, 8, 10, 10, 10, 10], [9, 9, 10, 10, 10], [7, 10, 10, 10], [6, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [5, 5, 10, 10, 10, 10]]
[[10, 10], [8, 10, 10, 10, 10], [10, 10, 10, 10], [7, 8, 8, 10, 10], [6, 9, 9, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [10], [10, 10, 10, 10]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [8, 9, 9, 10], [7, 10, 10, 10], [4, 4, 4, 4, 4, 4, 8, 8], [5, 5, 6], [4, 4, 4, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 4, 5, 5, 7], [9, 9, 10, 10], [4, 4, 4, 4, 10, 10], [10, 10, 10, 10], [8, 10, 10, 10], [8, 8, 10, 10], [6, 10, 10, 10], []]
[[], [5, 5, 10, 10], [10, 10], [4, 8, 10, 10], [6, 10, 10, 10], [4, 4, 4, 4, 9, 9], [7], [10, 10, 10], [4, 4, 4, 4, 10, 10], [8, 8, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [7, 8, 8, 10], [4, 4, 4, 4], [4, 4], [8, 10, 10], [10, 10, 10], [9, 10, 10], [10, 10, 10], [5, 5, 6, 9], [4, 4, 4, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 10], [9, 9, 10], [4, 4, 4, 4, 4, 10], [8, 8, 10], [10, 10, 10], [5, 5, 10, 10], [7], [10, 10, 10], [6, 10], [10, 10, 10], [8]]
[[10], [10, 10], [10, 10], [8, 10], [10, 10], [10, 10], [4, 4, 10, 10], [10, 10], [9, 10], [5, 5, 8, 8], [4, 4, 4, 4, 6], [10, 10], [4, 4, 4, 9], [7, 10, 10]]
[[], [7, 8, 8], [8, 10], [10, 10], [4, 10, 10], [10, 10], [4, 4, 9, 9], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [10], [10, 10], [5, 5, 6, 10], [10, 10], [10, 10]]
[[], [5, 5, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [4, 4, 4, 8], [7, 10], [8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [6, 10], [10, 10], [10, 10]]
[[], [4, 4, 4, 10], [10, 10], [7, 10], [10, 10], [10, 10], [6, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [10], [5, 5, 8], [8, 8], [10, 10], [10], [9, 9]]
[[], [10, 10], [8, 8], [10, 10], [], [4, 4, 4, 4, 4], [6, 7], [10, 10], [5, 5, 10], [8, 10], [9, 10], [4, 4, 4, 4], [10, 10], [9, 10], [10, 10], [10, 10], [10, 10], [10]]
[[], [5, 6, 8], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [10, 10], [7, 10], [], [10, 10], [4, 4, 4, 4, 4], [8, 8], [], [4, 4, 4, 4, 5], [10, 10], [], [10, 10], [10, 10]]
[[], [7, 8], [8, 8], [10], [], [10, 10], [10, 10], [9, 9], [10, 10], [4, 4, 4, 4, 4], [10, 10], [10, 10], [], [6, 10], [10, 10], [4, 4, 10], [10, 10], [4, 4, 5, 5], [], [10, 10]]
[[10], [8, 10], [7, 10], [10], [4, 4, 10], [8, 10], [5, 10], [10], [10], [6, 10], [4, 10], [4, 4, 10], [10], [10], [10], [4, 4, 4, 4], [5, 10], [10], [8, 10], [9, 9], [10]]
[[10], [10], [4, 10], [8, 8], [10], [10], [5, 10], [6, 10], [4, 4, 10], [10], [10], [7, 10], [9, 9], [10], [10], [4, 4, 10], [10], [5, 10], [8, 10], [10], [10], [4, 4, 4, 4]]
[[10], [10], [4, 10], [8, 9], [10], [10], [10], [10], [10], [10], [5, 10], [8, 8], [7, 10], [10], [10], [4, 10], [10], [10], [4, 4, 4, 4], [5, 10], [4, 10], [6, 10], [4, 4, 9]]
[[10], [10], [10], [10], [4, 10], [6, 10], [4, 4, 4, 4], [7, 10], [10], [8, 8], [10], [10], [10], [4, 10], [10], [10], [8], [5, 10], [4, 4, 9], [4, 10], [10], [10], [5, 9], [10]]
[[9], [6, 10], [4, 4, 4, 4], [10], [10], [10], [8, 8], [4, 10], [4, 5, 7], [10], [4, 10], [5, 10], [10], [9], [10], [8], [10], [10], [10], [10], [10], [10], [4, 10], [4, 10], [10]]
[[10], [10], [9], [10], [10], [10], [10], [4, 4, 4, 4], [4, 10], [4, 10], [10], [4, 6], [10], [5, 5], [10], [10], [4, 10], [10], [10], [4, 10], [7, 8], [9], [10], [10], [10], [8, 8]]
[[10], [4, 7], [10], [4, 10], [9], [10], [6, 8], [4, 10], [10], [8], [4, 10], [10], [10], [8], [4, 4, 4], [4, 5, 5], [10], [10], [10], [4, 10], [10], [9], [10], [10], [10], [10], [10]]
[[10], [10], [4, 10], [7], [10], [10], [10], [10], [4, 4, 6], [4, 8], [9], [10], [10], [8], [10], [10], [10], [4, 4, 4], [10], [10], [5, 5], [4, 9], [10], [4, 10], [10], [8], [10], [10]]
[[10], [6], [4, 9], [10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [4, 8], [8], [10], [], [10], [9], [4, 10], [4, 4, 4], [4, 5, 5], [7], [10], [4, 10], [4, 10], [10], [8]]
[[10], [6], [10], [10], [10], [10], [7], [8], [5, 5], [4, 4, 4], [10], [10], [10], [8], [10], [10], [10], [10], [9], [10], [10], [10], [4, 4, 4], [10], [9], [4, 4, 4], [10], [10], [8], [10]]
[[10], [], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [5, 5], [10], [10], [9], [4, 8], [7], [10], [10], [8], [10], [4], [4, 6], [8], [10], [4, 4, 4], [9], [10]]
[[10], [6], [4, 8], [10], [4], [10], [8], [10], [10], [4, 4, 4], [10], [10], [10], [10], [], [10], [9], [10], [10], [10], [7], [4, 4, 4], [10], [10], [10], [8], [9], [10], [10], [5, 5], [4], [10]]
[[10], [6], [10], [9], [8], [9], [], [5, 5], [10], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [4, 4, 4], [8], [10], [10], [], [10], [8], [10], [10], [10], [10], [10], [], [10], [10], [7]]
[[10], [10], [10], [], [10], [10], [10], [5, 5], [10], [], [10], [4, 4, 4], [10], [7], [10], [10], [10], [4, 8], [4], [10], [10], [10], [10], [4, 6], [], [10], [4, 4, 4], [10], [10], [9], [8], [8], [], [9]]
[[], [], [10], [9], [10], [10], [10], [9], [10], [4, 4, 4], [], [4, 6], [8], [10], [4, 7], [], [4, 4, 4], [10], [10], [10], [10], [10], [10], [8], [10], [], [10], [5, 5], [10], [10], [4], [10], [10], [8], [10]]
[[], [10], [8], [4], [10], [9], [10], [10], [10], [4], [4, 6], [5], [4, 4, 4], [10], [10], [], [10], [10], [10], [8], [10], [7], [9], [10], [], [10], [10], [10], [10], [10], [4, 4, 4], [], [10], [10], [8], [5]]
[[10], [10], [10], [10], [], [7], [9], [10], [8], [10], [4], [], [9], [4, 4], [10], [6], [10], [10], [8], [10], [], [10], [5, 5], [10], [8], [10], [10], [10], [10], [4, 4], [], [4, 4], [], [10], [10], [4, 4], [10]]
-EndAllocation

Instance: [[1], [290], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[3, 4, 4, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9], [9, 9], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 9, 9, 9, 9], [3, 4, 4], [6, 6, 6, 6, 8, 8, 8, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 4, 5, 9, 10, 10, 10], [8, 8, 8, 8, 10, 10, 10], [9, 9, 9, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7], [], [8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 4, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10]]
[[3, 4, 4, 5, 7, 8, 8, 10], [7, 8, 8, 8, 8, 10], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10], [], [9, 9, 9, 9, 10], [7, 7, 10, 10, 10]]
[[3, 4, 4, 8, 8, 8, 8], [5, 8, 8, 9, 10], [8, 8, 8, 8], [9, 9, 10, 10], [], [6, 9, 10, 10], [10, 10], [7, 7, 7, 7, 8, 8], [6, 6, 6, 10, 10]]
[[3, 4, 4, 8, 8, 8], [5, 8, 8, 8, 8], [9, 9, 9, 9], [8], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6]]
[[3, 4, 4, 8, 8, 8], [5, 8], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [], [10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8]]
[[3, 4, 4, 10, 10], [10, 10, 10], [5, 6, 9], [8, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [], [9, 9, 9], [6, 6, 6, 10]]
[[3, 4, 4, 8, 8], [5, 8, 8, 8], [7, 7, 7, 7], [8], [10, 10, 10], [9], [], [8, 8, 8], [10, 10, 10], [8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [9, 9, 9]]
[[3, 4, 10, 10], [4, 8, 8, 8], [5, 10, 10], [7, 7, 7, 7], [10], [10, 10], [], [8, 8, 8], [9], [9, 9, 9], [10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6]]
[[8, 8, 8], [6, 9, 9], [6, 10, 10], [6, 9, 9], [4, 4, 5], [8, 8, 8], [10, 10], [7], [], [7, 7, 7], [8, 8, 8], [10], [3, 10, 10], [6, 10, 10], [8, 8, 8]]
[[3, 4, 8, 8], [4, 10, 10], [5, 10, 10], [8, 8, 8], [8], [10, 10], [7, 7, 7], [], [9, 9], [7], [10], [8, 8, 8], [9, 9], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[3, 4, 8, 8], [4, 5, 7, 8], [6, 6, 6, 6], [9, 9], [8, 8, 8], [], [], [], [7, 7, 7], [10], [10, 10], [8, 8, 8], [9, 9], [10, 10], [10, 10], [10, 10], [8, 8, 8]]
[[10, 10], [3, 8, 8], [4, 4, 8], [9, 9], [6, 10], [6, 6, 6], [7, 8], [8, 8], [10, 10], [], [], [7, 7, 7], [9, 9], [8, 8], [8, 8], [10, 10], [10, 10], [5, 8, 8]]
[[3, 4, 4, 8], [5, 8, 8], [8, 8], [7, 8], [7, 7, 7], [], [10, 10], [], [9, 9], [10], [10, 10], [9, 9], [8, 8], [10, 10], [6], [10, 10], [6, 6, 6], [8, 8], [8, 8]]
[[3, 4, 4, 8], [8, 8], [8, 10], [6, 6, 6], [5, 7, 7], [9, 9], [10], [8, 8], [10], [8, 10], [7, 7], [6, 10], [], [10], [8, 8], [10], [9, 9], [10], [8, 8], [8, 10]]
[[3, 4, 10], [8, 8], [8, 8], [4, 5], [9, 9], [], [10], [10], [6, 10], [8, 10], [10], [10], [7, 7], [10], [7, 7], [8, 8], [9, 9], [8, 10], [6, 6, 6], [8, 8], [8, 8]]
[[4, 4, 8], [8, 8], [8, 8], [3, 5, 10], [10], [10], [], [], [10], [6, 10], [6, 6, 6], [7, 7], [10], [7, 7], [9, 9], [10], [8, 8], [8, 8], [10], [9, 9], [8, 10], [8, 8]]
[[3, 4, 4, 5], [8, 8], [8, 8], [10], [10], [], [9], [6, 10], [7, 9], [10], [7, 10], [8, 8], [9], [10], [9], [6, 6], [8, 8], [10], [8, 8], [10], [6, 10], [7, 7], [8, 8]]
[[8, 8], [6, 8], [8, 8], [4, 5, 8], [6, 10], [4, 7], [8, 8], [10], [], [10], [10], [10], [3, 10], [6, 6], [9], [10], [9], [9], [10], [10], [8, 8], [7, 9], [7, 7], [8, 8]]
[[4, 4, 8], [8, 8], [8, 8], [10], [8], [8, 8], [10], [9], [10], [], [6, 6], [7, 7], [8, 8], [9], [7, 7], [10], [10], [6, 6], [10], [9], [10], [3, 10], [9], [5, 10], [8, 8]]
[[3, 6, 6], [4, 4, 6], [8, 8], [8, 8], [], [10], [10], [8, 8], [9], [6, 10], [10], [10], [10], [10], [9], [9], [9], [], [], [7, 7], [8, 8], [10], [8, 8], [5, 10], [7, 7], [8, 8]]
[[3, 10], [10], [4, 9], [6, 8], [6, 8], [5, 8], [10], [10], [6, 8], [8], [8], [7, 7], [7, 7], [8], [8], [9], [10], [8], [10], [8], [6, 8], [9], [10], [10], [10], [8], [4, 9]]
[[5, 8], [3, 10], [10], [4, 10], [10], [8], [8], [9], [10], [6, 8], [8], [10], [7, 7], [8], [10], [8], [6, 8], [7, 7], [6, 6], [8], [8], [8], [9], [9], [9], [8], [10], [4, 10]]
[[3, 9], [10], [10], [6, 7], [10], [6, 7], [10], [10], [9], [8], [10], [8], [6, 7], [8], [8], [6, 7], [10], [8], [4, 8], [9], [10], [8], [8], [10], [8], [8], [8], [5, 8], [4, 9]]
[[6, 6], [3, 10], [5, 7], [10], [7], [10], [10], [8], [4, 8], [8], [10], [6, 7], [8], [4, 8], [8], [8], [10], [6, 7], [8], [8], [8], [9], [10], [10], [9], [8], [9], [10], [9], [8]]
[[3, 10], [10], [5, 8], [8], [6, 7], [10], [9], [10], [8], [6, 6], [10], [8], [10], [10], [10], [6, 7], [7], [9], [8], [8], [9], [8], [8], [8], [], [10], [7], [4, 8], [9], [8], [4, 8]]
[[10], [4, 7], [4, 9], [8], [8], [10], [7], [8], [5, 7], [9], [6, 6], [9], [10], [6, 6], [], [9], [10], [10], [8], [8], [8], [8], [8], [10], [8], [8], [10], [8], [10], [10], [7], [3, 8]]
[[4, 7], [8], [9], [6, 6], [8], [], [6, 6], [8], [8], [10], [10], [10], [10], [5, 7], [10], [8], [8], [10], [10], [9], [8], [8], [10], [3, 9], [], [9], [7], [8], [8], [10], [8], [7], [4, 8]]
[[3, 8], [8], [8], [7], [9], [8], [5, 7], [9], [6, 6], [6], [10], [7], [10], [9], [8], [10], [10], [10], [8], [], [8], [8], [8], [10], [10], [10], [9], [10], [6], [8], [7], [8], [8], [4, 4]]
[[3, 8], [4, 7], [10], [8], [8], [5, 7], [7], [8], [8], [10], [10], [10], [10], [], [10], [6, 6], [9], [8], [10], [8], [], [8], [], [8], [8], [9], [8], [9], [10], [], [10], [8], [6, 6], [9], [4, 7]]
[[3, 8], [6, 6], [4, 8], [8], [8], [8], [10], [7], [], [10], [9], [7], [], [], [10], [10], [7], [9], [5, 7], [8], [10], [8], [8], [], [10], [10], [], [8], [8], [10], [6, 6], [10], [9], [9], [8], [4, 8]]
[[6], [9], [8], [], [], [], [10], [3, 7], [10], [8], [10], [10], [10], [9], [10], [10], [10], [9], [4, 6], [8], [8], [8], [7], [6], [8], [7], [8], [8], [4, 6], [8], [7], [9], [8], [8], [8], [10], [5]]
-EndAllocation

Instance: [[1], [289], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,37. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,37:
-StartAllocation
[[1, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10], [5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8, 8]]
[[1, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 9, 10], [8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10, 10, 10]]
[[1, 5, 5, 5, 5, 5, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], []]
[[1, 5, 5, 5, 5, 5, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10], [9], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10, 10]]
[[1, 5, 5, 5, 5, 5, 10, 10], [10], [9, 9], [6, 6, 6, 6, 10, 10], [10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8]]
[[1, 5, 5, 5, 5, 5, 8], [8, 8, 8, 8, 9], [8, 8, 8, 9, 9], [6, 8, 10, 10, 10], [8], [8], [10, 10, 10, 10], [8, 9, 9, 9, 9], [6, 6, 6, 10]]
[[1, 5, 8, 8, 8, 8], [5, 5, 8, 8, 8], [8, 8, 8, 8], [8, 10, 10, 10], [], [9, 9, 9], [5, 5, 10, 10], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6]]
[[8, 8, 8, 8], [5, 9, 9, 9], [5, 5, 6, 6, 6, 6], [5, 5, 9], [8, 8, 8, 8], [1, 10, 10, 10], [9, 9, 9], [10, 10, 10], [10, 10], [8, 8, 8, 8], []]
[[5, 5, 5, 8, 10], [1, 9, 9, 10], [10, 10], [], [9], [5, 5, 10, 10], [8, 8, 8, 8], [6, 6], [8, 8, 8, 8], [9, 10, 10], [8, 8, 8, 9], [6, 6, 9, 9]]
[[1, 6, 8, 10], [5, 5, 5, 5, 8], [8, 9, 10], [8, 9, 10], [8, 9, 10], [8, 9, 10], [8, 9, 10], [8], [6, 6, 6, 8], [8, 9, 10], [], [5, 8, 10], [8, 9]]
[[1, 8, 8, 8], [6, 8], [8, 10, 10], [9, 9, 9], [8, 10, 10], [5, 5, 6, 6, 6], [5, 5, 5, 10], [9, 9, 10], [10], [10], [9, 9], [8, 8, 8], [8, 8, 8], []]
[[1, 8, 8, 8], [9, 9], [5, 5, 6, 10], [8, 8, 8], [5, 5, 5], [6, 10], [6, 6, 10], [], [9, 10], [10, 10], [8, 8, 8], [9, 9], [10, 10], [9, 9], [8, 8, 8]]
[[1, 8, 8, 8], [5, 5, 5, 5, 5], [10, 10], [8, 8, 8], [9, 9], [9], [6, 6, 6, 6], [9, 9], [9, 9], [], [], [8, 8, 8], [10, 10], [10, 10], [10, 10], [8, 8, 8]]
[[1, 5, 6, 8], [9, 10], [5, 8, 9], [5, 8, 9], [8, 9], [9, 10], [5, 5, 10], [8, 10], [8, 10], [8, 10], [8, 10], [8], [9, 9], [8, 10], [8], [6, 6, 6], [8]]
[[1, 5, 5, 8], [5, 8, 8], [6, 8, 8], [6, 8, 8], [9, 9], [10, 10], [5, 8], [9, 10], [6, 6], [10], [9, 9], [8, 8], [], [], [10, 10], [10, 10], [9, 9], [5, 8, 8]]
[[1, 5, 5, 8], [5, 8, 8], [10, 10], [10, 10], [5, 5, 8], [9, 9], [], [6], [9, 9], [6, 6, 6], [8, 8], [9], [8, 8], [10, 10], [9, 9], [], [10, 10], [8, 8], [8, 8]]
[[1, 6, 6, 6], [8, 8], [5, 6, 8], [8, 10], [5, 5], [9, 9], [8, 10], [8, 8], [9, 9], [8, 10], [5, 5, 10], [10], [10], [10], [9], [10], [], [9, 9], [8, 8], [8, 8]]
[[1, 5, 9], [8, 8], [8, 8], [8, 8], [9, 9], [5, 10], [5, 10], [5], [6, 10], [10], [], [9, 9], [10], [5, 10], [10], [8, 8], [9, 9], [10], [6, 6, 6], [8, 8], [8, 8]]
[[1, 8, 8], [8, 8], [8, 8], [5, 10], [5, 10], [5, 9], [10], [9, 9], [10], [9, 9], [5, 5, 6], [], [10], [], [10], [10], [8, 10], [8, 8], [6, 6, 6], [9, 9], [8], [8, 8]]
[[1, 8, 8], [8, 8], [8, 8], [6, 9], [5, 10], [5, 10], [5, 10], [6], [8, 8], [10], [10], [10], [8, 9], [10], [9], [10], [5, 5], [6, 9], [9], [8, 8], [9], [6], [8, 9]]
[[1, 8, 8], [5, 5, 6], [5, 10], [8, 9], [10], [5, 10], [8, 9], [8, 9], [8], [8, 9], [10], [8, 9], [6, 6], [6, 8], [8], [10], [], [10], [10], [8, 9], [10], [9], [], [5, 8]]
[[1, 6, 8], [6, 8], [6, 9], [8, 8], [5, 10], [5, 8], [8, 8], [9], [10], [9], [10], [10], [], [10], [6, 10], [9], [8, 8], [10], [9], [10], [9], [8, 8], [5, 5], [9], [5, 8]]
[[1, 5, 5, 5], [8, 8], [8, 8], [8, 8], [6, 6], [10], [10], [], [9], [10], [8, 8], [6, 6], [10], [5], [9], [10], [10], [9], [9], [8, 8], [9], [9], [9], [10], [5, 10], [8, 8]]
[[6, 8], [10], [5, 8], [5, 8], [5, 8], [5, 8], [10], [9], [6, 8], [10], [5, 9], [8], [6, 8], [8], [10], [8], [9], [10], [10], [9], [10], [9], [9], [10], [6, 8], [1, 8], [9]]
[[1, 6, 6], [5, 8], [10], [10], [8], [5, 9], [10], [5, 8], [8], [9], [9], [10], [9], [10], [10], [8], [8], [9], [9], [6, 8], [8], [10], [5, 8], [10], [8], [9], [6, 8], [5, 8]]
[[1, 10], [9], [5, 8], [10], [9], [8], [10], [9], [8], [8], [10], [8], [5, 8], [9], [9], [5, 8], [9], [8], [8], [10], [10], [6, 6], [5, 8], [10], [8], [6, 6], [10], [5, 8], [9]]
[[1, 6, 6], [10], [5, 8], [10], [6, 6], [8], [5, 8], [8], [], [5, 8], [10], [5, 8], [9], [9], [5, 8], [8], [8], [9], [8], [9], [10], [10], [9], [9], [8], [10], [8], [9], [10], [10]]
[[1, 8], [], [10], [5, 8], [5, 8], [5, 8], [6, 6], [8], [6, 6], [10], [10], [9], [9], [9], [9], [8], [10], [10], [10], [9], [10], [8], [8], [8], [8], [5], [9], [8], [10], [9], [5, 8]]
[[1, 8], [6, 6], [6], [8], [5, 8], [6], [9], [9], [5, 8], [9], [9], [10], [9], [10], [9], [9], [5, 8], [10], [10], [10], [10], [8], [5, 8], [8], [10], [8], [8], [8], [], [10], [], [5, 8]]
[[8], [8], [9], [10], [8], [10], [8], [8], [8], [10], [10], [8], [9], [6, 6], [5, 6], [5], [5], [5, 5], [10], [8], [9], [8], [8], [9], [10], [10], [9], [8], [9], [6], [10], [1, 9], [8]]
[[1, 8], [8], [10], [10], [10], [10], [8], [8], [8], [5, 6], [10], [5], [10], [9], [9], [10], [9], [8], [8], [8], [5], [10], [9], [9], [6, 6], [5], [8], [9], [9], [8], [5], [6], [8], [8]]
[[8], [8], [5, 5], [], [8], [9], [9], [9], [10], [10], [5, 5], [10], [9], [10], [9], [1, 6], [9], [10], [10], [8], [10], [9], [5], [8], [8], [8], [8], [], [8], [8], [8], [10], [6, 6], [6], [8]]
[[1, 8], [8], [6, 6], [8], [8], [8], [9], [9], [8], [9], [9], [10], [10], [10], [9], [10], [10], [], [10], [10], [5, 6], [5], [5], [9], [10], [9], [8], [8], [5, 6], [8], [8], [5], [8], [], [], [8]]
[[1, 8], [6], [5], [], [9], [8], [5, 5], [8], [9], [9], [8], [9], [10], [9], [9], [10], [10], [9], [8], [8], [8], [6], [8], [8], [8], [8], [10], [6], [10], [10], [5, 5], [6], [], [10], [10], [8], []]
-EndAllocation

Instance: [[1], [304], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [202, 136, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [152, 102, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[1, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 5, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 5, 6, 6, 6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10], [], [8, 8, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 5, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[1, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9, 9], [9], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[1, 10, 10, 10, 10], [7, 7, 7, 7, 10], [10], [], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9]]
[[1, 8, 8, 8, 8, 8], [5], [9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10]]
[[1, 5, 7, 7, 7, 7], [9, 9, 10], [], [8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10]]
[[1, 10, 10, 10], [6, 7, 7, 7, 7], [5, 8, 8], [10, 10, 10], [], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [10], [10, 10, 10]]
[[1, 5, 6, 8, 8], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [], [10, 10, 10], [9, 9, 9], [9, 9, 9], [], [10], [6, 6, 6, 6, 6], [10, 10, 10]]
[[1, 5, 8], [8, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [6, 6], [10, 10], [10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [10, 10]]
[[1, 5, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [10, 10], [10, 10], [6, 10, 10], [], [10, 10], [7, 7, 7, 7], [8, 8, 8], [], [6, 10, 10], [9, 9, 9]]
[[1, 8, 8, 8], [6, 6, 6, 6], [5, 8], [6, 6], [8, 8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [], [10, 10], [8, 8, 8], [7, 9, 9], [7, 7, 7], [10, 10], [10, 10]]
[[1, 5, 6, 8], [8, 8, 8], [7], [6, 6, 6, 6], [10, 10], [10, 10], [], [7, 7, 7], [10, 10], [], [9, 9], [8, 8, 8], [6, 9, 9], [9, 9], [10, 10], [10, 10], [8, 8, 8]]
[[1, 5, 8, 8], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [8, 8], [9, 9], [10, 10], [10, 10], [9, 9], [7], [10, 10], [8, 8], [10, 10], [], [6, 6, 6], [9, 9], [8, 8]]
[[1, 8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [], [10, 10], [], [9, 9], [10, 10], [8, 8], [7], [8, 8], [10, 10], [7, 7, 7], [6, 6, 6], [9, 9], [10, 10], [5, 8, 8]]
[[1, 8, 8], [5, 8, 8], [], [6, 6, 6], [6, 6, 6], [8, 8], [9, 9], [], [10, 10], [10, 10], [8, 8], [7], [10, 10], [], [9, 9], [10, 10], [7, 7, 7], [9, 9], [10, 10], [8, 8]]
[[1, 8, 8], [8, 8], [6, 6, 6], [5, 7, 7], [9, 9], [10, 10], [8, 8], [10, 10], [7, 7], [8, 8], [], [9, 9], [10, 10], [9, 9], [], [], [8, 8], [10, 10], [6, 6, 6], [10, 10], []]
[[8, 8], [8, 8], [5, 10], [10], [10], [9, 9], [10], [8, 8], [7, 7], [8, 8], [10], [9, 9], [9, 9], [10], [10], [10], [7, 7], [10], [10], [6, 6, 6], [6, 6, 6], [1, 8, 8]]
[[1, 8, 8], [8, 8], [], [6, 6, 6], [9, 9], [10], [7, 7], [8, 8], [10], [5, 10], [10], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [10], [10], [10], [10], [10], [8, 8], [8, 8]]
[[1, 6, 6], [8, 8], [5, 9], [6, 10], [10], [9], [8, 8], [6, 9], [8, 8], [10], [10], [10], [7, 7], [10], [10], [10], [10], [6, 9], [8, 8], [7, 7], [9], [9], [6, 10], [8, 8]]
[[1, 6, 10], [8, 8], [8, 8], [7, 7], [5, 10], [6, 10], [6, 9], [9], [8, 8], [6, 10], [10], [], [10], [], [9], [9], [6, 9], [10], [8, 8], [9], [10], [6, 10], [8, 8], [7, 7], [10]]
[[1, 5], [8, 8], [8, 8], [10], [10], [], [9], [6, 6], [10], [9], [10], [6, 9], [7, 7], [8, 8], [9], [10], [10], [10], [7, 9], [10], [6, 10], [7, 9], [6, 6], [10], [8, 8], [8, 8]]
[[1, 5, 6], [8, 8], [8, 8], [8, 8], [10], [10], [9], [9], [10], [], [10], [9], [9], [10], [6, 6], [8, 8], [9], [10], [6, 6], [8, 8], [10], [9], [7, 7], [10], [7, 7], [6, 10], [10]]
[[7, 7], [1, 9], [6, 8], [10], [6, 8], [6, 8], [10], [10], [10], [6, 8], [9], [7, 7], [10], [10], [8], [9], [8], [10], [8], [9], [10], [9], [8], [6, 8], [10], [10], [5, 9], [6, 8]]
[[1, 8], [6, 8], [], [10], [6, 8], [6, 8], [10], [8], [10], [7, 7], [10], [9], [6, 8], [9], [10], [7, 7], [10], [9], [10], [10], [9], [6, 8], [8], [6, 8], [10], [9], [8], [10], [5, 9]]
[[6, 8], [6, 8], [1, 8], [7, 7], [9], [10], [9], [10], [6, 8], [8], [10], [8], [9], [7, 7], [8], [10], [10], [], [10], [9], [6, 6], [9], [5, 9], [10], [8], [10], [10], [8], [6, 8], [10]]
[[1, 8], [10], [9], [10], [8], [8], [10], [8], [8], [6, 6], [10], [8], [10], [8], [10], [8], [10], [10], [9], [9], [6, 7], [9], [6, 7], [6, 7], [10], [8], [5, 8], [10], [6, 7], [9], [9]]
[[1, 8], [6, 6], [10], [10], [6, 7], [8], [9], [10], [8], [5, 8], [8], [8], [6], [6, 7], [8], [10], [10], [9], [9], [9], [8], [9], [10], [10], [6, 7], [10], [10], [9], [10], [8], [7], [8]]
[[1, 8], [9], [8], [9], [8], [6, 6], [9], [8], [10], [10], [5, 8], [10], [10], [10], [7], [8], [9], [10], [8], [8], [10], [7], [7], [9], [10], [10], [8], [6, 6], [7], [9], [10], [6, 6], [8]]
[[1, 7], [7], [10], [8], [7], [8], [9], [10], [7], [6, 6], [8], [8], [8], [8], [8], [5], [6, 6], [10], [9], [9], [8], [9], [10], [8], [10], [10], [6, 6], [10], [9], [10], [8], [9], [10], [10]]
[[1, 7], [9], [10], [9], [10], [9], [10], [6, 6], [8], [5, 7], [8], [8], [8], [8], [10], [7], [], [8], [10], [6, 6], [8], [], [8], [10], [7], [6, 6], [8], [8], [9], [9], [9], [10], [10], [10], [10]]
[[1, 7], [6, 6], [9], [10], [6, 6], [8], [10], [8], [7], [8], [8], [8], [6, 6], [9], [10], [10], [5], [], [9], [8], [9], [7], [8], [10], [10], [7], [9], [8], [9], [], [8], [10], [10], [8], [10], [10]]
[[6, 6], [8], [9], [9], [8], [9], [10], [8], [10], [1, 8], [8], [8], [7], [10], [10], [6, 6], [], [8], [9], [10], [9], [8], [], [8], [6, 6], [10], [], [], [7], [10], [7], [10], [10], [9], [8], [10], [5, 7]]
[[1, 6], [8], [10], [6], [9], [10], [9], [10], [8], [10], [8], [8], [8], [10], [6], [10], [8], [10], [8], [5], [6], [9], [8], [7], [9], [8], [10], [7], [7], [9], [8], [7], [10], [], [6], [10], [9], [6]]
-EndAllocation

Instance: [[1], [303], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [202, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [152, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[4, 5, 5, 5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7]]
[[4, 5, 5, 5, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [7, 7, 7, 7, 10], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 8], [4, 9], [5, 5, 5, 9, 10, 10, 10]]
[[4, 8, 8, 9, 9, 9], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5], [10, 10, 10, 10, 10], [10, 10, 10, 10]]
[[4, 10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 8, 8, 8], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6, 10]]
[[8, 8, 8, 8, 8], [4, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5], [10]]
[[4, 7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 5], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6], [], [10, 10, 10]]
[[4, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [], [5, 5, 5, 9, 9]]
[[4, 7, 7, 7, 7], [6, 8, 8, 8], [9, 9, 10], [6, 6, 6, 10], [6, 8, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9], [], [5, 5, 5], [], [10, 10, 10]]
[[4, 8, 8, 8], [5, 8, 8, 8], [5, 6, 6, 6, 6], [7], [8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [], [9, 9, 10], [5, 10, 10], [10, 10], [6, 7, 7, 7], [10, 10]]
[[4, 8, 8, 8], [5, 5, 5, 10], [6, 6, 6, 6], [9, 9, 9], [6, 8, 8], [10, 10], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 7, 7], [8, 8, 8], [], [], [9, 9, 9]]
[[8, 8], [6, 6, 6, 6], [6, 9, 9], [4], [8, 8, 8], [10, 10], [10, 10], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [7, 9, 9], [7, 7, 7], [10, 10], [5, 5, 5, 10]]
[[4, 6, 9], [8, 8, 8], [7, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [7, 7, 7], [10, 10], [], [5, 5, 5, 9], [8, 8, 8], [9, 9], [9, 9], [10, 10], [10, 10], [8, 10]]
[[4, 8, 8], [10, 10], [8, 8], [7, 7, 7], [10, 10], [8, 8], [5, 5, 5, 7], [9, 9], [10, 10], [9, 9], [6, 6, 10], [10, 10], [8, 8], [9, 9], [], [6, 6, 6], [9, 9], []]
[[4, 8, 8], [9, 9], [8, 8], [9, 9], [6, 6, 6], [10, 10], [7, 10], [8, 8], [9, 9], [10, 10], [8, 8], [], [], [10, 10], [7, 7, 7], [5, 5, 5], [9, 9], [10, 10], [6, 6]]
[[4, 6, 6], [8, 8], [8, 8], [6, 6, 6], [10], [8, 8], [9, 9], [9, 9], [5, 5, 5], [10, 10], [7], [10, 10], [10, 10], [], [9, 9], [], [7, 7, 7], [9, 9], [10, 10], [8, 8]]
[[4, 5, 10], [8, 8], [8, 8], [7, 7], [9, 9], [5, 5, 10], [7, 10], [10, 10], [6, 6, 7], [8, 8], [], [9, 9], [10, 10], [9, 9], [], [], [], [10, 10], [6, 6, 6], [9, 9], [8, 8]]
[[8, 8], [8, 8], [10], [4, 6], [10], [9, 9], [7, 10], [10], [5, 5, 5], [8, 8], [10], [9, 9], [9, 9], [10], [], [7, 10], [7, 7], [10], [9, 9], [6, 6, 6], [6, 10], [8, 8]]
[[8, 8], [], [8, 8], [5, 5, 6], [9, 9], [7, 10], [7, 9], [5, 9], [6, 10], [10], [10], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [10], [10], [10], [], [8, 10], [8, 8], [4, 8]]
[[4, 9], [8, 8], [6, 9], [6, 10], [8, 8], [6, 10], [6, 10], [10], [9], [10], [9], [9], [7, 7], [5, 5, 5], [6, 9], [9], [10], [10], [8, 8], [7, 7], [9], [10], [10], [8, 8]]
[[4, 5, 6], [8, 8], [7, 10], [10], [10], [6, 10], [9], [7, 9], [8, 8], [9], [9], [9], [10], [9], [], [9], [10], [6, 10], [10], [10], [5, 9], [5, 6, 6], [8, 8], [7, 7], [8, 8]]
[[4, 10], [8, 8], [8, 8], [5, 5, 5], [10], [9], [9], [6, 6], [10], [10], [10], [9], [7, 7], [8, 8], [9], [10], [7, 7], [10], [9], [10], [10], [9], [6, 6], [8, 8], [9], [6, 9]]
[[8, 8], [6, 6], [8, 8], [8, 8], [5, 10], [6, 10], [9], [9], [9], [9], [10], [9], [5, 9], [10], [6, 6], [8, 8], [10], [9], [], [], [9], [10], [7, 7], [10], [7, 7], [5, 10], [4, 10]]
[[10], [10], [10], [6, 8], [8], [7, 7], [6, 8], [7, 7], [10], [], [9], [8], [9], [6, 8], [10], [5, 9], [10], [6, 8], [5, 9], [9], [6, 8], [9], [9], [10], [10], [5, 9], [4, 8], [10]]
[[5, 8], [10], [10], [6, 8], [9], [9], [6, 8], [10], [9], [5, 8], [10], [10], [10], [9], [7, 7], [6, 6], [7, 7], [9], [10], [9], [6, 8], [8], [10], [9], [8], [5], [10], [8], [4, 9]]
[[10], [9], [10], [7, 7], [6, 6], [6, 8], [10], [6], [9], [8], [8], [5, 5], [9], [10], [8], [9], [10], [10], [7, 7], [5, 9], [10], [9], [9], [8], [10], [6, 8], [8], [8], [10], [4, 9]]
[[4, 9], [10], [9], [8], [9], [10], [8], [5, 5], [8], [6, 7], [6], [10], [10], [9], [10], [6, 7], [10], [8], [9], [10], [6, 7], [9], [10], [8], [10], [5, 8], [8], [6, 7], [9], [9], [8]]
[[10], [9], [8], [9], [8], [10], [10], [10], [5, 8], [4, 9], [8], [5, 7], [6, 6], [6], [8], [10], [9], [8], [7], [10], [9], [5, 7], [9], [8], [6, 6], [10], [8], [7], [10], [9], [9], [10]]
[[5, 5], [9], [9], [8], [9], [9], [8], [6], [10], [4, 7], [8], [10], [8], [10], [5, 7], [7], [8], [10], [10], [9], [10], [10], [7], [9], [10], [10], [8], [6, 6], [9], [8], [8], [6, 6], [9]]
[[5, 5], [8], [10], [9], [8], [9], [9], [8], [6], [4, 8], [8], [8], [5, 7], [8], [8], [10], [6, 6], [10], [10], [9], [9], [10], [10], [], [9], [7], [6, 6], [7], [7], [10], [9], [9], [10], [10]]
[[4, 6], [10], [10], [9], [10], [9], [9], [6], [7], [8], [6, 6], [8], [8], [7], [10], [5, 5], [10], [8], [9], [5, 6], [8], [8], [10], [9], [8], [7], [10], [], [9], [9], [9], [10], [7], [8], [10]]
[[4, 8], [10], [9], [10], [8], [5, 5], [7], [8], [5, 7], [8], [8], [8], [9], [9], [10], [10], [8], [10], [9], [6, 6], [9], [7], [6, 6], [6], [10], [7], [9], [], [9], [9], [8], [10], [], [], [10], [10]]
[[10], [10], [9], [9], [9], [5, 7], [6, 6], [8], [6], [4, 8], [8], [8], [8], [10], [10], [7], [9], [7], [10], [], [9], [], [10], [7], [10], [5, 5], [], [], [9], [6, 6], [10], [9], [8], [9], [8], [10], [8]]
[[5, 5], [6], [7], [9], [10], [10], [9], [9], [6], [8], [4], [9], [8], [9], [10], [], [10], [6], [8], [9], [8], [8], [9], [10], [10], [7], [10], [6], [9], [7], [10], [10], [5], [7], [6], [8], [8], [8]]
-EndAllocation

Instance: [[1], [302], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [201, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [151, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[6, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[4, 6, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7, 7]]
[[6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10], [], [4, 5, 5, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6], [4, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7], [8, 8, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 7, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6, 9, 9], [10], [5, 5, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 9, 9], [8, 8, 8, 8, 8, 8], [4, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [], [10, 10, 10, 10], [5, 5, 10, 10, 10, 10]]
[[4, 10, 10, 10], [7, 7, 7, 7, 7, 10], [5, 5], [6], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9]]
[[8, 8, 8, 8, 8], [4, 6, 6, 6, 6], [6, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [5, 5], [10]]
[[7, 7, 7, 7, 7], [4, 6], [5, 5], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [8, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 8], [10, 10]]
[[4, 6, 10, 10], [7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [7, 9], [5, 5, 8, 8]]
[[4, 7, 7, 7, 7], [8, 8, 8, 8], [6, 9], [6, 6, 6, 6], [7, 8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9], [], [10, 10, 10], [5, 5], [10, 10]]
[[4, 8, 8, 8], [8, 8, 8], [6], [], [8, 8, 8], [7, 10, 10], [9, 9, 9], [9, 9, 9], [10], [9, 10, 10], [5, 5, 10], [6, 6, 6, 6], [7, 7, 7, 7], [8, 10, 10]]
[[4, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [8, 10, 10], [6, 10, 10], [9, 10], [10, 10], [5, 5], [7, 10], [7, 7, 7, 7], [8, 8, 8], [], [], [9, 9, 9]]
[[8, 8, 8], [6, 6, 6, 6], [4, 9, 9], [], [8, 8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [10], [10, 10], [8, 8, 8], [7, 7, 7], [7, 7, 9], [10], [5, 5, 6, 8]]
[[6, 9, 9], [8, 8, 8], [7, 7, 8], [6, 6, 6, 6], [10, 10], [10, 10], [4], [7, 7, 7], [10, 10], [], [5, 5, 9], [8, 8, 8], [9, 9], [9, 9], [10], [10], [8, 8, 8]]
[[4, 6, 6, 6], [5, 8, 8], [6, 8, 8], [7, 7, 7], [10, 10], [8, 8], [9, 9], [10, 10], [10, 10], [9, 9], [5, 7, 7], [10], [8, 8], [], [9, 10], [6], [9, 9], [8, 8]]
[[4, 8, 8], [9, 9], [10, 10], [7, 9], [6, 6, 6], [], [], [8, 8], [9, 9], [10, 10], [8, 8], [7, 10], [8, 8], [10, 10], [7, 7, 7], [5, 5, 6], [9, 9], [6, 10], [8, 8]]
[[4, 10], [6, 8], [8, 8], [6, 6, 6], [6, 9], [8, 8], [9, 9], [], [5, 5, 10], [10, 10], [8, 8], [7, 7], [10, 10], [], [9, 9], [8], [7, 7, 7], [9, 9], [10, 10], [8, 8]]
[[4, 6, 10], [8, 8], [8, 8], [7, 7], [9, 9], [5, 5, 6], [7, 7], [10, 10], [7], [8, 8], [8, 8], [9], [9, 9], [9, 9], [], [], [8, 8], [10, 10], [6, 6, 6], [10], [10, 10]]
[[8, 8], [8, 8], [6, 10], [10], [4, 10], [9, 9], [7, 10], [8, 8], [5, 5, 7], [8, 8], [10], [9, 9], [9, 9], [10], [], [7, 10], [7, 7], [6, 9], [10], [6, 6, 6], [], [8, 8]]
[[4, 10], [8, 8], [8, 8], [6, 9], [9, 9], [6, 8], [7, 7], [5, 5], [8, 10], [], [10], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [10], [10], [7, 10], [10], [], [8, 8], [8, 8]]
[[4, 6, 6], [8, 8], [5, 9], [6, 9], [6, 10], [10], [8, 8], [6, 10], [8, 8], [10], [10], [10], [7, 7], [10], [9], [10], [5], [9], [8, 8], [7, 7], [9], [9], [7, 9], [8, 8]]
[[4, 6, 6], [8, 8], [6, 10], [7, 7], [6, 10], [6, 10], [10], [7, 9], [8, 8], [9], [9], [], [10], [9], [10], [9], [10], [5, 10], [8, 8], [5, 9], [], [9], [8, 8], [7, 7], [8, 8]]
[[6, 9], [8, 8], [8, 8], [5, 10], [4, 10], [], [9], [], [10], [10], [7, 9], [6, 9], [7, 7], [8, 8], [8, 8], [10], [9], [10], [7, 7], [10], [10], [9], [6, 6], [5], [6, 9], [8, 8]]
[[8, 8], [4, 6, 6], [8, 8], [8, 8], [6, 10], [10], [10], [5, 9], [9], [], [10], [9], [5, 9], [10], [6, 9], [8, 8], [10], [7, 9], [], [], [9], [10], [7, 7], [10], [7, 7], [6], [8, 8]]
[[6, 8], [10], [6, 8], [10], [6, 8], [7, 7], [8], [6, 8], [8], [8], [10], [9], [5, 9], [10], [6, 8], [9], [10], [9], [8], [9], [10], [8], [5, 9], [7, 7], [9], [10], [10], [4, 7]]
[[5, 8], [9], [8], [8], [9], [10], [5, 8], [8], [10], [7, 7], [9], [9], [9], [10], [8], [6, 6], [10], [8], [4, 8], [10], [9], [9], [10], [6, 7], [7, 7], [6, 8], [10], [10], [6, 8]]
[[5, 8], [10], [10], [7, 7], [6, 6], [9], [10], [10], [6, 8], [8], [8], [8], [9], [10], [7], [8], [10], [9], [9], [8], [9], [10], [9], [8], [5, 8], [8], [6, 6], [9], [7, 7], [4, 10]]
[[4, 8], [10], [9], [8], [10], [6, 7], [9], [5, 5], [8], [6, 7], [8], [8], [10], [10], [9], [6, 7], [8], [8], [9], [10], [6, 7], [10], [10], [8], [6, 7], [8], [9], [8], [9], [9], [10]]
[[4, 8], [9], [8], [6, 6], [8], [8], [7], [9], [9], [6, 7], [5, 8], [8], [8], [7], [10], [10], [10], [10], [9], [8], [9], [9], [6, 6], [7], [10], [10], [10], [8], [10], [9], [5, 7], [8]]
[[10], [9], [6, 6], [10], [9], [8], [9], [8], [8], [4, 8], [8], [10], [8], [9], [6, 7], [10], [7], [10], [8], [9], [9], [7], [7], [8], [10], [7], [10], [6, 6], [8], [8], [10], [5, 5], [9]]
[[4, 8], [8], [10], [10], [10], [7], [], [8], [8], [8], [8], [8], [5, 7], [8], [9], [10], [6, 6], [10], [9], [9], [9], [6], [10], [9], [5, 7], [8], [6, 6], [8], [7], [10], [9], [9], [7], [10]]
[[4, 8], [9], [10], [9], [], [7], [9], [6, 6], [8], [8], [7], [8], [8], [7], [10], [5, 5], [10], [8], [10], [6, 6], [8], [6], [8], [10], [7], [10], [8], [8], [9], [9], [7], [9], [9], [10], [10]]
[[4, 8], [6, 6], [9], [10], [8], [5, 5], [], [8], [8], [9], [8], [10], [8], [9], [10], [7], [7], [6], [9], [6, 6], [9], [7], [8], [], [10], [7], [10], [7], [9], [9], [8], [10], [8], [8], [10], [10]]
[[8], [10], [9], [9], [10], [9], [10], [8], [], [8], [8], [8], [8], [10], [10], [10], [9], [7], [4, 7], [7], [9], [6], [], [10], [6, 6], [5, 5], [8], [8], [7], [], [10], [9], [8], [9], [7], [6, 6], [8]]
[[8], [8], [7], [10], [10], [10], [10], [9], [], [8], [8], [8], [8], [8], [9], [9], [4, 6], [8], [10], [7], [8], [6], [9], [6], [7], [9], [6], [9], [10], [10], [7], [5, 5], [7], [], [8], [6], [10], [9]]
-EndAllocation

Instance: [[1], [301], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [201, 134, 101, 81, 68, 57, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [151, 101, 76, 61, 51, 43, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10], [6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5], [8, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7], [8, 8, 8, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9, 9], [], [5, 5, 5, 9, 9, 9, 9]]
[[5, 9, 9, 9], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [5, 5, 9, 9, 9, 9], [10, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[6, 10, 10, 10], [7, 7, 7, 7, 7], [5, 5, 5, 8], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9]]
[[8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [5, 5, 5], [8]]
[[7, 7, 7, 7, 7], [], [5, 5, 5], [8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9, 10], [10, 10, 10]]
[[10, 10, 10], [6, 7, 7, 7, 7], [7, 8, 8, 8], [10, 10, 10], [], [6, 6, 6, 6, 10], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [], [5, 5, 5, 9]]
[[7, 7, 7, 7], [7, 8, 8, 8], [9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9], [], [5, 5, 5, 10], [], [10, 10, 10]]
[[8, 8, 8], [8, 8, 8], [8, 8, 8], [7], [8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [9, 10], [6, 10, 10], [5, 5, 5], [6, 6, 6, 6], [7, 7, 7, 7], [10, 10]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [7, 9, 9], [8, 8], [10, 10], [9, 9], [10, 10], [7, 7, 7, 7], [10, 10], [5, 5, 5], [8, 8, 8], [], [6, 10], [9, 9, 9]]
[[8, 8, 8], [6, 6, 6, 6], [8, 8, 8], [6, 7, 10], [8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [], [], [8, 8, 8], [7, 9, 9], [7, 7, 7], [10, 10], [5, 5, 5, 9]]
[[8, 8], [8, 8, 8], [6, 7, 7], [6, 6, 6, 6], [9, 9], [10, 10], [], [7, 7, 7], [10, 10], [], [5, 5, 5, 9], [8, 8, 8], [9, 9], [9, 9], [10, 10], [10], [8, 8, 8]]
[[8, 9], [6, 8, 8], [8, 8], [7, 7, 7], [5, 5, 5], [6, 8, 8], [9, 9], [10, 10], [10, 10], [9, 9], [7, 7], [10, 10], [8, 8], [], [10], [6, 6, 6], [9, 9], [8, 8]]
[[8, 8], [8, 8], [6, 7, 7], [9, 9], [6, 10], [], [6, 6, 6], [8], [9, 9], [10, 10], [8, 8], [9], [8, 8], [10, 10], [7, 7, 7], [5, 5, 5], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8, 8], [6, 6, 7], [6, 6, 8], [6], [8, 8], [9, 9], [], [5, 5, 5], [10, 10], [8, 8], [7, 9], [10, 10], [], [9, 9], [10], [7, 7, 7], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8, 8], [7, 8], [7, 7], [9, 9], [6, 6], [], [10, 10], [7, 7], [8, 8], [5, 5, 5], [9, 9], [10, 10], [9, 9], [], [], [8, 8], [10, 10], [6, 6, 6], [9, 10], [8, 8]]
[[8, 8], [8, 8], [7, 10], [8, 10], [6, 6], [9, 9], [7, 7], [8, 9], [5, 5, 5], [8, 8], [], [9, 9], [9, 9], [10], [], [8, 10], [7, 7], [10], [10], [6, 6, 6], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 9], [9, 9], [6], [7, 7], [5, 5, 5], [10], [], [10], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [10], [], [10], [6, 10], [8, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 9], [10], [10], [9], [8], [6, 9], [8, 8], [9], [9], [9], [7, 7], [5, 10], [5, 10], [10], [6, 6], [9], [8, 8], [7, 7], [5, 6, 6], [10], [10], [8, 8]]
[[6, 9], [8, 8], [8, 8], [7, 7], [], [6, 10], [10], [9], [8, 8], [10], [9], [], [10], [7, 7], [10], [9], [9], [6, 10], [8, 8], [5, 5, 5], [10], [7, 9], [8, 8], [6, 6], [8, 9]]
[[7, 8], [8, 8], [8, 8], [5, 5, 5], [10], [9], [9], [6, 6], [10], [9], [], [6, 9], [7, 7], [8, 8], [9], [10], [7, 7], [10], [10], [10], [10], [9], [6, 6], [8, 8], [9], [8, 8]]
[[7, 8], [8, 8], [8, 8], [8, 8], [10], [], [9], [5, 9], [9], [], [10], [9], [5, 9], [10], [6, 6], [8, 8], [6, 10], [9], [6, 6], [], [9], [10], [7, 7], [10], [7, 7], [5, 10], [8, 8]]
[[5, 8], [7], [6, 8], [6, 8], [6, 8], [6, 8], [7, 7], [9], [9], [8], [9], [9], [10], [8], [5, 8], [10], [10], [9], [10], [9], [10], [10], [5, 9], [8], [8], [10], [6, 8], [7, 7]]
[[6, 8], [8], [8], [10], [9], [7, 7], [5, 8], [8], [10], [8], [8], [9], [8], [10], [10], [6, 6], [7, 7], [10], [9], [6, 8], [9], [9], [10], [8], [10], [9], [5, 8], [6, 7], [5, 9]]
[[10], [5, 5], [7, 7], [9], [6, 8], [9], [5, 9], [10], [9], [7], [6, 8], [6, 8], [6, 8], [10], [8], [8], [8], [9], [8], [8], [9], [10], [10], [8], [10], [10], [9], [6, 8], [], [7, 7]]
[[5, 8], [7], [10], [10], [10], [6, 7], [9], [9], [8], [8], [5, 8], [10], [9], [9], [10], [6, 7], [10], [8], [6, 6], [8], [8], [9], [10], [8], [9], [8], [7], [6, 7], [9], [8], [5, 8]]
[[5, 5], [8], [8], [8], [7], [10], [8], [8], [9], [5, 7], [8], [8], [8], [6, 7], [9], [10], [10], [9], [9], [9], [8], [9], [10], [6, 7], [6, 6], [10], [10], [9], [10], [8], [6, 7], [8]]
[[10], [7], [10], [9], [9], [6, 6], [8], [9], [10], [9], [9], [10], [8], [5, 8], [6, 7], [7], [8], [10], [8], [8], [8], [8], [7], [9], [10], [8], [8], [6, 6], [7], [8], [10], [5, 5], [9]]
[[5, 6], [7], [10], [8], [8], [9], [9], [8], [7], [8], [10], [8], [8], [8], [8], [8], [7], [10], [7], [9], [6, 6], [8], [10], [5, 5], [10], [8], [6, 6], [9], [7], [10], [9], [9], [9], [10]]
[[5, 7], [9], [], [9], [10], [6], [9], [6, 6], [8], [8], [5, 7], [9], [8], [10], [10], [10], [5, 7], [10], [8], [6, 6], [8], [10], [10], [7], [7], [8], [8], [8], [9], [9], [9], [8], [8], [8], []]
[[7], [6, 6], [9], [8], [8], [5, 5], [10], [6], [8], [8], [5, 7], [8], [8], [9], [10], [10], [7], [8], [9], [6, 6], [9], [7], [8], [], [10], [7], [9], [8], [9], [9], [8], [10], [], [8], [10], [10]]
[[8], [8], [9], [9], [10], [9], [10], [8], [8], [8], [8], [5, 7], [], [10], [10], [7], [9], [7], [7], [6, 6], [9], [6], [], [10], [6, 6], [5, 5], [], [10], [8], [8], [10], [9], [8], [9], [8], [8], [7]]
[[5, 5], [8], [7], [7], [10], [10], [10], [9], [8], [8], [8], [6], [8], [8], [9], [9], [7], [8], [10], [], [8], [10], [9], [9], [8], [8], [6], [6], [7], [10], [9], [7], [6], [9], [8], [6], [5], [10]]
-EndAllocation

Instance: [[1], [300], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 32, 29, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 24, 22, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [7, 7, 7, 7, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [6, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9], [8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 10, 10, 10, 10, 10], [5, 9, 9]]
[[10, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [7, 7, 7, 7], [5, 5, 5, 5], [6, 6, 6, 6, 6, 9], [10, 10, 10]]
[[10, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8, 8], [], [10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 9], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9], [], [7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 5, 5, 5, 8]]
[[10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [], [5, 5, 5, 5, 8], [9, 9]]
[[9, 9, 9], [5, 5, 5, 5], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [], [7, 7, 7, 7], [10, 10]]
[[5, 5, 5, 5, 8], [8, 8, 8, 8], [10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [], [8, 8, 10], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [10, 10, 10]]
[[8, 8, 8], [8, 8, 8], [6, 8, 8], [10, 10], [7, 7, 7, 7], [10, 10], [9, 9, 9], [9, 9, 9], [], [10, 10], [5, 5, 5, 5], [6, 6, 6, 6], [8, 8, 8], [10, 10]]
[[9, 9], [8, 8], [10, 10], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 7], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 6], [8, 8, 8], [6, 6, 6, 6], [], [7, 9, 9]]
[[8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9], [6], [7], [9, 9], [8, 8, 8], [10, 10], [8, 8, 8]]
[[8, 10], [6, 10], [7, 8], [8, 8, 8], [9, 9], [10, 10], [], [7, 7, 7], [10, 10], [], [5, 5, 5, 5], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [9, 9], [8, 8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 7, 7], [6, 6, 6], [9, 9], [10, 10], [7, 9], [9, 9], [], [6, 8, 8], [10, 10], [10, 10], [6], [8, 8], [5, 5, 5, 5], [8, 9], [10, 10]]
[[8, 8], [8, 9], [10, 10], [6, 6, 9], [6, 6, 6], [5, 5, 5, 5], [10, 10], [8, 8], [8, 8], [9, 9], [9, 9], [], [10, 10], [], [8, 8], [7, 7, 7], [10, 10], [7], [8, 8]]
[[8, 8], [6, 6, 6], [8], [], [], [9, 9], [9, 9], [6, 6], [5, 5, 5, 5], [10, 10], [8, 8], [7, 7], [10, 10], [10, 10], [9, 9], [8, 8], [7, 7], [8, 8], [10, 10], [8, 8]]
[[7, 7], [8, 8], [8, 8], [8], [], [6, 6, 6], [7, 7], [5, 5, 5, 5], [8, 8], [10, 10], [], [9, 9], [9, 9], [10, 10], [], [6, 6], [8, 8], [10, 10], [9, 9], [10, 10], [8, 8]]
[[6, 8], [10], [8, 8], [10], [10], [8, 8], [9, 9], [10], [7, 7], [8, 8], [6, 10], [7, 7], [10], [], [5, 5, 5], [9, 9], [8, 8], [9, 9], [5, 10], [6, 6, 6], [10], [8, 8]]
[[6, 6, 6], [8, 8], [8, 8], [7, 7], [8, 8], [10], [5, 5, 5], [5, 10], [10], [10], [], [8, 8], [9, 9], [6, 6], [9, 9], [10], [9, 9], [7, 7], [8, 10], [], [10], [8, 8], [10]]
[[8, 8], [8, 8], [9], [6, 10], [8, 8], [10], [10], [6, 9], [10], [9], [9], [9], [7, 7], [6, 6], [9], [10], [7, 7], [10], [5, 10], [8], [6, 10], [5, 5, 5], [8, 8], [8, 8]]
[[8], [8, 8], [10], [5, 5, 5], [10], [9], [6, 10], [9], [7, 7], [8, 8], [6, 6], [9], [10], [10], [8, 8], [], [9], [10], [6, 9], [10], [5, 10], [6, 9], [8, 8], [7, 7], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10], [6, 9], [7, 7], [9], [6, 6], [10], [10], [5, 10], [], [8, 8], [9], [10], [5, 5, 5], [7, 7], [10], [8], [10], [], [9], [6, 10], [9], [6, 9], [8, 8]]
[[8, 8], [6, 6], [8, 8], [6, 8], [10], [10], [10], [5, 9], [9], [10], [10], [9], [5, 5, 5], [10], [6, 9], [8, 8], [7, 7], [9], [], [], [8, 8], [], [7, 7], [10], [9], [6, 10], [8, 8]]
[[10], [7, 7], [10], [6, 8], [6, 8], [10], [8], [7, 7], [5, 8], [8], [8], [8], [9], [10], [8], [6, 8], [10], [9], [10], [9], [5, 9], [9], [10], [5, 5], [9], [6, 8], [10], [6, 8]]
[[7, 7], [9], [6, 8], [6, 8], [9], [6, 8], [7, 7], [9], [8], [8], [8], [10], [8], [10], [10], [9], [5, 5], [5, 5], [9], [6, 8], [10], [10], [9], [10], [8], [10], [8], [10], [6, 8]]
[[6, 7], [6, 7], [5, 8], [8], [9], [8], [8], [10], [10], [9], [10], [9], [5, 8], [8], [5, 8], [10], [6, 7], [10], [6, 6], [9], [9], [9], [10], [7], [10], [8], [10], [8], [8], [5, 8]]
[[9], [8], [8], [10], [10], [8], [10], [7], [8], [6, 7], [9], [5, 8], [10], [6, 6], [10], [6, 7], [10], [8], [9], [10], [8], [9], [10], [8], [8], [5, 5], [5, 8], [6, 7], [9], [8], [9]]
[[5, 7], [9], [8], [8], [6, 7], [9], [5, 8], [8], [9], [8], [8], [8], [8], [7], [8], [10], [10], [10], [6, 6], [9], [6, 6], [5, 5], [10], [8], [10], [10], [10], [9], [10], [7], [8], [9]]
[[5, 5], [9], [8], [9], [9], [8], [10], [8], [5, 5], [10], [9], [8], [8], [8], [7], [10], [8], [10], [10], [8], [8], [8], [7], [9], [6, 7], [10], [8], [6, 6], [7], [10], [10], [6, 6], [9]]
[[5, 5], [9], [10], [8], [10], [5, 5], [6], [8], [9], [8], [8], [8], [8], [8], [10], [7], [6, 6], [10], [7], [9], [8], [10], [10], [8], [9], [8], [6, 6], [7], [7], [10], [9], [9], [8], [10]]
[[7], [9], [10], [9], [10], [10], [9], [6, 6], [8], [8], [7], [8], [8], [9], [10], [5, 5], [], [8], [10], [8], [8], [6, 6], [8], [10], [5, 7], [10], [8], [8], [5, 7], [9], [9], [], [8], [10], [6]]
[[5, 7], [6, 6], [9], [], [9], [5, 5], [10], [8], [8], [10], [8], [8], [8], [6], [10], [], [8], [8], [9], [6, 6], [9], [7], [8], [8], [10], [7], [10], [8], [9], [9], [5], [10], [7], [8], [10], [10]]
[[8], [10], [9], [10], [8], [6], [6, 6], [8], [8], [5, 5], [7], [8], [8], [8], [9], [8], [8], [7], [7], [10], [9], [10], [10], [8], [10], [5, 5], [7], [9], [10], [], [], [9], [], [9], [10], [6, 6], [8]]
[[5, 5], [8], [9], [10], [10], [10], [10], [9], [8], [8], [8], [8], [8], [8], [9], [9], [], [8], [10], [], [8], [7], [9], [6], [7], [9], [6], [6], [10], [10], [7], [7], [5, 5], [10], [8], [6], [8], [6]]
-EndAllocation

Instance: [[1], [299], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7]]
[[3, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8, 8, 8, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [5, 5]]
[[3, 8, 8, 9, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8], [8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [8, 9, 9, 9, 9, 9, 9]]
[[3, 6, 6, 6, 6, 6, 6, 6, 10], [10, 10, 10], [], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 9]]
[[3, 7, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9], [9, 9, 9, 9, 9], [8], [10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8], [5, 5, 8, 8, 8, 10], [7, 7, 7, 7, 7], [], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [9, 9], [6, 6, 6, 6, 6, 6, 6]]
[[3, 5, 5, 6, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10], [8, 8], [9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7]]
[[3, 8, 8, 8, 8], [6, 8, 8, 8], [10, 10, 10], [7, 7], [9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [5, 5, 7, 7, 7], [10, 10, 10]]
[[8, 8, 8, 8], [3, 5, 5, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [10], [9, 9], [6, 6, 9, 9], [7], [7, 7, 7, 7], [8, 8, 8], [10, 10, 10]]
[[3, 6, 6, 6, 6], [6, 6, 6], [10, 10, 10], [5, 5, 7], [8, 8, 8], [9], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8], [10, 10, 10], [8]]
[[3, 10, 10], [8, 8, 8], [9, 9, 9], [9, 10, 10], [8, 10], [5, 5, 7], [9, 9, 9], [10, 10], [6, 6, 6, 6], [], [6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [10, 10]]
[[3, 9, 10], [10, 10], [7, 7, 10], [8, 10], [9, 9], [9, 9], [9, 9], [7, 7, 7], [8, 8, 8], [6, 10, 10], [5, 5, 10], [8, 8, 8], [], [6, 6, 10], [6, 6, 6, 6]]
[[3, 8, 9], [6, 6, 6, 6], [9, 9], [6, 6, 6], [8, 8, 8], [10, 10], [5, 5, 10], [10, 10], [10, 10], [10], [7, 7, 10], [9, 9], [9, 9], [8, 8, 8], [7, 7, 7], []]
[[3, 8], [8, 8, 8], [9, 9], [6, 6], [10, 10], [], [7, 7], [7, 7, 7], [10, 10], [6, 6, 6, 6], [5, 5], [8, 8, 8], [6, 9, 9], [9, 9], [10, 10], [9, 10], [10, 10]]
[[3, 6, 8], [5, 5, 10], [8, 8], [6, 6, 6], [], [7, 9], [7], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [9, 9], [10, 10], [10, 10], [10, 10], [9, 9], [8, 8], [10, 10]]
[[3, 8, 8], [10, 10], [10, 10], [6, 10], [6, 6, 6], [10, 10], [7, 9], [8, 8], [10, 10], [], [7], [9, 9], [7, 7, 7], [], [6, 6, 6], [9, 9], [5, 8], [9, 9], [5, 8, 8]]
[[3, 8, 8], [8, 8], [8, 8], [5, 5, 10], [6, 10], [7, 9], [9, 9], [10, 10], [9, 9], [6, 6, 6], [7, 7], [9, 9], [10], [10, 10], [6, 6, 6], [], [7, 7], [8], [10, 10], []]
[[3, 8], [8, 8], [8, 8], [10, 10], [6, 6, 6], [6, 7, 7], [9, 9], [7, 7], [9, 9], [6, 6, 6], [10], [], [5, 5], [10, 10], [], [7, 9], [8, 8], [10, 10], [9, 9], [10, 10], []]
[[8, 8], [8, 8], [8, 8], [3, 10], [6, 10], [7, 7], [10], [6, 6, 6], [7, 10], [7, 7], [10], [9, 9], [9, 9], [5, 5], [10], [10], [10], [9, 9], [9], [10], [6, 6, 6], [8]]
[[3, 10], [8, 8], [8, 9], [6, 6], [10], [10], [6, 9], [7, 9], [7, 7], [10], [10], [6, 6], [8, 9], [10], [8, 8], [5, 5, 7], [10], [6, 6], [7, 9], [10], [10], [8, 9], [9]]
[[10], [8, 8], [8, 8], [6, 10], [3, 7], [6, 9], [8, 9], [9], [10], [10], [9], [9], [6, 6], [7, 7], [10], [10], [5, 6, 6], [10], [6, 9], [7, 7], [5, 10], [9], [10], [8, 8]]
[[3, 10], [10], [8], [6, 6], [6, 9], [6, 10], [10], [7, 7], [6, 9], [10], [7, 7], [8, 8], [10], [10], [9], [10], [10], [9], [9], [5, 5], [9], [6, 6], [8, 8], [7, 9], [8, 8]]
[[8, 8], [10], [6, 10], [10], [10], [10], [10], [5, 5, 6], [9], [10], [8], [], [7, 7], [6, 9], [7, 9], [8, 8], [7, 7], [9], [8, 8], [6, 9], [], [6, 9], [6, 6], [10], [9], [3, 10]]
[[8, 8], [6, 10], [3, 10], [5, 5], [], [10], [10], [8, 8], [7, 9], [], [6, 10], [9], [6, 9], [10], [7, 7], [10], [8], [9], [7, 7], [9], [8, 8], [10], [6, 6], [9], [9], [6, 6], [10]]
[[9], [6, 8], [5, 8], [9], [6, 8], [6, 8], [9], [7, 7], [5, 9], [10], [6], [10], [6, 8], [8], [7, 7], [10], [10], [7], [10], [9], [10], [6, 8], [6], [9], [10], [9], [10], [3, 10]]
[[6, 7], [3, 7], [10], [5, 5], [6, 7], [6, 8], [8], [9], [10], [10], [9], [8], [10], [9], [9], [10], [6, 8], [9], [9], [10], [10], [10], [6, 6], [7, 7], [8], [10], [8], [9], [6, 8]]
[[3, 9], [6, 7], [10], [10], [8], [10], [6, 7], [10], [10], [8], [10], [6, 6], [9], [8], [9], [10], [6, 7], [8], [6, 7], [9], [9], [8], [9], [8], [10], [5, 8], [9], [10], [6, 7], [5]]
[[3, 9], [10], [10], [10], [8], [6, 7], [8], [9], [8], [5, 8], [10], [5, 8], [6, 7], [9], [7], [10], [10], [9], [9], [6, 6], [9], [6], [9], [7], [10], [7], [8], [8], [6, 6], [10], [10]]
[[3, 8], [9], [10], [6, 7], [], [9], [6, 6], [5, 8], [9], [9], [9], [8], [], [6, 7], [8], [8], [10], [6], [9], [8], [10], [6, 7], [10], [9], [5, 7], [10], [8], [10], [10], [10], [6, 7], [10]]
[[3, 9], [10], [9], [], [8], [8], [10], [6, 6], [9], [5, 8], [5, 7], [10], [8], [10], [10], [9], [6, 7], [10], [10], [9], [10], [9], [7], [], [10], [8], [8], [6, 6], [7], [7], [8], [6, 6], [9]]
[[8], [8], [6], [7], [], [10], [10], [6, 6], [9], [3, 9], [5, 7], [8], [7], [10], [8], [6], [5, 7], [10], [7], [10], [9], [9], [9], [8], [8], [6, 6], [10], [9], [10], [8], [10], [10], [9], [6]]
[[3, 9], [9], [], [9], [6, 6], [9], [7], [8], [], [6], [9], [10], [5, 5], [8], [10], [7], [10], [10], [7], [8], [10], [8], [10], [8], [7], [7], [6, 6], [10], [9], [8], [9], [6, 6], [10], [8], [10]]
[[3, 8], [6, 6], [9], [10], [9], [5, 5], [10], [8], [8], [8], [8], [8], [6], [9], [], [7], [7], [10], [9], [6, 6], [9], [10], [10], [10], [10], [7], [9], [7], [9], [10], [8], [], [6, 6], [10], [7], []]
[[3, 8], [10], [9], [9], [9], [7], [10], [8], [8], [7], [10], [8], [10], [8], [10], [8], [9], [10], [], [6, 6], [10], [6, 6], [6], [7], [6, 6], [5, 5], [10], [], [7], [], [7], [9], [10], [9], [8], [], [9]]
[[8], [8], [6], [7], [6], [10], [10], [7], [10], [3], [8], [8], [10], [8], [10], [10], [8], [9], [9], [9], [9], [6], [8], [9], [10], [10], [10], [], [9], [6], [7], [6], [9], [7], [5, 5], [7], [6], [6]]
-EndAllocation

Instance: [[1], [298], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [198, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [149, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 8, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7, 7], [5, 5, 5, 5]]
[[8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10, 10], [7, 7, 7, 7, 7, 9]]
[[10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7], [9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10], [5, 5, 5, 5, 7, 7], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [7, 7, 7, 7, 7], [], [10, 10, 10, 10], [9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10]]
[[5, 5, 5, 5, 10, 10], [8, 8, 8, 8, 8], [8, 8], [6, 6, 6, 6], [], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9], [10, 10, 10], [7, 7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 9], []]
[[8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9], [7, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10]]
[[6, 6, 6, 6], [8, 8, 8], [9], [5, 5, 5, 5, 7], [8, 8, 8], [], [9, 9, 9], [9, 9, 9], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8], [10, 10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [9, 10, 10], [8, 8, 8], [], [9, 9, 9], [10, 10], [6, 6, 6, 6], [9, 9, 9], [], [7, 7, 7, 7], [8, 8, 8], [7, 10, 10]]
[[10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 9], [9, 9], [9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [5, 5, 5, 5], [8, 8, 8], [9, 9], [], [6, 6, 6, 6]]
[[8, 8, 8], [6, 6, 6, 6], [7, 9, 9], [9], [8, 8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [], [], [7, 9, 9], [9, 9], [8, 8, 8], [7, 7, 7], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [9, 9], [], [10, 10], [], [7, 7], [7, 7, 7], [10, 10], [6, 6, 6, 6], [5, 5, 5, 5], [8, 8, 8], [9, 9], [9, 9], [10, 10], [9], [8, 8, 8]]
[[8, 8], [9, 9], [8, 8], [6, 6, 6], [7, 7], [5, 5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [8, 8], [6], [9, 9], [8, 8], [10, 10], [9], [10, 10], [8, 8], [8, 8]]
[[5, 8, 8], [5, 8, 8], [10, 10], [7, 7, 7], [6, 6, 6], [10, 10], [], [8, 8], [], [5, 8, 8], [8, 8], [9, 9], [5, 7, 7], [9], [6], [9, 9], [8, 8], [9, 9], [10, 10]]
[[8, 8], [8, 8], [7], [8, 8], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [9, 9], [6, 6, 6], [7, 7], [6, 9], [], [10, 10], [], [8, 8], [7, 7], [8, 8], [10, 10], [8, 8]]
[[7, 7], [8, 8], [8, 8], [10, 10], [], [6, 7], [9, 9], [7, 7], [9, 9], [6, 6, 6], [], [8, 8], [5, 5, 5, 5], [10, 10], [8, 8], [], [8, 8], [10, 10], [9, 9], [9], [8, 8]]
[[8, 8], [5, 8], [8, 8], [8, 10], [10], [7, 7], [9], [6, 10], [7, 10], [7, 7], [], [9, 9], [9, 9], [5, 5, 5], [], [8, 8], [8, 8], [9, 9], [10], [10], [6, 6, 6], [8, 8]]
[[5, 9], [8, 8], [8, 8], [6, 9], [9], [], [6, 10], [7, 10], [7, 7], [10], [9], [6, 9], [8, 8], [], [8, 8], [5, 5, 5], [9], [7, 9], [7, 10], [10], [6, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [5, 10], [6, 10], [7, 10], [7, 9], [9], [10], [], [8, 8], [8, 9], [8, 9], [6, 6], [7, 7], [], [9], [8, 8], [10], [9], [6, 7], [5, 5, 5], [9], [10], [8, 8]]
[[5, 8], [8, 8], [8, 8], [6, 8], [9], [5, 5, 5], [7], [7, 7], [6, 6], [10], [10], [8, 8], [10], [9], [9], [9], [10], [9], [9], [10], [9], [6, 10], [8, 8], [7, 7], [8, 8]]
[[5, 10], [8, 8], [10], [5, 5, 5], [10], [9], [10], [6, 6], [], [], [8, 8], [], [7, 7], [9], [9], [8, 8], [7, 7], [9], [6, 10], [8, 8], [10], [9], [6, 9], [7, 9], [8, 8], [8, 8]]
[[6, 9], [6, 6], [8, 8], [5, 5, 5], [], [10], [8, 8], [8, 8], [9], [], [], [9], [9], [10], [7, 7], [7, 9], [10], [10], [7, 7], [9], [8, 8], [10], [8, 8], [9], [10], [5, 6], [8, 8]]
[[5, 7], [5, 8], [6, 8], [10], [10], [9], [8], [7, 7], [8], [7, 7], [10], [10], [9], [10], [10], [6, 8], [8], [8], [6, 8], [9], [9], [9], [8], [5, 8], [9], [8], [5, 9], [6, 8]]
[[6, 8], [9], [8], [9], [9], [10], [7, 7], [8], [10], [8], [10], [8], [8], [8], [8], [5, 9], [5, 8], [8], [6, 6], [10], [10], [8], [6, 7], [7, 7], [10], [9], [9], [5, 9], [5, 8]]
[[9], [9], [10], [8], [5, 7], [9], [6, 7], [8], [8], [8], [10], [9], [6, 7], [9], [8], [9], [10], [10], [6, 7], [8], [6, 7], [9], [8], [10], [8], [8], [5, 8], [10], [5, 8], [5, 8]]
[[5, 8], [9], [9], [8], [10], [10], [9], [8], [5, 8], [5, 7], [6, 7], [7], [8], [8], [10], [7], [10], [8], [8], [6, 6], [6, 7], [10], [8], [10], [8], [5, 8], [9], [9], [9], [9], [8]]
[[5, 7], [9], [8], [8], [8], [6, 7], [8], [9], [9], [10], [6, 7], [8], [9], [8], [7], [10], [10], [10], [9], [9], [5, 8], [5, 5], [10], [7], [6, 6], [8], [10], [8], [8], [8], [8], [9]]
[[5, 5], [9], [5, 8], [7], [7], [9], [9], [7], [10], [10], [5, 8], [8], [8], [10], [8], [9], [8], [9], [8], [8], [10], [7], [8], [9], [10], [8], [8], [6, 6], [7], [9], [10], [6, 6], [8]]
[[8], [8], [10], [9], [10], [5, 5], [9], [9], [7], [5, 7], [5, 7], [8], [7], [8], [8], [8], [6, 6], [10], [9], [9], [8], [8], [], [8], [8], [8], [6, 6], [10], [7], [10], [9], [9], [10], [8]]
[[8], [9], [10], [9], [7], [10], [9], [6, 6], [5, 7], [8], [5, 7], [8], [8], [8], [10], [5, 5], [8], [8], [10], [6, 6], [7], [], [8], [10], [], [10], [8], [8], [9], [9], [9], [7], [8], [8], [9]]
[[5, 7], [6, 6], [9], [9], [8], [5, 5], [10], [8], [8], [7], [8], [8], [8], [9], [10], [7], [8], [], [9], [6, 6], [9], [7], [8], [], [10], [5, 7], [9], [8], [9], [], [8], [10], [8], [8], [10], [10]]
[[5, 6], [8], [9], [9], [8], [9], [6], [8], [5, 7], [8], [8], [8], [8], [8], [10], [7], [9], [10], [7], [8], [10], [], [9], [7], [6, 6], [5, 5], [10], [], [8], [10], [9], [8], [10], [9], [8], [], [7]]
[[6], [8], [8], [6], [10], [9], [10], [10], [8], [8], [8], [8], [8], [8], [9], [10], [9], [9], [], [10], [8], [], [8], [7], [9], [7], [7], [9], [8], [7], [6], [10], [9], [7], [5, 5], [5, 5], [8], [6]]
-EndAllocation

Instance: [[1], [297], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,38. UB Alg: [198, 132, 100, 80, 66, 57, 50, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [149, 99, 75, 60, 50, 43, 38, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,38:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [5, 5, 5, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8], [5, 5, 5, 10, 10, 10, 10, 10, 10]]
[[7, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 8], [10], [9, 9, 9, 9, 9, 9]]
[[6, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [], [8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 10, 10], [9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [5, 5, 5, 9, 10, 10], [], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [7], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10], [7, 7, 7, 9, 9], [5, 5, 5, 8], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 5, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7], [], [10, 10, 10], [6, 8]]
[[5, 8, 8, 8], [8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [6, 9, 9], [5, 10, 10, 10], [], [8, 8, 8, 8], [5, 10, 10, 10], [10]]
[[8, 8, 8], [5, 5, 5], [], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 10]]
[[10, 10, 10], [5, 8, 8, 8], [10], [7, 7, 7, 7], [5, 5, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [6, 6], [9, 9, 9], [], [8, 8, 8], [10, 10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [8, 8, 8], [8, 8], [10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [], [10, 10], [5, 5, 5], [6, 6, 6, 10], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6], [10, 10], [9, 9], [9, 9], [8, 8, 10], [6, 6, 6, 6], [7, 7, 7], [10, 10], [5, 5, 5, 7], [8, 8, 8], [], [10, 10], [9, 9]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9], [8, 8], [8, 8, 8], [6, 6, 6], [], [10, 10], [7, 9, 9], [10, 10], [10, 10], [], [9, 9], [8, 8, 8], [7, 7, 7], [5, 5, 5, 10]]
[[10, 10], [6, 6, 6, 6], [7, 7, 7], [6, 9, 9], [8, 8], [10, 10], [9, 10], [8, 8, 8], [], [7], [5, 5, 5], [8, 8, 8], [6, 6, 9], [9, 9], [10, 10], [], [8, 8, 8]]
[[6, 8], [8, 8], [8, 8], [10, 10], [], [9, 9], [10, 10], [10, 10], [7, 7, 7], [8, 8], [6, 6, 6], [9, 9], [6, 6, 6], [10], [8, 8], [5, 5, 5, 7], [9, 9], [8, 8]]
[[5, 8, 8], [7, 10], [6], [9, 9], [6, 6, 6], [9, 9], [], [8], [5, 8, 8], [9, 9], [8, 8], [], [10, 10], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [10, 10], [5, 8, 8]]
[[5, 8], [8, 8], [8, 8], [6, 6, 6], [], [8, 8], [9, 9], [10, 10], [9, 9], [5, 5, 10], [8, 8], [7, 7], [10, 10], [], [9, 9], [], [6, 7, 7], [6, 6, 6], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [7, 7], [5, 5, 5], [10], [8], [], [6, 6, 6], [9, 9], [10, 10], [6], [], [9, 9], [8, 8], [7, 7], [10, 10], [8, 8]]
[[7, 7], [8, 8], [8, 8], [10], [5, 5, 5], [6, 6, 6], [8, 8], [9, 9], [10], [9, 9], [10], [8, 8], [8, 8], [6, 6, 6], [10], [9, 9], [10], [7, 10], [], [7, 10], [], [6, 8]]
[[8], [8, 8], [6, 10], [8, 8], [8, 8], [6, 6], [5, 5, 5], [6, 6], [6, 10], [10], [8, 8], [9], [7, 9], [10], [7, 7], [9], [6, 9], [10], [10], [10], [9], [7, 9], [8, 8]]
[[8, 8], [8, 8], [5, 8], [10], [7, 7], [6, 10], [9], [6, 9], [], [5, 5, 6], [9], [10], [7, 7], [8, 8], [9], [10], [6, 6], [10], [10], [6, 9], [6, 10], [9], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 6], [6, 9], [5, 5, 5], [7, 7], [7, 7], [6, 9], [], [10], [8, 8], [10], [10], [8, 8], [10], [10], [9], [6, 9], [9], [10], [6, 6], [9], [10], [8]]
[[10], [8, 8], [10], [6, 9], [9], [9], [9], [6, 6], [10], [10], [8], [], [7, 7], [9], [10], [5, 5, 5], [7, 7], [10], [8, 8], [8, 8], [9], [10], [6, 6], [6, 6], [8, 8], [8, 8]]
[[7, 7], [6, 8], [5, 8], [10], [10], [6, 8], [8], [5, 9], [10], [6, 8], [8], [8], [6, 8], [10], [9], [9], [7, 7], [6, 8], [8], [9], [10], [9], [9], [10], [10], [6, 6], [5, 8]]
[[6, 8], [], [5, 8], [5, 9], [6, 8], [6, 6], [8], [9], [10], [7, 7], [10], [6, 8], [9], [10], [9], [10], [5, 9], [8], [10], [10], [9], [6, 8], [8], [7, 7], [10], [8], [8], [6, 8]]
[[5, 9], [10], [6, 6], [5, 8], [10], [8], [6, 6], [10], [8], [10], [8], [10], [10], [9], [10], [8], [5, 9], [8], [8], [8], [7, 7], [8], [6, 8], [9], [6, 6], [9], [9], [8], [7, 7]]
[[9], [5, 8], [9], [6, 7], [5, 8], [10], [8], [8], [6, 6], [9], [10], [8], [6, 7], [8], [8], [8], [6, 7], [10], [6, 6], [9], [8], [10], [10], [8], [9], [7], [10], [10], [9], [5, 8]]
[[5, 8], [9], [8], [8], [6, 6], [8], [9], [5, 5], [9], [8], [7], [6, 6], [10], [8], [10], [9], [10], [8], [8], [6, 7], [10], [8], [10], [9], [9], [6, 7], [10], [6, 7], [10], [8], [8]]
[[6, 7], [6], [8], [8], [10], [8], [8], [9], [8], [10], [5, 8], [5, 8], [9], [8], [10], [10], [9], [6], [6, 7], [10], [8], [5, 7], [9], [9], [10], [9], [6, 7], [10], [], [6, 6], [8], [8]]
[[8], [9], [6, 6], [9], [9], [8], [9], [10], [8], [8], [5, 7], [6], [8], [8], [7], [10], [8], [10], [8], [8], [8], [8], [7], [9], [10], [10], [9], [6, 6], [7], [10], [10], [6, 6], [5, 5]]
[[5, 5], [8], [10], [8], [6], [9], [10], [8], [10], [8], [8], [5, 7], [8], [8], [9], [7], [6, 6], [10], [9], [9], [8], [], [10], [8], [9], [10], [6, 6], [8], [7], [7], [6, 6], [9], [8], [10]]
[[5], [7], [9], [10], [8], [5, 7], [7], [8], [8], [8], [8], [8], [9], [10], [6], [5], [8], [10], [9], [8], [6], [10], [10], [6, 6], [10], [10], [9], [9], [6], [9], [8], [7], [8], [6, 6], [8]]
[[8], [6, 6], [9], [], [8], [10], [10], [8], [8], [5, 6], [8], [8], [8], [9], [10], [7], [7], [5, 5], [9], [6, 6], [9], [7], [8], [], [10], [7], [9], [8], [9], [], [8], [10], [6, 6], [8], [10], [10]]
[[6, 6], [8], [9], [8], [10], [9], [10], [8], [8], [5, 6], [8], [8], [8], [10], [10], [7], [9], [7], [8], [10], [9], [], [7], [7], [6, 6], [5, 5], [], [], [], [10], [8], [9], [10], [9], [8], [6, 6], [8]]
[[5, 5], [8], [7], [10], [10], [8], [10], [9], [8], [8], [9], [8], [8], [6], [9], [9], [8], [8], [10], [], [8], [8], [9], [6], [6], [6], [6], [6], [7], [10], [9], [5], [10], [7], [8], [6], [7], [10]]
-EndAllocation

Instance: [[1], [312], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 10, 10, 10]]
[[6, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10]]
[[6], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [9, 9, 10, 10, 10, 10]]
[[6, 7, 8, 8], [10, 10, 10, 10, 10, 10], [5, 8, 8, 8, 8, 8, 8, 8, 8], [5, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [8, 10, 10, 10, 10, 10, 10]]
[[6, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [8, 8, 8], [9, 9], [5, 5, 6, 6, 6, 6, 6, 6, 6, 8]]
[[6, 8, 8, 8, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [8, 8, 9, 9], [8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6], [], [7, 7, 7, 7]]
[[8, 8, 8, 8, 10], [5, 8, 8, 8, 8, 8], [8, 8, 10, 10, 10], [10, 10, 10, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [5, 6, 7, 7, 7, 7], [9, 9]]
[[5, 5, 6, 6, 6, 6, 6], [10, 10, 10, 10], [6], [7, 7, 7, 7, 8], [8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [], [8, 8, 8, 8, 8], [6, 6, 8, 9, 9]]
[[6, 8, 8, 8, 8], [8, 8, 8], [5, 5, 7], [], [10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 10], [7, 10, 10, 10], [8, 8, 8, 8], [6, 10, 10, 10], [7, 7, 10, 10]]
[[8, 8, 8, 10], [10, 10, 10], [6, 10], [6], [9, 9, 10], [6, 6, 6, 6, 6], [10, 10, 10], [5, 5], [10, 10, 10], [6, 7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[6, 7, 8, 10], [10], [10, 10, 10], [], [9, 9], [6, 10, 10], [8, 8, 8, 8], [10, 10, 10], [6, 7, 7, 7], [8, 8, 8, 8], [8, 10, 10], [6, 6, 6, 6, 6], [5, 5, 8]]
[[6, 8, 8, 8], [10, 10, 10], [6, 8, 8], [10, 10, 10], [], [], [10, 10, 10], [9, 9], [6, 8, 8, 8], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 5]]
[[8, 8], [6, 6, 6, 6], [10, 10], [5, 5, 10], [9, 9], [10, 10], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 6, 10], [7, 10, 10], [6], [8, 8, 8], [7, 7, 7]]
[[8, 8], [], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8, 8], [5, 5, 6, 6], [8, 8, 8], [8, 8, 8], [6, 10, 10], [6, 9, 9], [6, 6, 6, 7], [6, 10, 10], [7, 7, 7], []]
[[8, 8, 8], [5, 5, 8], [8], [10, 10], [7], [10, 10], [6, 6, 6, 6], [7, 7, 7], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6], [10, 10], [10, 10], [6, 9], [8, 8, 8], [9]]
[[8, 8, 8], [10, 10], [9, 9], [], [], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 6], [10, 10], [10, 10], [10, 10], [5, 5, 8], [6, 7, 8], [7, 7, 7], [], [6, 6, 6, 6]]
[[6, 6, 6], [5, 5], [], [10, 10], [8, 8], [10, 10], [8, 8], [6, 6, 6], [6, 8, 8], [6, 8, 8], [8, 8], [7], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [10, 10], [8]]
[[8, 8], [10, 10], [8, 8], [6, 10], [10], [], [9, 9], [6, 10], [8, 8], [6, 6, 8], [8, 8], [10, 10], [6, 6, 6], [10], [5, 5, 7], [8, 8], [6, 10], [7, 10], [7, 10], [7, 10]]
[[8, 8], [10, 10], [10, 10], [], [6, 6, 6], [10, 10], [], [10, 10], [8, 8], [8, 8], [8, 8], [6, 6, 6], [5, 5, 6], [6, 7, 7], [7, 7], [10, 10], [9, 9], [8], [], [10, 10], [8, 8]]
[[8, 8], [7, 7], [10, 10], [10, 10], [], [], [10, 10], [8, 8], [8, 8], [6, 6, 6], [5, 8], [6, 8], [8, 8], [10, 10], [6, 8], [9, 9], [6, 6, 6], [10, 10], [], [10, 10], [5, 7, 7], []]
[[6, 10], [8, 8], [8, 8], [9, 9], [6, 10], [7, 7], [7, 7], [10], [8, 8], [6, 10], [6, 10], [6, 10], [8, 10], [], [10], [10], [8, 8], [10], [6, 6, 6], [5, 5], [10], [10], [8, 8]]
[[6, 8], [8, 9], [10], [8, 8], [10], [8], [7, 10], [10], [6, 6], [8, 8], [8, 8], [6, 10], [5, 10], [10], [6, 6], [10], [7, 7], [10], [7, 9], [6, 6], [10], [10], [5, 10], [8, 8]]
[[6, 10], [6, 10], [8, 8], [6, 10], [], [10], [7, 7], [8, 8], [8, 8], [6, 10], [8, 8], [6, 10], [10], [10], [8], [6, 10], [5, 5], [7, 7], [10], [10], [10], [6, 6], [9], [8, 8], [9]]
[[6, 10], [8], [10], [5, 5], [8, 8], [10], [10], [6, 9], [8, 8], [6, 6], [6, 10], [10], [6, 10], [8, 8], [8, 8], [9], [10], [10], [], [10], [7, 7], [10], [7, 7], [6, 6], [8, 8], [10]]
[[6, 6], [8, 8], [], [], [10], [10], [6, 9], [7, 7], [8, 8], [6, 6], [8, 8], [6, 8], [9], [6, 10], [10], [10], [10], [8, 8], [10], [7, 7], [10], [5, 5], [8, 8], [6, 10], [10], [10], [10]]
[[6, 10], [10], [8, 8], [], [], [9], [9], [10], [8, 8], [8, 8], [8, 8], [8], [10], [10], [7, 7], [10], [6, 6], [7, 7], [10], [10], [10], [6, 10], [6, 6], [10], [8, 8], [6, 6], [10], [5, 5]]
[[7, 7], [10], [6, 8], [6, 8], [8], [8], [10], [5, 8], [8], [7, 7], [8], [9], [8], [10], [10], [10], [10], [10], [10], [10], [6, 6], [10], [5, 8], [9], [10], [10], [6, 8], [6, 8], [6, 6]]
[[10], [5, 8], [8], [10], [8], [7, 7], [8], [8], [6, 6], [6, 8], [8], [8], [9], [10], [6], [10], [6, 8], [5, 8], [7, 7], [10], [10], [10], [10], [10], [10], [10], [6, 8], [6, 6], [9], [10]]
[[7, 7], [5, 5], [10], [10], [10], [8], [10], [10], [6, 6], [6, 8], [9], [6, 8], [10], [10], [6, 6], [8], [10], [8], [8], [10], [7, 7], [8], [10], [6, 6], [10], [8], [8], [8], [8], [10], [9]]
[[6, 7], [8], [8], [6, 6], [10], [6, 7], [6, 7], [6, 6], [8], [10], [8], [8], [8], [9], [10], [8], [8], [10], [10], [8], [8], [10], [10], [10], [10], [8], [9], [5, 5], [10], [10], [10], [6, 7]]
[[7], [10], [8], [8], [10], [8], [8], [10], [10], [6, 7], [10], [8], [6], [9], [9], [10], [8], [8], [6, 6], [10], [8], [8], [10], [5, 5], [10], [6, 6], [10], [8], [10], [6, 7], [6, 7], [8], [10]]
[[8], [6], [5, 5], [10], [7], [7], [8], [10], [9], [8], [8], [9], [8], [8], [6, 6], [8], [8], [6, 6], [10], [8], [10], [8], [6, 7], [10], [8], [10], [10], [10], [10], [7], [10], [10], [6, 6], [10]]
[[8], [6, 6], [6, 6], [6], [5, 5], [7], [8], [10], [8], [8], [8], [7], [8], [8], [8], [10], [10], [9], [10], [10], [10], [10], [9], [7], [8], [10], [6], [10], [8], [10], [10], [7], [8], [10], [6, 6]]
[[8], [8], [10], [6], [10], [10], [6, 6], [8], [8], [5, 5], [8], [8], [7], [6, 6], [6], [9], [8], [8], [8], [10], [8], [10], [6, 6], [10], [7], [10], [9], [], [7], [10], [10], [10], [7], [8], [10], [10]]
[[7], [8], [7], [6, 6], [8], [8], [5, 5], [8], [8], [10], [8], [9], [10], [6], [10], [8], [10], [8], [10], [8], [10], [10], [10], [6], [10], [7], [6, 6], [10], [10], [8], [9], [], [6], [10], [6], [7], [8]]
[[8], [8], [8], [7], [6, 6], [10], [9], [10], [7], [10], [8], [10], [7], [10], [6, 6], [10], [5, 5], [8], [6, 6], [10], [6], [7], [10], [10], [10], [8], [6], [], [], [10], [8], [8], [10], [], [8], [9], [8], [8]]
[[8], [8], [8], [6], [6], [8], [10], [6], [10], [10], [8], [10], [10], [8], [7], [7], [10], [5, 5], [6], [8], [9], [10], [6], [7], [7], [8], [10], [6], [10], [6], [10], [6], [8], [], [9], [10], [8], [10], [8]]
-EndAllocation

Instance: [[1], [311], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [5, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 9, 9, 10, 10]]
[[], [4, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 7, 10, 10, 10, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 6, 8, 9, 9, 10]]
[[], [5, 5, 5, 5, 6, 7, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10], [8, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10], [8, 9, 9, 10, 10, 10], [6, 7, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [10, 10, 10]]
[[], [5, 6, 10, 10, 10, 10], [5, 8, 10, 10, 10], [10, 10, 10, 10, 10], [9, 9, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10, 10, 10], [5, 5, 7, 10, 10]]
[[], [8, 10, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10, 10], [9, 9, 10, 10], [7, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10], [6, 10, 10, 10, 10], [10, 10, 10, 10]]
[[], [7, 10, 10, 10], [5, 5, 5, 5, 8, 10], [4, 4, 4, 4, 4, 4, 4, 4, 10], [10, 10, 10, 10], [], [6, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [6, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 8, 10], [10, 10, 10], [9, 9, 10, 10], [7, 10, 10, 10], [10, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [10, 10], [9, 9, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 7], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [6, 10, 10], [8, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [7, 10, 10], [9, 9, 10], [10, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10], [10, 10, 10], [], [8, 10], [6, 10, 10]]
[[], [5, 8], [10], [5, 5, 10, 10], [], [6, 7, 10], [4, 5, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 10]]
[[], [7, 10, 10], [8, 10], [10, 10], [10, 10], [10, 10], [6, 10, 10], [4, 10, 10], [9, 9, 10], [5, 5, 5, 5], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4, 4], [10, 10], [10, 10]]
[[10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 10], [7, 10], [8, 9, 9], [6, 10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [4, 4, 4, 4, 4, 4], [10], [10, 10]]
[[], [10, 10], [10, 10], [9, 10], [10, 10], [10, 10], [10, 10], [4, 10, 10], [6, 7, 9], [8, 10], [10, 10], [4, 4, 4, 4, 4, 4], [], [10, 10], [4, 10, 10], [10, 10], [5, 5, 5, 5]]
[[], [10, 10], [10, 10], [10, 10], [4, 4, 10], [5, 5, 5], [7, 10], [10, 10], [5, 6, 8], [10, 10], [], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [9, 9], [10, 10]]
[[], [10, 10], [10, 10], [10, 10], [6, 10], [10, 10], [10, 10], [9, 9], [], [10, 10], [10, 10], [4, 4, 4, 4, 4], [8, 10], [10, 10], [], [7, 10], [5, 5, 5, 5], [4, 4, 4, 10], [10, 10]]
[[], [4, 4, 4, 4, 4], [10, 10], [4, 4, 4], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [8, 10], [10, 10], [9, 10], [], [7, 9], [], [6]]
[[], [6, 10], [10, 10], [4, 4, 4, 4, 4], [], [9, 9], [10, 10], [10], [10, 10], [5, 5, 5, 5], [8, 10], [4, 4, 4], [10, 10], [10, 10], [7, 10], [10, 10], [10, 10], [10, 10], [], [10, 10], []]
[[], [], [10, 10], [10, 10], [], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [10], [], [10, 10], [9, 9], [10, 10], [], [6, 10], [4, 4, 4, 4, 4], [10, 10], [4, 4, 4], [10, 10], [7, 8], [10, 10]]
[[10], [7, 10], [8, 10], [10], [10], [10], [10], [10], [4, 4, 10], [5, 10], [6, 10], [10], [10], [5, 10], [9, 9], [10], [10], [5, 10], [5, 10], [10], [4, 4, 10], [4, 4, 10], [4, 4, 10]]
[[10], [5, 10], [8, 9], [10], [4, 10], [4, 10], [7, 10], [10], [4, 10], [5, 10], [4, 10], [4, 10], [6, 10], [10], [4, 10], [4, 10], [5, 10], [9], [5, 10], [10], [4, 10], [10], [10], [10]]
[[10], [10], [10], [5, 10], [4, 4, 4, 4], [10], [6, 10], [10], [10], [10], [4, 10], [10], [9], [4, 10], [5, 10], [5, 10], [4, 10], [10], [10], [4, 10], [10], [7, 10], [5, 10], [8, 9], [10]]
[[10], [10], [10], [10], [5, 10], [5, 10], [4, 8], [10], [7, 9], [6, 10], [10], [10], [4, 10], [4, 10], [5, 10], [10], [4, 4, 4, 4], [10], [10], [9], [10], [10], [10], [5, 10], [10], [4, 10]]
[[10], [10], [10], [7, 8], [10], [10], [4, 10], [10], [10], [4, 10], [10], [5, 5, 5], [6, 10], [5, 10], [9], [10], [10], [10], [10], [10], [10], [4, 10], [10], [4, 4, 4, 4], [10], [4, 9], [10]]
[[10], [9], [8], [5, 10], [10], [10], [10], [10], [10], [4, 10], [10], [10], [10], [5, 5, 5], [10], [6, 10], [10], [10], [4, 10], [10], [4, 4, 4, 4], [9], [10], [4, 10], [10], [10], [7], [4, 10]]
[[10], [10], [10], [5, 9], [10], [5, 7], [4, 4, 4], [10], [10], [10], [10], [10], [10], [6], [10], [10], [10], [10], [10], [5, 8], [10], [5, 9], [10], [10], [4, 10], [10], [4, 10], [4, 4, 4], [10]]
[[8], [10], [10], [10], [10], [9], [9], [10], [10], [10], [10], [10], [10], [10], [10], [10], [4, 10], [4, 4, 4], [10], [10], [4, 4, 4], [10], [5, 5], [4, 5, 5], [10], [10], [10], [10], [6, 7], [10]]
[[10], [10], [10], [10], [10], [10], [4, 4], [9], [10], [10], [5, 5], [10], [10], [10], [10], [10], [5, 6], [10], [4, 4, 4], [8], [5, 9], [10], [10], [10], [10], [4, 4, 4], [7], [10], [10], [10], [10]]
[[9], [10], [10], [10], [9], [10], [5, 5], [10], [10], [10], [8], [10], [4, 4, 4], [10], [10], [10], [10], [4, 4], [5, 5], [4, 4, 4], [10], [10], [10], [10], [10], [10], [6], [7], [10], [10], [10], [10]]
[[10], [10], [9], [10], [5, 8], [10], [10], [5], [10], [10], [10], [10], [4, 4, 4], [10], [4, 7], [5, 5], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [], [6], [10], [10], [4], [10], [9], [10], [10]]
[[10], [], [10], [10], [9], [10], [9], [10], [10], [10], [10], [10], [10], [10], [10], [4, 4], [5, 5], [7], [10], [10], [10], [8], [4, 4, 4], [10], [10], [10], [6], [10], [10], [4, 4, 4], [5, 5], [10], [10], []]
[[10], [5, 5], [4, 4, 4], [10], [6], [10], [4, 4], [10], [10], [10], [7], [], [10], [10], [10], [10], [10], [10], [10], [10], [5, 5], [10], [10], [10], [10], [], [], [8], [10], [4, 4, 4], [9], [10], [10], [10], [9]]
[[10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [5, 5], [10], [10], [4, 4, 4], [10], [10], [8], [10], [], [], [], [10], [6], [4, 4], [9], [10], [9], [10], [10], [10], [5, 5], [], [10], [10], [10], [10], [7]]
[[10], [7], [4, 4, 4], [4, 4], [], [], [], [10], [10], [10], [10], [9], [5, 5], [10], [10], [10], [10], [6], [10], [10], [10], [10], [10], [9], [4, 4, 4], [8], [], [10], [10], [10], [10], [10], [5, 5], [], [10], [10], [10]]
[[9], [10], [10], [10], [10], [9], [10], [5, 5], [10], [10], [], [10], [10], [], [10], [5, 5], [], [10], [], [10], [10], [10], [10], [10], [8], [10], [4, 4, 4], [], [4, 4, 4], [10], [6], [], [10], [10], [10], [7], [10], [4, 4]]
[[10], [10], [10], [10], [10], [10], [], [10], [4, 4], [10], [], [7], [10], [4, 4], [4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [10], [6], [9], [], [9], [], [10], [8], [10], [5, 5], [5, 5], [], [10], [4, 4], [10], []]
-EndAllocation

Instance: [[1], [310], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [206, 138, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [155, 104, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10]]
[[4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[4, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7], [], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 10]]
[[4, 5, 10, 10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 8, 8], [], [5, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10]]
[[6, 6, 6, 6, 6, 10, 10, 10], [4, 5, 5, 5, 9], [7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], []]
[[4, 5, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10], [6, 6, 6, 6, 6, 9, 9], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [7, 7, 7, 7]]
[[4, 8, 8, 8, 8, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10], [8], [10, 10, 10, 10], [5, 5, 5], [7, 7, 7, 7, 10], [6, 6, 6, 6, 6, 9]]
[[8, 8, 8, 8, 8], [7, 7, 7, 7], [], [10, 10, 10, 10], [8, 8, 8, 8, 8], [5, 5, 5, 10], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10, 10], [4, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 5], [], [10, 10, 10], [6, 6, 6, 6, 6, 7], [9, 9, 9, 9], [10, 10, 10], [7, 8, 8], [7, 10, 10, 10], [7, 9, 9, 9]]
[[4, 8, 8, 9], [10, 10, 10], [], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [10, 10, 10], [5, 5, 5], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[4, 8, 8, 9], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [], [6, 6, 6, 6, 6], [5, 5, 5], [7, 7, 7, 7], []]
[[4, 8, 9], [10, 10, 10], [8, 8, 8], [], [], [9, 9, 9], [10, 10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 5, 5]]
[[4, 8, 10], [], [10, 10], [5, 5, 5], [9, 9, 9], [9, 9, 9], [6, 10, 10], [7, 7, 7, 7], [8, 8, 8], [8, 8, 9], [8, 10, 10], [10, 10], [], [8, 8, 8], [6, 6, 6, 6]]
[[4, 9, 10], [8, 10], [9, 10], [10], [9], [7, 9, 10], [8, 8, 8], [5, 5, 5, 9], [8, 8, 8], [8, 8, 10], [6, 8, 9], [6, 6, 6, 6], [10], [10], [7, 7, 7], [9, 10]]
[[8, 8, 8], [], [8, 8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6], [7, 7, 10], [8], [8, 8, 8], [4, 5, 5, 5], [6, 7, 7], [9, 9], [10, 10], [9, 9], [10, 10], [9]]
[[8, 8], [10, 10], [9, 9], [9, 9], [], [10, 10], [9, 9], [7, 8, 8], [6, 8, 9], [4, 8, 8], [8, 10], [10, 10], [10, 10], [5, 5, 5], [], [7, 7, 7], [8, 8], [6, 6, 6, 6]]
[[4, 8, 8], [5, 5, 5], [9, 9], [10, 10], [6, 8, 8], [10, 10], [8, 8], [6, 6, 6], [6, 7], [8, 8], [8, 8], [7, 7, 7], [10, 10], [10, 10], [10], [9, 9], [9], [], [9, 9]]
[[4, 7, 10], [], [8, 8], [], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [8, 8], [8, 8], [6, 6, 9], [], [9, 9], [5, 5, 5], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10]]
[[4, 8, 8], [10, 10], [7, 7], [9, 9], [6, 6, 6], [10, 10], [], [6, 6], [8, 8], [9, 9], [8, 8], [10, 10], [5, 5, 9], [5], [7, 7], [10], [9, 9], [8, 8], [], [10, 10], [8, 8]]
[[4, 8, 8], [7, 7], [10, 10], [5, 5, 5], [], [9, 9], [10, 10], [10], [8, 8], [8, 8], [6, 6, 8], [9, 9], [8, 9], [10, 10], [], [9, 9], [6, 6, 6], [], [], [10, 10], [7, 7], [8, 8]]
[[6, 10], [8, 8], [8, 8], [9, 9], [7, 10], [10], [7, 7], [10], [8, 10], [9, 9], [4, 9], [7, 10], [6, 8], [9, 9], [], [10], [8, 8], [], [6, 6, 6], [5, 5, 5], [10], [10], [8, 8]]
[[8, 8], [9], [10], [10], [9], [9], [10], [7, 10], [8, 8], [8, 8], [7, 7], [5, 5, 5], [4, 10], [8, 9], [6, 6], [10], [7, 9], [8, 8], [6, 10], [6, 6], [10], [8, 9], [10], [9]]
[[4, 9], [6, 9], [8, 8], [6, 6], [7, 9], [10], [7, 9], [6, 10], [8, 8], [8, 8], [8, 8], [9], [9], [10], [8, 8], [10], [5, 5, 5], [7, 7], [], [10], [10], [9], [6, 10], [10], [10]]
[[6, 9], [8, 8], [9], [5, 5, 5], [8, 8], [10], [10], [7, 7], [8, 8], [6, 9], [4, 9], [9], [9], [], [8, 8], [10], [10], [10], [10], [10], [7, 7], [10], [6, 6], [6, 9], [8, 8], [10]]
[[7, 9], [8, 8], [10], [9], [], [8, 8], [6, 10], [7, 7], [], [4, 6, 6], [8, 8], [10], [9], [8, 8], [10], [5, 5, 5], [9], [8, 8], [6, 9], [7, 9], [10], [10], [10], [6, 10], [10], [], [9]]
[[8, 8], [9], [6, 6], [9], [10], [6, 10], [6, 8], [8], [8, 8], [5, 5, 5], [6, 9], [4, 10], [7, 7], [7, 9], [7, 9], [10], [10], [10], [9], [], [], [], [10], [9], [8, 8], [10], [10], [8, 8]]
[[6, 8], [6, 8], [8], [10], [7, 7], [9], [6, 8], [5, 8], [9], [4, 10], [10], [6, 8], [10], [5, 8], [10], [7], [10], [8], [6, 8], [10], [9], [9], [9], [5, 8], [9], [10], [7], [9], [10]]
[[6, 8], [6, 8], [8], [10], [6, 8], [9], [6, 8], [6, 8], [7, 7], [4, 9], [], [9], [8], [10], [10], [10], [8], [5, 9], [10], [8], [8], [10], [10], [10], [9], [7, 7], [5, 5], [9], [9], [10]]
[[10], [10], [10], [8], [9], [10], [8], [8], [6], [5, 8], [6, 7], [6, 7], [9], [9], [10], [6, 7], [5, 8], [5, 8], [10], [10], [9], [9], [8], [10], [9], [8], [8], [10], [8], [6, 7], [4, 9]]
[[5, 8], [6, 6], [9], [6, 7], [9], [9], [7], [8], [10], [5, 8], [8], [8], [6, 7], [8], [10], [8], [6], [10], [8], [10], [5, 7], [10], [9], [10], [10], [10], [9], [4, 8], [10], [9], [8], [9]]
[[8], [10], [10], [7], [7], [10], [8], [10], [8], [5, 8], [6, 6], [6, 6], [], [4, 8], [9], [9], [9], [8], [9], [5, 8], [10], [5, 8], [9], [9], [6, 7], [8], [10], [9], [10], [10], [7], [8], [10]]
[[10], [9], [5, 8], [9], [8], [8], [10], [10], [8], [4, 8], [6], [8], [5, 5], [10], [10], [9], [8], [8], [10], [9], [10], [7], [9], [7], [10], [8], [7], [7], [10], [9], [6, 6], [9], [8], [6, 6]]
[[4, 8], [5, 7], [8], [], [5, 5], [8], [10], [7], [8], [8], [6], [10], [6, 6], [8], [10], [10], [9], [9], [9], [9], [8], [10], [9], [7], [9], [8], [10], [9], [10], [7], [10], [10], [6, 6], [8], [8]]
[[5, 7], [10], [8], [9], [9], [], [4], [8], [6, 6], [5, 7], [10], [7], [10], [8], [9], [6, 6], [6], [8], [9], [8], [10], [9], [10], [8], [8], [8], [10], [10], [10], [8], [10], [8], [], [9], [9], [5, 7]]
[[9], [4, 8], [8], [10], [8], [8], [9], [9], [10], [10], [8], [10], [8], [10], [10], [10], [6, 6], [10], [9], [6], [7], [9], [7], [9], [7], [5], [7], [8], [10], [8], [8], [8], [], [9], [6, 6], [5, 5], []]
[[4, 7], [8], [10], [9], [9], [8], [9], [6, 6], [8], [10], [9], [], [8], [], [5, 5], [10], [5], [10], [6, 6], [8], [], [7], [10], [8], [7], [8], [10], [8], [9], [6], [8], [8], [10], [9], [10], [9], [7], [10]]
[[9], [9], [4], [8], [8], [8], [6], [6], [8], [8], [8], [8], [8], [8], [10], [10], [7], [5, 5], [], [10], [8], [9], [10], [10], [10], [9], [6], [7], [7], [6], [9], [6], [9], [10], [10], [7], [10], [5], [9]]
-EndAllocation

Instance: [[1], [309], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [206, 137, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [155, 103, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[4, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8]]
[[4, 8, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 5, 6, 6, 6, 6, 6, 8, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [9], [7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10], [4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 7, 7, 7, 8, 8]]
[[4, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7], [6, 6, 6, 6, 6, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 10, 10, 10], [5, 5, 5], [6, 6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [9]]
[[4, 8, 8, 8, 8, 8, 8], [7, 7, 7, 9, 10, 10], [6, 6, 6, 6, 6, 9, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [5, 5, 5]]
[[4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10], [], [10, 10, 10, 10], [5, 5, 5, 6], [7, 7, 7, 8, 8], [6, 6, 6, 6, 9, 9]]
[[8, 8, 8, 8, 8], [7, 7, 7], [], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 9, 9, 9], [4, 8, 8], [5, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8], [8, 8, 8, 8], [5, 5, 5], [7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 9], [10, 10, 10], [5, 5, 5], [10, 10], [4, 6, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[4, 8, 8, 8], [8, 8, 8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [], [6, 6, 6, 6, 8], [5, 5, 5, 6], [7, 7, 7], [9]]
[[4, 8, 8, 8], [10, 10, 10], [8, 8, 8], [], [], [9, 9, 9], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7], [5, 5, 5, 9]]
[[4, 8, 8, 8], [], [], [5, 5, 5, 10], [9, 9, 9], [9, 9, 9], [9, 10], [7, 7, 7], [8, 8, 8], [8, 8, 8], [6, 10, 10], [10, 10], [10, 10], [8, 8, 8], [6, 6, 6, 6]]
[[8, 8], [9, 9], [10, 10], [10, 10], [4, 9, 9], [], [8, 8], [5, 5, 5, 9], [8, 8], [6, 8, 8], [6, 8, 10], [6, 6, 6, 8], [8, 9, 9], [10, 10], [7, 7, 7], [8, 10]]
[[8, 8, 8], [], [8, 8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6], [7, 7, 7], [6, 8, 8], [4, 5, 8, 8], [5, 8, 8], [5, 9, 9], [9], [10, 10], [9, 9], [10, 10], []]
[[6, 8, 8], [9, 9], [9, 9], [9, 9], [], [10, 10], [9], [10, 10], [8, 8, 8], [8, 8, 8], [4, 8], [10, 10], [10, 10], [5, 5, 5], [], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6]]
[[4, 8, 8], [5, 5, 5], [9], [10, 10], [6, 8, 8], [8, 8], [8, 8], [6, 6, 6], [6, 8, 8], [8, 8], [9, 9], [7, 7, 7], [10, 10], [10, 10], [10, 10], [9, 9], [], [], [9, 9]]
[[4, 8, 8], [], [8, 8], [9, 9], [10, 10], [9, 9], [6, 6, 9], [10, 10], [8, 8], [8, 8], [8, 8], [10, 10], [], [9, 9], [5, 5, 5], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], []]
[[4, 8, 8], [10, 10], [7, 7], [9, 9], [6, 6, 6], [10, 10], [6, 9], [9, 9], [8, 8], [8, 8], [8, 8], [10, 10], [5, 5, 5], [6], [7], [], [9, 9], [8, 8], [], [10, 10], [8, 8]]
[[4, 8, 8], [7], [10, 10], [5, 5, 5], [], [9, 9], [10, 10], [8, 8], [8, 8], [8, 8], [6, 6], [9, 9], [8, 8], [10, 10], [], [9, 9], [6, 6, 6], [], [9], [10, 10], [7, 7], [8, 8]]
[[4, 8], [8, 8], [8, 8], [9, 9], [10], [7, 10], [9, 9], [6, 10], [7, 7], [10], [9], [10], [8, 8], [9, 9], [6], [10], [8, 8], [], [6, 6, 6], [5, 5, 5], [8, 10], [10], [8, 8]]
[[8, 8], [9], [], [8, 8], [6, 9], [8, 8], [6, 10], [5, 10], [8, 9], [8, 8], [7, 7], [4, 10], [9], [10], [6, 9], [5, 9], [7, 10], [8], [9], [6, 6], [10], [10], [5, 10], [8, 8]]
[[4, 9], [6, 9], [8, 8], [6, 10], [10], [6, 9], [7, 7], [8, 9], [8, 8], [8, 8], [8, 8], [8], [9], [10], [8, 8], [10], [5, 5, 5], [6, 7], [], [10], [10], [6, 10], [9], [10], [9]]
[[4, 10], [8, 8], [9], [5, 5, 5], [8, 8], [6, 9], [10], [9], [8, 8], [6, 6], [8, 8], [9], [9], [10], [8, 8], [10], [10], [10], [9], [10], [7], [], [7, 7], [6, 9], [8, 8], [6, 10]]
[[4, 9], [8, 8], [9], [9], [10], [10], [6, 9], [7, 7], [8, 8], [8, 8], [8, 8], [9], [10], [9], [10], [5, 5, 5], [10], [8, 8], [8, 8], [7], [], [10], [9], [6, 6], [6, 6], [10], [10]]
[[7, 7], [10], [6, 6], [9], [], [6, 9], [6, 9], [8, 8], [8, 8], [8, 8], [8, 8], [4], [10], [10], [8, 8], [], [10], [7, 9], [10], [10], [10], [9], [], [9], [8, 8], [6, 10], [9], [5, 5, 5]]
[[5, 8], [8], [9], [9], [7, 7], [6, 8], [8], [4, 10], [5, 9], [6, 8], [5, 8], [6, 8], [6, 8], [10], [10], [8], [10], [8], [10], [10], [6, 8], [10], [10], [9], [8], [7], [9], [9], [9]]
[[5, 7], [6, 8], [9], [9], [8], [9], [8], [8], [8], [4, 10], [8], [7, 7], [6, 8], [6, 8], [9], [10], [10], [6, 8], [9], [10], [10], [9], [10], [10], [10], [8], [5, 5], [9], [6, 8], [8]]
[[10], [9], [5, 8], [8], [9], [8], [8], [8], [8], [4, 8], [6, 6], [9], [10], [6, 7], [6, 7], [10], [5, 8], [9], [9], [6, 7], [9], [5, 8], [10], [10], [9], [8], [10], [10], [8], [8], [10]]
[[5, 8], [9], [8], [9], [9], [10], [5, 8], [6, 6], [9], [8], [4, 8], [8], [8], [8], [10], [10], [8], [8], [10], [10], [5, 8], [7], [10], [10], [10], [9], [6, 6], [7], [6, 7], [9], [8], [9]]
[[4, 9], [10], [8], [], [6, 7], [10], [10], [8], [6, 6], [10], [9], [5, 8], [9], [8], [9], [7], [9], [10], [8], [10], [10], [9], [8], [5, 8], [8], [10], [9], [8], [6], [8], [6, 7], [5, 8], [8]]
[[4, 9], [8], [5, 5], [10], [7], [7], [10], [8], [9], [8], [8], [8], [5, 8], [6, 6], [9], [8], [8], [9], [9], [8], [10], [6, 6], [], [10], [9], [10], [6, 7], [8], [10], [10], [9], [8], [8], [10]]
[[4, 6], [10], [6, 6], [7], [10], [], [7], [8], [5, 7], [8], [8], [5, 5], [9], [9], [8], [9], [10], [8], [9], [8], [8], [8], [10], [9], [10], [10], [10], [9], [10], [8], [9], [8], [8], [6, 6], [8]]
[[4, 8], [6], [8], [9], [10], [8], [8], [10], [6, 6], [5, 5], [8], [8], [5, 7], [9], [10], [9], [8], [8], [10], [9], [], [], [6, 6], [10], [7], [10], [9], [8], [7], [10], [8], [8], [8], [9], [9], [10]]
[[4, 8], [5, 5], [8], [8], [6], [], [8], [9], [10], [10], [6, 6], [9], [9], [10], [10], [10], [10], [10], [7], [6, 6], [], [10], [], [8], [9], [8], [9], [8], [8], [8], [7], [8], [5, 7], [8], [8], [9], [9]]
[[4, 8], [8], [9], [9], [8], [9], [9], [9], [7], [9], [5, 6], [7], [9], [7], [6, 6], [8], [5, 5], [8], [10], [10], [10], [8], [6], [8], [10], [10], [8], [10], [8], [10], [10], [], [6], [], [8], [], [8], [8]]
[[10], [4], [8], [8], [7], [6], [10], [8], [8], [7], [7], [10], [10], [10], [10], [10], [8], [9], [], [5], [10], [8], [9], [8], [8], [8], [8], [8], [9], [9], [8], [5, 5], [9], [6], [9], [9], [6], [6], [6]]
-EndAllocation

Instance: [[1], [308], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[4, 9, 9, 9, 9, 9, 10, 10, 10], [9], [7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6, 6, 6, 10, 10, 10]]
[[4, 5, 5, 5, 5, 5, 10, 10, 10, 10], [9, 9, 9, 9, 9, 10, 10], [6, 6, 6, 6, 9], [8, 8], [7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7], [5, 10, 10, 10, 10, 10], [8, 8, 8], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 5]]
[[4, 8, 8, 8, 8, 9], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [5, 5, 5, 5, 5], [6, 6, 6, 6, 7, 7, 7]]
[[4, 8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 8], [7, 7, 7], [5, 5, 5, 5, 5, 9, 10], [9, 9, 9, 9, 9]]
[[4, 5, 7, 7, 7], [], [6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9]]
[[4, 8, 8, 8, 8], [5, 5, 5, 5, 5], [], [7, 7, 7, 10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 9], [10, 10, 10], [8, 8, 8, 8], [8, 8, 9], [9, 9, 9, 9]]
[[4, 5, 7, 7, 7], [10, 10, 10], [], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 10], [8, 8], [8, 8, 8, 8]]
[[4, 5, 8, 8], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 10], [8, 8, 8, 8], [7, 7, 7], [], [9, 9, 9]]
[[4, 8], [10, 10], [8, 8, 8], [10, 10], [10, 10], [9, 9, 9], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 6, 6], [7, 7, 7], [5, 5, 5, 5, 5]]
[[4, 8], [], [10, 10], [5, 5, 5, 5, 5], [9, 9, 9], [9, 9, 9], [10, 10], [8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [7, 7, 7]]
[[8, 8, 8], [9, 9], [], [10, 10], [9, 9], [], [8, 8, 8], [5, 5, 5, 5, 5], [8, 8, 8], [8, 9, 9], [4, 10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [7, 7, 7], [10, 10]]
[[4, 8], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [10, 10], [6, 6, 6, 6], [9, 9], [8, 8, 8], [8, 8, 8], [7, 7, 7], [9, 9], [], [10, 10], [9, 9], [10, 10], []]
[[4, 5, 8], [9, 9], [9, 9], [9, 9], [], [10, 10], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [], [10, 10], [10, 10], [5, 5, 5, 5], [], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6]]
[[5, 8, 8], [], [9, 9], [10, 10], [6, 8, 8], [10, 10], [8, 8], [6, 6, 6], [], [4, 8, 8], [8, 8], [7, 7, 7], [10, 10], [10, 10], [10, 10], [9, 9], [9, 9], [], [5, 5, 5, 5]]
[[4, 8, 8], [], [8, 8], [8, 10], [10, 10], [9, 9], [9, 9], [10, 10], [6], [8, 10], [5, 8, 8], [10, 10], [9, 9], [], [5, 5, 5, 5], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], []]
[[4, 8, 8], [10, 10], [6, 7, 7], [9, 9], [6, 6, 6], [10, 10], [10, 10], [9, 9], [8, 8], [5], [8, 8], [10, 10], [5, 5, 5, 5], [], [7], [], [9, 9], [8, 8], [], [10, 10], [8, 8]]
[[8, 8], [7, 10], [10], [5, 5], [10], [9, 9], [7, 7], [5, 5, 5], [8, 9], [9, 9], [4, 9], [8, 10], [8, 10], [8, 10], [8, 10], [8, 8], [6], [6, 6, 6], [8, 10], [10], [], [10]]
[[8, 8], [10], [8, 8], [9, 9], [7, 10], [10], [7, 7], [5, 5], [8, 10], [9, 9], [4], [10], [6], [9, 9], [5, 5, 5], [10], [8, 8], [10], [6, 6, 6], [8, 8], [8, 10], [10], [10]]
[[7], [8], [6, 6], [8, 8], [10], [8, 9], [9], [9], [8, 8], [8, 8], [7, 7], [5, 10], [5, 10], [5, 10], [4, 10], [10], [10], [10], [10], [6, 6], [8, 9], [5, 9], [5, 10], [8, 9]]
[[5, 9], [6, 9], [8, 8], [6, 6], [9], [10], [7, 7], [9], [8, 8], [8, 8], [8, 8], [5, 10], [4, 10], [10], [8, 8], [10], [5, 5, 5], [7, 10], [], [10], [10], [9], [9], [10], [6, 10]]
[[6, 10], [9], [10], [5, 5, 5], [10], [10], [9], [10], [5, 9], [4, 6, 6], [7, 8], [5, 6], [7, 7], [9], [9], [9], [8, 8], [10], [10], [8], [8, 8], [10], [10], [8, 8], [10], [8, 8]]
[[5, 9], [10], [], [9], [8, 8], [8], [6, 9], [7, 7], [6, 10], [8, 8], [5, 9], [6, 10], [7, 8], [4, 10], [9], [5, 5, 5], [10], [8, 8], [8, 8], [10], [], [10], [10], [6, 10], [], [9], [10]]
[[5, 9], [9], [10], [5, 8], [10], [9], [5, 8], [4, 10], [5, 9], [6, 8], [6, 7], [10], [5, 9], [6, 8], [9], [6, 8], [8], [7, 7], [10], [10], [10], [8], [8], [10], [8], [10], [8], [10]]
[[10], [10], [10], [10], [10], [10], [5, 8], [9], [4, 9], [5, 9], [5, 7], [6, 8], [5, 9], [5, 8], [6, 8], [7, 7], [9], [10], [10], [8], [9], [10], [8], [6, 8], [8], [6, 8], [8], [10], []]
[[5, 8], [7], [10], [8], [10], [7, 7], [8], [9], [10], [5, 9], [6, 6], [4, 8], [9], [6, 6], [5, 8], [9], [10], [5, 8], [10], [10], [10], [9], [10], [9], [8], [8], [5, 8], [10], [8], [10]]
[[10], [5, 8], [5, 8], [10], [9], [9], [8], [10], [10], [6, 7], [4, 9], [9], [8], [5, 8], [10], [6, 6], [9], [8], [5, 7], [10], [6, 7], [5, 8], [9], [], [10], [10], [8], [10], [10], [8], [8]]
[[4, 8], [5, 8], [10], [6, 6], [8], [8], [5, 8], [9], [5, 8], [9], [5, 6], [5, 8], [10], [10], [7], [], [8], [8], [10], [10], [10], [10], [9], [7], [9], [9], [8], [10], [6, 7], [9], [10], [10]]
[[4, 9], [9], [8], [9], [10], [10], [8], [8], [8], [5, 8], [8], [8], [10], [8], [7], [6, 6], [10], [10], [8], [9], [10], [10], [10], [5, 5], [5, 5], [7], [10], [9], [9], [7], [8], [10], [6, 6]]
[[4, 9], [10], [5, 5], [6, 6], [10], [10], [8], [9], [9], [5, 8], [9], [9], [5, 7], [5, 8], [7], [8], [8], [], [8], [6, 6], [10], [8], [10], [9], [10], [10], [10], [8], [], [8], [7], [8], [10], [10]]
[[8], [10], [6, 6], [9], [5, 5], [8], [7], [10], [4, 8], [8], [10], [5], [8], [7], [10], [10], [10], [9], [10], [5, 5], [9], [7], [8], [9], [8], [], [8], [9], [10], [10], [8], [8], [9], [6, 6], [10]]
[[4, 7], [6, 6], [10], [5], [8], [8], [10], [], [9], [8], [8], [9], [8], [5, 7], [8], [9], [5], [8], [10], [9], [8], [10], [10], [6, 6], [10], [10], [10], [], [5], [10], [9], [10], [5, 7], [8], [8], [9]]
[[8], [5, 7], [8], [8], [10], [9], [8], [8], [5, 5], [10], [8], [7], [8], [10], [9], [], [10], [9], [], [6, 6], [6, 6], [], [10], [9], [10], [9], [10], [9], [7], [10], [8], [8], [8], [10], [10], [5, 5], [4]]
[[6, 6], [5], [10], [8], [9], [8], [9], [5, 5], [8], [8], [8], [], [10], [10], [8], [10], [7], [8], [9], [7], [10], [6, 6], [], [9], [8], [7], [10], [], [8], [5, 5], [10], [8], [9], [10], [10], [9], [10], [4]]
[[10], [4, 5], [8], [8], [7], [8], [5, 5], [6], [10], [5, 5], [10], [10], [9], [7], [], [8], [6], [6], [9], [7], [8], [9], [], [6], [9], [9], [10], [8], [10], [8], [10], [8], [8], [9], [10], [10], [8], [10], []]
-EndAllocation

Instance: [[1], [307], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 10, 10], [3, 4, 5, 7, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10], [3, 4, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8], [3, 4, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[], [5, 5, 5, 7, 9, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 10, 10, 10, 10, 10, 10], [3, 8, 9, 10, 10, 10, 10, 10, 10]]
[[], [4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 8], [8, 9, 9, 10, 10, 10, 10], [3, 6, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7], [8, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 7, 7, 9, 10], [6, 6, 6, 6, 6, 6, 6, 6, 10], [5, 5, 5, 8, 8, 8, 10], [3, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [4, 9, 10, 10, 10]]
[[], [8, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6], [10, 10], [4, 6, 6, 8, 8, 9, 10], [3, 10, 10, 10, 10], [9, 10, 10, 10, 10], [7, 7, 7, 7, 7, 10]]
[[], [10, 10], [10, 10, 10, 10], [4, 10, 10, 10, 10], [5, 5, 5, 10, 10, 10], [9, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [3, 6, 7, 7, 7, 7, 7], [8, 8, 8, 9]]
[[], [9, 10, 10, 10], [5, 5, 5, 6, 10, 10], [], [6, 7, 7, 7, 7, 7], [8, 8, 9, 10], [3, 6, 6, 6, 6, 6, 8], [4, 10, 10, 10], [6, 10, 10, 10], [10, 10, 10, 10]]
[[], [8, 9, 9, 10], [5, 5, 5], [3, 10, 10, 10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [4, 6, 6, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10]]
[[], [3, 6, 6, 6, 7], [10, 10, 10], [5, 5, 5, 9, 10], [9], [6, 6, 6, 6, 6], [4, 8, 10, 10], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [8, 8, 10], [10, 10, 10]]
[[], [10, 10, 10], [7, 7, 7, 7], [6, 6, 6], [5, 5, 5, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 10, 10], [3], [7, 8, 9], [4, 10, 10], [6, 6, 6, 6, 6]]
[[10], [10, 10], [7, 7, 7, 7], [3, 10, 10], [6, 9, 10], [6, 6, 6, 8], [10, 10], [4, 8, 8], [5, 5, 5, 10], [10, 10], [6, 6, 6, 6], [7, 9, 10], [10, 10], [10, 10]]
[[], [8, 8, 10], [5, 5, 5, 9], [6, 10, 10], [7, 10, 10], [7, 7, 7, 7], [10, 10], [6, 10, 10], [9, 10], [6, 6, 6, 6], [10, 10], [6, 6], [10, 10], [3, 10, 10], [4, 8]]
[[], [10, 10], [7, 7], [4, 10, 10], [8, 8, 10], [5, 5], [5, 10, 10], [10, 10], [6, 6, 6, 6], [9, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [3, 10, 10], [9, 10], [8, 10]]
[[], [3, 10, 10], [10], [5, 5, 5, 10], [7, 7, 7], [6, 6, 6, 6], [8, 8], [10, 10], [10, 10], [4, 10, 10], [], [6, 6, 6, 6], [10, 10], [10, 10], [8, 9], [7, 7, 9], [10, 10]]
[[], [7, 7, 9], [10, 10], [6, 6, 8], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8], [10, 10], [3, 6, 6], [4, 10, 10], [10], [], [9, 10], [5, 5, 5], [10, 10], [10, 10], [7, 7, 7]]
[[], [7, 7, 7], [], [6, 7, 7], [10], [10, 10], [5, 5, 5], [], [10, 10], [6, 6, 6], [10, 10], [10, 10], [3, 6, 9], [4, 8, 10], [10, 10], [10, 10], [6, 8, 8], [6, 6, 9], [10, 10]]
[[], [10, 10], [8, 9], [10, 10], [7, 10], [10, 10], [6, 6, 6], [3], [7, 7, 7], [7, 9], [10], [10, 10], [10, 10], [6, 6, 6], [5, 5, 5], [4, 6, 6], [10, 10], [8, 8], [10, 10], []]
[[], [6, 6, 6], [], [10, 10], [9, 10], [7, 7], [6, 6, 6], [], [6, 6], [10], [10, 10], [5, 5, 5], [10, 10], [10, 10], [10, 10], [10, 10], [4, 9], [3, 7, 7], [8, 10], [7, 10], [8, 8]]
[[10], [4, 10], [7, 10], [8, 10], [6, 6], [7, 10], [7, 10], [8, 10], [10], [10], [10], [10], [6, 10], [7, 9], [8, 10], [6, 6, 6], [7, 9], [10], [5, 5, 5], [10], [3, 6, 6], [10]]
[[10], [7, 10], [6, 10], [10], [5, 5, 7], [10], [10], [8, 10], [10], [10], [6, 6, 6], [10], [7, 9], [7, 10], [4, 6, 6], [7, 10], [5, 10], [10], [3, 10], [6, 8], [9], [10], [6, 8]]
[[9], [10], [10], [6, 10], [6, 10], [10], [5, 10], [6, 10], [6, 10], [5, 5, 6], [9], [6, 8], [10], [6, 10], [10], [8], [3, 7, 7], [7, 7], [4, 8], [7, 10], [10], [10], [10], [6, 10]]
[[10], [10], [6, 6], [10], [10], [4, 10], [6, 6], [7, 10], [10], [6, 10], [10], [5, 5, 5], [10], [6, 6], [7, 7], [10], [10], [10], [8, 9], [8, 8], [10], [7, 7], [6, 10], [9], [3, 10]]
[[10], [6, 8], [10], [10], [10], [7, 7], [10], [10], [10], [10], [7, 9], [6, 10], [8, 8], [10], [9], [10], [3, 10], [7, 7], [10], [6, 6], [5, 5, 5], [6, 6], [10], [6, 6], [10], [4, 10]]
[[10], [7, 9], [3, 10], [4, 10], [10], [10], [7, 7], [8], [6, 6], [6, 6], [10], [8, 8], [10], [5, 5, 5], [10], [10], [6, 9], [10], [7, 7], [10], [10], [10], [6, 10], [], [10], [10], [6, 6]]
[[10], [10], [10], [10], [3, 10], [7, 7], [10], [5, 5], [10], [10], [8], [6, 6], [6, 8], [9], [6, 6], [7, 7], [10], [5, 8], [10], [9], [4, 10], [10], [10], [10], [10], [10], [6, 6], [6, 7]]
[[10], [7], [6, 6], [10], [10], [7, 7], [6, 6], [10], [5, 5], [4, 10], [10], [6, 8], [10], [5], [10], [10], [9], [10], [7, 7], [9], [8], [10], [10], [6, 8], [10], [6, 6], [10], [10], [3, 10]]
[[10], [5], [10], [3, 7], [8], [8], [4, 10], [10], [10], [10], [10], [9], [7, 7], [8], [6, 6], [10], [10], [7, 7], [10], [6, 6], [5, 5], [9], [6, 6], [10], [6, 6], [10], [10], [10], [10], [10]]
[[8], [6, 6], [6, 7], [10], [10], [5, 5], [5, 7], [10], [7], [10], [10], [8], [10], [3, 10], [6], [10], [10], [10], [10], [10], [4, 7], [10], [9], [10], [7], [10], [8], [6, 6], [10], [6, 6], [9]]
[[8], [10], [3, 7], [6, 7], [10], [10], [10], [10], [10], [6, 6], [10], [10], [7], [10], [10], [6, 6], [4], [10], [10], [10], [10], [9], [7], [10], [8], [6, 6], [5, 6], [8], [10], [7], [9], [5, 5]]
[[10], [10], [6, 6], [10], [10], [10], [10], [10], [9], [7], [10], [6, 6], [8], [7], [5], [10], [10], [7], [4], [6, 6], [10], [6, 7], [10], [3, 10], [9], [10], [6, 7], [], [10], [8], [10], [5, 5], [8]]
[[], [7], [9], [10], [10], [10], [10], [6, 6], [10], [10], [10], [10], [10], [10], [10], [10], [10], [7], [7], [7], [5, 5], [6], [10], [10], [8], [10], [], [7], [5, 6], [6, 6], [6, 6], [4, 9], [8], [3, 8]]
[[7], [10], [7], [6, 6], [10], [10], [9], [10], [10], [], [9], [4], [5, 5], [8], [10], [10], [3, 8], [], [10], [10], [7], [5], [10], [10], [7], [6, 6], [8], [10], [10], [6, 6], [10], [10], [6, 6], [7], [10]]
[[10], [9], [7], [7], [10], [8], [], [10], [10], [6, 6], [10], [10], [7], [10], [9], [4], [6, 6], [8], [10], [], [6], [7], [10], [5, 5], [5], [6, 6], [10], [3, 8], [6], [10], [10], [7], [10], [10], [10], [10]]
[[], [], [10], [8], [10], [], [10], [7], [6], [8], [9], [10], [4], [6, 6], [6, 6], [6, 6], [7], [7], [10], [10], [], [10], [5, 5], [10], [9], [10], [7], [10], [10], [3, 7], [10], [10], [10], [10], [5, 6], [10], [8]]
[[7], [10], [6, 6], [10], [10], [7], [10], [10], [6, 6], [3], [10], [], [10], [5, 5], [], [7], [], [7], [10], [10], [10], [9], [10], [10], [9], [4], [6, 6], [], [10], [5, 7], [8], [], [10], [10], [10], [6, 6], [8], [8]]
[[8], [], [10], [10], [6], [7], [10], [10], [7], [6], [9], [7], [10], [10], [10], [10], [8], [6], [10], [5, 5], [7], [6], [10], [6], [], [10], [10], [10], [10], [10], [6], [4], [5], [10], [3, 7], [6], [6], [8], [9]]
-EndAllocation

Instance: [[1], [306], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [204, 136, 102, 82, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [153, 102, 77, 62, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[3, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 8, 10, 10, 10], [2, 4, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10], [2, 5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10], [3, 4, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8], [2, 3, 4, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10]]
[[], [5, 5, 5, 5, 5, 6, 10, 10, 10, 10], [2, 4, 6, 7, 7, 7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 9, 9, 9, 9, 10]]
[[], [2, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8], [9, 9, 9, 9, 10, 10, 10], [3, 10, 10, 10, 10, 10, 10], [6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 9, 9, 9, 9], [2, 6, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8], [3, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10], [4, 6, 7, 7]]
[[], [8, 8, 8, 8, 10, 10], [2, 5, 5, 5, 5, 5, 6, 6, 10], [10], [4, 9, 9, 9, 9, 10], [3, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10]]
[[], [8, 8, 8], [10, 10, 10, 10], [4, 8, 10, 10, 10], [5, 5, 5, 5, 5, 6, 10], [10, 10, 10, 10], [6, 10, 10, 10], [3, 7, 7, 7, 7, 7, 7], [2, 9, 9, 9, 9]]
[[], [8, 8, 10, 10], [5, 5, 5, 5, 5, 7, 8], [], [6, 7, 7, 7, 7, 7], [2, 9, 9, 9, 9], [3, 6, 8, 10, 10], [4, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10]]
[[], [9, 9, 9, 9], [5, 5, 5, 5, 5], [3, 10, 10, 10], [10, 10, 10], [10, 10, 10], [6, 8], [4, 6, 8, 8, 8], [7, 10, 10, 10], [7, 7, 7, 7, 7], [2, 10, 10, 10]]
[[], [3, 6, 7, 7], [10, 10, 10], [4, 9, 9, 9], [9], [5, 5, 5, 5, 5, 6], [2, 8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [10, 10, 10]]
[[], [8, 10, 10], [7, 7, 7, 7], [6, 7, 7], [5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 10, 10], [3], [9, 9, 9], [2, 4, 8, 8, 8], [6, 10, 10]]
[[], [10, 10], [7, 7, 7, 7], [3, 10, 10], [9, 9, 9], [8, 8, 8], [2, 10, 10], [4, 8, 10], [5, 5, 5, 5, 5], [6, 10, 10], [6, 10, 10], [7, 7, 9], [10, 10], [10, 10]]
[[], [8, 9, 10], [5, 5, 5, 5, 5], [6, 10, 10], [7, 7], [7, 7, 7, 7], [10, 10], [6, 10, 10], [9, 9, 9], [10, 10], [10, 10], [], [10, 10], [2, 3, 10, 10], [4, 8, 8, 8]]
[[], [10, 10], [7, 7, 7], [2, 4, 10], [10, 10], [5, 5, 5, 5], [5, 10, 10], [10, 10], [6], [9, 9], [7, 7, 7], [10, 10], [6, 10, 10], [3, 10, 10], [8, 9, 9], [8, 8, 8]]
[[], [3, 10, 10], [2, 9, 9], [5, 5, 10], [7, 7, 7], [6, 10], [7, 7, 8], [7, 10], [10, 10], [4, 10, 10], [], [5, 5, 5, 6], [10, 10], [10, 10], [8, 8, 8], [9, 9], [10, 10]]
[[], [9, 9], [10, 10], [6, 8, 8], [10, 10], [10, 10], [6, 7, 7], [8, 8], [10, 10], [3, 10], [4, 10], [10], [7, 7], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10], [2, 5, 7, 7]]
[[], [7, 7, 7], [], [7, 7, 7], [2, 10], [10, 10], [5, 5, 5, 5], [5], [10, 10], [6], [10, 10], [10, 10], [3, 9, 9], [4, 8, 8], [10, 10], [10, 10], [6, 8, 8], [9, 9], [10, 10]]
[[], [10, 10], [8, 8], [2, 10], [9, 9], [10, 10], [6, 7, 7], [3], [7, 7, 7], [9, 9], [10, 10], [10, 10], [5, 10], [6, 8], [5, 5, 5, 5], [4, 7, 10], [10, 10], [8], [10, 10], []]
[[], [6, 7, 7], [], [10, 10], [9, 9], [7, 7], [6, 10], [], [10, 10], [10], [10, 10], [5, 5, 5, 5], [10, 10], [8, 10], [2, 10], [10, 10], [4, 9], [3, 7, 7], [8, 8], [9, 10], [5, 8]]
[[10], [4, 10], [7, 10], [2, 10], [10], [7, 7], [7, 10], [10], [10], [10], [5, 10], [10], [5, 5, 6], [9, 9], [8, 10], [8, 10], [5, 9], [8, 8], [5, 7], [7, 10], [3, 6, 9], [10]]
[[10], [5, 10], [7, 10], [10], [2, 5, 5, 5], [10], [10], [7, 8], [10], [10], [7, 10], [10], [9, 9], [7, 7], [4, 6], [7, 10], [5, 10], [10], [3, 10], [6, 8], [9, 9], [10], [8, 8]]
[[9], [10], [10], [10], [10], [10], [5, 10], [7, 10], [10], [5, 5, 5], [9], [8, 8], [10], [2, 6, 9], [10], [8, 9], [3, 7, 7], [7, 7], [4, 8], [7, 10], [5, 10], [10], [10], [6, 10]]
[[10], [10], [10], [9], [10], [4, 10], [6, 10], [7, 7], [2, 5, 10], [10], [10], [5, 5, 5], [10], [6, 10], [7, 7], [10], [5, 10], [10], [8, 8], [8, 8], [10], [7, 7], [9], [9], [3, 9]]
[[10], [8, 8], [2, 10], [10], [10], [7, 7], [10], [10], [10], [10], [7, 7], [6, 10], [8, 8], [10], [9], [10], [3, 9], [7, 7], [9], [6, 9], [5, 5, 5], [5, 5], [10], [10], [10], [4, 10]]
[[10], [7, 9], [3, 9], [4, 10], [10], [10], [7, 9], [8, 8], [6, 10], [2, 5, 5], [10], [8, 8], [10], [5, 5, 5], [10], [7, 7], [6, 9], [10], [7, 7], [10], [10], [10], [], [], [10], [10], [10]]
[[10], [10], [10], [10], [3, 9], [7, 7], [10], [5, 5], [10], [10], [10], [8], [10], [9], [6, 8], [7, 7], [10], [5, 8], [2, 10], [9], [4, 5, 5], [10], [10], [10], [10], [9], [6, 8], [7, 7]]
[[10], [7, 7], [10], [10], [10], [7, 7], [5, 9], [2], [5, 9], [4, 10], [10], [6, 8], [10], [5, 5], [10], [10], [9], [10], [7, 7], [5, 9], [8], [10], [10], [8], [10], [6], [10], [10], [3, 8]]
[[10], [5, 5], [10], [3, 7], [8], [7], [4, 9], [10], [10], [10], [5, 8], [9], [7, 7], [8], [2, 10], [10], [10], [7, 7], [10], [6, 6], [5, 5], [9], [10], [8], [10], [9], [10], [10], [10], [10]]
[[8], [10], [9], [10], [10], [5, 5], [5, 5], [10], [7], [10], [8], [2, 8], [9], [3, 10], [6, 7], [10], [10], [10], [10], [5, 7], [4, 7], [10], [9], [10], [7], [10], [8], [10], [10], [6, 7], [9]]
[[8], [10], [3, 7], [9], [10], [10], [10], [10], [10], [7], [10], [10], [7], [10], [10], [10], [4, 7], [8], [10], [9], [10], [9], [7], [10], [8], [6, 6], [5, 5], [8], [2, 10], [5, 7], [9], [5, 5]]
[[10], [10], [6, 7], [10], [5], [10], [8], [10], [9], [7], [10], [10], [8], [7], [5, 5], [9], [10], [7], [4], [10], [10], [6, 7], [9], [3, 10], [9], [10], [2, 7], [10], [10], [8], [10], [5, 5], [8]]
[[7], [7], [9], [10], [10], [10], [10], [9], [10], [10], [10], [10], [10], [10], [5], [8], [9], [7], [7], [7], [5, 5], [10], [10], [10], [8], [10], [9], [7], [5, 5], [10], [6, 6], [4], [2, 8], [3, 8]]
[[7], [10], [7], [6], [10], [10], [9], [10], [10], [10], [9], [4], [5, 5], [8], [7], [10], [3, 8], [10], [10], [8], [7], [5, 5], [10], [9], [7], [6], [5], [9], [2, 10], [10], [10], [10], [8], [7], [10]]
[[10], [9], [7], [7], [10], [8], [], [10], [7], [5], [10], [10], [9], [10], [9], [4, 7], [9], [8], [10], [], [10], [7], [10], [5, 5], [5, 5], [6], [8], [3, 8], [6], [10], [10], [7], [10], [10], [2, 10], [10]]
[[], [], [10], [8], [10], [], [10], [7], [6], [8], [9], [10], [4, 7], [7], [9], [6], [7], [7], [10], [5], [2, 10], [10], [5, 5], [10], [9], [10], [9], [10], [10], [3, 7], [10], [10], [8], [10], [5, 5], [10], [8]]
[[7], [2, 8], [10], [10], [10], [7], [10], [10], [6, 6], [3], [10], [5, 5], [10], [5, 5], [9], [7], [], [7], [10], [10], [], [9], [10], [10], [9], [4, 7], [], [], [10], [5, 7], [8], [], [10], [10], [10], [9], [8], [8]]
[[8], [], [10], [10], [10], [9], [2], [10], [7], [6], [9], [7], [10], [9], [10], [10], [8], [10], [10], [5, 5], [7], [6], [8], [10], [], [7], [10], [10], [10], [10], [5], [4], [5, 5], [], [3, 7], [7], [10], [8], [9]]
-EndAllocation

Instance: [[1], [305], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,39. UB Alg: [204, 136, 102, 81, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [153, 102, 77, 61, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,39:
-StartAllocation
[[7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 9, 9, 9], [5, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7], [5, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8, 8], [4, 4], [5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8]]
[[4, 4, 7, 7, 7, 7, 10, 10], [5], [6, 6, 6, 6, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 9], [4, 4, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 7, 7, 7, 7], [4, 4, 4, 4], [10, 10, 10, 10, 10], [8, 8, 8, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 9, 9], [9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8], [9, 9, 10, 10, 10], [10, 10, 10, 10, 10], [6, 9, 9, 9, 9, 9], [6, 6, 6, 8, 8, 8, 8], [5], [4, 4, 4, 4], [7, 7, 7, 7, 9]]
[[8, 8, 8, 9, 10], [8, 10, 10, 10], [8, 8, 8, 8, 8], [8], [4, 4, 4, 4, 10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [5, 9, 9, 10, 10], [9, 9, 9, 9, 9]]
[[7, 7, 7, 7], [], [6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [4, 4, 4, 4], [5, 9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9]]
[[8, 8, 8, 8], [4, 4, 4, 4, 9, 9], [7, 7, 7, 7], [], [10, 10, 10], [5, 10, 10], [9, 9, 9], [10, 10, 10], [6, 6, 6, 8, 8], [8, 8, 8, 8], [6, 9, 9, 9]]
[[4, 10, 10, 10], [8], [], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6], [4, 4, 4, 10, 10], [10, 10, 10], [5, 8, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8]]
[[4, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [4, 4, 4, 9, 9], [9, 9, 9], [10, 10], [8, 8, 8, 8], [10, 10, 10], [8, 8], [8, 8, 8, 8], [5], [7, 7, 7, 7], []]
[[4, 8, 8, 8], [10, 10], [4, 4, 9, 9], [], [10, 10], [9, 9, 9], [8, 10, 10], [9, 9, 9], [8, 8, 8], [4, 8, 8, 8], [10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [5]]
[[8, 8, 8], [], [], [5, 10], [9, 9, 9], [9, 9, 9], [10, 10], [7, 7, 7, 7], [10, 10], [8, 8, 8], [8, 9, 9], [6, 10, 10], [4, 4, 4, 4], [6, 6, 6, 10], [8, 8, 8]]
[[8, 8, 8], [9, 9], [], [10, 10], [9, 9], [10, 10], [8, 8, 8], [9, 9], [9, 9], [8, 8, 8], [5, 10, 10], [4, 4, 4, 4, 7], [6, 6, 6, 6], [10, 10], [7, 7, 7], [8]]
[[8, 8, 8], [10], [5, 10], [8, 8, 8], [10], [10], [6, 6, 6, 6], [9, 10], [7, 9], [9, 9], [7, 7, 7], [9, 9], [4, 4, 4, 4, 8], [10], [9, 10], [8, 8, 8], [9, 10]]
[[8, 8], [9, 9], [9, 9], [9, 9], [8, 8], [6, 10], [9, 9], [10, 10], [4, 4, 4, 4], [8, 10], [8, 8], [10, 10], [10, 10], [5, 7, 8], [], [7, 7, 7], [8, 8], [6, 6, 6]]
[[5, 8, 8], [8, 8], [9, 9], [10], [10], [10], [8, 8], [6, 6, 6], [6, 8, 8], [4, 8, 8], [9, 9], [7, 7, 7], [7, 10], [9, 9], [10], [9, 9], [10], [4, 4, 4, 10], [10]]
[[4, 8, 8], [5], [8, 8], [], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [4, 8, 8], [7, 10], [4, 4, 10], [9, 9], [9, 9], [6], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], []]
[[8, 8], [10, 10], [7, 7], [9, 9], [9, 9], [10, 10], [9, 9], [9, 9], [8, 8], [6, 6, 6], [8, 8], [10, 10], [5, 6], [], [7, 7], [], [4, 4, 4, 4], [8, 8], [], [10, 10], [8, 8]]
[[8, 8], [7, 7], [10], [5], [10], [9, 9], [7, 10], [9, 9], [6, 8], [8, 8], [8, 8], [8, 9], [8, 9], [8, 10], [], [9, 9], [4, 4, 4, 4], [6, 6, 6], [10], [10], [7, 10], [10]]
[[9], [10], [8, 8], [9, 9], [7, 10], [10], [7, 10], [5], [6, 8], [4, 4, 9], [4, 4, 8], [7, 10], [8, 8], [9, 9], [], [10], [8, 8], [9, 9], [6, 6, 6], [8, 8], [10], [7, 10], []]
[[8, 8], [8, 9], [9], [9], [8, 8], [9], [10], [], [4, 9], [8, 8], [7, 7], [7, 10], [4, 4, 9], [6, 6], [6, 6], [4, 10], [7, 10], [8, 9], [10], [9], [5, 10], [10], [8, 8], [10]]
[[4, 4, 9], [6, 10], [8, 8], [6, 10], [9], [], [7, 9], [], [8, 8], [6, 10], [8, 8], [4, 4, 8], [6, 10], [8, 9], [8, 8], [9], [5, 9], [7, 7], [9], [10], [10], [], [9], [10], [7, 10]]
[[8, 8], [8, 8], [9], [5, 10], [8, 8], [9], [10], [9], [8, 8], [6, 10], [9], [9], [10], [], [7, 7], [10], [10], [9], [6, 9], [10], [7, 7], [], [4, 4, 4, 4], [6, 9], [8, 8], [6, 10]]
[[8, 8], [8, 8], [9], [10], [6, 9], [10], [10], [8, 8], [10], [6, 10], [8, 8], [10], [9], [9], [4, 4, 4, 4], [7, 7], [9], [], [8, 8], [7, 7], [], [5, 10], [9], [6, 6], [9], [10], [9]]
[[4, 8], [9], [6, 8], [8], [5, 9], [7, 7], [8], [9], [10], [4, 10], [7, 7], [4, 8], [8], [6, 8], [6, 8], [9], [6, 8], [9], [10], [10], [10], [10], [8], [4, 10], [9], [10], [9], [9]]
[[4, 4, 4], [10], [6, 8], [10], [10], [6, 8], [9], [8], [4, 9], [9], [5, 9], [7, 7], [8], [8], [9], [9], [9], [7, 7], [6, 8], [10], [6, 8], [10], [10], [8], [10], [9], [8], [8], [10]]
[[4, 4, 4], [8], [10], [10], [10], [6, 8], [8], [9], [6, 8], [4, 10], [7, 7], [8], [9], [9], [9], [6, 8], [10], [10], [8], [9], [10], [10], [9], [9], [7, 7], [8], [5, 9], [], [6, 8], [8]]
[[4, 8], [9], [9], [6, 7], [4, 8], [10], [9], [4, 8], [7], [4, 8], [6, 7], [5, 8], [10], [10], [8], [8], [6, 6], [10], [9], [7], [9], [8], [10], [10], [9], [10], [8], [9], [10], [9], [8]]
[[4, 9], [4, 9], [5, 8], [8], [], [8], [8], [8], [4, 9], [8], [6, 7], [8], [4, 9], [10], [10], [10], [10], [10], [8], [8], [9], [10], [8], [9], [6, 7], [], [9], [10], [6, 7], [6, 7], [10], [9]]
[[10], [8], [8], [7], [10], [8], [9], [10], [4, 8], [10], [4, 8], [4, 8], [4, 8], [6, 7], [9], [6, 6], [8], [10], [9], [9], [8], [], [9], [10], [9], [9], [10], [10], [5, 7], [6, 7], [9], [], [8]]
[[9], [9], [10], [8], [8], [7], [9], [4, 4], [10], [9], [6, 6], [4, 8], [4, 8], [10], [9], [8], [10], [10], [8], [7], [9], [9], [10], [9], [10], [10], [], [7], [5, 7], [8], [8], [6, 6], [8], [8]]
[[4, 4], [10], [9], [], [7], [7], [8], [6, 6], [4, 8], [4, 7], [5, 7], [9], [8], [8], [], [6, 6], [10], [8], [10], [10], [8], [9], [9], [8], [10], [8], [10], [8], [9], [8], [10], [9], [10], [9], [9]]
[[9], [], [10], [10], [6, 6], [], [9], [10], [9], [5], [9], [10], [4, 8], [9], [4, 7], [4, 7], [4, 8], [8], [10], [8], [8], [8], [8], [10], [8], [8], [7], [9], [9], [8], [10], [10], [6, 6], [9], [7], []]
[[8], [8], [8], [8], [10], [10], [4, 4, 4], [8], [8], [], [6, 6], [7], [8], [9], [10], [6, 6], [], [], [9], [5], [10], [9], [8], [9], [7], [9], [10], [9], [7], [10], [8], [9], [9], [10], [10], [8], [4, 7]]
[[7], [8], [8], [10], [8], [8], [9], [5], [7], [], [], [6, 6], [7], [10], [4, 4, 4], [10], [9], [8], [9], [4, 8], [10], [6, 6], [8], [], [], [7], [9], [9], [9], [10], [8], [8], [10], [9], [10], [9], [8], [10]]
[[8], [10], [8], [8], [8], [9], [4, 6], [8], [8], [10], [9], [10], [9], [7], [10], [9], [9], [9], [8], [4, 5], [8], [4, 6], [8], [7], [10], [8], [4, 6], [6], [], [10], [], [10], [7], [], [9], [9], [7], [10], []]
-EndAllocation

Instance: [[1], [320], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10]]
[[9, 9, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8]]
[[9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], [7, 7, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10], [6, 7, 7, 7, 7, 8, 8, 8, 9, 9]]
[[], [9, 9, 10, 10, 10, 10, 10], [6, 6, 6, 7, 7, 7, 7, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [7, 7, 7, 7, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10, 10]]
[[], [7, 7, 7, 7, 10], [9, 9, 10, 10], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10], [], [6, 8, 8, 8, 10], [10, 10, 10, 10]]
[[], [6, 6, 6, 6], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10], [6, 6, 7, 7, 7, 7], [9, 9, 10, 10], [8, 8, 8], [6, 6, 6, 10, 10], [10, 10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 9, 9], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 10], [], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10]]
[[], [6, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 9, 9], [10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7], [10, 10, 10], [10, 10, 10]]
[[], [], [], [10, 10, 10], [9, 9, 10], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [10, 10, 10]]
[[], [6, 10, 10], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [10, 10], [7, 7, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [6, 10, 10], [10, 10], [6, 9, 9], [8, 8, 8]]
[[10], [10, 10], [9, 9], [10, 10], [10, 10], [7, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [10, 10], [6, 6, 6, 6], [6, 6, 6], [8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10]]
[[], [6, 7, 10], [8, 8, 8], [], [6, 6, 6, 6], [10, 10], [10, 10], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [6, 6, 10], [6, 6, 6, 6], [10, 10]]
[[], [9, 9], [10, 10], [7, 7, 7], [10, 10], [7], [10, 10], [6, 6, 6, 6], [6, 6, 6], [10, 10], [6, 6, 6, 6], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8, 8], []]
[[], [10, 10], [], [7, 10], [6, 6, 6], [6, 6, 6], [7, 7, 7], [10, 10], [6, 6, 6], [8, 8], [6, 6, 6], [6, 6, 6], [10, 10], [10, 10], [8, 10], [10, 10], [10, 10], [9, 9], [10, 10]]
[[], [8], [6, 6, 6], [10, 10], [6, 6, 6], [7, 7, 7], [9, 9], [10, 10], [10, 10], [10, 10], [7], [10, 10], [10, 10], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [8, 8], [], [6, 6, 6]]
[[], [8, 8], [6, 6, 6], [7], [6, 6, 8], [6, 6, 6], [10, 10], [7, 7, 7], [10, 10], [], [9, 9], [6, 6, 6], [10, 10], [], [10, 10], [6], [10, 10], [10, 10], [10, 10], [6, 6, 6], [10, 10]]
[[], [], [10, 10], [10, 10], [10, 10], [7, 7], [10, 10], [6, 6, 6], [8, 8], [10, 10], [7, 7], [10, 10], [], [], [6, 6, 6], [10], [6, 6, 6], [8, 10], [10, 10], [6, 6, 6], [6, 6, 6], [9, 9]]
[[10], [6, 6, 6], [10], [7, 10], [7, 7], [6, 10], [6, 6, 6], [10], [7, 10], [10], [6, 10], [10], [9, 9], [10], [10], [10], [10], [6, 6, 6], [6, 6, 6], [10], [8, 8], [6, 10], [8, 10]]
[[10], [10], [10], [8, 8], [8, 10], [9, 9], [10], [10], [6, 10], [6, 6, 6], [6, 10], [10], [10], [7, 7], [6, 6, 6], [10], [10], [7, 7], [6, 6, 6], [10], [10], [10], [6, 10], [6, 6, 6]]
[[10], [10], [10], [10], [8, 8], [6, 10], [10], [9], [6, 10], [6, 6], [6, 10], [6, 8], [7, 10], [10], [10], [10], [6, 10], [9], [7, 10], [6, 6], [6, 10], [6, 6], [6, 6], [6, 10], [7, 7]]
[[10], [6, 10], [10], [6, 6], [6, 10], [6, 6], [6, 6], [10], [7, 7], [10], [10], [6, 10], [6, 10], [10], [8, 8], [10], [10], [10], [6, 10], [10], [6, 8], [6, 9], [6, 6], [10], [7, 7], [9]]
[[10], [8, 8], [7, 7], [10], [6, 6], [10], [10], [6, 10], [6, 10], [7, 8], [10], [6, 6], [9], [6, 6], [6, 10], [10], [10], [6, 10], [10], [6, 6], [10], [10], [6, 6], [6, 9], [7], [10], [10]]
[[10], [10], [8], [10], [10], [6, 6], [6, 6], [10], [6, 6], [10], [7, 7], [10], [10], [10], [10], [6, 9], [10], [7, 7], [6, 6], [10], [6, 10], [8, 8], [10], [6, 6], [10], [6, 9], [6, 6], [10]]
[[10], [6, 6], [10], [9], [], [6, 10], [8], [7, 7], [10], [10], [6, 6], [6, 6], [10], [6, 10], [7, 7], [9], [10], [10], [6, 6], [10], [6, 10], [6, 6], [10], [10], [10], [8, 8], [6, 10], [6, 10], []]
[[10], [8], [6, 6], [10], [7, 7], [10], [10], [6, 6], [10], [10], [10], [10], [6, 6], [6, 8], [6, 6], [10], [10], [6, 6], [6, 6], [10], [10], [10], [9], [10], [7, 7], [6, 6], [8], [10], [9], [10]]
[[10], [10], [9], [6, 6], [6, 6], [6, 6], [10], [10], [10], [8], [6, 6], [10], [6, 6], [6, 8], [10], [8], [7, 7], [10], [10], [10], [6, 6], [10], [10], [10], [9], [7, 7], [10], [6, 6], [10], [10], []]
[[10], [10], [9], [10], [10], [7], [10], [10], [10], [6, 6], [10], [10], [6, 6], [10], [10], [], [9], [10], [6, 6], [10], [10], [6, 7], [6, 6], [6, 6], [6, 7], [6, 6], [8], [8], [6, 7], [10], [10], [8]]
[[10], [10], [6, 6], [10], [6, 6], [], [10], [], [6, 6], [6, 6], [8], [8], [10], [10], [8], [10], [10], [6, 6], [9], [9], [10], [10], [6, 7], [10], [10], [10], [6, 7], [6, 7], [6, 6], [7], [10], [10], [10]]
[[], [9], [6, 6], [9], [10], [10], [10], [6, 7], [8], [10], [10], [10], [10], [7], [10], [10], [10], [8], [6, 6], [10], [10], [], [6, 6], [6, 6], [10], [10], [10], [8], [6, 6], [6, 6], [10], [7], [7], [6, 6]]
[[7], [10], [10], [10], [8], [8], [10], [10], [10], [6, 6], [8], [7], [7], [10], [6], [6, 6], [6, 6], [], [9], [10], [10], [10], [10], [9], [7], [6, 6], [10], [10], [6, 6], [6, 6], [10], [], [6, 6], [10], [10]]
[[7], [10], [6], [], [10], [10], [6, 6], [6, 6], [10], [10], [6, 6], [10], [10], [10], [6, 6], [10], [7], [6, 6], [6, 6], [], [10], [10], [8], [10], [7], [8], [10], [10], [10], [9], [8], [9], [6, 6], [10], [7], []]
[[10], [7], [8], [8], [10], [6, 6], [7], [10], [10], [6], [10], [9], [], [10], [7], [6, 6], [6, 6], [7], [6, 6], [10], [10], [10], [], [10], [], [8], [6, 6], [6, 6], [10], [], [10], [10], [9], [6, 6], [10], [10], [10]]
[[10], [10], [], [], [], [10], [6, 6], [10], [7], [8], [6, 6], [9], [8], [7], [10], [7], [10], [6, 6], [10], [10], [10], [9], [6, 6], [10], [7], [8], [10], [], [10], [6, 6], [], [6], [10], [6, 6], [10], [6, 6], [10], [10]]
[[10], [10], [10], [], [9], [6, 6], [10], [10], [6, 6], [8], [10], [6], [6, 6], [7], [6, 6], [10], [], [10], [6, 6], [10], [10], [], [], [10], [], [6, 6], [8], [10], [8], [9], [7], [6, 6], [7], [], [10], [10], [7], [10], [10]]
[[6], [6], [7], [10], [10], [6], [10], [10], [10], [9], [6], [10], [10], [6], [10], [7], [10], [6], [8], [8], [10], [6], [6], [10], [10], [6], [6], [8], [10], [10], [6], [6], [10], [7], [10], [7], [6], [9], [6], [6]]
-EndAllocation

Instance: [[1], [319], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [5, 5, 5, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10], [5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 8, 10]]
[[], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9]]
[[8, 8, 8, 9, 9, 9], [5, 5, 5, 7, 7, 7], [8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 7, 7], [10, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [10, 10, 10]]
[[6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8], [10, 10, 10, 10], [], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 5, 9]]
[[], [9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [5, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8]]
[[10, 10, 10], [5, 5, 5, 8, 8], [7, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [], [7, 7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10]]
[[10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8, 8], [7, 8, 8], [5, 5, 5, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9], [], [9, 9, 9, 9], [], [10, 10, 10]]
[[9, 9, 9], [9, 9, 9], [10, 10, 10], [10, 10], [8, 8, 8, 8], [5, 5, 5, 9, 9], [8, 8], [10, 10, 10], [8, 8, 8, 8], [7, 7], [6, 6, 6, 6, 6], [7, 7, 7, 7], []]
[[8, 8, 8], [9, 9, 9], [10, 10, 10], [], [6, 6, 6, 6, 6], [7, 7, 8], [], [7, 7, 7, 7], [5, 5, 5, 9], [9, 10, 10], [8, 8, 8], [8, 8, 8], [9, 9, 9], [10, 10, 10]]
[[8, 8, 8], [10, 10], [7, 7, 7, 7], [10, 10], [6, 6, 6, 6], [9, 9, 9], [9, 9], [6], [7, 10, 10], [7], [8, 8, 8], [5, 5, 5], [8, 10, 10], [8, 8, 8], [9, 9, 9]]
[[7, 7, 7], [10, 10], [9, 9], [9, 9], [10, 10], [10, 10], [7, 7, 7], [9, 9], [], [6, 6, 6, 6], [8, 8, 8], [9, 9], [8, 8, 8], [8, 8, 8], [6, 10, 10], [5, 5, 5, 8]]
[[8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [8], [9, 9], [7, 7, 7], [8, 8, 8], [8, 8, 8], [5, 5, 5], [6, 9, 9], [], [9, 9], [7, 7, 7], [10, 10], [9, 9]]
[[6, 9, 9], [], [10, 10], [], [10, 10], [5, 5, 5, 8], [10, 10], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [7, 7, 7], [10, 10], [9, 9], [8, 8, 8], []]
[[10, 10], [9, 9], [8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 6], [7, 7, 7], [10, 10], [5, 5, 5], [7, 7, 7], [9, 9], [6, 8, 8], [9, 9], [6, 8, 8], [8, 8], [8, 8], [], []]
[[10, 10], [10, 10], [9, 9], [6, 6], [7, 7, 7], [10, 10], [9, 9], [], [9, 9], [5, 5, 5], [], [8, 8], [8, 8], [10, 10], [8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [8, 8]]
[[8, 8], [9, 9], [10, 10], [9, 9], [6, 6, 6], [10, 10], [7, 7, 7], [], [], [5, 5, 5], [10, 10], [8, 8], [6, 6], [8, 8], [8, 8], [7, 7, 7], [9, 9], [], [8, 8], [10, 10], [9, 9]]
[[8, 8], [9, 9], [9, 9], [9, 9], [10, 10], [7, 7], [6, 6], [10, 10], [], [], [9, 9], [5, 5, 5], [8, 8], [8, 8], [10, 10], [8, 8], [6, 6, 6], [8, 8], [7, 7], [10, 10], [7, 7], []]
[[10], [8, 8], [10], [7, 10], [10], [9, 9], [7, 7], [10], [6, 10], [8, 8], [], [6, 6, 6], [8, 8], [8, 8], [9, 9], [5, 5, 5], [7, 10], [8, 8], [6, 10], [7, 7], [9, 9], [], [9, 9]]
[[7, 7], [10], [10], [10], [10], [8, 8], [9, 9], [7, 10], [8, 8], [8, 8], [6, 10], [9, 9], [6, 6, 6], [8, 8], [9, 9], [10], [5, 5, 5], [7, 7], [7, 10], [], [8, 8], [], [9, 9], [6]]
[[7, 10], [8, 8], [5, 5, 5], [10], [9], [7, 10], [9], [7, 10], [6, 10], [8, 8], [7, 10], [9], [9], [6, 6], [6, 9], [6], [8, 8], [], [9], [10], [8, 8], [9], [7, 9], [7, 10], [8, 8]]
[[8, 8], [], [10], [6, 10], [9], [7, 8], [7, 10], [9], [5, 5, 5], [7, 7], [8, 9], [8, 8], [9], [6, 6], [8, 8], [8, 8], [6, 9], [], [9], [7, 9], [10], [9], [6, 10], [7, 10], [10], [10]]
[[10], [7, 7], [10], [9], [9], [10], [9], [9], [10], [10], [9], [10], [7, 7], [8, 8], [5, 5, 5], [10], [8, 8], [6, 6], [8, 8], [8, 8], [6, 6], [8, 8], [9], [9], [10], [7, 7], [6, 9]]
[[6, 6], [10], [9], [10], [10], [9], [7, 9], [10], [8, 8], [8, 8], [10], [9], [7, 7], [9], [10], [10], [6, 6], [5, 5, 5], [8, 8], [8, 8], [], [8, 8], [7, 9], [9], [], [9], [6, 10], [7, 7]]
[[6, 8], [10], [9], [9], [10], [10], [8], [10], [7, 7], [6, 8], [6, 8], [10], [10], [6, 8], [7, 7], [5, 8], [6, 8], [8], [7, 7], [10], [9], [5, 8], [9], [9], [10], [5, 9], [8], [9], [9]]
[[8], [7, 7], [10], [8], [7, 7], [6, 8], [10], [6, 8], [7, 7], [8], [5, 9], [9], [10], [6, 8], [10], [6, 8], [8], [9], [9], [10], [6, 8], [10], [10], [10], [8], [9], [9], [5, 5], [9], [9]]
[[6, 8], [9], [9], [9], [10], [7, 7], [10], [9], [6, 8], [9], [5, 9], [5, 5], [9], [9], [10], [10], [6, 6], [7, 7], [10], [8], [7, 7], [8], [8], [10], [10], [8], [8], [8], [6, 8], [10], [8]]
[[6, 7], [9], [10], [10], [8], [8], [9], [9], [5, 8], [10], [10], [9], [9], [8], [8], [5, 8], [8], [8], [10], [10], [6, 7], [9], [5, 8], [10], [6, 7], [9], [10], [6, 7], [6, 7], [7], [8], [9]]
[[10], [9], [10], [9], [7], [8], [7], [9], [9], [7], [9], [5, 8], [10], [6, 7], [8], [8], [10], [8], [8], [6, 6], [5, 8], [9], [5, 8], [8], [6, 7], [8], [10], [10], [10], [10], [6, 7], [9], [9]]
[[10], [5, 6], [10], [10], [10], [5, 7], [7], [9], [6, 7], [9], [8], [10], [9], [7], [8], [8], [8], [9], [8], [10], [9], [8], [7], [5, 8], [6, 7], [9], [9], [8], [9], [8], [6, 6], [10], [10], [8]]
[[6, 6], [9], [8], [8], [10], [8], [9], [8], [9], [10], [10], [7], [10], [10], [9], [8], [9], [5, 7], [7], [10], [8], [10], [5, 5], [7], [8], [9], [8], [6, 6], [9], [8], [7], [8], [6, 7], [10], [9]]
[[9], [7], [6, 6], [10], [8], [8], [8], [6, 6], [10], [8], [8], [8], [8], [7], [8], [8], [7], [7], [7], [10], [10], [9], [9], [5, 5], [10], [9], [10], [9], [9], [5, 7], [8], [10], [9], [9], [6], [10]]
[[10], [10], [6, 6], [6, 6], [8], [7], [10], [9], [8], [5, 5], [8], [8], [8], [8], [9], [10], [7], [9], [7], [7], [10], [9], [8], [10], [8], [9], [5], [9], [9], [8], [8], [7], [7], [10], [6], [10], [9]]
[[10], [10], [8], [7], [8], [7], [7], [7], [8], [7], [8], [9], [5], [6], [], [10], [8], [7], [8], [8], [6, 6], [8], [10], [9], [8], [9], [5, 5], [9], [9], [10], [9], [9], [8], [10], [6, 6], [9], [10], [10]]
[[10], [5, 5], [7], [6, 6], [7], [7], [5], [9], [8], [8], [9], [8], [8], [7], [8], [8], [10], [9], [6], [6, 6], [8], [9], [8], [], [10], [], [7], [9], [7], [9], [10], [8], [9], [9], [8], [10], [10], [10], [10]]
[[10], [5], [6], [6], [9], [10], [8], [7], [8], [8], [8], [8], [8], [8], [9], [9], [10], [5, 5], [], [10], [10], [7], [7], [10], [6], [8], [9], [7], [6], [9], [8], [7], [9], [8], [6], [9], [7], [10], [9], [10]]
-EndAllocation

Instance: [[1], [318], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 3, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[2, 3, 3, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 10]]
[[2, 3, 3, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[2, 3, 3, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 3, 3, 7, 7, 7, 7, 7, 8, 10, 10, 10], [7, 8, 8, 8, 8, 8, 8, 10, 10, 10], [6, 6, 6, 6, 6, 10, 10, 10], [10, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[2, 3, 3, 6, 6, 6, 6, 6, 7], [7, 7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [9, 10]]
[[2, 3, 3, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [9, 9]]
[[2, 3, 3, 6, 8, 8, 9, 10], [9], [7, 7, 7, 7, 7, 7, 9], [9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 9], [9], [9, 10, 10, 10, 10], [6, 6, 6, 6, 9, 10, 10]]
[[2, 3, 3, 8, 8, 8, 8], [8, 8, 8, 10, 10], [9, 9, 10], [6, 6, 6, 6, 6, 9, 9], [10, 10, 10, 10], [9, 9], [9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[2, 3, 3, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8], [], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[2, 3, 3, 6, 6, 8, 10], [6, 6, 6, 10, 10], [7, 7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [], [10, 10, 10], [7], [10, 10, 10], [8, 8, 10, 10]]
[[2, 3, 3, 6, 7, 10], [6, 6, 6, 6, 10], [], [8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [8, 8], [10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [9, 9, 9], [10, 10, 10], [], [7, 7, 9, 9], [10, 10], [9, 9, 9], [2, 3, 3, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 7, 7], []]
[[3, 3, 7, 7, 9], [10, 10, 10], [8, 8, 8], [8], [], [6, 6, 6, 6, 6], [7, 7, 7, 7], [], [8, 8, 8], [10, 10, 10], [2, 9, 9, 10], [9, 9, 10], [10, 10, 10], [9, 9, 9]]
[[2, 3, 3, 8, 8], [], [10, 10], [6, 6, 6, 6], [9, 9, 9], [10, 10], [8, 8, 8], [7, 7, 10], [8, 8, 10], [6, 10, 10], [9, 9, 10], [7, 7, 7, 7], [], [9, 9, 9], [10, 10]]
[[2, 8, 8, 8], [9, 9], [9, 9], [8, 10], [], [7, 7, 7], [9, 9], [6, 10, 10], [6, 6, 6, 6], [3, 3, 7, 10], [9, 9], [10, 10], [7, 7, 10], [10, 10], [8, 8, 8], [10, 10]]
[[3, 3, 9, 9], [6, 6, 6, 6], [], [10, 10], [], [9, 9], [7, 7, 7], [10, 10], [2, 10, 10], [6, 8, 10], [8, 8, 8], [7, 7, 7], [9, 9], [8, 8, 8], [10, 10], [9, 9], [10, 10]]
[[2, 3, 3, 6, 7], [], [8, 8], [8, 8], [6, 6, 6, 6], [10, 10], [9, 9], [8, 10], [10, 10], [7, 8, 8], [7, 7, 10], [10, 10], [7, 7, 10], [10, 10], [9, 9], [9, 9], [], [9, 9]]
[[3, 9, 9], [7, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8], [6, 6, 6], [9, 9], [2, 3, 8, 8], [7, 7, 7], [6, 6, 10], [9, 9], [8], [9, 9], [10, 10], [], [], [8, 8]]
[[2, 3, 3, 6, 6], [], [10, 10], [], [10, 10], [9, 9], [], [9, 9], [8, 8], [8, 10], [8, 9], [10, 10], [8, 9], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [10, 10]]
[[10, 10], [10, 10], [7, 7, 7], [], [10, 10], [7, 7, 7], [], [10, 10], [8, 8], [2, 3, 3, 8], [8, 8], [8, 10], [8, 9], [6, 6, 6], [9, 9], [6, 6, 9], [], [], [9, 9], [9, 9], [10, 10]]
[[2, 3, 3, 10], [8, 8], [9, 9], [10, 10], [7, 7], [9, 9], [10, 10], [6, 6], [], [8, 8], [7, 10], [7, 10], [8, 10], [8, 10], [8, 10], [6, 6, 6], [9, 9], [10], [], [7, 7], [], [9, 9]]
[[2, 10], [10], [10], [10], [9, 9], [7, 10], [10], [6, 6, 6], [8, 8], [8, 8], [8, 8], [3, 3, 10], [9, 9], [7, 10], [7, 7], [6, 6], [7, 7], [10], [8], [9, 9], [10], [9, 9], [10]]
[[2, 8, 8], [10], [10], [10], [10], [], [10], [7, 7], [3, 3, 10], [6, 6, 6], [8, 8], [9, 9], [8, 10], [9, 9], [6, 10], [8, 8], [], [7, 7], [6, 10], [10], [10], [9, 9], [7, 7], [9, 9]]
[[2, 3, 3, 6], [10], [10], [9], [7, 10], [6, 10], [7, 9], [7, 10], [7, 10], [8, 8], [9], [10], [9], [8], [9], [8, 8], [9], [7, 10], [7, 10], [6, 6], [10], [10], [8, 8], [6, 9], [9]]
[[8, 8], [7, 9], [6, 10], [10], [8, 8], [6, 10], [6, 9], [7, 7], [10], [8, 8], [2, 3, 10], [7, 9], [3, 10], [6, 10], [7, 7], [6, 9], [9], [8, 9], [9], [], [10], [], [10], [10], [9], [10]]
[[3, 3, 10], [6, 10], [6, 9], [10], [], [7, 9], [7, 9], [2, 9], [8, 8], [6, 6], [6, 9], [10], [8, 8], [8, 8], [10], [10], [10], [9], [7, 7], [8], [10], [10], [9], [9], [7, 7], [10], [10]]
[[2, 3, 3, 6], [10], [10], [10], [10], [7, 7], [10], [7, 9], [8, 8], [8], [9], [6, 6], [10], [9], [10], [6, 6], [8, 8], [8, 8], [9], [10], [9], [7, 9], [10], [10], [10], [9], [7, 7], [9]]
[[2, 3, 9], [10], [10], [10], [10], [10], [10], [10], [10], [7, 7], [6, 8], [3, 9], [6, 8], [6, 8], [6, 8], [8], [10], [6, 8], [8], [9], [9], [9], [9], [10], [7, 7], [10], [9], [9], [7, 7]]
[[3, 9], [6, 8], [9], [8], [9], [9], [7, 7], [10], [6, 8], [9], [10], [8], [10], [9], [6, 6], [7, 7], [10], [7, 7], [10], [2, 10], [8], [10], [10], [9], [10], [10], [10], [3, 9], [8], [6, 8]]
[[2, 3, 9], [10], [9], [9], [8], [10], [8], [9], [9], [7, 7], [3, 10], [9], [9], [10], [6, 6], [8], [6, 6], [10], [10], [10], [8], [10], [8], [10], [10], [7, 7], [7, 7], [8], [6, 8], [10], [9]]
[[6, 7], [10], [6, 7], [8], [10], [8], [10], [8], [3, 3, 7], [8], [9], [10], [8], [6, 7], [2, 10], [9], [6, 7], [9], [9], [9], [6, 7], [10], [9], [10], [9], [10], [9], [10], [8], [10], [10], [8]]
[[2, 9], [10], [8], [9], [8], [10], [8], [6, 7], [10], [6, 7], [9], [10], [9], [10], [6, 7], [9], [10], [10], [9], [10], [10], [8], [8], [6, 6], [9], [8], [10], [9], [7], [8], [7], [10], [3, 3, 7]]
[[2, 10], [3, 9], [3, 9], [6, 7], [9], [7], [9], [7], [8], [10], [8], [10], [6, 7], [10], [9], [10], [9], [9], [7], [10], [8], [10], [6, 6], [10], [10], [8], [8], [10], [6, 7], [8], [8], [9], [], [10]]
[[3, 8], [2, 9], [9], [8], [10], [8], [9], [8], [10], [10], [8], [8], [6, 7], [10], [10], [3, 7], [9], [9], [10], [7], [10], [7], [9], [8], [7], [10], [], [6, 6], [10], [7], [10], [9], [10], [9], [6, 6]]
[[2, 8], [8], [9], [7], [6], [6, 6], [10], [10], [8], [10], [10], [7], [10], [10], [10], [10], [9], [9], [9], [9], [9], [7], [7], [9], [7], [8], [6, 6], [8], [10], [8], [7], [10], [8], [10], [9], [3, 3]]
[[2, 3, 7], [3, 7], [], [8], [8], [9], [8], [9], [6, 6], [10], [9], [9], [9], [10], [7], [10], [10], [9], [10], [], [10], [9], [7], [10], [9], [10], [8], [7], [7], [10], [6, 6], [8], [8], [10], [6], [10], [8]]
[[7], [3, 3, 6], [7], [7], [10], [8], [9], [9], [9], [6, 6], [9], [8], [10], [], [8], [8], [6, 6], [7], [10], [8], [10], [10], [10], [], [10], [10], [10], [8], [9], [10], [8], [], [10], [9], [9], [7], [9], [2, 7]]
[[2, 3, 7], [8], [8], [8], [6], [10], [], [10], [10], [9], [10], [10], [6, 6], [], [9], [10], [], [8], [10], [7], [9], [7], [9], [7], [10], [10], [], [8], [10], [6, 6], [7], [9], [7], [9], [9], [8], [9], [10], [3, 8]]
[[8], [8], [8], [10], [6], [8], [], [8], [6], [9], [8], [7], [10], [9], [9], [9], [10], [], [10], [7], [7], [7], [10], [10], [10], [8], [7], [7], [9], [9], [6], [6], [9], [6], [10], [9], [10], [10], [10], [2, 3, 3]]
-EndAllocation

Instance: [[1], [317], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10], [3, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 8, 8], [9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 9, 9, 10, 10, 10, 10]]
[[10], [4, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10], [7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 9, 10]]
[[], [6, 9, 10, 10, 10, 10, 10, 10, 10], [4, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9], [3, 5, 5, 5, 7, 7, 8, 8, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7], [8, 9, 9, 10, 10, 10, 10], [3, 5, 5, 5, 7, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10], [4, 8, 8, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [3, 5, 5, 9, 9, 9, 10, 10], [5, 8, 10, 10, 10, 10], [4, 7, 7, 8, 8]]
[[], [3, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 10, 10, 10], [10, 10, 10, 10, 10], [6, 9], [4, 6, 10, 10, 10, 10]]
[[], [5, 5, 5, 10, 10, 10], [8, 9, 9], [3, 9, 10, 10, 10], [8, 8, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 7, 7, 10]]
[[], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 10, 10], [8, 8, 10], [7, 7, 10, 10], [6, 6, 6, 8, 10], [4, 9, 10, 10], [5, 5, 5, 10, 10], [3, 10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10], [3, 7, 7, 8, 8], [9, 10, 10], [10, 10, 10], [5, 5, 5, 10, 10], [6, 6, 6, 6, 10], [10, 10, 10], [4, 8, 9, 9]]
[[], [8, 10, 10], [6, 10, 10, 10], [6, 10, 10, 10], [10, 10, 10], [4, 6, 6], [10, 10], [5, 5, 5, 7, 10], [3, 10, 10, 10], [7, 9, 9], [8, 8, 9], [6, 6, 6, 6, 6, 6]]
[[], [3, 4, 9, 9], [9, 10, 10], [5, 5, 5, 10], [8, 8, 8], [10, 10, 10], [10, 10, 10], [10], [7, 7, 10], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6]]
[[], [7, 7, 10], [10, 10, 10], [4, 6, 10, 10], [10], [10, 10, 10], [10, 10, 10], [], [8, 8, 10], [6, 6, 6, 6, 6], [5, 5, 5, 6, 6], [6, 6, 9, 9], [9, 10, 10], [3, 8, 10]]
[[], [4, 10, 10], [10, 10], [6, 6, 6, 8], [5, 5, 10], [3, 10, 10], [6, 6, 6, 10], [10], [9, 9, 10], [6, 6, 6, 6], [7, 7, 8], [10, 10], [5, 10, 10], [8, 9, 10], [10, 10]]
[[], [10], [4, 10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [6, 10, 10], [6, 8, 9], [3, 7, 10], [7, 10], [5, 5, 5, 10], [10, 10], [9, 9], [6, 6, 6, 6], [8, 8, 10]]
[[], [7, 10], [5, 10, 10], [10, 10], [10, 10], [6, 6, 10], [6, 9, 9], [4, 6, 6, 6], [10], [10, 10], [8], [10, 10], [3, 7, 10], [6, 6, 6, 6], [10, 10], [5, 5, 10], [8, 8, 9]]
[[], [10, 10], [7, 10], [10, 10], [6, 6, 6], [7, 10], [10, 10], [3, 8, 9], [10], [10, 10], [9, 9], [10, 10], [8, 8], [10, 10], [5, 5, 5], [10, 10], [4, 6, 6, 6], [6, 6, 6, 6]]
[[], [6, 6, 6], [8, 8], [4, 10], [10, 10], [8, 10], [10, 10], [10, 10], [10, 10], [6, 10], [6, 6, 6], [3, 9, 10], [7, 7], [10, 10], [5, 5, 5], [6, 6, 6], [10], [10, 10], [9, 9]]
[[], [10, 10], [10, 10], [7, 8], [6, 6], [10, 10], [5, 5, 8], [4, 10], [6, 6, 6], [6, 6], [7, 10], [10], [10, 10], [10, 10], [5], [9, 9], [10, 10], [10, 10], [3, 6, 6, 6], [8, 9]]
[[], [3, 4, 10], [10], [10, 10], [9, 9], [10, 10], [6, 6, 6], [5, 9], [6, 8], [6, 6, 6], [], [10, 10], [], [6, 6, 6], [10, 10], [10, 10], [8, 8], [10, 10], [10, 10], [5, 5, 10], [7, 7]]
[[], [9, 9], [6, 10], [4, 5], [10, 10], [6, 6, 6], [10, 10], [8, 10], [7, 7], [10, 10], [6, 6, 8], [10, 10], [10, 10], [3], [5, 5], [], [10, 10], [], [6, 6, 6], [6, 10], [9, 10], [8, 10]]
[[10], [9, 9], [5, 10], [5, 10], [6, 10], [10], [10], [10], [10], [3, 10], [6, 6, 6], [6, 10], [6, 6, 6], [8, 8], [10], [4, 9], [8, 10], [10], [10], [6, 10], [7, 7], [6, 10], [5, 10]]
[[10], [10], [10], [10], [10], [6, 10], [6, 10], [3, 10], [10], [4, 10], [5, 5, 5], [9, 9], [10], [6, 6, 6], [10], [7, 7], [10], [6, 8], [8, 10], [10], [6, 9], [8, 10], [10], [6, 6, 6]]
[[10], [10], [6, 10], [7, 7], [3, 10], [6, 10], [6, 10], [10], [4, 10], [5, 5, 5], [8], [10], [9], [6, 10], [6, 10], [9], [10], [8, 8], [10], [10], [6, 10], [6, 6], [6, 9], [6, 10], [10]]
[[10], [10], [10], [6, 10], [6, 6], [6, 10], [4, 10], [7, 10], [10], [10], [10], [10], [6, 8], [10], [5, 5, 5], [6, 6], [7, 8], [10], [3, 10], [9], [10], [10], [6, 9], [6, 6], [8, 9], [10]]
[[10], [6, 8], [6, 6], [6, 6], [10], [10], [9], [10], [6, 10], [10], [10], [8, 8], [10], [10], [3, 10], [6, 6], [5, 5, 6], [7, 7], [10], [10], [6, 9], [10], [5, 9], [10], [4, 10], [10], [10]]
[[9], [5, 7], [6, 10], [6, 6], [5, 5, 6], [6, 10], [10], [10], [10], [10], [6, 10], [6, 6], [3, 10], [8, 8], [6, 10], [9], [10], [10], [], [10], [10], [8], [10], [10], [9], [4, 10], [6, 7], [10]]
[[10], [10], [6, 6], [6, 6], [10], [3, 10], [6, 7], [10], [10], [10], [10], [6, 8], [10], [10], [5, 9], [10], [10], [6, 8], [6, 8], [9], [9], [10], [10], [4, 7], [10], [6, 6], [10], [10], [5, 5]]
[[9], [6, 8], [6, 6], [10], [10], [10], [10], [10], [4, 10], [3, 10], [10], [9], [10], [10], [9], [5, 5], [10], [10], [8], [10], [10], [10], [6, 6], [6, 6], [7, 7], [8], [6, 6], [10], [10], [5, 6]]
[[10], [10], [9], [6, 8], [10], [10], [8], [7, 7], [10], [9], [9], [10], [10], [6, 8], [10], [10], [10], [5], [10], [10], [3, 10], [], [10], [4, 10], [10], [5, 5], [10], [6, 6], [6, 6], [6, 6], [6, 6]]
[[5, 6], [8], [10], [10], [10], [7], [10], [9], [4, 9], [10], [5, 5], [6, 6], [9], [3, 6], [10], [10], [8], [10], [10], [7], [10], [10], [6, 6], [10], [8], [6, 6], [10], [6, 6], [10], [10], [10], [10]]
[[10], [10], [7], [10], [10], [10], [10], [10], [5, 7], [9], [10], [10], [9], [10], [8], [10], [8], [10], [6, 6], [10], [6, 6], [8], [6, 6], [10], [], [9], [10], [3, 10], [5, 5], [10], [6, 6], [4], [6, 6]]
[[10], [9], [10], [9], [10], [6, 6], [10], [10], [7], [10], [6, 6], [4], [7], [10], [5, 8], [10], [6, 6], [8], [10], [10], [10], [10], [10], [10], [3, 5, 5], [10], [8], [6, 6], [10], [6, 6], [10], [], [], [9]]
[[10], [6, 6], [10], [5, 6], [10], [5, 5], [], [8], [9], [6, 7], [6, 6], [3], [6, 6], [7], [10], [8], [4], [10], [10], [10], [9], [10], [10], [10], [10], [10], [8], [10], [10], [10], [10], [], [9], [10], [6, 6]]
[[9], [5], [], [], [10], [10], [7], [4], [6, 6], [9], [6, 6], [8], [10], [10], [10], [10], [8], [6, 6], [6, 6], [5, 5], [10], [10], [7], [10], [10], [10], [10], [10], [], [3, 8], [10], [10], [10], [6, 6], [9], [10]]
[[10], [10], [10], [], [10], [7], [8], [10], [10], [5, 5], [10], [10], [10], [6, 6], [7], [6], [8], [6, 6], [5], [6, 6], [3], [10], [6], [9], [10], [9], [8], [10], [10], [10], [6, 6], [10], [4], [10], [10], [9], []]
[[10], [], [6], [9], [10], [10], [8], [3, 6], [], [9], [8], [5, 6], [10], [10], [10], [7], [7], [], [10], [6, 6], [10], [10], [10], [5, 5], [], [6, 6], [10], [6, 6], [10], [10], [9], [10], [10], [10], [4, 6], [], [10], [8]]
[[10], [10], [10], [10], [6, 6], [7], [], [7], [9], [10], [10], [10], [6, 6], [], [5, 5], [], [6, 6], [9], [], [4, 8], [10], [5], [10], [10], [9], [10], [], [10], [6, 6], [8], [10], [], [10], [10], [6, 6], [10], [8], [3], [10]]
[[10], [6], [6], [10], [7], [10], [6], [10], [8], [], [9], [10], [4], [10], [5, 5], [10], [10], [10], [10], [10], [10], [8], [10], [3], [8], [7], [10], [10], [6], [10], [10], [5], [6], [6], [9], [9], [6], [6], [6], [6]]
-EndAllocation

Instance: [[1], [316], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [210, 141, 105, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [158, 106, 79, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 5, 5, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 5, 5], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9]]
[[4, 7, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 10, 10, 10], [6, 6, 6, 6, 6, 8, 9], [10, 10, 10, 10, 10, 10, 10], [3, 5, 5, 9, 9, 9, 9, 9, 9], []]
[[3, 4, 10, 10, 10, 10], [6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9], []]
[[3, 4, 8, 8, 9, 10, 10], [9], [7, 7, 7, 7, 7, 7, 9], [9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9], [9, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 9]]
[[3, 8, 8, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9], [5, 5, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9], [], [10, 10, 10, 10], [4, 7, 7, 7, 7, 7, 7]]
[[3, 4, 6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [8, 8, 8, 8, 8], [5, 5], [9, 9, 9, 9], [10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[3, 4, 9, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 9, 9], [8, 8, 8, 8], [10, 10], [10, 10], [7, 10, 10], [10, 10]]
[[3, 4, 8, 8, 8], [10, 10, 10], [], [7, 9, 9, 9], [5, 5, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8, 8, 8], [8, 8, 10, 10], [], [10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [9, 9, 9], [10, 10, 10], [], [7, 7, 9], [8, 8, 10], [6, 9, 9, 9], [3, 4, 6, 8, 8], [5, 5, 6, 6, 6], [7, 7, 7, 7], []]
[[4, 8, 8, 8], [10, 10, 10], [7, 7], [8, 8], [], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9], [8, 8, 8], [10, 10, 10], [3, 5, 5, 10], [9, 9, 9], [10, 10, 10], [9, 9, 9]]
[[3, 8, 8, 8], [10, 10], [7, 10, 10], [6, 6, 6, 6], [9, 9, 9], [], [], [7, 10, 10], [8, 8], [4, 5, 5, 6, 9], [8, 8, 8], [7, 7, 7, 7], [10, 10], [9, 9, 9], [10, 10]]
[[8, 8, 8], [9, 9], [], [8, 8, 8], [5, 5, 9], [7, 7, 7], [9, 9], [10, 10], [6, 6, 6, 6], [4, 10, 10], [6, 9, 9], [3, 10, 10], [7, 7, 7], [10, 10], [8, 8], [10, 10]]
[[3, 10, 10], [6, 6, 6, 6], [], [10, 10], [10, 10], [9, 9], [7, 7, 7], [5, 5, 8], [9], [4, 6, 8], [8, 8, 8], [7, 7, 7], [9, 9], [8, 8, 8], [10, 10], [9, 9], [10, 10]]
[[3, 4, 8, 8], [10, 10], [8, 8], [], [6, 6, 6, 6], [8, 10], [9, 9], [10, 10], [9, 9], [6, 8, 8], [7, 7, 7], [7, 8], [7, 7, 10], [10, 10], [9, 9], [9, 10], [10], [5, 5]]
[[3, 9, 9], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 7], [8, 8], [6, 6, 6], [8, 8], [4, 6, 10], [7, 7, 7], [6, 8, 8], [9, 10], [], [9, 9], [10, 10], [5, 5], [], [8, 8]]
[[3, 4, 10], [10], [6, 6], [], [10, 10], [9, 9], [5, 5], [9], [8, 8], [8, 8], [10, 10], [8, 8], [9, 9], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [10, 10]]
[[3, 4, 10], [10], [10], [], [10], [7, 7, 7], [5, 5, 10], [10], [8, 8], [8, 8], [8, 10], [8, 10], [9, 10], [6, 6, 6], [7, 7, 7], [6, 6], [9, 9], [8, 8], [9, 9], [9, 9], [10]]
[[3, 7, 7], [8, 8], [9, 9], [10, 10], [7, 7], [9, 9], [10, 10], [], [8, 8], [8, 8], [], [5, 5], [10, 10], [8, 8], [10, 10], [6, 6, 6], [9, 9], [], [6, 6], [4, 7, 7], [10, 10], [9]]
[[8, 8], [7, 10], [10], [10], [9, 9], [7, 7], [5, 9], [6, 6, 6], [8, 8], [3, 4, 10], [5, 6], [10], [10], [10], [7, 7], [6, 10], [7, 10], [], [8, 8], [9, 9], [10], [9, 9], [8, 8]]
[[3, 4, 5, 6], [9], [10], [10], [10], [10], [10], [10], [8, 8], [7, 7], [6, 9], [8, 10], [8, 10], [5, 9], [10], [8, 8], [7, 7], [7, 7], [10], [8, 8], [], [9, 9], [6, 6, 6], [9, 9]]
[[8, 8], [], [5, 10], [7, 10], [9], [6, 10], [9], [7, 10], [8, 8], [8, 8], [3, 4, 10], [6, 10], [7, 10], [6, 6], [9], [], [10], [7, 7], [7, 10], [6, 9], [9], [9], [8, 8], [9], [5, 10]]
[[10], [7, 9], [6, 6], [10], [7, 10], [6, 6], [6, 9], [5, 5], [8, 8], [8, 9], [8, 8], [3, 4, 9], [7, 7], [10], [7, 7], [10], [8, 9], [10], [8, 9], [10], [], [10], [10], [8, 9], [10], []]
[[3, 10], [], [6, 9], [10], [9], [9], [9], [9], [10], [6, 6], [5, 10], [10], [8, 8], [8, 8], [5, 10], [10], [7, 7], [6, 6], [7, 7], [8, 8], [9], [9], [4, 10], [8, 8], [7, 7], [10], [10]]
[[4, 10], [10], [8], [], [8], [10], [8], [7, 7], [10], [3, 10], [8, 8], [6, 6], [5, 5], [6, 6], [7, 9], [6, 9], [10], [8, 8], [10], [9], [10], [7, 9], [10], [7, 9], [9], [7, 9], [10], [8]]
[[3, 8], [10], [8], [9], [9], [10], [9], [8], [6, 8], [6, 6], [10], [9], [7, 7], [5, 9], [8], [8], [6, 8], [10], [10], [7, 7], [10], [4, 10], [10], [10], [7, 7], [5, 9], [9], [6, 8], [10]]
[[3, 8], [10], [9], [7, 7], [9], [10], [8], [7, 7], [7, 7], [6, 8], [6, 8], [9], [6, 8], [10], [10], [9], [6, 8], [10], [9], [4, 6], [8], [10], [5, 5], [10], [9], [9], [10], [10], [8], [10]]
[[3, 9], [5, 9], [10], [10], [7, 7], [10], [8], [8], [7], [4, 9], [10], [6, 8], [5, 8], [9], [6, 6], [8], [8], [6, 6], [10], [10], [10], [9], [10], [8], [8], [7], [10], [9], [9], [10], [7, 7]]
[[6, 7], [9], [9], [10], [8], [8], [10], [5, 8], [3, 9], [10], [], [8], [10], [9], [4, 9], [6, 7], [10], [10], [10], [10], [6, 7], [10], [10], [9], [5, 8], [8], [6, 7], [7], [8], [6, 7], [9], [8]]
[[3, 8], [4, 7], [5, 7], [10], [10], [10], [10], [9], [9], [8], [8], [7], [9], [6, 7], [10], [10], [10], [9], [8], [7], [9], [10], [7], [6, 6], [9], [10], [6, 6], [8], [9], [8], [8], [5, 8], [10]]
[[3, 7], [10], [9], [6, 7], [9], [10], [8], [10], [9], [9], [10], [10], [5, 5], [10], [10], [10], [7], [8], [7], [9], [8], [10], [6, 6], [9], [8], [8], [7], [6, 6], [7], [8], [8], [9], [10], [4, 8]]
[[3, 8], [4, 8], [6, 7], [8], [10], [8], [9], [10], [8], [10], [8], [10], [6, 7], [6, 7], [9], [7], [9], [8], [10], [], [], [9], [7], [10], [8], [9], [10], [6, 6], [10], [5, 5], [7], [9], [10], [10], [9]]
[[3, 7], [4, 8], [8], [10], [9], [9], [9], [9], [8], [9], [10], [10], [10], [10], [6], [10], [10], [9], [10], [9], [7], [8], [5, 7], [7], [7], [8], [7], [8], [8], [6, 6], [6], [8], [], [10], [10], [5, 6]]
[[4, 7], [], [8], [8], [10], [6, 6], [10], [10], [7], [10], [9], [10], [9], [10], [5, 7], [9], [9], [10], [5, 7], [10], [6], [10], [8], [9], [7], [10], [8], [8], [7], [9], [6, 6], [9], [8], [8], [], [], [3, 8]]
[[3, 8], [4, 8], [6], [10], [7], [], [9], [5, 7], [9], [6, 6], [9], [8], [10], [6, 6], [8], [8], [7], [5, 7], [10], [8], [10], [10], [10], [9], [10], [10], [10], [], [8], [10], [8], [], [], [9], [9], [7], [9], [7]]
[[3, 7], [8], [6, 6], [8], [7], [8], [6], [10], [10], [9], [10], [10], [6, 6], [], [], [10], [], [8], [10], [8], [9], [10], [9], [7], [10], [7], [10], [8], [9], [9], [7], [9], [5, 5], [10], [9], [7], [], [8], [4, 8]]
[[6], [8], [8], [9], [8], [7], [6], [8], [7], [9], [8], [7], [9], [], [9], [9], [10], [5, 5], [8], [10], [10], [7], [10], [7], [6], [10], [10], [10], [6], [9], [7], [6], [10], [], [8], [9], [10], [10], [3, 4], [8]]
-EndAllocation

Instance: [[1], [315], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [210, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [158, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [1, 3, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9], [9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 3, 6], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10]]
[[1, 3, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10], [7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[1, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 10, 10], [9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [1, 3, 8, 8, 8, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [9]]
[[1, 3, 7, 8, 8, 8, 8, 8], [7, 9, 9, 10, 10], [7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[1, 8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [3, 10], [8, 8, 8, 8, 8]]
[[1, 8, 8, 8, 8, 8], [9, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 10, 10], [9, 9, 9, 9], [], [], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10], [3, 6, 10, 10, 10]]
[[1, 3, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8], [7, 7, 7, 7, 7], [8, 8, 8, 8], [7, 10, 10, 10], [], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9]]
[[1, 3, 6, 6, 6, 6, 6], [], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [7, 8, 8], [8, 8, 8, 8], [6], [10, 10, 10], [10, 10, 10]]
[[1, 8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [6, 7, 7, 7], [], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 9], [3, 8, 8], [6, 6, 6, 6, 6], [], [10, 10, 10]]
[[1, 3, 8, 8, 8], [8, 8, 8], [7, 7, 7, 7], [10, 10], [10, 10], [10], [8], [6, 6, 6, 6, 6], [6, 9, 9], [8, 8, 8], [7, 7, 9], [9, 10, 10], [9, 9, 9], [10, 10]]
[[1, 3, 8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9, 9], [], [10], [7, 7, 7, 7], [10, 10], [8, 10, 10], [8, 8, 8], [6, 6, 7, 7], [9], [9, 9, 9], [8, 8, 8], [10, 10]]
[[1, 8, 8, 8], [9, 9], [8, 10], [], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6, 6], [6, 6, 9], [8, 8, 8], [3, 10, 10], [7, 7, 7], [10, 10], [8, 8, 8], [10, 10], [10, 10]]
[[1, 3, 9, 9], [8, 8, 8], [10, 10], [10, 10], [9, 9], [], [7, 7, 7], [], [8, 8, 8], [8, 8, 8], [7, 7, 7], [6, 6, 8], [9, 10], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6]]
[[1, 3, 9], [8, 8, 8], [9], [6, 6, 6, 6], [10, 10], [8], [10, 10], [9], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [10, 10], [6, 6, 9], [7, 7, 7], [9, 10], [9], [9]]
[[6, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [6, 6, 6], [9, 9], [7, 7, 7], [1, 8, 8], [6, 8, 8], [6, 8, 8], [9], [9, 9], [10, 10], [10], [3], [8, 8], []]
[[1, 3, 8, 8], [10, 10], [], [10, 10], [9, 9], [10, 10], [9, 9], [], [8, 8], [8, 8], [8, 8], [9], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [10], [6, 6, 6]]
[[1, 6, 6, 7], [9, 9], [], [10, 10], [7, 7], [], [10, 10], [9], [8, 8], [3, 8, 8], [8, 8], [9, 9], [6, 10], [6, 7, 7], [6, 7], [6], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9]]
[[1, 8, 8], [7, 7], [10, 10], [7, 8], [9], [10, 10], [10], [6, 10], [3, 8, 8], [8, 8], [7, 10], [10, 10], [8, 8], [6, 6, 8], [6, 6, 6], [9, 9], [], [], [7, 7], [], [9, 9], [9, 9]]
[[1, 3, 6], [9], [6, 10], [9, 9], [7, 7], [10], [6, 10], [6, 10], [8, 8], [8, 8], [8, 8], [6, 10], [6, 10], [7, 7], [10], [7, 7], [10], [8, 8], [10], [9, 9], [9, 9], [8, 8], []]
[[1, 8, 8], [], [10], [10], [10], [10], [7, 10], [6, 6, 6], [9, 9], [3, 7, 7], [8, 10], [6, 6, 6], [], [8, 10], [], [7, 9], [9, 9], [10], [8, 8], [8, 8], [9, 9], [7, 7], [10], [8, 8]]
[[1, 8, 8], [6, 9], [10], [10], [6, 6], [9], [7, 7], [6, 9], [10], [8, 8], [6, 10], [3, 9], [8, 8], [9], [8, 8], [9], [7, 7], [7, 7], [9], [6, 10], [10], [8, 8], [10], [10], [10]]
[[1, 8, 8], [], [8, 9], [7, 10], [6, 10], [7, 9], [10], [6, 6], [3, 10], [8, 8], [8, 8], [6, 6], [10], [7, 7], [10], [9], [8, 8], [9], [7, 7], [8, 9], [], [10], [9], [10], [9], [6, 10]]
[[1, 10], [8, 8], [10], [10], [10], [9], [9], [9], [8, 8], [6, 6], [9], [8, 8], [8, 8], [8, 8], [10], [7, 7], [10], [7, 7], [10], [], [10], [3, 6, 6], [10], [7, 7], [6, 9], [9], [6, 9]]
[[8, 8], [], [10], [9], [7], [10], [6, 10], [8, 8], [6, 10], [8, 8], [1, 3, 6, 6], [9], [10], [10], [6, 6], [8, 8], [7, 7], [10], [], [7, 9], [9], [10], [10], [8, 8], [9], [7, 7], [9], [9]]
[[1, 3, 9], [6, 8], [10], [10], [9], [10], [8], [10], [6, 8], [10], [6, 8], [10], [6, 8], [7, 7], [9], [6, 8], [8], [8], [10], [9], [8], [10], [9], [7, 7], [10], [9], [9], [6, 8], [7, 7]]
[[1, 9], [10], [3, 10], [8], [10], [9], [9], [6, 8], [9], [8], [8], [6, 8], [6, 8], [6, 6], [6, 8], [8], [7, 7], [10], [7, 7], [9], [10], [9], [8], [10], [10], [8], [7, 7], [9], [10], [10]]
[[1, 10], [8], [10], [7, 7], [8], [6, 8], [9], [10], [9], [8], [9], [7, 7], [8], [6, 6], [10], [6, 6], [8], [10], [9], [10], [7, 7], [9], [8], [3, 8], [8], [10], [9], [10], [10], [9], [6, 8]]
[[6, 7], [10], [10], [9], [10], [8], [10], [8], [3, 8], [9], [6, 7], [6, 7], [10], [6, 7], [1, 9], [6, 7], [8], [6, 7], [8], [10], [9], [8], [10], [8], [8], [8], [8], [9], [10], [9], [9], [10]]
[[1, 9], [6, 7], [10], [10], [7], [8], [6, 6], [3, 10], [8], [10], [9], [9], [6, 7], [8], [6, 7], [8], [8], [9], [8], [8], [9], [10], [8], [7], [9], [10], [10], [8], [9], [10], [10], [8], [6, 7]]
[[1, 10], [9], [6, 7], [8], [8], [8], [9], [10], [6, 7], [6, 6], [7], [10], [10], [8], [10], [8], [3, 10], [8], [6, 7], [6, 7], [8], [9], [9], [10], [7], [], [8], [9], [8], [10], [9], [10], [9], [8]]
[[1, 7], [6, 6], [10], [10], [6, 6], [10], [10], [9], [8], [6, 6], [9], [9], [8], [9], [7], [7], [10], [7], [9], [8], [10], [9], [8], [10], [8], [3, 9], [7], [8], [8], [8], [8], [10], [7], [8], [10]]
[[1, 8], [8], [7], [7], [7], [9], [9], [8], [6, 6], [10], [10], [8], [8], [8], [8], [6, 6], [6, 6], [10], [10], [10], [10], [9], [8], [], [7], [9], [10], [7], [7], [10], [9], [9], [10], [9], [3, 8], [8]]
[[1, 3, 8], [10], [10], [9], [10], [8], [10], [7], [10], [7], [6, 6], [7], [8], [9], [8], [10], [8], [9], [10], [8], [7], [7], [10], [6], [9], [10], [8], [7], [8], [6, 6], [8], [9], [], [9], [9], [6], [8]]
[[1, 9], [8], [8], [10], [10], [10], [8], [], [8], [], [8], [8], [6, 6], [10], [8], [7], [], [9], [7], [10], [7], [7], [9], [7], [9], [9], [10], [8], [7], [9], [6, 6], [10], [8], [10], [10], [6, 6], [3, 9], [8]]
[[1], [8], [8], [8], [8], [9], [6], [10], [7], [8], [7], [10], [10], [10], [10], [10], [6, 6], [9], [10], [7], [10], [8], [6, 6], [7], [8], [10], [9], [9], [9], [6], [9], [8], [7], [9], [7], [8], [], [8], [3]]
[[1, 9], [10], [8], [8], [8], [9], [10], [10], [6], [9], [6], [8], [6], [8], [6], [7], [9], [8], [7], [10], [10], [8], [8], [8], [9], [6], [7], [6], [9], [10], [9], [3], [7], [7], [8], [], [10], [10], [10], [7]]
-EndAllocation

Instance: [[1], [314], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 10], [9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 10, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[4, 6, 6, 6, 6, 6, 7, 7, 7, 10], [7, 9, 9, 9, 9, 9, 9, 9], [7, 7, 8, 8], [5, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [10]]
[[10, 10, 10, 10, 10, 10], [8, 8, 8, 10, 10, 10], [4, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [9]]
[[8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [5, 9, 9], [6, 6, 10, 10, 10, 10], [4, 9, 9, 9, 9, 9], [6, 6, 6, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [5, 10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6], [9, 9], [7, 7, 7, 7, 7, 10], [4, 10, 10, 10, 10], [8], [6, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 10], [], [5], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10], [4, 7, 10, 10, 10]]
[[8, 10, 10, 10], [6, 6, 6, 6, 6, 8], [9, 9, 9], [5], [7, 7, 7, 7, 7], [8, 8, 8, 8], [7, 10, 10, 10], [4], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9]]
[[6, 6, 6, 6, 10], [4], [8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8], [9, 9, 9], [8, 8, 10, 10], [5, 8, 8], [6, 7, 8, 8], [10, 10, 10], [10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [4, 9, 9, 9], [7, 7, 7, 7], [], [7, 7, 9], [8, 8], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [5], [10, 10, 10]]
[[5, 8, 8, 9], [8, 8, 9], [7, 7, 7, 7], [9], [10, 10, 10], [7, 7, 9], [9], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [4, 9], [10, 10, 10], [9], [10, 10, 10]]
[[8, 8, 8], [5, 10, 10], [6, 6, 6, 6], [9, 9, 9], [], [10, 10], [7, 7, 7, 7], [10, 10], [10, 10], [8, 8, 9], [7, 7, 8], [6, 8], [9, 9, 9], [8, 8, 8], [4, 10]]
[[8, 8, 8], [8], [10, 10], [], [5, 7, 7, 7], [9, 9], [6, 9, 9], [6, 6, 6, 6], [9, 10], [8, 8, 8], [10, 10], [4, 7, 7, 7], [10, 10], [8, 8, 8], [10, 10], [9, 9]]
[[8, 9], [8, 8, 8], [10, 10], [10], [4, 9, 9], [6], [7, 7], [5, 10, 10], [8, 8, 8], [8, 8, 8], [7, 7, 7], [7, 9, 9], [], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6]]
[[9, 9], [8, 8, 8], [], [6, 6, 6, 6], [4, 10, 10], [9, 9], [10, 10], [6, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [10, 10], [5, 8, 9], [7, 7, 7], [], [], [10]]
[[5, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [6, 6, 6], [4, 9, 9], [8, 10], [6, 8, 8], [6, 8, 8], [8, 9], [], [9, 9], [10, 10], [], [7, 7, 7], [8, 8], []]
[[4, 8, 8], [10, 10], [], [10, 10], [9, 9], [], [9], [8, 10], [6, 6, 8], [5, 8, 8], [8, 8], [9, 9], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [], [10, 10]]
[[8, 8], [9, 9], [9], [10, 10], [6, 7, 7], [10], [10, 10], [4], [8, 8], [8, 8], [8, 8], [9, 9], [6, 6, 6], [7, 7], [6], [5], [8, 8], [10, 10], [7, 7], [10, 10], [9, 9]]
[[8, 8], [5, 7, 7], [], [7, 7], [9, 9], [10, 10], [10], [10, 10], [8, 8], [8, 8], [8, 8], [10, 10], [8, 9], [10, 10], [6, 6, 6], [4, 6, 6], [8], [], [7, 7], [], [9, 9], [9, 9]]
[[6, 6, 6], [9, 9], [10], [9, 9], [7, 7], [10], [10], [8, 10], [8], [6, 6], [7, 8], [8, 10], [4, 9], [7, 8], [8, 10], [7, 7], [8], [8], [8, 10], [10], [9, 9], [8], [5, 10]]
[[8, 8], [], [10], [10], [9, 9], [6, 6], [8, 10], [6, 6, 6], [8, 8], [7], [7, 9], [8, 10], [5, 10], [10], [], [7, 7], [9, 9], [10], [8, 8], [8, 8], [9, 9], [7, 7], [4, 10], [10]]
[[10], [], [7, 10], [10], [6, 10], [9], [4, 10], [6, 9], [8, 8], [8, 8], [9], [10], [5, 6, 6], [8, 9], [8, 8], [8, 9], [7, 7], [7, 7], [6], [9], [10], [8, 8], [9], [10], [7, 10]]
[[8, 8], [10], [9], [7, 7], [6, 10], [9], [10], [6, 9], [8, 8], [8, 8], [8, 8], [5, 6, 6], [10], [7, 7], [10], [9], [8, 8], [], [7, 9], [10], [4], [7, 10], [9], [10], [9], [6, 10]]
[[8, 8], [8, 8], [5, 10], [9], [10], [9], [9], [9], [8, 8], [6, 6], [10], [10], [7, 9], [8, 8], [6, 10], [7, 7], [10], [7], [8, 8], [], [9], [10], [10], [7, 7], [9], [10], [4, 6, 6]]
[[8, 8], [4], [10], [10], [7, 9], [9], [9], [10], [6, 10], [8, 8], [6, 6], [9], [9], [10], [6, 6], [8, 8], [7, 7], [10], [], [7, 9], [8, 8], [10], [8, 8], [5, 10], [], [7, 7], [9], [10]]
[[4, 9], [9], [10], [10], [10], [10], [8], [6, 8], [6, 8], [10], [10], [10], [9], [5, 8], [6, 8], [10], [8], [6, 8], [6, 8], [9], [9], [7, 7], [8], [7, 7], [10], [9], [8], [9], [7, 7]]
[[6, 8], [4, 8], [10], [8], [10], [8], [7, 7], [8], [5, 8], [9], [9], [10], [9], [6, 6], [6, 8], [8], [9], [9], [9], [10], [10], [10], [10], [8], [7, 7], [10], [10], [9], [6, 8], [7, 7]]
[[9], [8], [8], [7, 7], [10], [8], [8], [9], [8], [9], [9], [5, 8], [6, 8], [6, 6], [10], [6, 6], [10], [10], [9], [10], [9], [7, 7], [8], [10], [8], [4, 10], [7, 7], [8], [10], [9], [10]]
[[8], [10], [10], [10], [9], [10], [10], [9], [5, 8], [8], [6, 7], [8], [9], [9], [9], [6, 7], [6, 7], [8], [6, 7], [10], [4, 8], [8], [8], [10], [6, 7], [8], [7], [8], [10], [9], [10], [9]]
[[5, 7], [6, 7], [6, 7], [8], [8], [8], [6, 7], [10], [8], [10], [9], [9], [10], [4, 7], [7], [8], [9], [9], [10], [8], [6, 6], [10], [8], [10], [9], [10], [10], [9], [10], [9], [8], [8], [8]]
[[6, 7], [], [8], [8], [8], [5, 8], [9], [6, 7], [4, 9], [10], [10], [10], [6, 7], [10], [8], [7], [10], [8], [10], [9], [8], [8], [6, 6], [10], [7], [8], [7], [10], [9], [9], [9], [10], [9], [8]]
[[9], [4, 8], [10], [8], [6], [8], [8], [7], [7], [8], [9], [9], [10], [9], [8], [7], [6, 6], [10], [7], [8], [6, 6], [10], [10], [9], [10], [9], [10], [10], [8], [5, 7], [9], [8], [7], [10], [8]]
[[10], [4, 8], [9], [8], [9], [5, 7], [9], [9], [10], [8], [8], [9], [8], [6], [9], [10], [8], [7], [8], [6, 6], [10], [7], [10], [10], [7], [8], [7], [10], [8], [10], [6, 6], [10], [7], [9], [8], []]
[[8], [7], [8], [8], [8], [9], [4, 8], [10], [9], [10], [7], [10], [8], [7], [], [10], [7], [8], [6, 6], [10], [6], [9], [8], [10], [], [8], [10], [10], [10], [7], [9], [9], [9], [5, 7], [9], [6, 6], [8]]
[[9], [8], [10], [8], [10], [10], [8], [8], [6], [8], [4, 8], [8], [5, 7], [10], [8], [7], [], [9], [7], [8], [], [], [9], [8], [9], [10], [10], [7], [6, 6], [9], [6, 6], [10], [7], [10], [7], [9], [9], [10]]
[[8], [5, 7], [8], [8], [8], [8], [10], [9], [], [8], [], [6], [7], [7], [], [10], [10], [9], [7], [6, 6], [8], [6, 6], [8], [10], [7], [], [7], [10], [10], [9], [10], [9], [9], [9], [8], [9], [10], [10], [4, 8]]
[[7], [8], [8], [8], [8], [8], [6], [10], [7], [9], [6], [7], [8], [10], [10], [8], [], [7], [9], [8], [10], [5], [10], [6], [], [7], [9], [7], [9], [9], [10], [4, 6], [10], [9], [8], [9], [10], [6], [10], [8]]
-EndAllocation

Instance: [[1], [313], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,40. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,40:
-StartAllocation
[[4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 7], [6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9, 9]]
[[4, 10, 10, 10, 10, 10], [8, 8, 8, 9, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 10]]
[[4, 8, 8, 8, 8, 8, 8], [9, 9, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5], [], [10, 10, 10, 10, 10], [8, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [6, 6, 6, 6], [9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9], [9, 9, 9, 9], [], [5, 5, 5, 5], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 8], [10, 10, 10, 10]]
[[4, 8, 10, 10], [6, 6, 6, 6, 8], [9, 9, 9, 9], [5, 5, 5, 5], [7, 7, 7, 7, 7], [8, 8, 8, 8], [7, 10, 10], [10], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9]]
[[4, 6, 6, 6, 6], [10, 10], [], [5, 5, 5, 5, 7], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8, 8, 8, 8], [8, 8], [10, 10, 10], [10, 10, 10]]
[[4, 8, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [], [7, 7, 9, 9], [8, 8], [8, 9, 9], [6, 6, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 6, 6], [], [10, 10, 10]]
[[4, 9, 10], [8, 8, 8], [7, 7, 7, 7], [], [5, 5, 5, 5, 10], [7, 7], [8], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [9, 9, 9], [10, 10, 10], [9, 9, 9], [10, 10, 10]]
[[4, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6], [9, 9, 9], [10], [], [7, 7, 7, 7], [10, 10], [9, 10], [8, 8, 8], [7, 7, 8], [8, 8, 8], [9, 9, 9], [10, 10], [10, 10]]
[[4, 8, 8], [9, 9], [8, 8, 8], [10], [7, 7, 7], [10, 10], [9, 9], [6, 6, 6, 6], [8, 9], [8, 8, 8], [8, 10], [7, 7, 7], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9]]
[[4, 9, 9], [8, 8, 8], [10, 10], [10, 10], [9, 9], [], [5, 5, 5, 5], [8], [8, 8, 8], [8, 8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [10, 10], [9], [10, 10], [6, 6, 6, 6]]
[[4, 9, 9], [8, 8, 8], [], [6, 6, 6, 6], [10, 10], [9], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [10, 10], [9, 9], [7, 7, 7], [8], [5, 5, 5, 5], []]
[[4, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [6, 6, 6], [9, 9], [8, 8], [8, 8], [8, 8], [9, 9], [], [9], [10, 10], [5, 5, 5, 5], [], [6, 8, 8], [7, 7, 7]]
[[4, 8, 8], [10, 10], [], [10, 10], [6, 8], [], [9, 9], [9, 9], [8, 8], [5, 5, 5, 5], [8, 8], [8, 9], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [10, 10], [], [10, 10]]
[[4, 7, 7], [9], [], [10, 10], [7, 7], [5, 5, 5, 5], [10, 10], [9, 9], [8, 8], [8, 8], [8, 8], [9, 9], [6, 6, 6], [7, 7], [6], [], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9]]
[[4, 8, 8], [7, 7], [5, 5], [7, 7], [9], [10, 10], [10, 10], [5, 5, 6], [8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [10, 10], [6, 6, 6], [9, 9], [], [], [7, 7], [], [9, 9], [9, 9]]
[[4, 6, 8], [9], [5, 10], [9, 9], [7, 7], [10], [6, 6, 6], [8, 10], [8, 8], [8, 8], [8, 8], [9, 9], [10], [7, 7], [10], [7, 7], [10], [8, 8], [10], [], [9, 9], [10], [5, 5, 5]]
[[4, 8], [], [10], [10], [10], [10], [6, 8], [6, 6, 6], [8, 8], [7, 7], [8, 8], [9, 9], [5, 5, 5], [10], [5, 9], [7, 7], [7, 7], [10], [8, 8], [8, 8], [9, 9], [10], [9, 9], [10]]
[[4, 8], [9], [10], [8, 9], [6, 6], [10], [6, 10], [10], [7, 10], [8, 8], [6, 9], [10], [8, 8], [9], [8, 8], [9], [7, 7], [7, 7], [5, 5, 5], [], [9], [8, 8], [9], [5, 10], [7, 10]]
[[4, 8], [], [10], [7, 10], [6, 10], [5, 5, 5], [5, 9], [7, 9], [8, 8], [8, 8], [8, 8], [6, 6], [9], [7, 7], [], [9], [8, 8], [9], [7, 9], [9], [8], [10], [7, 10], [10], [10], [6, 10]]
[[4, 9], [], [9], [9], [10], [9], [10], [10], [8, 8], [6, 6], [9], [8, 8], [8, 8], [8, 8], [5, 5, 5], [7, 7], [6, 10], [7, 7], [], [7, 7], [5, 10], [9], [10], [8, 8], [10], [10], [6, 9]]
[[4, 8], [], [5, 9], [10], [7, 9], [9], [8], [8, 8], [8, 8], [8, 8], [6, 6], [7, 9], [5, 5, 5], [10], [6, 6], [8, 8], [7, 7], [10], [], [7, 9], [9], [10], [10], [10], [], [7, 9], [10], [10]]
[[4, 9], [10], [8], [8], [10], [7, 7], [10], [10], [5, 8], [6, 6], [6, 8], [9], [8], [9], [5, 8], [6, 8], [5, 8], [10], [10], [5, 8], [9], [10], [9], [7, 7], [9], [10], [8], [9], [7, 7]]
[[4, 9], [8], [10], [6, 8], [10], [5, 5], [7, 7], [7, 7], [5, 8], [9], [8], [10], [10], [6, 6], [8], [9], [8], [6, 8], [10], [10], [10], [5, 8], [8], [7, 7], [9], [9], [10], [9], [8], [9]]
[[4, 10], [8], [8], [7, 7], [7, 7], [8], [9], [10], [5, 9], [6, 6], [8], [5, 8], [9], [6], [10], [8], [8], [10], [9], [10], [5, 6], [9], [9], [8], [10], [8], [5, 9], [8], [7, 7], [10], [10]]
[[10], [10], [10], [9], [8], [8], [8], [9], [7], [10], [10], [8], [6, 7], [6, 7], [4, 9], [7], [8], [5, 8], [10], [10], [8], [5, 8], [5, 6], [5, 8], [8], [9], [7], [9], [10], [6, 7], [9], [9]]
[[4, 9], [8], [7], [10], [7], [5, 8], [6, 6], [5, 7], [10], [9], [9], [10], [7], [10], [7], [10], [10], [10], [8], [6, 6], [8], [8], [8], [5, 8], [10], [8], [9], [8], [7], [9], [5, 8], [9], [9]]
[[4, 7], [10], [9], [7], [8], [5, 8], [8], [7], [7], [6, 6], [10], [9], [9], [9], [10], [10], [8], [10], [5, 5], [8], [9], [10], [6, 6], [9], [10], [10], [8], [8], [8], [5, 8], [8], [9], [7], [7]]
[[4, 8], [8], [7], [8], [9], [7], [8], [9], [8], [10], [9], [6, 6], [8], [9], [10], [7], [8], [8], [10], [8], [9], [10], [7], [10], [7], [5, 5], [10], [5, 5], [9], [10], [6, 6], [8], [9], [10], [7]]
[[4, 8], [7], [8], [8], [8], [9], [9], [8], [6, 6], [10], [10], [8], [10], [9], [8], [9], [6, 6], [10], [], [10], [10], [9], [8], [], [5, 7], [5, 7], [5, 5], [7], [8], [9], [7], [9], [10], [7], [10], [8]]
[[6, 6], [8], [8], [4, 8], [8], [9], [10], [10], [8], [8], [8], [], [9], [8], [9], [5, 5], [10], [9], [7], [], [10], [9], [8], [10], [9], [], [5, 7], [7], [7], [10], [9], [7], [10], [10], [8], [6, 6], [5, 7]]
[[9], [8], [8], [7], [4, 7], [10], [8], [6, 6], [8], [10], [8], [8], [5, 5], [10], [8], [7], [], [9], [], [10], [7], [], [7], [5, 7], [9], [9], [10], [8], [6, 6], [9], [5], [8], [10], [10], [10], [9], [9], [8]]
[[4, 7], [7], [8], [8], [8], [8], [8], [], [], [10], [], [8], [5, 5], [10], [9], [10], [10], [9], [10], [7], [8], [6, 6], [8], [6, 6], [10], [10], [], [], [8], [9], [5, 7], [9], [9], [9], [7], [9], [10], [5, 7], [8]]
[[7], [8], [8], [8], [9], [8], [], [6], [], [], [8], [7], [6], [8], [9], [8], [6], [10], [7], [9], [10], [10], [8], [10], [10], [10], [7], [5, 5], [10], [9], [7], [9], [9], [7], [9], [8], [4, 6], [10], [5, 5], [8]]
-EndAllocation

Instance: [[1], [328], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [218, 146, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [164, 110, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 4, 5, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [5, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 6], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 4, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 9]]
[[10, 10, 10, 10, 10, 10], [3, 4, 9, 9], [7, 7, 7, 7, 7, 9, 9], [8, 8, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 9], [9, 9], [5, 6, 6, 6, 6, 6, 6, 9, 9]]
[[3, 4], [10, 10, 10, 10, 10], [8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 7, 9], [6, 6, 6, 6, 6, 6, 9, 9]]
[[3, 4, 5, 8, 8], [9, 9, 9, 9, 10], [6, 6, 6, 6, 6, 6, 10], [7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [], [10, 10, 10, 10]]
[[3, 4, 5, 9, 9, 9], [9, 9, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7, 7], [], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 9]]
[[3, 4, 6, 6, 6, 6, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [], [10, 10, 10], [], [9, 9, 9, 9], [6, 10, 10, 10], [5, 6, 8, 8, 8], [7, 7, 7, 7, 7]]
[[3, 4, 5, 7, 7, 9], [], [9, 9, 9, 9], [8, 8, 8, 8], [], [10, 10, 10], [8, 8, 8, 8], [7, 7, 10], [9, 9, 9, 9], [7, 10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[3, 4, 5, 6, 9], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 10], [10, 10, 10], [8, 8, 8, 8], [7, 9, 9, 9], [10, 10, 10], []]
[[3, 4, 5, 9, 9], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [], [10, 10, 10], [6, 7, 9, 9], [9, 10], [9, 9], [7, 7, 7, 7], [9, 9], []]
[[3, 4, 5, 6, 9], [9], [9, 10, 10], [7, 10, 10], [6, 6, 6, 6], [10, 10], [8, 8, 8], [6, 10, 10], [8, 8], [8, 8, 8], [9, 9, 10], [9], [9, 9, 10], [9], [7, 7, 7, 7]]
[[3, 4, 5, 10], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [10, 10], [9, 9, 9], [9, 9, 9], [6, 6, 7], [8, 8, 8], [10, 10], [10, 10], [8, 8, 10], [], [6, 6, 6, 6], [], [10, 10]]
[[8, 8, 8], [8, 8], [10, 10], [10, 10], [], [9, 9], [10, 10], [6, 9, 9], [8, 8, 8], [3, 4, 10], [5, 6, 9], [7, 7, 7], [9, 10], [9, 9], [6, 6, 6, 6], [10, 10], [7, 7, 9]]
[[8, 8, 8], [], [10, 10], [10, 10], [6, 6, 6, 6], [5, 10, 10], [10, 10], [7, 7, 9], [8, 8, 8], [3, 4, 6, 6], [10, 10], [7, 9, 9], [9, 9], [7, 7, 9], [9, 9], [9], [8, 8], []]
[[3, 4, 6, 10], [9, 9], [10, 10], [10, 10], [], [8, 8, 8], [9, 9], [9, 9], [9, 10], [8, 8, 8], [7, 7, 7], [6], [9, 9], [10, 10], [5, 8, 8], [7, 7], [], [10, 10], [6, 6, 6, 6]]
[[3, 4, 6, 6], [9, 9], [10, 10], [9, 9], [], [7, 7], [9, 9], [10, 10], [6, 6, 9], [5, 8, 8], [8, 8], [8, 8], [8, 8], [6, 6], [10, 10], [9, 9], [10, 10], [10, 10], [7, 7, 7], []]
[[3, 4, 5, 9], [], [9, 9], [9, 10], [6, 6, 6], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8], [8, 8], [10, 10], [7, 7, 7], [9, 10], [], [10, 10], [8, 8], [9, 10], [9, 10], [], [7, 7]]
[[3, 4, 9], [6, 6, 7], [9, 9], [9, 9], [8, 8], [9, 9], [7, 7], [10, 10], [8, 8], [8, 8], [6, 8], [5], [8], [7, 7], [10, 10], [10, 10], [], [], [9, 9], [6, 6, 6], [10, 10], [10, 10]]
[[3, 4, 6], [], [10, 10], [8, 8], [9, 9], [8, 8], [9, 10], [6, 6, 6], [8, 8], [5, 7, 7], [9, 9], [10, 10], [9, 9], [], [], [6, 6, 7], [7, 7], [9, 9], [], [10, 10], [8, 8], [10], [10, 10]]
[[8, 8], [6, 6, 6], [10], [10], [9, 9], [8, 8], [10], [9], [8, 8], [8, 8], [3, 4, 5], [7, 10], [], [6, 6, 6], [7, 10], [7, 10], [9, 9], [7, 7], [10], [9, 9], [10], [10], [9, 9], [10]]
[[8, 8], [10], [7, 7], [9], [8, 10], [], [7, 7], [8, 8], [8, 10], [3, 4, 10], [6, 10], [5, 10], [6, 6, 6], [9], [7, 9], [10], [9], [9], [9, 9], [9, 9], [10], [8, 10], [], [6, 6], [8, 10]]
[[3, 4, 10], [], [10], [10], [7, 7], [9], [8, 8], [10], [8, 8], [6, 8], [8, 8], [5, 10], [6, 9], [9], [9], [7, 9], [10], [6, 6], [10], [6, 10], [7, 9], [8, 9], [9], [10], [7, 10], [6, 9]]
[[8, 8], [7, 9], [6, 10], [9], [10], [10], [10], [10], [], [8, 8], [3, 4, 9], [6, 10], [7, 7], [5, 9], [6, 10], [6, 6], [8, 8], [10], [9], [9], [10], [6, 10], [9], [7, 7], [9], [9], [8, 8]]
[[3, 4, 9], [9], [9], [7, 7], [9], [7, 7], [8, 8], [7, 9], [6, 9], [5, 9], [6, 10], [8, 8], [9], [10], [9], [10], [6, 6], [10], [10], [6, 6], [], [10], [10], [8, 8], [8, 8], [10], [10], [10]]
[[3, 4, 9], [10], [8], [7, 7], [10], [10], [6, 9], [8, 8], [6, 10], [5, 9], [6, 9], [6, 10], [7, 9], [], [6], [8, 8], [8, 8], [7, 9], [10], [9], [], [7, 9], [9], [6, 10], [8], [], [10], [10], [10]]
[[3, 9], [5, 7], [4, 10], [6, 8], [6, 8], [9], [6, 8], [10], [9], [10], [10], [10], [6, 8], [9], [9], [10], [6, 8], [8], [9], [9], [9], [9], [10], [6, 8], [10], [8], [10], [10], [7, 7], [7, 7]]
[[6, 8], [3, 8], [4, 8], [6, 8], [6, 8], [7, 7], [9], [10], [9], [6, 7], [9], [10], [9], [7], [10], [10], [9], [10], [10], [10], [10], [9], [9], [8], [7], [6, 8], [6, 8], [10], [5, 9], [10], [9]]
[[3, 4], [5, 9], [9], [10], [10], [9], [8], [10], [6, 8], [10], [10], [6, 8], [9], [10], [10], [10], [9], [7], [9], [9], [7, 7], [6, 8], [6, 8], [6, 8], [6, 7], [7], [9], [8], [10], [8], [10], [9]]
[[3, 10], [5, 8], [10], [4, 6], [9], [9], [10], [6, 7], [9], [10], [8], [8], [9], [6, 7], [9], [8], [8], [8], [9], [8], [8], [10], [9], [10], [10], [6, 7], [10], [9], [6, 7], [6, 7], [9], [10], [10]]
[[8], [8], [4, 8], [6, 7], [5, 8], [9], [9], [8], [10], [9], [10], [9], [10], [10], [10], [8], [9], [10], [6, 7], [8], [10], [9], [10], [10], [6], [9], [10], [7], [9], [6, 7], [8], [9], [6, 6], [3, 7]]
[[3, 8], [6, 6], [10], [9], [4, 8], [5, 8], [9], [8], [8], [7], [7], [8], [9], [9], [9], [6, 7], [10], [9], [10], [9], [10], [10], [6], [10], [7], [10], [9], [10], [10], [9], [6, 7], [8], [10], [6], [8]]
[[8], [4, 8], [6, 7], [6], [10], [9], [8], [9], [7], [9], [9], [9], [10], [9], [10], [9], [9], [10], [6, 6], [10], [10], [7], [10], [10], [6, 6], [8], [8], [8], [], [10], [9], [7], [8], [10], [5, 8], [3, 7]]
[[3, 8], [9], [5], [6, 6], [9], [8], [8], [8], [10], [6, 6], [9], [9], [10], [9], [8], [10], [7], [6, 6], [8], [10], [8], [9], [10], [], [9], [10], [9], [10], [7], [10], [10], [10], [9], [7], [7], [7], [4, 8]]
[[3, 8], [5, 7], [8], [6, 6], [9], [10], [9], [10], [6, 6], [7], [10], [9], [6, 6], [], [10], [10], [9], [], [8], [10], [], [7], [7], [10], [8], [10], [9], [8], [9], [10], [9], [10], [9], [8], [7], [8], [9], [4, 8]]
[[3, 7], [8], [9], [8], [8], [9], [6, 6], [9], [9], [10], [9], [10], [9], [7], [10], [10], [7], [10], [9], [10], [8], [7], [8], [], [6, 6], [], [8], [7], [10], [10], [6, 6], [9], [8], [], [10], [10], [9], [8], [4, 5]]
[[3, 6], [9], [6], [8], [7], [8], [8], [8], [10], [10], [10], [8], [6, 6], [6, 6], [10], [8], [9], [10], [], [10], [8], [10], [9], [9], [], [10], [9], [], [9], [7], [7], [9], [8], [10], [7], [9], [9], [7], [10], [4, 5]]
[[], [3, 5], [4, 6], [9], [7], [9], [10], [10], [9], [10], [10], [6], [10], [8], [10], [8], [10], [10], [6], [10], [8], [8], [8], [6], [8], [8], [7], [9], [9], [6], [9], [7], [9], [9], [7], [9], [], [8], [6], [10], [7]]
-EndAllocation

Instance: [[1], [327], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [218, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [164, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7], [7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10], [5, 5, 5, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8], [10], [6, 6, 6, 6, 6, 6, 9, 9]]
[[], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [9, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [5, 5, 5, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9], [8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [5, 5, 5, 7, 7, 7, 7], [], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6], [5, 5, 5, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [], [9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7]]
[[7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10]]
[[8, 8, 8, 8], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 10], [5, 5, 5, 10], [8, 8, 8, 8], [6, 9, 9, 9], [10, 10, 10], []]
[[9, 9, 9], [10, 10, 10], [5, 5, 5], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10], [], [10, 10, 10], [6], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [9, 9], [8, 8, 8, 8]]
[[8, 8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [8], [5, 5, 5, 8], [8, 9, 9], [8, 8, 8], [8, 8, 8], [6, 10, 10], [9, 9, 9], [9, 9, 9], [6], [7, 7, 7, 7]]
[[8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [], [9, 9, 9], [9, 9], [10, 10], [8, 8, 8], [6, 10, 10], [5, 5, 5, 6], [8, 8, 8], [10, 10], [6, 6, 6, 6], [], [10, 10]]
[[8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [6, 10, 10], [], [5, 5, 5], [6, 9, 9], [8, 8, 8], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6, 6], [8, 8, 8], [7]]
[[8, 8, 8], [], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [5, 5, 5, 9], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [7, 7, 7], [9, 9], [7], [6, 6, 9], []]
[[8, 8, 8], [9, 9], [10, 10], [5, 5, 5], [], [8, 8, 8], [9, 9], [6, 9, 9], [10, 10], [8, 8, 8], [7], [], [6, 9, 9], [10, 10], [8, 8, 8], [7, 7, 7], [], [10, 10], [6, 6, 6, 6]]
[[8, 8], [9, 9], [10], [9, 9], [5, 5, 5], [7, 9], [6, 6, 6], [9, 10], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [6, 6, 6], [10, 10], [9, 9], [10, 10], [10, 10], [7, 7, 7], []]
[[8, 8], [], [9, 9], [10, 10], [6, 6, 6], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [10, 10], [7, 7, 7], [8, 8], [9, 9], [9, 9], [5, 5, 5], [], [7]]
[[8, 8], [7, 7], [9, 9], [9, 9], [8, 8], [9, 9], [10, 10], [10, 10], [8, 8], [8, 8], [8, 8], [5, 5, 5], [8, 8], [7, 7], [10, 10], [], [], [], [9, 9], [6, 6, 6], [6, 6, 6], [10, 10]]
[[7, 7], [], [10, 10], [8, 8], [9, 9], [8, 8], [], [6, 6, 6], [8, 8], [8, 8], [9, 9], [10, 10], [9, 9], [], [5, 5, 5], [7, 7], [8, 8], [9, 9], [8, 8], [10, 10], [], [6, 6, 6], [10, 10]]
[[8, 8], [9, 9], [10], [8, 8], [9, 9], [7, 7], [8, 10], [10], [8, 8], [8, 8], [6, 6, 6], [10], [10], [8, 8], [], [], [8, 10], [7, 7], [10], [9, 9], [5, 5, 5], [10], [9, 9], [6, 6, 6]]
[[8, 8], [10], [5, 5, 5], [9, 9], [8, 8], [10], [7, 10], [7, 10], [8, 8], [], [10], [], [6, 6, 6], [9, 9], [10], [7, 7], [], [8, 8], [9, 9], [10], [10], [8, 8], [9, 9], [6, 6, 6], [8, 8]]
[[8, 8], [6, 9], [8, 9], [10], [9], [8, 8], [7, 7], [6, 10], [8, 8], [8, 8], [6, 6], [9], [9], [5, 5, 5], [9], [10], [9], [8, 8], [7, 10], [10], [10], [10], [8], [9], [7, 10], [6, 6]]
[[9], [7, 7], [10], [10], [8, 8], [10], [9], [6, 9], [8, 9], [8, 8], [6, 10], [6, 6], [7, 7], [10], [9], [], [8, 8], [9], [8, 8], [5, 5, 5], [10], [6, 6], [10], [8, 8], [9], [10], [8, 9]]
[[8, 8], [9], [9], [7, 7], [10], [7, 7], [8, 8], [9], [8, 8], [10], [10], [8, 8], [9], [9], [5, 5, 5], [9], [9], [9], [8, 8], [6, 6], [10], [10], [10], [8, 8], [10], [6, 6], [6, 6], [10]]
[[6, 10], [6, 9], [8, 8], [7, 7], [10], [10], [9], [9], [8, 8], [8, 8], [8, 8], [6, 6], [7, 7], [10], [10], [9], [10], [10], [], [9], [10], [8, 8], [5, 5, 5], [6, 6], [8, 8], [9], [9], [9], []]
[[7, 7], [6, 8], [6, 8], [8], [10], [9], [9], [10], [9], [10], [10], [9], [9], [8], [9], [10], [8], [6, 8], [10], [7, 7], [10], [10], [8], [9], [6, 8], [5, 8], [5, 8], [5, 9], [6, 8], [6, 8]]
[[6, 8], [9], [8], [10], [10], [6, 7], [5, 9], [10], [9], [10], [9], [10], [7, 7], [8], [9], [9], [10], [6, 7], [10], [8], [8], [8], [10], [8], [5, 8], [9], [8], [6, 8], [6, 8], [5, 9], [6, 8]]
[[6, 8], [10], [8], [8], [8], [10], [9], [10], [10], [9], [9], [10], [7, 7], [9], [6, 6], [9], [8], [10], [5, 8], [10], [9], [8], [8], [9], [5, 9], [10], [6, 8], [8], [6, 6], [8], [7, 7], [5, 8]]
[[9], [9], [10], [5, 8], [8], [9], [5, 8], [9], [6, 7], [8], [8], [10], [10], [10], [6, 7], [6, 6], [8], [10], [9], [8], [10], [6, 7], [9], [8], [8], [10], [6, 7], [8], [9], [9], [5, 8], [8], [10]]
[[8], [10], [8], [8], [5, 8], [8], [8], [5, 7], [8], [10], [9], [10], [8], [8], [7], [9], [6, 7], [6, 6], [9], [9], [10], [9], [9], [5, 8], [8], [10], [9], [9], [6, 7], [8], [10], [10], [6, 6], [10]]
[[9], [8], [9], [8], [10], [10], [9], [8], [6, 7], [8], [8], [8], [7], [10], [9], [10], [5, 8], [10], [9], [5, 5], [8], [10], [6, 6], [6, 7], [10], [8], [9], [7], [8], [9], [9], [6, 6], [8], [8], [10]]
[[8], [10], [8], [8], [8], [8], [10], [10], [5, 5], [8], [10], [10], [9], [10], [8], [9], [9], [9], [6, 6], [8], [8], [6], [10], [7], [6, 6], [8], [9], [10], [8], [5, 7], [9], [9], [7], [9], [8], [6, 7]]
[[6, 6], [8], [8], [8], [8], [10], [9], [9], [10], [6, 6], [8], [9], [10], [], [8], [10], [8], [6, 6], [8], [10], [8], [5, 7], [9], [8], [9], [7], [9], [7], [5, 5], [10], [10], [10], [9], [7], [8], [9], [8]]
[[8], [8], [8], [7], [8], [10], [9], [10], [6, 6], [8], [10], [9], [8], [8], [10], [8], [9], [8], [], [10], [8], [7], [10], [10], [6, 6], [5, 5], [9], [], [9], [10], [9], [5, 7], [9], [8], [8], [7], [9], [6, 6]]
[[8], [7], [8], [7], [9], [8], [7], [6, 6], [9], [10], [8], [10], [8], [9], [10], [10], [5], [10], [], [], [8], [8], [7], [9], [6, 6], [9], [8], [9], [8], [10], [6, 6], [10], [8], [9], [10], [8], [5, 5], [9], [8]]
[[8], [8], [8], [5, 7], [7], [8], [8], [8], [10], [10], [6, 6], [8], [6, 6], [6, 6], [10], [8], [9], [10], [8], [10], [8], [10], [9], [9], [], [10], [9], [], [9], [7], [8], [7], [], [], [8], [9], [9], [9], [5, 5], [10]]
[[8], [8], [6], [8], [8], [8], [], [10], [6], [7], [9], [10], [9], [10], [6], [9], [8], [6], [9], [8], [8], [10], [10], [10], [6], [5], [8], [10], [5, 5], [9], [7], [7], [9], [8], [7], [9], [9], [8], [10], [6], [8]]
-EndAllocation

Instance: [[1], [326], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [217, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [163, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[5, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 7, 7, 7, 7]]
[[5, 10], [8, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7]]
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9], []]
[[5], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9]]
[[5, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8], [7, 7, 7, 7, 9], [10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [], [5, 5, 5, 5, 8, 10]]
[[5, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6], [9, 9, 9], [], [8, 8], [7, 7, 7, 7, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 8, 8], [10, 10, 10, 10], [], [10], [5, 5, 5, 5, 10], [9, 9, 9, 9], [8, 10, 10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[5, 8, 8, 8, 8], [], [9, 9, 9], [8, 8, 8, 8], [6, 6], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 6, 6], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7]]
[[5, 10, 10], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [10, 10, 10], [7, 7, 7, 9], [5, 5, 5, 5, 7], [6, 6, 6, 6, 10], [10, 10, 10], [8, 8, 8, 8], [], [], [8, 8, 8, 8]]
[[5, 9], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6], [10, 10, 10], [], [10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [], [7, 7, 7, 7]]
[[5, 9, 9], [], [8, 10, 10], [10, 10], [6, 6, 6, 6], [8, 8, 10], [10, 10], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5, 9], [8, 8, 8], [9, 9, 9], [9, 10, 10], [], [7, 7, 7, 7]]
[[5, 10, 10], [6, 6, 6, 6], [], [8, 8, 8], [10, 10], [9, 10], [9, 9, 9], [5, 5, 5, 5], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9, 9], [], [10, 10]]
[[5, 7, 7, 7], [], [10, 10], [10, 10], [8, 8, 8], [9, 9], [10, 10], [10], [7, 9, 9], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [9], [9, 9], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[5, 8, 8], [], [], [10, 10], [6, 6, 6, 6], [10, 10], [5, 5, 5, 5], [9, 9], [8, 9], [10, 10], [9, 9], [9, 9], [8, 8, 8], [7, 7, 7], [10, 10], [8, 8, 8], [7, 10], [8, 8, 8]]
[[5, 8, 8], [9, 10], [10, 10], [5, 5, 5, 5], [10, 10], [8, 8, 8], [9, 9], [7, 7, 7], [8, 10], [8, 8, 8], [9, 9], [], [9, 9], [], [8, 8, 8], [7, 10], [], [10, 10], [6, 6, 6, 6]]
[[5, 6, 8], [9, 9], [8, 8], [9, 9], [5, 5, 5, 5], [7, 10], [10], [8, 8], [8, 10], [9, 9], [], [10, 10], [9], [6, 6, 6], [8, 8], [8, 8], [10, 10], [7, 7, 7], [8, 8], [10, 10]]
[[5, 8, 8], [], [9, 9], [10, 10], [5, 5, 5, 5], [9, 9], [7, 10], [6, 6, 6], [10, 10], [8, 8], [6], [8, 8], [8, 8], [10, 10], [7, 7, 7], [8, 8], [9, 9], [9], [], [10, 10], [8, 8]]
[[5, 8], [7, 7], [9, 9], [9, 9], [10, 10], [9, 9], [10, 10], [10, 10], [8], [6, 10], [6, 6, 6], [8, 8], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [], [], [9], [7, 7], [10, 10], [8, 8]]
[[5, 9], [10, 10], [7, 7], [], [10], [10, 10], [8, 8], [6, 6, 6], [8, 8], [8, 8], [10, 10], [9, 9], [8, 8], [], [5, 5, 5, 5], [6, 7, 7], [8, 8], [9, 9], [], [9, 9], [], [10, 10], [8, 8]]
[[5, 8], [6, 6, 6], [8, 10], [8, 8], [9], [7, 7], [8, 10], [8, 8], [8, 8], [8, 8], [9, 9], [5, 5, 5], [], [7, 7], [], [10], [6, 10], [5, 10], [8, 10], [9, 9], [10], [10], [9, 9], [10]]
[[5, 5, 5], [10], [8, 8], [9, 9], [5, 8], [10], [7, 10], [7, 10], [7, 8], [8, 8], [8, 8], [8, 8], [8, 8], [9, 9], [], [], [], [10], [9, 9], [5, 9], [7, 10], [6, 10], [10], [6, 6, 6], [10]]
[[5, 8], [8, 8], [8, 9], [10], [7, 9], [8], [8, 8], [8, 8], [5, 5, 5], [10], [10], [9], [10], [6, 10], [], [7, 9], [9], [6, 9], [7, 10], [10], [10], [8, 8], [5], [8, 9], [7, 10], [6, 6]]
[[5, 10], [6, 6], [6, 6], [10], [7, 7], [8, 8], [], [10], [5, 10], [9], [8, 8], [9], [9], [8, 8], [8, 9], [9], [5, 5, 5], [9], [8, 8], [10], [10], [10], [10], [7, 7], [8, 8], [8, 9], [10]]
[[5, 8], [9], [6, 6], [7, 7], [10], [9], [8, 8], [5, 9], [10], [], [8], [8, 8], [9], [10], [10], [5, 9], [5, 9], [8, 8], [8, 8], [6, 6], [10], [10], [10], [8, 8], [7, 7], [10], [9], [5, 10]]
[[8, 8], [10], [7, 7], [10], [5, 10], [10], [10], [5, 9], [8, 8], [10], [8, 8], [], [7, 7], [10], [8, 8], [9], [8, 8], [5, 5, 5], [6, 6], [9], [9], [9], [6, 6], [], [10], [9], [9], [8, 8], [10]]
[[6, 8], [8], [7, 7], [5, 8], [10], [8], [8], [10], [9], [5, 8], [9], [8], [9], [10], [9], [10], [6, 8], [8], [5, 9], [10], [10], [10], [5, 8], [10], [7, 7], [9], [10], [5, 9], [6, 8], [6, 8]]
[[5, 8], [10], [10], [5, 8], [9], [7, 7], [5, 8], [10], [9], [8], [10], [8], [9], [5, 9], [6, 8], [6, 6], [8], [9], [10], [8], [10], [9], [6, 8], [5, 9], [8], [10], [8], [8], [7, 7], [10], [10]]
[[5, 9], [10], [9], [6, 8], [6, 8], [8], [10], [9], [8], [8], [5, 8], [10], [8], [9], [6, 6], [10], [10], [8], [9], [8], [8], [10], [10], [10], [9], [7, 7], [8], [5, 8], [5, 9], [10], [7, 7], [5]]
[[9], [5, 8], [10], [6, 7], [6, 7], [5, 8], [5, 8], [8], [9], [10], [6, 6], [5, 7], [10], [5, 8], [8], [9], [8], [10], [10], [10], [9], [7], [9], [10], [9], [8], [8], [10], [8], [8], [8], [9], [10]]
[[10], [10], [7], [10], [8], [8], [5, 8], [9], [8], [9], [9], [10], [9], [9], [8], [9], [7], [10], [8], [5, 8], [10], [6, 6], [6, 7], [9], [7], [6], [10], [10], [8], [5, 8], [10], [8], [5, 8], [5, 8]]
[[5, 8], [10], [6, 6], [10], [8], [9], [9], [9], [8], [8], [6, 6], [9], [8], [8], [7], [8], [9], [10], [10], [10], [7], [8], [7], [8], [10], [9], [10], [9], [8], [7], [5, 8], [10], [5, 8], [5, 5], [10]]
[[5, 8], [10], [9], [9], [10], [7], [10], [10], [8], [8], [6, 6], [7], [7], [9], [9], [8], [9], [9], [8], [7], [10], [5, 8], [10], [9], [5, 5], [10], [10], [8], [], [8], [8], [10], [6, 6], [8], [8], [5, 8]]
[[8], [7], [8], [10], [8], [8], [9], [10], [9], [8], [6, 6], [5, 5], [8], [8], [9], [10], [], [7], [7], [8], [10], [8], [10], [8], [9], [10], [9], [9], [6, 6], [10], [8], [9], [10], [5, 7], [10], [8], [5, 5]]
[[5, 7], [10], [10], [], [], [8], [8], [6, 6], [8], [8], [7], [5, 5], [9], [6, 6], [9], [10], [5, 5], [10], [8], [10], [8], [10], [10], [9], [8], [8], [9], [7], [10], [10], [9], [7], [9], [8], [8], [8], [9], [8]]
[[8], [10], [10], [6, 6], [8], [8], [7], [8], [8], [9], [], [8], [8], [8], [8], [9], [10], [9], [6, 6], [10], [10], [], [9], [10], [10], [5, 7], [8], [8], [9], [], [7], [5, 7], [10], [9], [10], [8], [5, 5], [5], [9]]
[[5], [8], [10], [7], [9], [8], [8], [8], [9], [], [8], [10], [6, 6], [8], [], [6, 6], [9], [], [5, 5], [9], [8], [10], [8], [7], [9], [9], [10], [10], [8], [5, 5], [10], [8], [10], [7], [8], [7], [10], [8], [10], [9]]
[[7], [8], [8], [7], [9], [10], [7], [8], [10], [8], [8], [8], [], [8], [8], [], [8], [5, 5], [6], [9], [6], [10], [6], [10], [7], [5, 5], [9], [10], [10], [9], [10], [10], [10], [9], [5], [9], [8], [6], [9], [8], [8]]
-EndAllocation

Instance: [[1], [325], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [217, 145, 109, 86, 73, 62, 54, 49, 44, 40, 37, 33, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [163, 109, 82, 65, 55, 47, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[1, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 3, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 3, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[1, 3, 5, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 9, 10, 10], [9, 9, 9, 9, 9, 9, 9, 10], [], [5, 7, 7, 7, 7]]
[[1, 3, 6, 8, 8, 8, 10], [], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9], [6, 6, 6, 6, 6, 10, 10, 10]]
[[1, 3, 6, 6, 6, 6, 6, 6, 8], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9], [5]]
[[1, 3, 5, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 10, 10], [], [6, 6, 6, 6, 6, 6]]
[[1, 9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7], [10, 10, 10, 10], [5], [10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [], [5], [9, 9, 9, 9], [10, 10], [1, 3, 7, 7, 7, 7], [9, 9, 9, 9]]
[[1, 9, 9, 9, 9], [], [9, 9, 9, 9], [8, 8, 8, 8], [], [10, 10, 10], [8, 8, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10], [3, 5, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7]]
[[1, 3, 8, 8, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [9, 9], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [5, 10, 10], [6, 10]]
[[1, 3, 9, 9, 10], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [5], [10, 10, 10], [6], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [], [8, 8]]
[[1, 3, 8, 8, 8], [9, 9], [10, 10], [10, 10], [6], [6, 7], [8, 10, 10], [6, 10, 10], [5, 8, 8, 8], [8, 8, 8], [6, 10, 10], [9, 9, 9], [9, 9, 9], [6], [6, 7, 7, 7]]
[[1, 3, 8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [5, 9, 9], [], [9, 9, 9], [9, 9, 9], [10, 10], [6, 6, 8], [10, 10], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [], [10, 10]]
[[1, 3, 7, 7, 7], [8, 8, 8], [10, 10], [10, 10], [], [8, 9, 9], [5, 10, 10], [6, 10, 10], [8, 8, 8], [6, 9, 9], [8, 8, 8], [6, 7], [6, 9, 9], [6, 9, 9], [6], [10, 10], []]
[[1, 8, 8, 8], [], [5, 10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [3, 10, 10], [6, 6, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [9, 9], [7, 8], [9, 9], [], [7, 7, 7], [9]]
[[8, 8, 8], [9, 9], [10, 10], [10, 10], [], [6, 6, 8], [5, 9, 9], [9, 9], [10, 10], [8, 8, 8], [1, 3, 7], [], [9, 9], [10, 10], [8, 8, 8], [7, 7, 7], [], [10, 10], [6, 6, 6, 6]]
[[1, 3, 8, 8], [9, 9], [], [9, 9], [6, 6, 6], [7, 7, 7], [6, 10], [10, 10], [6, 8, 8], [5, 8, 8], [6, 8, 8], [10], [8, 8], [9, 9], [10, 10], [9, 9], [10, 10], [10, 10], [7], []]
[[1, 3, 8, 8], [5], [9, 9], [10, 10], [10, 10], [9, 9], [8, 8], [6, 6, 6], [8, 8], [6, 6, 6], [8, 8], [10, 10], [8, 8], [10, 10], [7], [], [9, 9], [9, 9], [], [10, 10], [7, 7, 7]]
[[1, 3, 8, 8], [], [9, 9], [9, 9], [8, 8], [9, 9], [10, 10], [10, 10], [8, 8], [8, 8], [10, 10], [], [7, 7], [7, 7], [10, 10], [5], [8, 8], [], [9, 9], [6, 6, 6], [6, 6, 6], [10, 10]]
[[1, 3, 8, 8], [], [10, 10], [8, 8], [9, 9], [8, 8], [10, 10], [6, 6, 6], [6, 8], [8, 8], [5, 7], [10, 10], [9, 9], [], [], [6, 6, 7], [7, 7], [9, 9], [], [10, 10], [8], [9, 9], [10, 10]]
[[1, 8, 8], [10], [10], [10], [9, 9], [7, 10], [10], [6, 10], [8, 8], [8, 8], [8, 8], [3, 6, 6], [5, 7], [8, 8], [], [9, 9], [7, 7], [10], [10], [6, 6, 6], [10], [9, 9], [9, 9], [10]]
[[1, 8, 8], [9], [7, 7], [6, 10], [8, 8], [9], [3, 9], [6, 9], [8, 9], [6, 9], [5, 10], [7, 7], [8, 9], [8, 8], [10], [10], [10], [6, 6], [10], [10], [10], [8, 8], [10], [6, 10], [9]]
[[1, 8, 8], [10], [10], [6, 9], [10], [8, 8], [7, 7], [5, 9], [8, 8], [3, 8], [6, 10], [10], [8, 9], [6, 10], [9], [7, 9], [10], [8, 8], [6, 10], [9], [7, 9], [], [], [6, 9], [10], [6, 10]]
[[1, 8, 8], [7, 10], [8, 8], [9], [8, 8], [9], [], [], [8, 8], [10], [8, 9], [6, 9], [6, 9], [3, 10], [8, 9], [10], [7, 10], [10], [10], [10], [6, 6], [6, 6], [5, 9], [7, 7], [10], [10], [9]]
[[8, 8], [10], [10], [7, 7], [5, 9], [7, 7], [6, 9], [8, 8], [8, 8], [1, 3, 9], [9], [8, 8], [9], [9], [10], [10], [10], [9], [8, 8], [6, 6], [10], [10], [10], [], [6, 10], [10], [6, 6], [9]]
[[6, 10], [6, 6], [8, 8], [9], [9], [9], [3, 9], [6, 10], [8, 8], [8, 8], [8, 8], [1, 6, 6], [7, 7], [10], [9], [10], [5, 10], [10], [10], [9], [10], [9], [], [7, 7], [8, 8], [], [9], [10], [10]]
[[7, 7], [1, 3, 8], [10], [10], [10], [10], [6, 8], [8], [6, 8], [10], [7, 7], [9], [9], [9], [6, 8], [9], [9], [10], [10], [6, 8], [9], [6, 8], [10], [6, 8], [5, 8], [9], [8], [9], [10], [10]]
[[7, 7], [6, 8], [1, 8], [9], [10], [10], [10], [10], [6, 7], [10], [9], [9], [6, 8], [9], [10], [10], [9], [6, 8], [10], [6, 7], [8], [8], [8], [8], [6, 8], [9], [5, 9], [10], [10], [9], [3, 8]]
[[1, 3, 8], [8], [6, 8], [10], [8], [10], [10], [10], [7, 7], [10], [6, 8], [9], [6, 6], [8], [10], [8], [], [5, 9], [9], [9], [8], [10], [9], [10], [9], [9], [6, 8], [10], [9], [10], [7, 7], [6, 8]]
[[1, 10], [3, 9], [10], [8], [6, 7], [6, 7], [5, 8], [9], [9], [9], [6, 6], [10], [8], [10], [6, 7], [8], [9], [9], [10], [10], [8], [8], [6, 7], [8], [8], [10], [8], [8], [9], [10], [10], [9], [10]]
[[1, 10], [3, 10], [10], [10], [10], [8], [9], [9], [10], [10], [9], [9], [8], [8], [8], [9], [7], [6, 6], [6, 6], [8], [10], [9], [9], [6, 7], [8], [10], [9], [5, 8], [8], [8], [10], [7], [6, 7], [8]]
[[1, 8], [6, 7], [5, 8], [], [8], [8], [9], [10], [10], [6, 6], [10], [10], [9], [10], [10], [8], [10], [9], [9], [10], [6, 6], [3, 9], [7], [9], [8], [10], [8], [6, 7], [8], [8], [9], [7], [9], [10], [8]]
[[3, 8], [6, 6], [9], [7], [9], [8], [7], [9], [8], [8], [10], [10], [9], [10], [10], [9], [6, 6], [8], [10], [9], [9], [10], [10], [], [8], [8], [7], [10], [8], [9], [7], [5, 8], [6, 6], [10], [10], [1, 8]]
[[1, 3, 6], [5, 6], [8], [8], [8], [10], [10], [10], [9], [10], [10], [10], [9], [9], [7], [9], [9], [8], [9], [9], [8], [6, 6], [6, 6], [10], [10], [8], [10], [10], [8], [7], [8], [7], [], [7], [8], [8], [9]]
[[6, 6], [1], [8], [7], [9], [10], [8], [10], [6, 6], [8], [10], [9], [9], [8], [10], [10], [9], [8], [8], [10], [], [7], [8], [10], [8], [], [9], [5, 7], [9], [10], [9], [8], [10], [7], [6, 6], [10], [3, 9], [8]]
[[10], [3, 8], [8], [5, 7], [7], [8], [7], [9], [9], [10], [10], [10], [8], [8], [8], [8], [], [], [], [9], [], [6, 6], [10], [9], [8], [8], [9], [10], [9], [10], [6, 6], [9], [7], [9], [10], [10], [10], [6, 6], [1, 8]]
[[7], [7], [], [9], [9], [8], [9], [], [7], [9], [8], [9], [6, 6], [8], [9], [10], [6, 6], [10], [10], [10], [9], [8], [9], [8], [10], [10], [10], [10], [10], [8], [8], [8], [8], [1, 8], [10], [7], [], [6, 6], [], [3, 5]]
[[8], [8], [8], [8], [6], [8], [6], [10], [6], [], [9], [10], [9], [8], [5], [], [8], [7], [9], [8], [8], [10], [10], [10], [6], [10], [9], [6], [7], [9], [9], [10], [10], [9], [6], [9], [7], [10], [10], [3, 7], [1, 8]]
-EndAllocation

Instance: [[1], [324], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 26, 24, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 20, 18, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10], [7]]
[[5, 5, 5, 5], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6], [8]]
[[5, 5, 5, 5], [9, 9], [7, 7, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10, 10], [9, 9, 9, 9, 9, 9], [10], [5, 5, 5, 5]]
[[5, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8], [9, 9, 9], [], [6, 6, 6, 6, 6]]
[[9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [5, 5, 5, 5], [], [6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[5, 5, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 5], [7], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[9, 9, 9, 9], [], [9, 9, 9, 9], [8, 8, 8, 8], [7], [5, 5, 5, 10, 10], [8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [5, 10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7]]
[[8, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 8], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], []]
[[9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10], [5, 5, 5, 5], [10, 10, 10], [7, 7], [8, 8, 8, 8], [9, 9, 9], [9, 9, 9], [], [8, 8]]
[[8, 8, 8], [8, 10, 10], [6, 10, 10], [7, 10, 10], [6, 6, 6, 6], [], [5, 5, 5, 5, 7], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [9, 9, 9], [], [7, 7, 7, 7]]
[[8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5, 5], [10], [9, 9, 9], [9, 9, 9], [9, 10], [7, 7, 8], [10, 10], [10, 10], [8, 8, 8], [], [6, 6, 6, 6], [10], [6, 9, 10]]
[[7, 7, 7], [8, 8, 8], [6, 10, 10], [10, 10], [], [9, 9], [10, 10], [8, 9, 9], [8, 8, 8], [5, 5, 5, 5], [8, 8, 8], [7, 7, 7], [9, 9], [9, 9], [6, 6, 6, 6], [10, 10], []]
[[8, 8, 8], [], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [5, 5, 5, 5], [9, 9], [6, 8, 9], [8, 8, 8], [10, 10], [9, 9], [9, 9], [7, 7, 7], [8, 8, 8], [], [7, 7, 7], [9]]
[[8, 8, 8], [9, 9], [10, 10], [5, 5, 5, 5], [], [8], [9, 9], [9, 9], [10, 10], [8, 8, 8], [7, 7, 7], [], [9, 9], [10, 10], [8, 8, 8], [7, 7, 7], [6], [10, 10], [6, 6, 6, 6]]
[[8, 8], [9, 9], [6, 6], [9, 9], [5, 5, 5, 5], [10, 10], [], [7, 7, 7], [8, 8], [8, 8], [8, 8], [8, 8], [9, 9], [6, 6, 6], [10, 10], [9, 9], [10, 10], [10, 10], [7, 7, 7], []]
[[8, 8], [], [9, 9], [10, 10], [6, 6], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8], [8, 8], [10, 10], [7, 7, 7], [10, 10], [7, 7, 7], [], [9, 9], [8, 8], [], [9, 9], [5, 5, 5, 5]]
[[8, 8], [], [9, 9], [9, 9], [8, 8], [9, 9], [10, 10], [10, 10], [8, 8], [8, 8], [6, 6], [], [8, 8], [7, 7], [10, 10], [], [5, 5, 5, 5], [7, 7], [9, 9], [7, 7], [6, 6, 6], [10, 10]]
[[8, 8], [], [10, 10], [8, 8], [9, 9], [8, 8], [], [6, 6, 6], [8, 8], [8, 8], [6, 7, 7], [10, 10], [9, 9], [], [5, 5, 5, 5], [6, 7, 7], [7, 7], [9, 9], [], [10, 10], [], [9, 9], [10, 10]]
[[8, 8], [8, 10], [10], [8, 10], [9, 9], [7, 7], [10], [10], [8, 8], [9], [8, 10], [8, 9], [7, 7], [8, 8], [], [9, 9], [7, 7], [5, 5, 5], [], [6, 6, 6], [5], [6, 10], [9, 9], [6, 10]]
[[10], [9], [7, 7], [8, 9], [8, 8], [10], [7, 7], [6, 10], [8, 8], [9], [9], [7, 7], [10], [8, 8], [10], [6, 10], [9], [5, 5, 5], [9], [9], [8, 9], [8, 8], [6, 10], [5, 6, 6], [10]]
[[8, 8], [9], [9], [10], [9], [8, 8], [7, 7], [7, 9], [8, 8], [8, 9], [5, 6, 6], [10], [5, 5, 5], [6, 10], [8, 9], [7, 9], [10], [8, 8], [10], [10], [7, 9], [], [], [10], [7, 10], [6, 6]]
[[8, 8], [7, 7], [8, 8], [9], [8, 8], [9], [10], [5, 7], [8, 8], [5, 5, 5], [6, 6], [8, 8], [10], [9], [10], [9], [7, 7], [9], [6, 10], [9], [10], [6, 6], [10], [7, 9], [10], [10], [9]]
[[8, 8], [9], [6, 10], [7, 7], [9], [7, 7], [8, 8], [9], [8, 8], [9], [10], [8, 8], [5, 5, 5], [9], [10], [9], [9], [10], [5], [6, 6], [7, 7], [10], [10], [8, 8], [9], [10], [6, 6], [10]]
[[10], [9], [8, 8], [7, 9], [10], [5, 9], [9], [7, 7], [8, 8], [8, 8], [8, 8], [6, 6], [7, 7], [6, 10], [10], [9], [10], [10], [], [9], [10], [9], [5, 5, 5], [6, 6], [8, 8], [], [7, 9], [], [10]]
[[5, 9], [10], [10], [10], [8], [8], [5, 9], [9], [5, 5], [9], [9], [8], [10], [9], [10], [10], [9], [6, 8], [8], [7, 7], [10], [8], [6, 8], [9], [6, 8], [6, 8], [10], [7, 7], [7, 7], [6, 8]]
[[5, 9], [6, 8], [9], [10], [6, 8], [6, 6], [8], [8], [7, 7], [10], [9], [9], [8], [8], [10], [8], [10], [9], [9], [8], [10], [6, 8], [10], [5, 5], [10], [5, 8], [9], [9], [7, 7], [7, 7], [10]]
[[5, 8], [8], [7, 7], [10], [8], [10], [8], [10], [5, 5], [10], [6, 6], [9], [6, 6], [9], [10], [8], [7, 7], [9], [8], [9], [9], [10], [9], [10], [8], [8], [9], [6, 8], [5, 9], [10], [7, 7], [8]]
[[9], [10], [5, 8], [6, 7], [10], [5, 7], [6, 7], [7], [8], [8], [10], [10], [9], [10], [6, 7], [5, 8], [9], [9], [10], [5, 7], [9], [6, 6], [8], [9], [9], [10], [8], [8], [9], [8], [8], [8], [10]]
[[8], [9], [8], [10], [5, 8], [8], [8], [8], [10], [10], [9], [10], [10], [8], [9], [9], [6, 7], [6, 6], [9], [9], [7], [5, 5], [6, 7], [5, 7], [8], [10], [7], [6, 7], [10], [9], [10], [8], [8], [9]]
[[10], [9], [8], [8], [5, 8], [7], [8], [9], [5, 8], [10], [9], [5, 8], [6, 6], [9], [6, 7], [10], [9], [10], [], [10], [6, 6], [7], [7], [9], [5, 8], [10], [9], [7], [8], [9], [10], [8], [8], [10], [7]]
[[8], [6, 6], [8], [8], [9], [8], [7], [9], [8], [7], [5, 5], [10], [9], [10], [7], [8], [7], [5, 6], [10], [9], [9], [10], [10], [9], [8], [8], [8], [10], [8], [7], [9], [10], [6, 6], [10], [9], [5, 7]]
[[8], [7], [9], [8], [8], [10], [8], [9], [10], [9], [5, 5], [7], [10], [], [9], [10], [7], [7], [9], [8], [9], [8], [10], [5, 6], [6, 6], [8], [8], [9], [6, 6], [10], [5, 7], [7], [10], [9], [10], [8], [8]]
[[8], [8], [8], [8], [8], [8], [8], [9], [5, 5], [10], [9], [10], [9], [7], [10], [6], [6, 6], [7], [9], [7], [10], [7], [], [10], [6, 6], [8], [9], [7], [9], [10], [9], [8], [10], [5, 5], [7], [10], [9], [8]]
[[5, 7], [5, 7], [8], [8], [7], [7], [8], [10], [9], [8], [10], [10], [9], [9], [10], [9], [5], [10], [], [], [8], [6, 6], [8], [], [10], [9], [8], [9], [7], [10], [6, 6], [7], [8], [8], [10], [9], [5, 6], [9], [8]]
[[10], [8], [8], [8], [6, 6], [6, 6], [6], [5, 5], [7], [9], [9], [9], [7], [10], [10], [8], [7], [10], [], [10], [7], [10], [9], [9], [9], [10], [9], [], [8], [7], [8], [], [7], [9], [10], [8], [8], [8], [5, 5], [8]]
[[8], [8], [8], [8], [7], [6], [8], [8], [6], [8], [10], [8], [10], [10], [10], [], [9], [8], [7], [9], [6], [5, 5], [7], [10], [7], [5, 5], [9], [9], [7], [9], [9], [10], [10], [9], [8], [9], [], [6], [10], [7], [6]]
-EndAllocation

Instance: [[1], [323], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 5, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 5, 5, 5, 5, 5, 9]]
[[4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6]]
[[4, 4, 4, 5, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7], [6, 6, 9], [5, 5, 5, 5, 10, 10, 10, 10, 10]]
[[4, 4, 4, 5, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [6, 6, 10, 10, 10, 10], [8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 9, 9, 9]]
[[4, 4, 4], [8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6], [9, 9, 9, 9, 9, 9]]
[[4, 4, 4, 5, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 10, 10], [5, 5, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 5, 9, 9, 9, 9]]
[[4, 4, 4, 9, 9, 9], [7, 7, 7, 9], [9, 10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 5], [], [6, 6, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8]]
[[4, 4, 4, 8, 8, 10], [8, 8, 9, 10], [5, 5, 5, 5, 9, 10], [9, 10, 10, 10], [8, 8, 8, 8, 8], [], [], [9, 9, 9, 10], [5, 6, 6, 10, 10], [9, 9, 9, 10], [7, 7, 7]]
[[9, 9, 9, 9], [9, 9, 9, 9], [8], [8, 8, 8, 8], [4, 4, 4, 9], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6], [7, 7, 7]]
[[4, 4, 4, 6, 6, 9], [8, 8, 8, 8], [8], [9, 9, 9], [10, 10, 10], [7, 7, 7], [5, 5, 5, 5, 5], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [], [9, 9, 10], [10, 10, 10]]
[[6, 6, 10, 10], [10, 10, 10], [7, 7, 7], [8], [5, 5, 5, 5, 5], [], [10, 10], [10, 10, 10], [8, 8, 8, 8], [4, 9, 9, 9], [4, 9, 9, 9], [4, 9, 9, 9], [], [8, 8, 8, 8]]
[[5, 5, 9, 9], [9, 9], [6, 6], [10, 10], [], [10, 10], [4, 4, 9, 9], [8, 10, 10], [9, 9], [4, 5, 5, 5, 10], [8, 8, 10], [8, 8, 8], [9, 10, 10], [8, 8, 8], [7, 7, 7]]
[[4, 8, 8, 8], [7, 7, 7], [], [8, 8, 8], [5, 5, 5, 9], [9, 9, 9], [8, 8, 8], [10, 10], [4, 4, 10, 10], [10], [9, 9, 9], [5, 10, 10], [5, 9, 10], [6, 6], [9], [10, 10]]
[[4, 4, 4, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [], [9, 9], [8, 8, 8], [6, 10], [10, 10], [8, 8, 9], [6, 8], [9, 9], [10, 10], [7, 7, 7]]
[[8, 8, 8], [4, 9, 9], [10], [4, 10], [6, 6, 10], [10], [7, 7, 7], [9, 9], [9, 9], [4, 5, 5, 10], [5, 9, 9], [5, 5, 10], [8, 8, 8], [10], [10], [9, 10], [8, 8, 8], [10]]
[[4, 4, 4, 10], [9, 9], [9, 10], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [9, 9], [10, 10], [5, 7, 7], [7], [9, 9], [10, 10], [8, 8], [8, 8], [8], [8, 8], [10, 10], [6, 6]]
[[5, 8, 8], [9, 9], [], [9, 9], [5, 5, 5, 5], [9, 10], [], [9, 9], [10, 10], [6, 6], [4, 4, 4, 10], [8, 8], [8, 8], [10, 10], [9, 9], [8, 8], [8], [10, 10], [7, 7, 7], [10, 10]]
[[4, 4, 4, 5], [9], [9, 9], [10, 10], [8, 8], [9, 9], [10, 10], [6, 6], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9], [], [10, 10], [8, 8], [8], [9, 9], [8, 8], [8, 8], [], [7, 7, 7]]
[[10, 10], [5, 5, 8], [9], [8], [8], [9], [4, 4, 4], [6, 10], [9, 10], [10, 10], [8, 9], [9], [5, 7, 7], [6, 10], [8], [9, 10], [8, 9], [5, 5, 9], [8, 9], [7, 8], [10, 10], [8]]
[[9, 9], [10], [6, 10], [8, 8], [9, 9], [8, 8], [], [9, 9], [5, 5, 5, 5], [6, 9], [5, 10], [8, 8], [10], [4, 4, 4, 8], [7], [7, 7], [8, 8], [9, 9], [10, 10], [10, 10], [], [], [10, 10]]
[[8, 10], [10], [10], [8], [9, 9], [7, 7], [4, 4, 8], [7, 10], [8], [8, 9], [8, 10], [5, 8], [5, 10], [8, 9], [8, 9], [4, 10], [5, 5, 5], [10], [10], [6, 6], [10], [9, 9], [9, 9], []]
[[6, 10], [5, 5], [8, 9], [9], [8, 9], [9], [9], [7, 9], [7, 10], [8, 9], [8, 8], [8, 8], [6, 10], [9], [4, 4], [8, 8], [4, 10], [10], [5, 9], [10], [10], [10], [7, 10], [5, 5], [10]]
[[7, 9], [10], [4, 4, 9], [10], [10], [10], [8, 8], [9], [5, 9], [7, 9], [5, 5, 5], [5, 9], [9], [8], [8, 8], [7, 10], [8], [10], [8, 8], [9], [8, 9], [10], [4, 10], [10], [10], [6, 6]]
[[4, 9], [9], [10], [5, 9], [8, 8], [10], [8, 8], [7, 9], [4, 7], [4, 10], [10], [6, 6], [9], [9], [5, 5, 5], [8], [8, 8], [8, 8], [10], [9], [5, 9], [10], [7, 9], [10], [10], [10], [10]]
[[6, 9], [8, 8], [6, 10], [7, 7], [9], [9], [10], [10], [8], [5, 5, 5], [4, 4, 7], [8, 8], [10], [10], [10], [8, 8], [9], [10], [8, 8], [9], [4, 5, 5], [9], [9], [10], [10], [9], [9], [10]]
[[5, 9], [8], [6, 10], [5, 5, 5], [10], [9], [10], [7, 9], [8], [4, 4, 8], [4, 10], [7, 9], [9], [6, 9], [9], [10], [9], [8], [8], [10], [8], [10], [10], [8], [9], [10], [5, 8], [7, 8], [10]]
[[6, 8], [4, 7], [4, 10], [5, 9], [10], [7, 7], [5, 8], [9], [4, 10], [10], [6, 8], [10], [8], [8], [8], [10], [5, 9], [9], [9], [9], [10], [8], [10], [8], [8], [5, 9], [10], [5, 9], [9], [10]]
[[5, 9], [5, 7], [4, 9], [4, 10], [10], [9], [9], [8], [6, 8], [9], [9], [9], [8], [10], [5, 8], [10], [9], [8], [8], [7], [10], [5, 8], [7], [10], [10], [10], [10], [9], [4, 10], [5, 8], [6, 8]]
[[5, 5], [6, 8], [7, 7], [4, 4], [10], [4, 8], [7], [10], [10], [9], [10], [8], [6, 8], [10], [9], [8], [5, 8], [5, 9], [9], [5, 9], [8], [8], [10], [10], [9], [9], [10], [10], [9], [8], [10], [9]]
[[10], [4, 9], [4, 9], [5], [9], [5, 8], [10], [10], [10], [8], [6, 6], [9], [9], [10], [7], [4, 9], [5, 7], [5, 8], [10], [8], [9], [10], [8], [9], [10], [10], [9], [10], [8], [8], [5, 8], [8], [7]]
[[9], [6], [5, 8], [9], [10], [9], [10], [5, 6], [9], [8], [10], [10], [9], [10], [8], [10], [9], [10], [10], [9], [7], [4, 4, 4], [10], [7], [9], [10], [9], [8], [8], [5, 8], [8], [8], [5, 7], [5, 8]]
[[10], [6, 7], [10], [5, 8], [10], [9], [9], [5, 8], [5, 5], [4, 4, 4], [5, 8], [10], [10], [8], [8], [8], [10], [9], [7], [10], [], [10], [8], [8], [9], [9], [10], [8], [10], [9], [9], [9], [6, 7], [], [9]]
[[4, 7], [10], [8], [9], [9], [8], [], [10], [8], [9], [8], [6, 6], [4, 8], [10], [9], [8], [9], [8], [10], [5, 5], [5], [10], [10], [10], [8], [9], [9], [10], [9], [7], [9], [7], [10], [4, 8], [10], [5, 5]]
[[4, 8], [4, 8], [8], [10], [8], [10], [4, 8], [5], [9], [5], [8], [7], [10], [8], [10], [10], [9], [7], [9], [], [10], [8], [10], [5, 5], [9], [9], [9], [9], [9], [10], [6, 6], [8], [10], [7], [10], [5], [9]]
[[5, 5], [8], [10], [9], [9], [9], [8], [5, 5], [10], [4, 4, 4], [9], [10], [10], [10], [8], [10], [10], [9], [9], [10], [], [7], [8], [5, 7], [8], [6, 6], [8], [], [10], [], [9], [9], [8], [8], [8], [10], [9], [7]]
[[5], [5, 5], [10], [4, 4], [8], [9], [7], [4], [8], [8], [10], [10], [9], [9], [9], [10], [8], [10], [10], [10], [8], [7], [5, 5], [9], [10], [10], [9], [6, 6], [7], [8], [], [8], [9], [9], [8], [9], [10], [], [8]]
[[4, 4, 4], [8], [10], [9], [10], [], [9], [8], [10], [7], [5], [10], [10], [10], [8], [], [], [9], [9], [10], [10], [5, 5], [8], [9], [6, 6], [5, 5], [9], [10], [8], [7], [8], [8], [7], [], [9], [9], [10], [9], [8], [8]]
[[5, 5], [4, 4], [8], [5, 5], [8], [8], [5], [8], [8], [8], [9], [4], [6], [9], [10], [6], [], [9], [8], [10], [8], [8], [10], [9], [], [10], [], [10], [7], [9], [9], [10], [10], [9], [10], [9], [9], [10], [10], [7], [7]]
-EndAllocation

Instance: [[1], [322], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [214, 144, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [161, 108, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[4, 4, 4, 4, 5, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7], [4, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 7, 7, 7, 7], [4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 10, 10]]
[[4, 6, 6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [], [4, 4, 4, 5, 5, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10, 10], [5, 8, 8, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7], [4, 4, 4, 5, 9, 9]]
[[4], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [4, 4, 4, 5, 5, 9, 9], [10, 10, 10, 10, 10], [6, 6, 6, 6, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[4, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [4, 4, 4, 5, 5]]
[[4, 9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6], [7, 7, 7, 7], [4, 4, 4, 5, 5], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 10, 10], [8]]
[[4, 7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 10, 10], [], [], [4, 4, 4, 5, 5, 6], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9]]
[[4, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [8], [10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [4, 4, 4, 5, 5], [7, 7, 7, 7]]
[[4, 10, 10], [8, 8, 8, 8], [4, 4, 4, 8, 10], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [5, 5, 9, 9], [6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [10], []]
[[4, 8, 8, 8], [10, 10, 10], [5, 5], [10], [4, 4, 4, 6, 6, 6], [], [9, 9, 9], [10, 10, 10], [8, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [6, 9, 9], [8, 8, 8]]
[[4, 8, 8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [], [5, 5], [4, 9, 9], [8, 8, 8], [8, 8, 8], [4, 4, 10, 10], [9, 9, 9], [9, 9, 9], [10, 10], [7, 7, 7, 7]]
[[4, 8, 8, 8], [7, 7, 7, 7], [], [8, 8, 8], [], [9, 9, 9], [5, 9, 9], [4, 4, 10, 10], [4, 10, 10], [8, 8, 8], [9, 9, 9], [5, 10, 10], [10, 10], [6, 6, 6, 6], [], [10, 10]]
[[4, 8, 8], [], [5, 10, 10], [10, 10], [8, 8, 8], [9, 9], [10, 10], [9], [8, 9], [5, 10, 10], [8, 8, 8], [4, 4, 4, 7], [9, 9], [9, 9], [6, 6, 6, 6], [10, 10], [7, 7, 7]]
[[4, 8, 8], [10], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [9, 10], [8, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [9, 9], [4, 4, 4, 5, 5], [9, 9], [7], [7, 7, 7], []]
[[4, 8], [9, 9], [10, 10], [5, 5, 10], [8, 8], [7], [9, 9], [9, 9], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [8, 8], [4, 4, 4, 10], [7, 7, 7], [6], [10, 10], [6, 6, 6]]
[[4, 8], [9, 9], [], [9, 9], [5, 5, 10], [10, 10], [7], [4, 4, 4, 10], [6, 8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [6, 6, 6], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7], []]
[[4, 8, 8], [], [9, 9], [10, 10], [10, 10], [9, 9], [10, 10], [6, 6, 6], [8, 8], [8, 8], [8], [10, 10], [7, 7, 7], [5, 5, 7], [8, 8], [], [10, 10], [9, 9], [6], [4, 4, 4], [9, 9]]
[[4, 8], [], [9, 9], [9, 9], [], [9, 9], [10, 10], [10, 10], [8, 8], [8, 8], [5, 5, 10], [8, 8], [6, 6, 6], [7, 7], [10, 10], [6, 10], [4, 4, 4], [], [9, 9], [7, 7], [8, 8], [10, 10]]
[[4, 7, 7], [10], [8, 10], [8, 8], [9, 9], [8, 8], [6, 10], [6, 6, 6], [8, 8], [8, 8], [9, 9], [10], [9, 9], [10], [5, 5], [7, 7], [4, 4, 4], [9, 9], [10], [10], [10], [10], [10]]
[[4, 8], [5, 5, 6], [10], [10], [9, 9], [7, 7], [4, 4, 10], [4, 8], [8, 8], [8, 10], [8, 8], [10], [7, 7], [8, 8], [], [9, 9], [10], [10], [10], [9, 9], [10], [10], [9, 9], [6, 6, 6]]
[[4, 8], [6, 10], [7, 7], [8, 9], [6, 10], [10], [7, 7], [5, 10], [8, 8], [8, 8], [6, 9], [10], [5, 10], [4, 4, 4], [10], [9], [10], [8, 8], [9], [9], [10], [9], [9], [6, 10], [8, 9]]
[[4, 5, 8], [4, 4, 4], [9], [10], [10], [9], [8, 8], [8, 8], [8, 8], [8, 8], [10], [10], [10], [6, 10], [10], [7, 7], [9], [7, 9], [10], [5, 9], [7, 9], [10], [9], [9], [6, 10], [6, 6]]
[[4, 5, 5], [4, 4, 7], [6, 6], [9], [8, 8], [9], [7, 9], [10], [8, 8], [10], [10], [8, 8], [10], [9], [10], [7, 9], [7, 8], [9], [10], [10], [10], [6, 6], [9], [8, 8], [10], [4, 10], [9]]
[[4, 8], [9], [9], [7, 7], [9], [7, 7], [8, 8], [5, 9], [8, 8], [9], [10], [8, 8], [5, 9], [10], [10], [9], [9], [10], [8, 8], [6, 6], [10], [10], [10], [4, 4, 4], [10], [10], [6, 6], [10]]
[[4, 10], [6, 6], [8, 8], [9], [9], [10], [10], [5, 9], [8, 8], [8, 8], [8, 8], [6, 6], [7, 7], [10], [10], [10], [10], [9], [4, 4, 4], [9], [10], [10], [5, 10], [7, 7], [8], [], [9], [9], [9]]
[[4, 10], [4, 8], [4, 9], [5, 8], [7, 7], [9], [10], [10], [10], [10], [10], [9], [6, 8], [6, 8], [8], [10], [5, 9], [8], [9], [8], [9], [9], [10], [6, 6], [9], [4, 8], [8], [10], [7, 7], [10]]
[[5, 8], [9], [9], [10], [9], [6, 6], [9], [8], [7, 7], [8], [10], [9], [10], [10], [10], [8], [10], [6, 8], [9], [8], [10], [8], [4, 4, 4], [5, 8], [10], [4, 9], [9], [10], [7, 7], [10], [6, 8]]
[[4, 8], [5, 8], [8], [10], [10], [10], [8], [5, 8], [10], [7, 7], [10], [9], [8], [6, 6], [10], [8], [9], [9], [9], [10], [6, 6], [10], [9], [9], [4, 4, 4], [10], [10], [9], [7, 7], [8], [9], [8]]
[[4, 9], [9], [7], [10], [6, 6], [5, 8], [8], [10], [8], [9], [10], [4, 4, 4], [9], [10], [6, 7], [8], [6, 7], [10], [10], [8], [9], [7], [9], [8], [10], [10], [8], [9], [10], [8], [9], [5, 8], [10]]
[[4, 9], [9], [10], [10], [4, 7], [10], [8], [6, 6], [10], [8], [10], [9], [4, 9], [9], [8], [8], [8], [5, 5], [10], [8], [10], [4, 9], [6, 6], [7], [8], [10], [7], [9], [8], [9], [10], [8], [10], [7]]
[[10], [8], [9], [10], [5, 8], [7], [8], [8], [4, 4, 4], [7], [9], [5, 8], [6, 6], [6, 6], [9], [10], [], [10], [10], [10], [7], [8], [8], [10], [10], [10], [10], [9], [9], [4, 8], [8], [9], [7], [9], [9]]
[[4, 8], [6, 6], [8], [7], [8], [10], [10], [10], [5, 5], [8], [10], [10], [9], [4, 4, 4], [9], [8], [9], [7], [10], [9], [9], [10], [8], [], [6, 6], [8], [9], [10], [8], [8], [9], [10], [7], [9], [10], [7]]
[[9], [7], [7], [8], [8], [10], [4], [10], [8], [7], [9], [10], [10], [10], [9], [10], [8], [6, 6], [5, 5], [10], [8], [9], [7], [4, 4, 4], [9], [], [9], [9], [6, 6], [10], [8], [8], [10], [9], [10], [8], [8]]
[[4, 7], [8], [8], [8], [8], [8], [6, 6], [9], [5, 5], [10], [9], [10], [9], [7], [10], [7], [6, 6], [], [9], [10], [10], [4, 4, 4], [], [10], [10], [8], [9], [9], [9], [10], [7], [], [10], [8], [10], [9], [8], [8]]
[[4, 8], [8], [8], [7], [8], [8], [8], [10], [9], [8], [10], [10], [9], [9], [10], [9], [], [10], [], [10], [7], [6, 6], [], [], [10], [4, 4, 4], [8], [9], [9], [10], [6, 6], [7], [8], [9], [10], [10], [5, 5], [9], [7]]
[[9], [8], [8], [8], [9], [8], [], [4, 4, 4], [10], [8], [7], [8], [5, 5], [9], [9], [], [9], [], [10], [10], [6, 6], [10], [10], [10], [9], [], [10], [], [7], [6, 6], [10], [9], [8], [7], [10], [8], [9], [8], [4, 7], [10]]
[[8], [6], [6], [8], [], [8], [8], [10], [6], [7], [9], [10], [9], [8], [], [], [8], [7], [9], [8], [8], [4, 4], [10], [10], [7], [5, 5], [9], [9], [7], [9], [4], [10], [10], [9], [10], [9], [10], [4, 6], [10], [10], [8]]
-EndAllocation

Instance: [[1], [321], 41]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,41. UB Alg: [214, 142, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [161, 107, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,41:
-StartAllocation
[[1, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10]]
[[1, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 5, 5, 5, 5, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 10]]
[[1, 6, 6, 6, 6, 6, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 10, 10, 10]]
[[1, 6], [7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 9, 9], [10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8], [10, 10], [9, 9, 9, 9, 9, 9]]
[[1, 8, 8, 10, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6, 6, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 10], [], [5, 5, 5, 5]]
[[1, 9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 5, 5, 5], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10]]
[[1, 7, 7, 7, 7], [8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6], [], [], [5, 5, 5, 5, 10], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9]]
[[1, 8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8], [], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5], [7, 7, 7, 7]]
[[1, 10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7, 9, 9], [5, 5, 5, 5], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [7, 7, 8, 8], [], []]
[[1, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 8], [], [6, 6, 6, 6, 6], [], [9, 9], [10, 10, 10], [8, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8]]
[[1, 8, 8, 8], [9, 9, 10], [10, 10], [10, 10], [6, 6, 6, 6], [], [5, 5, 5, 5, 8], [10, 10], [8, 8, 8], [8, 8, 8], [6, 10, 10], [9, 9, 9], [9, 9, 9], [], [7, 7, 7, 7]]
[[1, 8, 8, 8], [7, 7, 7, 7], [], [8, 8, 8], [10], [9, 9, 9], [8, 9, 9], [10, 10], [10, 10], [8, 8, 8], [9, 9, 9], [5, 5, 5, 5], [6, 10, 10], [6, 6, 6, 6], [], [10, 10]]
[[1, 8, 10], [], [10, 10], [5, 5, 5, 5], [8, 8, 8], [7, 9, 9], [10, 10], [], [9, 9], [10, 10], [8, 8, 8], [7, 7, 7], [9, 9], [6, 9, 9], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[1, 8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [9, 10], [5, 5, 5, 5], [8, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [9, 9], [7, 7, 7], [9, 9], [], [6, 7, 8], []]
[[1, 8, 8], [9, 9], [10, 10], [5, 5, 5, 5], [8, 8], [9], [9, 9], [7, 9], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [8, 8], [10], [7, 7, 7], [6, 6], [10, 10], [6, 6, 6]]
[[1, 8, 8], [9, 9], [], [9, 9], [5, 5, 5, 5], [10, 10], [10], [9, 9], [8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [6, 6, 6], [6, 6, 7], [9, 9], [10, 10], [10, 10], [7, 7, 7], []]
[[1, 8, 8], [], [9, 9], [10, 10], [9, 9], [9, 9], [10, 10], [6, 6], [8, 8], [8, 8], [8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8], [], [6, 6, 6], [9, 9], [], [7, 10], [10, 10]]
[[1, 8, 8], [], [9, 9], [9, 9], [8, 8], [9, 9], [10, 10], [10, 10], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [6, 6, 6], [7, 7], [10, 10], [], [10], [], [9, 9], [7, 7], [6, 6], [10, 10]]
[[1, 7, 7], [7, 10], [8, 10], [8, 8], [9, 9], [8, 8], [8, 10], [6, 6, 6], [9, 9], [8, 8], [9, 9], [10], [9, 9], [8, 10], [5, 5, 5], [5, 7], [], [6, 6], [8, 10], [10], [], [10], [10]]
[[1, 8, 8], [6, 10], [10], [8, 10], [9, 9], [7, 7], [10], [10], [8, 8], [8, 8], [5, 8], [9, 9], [7, 7], [8, 8], [], [9, 9], [6, 10], [5, 5, 5], [], [6, 6, 6], [10], [10], [9, 9], [10]]
[[1, 9], [6, 6], [7, 10], [10], [8, 8], [10], [7, 7], [9], [8, 8], [8, 8], [7, 10], [9], [5, 5, 5], [8, 9], [10], [], [5, 9], [8, 8], [9], [8, 9], [10], [6, 9], [10], [6, 10], [6, 10]]
[[1, 8, 8], [], [9], [9], [10], [10], [8, 8], [8, 8], [8, 8], [8, 8], [10], [5, 5, 5], [9], [6, 10], [9], [7, 9], [9], [6, 6], [7, 10], [10], [7, 9], [10], [9], [5, 10], [7, 10], [6, 6]]
[[1, 7, 8], [7, 8], [6, 6], [9], [8, 8], [10], [9], [9], [8, 8], [5, 5, 5], [6, 9], [8, 8], [10], [9], [10], [10], [7, 7], [10], [9], [9], [5, 10], [6, 6], [10], [8, 8], [10], [10], [9]]
[[1, 8], [9], [10], [7, 7], [10], [7, 7], [8, 8], [9], [8, 8], [9], [10], [8, 8], [9], [5, 5, 5], [9], [10], [6, 6], [9], [9], [6, 6], [8], [9], [10], [8, 8], [10], [5, 10], [6, 10], [10]]
[[1, 10], [6, 9], [8, 8], [7, 9], [10], [10], [10], [7, 9], [9], [8, 8], [8, 8], [6, 6], [7, 7], [10], [10], [10], [10], [9], [8, 8], [9], [10], [9], [5, 5, 5], [6, 6], [8, 8], [5], [9], [], []]
[[6, 8], [10], [9], [9], [7, 7], [8], [8], [10], [6, 6], [10], [10], [9], [8], [6, 8], [10], [10], [5, 8], [5, 8], [5, 8], [10], [8], [1, 9], [9], [6, 8], [9], [7, 7], [10], [5, 9], [10], [9]]
[[5, 9], [9], [8], [8], [10], [6, 6], [8], [9], [7, 7], [10], [10], [6, 7], [10], [10], [10], [8], [10], [8], [9], [8], [10], [8], [10], [5, 9], [8], [5, 8], [9], [5, 9], [1, 9], [6, 8], [6, 7]]
[[1, 9], [8], [9], [9], [10], [8], [5, 8], [9], [7, 7], [8], [10], [9], [8], [6, 6], [7, 7], [10], [9], [8], [8], [10], [6, 6], [10], [10], [10], [8], [9], [10], [9], [5, 5], [10], [5, 8], [6, 8]]
[[1, 9], [9], [8], [10], [10], [8], [7], [10], [8], [5, 8], [10], [10], [10], [8], [6, 6], [5, 8], [7], [9], [10], [7], [9], [6, 7], [9], [5, 8], [5, 8], [9], [9], [10], [6, 6], [8], [8], [10], [9]]
[[1, 9], [10], [10], [8], [8], [10], [8], [6, 6], [10], [7], [10], [9], [8], [9], [8], [8], [8], [5, 5], [10], [8], [10], [9], [6, 6], [6, 7], [8], [9], [9], [7], [5, 7], [10], [10], [5, 8], [9], [9]]
[[1, 9], [8], [8], [10], [10], [8], [8], [9], [9], [6, 7], [7], [5, 5], [6, 6], [6, 6], [], [9], [10], [10], [8], [10], [10], [8], [9], [5, 8], [10], [10], [9], [9], [10], [9], [8], [5, 8], [7], [7], [8]]
[[1, 8], [8], [7], [8], [8], [10], [6, 6], [10], [8], [8], [5, 5], [10], [9], [10], [9], [8], [9], [], [6, 6], [9], [9], [10], [6], [10], [8], [8], [9], [10], [8], [5, 7], [10], [9], [7], [9], [10], [5, 7]]
[[1, 9], [8], [8], [10], [8], [10], [7], [8], [8], [9], [9], [6], [10], [10], [9], [10], [8], [6, 6], [8], [10], [8], [9], [5, 5], [10], [9], [], [10], [9], [6, 6], [10], [8], [7], [7], [9], [5, 5], [7], [8]]
[[1, 8], [8], [5], [8], [8], [10], [6, 6], [9], [5, 5], [10], [9], [10], [9], [7], [10], [], [6, 6], [], [9], [6], [10], [7], [10], [10], [8], [8], [9], [7], [9], [10], [9], [5, 7], [10], [8], [8], [9], [8], [8]]
[[1, 8], [8], [7], [8], [8], [8], [8], [10], [7], [8], [10], [10], [9], [6, 6], [10], [9], [], [10], [], [], [8], [6, 6], [9], [9], [10], [9], [8], [9], [7], [10], [6], [8], [10], [9], [10], [5, 5], [5, 5], [9], [7]]
[[1, 8], [8], [8], [8], [9], [8], [8], [], [10], [8], [7], [8], [5, 5], [9], [], [6], [9], [], [9], [10], [6, 6], [10], [10], [10], [9], [], [10], [10], [7], [6, 6], [10], [10], [7], [9], [8], [9], [9], [7], [5, 5], [8]]
[[10], [8], [8], [8], [5, 5], [8], [8], [10], [6], [7], [9], [10], [9], [8], [], [], [8], [7], [10], [8], [8], [6], [], [10], [7], [5, 5], [1, 9], [9], [7], [9], [9], [10], [10], [9], [10], [9], [10], [6], [6], [6], [8]]
-EndAllocation

Instance: [[1], [336], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [224, 149, 112, 90, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [168, 112, 84, 68, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 5], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 5, 7, 7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 7, 7, 7, 7, 7, 8, 10, 10], [9, 9, 9, 9, 9, 9, 10, 10], [5, 6, 6, 6, 6, 6, 6, 8, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10], [10, 10]]
[[4, 4, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8], [5, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7], []]
[[4, 4, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 10]]
[[4, 4, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [], [5, 9, 9], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 10], [10, 10, 10, 10, 10]]
[[4, 4, 7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [9], [6, 6, 6, 6, 6, 6], [5, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10]]
[[4, 4, 8, 8, 8, 8], [8, 8, 8, 10], [9, 9, 10, 10], [10, 10], [], [6, 6, 6, 6, 6, 6], [5, 8, 8, 10, 10], [9, 9, 9, 9], [10, 10], [8, 8, 10, 10], [7, 7, 7, 7, 7]]
[[4, 4, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [9, 9], [5, 10, 10], [10, 10, 10], [], [7, 7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10]]
[[8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [], [5, 7], [10, 10, 10], [6, 10, 10], [7, 7, 7, 7], [4, 4, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10, 10, 10]]
[[4, 4, 8, 8, 8], [10, 10], [10, 10], [], [5, 10, 10], [10], [6, 6, 6, 7, 7], [10, 10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 10], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 10]]
[[4, 4, 5, 8, 8], [9, 9, 9], [10, 10, 10], [7], [], [], [10, 10], [9, 9, 9], [8, 8, 8], [6, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[8, 8, 10], [8, 8, 8], [7, 10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [6, 6], [10, 10], [9, 9, 9], [4, 8, 8, 8], [4, 8, 8, 8], [10, 10], [5, 10, 10], [], [10, 10], [9, 9, 9], []]
[[4, 4, 8, 8], [], [10], [6, 10, 10], [10, 10], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [6, 9, 9], [8, 8, 8], [7, 7, 7], [10, 10], [5, 10, 10], [6, 6, 6, 6], [9, 9], [7, 7]]
[[8, 8, 8], [8, 8, 8], [9, 9], [7, 9, 9], [], [10, 10], [6, 6, 6, 6], [10, 10], [5, 10, 10], [8, 8, 8], [4, 4, 7, 8], [6, 6, 8], [10, 10], [7, 7, 7], [], [10, 10], [10], [9, 9]]
[[4, 4, 8, 8], [], [9, 9], [5, 9], [8, 8, 8], [], [6, 6, 6, 6], [9, 10], [10, 10], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [6, 6], [7, 7]]
[[4, 8, 8], [], [8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8], [7, 10], [8, 8], [10, 10], [4, 6, 6, 6], [9, 9], [10, 10], [5, 7], [9, 9], [6, 6, 6], [10, 10], [8, 8], [10, 10], [8]]
[[4, 4, 10], [5, 8, 8], [10, 10], [9, 9], [9, 9], [7, 7], [10, 10], [10, 10], [8, 8], [8, 8], [7, 7, 7], [6, 6, 8], [10, 10], [6, 6, 6], [9, 9], [6], [8, 8], [], [10, 10], [], [8, 8]]
[[4, 8, 8], [8, 8], [], [10, 10], [10], [10, 10], [8, 8], [7, 7], [8, 8], [6, 6, 6], [4, 8, 8], [10, 10], [8], [10, 10], [9, 9], [], [6, 6, 6], [9, 9], [10, 10], [7, 7, 7], [5], [9, 9]]
[[4, 8, 8], [10, 10], [8, 8], [9, 9], [5], [7, 9], [7, 7], [9, 10], [8, 8], [10, 10], [4, 7, 7], [8, 8], [], [10, 10], [8, 8], [8], [10, 10], [9, 9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[8, 8], [7, 10], [10], [6, 6, 6], [10], [9, 9], [8, 8], [9, 9], [8, 8], [4, 4, 8], [6, 6, 6], [5, 10], [8, 10], [10], [10], [10], [7, 7], [], [8, 8], [10], [10], [9, 9], [7, 10], [7, 8]]
[[8, 8], [9, 9], [7, 10], [9, 9], [6, 10], [10], [5, 10], [9, 9], [8, 8], [8, 8], [8, 8], [4, 6, 6], [8, 10], [8, 8], [7, 10], [4, 10], [], [], [7, 7], [10], [7, 10], [], [6, 6], [10], [6, 10]]
[[8, 8], [7, 10], [6, 6], [10], [9], [9], [10], [8], [8, 8], [10], [8, 9], [7, 7], [10], [7, 10], [10], [4, 10], [4, 10], [5, 6, 6], [8, 9], [6, 6], [8, 9], [7, 10], [8], [9], [8, 8], [10]]
[[8, 8], [5, 9], [9], [8, 8], [10], [6, 10], [6, 6], [8, 8], [8, 8], [8, 8], [6, 10], [4, 10], [6, 9], [7, 7], [4, 10], [10], [9], [10], [10], [8, 9], [], [], [10], [7, 9], [7, 7], [6, 10], [10]]
[[4, 4, 8], [8, 8], [10], [8, 8], [5, 10], [10], [7, 7], [10], [9], [10], [6, 6], [6, 6], [8, 8], [9], [10], [10], [10], [7, 7], [8, 8], [6, 10], [10], [9], [9], [7], [9], [6, 10], [9], [8, 8]]
[[4, 4, 8], [8, 8], [6, 10], [8, 8], [9], [10], [], [6, 6], [8, 8], [10], [7, 7], [8, 8], [10], [10], [], [], [9], [7, 7], [5, 9], [6, 10], [10], [10], [10], [6, 9], [10], [7, 9], [6, 10], [9], [8, 8]]
[[7, 9], [8, 8], [8], [6, 6], [10], [9], [8, 8], [8, 8], [9], [10], [], [10], [6, 6], [], [7, 9], [10], [7, 7], [10], [6, 6], [7, 9], [8, 8], [10], [10], [10], [5, 10], [10], [10], [9], [4, 4], [8, 8]]
[[4, 9], [4, 9], [10], [8], [10], [10], [8], [7, 7], [7, 7], [8], [6, 8], [10], [5, 9], [6, 8], [10], [6, 8], [9], [6, 8], [10], [10], [10], [9], [10], [6, 8], [6, 8], [8], [10], [7], [8], [10], [9]]
[[6, 8], [4, 8], [4, 10], [10], [6, 8], [6, 8], [9], [9], [8], [9], [5, 8], [10], [10], [8], [8], [7, 7], [10], [10], [9], [10], [10], [8], [9], [10], [10], [7], [10], [8], [9], [6, 6], [7, 7], [6, 8]]
[[5, 8], [4, 10], [4, 8], [8], [6, 8], [8], [9], [9], [10], [10], [7], [8], [10], [8], [7, 7], [9], [9], [9], [10], [6, 6], [8], [6, 6], [10], [10], [8], [10], [10], [9], [8], [10], [7, 7], [10], [6, 8]]
[[4, 8], [10], [6, 7], [8], [10], [10], [9], [10], [8], [10], [8], [9], [10], [9], [8], [10], [6, 7], [9], [6, 7], [6, 7], [9], [8], [10], [8], [8], [5, 7], [4, 8], [8], [10], [10], [6, 6], [9], [8], [10]]
[[8], [4, 7], [5, 7], [4, 9], [10], [6, 7], [6, 6], [9], [9], [10], [8], [9], [6, 7], [10], [7], [10], [10], [9], [9], [8], [8], [10], [8], [8], [10], [8], [8], [10], [10], [6, 6], [10], [10], [8], [8], [8]]
[[4, 9], [10], [9], [8], [8], [8], [10], [8], [6, 6], [10], [7], [9], [10], [7], [10], [8], [9], [10], [10], [8], [7], [8], [10], [6, 6], [10], [5, 8], [6, 6], [4, 9], [9], [7], [8], [10], [8], [8], [7], [10]]
[[5, 8], [4, 7], [10], [8], [8], [8], [8], [8], [6, 6], [10], [10], [8], [7], [9], [], [7], [9], [8], [6, 6], [10], [10], [9], [10], [7], [9], [10], [8], [6, 6], [10], [9], [9], [10], [8], [7], [10], [4, 8], [10]]
[[4, 7], [8], [10], [8], [8], [10], [10], [5], [10], [], [6, 6], [9], [10], [10], [10], [10], [7], [7], [8], [6, 6], [6, 6], [10], [8], [10], [9], [8], [10], [7], [8], [9], [9], [8], [7], [8], [9], [8], [9], [4, 8]]
[[4, 8], [8], [8], [8], [8], [10], [10], [], [9], [10], [10], [7], [], [10], [8], [9], [8], [8], [5, 7], [6, 6], [8], [6, 6], [], [9], [10], [10], [10], [7], [9], [8], [7], [10], [7], [6, 6], [9], [10], [9], [10], [4, 8]]
[[4, 7], [4, 8], [8], [8], [8], [7], [8], [8], [8], [6, 6], [6, 6], [], [6, 6], [10], [10], [10], [9], [8], [8], [9], [9], [5], [], [10], [9], [10], [10], [7], [9], [10], [], [7], [10], [8], [10], [8], [10], [9], [10], [7]]
[[9], [4, 7], [9], [8], [9], [10], [8], [], [6, 6], [9], [10], [10], [7], [10], [10], [8], [10], [6, 6], [], [6, 6], [9], [10], [8], [7], [8], [9], [10], [8], [10], [10], [10], [8], [8], [], [8], [7], [8], [5, 7], [], [], [4, 8]]
[[6], [7], [9], [8], [8], [4, 6], [8], [10], [8], [10], [4, 6], [10], [9], [8], [9], [8], [9], [10], [8], [10], [10], [6], [10], [7], [10], [9], [10], [9], [10], [7], [10], [7], [], [5], [8], [6], [8], [8], [8], [6], [7], []]
-EndAllocation

Instance: [[1], [335], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [224, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [168, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8], [4, 4, 5, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[5, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [10, 10, 10, 10, 10, 10, 10, 10], [], [4, 4, 5, 7, 7, 7, 7, 7, 7, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 8], [10, 10, 10, 10, 10, 10, 10], [4, 4, 5]]
[[9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8], [5, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [4, 4]]
[[4, 4, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10]]
[[9, 9, 9, 9, 9], [4, 4, 6, 6, 6, 6, 6, 6], [5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [], [9], [8, 8, 8, 8, 10], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [9], [6, 6, 6, 6, 6, 6], [5, 8], [4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [4, 4, 10], [], [6, 6, 6, 6, 6, 6], [7, 10, 10, 10], [9, 9], [10, 10, 10, 10], [5, 10, 10, 10], [7, 7, 7, 7, 7]]
[[8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 10, 10, 10], [8, 8, 8, 8], [4, 4, 9, 9], [10, 10], [10, 10, 10], [7], [7, 7, 7, 7, 7], [8, 8], [10, 10, 10]]
[[8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [4, 4, 8, 8, 8], [10, 10, 10], [7, 7], [10, 10], [6], [5, 7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10, 10, 10]]
[[8, 8, 10], [10, 10], [4, 4, 10, 10], [], [10, 10, 10], [5], [6, 10, 10], [7, 7, 10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[4, 8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7], [], [6], [], [9, 9, 9], [4, 8, 8, 8], [8, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [5, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[8, 10, 10], [8, 8, 8], [7, 7], [6, 6, 6, 6], [7, 7, 7, 7], [6, 6], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [5, 10, 10], [], [4, 4, 10, 10], [9, 9, 9], [10]]
[[8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [9, 9], [], [7, 7, 7], [4, 4, 10], [10, 10], [6, 6, 8], [5, 9, 9], [7, 7, 7]]
[[8, 10], [8, 8, 8], [9, 9], [7, 9, 9], [4, 4, 10], [10, 10], [6, 6, 6, 6], [5, 6, 6], [10, 10], [8, 8, 8], [8, 8, 8], [], [10, 10], [7, 7, 7], [], [7, 7, 10], [10, 10], [9, 9]]
[[4, 4, 8], [], [9, 9], [5], [8, 8, 8], [], [6, 6, 6, 6], [9, 9], [10, 10], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [6, 6, 10], [7, 7, 7]]
[[4, 8, 8], [8, 8], [8, 8], [10, 10], [9, 9], [7, 7, 7], [10, 10], [7, 7, 7], [10, 10], [4, 8, 8], [6, 6, 6], [9, 9], [], [5], [9, 9], [6, 6, 6], [10, 10], [8, 8], [10, 10], [10]]
[[10, 10], [5, 8, 8], [], [9, 9], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8], [4, 8, 8], [7, 7, 7], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [10], [4, 8, 8], [], [10, 10], [], [8, 8]]
[[8, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [7, 7, 7], [9, 10], [6, 6, 6], [8, 8], [10, 10], [8, 8], [10, 10], [9, 9], [], [6, 6, 6], [9, 9], [10, 10], [7, 7, 7], [5], [4, 4, 9]]
[[4, 8, 8], [10, 10], [8, 8], [9, 9], [], [7, 7], [5, 7, 7], [9, 9], [], [10, 10], [7, 7], [8, 8], [10, 10], [4, 10], [8, 8], [8, 8], [10, 10], [9, 9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[8, 8], [7, 10], [10], [7, 9], [10], [9, 9], [7, 8], [9, 9], [8, 8], [8, 8], [6, 6, 6], [], [8, 8], [10], [4, 4, 10], [8, 10], [7, 10], [10], [6, 6, 6], [10], [10], [9], [5, 10], [7, 7]]
[[8, 8], [9, 9], [10], [9, 9], [10], [10], [10], [9, 9], [4, 4, 8], [8, 8], [8, 8], [6, 6, 6], [8, 10], [8, 8], [6, 6, 6], [10], [], [10], [7, 7], [10], [7, 7], [10], [7, 7], [5, 10], [10]]
[[7, 10], [7, 10], [4, 6, 6], [5, 10], [6, 10], [8, 8], [10], [10], [8, 8], [7, 9], [8, 8], [7, 7], [8, 9], [10], [9], [10], [10], [6, 6], [10], [10], [], [4, 7], [8, 9], [9], [8, 8], [6, 9]]
[[8, 8], [8, 9], [9], [7, 7], [10], [10], [6, 6], [8, 8], [8, 8], [8, 8], [6, 6], [5, 9], [], [7, 7], [10], [10], [9], [10], [10], [10], [4, 4, 9], [10], [6, 10], [8, 9], [7, 7], [6, 10], [10]]
[[5, 8], [8, 8], [7, 8], [4, 10], [10], [10], [7, 7], [9], [7, 9], [10], [10], [6, 6], [8, 8], [10], [9], [8, 8], [], [6, 9], [10], [6, 6], [10], [9], [7, 7], [9], [6, 10], [10], [4, 10], [8, 8]]
[[8, 8], [6, 10], [4, 6, 6], [8, 8], [9], [10], [9], [10], [7, 7], [10], [7, 7], [8, 8], [], [5, 10], [9], [10], [10], [7, 7], [9], [6, 6], [10], [4], [10], [8, 8], [9], [9], [10], [6, 10], [8, 8]]
[[9], [8, 8], [8, 8], [6, 6], [10], [10], [8, 8], [10], [7, 7], [10], [9], [10], [6, 6], [], [7, 7], [10], [7, 7], [9], [6, 6], [10], [8, 8], [4, 4], [5, 10], [9], [10], [9], [10], [9], [10], [8, 8]]
[[4, 9], [9], [6, 8], [6, 8], [6, 8], [10], [6, 8], [10], [9], [5, 8], [9], [7, 7], [10], [10], [8], [4, 8], [8], [10], [10], [10], [7], [10], [6, 8], [10], [10], [9], [6, 8], [7], [7, 7], [9], [10]]
[[4, 9], [5, 8], [8], [8], [8], [10], [6, 6], [7, 7], [8], [10], [9], [10], [6, 8], [10], [10], [9], [8], [10], [9], [10], [10], [10], [4, 10], [7, 7], [8], [9], [8], [9], [10], [6, 6], [7, 7], [6, 8]]
[[4, 8], [4, 10], [8], [6, 8], [6, 8], [8], [9], [10], [10], [8], [7, 7], [8], [10], [9], [7, 7], [9], [9], [], [10], [6, 6], [5, 8], [6, 6], [8], [10], [8], [10], [10], [10], [9], [10], [7, 7], [9], [10]]
[[6, 7], [10], [8], [10], [8], [5, 8], [4, 8], [9], [7], [10], [8], [10], [4, 9], [9], [8], [10], [10], [6, 7], [10], [10], [9], [7], [10], [6, 6], [8], [10], [9], [8], [8], [8], [10], [6, 7], [9], [6, 7]]
[[4, 9], [4, 8], [8], [8], [8], [10], [6, 7], [7], [8], [7], [8], [9], [8], [5, 7], [6, 6], [7], [10], [9], [10], [9], [10], [10], [9], [10], [10], [9], [10], [8], [10], [6, 6], [10], [8], [8], [6, 7], [10]]
[[4, 8], [10], [4, 9], [8], [9], [8], [8], [10], [6, 6], [10], [9], [8], [7], [7], [10], [8], [7], [9], [10], [9], [8], [7], [10], [6, 6], [10], [10], [6, 6], [10], [10], [5, 8], [10], [7], [8], [9], [7], [8]]
[[4, 8], [5, 8], [10], [8], [8], [10], [8], [8], [6, 6], [8], [4, 8], [7], [8], [9], [7], [7], [9], [9], [6, 6], [10], [10], [], [10], [7], [9], [10], [8], [6, 6], [10], [10], [9], [10], [9], [7], [10], [7], [10]]
[[10], [4, 8], [6, 6], [8], [8], [9], [7], [5], [10], [], [7], [8], [10], [10], [9], [10], [7], [8], [7], [6, 6], [6, 6], [7], [8], [10], [9], [8], [8], [10], [4, 8], [10], [9], [9], [10], [10], [10], [7], [9], [8]]
[[8], [9], [9], [8], [4, 8], [7], [10], [], [7], [10], [8], [7], [8], [10], [8], [9], [10], [8], [7], [6, 6], [8], [10], [], [10], [10], [10], [6, 6], [8], [7], [8], [9], [4], [5, 7], [6, 6], [10], [9], [9], [10], [10]]
[[7], [10], [8], [8], [8], [7], [8], [4, 8], [8], [6, 6], [6, 6], [9], [6, 6], [10], [10], [10], [], [8], [4, 8], [9], [9], [], [10], [10], [9], [10], [10], [7], [5, 7], [10], [], [7], [], [10], [10], [8], [9], [9], [7], [8]]
[[4, 8], [4, 7], [8], [8], [10], [9], [8], [9], [7], [], [6, 6], [9], [10], [], [10], [], [7], [9], [7], [10], [], [10], [5, 7], [], [10], [6, 6], [8], [10], [6, 6], [9], [8], [8], [8], [10], [9], [8], [10], [7], [10], [10], [8]]
[[7], [8], [7], [8], [5], [4, 4], [8], [8], [10], [7], [7], [], [10], [7], [9], [6], [10], [8], [10], [8], [9], [6], [7], [10], [9], [8], [10], [8], [10], [10], [9], [6], [8], [6], [10], [9], [6], [6], [10], [9], [10], [8]]
-EndAllocation

Instance: [[1], [334], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [222, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [167, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7], [4, 4, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [], [4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 9, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [4, 4]]
[[4, 4, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8]]
[[6, 6, 6, 6, 6, 6, 9], [4, 4, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[4, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [], [9], [8, 8, 8, 8, 8, 10], [8, 8, 8, 8, 8, 8], [8, 8, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [9], [6, 6, 6, 6, 6, 6], [4, 4, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [], [6, 6, 6, 6, 6, 6], [4, 4, 7, 8, 8, 8], [9, 9, 10], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7]]
[[4, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [9, 9], [], [10, 10, 10], [7, 8], [7, 7, 7, 7, 7], [4, 8, 8, 8, 8], [10, 10, 10]]
[[8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 9], [8, 8, 8, 9], [9], [7, 7, 9], [10, 10, 10], [], [6, 7, 7, 7, 7], [4, 4, 8, 8, 9], [8, 8, 8, 9], [10, 10, 10], [10, 10, 10]]
[[8, 8, 8, 8], [8], [10, 10, 10], [], [10, 10, 10], [6], [4, 4, 7, 7], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[4, 8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7], [], [6, 8], [], [9, 9, 9], [8, 8, 8], [4, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[4, 4, 8, 8], [8, 8], [7, 7], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [6, 6, 10], [8, 10, 10], [8, 8], [8, 8], [8, 10, 10], [8, 10, 10], [8, 8], [10, 10], [9, 9, 9], []]
[[8, 8, 8], [], [8, 8, 8], [6, 6], [10, 10], [10, 10], [9, 9], [8, 8, 8], [4, 4, 8, 10], [9, 9], [8, 8, 8], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9], [7, 7, 7]]
[[4, 4, 8, 9], [8, 8, 8], [9], [7, 7, 7], [9], [10, 10], [6, 6, 6, 6], [6, 6, 9], [10, 10], [8, 8, 9], [8, 8, 8], [8], [10, 10], [7, 7, 7], [8, 8, 8], [10], [10, 10], [9]]
[[7, 8, 8], [], [9, 9], [], [8, 8, 8], [], [6, 6, 6, 6], [4, 9, 9], [10, 10], [4, 9], [7, 7, 9], [8, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [6, 6, 8], [7, 7, 7]]
[[10], [8], [8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8], [7, 7, 7], [8, 8], [4, 8, 8], [4, 6, 6, 6], [9, 9], [10, 10], [8, 8], [9, 9], [6, 6, 6], [10, 10], [8, 8], [10, 10], []]
[[4, 7, 10], [8, 8], [], [9, 9], [9, 9], [8, 8], [10, 10], [10, 10], [8, 8], [4, 8, 8], [7, 8], [6, 6, 6], [7, 7, 7], [6, 6, 6], [9, 9], [7, 10], [8, 8], [10], [10, 10], [], [8, 8]]
[[4, 8, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [7, 7, 7], [4, 8, 8], [6, 6, 8], [8, 8], [10, 10], [8, 8], [6, 10], [9, 9], [], [6, 6, 6], [9, 9], [10, 10], [7, 7, 7], [], [9, 9]]
[[4, 8, 8], [10, 10], [8, 8], [9, 9], [], [7, 7], [7, 7], [8, 9], [8, 9], [8, 10], [4, 7, 7], [8, 8], [], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[8, 8], [7, 10], [10], [7, 7], [8, 10], [9, 9], [8, 8], [9, 9], [6, 6, 6], [8, 8], [4, 4, 10], [], [8, 8], [6, 6, 6], [10], [8, 8], [7, 10], [], [8, 8], [10], [10], [9, 9], [10], [7, 7]]
[[8, 8], [9, 9], [], [9, 9], [8, 10], [8, 8], [7, 10], [9, 9], [8, 8], [8, 8], [8, 8], [4, 4, 6], [6, 10], [8, 8], [6], [6, 10], [6, 10], [], [7, 7], [10], [7, 10], [6], [7, 7], [10], [10]]
[[8, 8], [7, 7], [6, 6], [10], [], [8, 8], [10], [8, 9], [8, 8], [4, 4, 9], [8, 8], [7, 7], [10], [10], [8, 9], [8, 9], [10], [6, 6], [10], [6, 6], [9], [7, 10], [7, 10], [10], [8, 8], [9]]
[[8, 8], [8, 8], [4, 4, 9], [7, 7], [10], [8, 9], [9], [8, 8], [8, 8], [6, 6], [6, 6], [8, 8], [8], [7, 7], [10], [10], [9], [10], [10], [9], [], [10], [6, 10], [8, 9], [7, 7], [6, 10], [10]]
[[8, 8], [8, 8], [10], [8, 8], [10], [10], [7, 7], [9], [7, 9], [8, 8], [10], [8, 8], [8, 8], [10], [9], [], [10], [6, 6], [6, 10], [6, 6], [7, 9], [9], [7, 7], [9], [10], [], [4, 4, 8], [6, 10]]
[[8], [8, 8], [10], [8, 8], [8, 8], [9], [10], [6, 6], [10], [10], [7, 7], [8, 8], [10], [9], [10], [10], [9], [7, 7], [9], [6, 6], [10], [4, 4], [6, 6], [8, 8], [10], [7, 7], [9], [9], [8, 8]]
[[4, 4, 8], [8, 8], [8, 8], [6, 6], [9], [8, 8], [8, 8], [], [], [10], [], [10], [6, 10], [], [7, 7], [10], [7, 7], [7, 9], [6, 6], [10], [8, 8], [10], [9], [10], [9], [10], [10], [7, 9], [6, 9], [8, 8]]
[[4, 9], [4, 8], [10], [8], [9], [7, 7], [10], [8], [10], [7, 7], [9], [6, 8], [8], [10], [9], [6, 8], [6, 8], [6, 8], [10], [10], [10], [8], [9], [10], [9], [10], [6, 8], [6, 8], [7, 7], [8], [8]]
[[9], [4, 7], [8], [10], [6, 8], [8], [10], [10], [6, 8], [6, 8], [9], [10], [6, 8], [8], [10], [6, 8], [10], [9], [10], [10], [9], [4, 7], [6, 8], [9], [8], [8], [8], [7, 7], [8], [9], [7, 7], [10]]
[[7, 7], [4, 8], [8], [6, 8], [10], [9], [6, 8], [6, 8], [10], [10], [9], [6, 8], [10], [4, 8], [7], [8], [9], [6, 7], [10], [9], [7], [9], [6, 8], [7], [8], [10], [10], [10], [9], [8], [10], [8], [8]]
[[6, 7], [4, 9], [4, 8], [9], [6, 7], [8], [8], [10], [8], [10], [8], [6, 7], [10], [6, 7], [9], [10], [6, 7], [8], [8], [9], [8], [8], [8], [10], [8], [10], [10], [8], [8], [10], [10], [9], [9], [6, 7]]
[[4, 9], [10], [10], [4, 8], [10], [6, 6], [10], [6, 7], [10], [7], [10], [8], [6, 7], [8], [8], [6, 7], [6, 7], [8], [10], [9], [7], [10], [9], [8], [9], [9], [8], [8], [10], [8], [8], [8], [8], [9], [8]]
[[4, 8], [8], [4, 8], [10], [9], [9], [10], [10], [6, 6], [10], [7], [10], [8], [7], [10], [10], [9], [6, 7], [9], [8], [8], [8], [9], [9], [10], [10], [6, 6], [8], [7], [8], [8], [7], [8], [6, 7], [8], [8]]
[[4, 9], [9], [6, 6], [9], [10], [8], [], [10], [10], [8], [10], [10], [10], [8], [10], [10], [8], [10], [7], [6, 7], [6, 7], [6, 7], [8], [8], [8], [9], [8], [8], [8], [8], [9], [8], [6, 7], [], [7], [4, 8], [9]]
[[4, 8], [4, 7], [8], [8], [8], [8], [10], [6, 6], [8], [8], [10], [8], [7], [9], [7], [10], [10], [10], [7], [6, 6], [6, 6], [10], [7], [9], [9], [8], [10], [], [10], [7], [10], [9], [8], [9], [9], [8], [8], [8]]
[[4, 7], [4, 8], [10], [6, 6], [8], [6], [6], [8], [8], [8], [8], [7], [7], [10], [10], [9], [10], [], [8], [10], [10], [10], [7], [10], [9], [8], [8], [8], [8], [8], [7], [6, 6], [8], [10], [9], [9], [9], [7], [9]]
[[4, 7], [9], [9], [6, 6], [8], [9], [8], [4, 8], [10], [8], [7], [10], [6, 6], [10], [10], [10], [10], [8], [10], [8], [6], [9], [8], [8], [8], [], [10], [8], [7], [8], [9], [6], [8], [], [9], [10], [7], [7], [8], [7]]
[[9], [9], [9], [6, 6], [4, 8], [7], [8], [8], [8], [8], [10], [10], [9], [10], [7], [8], [10], [10], [8], [10], [8], [6, 6], [6, 6], [7], [8], [7], [], [8], [7], [8], [8], [8], [10], [], [9], [10], [], [10], [], [4, 7], [9]]
[[4, 6], [8], [8], [8], [8], [10], [8], [8], [10], [9], [7], [4], [10], [7], [9], [], [10], [8], [10], [8], [9], [6], [7], [7], [6], [8], [6], [8], [10], [6], [9], [10], [8], [7], [10], [9], [10], [9], [6], [7], [8], [8]]
-EndAllocation

Instance: [[1], [333], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [222, 148, 112, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [167, 111, 84, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 6, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 7, 7, 7, 7]]
[[5, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 7, 7, 7, 7, 10, 10, 10, 10], [8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6, 10]]
[[5, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 5], [6, 6, 6, 6, 6, 6, 9]]
[[5, 9], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [5, 5, 5, 10, 10, 10, 10], [7, 7, 7, 7]]
[[5, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10], [7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9], [5, 5, 5], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[5, 7, 7, 7, 7, 10], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 9, 9], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], []]
[[5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 8, 8, 10], [9, 9, 9, 10], [8, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7]]
[[5, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5, 10, 10], [8, 8, 8, 8], [9, 9, 9], [10], [10, 10, 10], [], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10]]
[[5, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [], [], [5, 5, 5, 9, 10], [6, 8, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10, 10, 10]]
[[5, 8, 8, 8], [], [10, 10, 10], [], [5, 5, 5], [6, 9, 10], [10, 10, 10], [8, 10, 10], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[5, 8, 8, 8], [9, 9, 9], [10, 10, 10], [8, 8, 8], [9], [6], [5, 5, 5], [9, 9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [], [10, 10, 10], [7, 7, 7, 7]]
[[5, 8, 10], [8, 8, 8], [10], [6, 6, 6, 10], [7, 7, 7, 7], [6, 6, 6, 9], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [8, 10, 10], [5, 5, 5, 8], [], [10, 10], [9, 9, 9], []]
[[8, 8, 8], [], [10], [6, 10, 10], [9, 9], [6, 10, 10], [5, 9, 9], [8, 8, 8], [8, 8, 8], [5, 5, 5, 9], [8, 8, 8], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9], [7]]
[[5, 8, 8], [8, 8, 8], [9, 9], [7, 9, 9], [10], [10, 10], [6, 6, 6, 6], [6, 6, 9], [8, 10], [8, 8, 8], [8, 8, 8], [], [5, 5, 5, 10], [7, 7, 7], [], [10, 10], [10, 10], [9, 9]]
[[5, 8, 8], [], [9, 9], [5, 5, 5], [8, 8, 8], [10], [6, 6, 6, 6], [9, 9], [8, 10], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [9, 10], [6, 6], [7]]
[[5, 8, 8], [], [8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8], [10, 10], [8, 8], [8, 8], [6, 6, 6], [9, 9], [9], [5, 5, 5], [9, 9], [6, 6, 6], [10, 10], [8, 8], [10, 10], [7, 10]]
[[5, 8, 8], [8, 8], [7], [9, 9], [9, 9], [5, 5, 5], [10, 10], [9, 10], [8, 8], [8, 8], [7, 7, 7], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [10, 10], [8, 8], [], [10, 10], [], [8, 8]]
[[5, 8, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [6, 6, 6], [8, 8], [6, 6, 6], [8, 8], [10, 10], [8, 8], [10, 10], [9, 9], [], [9, 9], [9, 9], [7, 10], [7, 7, 7], [5, 5, 5], [9]]
[[5, 8], [10, 10], [8, 8], [9, 9], [7, 7], [9, 9], [5, 5, 5], [8, 9], [8, 8], [10, 10], [7, 7], [8, 8], [], [10, 10], [8, 8], [8, 8], [10], [9, 9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[5, 8], [10], [10], [6, 6, 6], [10], [9, 9], [8, 8], [8, 9], [8, 8], [7, 7], [6, 6, 6], [8, 8], [8, 8], [10], [10], [10], [10], [9, 9], [8, 8], [10], [10], [9, 9], [5, 5, 5], [7, 7]]
[[5, 8], [9, 9], [10], [9, 9], [8, 10], [8, 10], [10], [8, 9], [8, 8], [8, 8], [8, 8], [6, 6, 6], [10], [8, 8], [], [10], [], [], [7, 7], [7, 10], [10], [9, 9], [6, 6, 6], [5, 5, 5], [7, 10]]
[[5, 8], [10], [8, 8], [10], [10], [8, 8], [6, 10], [10], [8, 8], [8, 9], [8, 8], [7, 7], [8, 9], [10], [6, 9], [10], [9], [6, 6], [10], [6, 6], [5, 5, 5], [7, 7], [10], [9], [8, 9], [9]]
[[5, 8], [9], [9], [8, 8], [10], [10], [6, 6], [8, 8], [8, 8], [8, 8], [6, 9], [8, 9], [10], [7, 7], [10], [10], [10], [10], [10], [9], [5, 5, 5], [9], [6, 6], [8, 8], [7, 7], [6, 10], [9]]
[[5, 8], [8, 8], [10], [8, 8], [10], [10], [7, 7], [9], [9], [], [10], [6, 6], [8, 8], [10], [6, 10], [10], [9], [7, 7], [8, 8], [10], [6, 9], [9], [9], [10], [6, 8], [5, 5, 5], [6, 9], [8, 8]]
[[8, 8], [8, 8], [6, 10], [8, 8], [10], [10], [9], [6, 6], [9], [10], [10], [8, 8], [], [], [10], [9], [10], [7, 7], [7, 7], [6, 6], [9], [9], [5, 10], [8, 8], [9], [6, 9], [5, 5, 5], [10], [8, 8]]
[[5, 9], [8, 8], [9], [6, 6], [10], [10], [10], [10], [], [8, 8], [5, 5, 5], [6, 10], [7, 7], [], [8, 8], [9], [8, 8], [6, 6], [7, 7], [], [9], [8, 8], [10], [10], [6, 9], [9], [10], [10], [9], [8, 8]]
[[5, 8], [9], [5, 9], [8], [8], [10], [8], [10], [10], [9], [10], [6, 8], [10], [10], [9], [5, 7], [6, 8], [9], [9], [10], [10], [6, 7], [5, 8], [9], [6, 8], [6, 8], [10], [8], [8], [6, 8], [7, 7]]
[[6, 8], [6, 8], [8], [9], [8], [8], [8], [9], [10], [10], [9], [8], [6, 6], [9], [8], [9], [8], [10], [10], [10], [10], [5, 8], [10], [7, 7], [10], [5, 8], [8], [5, 9], [5, 9], [6, 6], [7, 7], [10]]
[[5, 8], [10], [5, 8], [8], [8], [8], [9], [10], [10], [9], [6], [8], [10], [9], [7, 7], [9], [9], [10], [10], [6, 6], [5, 8], [6, 6], [10], [10], [8], [10], [8], [9], [6, 8], [5, 8], [7, 7], [9], [8]]
[[6, 7], [8], [9], [10], [10], [5, 8], [8], [10], [5, 7], [10], [9], [6, 6], [10], [9], [8], [10], [8], [10], [7], [9], [10], [8], [8], [6, 6], [6, 7], [9], [9], [8], [10], [9], [8], [8], [5, 8], [5, 8]]
[[10], [5, 8], [8], [8], [9], [8], [9], [7], [8], [9], [10], [8], [10], [6, 6], [9], [7], [10], [10], [7], [8], [8], [10], [10], [8], [5, 6], [10], [8], [5, 8], [10], [6, 6], [9], [6, 7], [9], [9], [5, 8]]
[[5, 8], [10], [6, 6], [8], [9], [8], [8], [8], [9], [10], [10], [9], [5, 7], [7], [8], [8], [5, 5], [10], [10], [8], [7], [10], [10], [6, 6], [10], [8], [6, 6], [10], [7], [9], [9], [9], [8], [8], [9], [8]]
[[5, 7], [8], [8], [8], [8], [8], [8], [8], [6, 6], [10], [8], [7], [10], [8], [10], [6, 6], [9], [9], [5, 5], [7], [10], [], [10], [5, 7], [9], [9], [8], [6, 6], [10], [10], [9], [10], [9], [8], [10], [9], [8]]
[[10], [8], [5, 7], [8], [8], [9], [9], [6, 6], [5, 5], [10], [7], [9], [10], [10], [], [8], [9], [8], [], [6, 6], [6, 6], [7], [8], [10], [9], [8], [10], [10], [8], [8], [9], [9], [8], [10], [10], [8], [5, 7], [8]]
[[8], [8], [7], [8], [7], [10], [10], [9], [8], [10], [9], [6, 6], [5, 5], [10], [8], [7], [], [8], [5, 7], [6, 6], [8], [10], [], [9], [10], [10], [10], [8], [9], [8], [6], [10], [8], [5, 6], [9], [9], [9], [8], [8]]
[[8], [8], [8], [5, 5], [8], [7], [8], [8], [8], [6, 6], [6, 6], [6, 6], [7], [10], [10], [10], [], [8], [7], [9], [9], [5], [10], [10], [9], [10], [10], [10], [9], [10], [], [7], [5], [8], [9], [8], [8], [9], [9], [8]]
[[5, 5], [8], [8], [8], [8], [8], [], [10], [8], [5], [7], [], [10], [], [8], [10], [8], [6, 6], [8], [10], [10], [], [6, 6], [9], [9], [10], [9], [10], [6, 6], [8], [9], [9], [8], [9], [9], [10], [10], [7], [7], [5, 7], [8]]
[[6], [8], [8], [8], [8], [], [8], [8], [10], [9], [10], [10], [5, 5], [8], [8], [6], [7], [7], [8], [9], [10], [6], [9], [7], [], [8], [10], [8], [10], [9], [9], [6], [7], [6], [10], [9], [10], [9], [5, 5], [6], [10], [8]]
-EndAllocation

Instance: [[1], [332], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10], [3, 3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10]]
[[3, 3, 4, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 4, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 4, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9]]
[[3, 3, 4, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10], [10]]
[[3, 3, 4, 9, 9, 9, 9, 9, 9], [8, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10]]
[[3, 3, 4, 9, 9], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 8, 8], [], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[3, 3, 4, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10], [7, 7, 7, 7, 7, 10], [7, 10, 10, 10, 10], [], [9, 9, 9, 9], [8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[3, 3, 7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8], [4, 7]]
[[3, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [7], [6, 6, 6, 6, 6, 6], [10, 10], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [3, 7, 7, 7, 7, 7]]
[[3, 3, 4, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8], [9, 9, 9, 9], [], [10, 10, 10], [10], [7, 7, 7, 7, 7], [8, 8, 8, 8], [7, 10, 10, 10]]
[[3, 3, 4, 6, 8, 10], [6, 6, 6, 6, 6], [9, 9], [8, 8, 8, 8], [], [7, 7], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [10, 10, 10]]
[[3, 3, 4, 6, 8], [], [10, 10, 10], [], [10, 10, 10], [10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7, 7, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[3, 3, 8, 8, 8], [9, 9, 9], [10, 10, 10], [], [9, 9], [], [10], [9, 9, 9], [8, 8, 8], [4, 6, 7, 7], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[3, 3, 10, 10], [8, 8, 8], [], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 10], [9, 9, 10], [], [10, 10], [9, 9, 9], [4, 7, 7]]
[[8, 8, 8], [10, 10], [], [6, 6, 9], [10, 10], [10, 10], [9, 9], [9, 9], [8, 8, 8], [3, 3, 4, 9], [8, 8, 8], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9], [7, 7, 7]]
[[8, 8, 8], [6, 6, 8], [9, 9], [9, 9], [8], [10, 10], [6, 6, 6, 6], [9, 9], [10, 10], [3, 3, 4, 8], [8, 8, 8], [7, 7, 7], [10, 10], [7, 7, 7], [], [10, 10], [10, 10], [9, 9]]
[[3, 3, 4, 8], [], [9, 9], [], [8, 8], [10, 10], [6, 6, 6, 6], [9, 9], [10, 10], [6, 6, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [9], [7, 7, 7]]
[[3, 3, 4, 9], [], [10, 10], [10, 10], [9, 9], [7, 7, 7], [8, 8], [7, 7, 7], [8], [8, 8], [6, 6, 6], [9, 9], [10, 10], [9], [9, 9], [6, 6, 6], [10, 10], [8, 8], [8, 8], [10, 10]]
[[3, 3, 4, 8], [8, 8], [10, 10], [9, 9], [9, 9], [7, 7, 7], [10, 10], [10, 10], [], [8, 8], [7, 7, 7], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [], [8, 8], [], [10, 10], [9, 9], [8, 8]]
[[3, 3, 4, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [7, 7, 7], [8, 8], [6, 6, 6], [6, 6, 6], [10, 10], [8, 8], [10, 10], [9, 9], [], [9, 9], [9, 9], [10, 10], [7, 7, 7], [], [9, 9]]
[[3, 8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [7, 7], [7, 7], [10, 10], [3, 4], [9, 9], [7, 7], [8, 8], [], [10, 10], [8], [8, 8], [10, 10], [9, 9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[3, 3, 4, 6], [7, 10], [9, 9], [7, 7], [10], [9, 9], [8, 8], [9, 9], [8, 8], [8, 8], [6, 6, 6], [10], [8, 8], [6, 10], [6, 10], [8, 10], [10], [], [], [7, 10], [10], [9, 9], [10], [7, 7]]
[[8, 8], [9, 9], [7, 10], [9, 9], [10], [10], [9, 9], [9, 9], [8, 8], [8, 8], [8, 8], [3, 3, 6, 6], [4, 6], [8], [], [7, 10], [10], [6, 6, 6], [7, 7], [10], [10], [10], [7, 7], [10], [10]]
[[8, 8], [10], [8], [9], [10], [8, 8], [9], [7, 10], [9], [6, 9], [8, 8], [3, 3, 7], [6, 10], [7, 10], [4, 6, 7], [9], [10], [6, 9], [10], [6, 10], [9], [7, 7], [6, 9], [10], [8, 8], [10]]
[[8, 8], [9], [7, 10], [10], [10], [10], [6, 9], [8, 8], [8], [8, 8], [6, 9], [7, 9], [3, 3, 4], [7, 7], [6, 10], [9], [10], [10], [8, 8], [9], [10], [9], [6, 6], [9], [7, 7], [10], [6, 10]]
[[3, 3, 4, 6], [8, 8], [10], [8, 8], [10], [10], [7, 7], [9], [7, 9], [], [10], [6, 6], [8, 8], [10], [10], [10], [9], [7, 7], [8], [6, 10], [6, 10], [9], [9], [7, 9], [6, 9], [9], [10], [8, 8]]
[[8, 8], [10], [7, 9], [], [10], [9], [9], [6, 6], [8, 8], [10], [10], [8, 8], [8], [10], [10], [10], [10], [7, 7], [9], [6, 6], [9], [10], [7, 7], [8, 8], [9], [6, 9], [7, 9], [6, 10], [3, 3, 4]]
[[3, 3, 9], [8, 8], [4, 10], [6, 9], [6, 9], [6, 9], [], [10], [], [8, 8], [], [7, 7], [7, 7], [9], [8], [10], [8, 8], [7, 7], [10], [9], [9], [8, 8], [9], [10], [6, 6], [10], [10], [10], [10], [6, 10]]
[[3, 10], [4, 8], [3, 9], [6, 8], [7, 7], [9], [9], [7, 7], [9], [6, 8], [6, 6], [6, 8], [10], [10], [10], [8], [10], [10], [10], [8], [8], [9], [9], [6, 8], [10], [8], [9], [9], [10], [10], [7, 7]]
[[3, 9], [4, 10], [9], [10], [6, 8], [8], [7, 7], [9], [9], [8], [9], [10], [6, 6], [8], [10], [10], [8], [10], [10], [7, 7], [10], [9], [10], [], [6, 8], [6, 8], [3, 10], [9], [9], [8], [7, 7], [6, 8]]
[[3, 9], [4, 8], [6, 8], [6, 8], [6, 6], [3, 9], [10], [8], [10], [10], [10], [8], [9], [7, 7], [7, 7], [10], [9], [9], [8], [10], [8], [6, 6], [], [10], [8], [9], [9], [10], [10], [8], [7, 7], [10], [9]]
[[3, 3, 7], [10], [4, 8], [10], [10], [6, 7], [6, 7], [10], [10], [10], [10], [6, 7], [8], [10], [9], [6, 7], [9], [9], [8], [9], [8], [9], [9], [10], [10], [6, 7], [8], [8], [8], [9], [8], [9], [8], [6]]
[[3, 3, 4], [8], [8], [6, 7], [9], [10], [9], [9], [6, 7], [8], [9], [10], [9], [9], [8], [10], [6, 7], [6, 7], [8], [10], [10], [7], [10], [10], [6, 6], [8], [8], [8], [10], [9], [9], [10], [10], [8], [7]]
[[3, 9], [4, 9], [3, 10], [8], [10], [9], [6, 7], [8], [9], [10], [7], [9], [10], [7], [10], [8], [], [7], [10], [9], [8], [8], [10], [6, 6], [10], [8], [6, 6], [10], [8], [8], [9], [7], [6, 7], [8], [9], [10]]
[[3, 8], [4, 7], [8], [8], [8], [7], [7], [], [6, 6], [8], [10], [7], [10], [6, 6], [10], [8], [9], [9], [9], [10], [10], [7], [10], [10], [9], [9], [8], [6, 6], [10], [7], [9], [10], [9], [8], [10], [9], [3, 8]]
[[3, 3, 4], [8], [8], [7], [8], [9], [7], [8], [10], [7], [6, 6], [9], [10], [10], [], [8], [7], [10], [10], [6, 6], [6, 6], [8], [9], [10], [9], [10], [7], [9], [7], [10], [9], [9], [8], [10], [10], [8], [9], [8]]
[[4, 8], [3, 3], [8], [7], [8], [10], [10], [9], [8], [10], [6, 6], [6, 6], [7], [10], [], [9], [7], [8], [7], [6, 6], [8], [10], [7], [10], [10], [9], [10], [8], [9], [8], [7], [10], [9], [8], [9], [9], [9], [10], []]
[[3, 3, 4], [10], [8], [8], [7], [8], [8], [7], [7], [6, 6], [], [6, 6], [6, 6], [10], [10], [10], [9], [], [8], [9], [9], [], [10], [10], [9], [10], [10], [10], [9], [10], [8], [7], [7], [8], [8], [7], [9], [9], [9], [8]]
[[3, 8], [4, 7], [3, 8], [8], [7], [8], [7], [10], [], [], [7], [6, 6], [10], [], [10], [10], [], [6, 6], [8], [10], [10], [10], [6, 6], [9], [9], [10], [9], [10], [7], [8], [9], [9], [8], [], [9], [8], [10], [9], [8], [9], [7]]
[[3, 3, 4], [9], [6], [6], [8], [], [8], [8], [10], [9], [10], [10], [], [8], [8], [7], [7], [7], [8], [9], [10], [6], [9], [7], [6], [8], [10], [8], [10], [7], [7], [6], [9], [10], [6], [9], [10], [9], [10], [9], [10], [8]]
-EndAllocation

Instance: [[1], [331], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9], [5, 5, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 10], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10], [5, 5, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 8]]
[[4, 4, 5, 5, 6, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10], []]
[[4, 4, 9, 9, 9, 9, 9, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 9, 9]]
[[4, 4, 5, 9], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [5, 10, 10, 10, 10, 10], [7, 7, 7, 7]]
[[4, 4, 7, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9], [7, 7, 7, 8, 8, 8], [10, 10, 10, 10], [], [5, 5, 10], [8, 8, 9, 9, 9], [8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10]]
[[4, 4, 7, 7, 7, 7], [8, 8, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9], [9, 9], [6, 6, 6, 6, 6, 6], [5, 5], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9], [], [], [6, 6, 6, 6, 6, 6], [5, 5, 8, 10, 10], [9, 9, 9, 9], [10, 10, 10, 10], [4, 4, 10, 10, 10], [7, 7, 7, 7, 8]]
[[4, 4, 5, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [], [10, 10, 10], [], [7, 7, 7, 7, 8], [5, 8, 8, 8, 8], [10, 10, 10]]
[[8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [], [], [10, 10, 10], [9, 9], [6, 7, 7, 7, 7], [4, 4, 5, 5, 8, 8], [8, 8, 9, 9], [10, 10, 10], [10, 10, 10]]
[[4, 4, 5, 5, 10], [8, 9], [9, 10, 10], [9], [10, 10], [6, 6, 9], [9, 10, 10], [10, 10], [8, 8, 8, 8], [9], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 9], [6, 6, 6, 6, 8]]
[[4, 8, 8, 8], [9, 9, 9], [10, 10, 10], [], [5, 5, 9], [], [], [9, 9, 9], [6, 8, 8, 8], [4, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[4, 4, 8, 8], [5, 5, 8, 10], [6, 6, 10], [6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [9], [10], [8, 8], [8, 8], [8, 10, 10], [8, 8, 10], [8, 8, 10], [10], [9, 9, 9], [10]]
[[8, 8, 8], [9, 9], [], [6, 9], [6, 10, 10], [10, 10], [10], [8, 8, 8], [8, 8, 8], [4, 4, 9, 9], [8, 8, 8], [5, 7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [5, 9, 9], [7]]
[[8, 8, 8], [8, 8, 8], [9, 9], [7, 9, 9], [6], [10, 10], [6, 6, 6, 6], [6, 9, 9], [10], [8, 8, 8], [4, 4, 5, 5], [8, 8, 8], [10, 10], [7, 7, 7], [], [10, 10], [10, 10], [9]]
[[8, 8, 8], [], [9, 9], [], [8, 8, 8], [9, 9], [6, 6, 6, 6], [6, 9, 9], [4, 4, 5, 5, 6], [9, 10], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [], [7]]
[[4, 8, 8], [7], [8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8], [10], [5, 8, 8], [5, 8, 8], [4, 6, 6, 6], [9, 9], [10, 10], [], [9], [6, 6, 6], [10, 10], [8, 8], [10, 10], [9, 9]]
[[4, 4, 5, 8], [8, 8], [9], [9, 9], [9, 9], [10, 10], [8, 10], [10, 10], [8, 8], [5, 8, 8], [7, 7, 7], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [7], [8, 8], [], [10, 10], [], [8, 8]]
[[4, 4, 5, 8], [8, 8], [], [10, 10], [7], [10, 10], [8, 8], [9], [5, 8, 8], [6, 6, 8], [6, 8], [10], [8, 8], [10, 10], [9, 9], [8], [6, 6, 6], [9, 9], [10, 10], [7, 7, 7], [], [9, 9]]
[[4, 8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [], [7, 7], [9, 9], [8, 8], [4, 5, 5], [7, 10], [8, 8], [7], [10, 10], [8, 8], [8, 8], [10, 10], [9], [], [], [6, 6, 6], [10, 10], [6, 6, 6]]
[[4, 4, 5, 5], [10], [8, 10], [7, 7], [9, 9], [9, 9], [8, 8], [9, 9], [8, 10], [8, 8], [6, 6, 6], [10], [8, 8], [8, 10], [6, 6, 6], [8, 10], [10], [], [8, 8], [10], [10], [9], [], [7, 7]]
[[8, 8], [6, 6, 6], [10], [9], [8, 10], [9, 9], [10], [9, 9], [8, 8], [8, 8], [8, 8], [4, 4, 5, 5], [8, 10], [8, 10], [], [10], [], [], [7, 7], [9, 9], [10], [10], [7, 7], [6, 6, 6], [8, 10]]
[[8, 8], [10], [9], [9], [6, 9], [8, 8], [8, 9], [8, 9], [8, 8], [8, 8], [4, 10], [7, 7], [5, 9], [5, 9], [4, 10], [6, 10], [10], [6, 6], [10], [6, 6], [10], [7, 7], [10], [], [8, 8], [10]]
[[8, 8], [9], [9], [8, 8], [9], [10], [10], [8, 8], [8, 8], [8, 8], [6, 9], [4, 4, 9], [5, 9], [7, 7], [10], [10], [10], [10], [10], [9], [5, 10], [], [6, 10], [8, 8], [7, 7], [6, 6], [6, 6]]
[[4, 10], [4, 8], [10], [8, 8], [7, 9], [5, 10], [8], [7], [9], [], [10], [6, 6], [8, 8], [10], [10], [9], [10], [7, 7], [8, 8], [9], [6, 6], [9], [10], [5, 10], [8, 8], [6, 9], [6, 9], [8, 8]]
[[8, 8], [6, 10], [5, 10], [8, 8], [6, 9], [4, 9], [6, 9], [4, 8], [8, 8], [8, 8], [10], [8, 8], [], [9], [], [], [10], [7, 7], [9], [6, 6], [9], [10], [7, 7], [9], [10], [10], [10], [6, 10], [5, 8]]
[[4, 10], [8, 8], [4, 9], [6, 6], [9], [10], [10], [10], [], [8, 8], [8, 8], [10], [7, 7], [], [8, 8], [], [8, 8], [7, 7], [6, 9], [10], [9], [8, 8], [9], [10], [6, 6], [9], [10], [10], [6, 9], [5, 5]]
[[4, 8], [4, 10], [6, 8], [5, 8], [9], [10], [9], [10], [6, 7], [6, 8], [8], [8], [9], [6, 8], [9], [10], [10], [10], [8], [7], [9], [10], [8], [10], [7, 7], [6, 8], [8], [9], [10], [6, 8], [5, 9]]
[[4, 4, 6], [8], [5, 7], [5, 9], [6, 8], [6, 8], [9], [9], [6, 8], [9], [8], [8], [10], [10], [10], [9], [6, 8], [7, 7], [10], [10], [9], [8], [8], [9], [10], [10], [10], [7], [6, 8], [10], [8], [8]]
[[6, 8], [6, 8], [6, 8], [4, 5, 5], [10], [8], [6, 8], [6, 6], [7], [9], [9], [10], [9], [10], [7, 7], [9], [9], [10], [9], [9], [10], [10], [4, 8], [8], [7], [8], [8], [10], [10], [8], [8], [8], [10]]
[[4, 8], [10], [9], [10], [10], [8], [5, 8], [10], [10], [9], [9], [9], [6], [9], [8], [10], [7], [6, 7], [9], [8], [8], [8], [8], [6, 6], [6, 7], [10], [10], [6, 7], [10], [8], [8], [8], [4, 9], [5, 8]]
[[4, 8], [4, 8], [5, 8], [10], [10], [8], [5, 7], [8], [8], [10], [9], [8], [8], [8], [6, 6], [8], [7], [9], [9], [10], [6], [9], [6], [6, 7], [9], [10], [10], [10], [10], [6, 7], [8], [9], [10], [8], [9]]
[[4, 8], [10], [4, 7], [9], [5, 7], [], [9], [9], [9], [7], [8], [8], [10], [7], [10], [10], [5, 8], [6, 6], [10], [9], [8], [8], [10], [6, 6], [10], [8], [6, 6], [8], [9], [8], [8], [9], [8], [8], [10], [10]]
[[4, 6], [5, 7], [8], [7], [10], [10], [10], [5, 7], [9], [10], [9], [10], [9], [10], [9], [10], [8], [9], [8], [10], [9], [7], [8], [8], [9], [8], [8], [8], [8], [8], [6], [6], [4, 8], [10], [6], [8], [6, 6]]
[[4, 8], [8], [8], [5, 7], [8], [9], [5, 7], [8], [10], [8], [8], [], [7], [10], [], [9], [], [9], [9], [6, 6], [6, 6], [10], [8], [10], [9], [8], [10], [10], [7], [10], [9], [9], [8], [10], [10], [8], [4, 8], [6, 6]]
[[9], [4, 8], [4, 6], [8], [8], [7], [10], [6], [], [10], [], [7], [5, 5], [10], [8], [9], [7], [8], [7], [6, 6], [8], [10], [9], [10], [10], [10], [8], [8], [9], [8], [8], [10], [8], [6, 6], [9], [9], [9], [10], [8]]
[[4, 8], [4, 7], [8], [8], [7], [8], [8], [], [8], [6, 6], [6, 6], [], [6, 6], [], [10], [10], [], [8], [7], [9], [9], [5, 5], [10], [9], [9], [10], [10], [10], [9], [10], [10], [10], [8], [8], [8], [8], [8], [9], [9], [7]]
[[9], [4, 7], [4, 8], [8], [5, 6], [10], [6], [10], [], [10], [9], [10], [10], [10], [9], [], [], [9], [10], [10], [6], [7], [6], [6], [8], [10], [8], [8], [8], [8], [8], [8], [9], [9], [8], [7], [8], [6], [9], [8], [5, 7]]
[[4, 6], [8], [8], [8], [8], [4], [8], [8], [10], [9], [10], [10], [5, 5], [8], [8], [6], [7], [7], [8], [9], [10], [6], [9], [], [6], [8], [10], [8], [], [7], [9], [6], [6], [7], [10], [9], [10], [9], [9], [10], [10], [8]]
-EndAllocation

Instance: [[1], [330], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [220, 146, 110, 88, 73, 64, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [165, 110, 83, 66, 55, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 9], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 8, 9], [9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [], [7, 7, 7, 7, 9, 9, 9, 9, 9], [8, 8, 8, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 5, 10]]
[[10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 5], [10, 10, 10, 10]]
[[8, 9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 5, 5], [8, 8, 8, 8, 8], [8, 9], [10, 10, 10]]
[[5, 8, 8, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7], [], [], [6, 6, 6, 6, 6, 6], [5, 5, 10, 10, 10], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[7, 7, 7, 7, 8], [9, 9, 9, 9], [], [10, 10, 10], [], [8, 8, 8, 9], [10, 10, 10], [10, 10, 10], [5, 5, 5, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[5, 5, 8, 8, 8], [6, 9, 9], [9, 9, 9], [8, 8, 8], [8, 8, 8], [], [10, 10, 10], [10, 10], [5, 7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10]]
[[8, 8, 8, 8], [], [10, 10, 10], [], [5, 5, 10, 10], [6], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [5, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[8, 8, 10], [8, 9, 9], [8, 10, 10], [], [8, 8, 10], [6, 6, 10], [5, 5, 5, 8], [6, 10, 10], [9, 9, 9], [8], [6, 6, 6, 8], [8, 10, 10], [8], [8, 10, 10], [7, 7, 7, 7]]
[[8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10], [6, 6], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [5, 5, 5, 10], [10, 10], [], [7, 7, 7, 7]]
[[8, 8, 8], [10], [], [10, 10], [10, 10], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [7, 7, 7], [8, 8, 8], [5, 5, 5, 9], [10, 10], [10, 10], [6, 6, 6, 6], [9, 9], [6, 6, 7]]
[[8, 8, 8], [8, 8, 8], [9, 9], [5, 5, 5, 6], [10, 10], [10, 10], [6, 6, 6, 6], [7, 9], [10, 10], [8, 8, 8], [6, 8, 8], [8, 10], [10, 10], [7, 7, 7], [], [10, 10], [9, 9], []]
[[8, 8, 8], [6, 6], [9, 9], [7, 10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [10, 10], [5, 5, 5], [8, 8, 8], [10, 10], [], [7, 7, 7]]
[[8, 8], [10, 10], [8, 8], [10, 10], [9], [7, 7, 7], [8, 8], [7, 10], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [5, 5, 5], [9, 9], [6, 6, 6], [10, 10], [8, 8], [], [6, 6, 6]]
[[5, 8, 8], [6, 6, 6], [8, 8], [6, 6, 6], [9, 10], [5, 5, 7], [10], [7, 7, 7], [8, 8], [9, 10], [9, 9], [8, 10], [10, 10], [8, 10], [8, 10], [8, 10], [9, 10], [], [10], [], [8, 8]]
[[8, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [7, 7], [8, 10], [6, 6, 6], [8, 8], [8, 10], [10, 10], [8, 10], [8], [9], [6, 6, 6], [9, 9], [10, 10], [7, 7], [5, 5, 5], [9, 9]]
[[8, 8], [6, 6, 6], [8, 8], [9, 9], [6, 6, 6], [10], [7, 7], [9, 9], [8, 8], [10, 10], [7, 7], [8, 8], [5, 5, 5], [10, 10], [8, 8], [8, 8], [10, 10], [9], [], [], [], [10, 10], [10, 10]]
[[8, 10], [], [10], [7, 7], [10], [9, 9], [8, 8], [8, 9], [8, 8], [8, 8], [6, 6, 6], [10], [8, 8], [10], [6, 6, 6], [8, 10], [5, 5, 5], [10], [8, 10], [10], [10], [9, 9], [10], [7, 7]]
[[8, 8], [9], [8, 8], [9, 9], [8, 8], [10], [7, 10], [9, 9], [8, 8], [8, 8], [6, 6, 6], [6, 6, 6], [10], [8, 8], [10], [10], [], [10], [7, 10], [10], [10], [10], [7, 7], [5, 5, 5], [10]]
[[8, 8], [10], [6, 10], [9], [10], [8], [5, 5, 5], [6, 10], [8, 8], [8, 8], [6, 10], [7, 7], [8, 9], [8, 9], [8], [9], [9], [6, 10], [10], [10], [10], [7, 7], [10], [10], [8, 8], [6, 6]]
[[8, 8], [10], [], [8, 8], [10], [10], [6, 10], [8, 8], [5, 8], [5, 10], [6, 6], [8, 9], [8], [7, 7], [8], [8], [9], [10], [10], [9], [10], [5, 10], [6, 10], [6, 9], [7, 7], [6, 10], [8, 9]]
[[6, 10], [6, 10], [6, 10], [8], [9], [9], [7, 7], [], [7, 8], [8, 8], [8, 8], [6, 9], [10], [10], [10], [8], [8, 8], [8, 8], [10], [6, 10], [10], [10], [10], [5, 9], [6, 8], [], [5, 5], [7, 9]]
[[5, 10], [8, 8], [8, 8], [7, 7], [10], [9], [10], [], [7, 7], [10], [6, 10], [6, 8], [8, 8], [8, 8], [], [10], [6, 6], [8, 8], [10], [10], [10], [9], [6, 9], [8], [10], [10], [9], [9], [5, 5, 6]]
[[10], [8], [7, 7], [10], [6, 8], [5, 8], [10], [5, 9], [6, 8], [10], [10], [10], [9], [8], [9], [9], [10], [10], [6, 8], [10], [8], [8], [10], [10], [9], [6, 8], [6, 8], [6, 8], [7, 7], [5, 8]]
[[8], [5, 8], [10], [6, 7], [5, 8], [10], [10], [7, 7], [9], [10], [10], [10], [6, 8], [10], [10], [6, 8], [8], [10], [6, 8], [9], [10], [6, 8], [5, 8], [9], [8], [9], [9], [6, 8], [7], [8], [10]]
[[5, 8], [10], [8], [10], [6, 8], [8], [8], [9], [8], [10], [10], [9], [9], [10], [10], [6, 7], [10], [10], [9], [10], [10], [6, 8], [10], [8], [7, 7], [9], [8], [7], [6, 8], [6, 8], [6, 8], [5, 5]]
[[6, 7], [6, 7], [9], [10], [9], [10], [6, 6], [5, 8], [9], [9], [10], [10], [10], [10], [8], [5, 8], [5, 8], [8], [8], [10], [8], [9], [6, 7], [10], [10], [6, 7], [10], [10], [8], [8], [8], [8], [8]]
[[8], [5, 8], [10], [10], [10], [9], [8], [8], [10], [10], [6, 7], [10], [10], [7], [5, 8], [8], [6, 7], [10], [8], [6, 6], [9], [8], [9], [6], [10], [6, 7], [10], [8], [9], [10], [9], [5, 8], [8], [8]]
[[10], [8], [6, 7], [10], [7], [10], [5, 5], [6, 7], [8], [10], [9], [8], [8], [6, 6], [9], [8], [10], [9], [8], [8], [10], [8], [9], [8], [9], [6, 6], [8], [10], [8], [7], [10], [10], [10], [5, 8], [10]]
[[6, 7], [6, 6], [5, 8], [], [8], [8], [10], [6, 7], [8], [8], [9], [8], [9], [10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [8], [], [10], [6, 6], [7], [7], [8], [9], [9], [8], [8], [5, 8], [5, 8]]
[[5, 5], [8], [8], [8], [8], [5, 7], [8], [8], [6, 6], [10], [8], [8], [10], [8], [10], [6, 6], [8], [7], [9], [7], [10], [10], [10], [], [9], [9], [7], [6, 6], [10], [10], [9], [10], [9], [10], [10], [8], [8]]
[[10], [5, 7], [8], [8], [8], [], [6, 6], [6, 6], [9], [6, 6], [8], [10], [8], [], [8], [8], [10], [10], [5, 5], [9], [10], [10], [7], [10], [9], [10], [10], [8], [8], [10], [8], [9], [7], [7], [10], [8], [9], [8]]
[[5, 7], [8], [10], [8], [8], [10], [10], [8], [8], [10], [8], [6, 6], [5, 5], [10], [8], [], [], [9], [7], [10], [9], [], [10], [10], [8], [8], [10], [9], [10], [6, 6], [8], [9], [8], [9], [10], [7], [6, 6], [7], [8]]
[[8], [8], [8], [8], [5, 7], [9], [6, 6], [10], [9], [7], [7], [10], [10], [], [5, 5], [10], [10], [9], [8], [10], [], [6, 6], [], [], [8], [8], [10], [8], [8], [7], [6, 6], [8], [10], [10], [10], [9], [10], [9], [8], [8]]
[[8], [5], [8], [6, 6], [8], [8], [5, 5], [10], [8], [8], [7], [], [10], [], [10], [10], [8], [6, 6], [8], [10], [10], [10], [6, 6], [], [9], [10], [9], [10], [7], [8], [9], [9], [8], [], [9], [10], [10], [7], [7], [8], [8]]
[[10], [6], [8], [6], [7], [7], [8], [8], [10], [8], [10], [10], [9], [8], [7], [8], [8], [8], [8], [10], [5], [5], [9], [8], [9], [9], [6], [8], [8], [9], [6], [6], [5], [10], [10], [6], [10], [7], [10], [10], [10], []]
-EndAllocation

Instance: [[1], [329], 42]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,42. UB Alg: [220, 146, 110, 88, 73, 62, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [165, 110, 83, 66, 55, 47, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,42:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 6, 6, 6, 6, 6, 6, 6, 6, 9], [7, 7, 7, 7, 9, 9, 9, 9, 9], [8, 10, 10, 10], [5, 5, 5], [10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 6, 6, 6, 6, 10, 10], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 10], [4], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 10]]
[[6, 6, 6, 6, 6, 6, 8, 8], [4, 6, 6, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10], [8], [9, 9, 9, 9, 9, 9], [8, 8], [8, 8, 10, 10, 10, 10], [5, 5, 5, 8, 8, 10]]
[[4, 9, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5], [10, 10, 10, 10]]
[[4, 6, 9, 9, 9], [10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 5, 5], [8, 8, 8, 8, 8], [9, 9, 9], [10, 10, 10, 10]]
[[4, 8, 8, 9, 9], [6, 8, 8, 8, 8], [7, 7, 7, 7, 10], [], [], [6, 6, 6, 6, 6, 6], [5, 5, 5, 10], [9, 9, 9, 9], [10, 10, 10, 10], [6, 8, 8, 8, 8], [10, 10, 10, 10]]
[[7, 7, 7, 7], [6, 9, 9, 9], [6], [10, 10, 10], [], [8, 8, 8, 9], [10, 10, 10], [10, 10, 10], [5, 8, 8, 8, 8], [4, 5, 5, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 10]]
[[8, 8, 8, 8], [6, 6, 9, 9], [9, 9, 9], [8, 8, 8, 8], [], [10], [10, 10, 10], [5, 5, 5, 9], [7, 7, 7, 7], [4, 6, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10]]
[[8, 8, 8, 8], [], [10, 10, 10], [6, 6, 6], [5, 5, 10, 10], [], [5, 10, 10], [10, 10, 10], [8, 8, 8, 8], [4, 9, 9, 9], [7, 7, 7, 7], [8, 8], [9, 9, 9], [6, 6, 6, 6, 6]]
[[4, 8, 8, 8], [9, 9, 9], [10, 10], [], [8, 8, 8], [6, 10, 10], [10, 10], [5, 5, 8, 8], [9, 9, 9], [5, 6, 8, 8], [6, 6, 6, 10], [6, 6, 6, 10], [], [10, 10], [7, 7, 7, 7]]
[[4, 6, 6, 8], [8, 8, 8], [], [6, 6, 6, 6], [10, 10], [9, 9, 9], [6, 10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9, 9], [5, 5, 5], [6, 10, 10], [], [7, 7, 7, 7]]
[[8], [10, 10], [], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [4, 7, 7, 7], [8, 8, 8], [5, 5, 5, 10], [10], [10, 10], [6, 6, 6, 6], [9, 9], [7, 9, 9]]
[[8, 8, 8], [8, 8, 8], [9, 9], [5, 5, 5, 9], [10, 10], [10, 10], [4, 6, 6, 6], [6, 6, 9], [10, 10], [8, 8, 8], [6, 6, 8], [6], [10, 10], [7, 7, 7], [], [10, 10], [9, 9], [7]]
[[6, 8], [], [6, 6, 9], [4], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9], [10, 10], [6, 9, 9], [], [8, 8, 8], [10, 10], [10, 10], [5, 5, 5, 7], [8, 8, 8], [9], [10, 10], [7, 7, 7]]
[[5, 8, 8], [4], [8, 8], [10, 10], [9, 9], [7, 7, 7], [8, 8], [10, 10], [5, 5, 6, 6], [8, 8], [10, 10], [10, 10], [9, 9], [9, 9], [7], [6, 6, 6], [10, 10], [8, 8], [], [6, 6, 6]]
[[4, 8, 8], [8, 8], [], [6, 6, 6], [6, 6, 6], [5, 5, 5], [10, 10], [7, 7, 7], [8, 8], [8, 8], [9, 9], [6, 6], [10, 10], [9, 9], [10, 10], [7], [9, 9], [], [10, 10], [10, 10], [8, 8]]
[[4, 8, 8], [8, 8], [], [10, 10], [], [10, 10], [8, 8], [7, 7], [8, 8], [6, 6, 6], [8, 8], [10, 10], [6, 6], [10, 10], [], [9, 9], [6, 6, 6], [9, 9], [10, 10], [7, 7], [5, 5, 5], [9, 9]]
[[4, 8, 8], [6, 6, 6], [8, 8], [9, 9], [6, 6, 6], [7], [7, 7], [9, 9], [8, 8], [10, 10], [6, 6, 7], [8, 8], [5, 5, 5], [10, 10], [], [8, 8], [10, 10], [9, 9], [], [], [], [10, 10], [10, 10]]
[[4, 10], [7, 10], [10], [6, 6, 6], [10], [9, 9], [8, 8], [9, 9], [8, 8], [8, 8], [6, 6, 6], [6, 7], [8, 8], [10], [6, 10], [10], [5, 5, 5], [], [8, 8], [10], [10], [9, 9], [10], [7, 7]]
[[8, 8], [9, 9], [8, 8], [9, 9], [8, 8], [10], [10], [9], [8, 8], [4, 10], [6, 7], [6, 6, 6], [5, 5, 5], [8, 8], [], [10], [10], [10], [7, 9], [10], [6, 10], [10], [7, 7], [10], [6, 6, 6]]
[[8, 9], [6, 6], [8, 9], [10], [10], [8, 9], [8, 9], [10], [8, 8], [10], [10], [7, 7], [4, 6, 6], [6, 6], [6, 9], [8, 8], [8, 9], [10], [10], [10], [5, 5, 5], [7, 7], [6], [10], [10], [8]]
[[8, 8], [5, 5, 5], [10], [8, 8], [6, 10], [10], [6, 9], [8, 8], [8, 8], [8, 8], [4, 6, 6], [7, 9], [6, 9], [6, 7], [6, 10], [9], [10], [10], [], [9], [], [10], [6, 10], [9], [7, 7], [10], [10]]
[[8, 8], [4, 8], [6, 10], [7, 9], [10], [10], [10], [10], [9], [8], [10], [6, 6], [10], [9], [10], [5, 5, 5], [], [8, 8], [6, 9], [6, 9], [10], [8, 8], [7, 7], [10], [9], [6, 6], [6, 7], [8, 8]]
[[4, 10], [6, 10], [6, 10], [7, 7], [7, 9], [10], [9], [9], [7, 9], [10], [10], [6, 6], [10], [8, 8], [], [], [6, 6], [8, 8], [10], [10], [], [9], [5, 5, 5], [8, 8], [9], [6, 6], [8, 8], [10], [8, 8]]
[[4, 10], [5, 7], [8], [6, 8], [6, 8], [6, 8], [10], [10], [6, 8], [5, 7], [8], [8], [10], [10], [6, 8], [10], [9], [6, 6], [10], [10], [8], [10], [9], [9], [10], [9], [7, 7], [9], [6, 8], [5, 9]]
[[10], [9], [6, 8], [9], [6, 8], [7, 7], [9], [6, 8], [10], [5, 8], [10], [6, 8], [4], [10], [10], [8], [10], [10], [10], [5, 5], [7, 7], [6, 6], [6, 8], [9], [10], [8], [8], [9], [10], [6, 8], [9]]
[[10], [10], [10], [10], [10], [9], [8], [5, 8], [9], [6, 8], [7, 7], [6, 8], [4, 5, 5], [8], [10], [10], [9], [8], [8], [8], [8], [9], [10], [8], [7, 7], [6, 6], [9], [10], [9], [10], [6, 6], [6, 6]]
[[5, 8], [5, 8], [4, 9], [9], [10], [9], [10], [8], [10], [6, 7], [8], [8], [8], [10], [9], [6, 7], [6], [6, 6], [10], [8], [8], [5, 7], [6, 7], [10], [10], [10], [9], [8], [10], [10], [6, 6], [9], [8]]
[[10], [8], [7], [9], [10], [10], [9], [10], [5, 7], [8], [9], [8], [8], [9], [8], [8], [6, 7], [4, 8], [6, 6], [10], [5, 5], [10], [10], [6, 6], [9], [8], [8], [6, 6], [6, 7], [10], [10], [8], [10], [9]]
[[9], [10], [6, 7], [8], [6, 7], [8], [10], [9], [10], [5, 5], [6], [10], [8], [8], [8], [6, 6], [8], [8], [8], [6, 6], [10], [9], [10], [10], [9], [6, 7], [9], [7], [10], [], [10], [10], [4, 9], [8], [5, 8]]
[[10], [10], [8], [10], [8], [8], [6, 6], [6, 7], [9], [5, 5], [10], [9], [5, 8], [10], [8], [9], [6], [9], [10], [7], [7], [10], [9], [8], [8], [], [6, 6], [10], [10], [10], [8], [6, 6], [7], [8], [9], [4, 8]]
[[8], [4, 8], [6, 6], [5], [8], [7], [7], [8], [6, 6], [10], [10], [8], [7], [9], [5, 5], [7], [9], [9], [10], [8], [10], [8], [], [10], [10], [10], [8], [6, 6], [10], [10], [9], [10], [9], [9], [6, 6], [8], [8]]
[[8], [4, 8], [10], [8], [8], [10], [9], [8], [10], [10], [8], [10], [6, 6], [10], [8], [9], [6, 6], [6], [6], [8], [10], [9], [10], [10], [], [6, 6], [8], [10], [9], [7], [5, 7], [], [5, 7], [], [9], [8], [5, 7], [9]]
[[8], [8], [6, 6], [6, 6], [], [10], [8], [9], [9], [10], [8], [6, 6], [5, 5], [10], [8], [5], [], [9], [7], [10], [9], [], [10], [10], [7], [8], [8], [10], [7], [7], [10], [10], [4, 8], [9], [10], [9], [6, 6], [8], [8]]
[[8], [7], [8], [6, 6], [7], [9], [7], [4], [8], [6, 6], [6, 6], [], [6, 6], [10], [5], [10], [], [8], [8], [9], [9], [5, 5], [10], [9], [10], [10], [10], [10], [9], [10], [], [7], [10], [8], [10], [8], [8], [9], [8], [8]]
[[5, 5], [8], [8], [8], [6, 6], [8], [], [10], [4, 8], [6, 6], [7], [], [10], [], [10], [10], [8], [6, 6], [8], [10], [10], [8], [6, 6], [], [9], [10], [9], [10], [7], [8], [9], [9], [8], [], [9], [9], [10], [7], [10], [], [5, 7]]
[[8], [8], [8], [8], [8], [10], [6], [9], [6], [6], [10], [4, 6], [6], [10], [5, 5], [8], [9], [9], [10], [10], [10], [8], [9], [9], [7], [7], [], [6], [7], [9], [8], [], [8], [10], [10], [7], [10], [6], [5], [10], [6], [8]]
-EndAllocation

Instance: [[1], [344], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [229, 153, 114, 92, 77, 66, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [172, 115, 86, 69, 58, 50, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 4, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [5, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10]]
[[3, 4, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 9], [7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [3, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 10]]
[[3, 4, 5, 8, 8, 8, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 4, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 9, 9, 9, 9]]
[[3, 4, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [], [5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6]]
[[3, 4, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 9, 9, 9]]
[[3, 4, 8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9], [7, 7, 7, 7, 9, 9], [8, 8, 8, 8], [5], [10, 10, 10, 10], [10, 10], [10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7], [5, 8, 8, 10, 10], [4, 9, 9, 9, 9], [3]]
[[4, 8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [], [9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [3, 8, 8, 8, 8], [10, 10, 10], [5, 10]]
[[4, 10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [10, 10, 10], [], [10], [10, 10, 10], [3, 5, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8], [9, 9, 9, 9]]
[[8, 8, 8, 8], [5, 9, 9], [9, 9, 9], [], [10, 10, 10], [10, 10, 10], [10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [3, 4, 6, 10, 10], [9, 9, 9], [8, 8, 8, 8], [], [6, 6, 6, 6, 6]]
[[3, 4, 8, 8], [8, 8, 8], [9, 9, 9], [], [10, 10, 10], [6, 9, 9], [10, 10, 10], [9, 9, 9], [10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6], [8, 10], [8, 8, 8], [5], [7, 7, 7, 7]]
[[3, 4, 8, 8], [6, 10, 10], [6], [10, 10], [5, 10, 10], [10, 10], [9, 9], [6, 9, 9], [8, 8, 8], [8, 8, 8], [6, 8, 10], [9, 9, 10], [8, 8, 8], [6, 9, 9], [7, 7, 7, 7], [6]]
[[3, 4, 8, 8], [], [5, 10, 10], [8, 8, 8], [7, 7, 7, 7], [10, 10], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [8, 9, 9], [9, 9, 9], [10, 10], [], [6, 6], [9, 9, 9], [6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8], [9, 9], [9, 9], [], [10, 10], [9, 9], [5], [8, 8, 8], [3, 4, 10], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7], [6, 10, 10], [6, 10, 10], [9, 9], [7, 10], [10, 10]]
[[8, 8, 8], [], [8, 8, 8], [9, 9], [10, 10], [5, 10, 10], [10, 10], [7], [8, 8, 8], [3, 4, 9, 9], [7, 7, 7], [8, 8, 8], [6, 6], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [9, 9], []]
[[3, 4, 6, 8], [8, 8, 8], [9, 9], [], [10, 10], [9, 9], [10, 10], [6, 7, 8], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [10, 10], [5, 8], [10, 10], [9, 9], [], [7, 7, 7], [6, 6, 6, 6], []]
[[4, 8, 8], [10, 10], [8, 8], [10, 10], [9, 9], [10, 10], [3], [7, 7, 7], [8, 8], [9, 9], [8, 8], [9, 9], [5, 7], [6, 6, 6], [6, 6, 6], [10, 10], [8, 8], [], [9, 9], [8, 8], [10, 10]]
[[3, 8, 8], [9, 9], [9, 9], [10, 10], [9, 9], [9, 9], [8, 8], [8, 8], [8, 8], [4, 8, 8], [10, 10], [5], [7], [8, 8], [10, 10], [10, 10], [7, 7, 7], [], [6, 6, 6], [6, 6, 6], [], [10, 10]]
[[3, 8, 8], [5], [10, 10], [10, 10], [], [8, 8], [10, 10], [8, 8], [4, 8, 8], [8, 8], [9, 9], [8, 8], [6, 6, 6], [9, 9], [], [7, 7], [], [9, 9], [10, 10], [9, 9], [6, 6, 6], [10, 10], [7, 7]]
[[3, 8, 8], [6, 6, 6], [6, 6, 6], [8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [4, 8, 8], [7, 7], [5], [9, 9], [], [10, 10], [9, 9], [10, 10], [], [8, 8], [], [7, 7], [], [10, 10], [8, 8]]
[[8, 8], [5], [7, 7], [10], [8, 10], [7, 7], [10], [8, 8], [8, 8], [8, 8], [3, 4, 6], [6, 10], [6, 9], [8, 10], [10], [10], [9], [10], [9, 9], [6, 6, 6], [8, 8], [10], [10], [9, 9], [9, 9]]
[[8, 8], [9, 9], [8, 10], [8, 10], [8, 8], [7, 10], [10], [6, 6, 6], [8, 8], [8, 8], [3, 4, 10], [7, 7], [9, 9], [9, 9], [10], [5], [10], [], [8, 8], [], [], [9, 9], [7, 10], [10], [6, 6, 6], [10]]
[[8, 8], [7, 7], [3, 4, 8], [8, 9], [8, 9], [6, 9], [10], [10], [6, 10], [8, 9], [9], [10], [8, 8], [10], [7, 10], [5, 10], [10], [7, 10], [8, 8], [], [9], [], [6, 9], [10], [6, 9], [6, 6], [8, 8]]
[[8, 8], [8, 8], [6, 10], [3, 4, 9], [7, 7], [9], [10], [5], [6, 6], [8, 8], [10], [7, 7], [10], [10], [10], [10], [6, 9], [6, 6], [9], [10], [10], [9], [8, 8], [9], [8, 9], [10], [8, 9], [8, 8]]
[[3, 4, 9], [6, 10], [8, 8], [7, 8], [9], [8, 8], [10], [8], [10], [9], [10], [6, 10], [9], [10], [6, 6], [10], [10], [8, 8], [7, 7], [10], [6, 6], [5, 9], [8, 8], [8], [10], [9], [9], [9], [7, 8]]
[[8, 8], [8, 8], [3, 4, 9], [10], [9], [7, 7], [10], [6, 6], [10], [10], [10], [10], [10], [10], [9], [8], [8], [6, 6], [8, 8], [10], [9], [10], [5], [7, 7], [6, 9], [9], [9], [8, 8], [6, 9], [8, 8]]
[[3, 4, 9], [8, 8], [10], [9], [10], [10], [9], [10], [9], [8, 8], [], [7, 7], [8, 8], [9], [7, 7], [10], [10], [], [], [5, 9], [6, 10], [10], [10], [8, 8], [8, 8], [9], [10], [6, 9], [6, 6], [6, 6], [8, 8]]
[[6, 8], [3, 9], [4, 9], [8], [9], [10], [10], [6, 8], [7, 7], [10], [10], [6, 8], [10], [8], [9], [9], [10], [6, 8], [5, 8], [8], [6, 8], [9], [10], [10], [9], [6, 8], [10], [7, 7], [10], [8], [9], [8]]
[[3, 9], [4, 9], [6, 8], [10], [6, 8], [10], [8], [7, 7], [10], [10], [8], [10], [8], [5, 8], [7, 7], [8], [10], [10], [9], [8], [9], [9], [8], [10], [6, 6], [10], [9], [8], [10], [9], [6, 8], [9], [6, 8]]
[[3, 9], [9], [10], [10], [10], [10], [5, 9], [10], [10], [7, 7], [8], [10], [6, 6], [9], [9], [6, 8], [6, 8], [8], [8], [10], [9], [9], [8], [9], [8], [8], [8], [10], [8], [8], [7, 7], [6, 6], [8], [4, 10]]
[[3, 9], [8], [6, 7], [10], [8], [10], [6, 7], [9], [9], [8], [10], [10], [10], [10], [8], [8], [6, 7], [8], [8], [10], [6, 6], [8], [10], [8], [10], [9], [10], [9], [8], [9], [8], [5, 8], [4, 9], [6, 7], [9]]
[[3, 10], [8], [9], [8], [8], [10], [8], [8], [9], [8], [9], [8], [10], [8], [9], [6, 6], [10], [8], [5, 7], [10], [10], [6, 6], [10], [10], [10], [8], [9], [6, 7], [9], [10], [8], [8], [7], [9], [6, 7], [4, 9]]
[[6, 6], [10], [], [10], [10], [10], [4, 8], [10], [9], [10], [7], [8], [10], [9], [8], [6, 6], [8], [8], [8], [10], [8], [8], [8], [8], [6, 7], [9], [9], [9], [10], [9], [9], [9], [6, 7], [8], [10], [5, 7], [3, 8]]
[[4, 8], [8], [9], [9], [8], [7], [9], [8], [8], [5], [6, 6], [10], [10], [10], [6, 6], [10], [10], [10], [8], [10], [9], [9], [8], [7], [10], [10], [7], [10], [8], [8], [9], [9], [9], [8], [7], [6, 6], [8], [3, 8]]
[[4, 8], [8], [7], [7], [5], [8], [9], [10], [9], [10], [9], [], [8], [9], [8], [8], [10], [8], [7], [10], [7], [6, 6], [6, 6], [9], [6, 6], [10], [10], [10], [9], [10], [8], [9], [8], [9], [10], [8], [8], [10], [3, 8]]
[[4, 8], [8], [7], [8], [8], [6, 6], [8], [9], [10], [9], [10], [7], [8], [8], [9], [5], [10], [8], [8], [9], [8], [10], [], [], [9], [7], [10], [10], [10], [9], [6, 6], [8], [10], [10], [7], [6, 6], [9], [9], [10], [3, 8]]
[[8], [8], [8], [8], [8], [8], [10], [9], [8], [10], [10], [6, 6], [9], [6, 6], [10], [8], [9], [5], [6, 6], [7], [], [10], [10], [], [8], [], [8], [7], [10], [7], [9], [9], [7], [10], [10], [8], [9], [9], [10], [4, 8], [3, 9]]
[[6, 6], [8], [8], [8], [7], [10], [10], [8], [8], [7], [], [9], [9], [8], [9], [6, 6], [8], [8], [10], [8], [], [9], [], [9], [], [8], [10], [10], [5], [10], [10], [9], [7], [10], [8], [3, 9], [9], [6, 6], [10], [10], [8], [4, 7]]
[[3, 6], [8], [8], [8], [8], [10], [7], [8], [10], [7], [9], [9], [6], [10], [6], [9], [8], [7], [5], [9], [9], [10], [6], [8], [10], [10], [6], [], [10], [9], [8], [6], [9], [8], [10], [10], [8], [9], [7], [8], [8], [10], [4]]
-EndAllocation

Instance: [[1], [343], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [229, 153, 114, 92, 77, 65, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [172, 115, 86, 69, 58, 49, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6]]
[[], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 9, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [5, 5, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5], [10, 10, 10], [7, 7, 7, 7, 7, 7, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[6, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [], [8, 9, 9], [6, 6, 6, 6, 6, 8, 8, 8]]
[[9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [5, 5, 5, 9, 9, 9]]
[[6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [8], [], [10, 10, 10, 10], [9, 9, 9, 10], [10, 10, 10, 10]]
[[6, 6, 6, 6, 8, 8], [10], [8, 8, 8, 8, 10], [10], [9, 9, 9, 9], [9, 9, 9, 10], [8, 8, 8, 8, 10], [7, 7, 7, 7, 10], [5, 5, 5, 6, 6, 10], [10], [7, 7, 8, 9, 10]]
[[5, 5, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [7], [9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 8, 8, 8, 8], [10, 10, 10], []]
[[5, 5, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7], [], [10, 10, 10], [], [10, 10, 10], [10, 10, 10], [5, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9]]
[[5, 8, 8, 8], [7, 7], [9, 9, 9], [10], [10, 10, 10], [10, 10, 10], [9, 9], [6, 8, 8, 8], [5, 7, 7, 7, 7], [5, 8, 10, 10], [9, 9, 9], [8, 8, 8, 8], [], [6, 6, 6, 6, 6]]
[[5, 5, 8, 8], [8, 8, 8], [9], [9, 10, 10], [7, 7, 9], [9, 9, 9], [10, 10], [10, 10], [5, 10, 10], [6, 8, 8, 8], [6, 6, 6, 6, 6], [9, 10], [8, 8, 8], [9], [7, 7, 7, 7]]
[[5, 5, 8, 8], [6, 10, 10], [], [10], [9, 10, 10], [10, 10], [9, 9, 9], [9, 10, 10], [8, 8, 8], [5, 8, 8, 8], [6, 7, 7], [9, 9, 9], [8, 8, 8], [], [7, 7, 7, 7], [6, 6, 6, 6]]
[[8, 8, 8], [], [7, 7], [8, 8, 8], [7, 7, 7, 7], [10], [9, 9, 10], [6, 10, 10], [8, 8, 8], [8, 8], [9, 9, 9], [6, 10, 10], [5, 5, 5, 10], [10], [10], [9, 9, 9], [6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8], [9, 9], [9, 9], [], [10, 10], [9, 9], [10, 10], [8, 8, 8], [5, 5, 5, 10], [6, 6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [6, 6], [9, 9], [7, 7, 7], [10, 10]]
[[5, 8, 8], [7, 7, 7], [8, 8, 8], [10, 10], [10], [8, 8, 8], [], [6, 9, 9], [10, 10], [5, 5, 6, 9], [7, 7, 7], [8, 8, 8], [9], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [9, 9], []]
[[5, 5, 5, 8], [8, 8, 8], [6, 9, 9], [], [10, 10], [9, 9], [10, 10], [7, 7, 7], [8, 8, 8], [8, 10], [8, 8, 8], [9, 9], [10, 10], [], [10, 10], [9, 9], [6], [7, 7, 7], [6, 6, 6, 6], []]
[[5, 5, 8], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [], [7, 7, 7], [5, 8, 8], [9, 9], [8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [6, 6, 6], [], [8, 8], [8, 8], [9, 9], [8, 8], [10]]
[[5, 5, 8], [9, 9], [9, 9], [10, 10], [8, 8], [10, 10], [8, 8], [8, 8], [8, 8], [9, 9], [9, 9], [5], [7, 7, 7], [8, 8], [10], [10, 10], [7, 7, 7], [], [6, 6, 6], [6, 6, 6], [], [10, 10]]
[[8], [9, 9], [10, 10], [10, 10], [], [8, 8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [5, 5, 5], [8, 8], [6, 6, 6], [9, 9], [7, 7], [7, 7], [], [9, 9], [10], [9, 9], [10, 10], [10, 10], [7, 7]]
[[8, 8], [6, 6, 6], [6, 6, 7], [8, 8], [10], [9, 9], [9, 9], [10, 10], [8, 8], [6, 8], [5, 5, 7], [5], [9, 9], [], [10, 10], [9, 9], [10, 10], [10, 10], [8, 8], [], [7, 7], [], [7, 7], [8, 8]]
[[8, 8], [], [7, 10], [10], [8, 10], [7, 7], [10], [8, 8], [8, 8], [6, 8], [7, 7], [6, 10], [5, 5, 6], [8, 10], [9, 9], [5, 7], [], [10], [9, 9], [6, 6, 6], [8, 8], [10], [10], [9, 9], [9, 9]]
[[8, 8], [9, 9], [10], [8, 10], [8, 8], [7, 10], [9, 9], [6, 6, 6], [8, 8], [6, 6, 6], [], [7, 7], [9, 9], [10], [10], [5, 5, 5], [], [], [8, 8], [10], [7, 7], [9, 9], [7, 10], [10], [8, 8], [10]]
[[8, 9], [], [5, 9], [6, 10], [5, 5, 6], [7, 10], [6, 6], [8, 9], [8, 9], [10], [10], [8, 9], [10], [10], [10], [8, 9], [10], [7, 10], [8, 9], [8, 9], [8, 8], [], [], [8, 8], [7, 7], [6, 6], [7, 7]]
[[8, 8], [7, 10], [5, 9], [6, 10], [7, 7], [5, 9], [10], [10], [6, 6], [8, 8], [10], [7, 7], [10], [10], [9], [], [6, 9], [6, 6], [9], [9], [10], [9], [8, 8], [7], [8, 8], [5, 10], [8, 9], [8, 8]]
[[5, 9], [6, 10], [10], [7, 7], [10], [7, 9], [10], [8, 8], [9], [9], [9], [10], [7, 9], [10], [6, 6], [8], [8, 8], [9], [7, 7], [10], [6, 6], [8], [8, 8], [10], [8], [9], [8, 8], [10], [5, 5, 6]]
[[8, 8], [8, 8], [8, 8], [6, 10], [9], [7, 7], [9], [6, 6], [10], [10], [10], [6, 10], [9], [10], [7, 7], [9], [], [8, 8], [9], [9], [], [10], [5, 5, 5], [7, 7], [6, 9], [8, 8], [9], [10], [6, 10], [8]]
[[5, 5, 5], [8], [10], [7, 7], [8, 8], [9], [9], [], [], [8, 8], [], [7, 9], [8, 8], [9], [7, 7], [10], [10], [10], [10], [7, 9], [10], [9], [10], [8, 8], [9], [10], [6, 10], [6, 9], [6, 6], [6, 6], [8, 8]]
[[10], [6, 7], [9], [10], [5, 9], [7, 7], [5, 9], [9], [9], [10], [6, 7], [9], [6, 8], [7, 7], [6, 8], [10], [10], [6, 8], [10], [6, 8], [8], [8], [8], [9], [10], [8], [8], [9], [10], [10], [8], [5, 8]]
[[10], [6, 8], [10], [5, 8], [5, 9], [6, 8], [6, 8], [10], [10], [6, 8], [9], [7], [9], [7, 7], [10], [8], [9], [10], [8], [10], [8], [8], [8], [10], [7, 7], [8], [9], [9], [9], [6, 6], [5, 7], [9], [10]]
[[10], [5, 8], [10], [10], [6, 8], [5], [9], [10], [6, 8], [9], [8], [7, 7], [9], [8], [10], [6, 8], [8], [9], [9], [7], [8], [8], [10], [9], [10], [8], [9], [7, 7], [10], [5, 7], [9], [6, 6], [10], [6, 8]]
[[5, 8], [5, 8], [8], [9], [5, 8], [8], [10], [8], [9], [9], [10], [9], [8], [9], [8], [8], [9], [6, 7], [9], [10], [9], [6, 7], [6, 7], [10], [10], [8], [10], [10], [6, 7], [10], [7], [10], [6, 6], [7], [8]]
[[6, 7], [5, 5], [7], [9], [8], [8], [6, 7], [9], [9], [8], [7], [10], [6, 6], [10], [8], [8], [9], [9], [6, 7], [8], [10], [8], [10], [6, 7], [9], [10], [10], [9], [10], [10], [8], [5, 8], [8], [8], [9], [10]]
[[7], [9], [9], [9], [6, 7], [5, 7], [9], [9], [10], [8], [10], [10], [10], [10], [6, 7], [5, 8], [5, 8], [8], [10], [9], [10], [10], [10], [8], [8], [8], [9], [], [8], [8], [9], [6, 6], [6, 7], [6, 7], [8], [8], []]
[[10], [10], [5, 7], [8], [6, 7], [6, 7], [8], [10], [9], [7], [6, 6], [9], [9], [10], [6, 6], [7], [9], [8], [9], [9], [7], [9], [10], [8], [9], [8], [8], [8], [8], [10], [10], [], [5, 5], [10], [8], [8], [8], [10]]
[[5, 7], [5, 7], [8], [7], [6, 6], [8], [9], [9], [9], [10], [8], [8], [8], [9], [9], [8], [10], [8], [], [10], [7], [6, 6], [9], [10], [6, 6], [10], [10], [10], [9], [7], [8], [9], [8], [8], [10], [], [8], [10], [5, 7]]
[[8], [5, 7], [7], [], [8], [6, 6], [8], [8], [], [9], [10], [7], [8], [8], [9], [5, 5], [10], [6, 6], [10], [9], [8], [10], [10], [9], [9], [7], [10], [10], [10], [9], [6, 6], [7], [10], [8], [8], [8], [9], [9], [8], [7]]
[[5, 7], [8], [8], [9], [9], [8], [5, 7], [6], [8], [10], [], [8], [10], [9], [10], [8], [9], [10], [10], [10], [9], [6, 6], [10], [9], [9], [8], [9], [10], [10], [8], [8], [8], [5, 7], [6], [], [7], [7], [6, 6], [7], [], [8]]
[[10], [5, 7], [5, 7], [6, 6], [6, 6], [5], [10], [8], [8], [8], [8], [9], [8], [8], [8], [8], [9], [], [8], [9], [8], [8], [9], [9], [10], [7], [10], [], [6, 6], [10], [10], [9], [], [10], [7], [9], [9], [], [10], [10], [7], [7]]
[[9], [8], [8], [8], [8], [10], [9], [7], [10], [7], [9], [9], [6], [6], [6], [9], [8], [10], [5, 5], [9], [9], [10], [6], [8], [5], [10], [7], [6], [10], [], [8], [7], [10], [8], [10], [7], [6], [9], [7], [8], [8], [10], [8]]
-EndAllocation

Instance: [[1], [342], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 42, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 32, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5]]
[[6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 8], [10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[6], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10], [5, 5, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[6, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5], [8, 8, 8, 8, 8, 9], [6, 6, 6, 6, 6, 6]]
[[6, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8, 8, 8], [5, 5, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8], [], [5, 5, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [9, 9, 9]]
[[6, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 8, 8], [], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[6, 8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [], [9, 9, 9, 9], [10, 10], [9, 9, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [7, 10, 10, 10], [5, 5]]
[[6, 8, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [], [10, 10, 10], [], [7], [10, 10, 10], [5, 5, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9, 9]]
[[6, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [], [8, 8, 8, 8], [6, 10, 10], [5, 5, 9, 9], [6, 6, 6, 6, 6], [7, 7, 8, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [10, 10], []]
[[6, 8, 8, 8], [9, 9], [9, 9, 9], [], [10, 10], [9, 9, 9], [10, 10, 10], [10, 10, 10], [6, 8, 8, 8], [7, 7, 8, 8], [6, 6, 6, 6, 6], [], [5, 5, 8], [8, 8, 8], [7, 7, 7, 7]]
[[6, 8, 8], [10, 10], [9, 9], [10, 10], [10, 10], [5, 5, 10], [9, 9, 9], [6, 6, 8], [8, 8, 8], [8, 8, 8], [7, 7, 10], [9, 9, 9], [8, 8, 8], [], [7, 7, 7, 7], [6, 6, 6, 6]]
[[6, 8, 8], [], [5, 5, 7, 7], [8, 8, 8], [7, 7, 7, 7], [10, 10], [10, 10], [8, 8, 10], [8, 8, 8], [6, 6, 8, 8], [9, 9, 9], [9, 9], [10, 10], [10], [], [9, 9, 9], [6, 6, 6, 6]]
[[6, 8, 8], [8, 8, 8], [9, 9], [9, 9], [5, 5], [10, 10], [9, 9], [8], [8, 8, 8], [10, 10], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7], [10, 10], [6, 6], [9, 9], [7, 7, 7], [10, 10]]
[[6, 8, 8], [10, 10], [5, 5], [9, 9], [8, 8, 8], [8, 10], [6, 6, 10], [7, 7, 7], [8, 8, 8], [9, 9], [7, 7, 7], [8, 8, 8], [], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [9, 9], []]
[[6, 8, 8], [8, 8, 8], [9, 9], [10], [10, 10], [6, 9, 9], [8, 10], [7, 7, 7], [8, 8, 8], [9, 10], [8, 8, 8], [9, 9], [6, 10], [], [10, 10], [5, 5, 9], [], [7, 7, 7], [6, 6, 6, 6], []]
[[6, 8, 8], [10, 10], [8, 8], [10, 10], [9, 9], [10, 10], [], [7, 7, 7], [5, 8, 8], [9, 9], [5, 8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [6, 6, 6], [], [8, 8], [], [9, 9], [8, 8], [10, 10]]
[[6, 8], [9, 9], [9, 9], [], [9, 9], [8, 8], [8, 8], [8, 10], [8, 8], [8, 8], [9, 9], [5, 5, 10], [7, 7, 7], [8, 8], [10, 10], [10, 10], [7, 7, 7], [], [6, 6, 6], [6, 6, 6], [], [10, 10]]
[[6, 8], [5, 5], [10, 10], [10, 10], [9], [8, 8], [8, 9], [8, 8], [8, 8], [8, 8], [], [8, 8], [6, 6, 6], [9, 9], [7, 7], [7, 7], [], [9, 9], [10, 10], [9, 9], [6, 6, 6], [10, 10], [7, 7]]
[[6, 8], [6, 6, 6], [6, 6, 6], [8, 8], [10, 10], [9, 9], [9, 9], [8, 10], [8, 8], [8, 8], [7, 7], [5, 5], [9, 9], [], [10, 10], [9, 9], [10, 10], [10], [8, 8], [], [7, 7], [], [7, 7], [8, 8]]
[[6, 8], [5, 5], [7, 7], [10], [8, 8], [7, 7], [10], [8, 8], [10], [8, 8], [6, 6, 6], [6, 6, 6], [9, 9], [8, 10], [], [7, 7], [8, 8], [10], [9, 9], [10], [8, 8], [10], [10], [9, 9], [9, 9]]
[[8, 8], [9, 9], [8, 10], [], [8, 8], [7, 10], [6, 10], [6, 6, 6], [8, 8], [8, 8], [], [7, 7], [9, 9], [9, 9], [8, 10], [5, 5], [10], [], [8, 8], [], [7, 7], [9, 9], [7, 10], [10], [6, 6, 6], [10]]
[[6, 8], [8, 9], [10], [10], [6, 10], [9], [6, 6], [8, 8], [6, 10], [10], [], [5, 5], [8, 8], [8, 8], [7, 7], [10], [8, 9], [7, 7], [8, 8], [9], [10], [10], [9], [7, 9], [7, 9], [6, 6], [8, 9]]
[[8, 8], [7, 7], [7, 10], [], [7, 7], [8, 9], [10], [], [5, 9], [9], [6, 9], [6, 6], [6, 6], [7, 8], [8, 8], [9], [10], [10], [6, 9], [9], [10], [9], [8, 8], [10], [8, 8], [5, 10], [6, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 7], [8, 8], [9], [10], [10], [9], [6], [10], [6, 10], [], [10], [6, 6], [9], [9], [10], [7, 7], [5, 9], [6, 6], [10], [9], [7, 7], [8, 8], [6, 9], [5, 9], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [9], [7, 7], [], [6, 6], [6, 10], [10], [10], [10], [7, 9], [9], [6, 7], [], [], [6, 6], [9], [10], [9], [10], [5, 10], [7, 7], [6, 9], [8, 8], [5, 9], [10], [9], [8, 8]]
[[8, 8], [8, 8], [10], [7, 7], [8, 8], [6, 10], [6, 9], [10], [9], [8, 8], [], [7, 7], [8, 8], [9], [7, 7], [10], [10], [], [10], [5, 5], [10], [10], [9], [9], [9], [], [9], [6, 9], [6, 6], [6, 6], [8, 8]]
[[9], [5, 9], [6, 8], [6, 8], [10], [9], [10], [10], [8], [9], [7, 7], [7, 7], [10], [8], [6, 6], [9], [6, 8], [8], [10], [8], [5, 8], [10], [10], [8], [9], [6, 8], [9], [7, 7], [8], [6, 8], [9], [10]]
[[10], [10], [8], [8], [8], [9], [7, 7], [10], [5, 9], [10], [8], [9], [9], [8], [9], [6, 8], [10], [10], [7, 7], [9], [9], [5, 8], [8], [8], [6, 7], [8], [6, 8], [9], [10], [6, 8], [10], [6, 6], [6, 7]]
[[7, 7], [9], [9], [8], [10], [9], [10], [8], [8], [8], [], [6, 8], [6, 8], [9], [9], [5, 9], [9], [10], [10], [6, 6], [9], [8], [10], [7, 7], [10], [8], [8], [7, 7], [10], [5, 8], [8], [6, 6], [10], [6, 8]]
[[8], [9], [6, 7], [10], [9], [10], [8], [7], [8], [5, 8], [6, 7], [10], [8], [9], [8], [8], [6, 7], [8], [6, 7], [10], [9], [10], [10], [8], [10], [10], [9], [9], [9], [8], [6, 6], [5, 8], [6, 7], [9], [8]]
[[9], [5, 8], [9], [8], [6, 7], [10], [9], [7], [10], [10], [10], [8], [8], [10], [8], [9], [8], [9], [5, 8], [10], [9], [8], [10], [8], [9], [7], [7], [6, 7], [10], [8], [9], [8], [6, 6], [6, 6], [6, 7], [8]]
[[10], [8], [10], [8], [7], [8], [8], [8], [9], [6, 6], [6, 7], [10], [6, 6], [9], [8], [5, 5], [10], [9], [8], [9], [9], [10], [8], [10], [6, 7], [9], [10], [7], [8], [7], [8], [9], [6, 7], [10], [8], [8], [9]]
[[8], [8], [7], [8], [8], [7], [9], [8], [9], [5, 6], [6, 6], [10], [10], [7], [6, 6], [10], [7], [10], [9], [10], [9], [10], [9], [9], [10], [9], [7], [8], [8], [6, 6], [8], [8], [8], [9], [10], [8], [8], [5, 7]]
[[8], [7], [10], [7], [8], [8], [9], [10], [9], [8], [], [6, 6], [8], [9], [9], [9], [5, 7], [8], [6], [8], [7], [8], [6, 6], [8], [6, 6], [10], [7], [10], [10], [9], [10], [9], [8], [9], [10], [5, 7], [8], [10], [8]]
[[5, 6], [8], [7], [8], [8], [6, 6], [8], [7], [8], [7], [5], [8], [8], [9], [10], [6, 6], [9], [10], [], [10], [9], [7], [10], [10], [9], [8], [9], [7], [10], [8], [9], [8], [10], [8], [7], [6, 6], [9], [9], [10], [8]]
[[6, 6], [7], [7], [8], [9], [8], [7], [9], [8], [8], [10], [6, 6], [9], [6, 6], [10], [10], [8], [9], [5, 5], [7], [], [10], [10], [], [7], [6], [8], [10], [8], [8], [9], [9], [8], [10], [8], [8], [9], [9], [10], [8], [7]]
[[5, 5], [8], [7], [7], [7], [10], [10], [8], [7], [7], [8], [9], [9], [8], [9], [], [8], [8], [10], [6, 6], [], [9], [], [9], [8], [7], [10], [6], [6, 6], [10], [8], [9], [8], [10], [8], [9], [9], [8], [10], [10], [6, 6], [8]]
[[6], [8], [8], [8], [8], [10], [7], [9], [10], [6], [9], [9], [6], [10], [6], [9], [8], [9], [5, 5], [9], [9], [10], [6], [8], [], [10], [7], [10], [10], [10], [8], [7], [9], [8], [6], [7], [8], [7], [6], [8], [8], [7], [8]]
-EndAllocation

Instance: [[1], [341], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 41, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 31, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 10, 10], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10], [10], [5, 5, 5, 5, 7, 7, 7, 7, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9], [7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 10, 10, 10, 10], [9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 6, 6, 9], [8, 8, 10, 10, 10, 10], [9, 10, 10, 10, 10], [10], [10], [7, 7, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8, 9, 9]]
[[8, 8, 8, 8, 8, 8], [10], [6, 6, 6, 6, 6, 6, 6, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10], [10], [8, 8, 8, 8, 10], [5, 5, 5, 5, 9, 9]]
[[8, 8, 8, 8, 8], [7, 7, 7, 7, 10], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8], [5, 5, 5, 5, 10], [9, 10, 10, 10], [9, 10], [8, 8, 8, 8, 8]]
[[6, 9, 9, 9], [5, 5, 5, 5, 10, 10], [8, 8, 8, 8, 8], [], [10, 10, 10, 10], [10, 10, 10, 10], [], [7, 7, 7, 7, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[6, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 10], [8, 8, 8, 8], [10], [7, 7, 7, 7, 9], [], [5, 5, 5, 5, 9, 9], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10]]
[[5, 5, 5, 5, 8, 8], [6, 6, 6, 6, 6, 6], [8], [8, 8, 8, 8], [], [10, 10, 10], [7, 7, 7, 7], [10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [6, 10, 10, 10], [9, 9, 9, 9]]
[[10, 10, 10], [9], [7, 9, 9], [8, 8, 8, 8], [8, 8, 8], [10, 10, 10], [5, 5, 5, 6, 6, 6], [8, 8, 8, 8], [6, 6, 7, 7, 7], [], [5, 9, 9, 9], [10, 10, 10], [6, 6, 9, 10], []]
[[10, 10, 10], [9, 9], [8, 8, 8], [10, 10, 10], [10], [6, 6, 9, 9], [8, 8, 8], [5, 5, 5, 5, 9], [10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 9], [7, 7, 7, 7], [], [8, 8, 8], [9]]
[[5, 5, 5, 10], [6, 6, 6], [10], [10, 10], [9, 9, 9], [6, 10, 10], [9, 9, 9], [], [], [8, 8, 8], [8, 10, 10], [8, 8, 8], [8, 10, 10], [5, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 9]]
[[8, 8, 8], [], [5, 5, 5, 5, 7], [], [7, 7, 10], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [8, 8, 8], [9, 9, 9], [8, 8, 8], [7, 8, 10], [6, 6, 6, 8], [9, 9, 9], [9, 10], [10]]
[[10, 10], [10, 10], [6, 6, 6], [9, 9], [5, 5, 5, 9], [10, 10], [8, 8, 8], [], [], [6, 6, 6, 6], [9, 9], [8, 8, 8], [8, 8, 8], [7, 8, 8], [10, 10], [9, 9], [7, 7, 7], [5, 10, 10]]
[[8, 8, 8], [], [5, 5, 5, 5], [10, 10], [10, 10], [8, 10], [], [8, 9], [8, 8, 8], [6, 9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [6, 6, 10], [9, 9], [6, 6, 6, 6], [10, 10], [9, 9], [7]]
[[10, 10], [10, 10], [9, 9], [8, 8, 8], [10], [9, 9], [10, 10], [7, 8, 8], [8, 8, 8], [8, 8, 8], [9, 10], [6, 6, 6, 6], [7, 7, 7], [], [10, 10], [9, 9], [5, 5, 5, 5], [], [6, 6, 6], []]
[[7, 7, 7], [10, 10], [8, 8], [10, 10], [8, 8], [10, 10], [6, 8], [5, 5], [], [9, 9], [9, 9], [5, 5, 6, 6], [10, 10], [6, 6, 6], [], [8, 8], [6, 8, 8], [9, 9], [7, 9], [8, 8], [10, 10]]
[[6, 9], [9, 9], [9, 9], [], [7, 9], [9], [5, 5, 5, 5], [8, 8], [8, 8], [10, 10], [], [8, 8], [8, 8], [8, 8], [8, 10], [10, 10], [7, 7, 7], [10, 10], [6, 6, 6], [6, 6, 6], [10], [10, 10]]
[[5, 5, 5, 5], [9, 9], [10, 10], [8, 10], [], [10, 10], [8, 8], [7, 7], [7, 7], [], [9, 9], [8, 8], [8, 8], [6, 8], [8, 8], [6, 6, 6], [8], [10, 10], [9, 9], [9, 10], [6, 6, 6], [10, 10], []]
[[9, 9], [6, 8], [6, 6, 6], [], [10, 10], [9, 9], [9, 9], [8], [10, 10], [7, 7], [8, 8], [8, 8], [8, 8], [6, 6, 6], [8, 10], [8, 8], [10, 10], [], [10, 10], [], [9], [5, 5, 5, 5], [7, 7], [10]]
[[9], [5, 5, 5], [8, 10], [10], [10], [7, 7], [10], [], [8, 10], [6, 6, 6], [8, 8], [8, 8], [10], [8, 8], [8, 8], [6, 10], [5, 10], [10], [9, 9], [6, 6, 6], [7, 7], [8, 10], [], [9, 9], [9, 9]]
[[5, 10], [8, 10], [8, 8], [10], [8, 8], [6, 6, 6], [5, 9], [6, 6, 6], [8, 8], [7], [6, 8], [8, 8], [7, 7], [5, 10], [5, 10], [10], [10], [], [9, 9], [10], [9, 9], [], [7, 10], [9, 9], [8], [10]]
[[], [8, 9], [6, 9], [8, 9], [8, 8], [10], [7, 7], [8, 9], [7, 7], [10], [10], [5, 6, 6], [8, 9], [8, 8], [6, 6], [5, 5, 5], [10], [8, 9], [10], [10], [10], [10], [10], [9], [6, 6], [10], [8, 8]]
[[9], [8, 8], [7, 10], [8, 8], [8, 8], [10], [10], [9], [6, 6], [8, 8], [10], [7, 7], [7, 10], [6, 9], [9], [10], [5], [6, 6], [10], [10], [9], [9], [8, 8], [10], [6, 9], [6, 8], [5, 5, 5], [10]]
[[8, 8], [6, 6], [8, 8], [6, 9], [5, 10], [5, 5], [], [8, 8], [8, 8], [], [8], [6, 10], [9], [10], [10], [9], [7, 9], [10], [7, 7], [7, 9], [6, 6], [9], [8, 8], [10], [9], [5, 10], [6, 10], [10], [10]]
[[6, 8], [10], [10], [9], [10], [8, 8], [8], [6, 6], [6, 6], [5, 8], [10], [10], [7, 9], [10], [7, 7], [], [], [8, 8], [8, 8], [5, 5, 5], [10], [6, 10], [10], [7, 9], [6, 9], [8, 8], [9], [10], [9], [9]]
[[5, 8], [7, 7], [6, 8], [6, 8], [8], [10], [9], [10], [10], [6, 8], [9], [6, 8], [10], [10], [9], [6, 6], [5, 9], [9], [10], [8], [6, 8], [10], [8], [10], [10], [5, 8], [5, 9], [10], [7, 7], [8], [9]]
[[7, 7], [10], [10], [6, 6], [9], [9], [10], [9], [6, 8], [10], [10], [5, 8], [6, 8], [8], [10], [8], [9], [8], [10], [9], [5, 8], [10], [5, 8], [10], [8], [7, 7], [8], [9], [6, 6], [6, 8], [10], [5, 9]]
[[10], [9], [6, 8], [10], [5, 8], [7, 7], [10], [8], [9], [7, 7], [5, 8], [9], [10], [10], [6, 8], [8], [8], [9], [10], [8], [9], [5, 9], [8], [10], [10], [9], [10], [6, 8], [5, 8], [], [6, 6], [6, 6], [10]]
[[5, 9], [6, 6], [7, 7], [10], [9], [8], [6, 6], [10], [7, 7], [5, 8], [10], [10], [10], [9], [10], [5, 5], [9], [9], [6, 8], [9], [8], [9], [10], [8], [10], [8], [8], [], [6, 8], [10], [8], [6, 8], [10], [8]]
[[9], [8], [5, 8], [5, 8], [8], [8], [10], [8], [6, 7], [10], [9], [10], [8], [10], [6, 7], [9], [9], [10], [8], [9], [10], [7], [10], [8], [5, 8], [9], [10], [9], [6, 7], [], [5, 8], [6, 6], [10], [10], [6, 6]]
[[5, 8], [10], [8], [6, 6], [9], [10], [5, 7], [10], [10], [10], [9], [10], [9], [8], [8], [9], [10], [8], [5, 5], [6, 7], [9], [8], [8], [8], [8], [6], [9], [6, 7], [10], [10], [6], [8], [6, 7], [9], [10], [8]]
[[6, 6], [8], [], [5, 5], [5, 6], [8], [9], [6, 7], [5], [10], [10], [10], [9], [8], [8], [10], [10], [8], [8], [10], [9], [8], [8], [6, 7], [6, 7], [9], [10], [8], [8], [8], [9], [9], [6, 7], [10], [9], [10], [10]]
[[8], [9], [7], [10], [8], [10], [8], [8], [8], [5, 6], [8], [5, 6], [10], [8], [8], [10], [5, 5], [8], [7], [9], [7], [10], [10], [9], [9], [8], [10], [9], [10], [9], [6, 6], [6, 6], [10], [7], [9], [10], [8], [6]]
[[6], [8], [6, 6], [8], [], [5, 6], [9], [9], [5, 7], [8], [8], [8], [10], [10], [7], [9], [5, 7], [10], [7], [8], [9], [8], [8], [10], [10], [9], [10], [10], [10], [9], [10], [8], [9], [6, 6], [5, 6], [], [8], [8], [10]]
[[9], [7], [5, 5], [10], [8], [6, 6], [8], [8], [8], [8], [8], [8], [8], [9], [10], [6, 6], [6], [10], [8], [10], [9], [7], [], [7], [5, 5], [10], [6], [10], [10], [9], [6], [8], [10], [10], [9], [8], [7], [9], [10], [9]]
[[7], [7], [10], [], [9], [6], [9], [8], [8], [9], [8], [10], [9], [9], [8], [10], [7], [8], [8], [10], [9], [10], [6], [6], [10], [10], [5, 5], [8], [8], [5, 5], [8], [8], [10], [], [10], [10], [8], [6, 6], [6, 6], [7], [9]]
[[6, 6], [5, 5], [5, 5], [], [9], [9], [10], [8], [7], [7], [8], [8], [10], [9], [10], [8], [9], [8], [8], [8], [8], [8], [10], [6, 6], [10], [9], [10], [8], [6, 6], [], [10], [], [8], [10], [6], [9], [9], [7], [10], [7], [10], []]
[[6], [10], [9], [10], [10], [8], [8], [8], [8], [8], [8], [10], [10], [7], [6], [8], [9], [10], [], [9], [10], [8], [5, 5], [7], [9], [], [6], [9], [6], [10], [7], [6], [10], [5, 5], [10], [7], [8], [9], [6], [8], [8], [6], [9]]
-EndAllocation

Instance: [[1], [340], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [226, 152, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [170, 114, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 8, 8, 8, 8], [5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10], [5, 5, 5, 5, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9]]
[[5], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 10, 10, 10], [8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 9]]
[[5, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8], [9, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5, 5, 8, 8, 9], [8, 8, 8, 8, 8, 8, 8]]
[[5, 7, 7, 7], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7], [8, 8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9], [5, 5, 5, 5, 9, 9, 9]]
[[5, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8], [5, 5, 5, 5], [10, 10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 10]]
[[5, 8, 8, 8, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8], [5, 5, 5, 5], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10], [10, 10, 10, 10], []]
[[5, 8, 8, 8], [8, 10, 10, 10], [7, 7, 7, 7], [8, 10, 10, 10], [], [9, 9, 9, 9], [8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 8], [8, 8, 8, 8], [5, 5, 5, 5], [7, 10, 10, 10]]
[[5, 10, 10, 10], [], [8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [], [5, 5, 5, 5], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[5, 8, 8, 8], [5, 5, 5, 5, 7], [9, 9, 9], [], [10, 10, 10], [10, 10, 10], [9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [], [6, 6, 6, 6, 6]]
[[5, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8], [10, 10, 10], [9, 9], [10, 10, 10], [9, 9, 9], [5, 5, 5, 5, 7], [7, 7, 7, 7], [], [8, 8, 8], [], [8, 8, 8], [10, 10, 10]]
[[5, 8, 8, 8], [], [10, 10], [10], [9, 10, 10], [7, 7, 7, 7], [9, 9, 9], [10, 10], [8, 8, 8], [6, 8, 8], [9, 10, 10], [9, 9, 9], [8, 8, 8], [5, 5, 5, 5, 7], [], [6, 6, 6, 6]]
[[5, 8, 8], [10, 10], [7, 9, 9], [10], [7, 7, 7], [10, 10], [10, 10], [10, 10], [8, 8, 8], [5, 5, 5, 5, 6], [8, 8, 8], [9, 9], [], [8, 8, 8], [9, 9], [7, 9, 9], [6, 6, 6, 6]]
[[5, 5, 5, 5, 5], [10, 10], [8, 8, 8], [9, 9], [], [10, 10], [8, 8, 8], [8, 8], [6, 9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [9, 9], [10], [6, 6, 6, 6], [9, 9], [7, 7], [10, 10]]
[[5, 8, 8], [7, 7, 7], [5, 5, 5, 5], [10, 10], [10, 10], [8, 8, 8], [10], [6, 7, 7], [8, 8, 8], [9, 9], [9, 9], [8, 8, 8], [], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [9, 9], []]
[[5, 8], [10, 10], [9, 9], [10], [8, 8], [9, 9], [10, 10], [6, 8, 8], [6, 8, 8], [8, 8], [7, 7], [10, 10], [5, 5, 5, 5], [8, 8], [10, 10], [9, 9], [], [7, 7, 7], [6, 6, 6], [9, 9]]
[[5, 7, 7], [10], [8, 8], [5, 5, 5, 5], [9, 9], [10, 10], [8], [7, 7, 7], [8, 8], [9, 9], [8, 8], [9, 9], [10, 10], [10, 10], [6, 6, 6], [], [8, 8], [6, 6], [9, 9], [8, 8], [10, 10]]
[[5, 8], [9, 9], [9, 9], [9], [9, 9], [10], [8, 8], [8, 8], [8, 8], [8, 8], [10, 10], [5, 5, 5, 5], [7, 7], [8, 8], [10, 10], [10, 10], [7, 7, 7], [], [6, 6, 9], [6, 6, 6], [], [10, 10]]
[[5, 8], [5, 5, 5, 5], [10, 10], [10, 10], [], [8, 8], [7, 8], [7, 7], [8, 8], [8, 8], [10], [8, 8], [6, 6, 6], [9, 9], [], [9, 9], [], [9, 9], [10, 10], [9, 9], [6, 6, 8], [10, 10], [7, 7]]
[[5, 8], [6, 6], [6, 6, 6], [8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [8, 8], [7, 7], [5, 5, 5, 5], [9, 9], [], [10, 10], [9, 9], [10, 10], [], [8, 8], [], [7, 7], [], [7, 10], [8, 8]]
[[5, 8], [5, 5, 5], [7, 10], [10], [8, 10], [7, 7], [10], [8, 8], [8, 8], [8, 8], [6, 6], [7, 10], [9, 9], [8, 10], [], [7, 10], [5], [10], [9, 9], [6, 6, 6], [8, 8], [10], [], [9, 9], [9, 9]]
[[5, 8], [6, 10], [8, 10], [], [8, 8], [7, 10], [8, 10], [6, 6, 6], [9, 9], [8, 8], [6, 10], [7, 7], [9, 9], [9, 9], [7, 10], [5, 5, 5], [10], [5], [8, 8], [], [], [9, 9], [7, 10], [], [8, 8], [10]]
[[5, 8], [7, 9], [10], [10], [9], [10], [6, 6], [8, 8], [7, 10], [9], [10], [5, 6, 6], [8, 8], [10], [6, 10], [8, 8], [10], [8, 8], [9], [5, 5, 5], [10], [9], [7, 7], [8, 8], [7, 9], [9], [9]]
[[5, 8], [7, 7], [7, 10], [10], [7, 7], [8, 9], [10], [10], [5, 5, 5], [6, 9], [9], [6, 10], [6, 6], [10], [9], [], [6, 9], [], [10], [9], [10], [8, 9], [8, 8], [9], [8, 8], [5, 10], [8, 8], [8, 8]]
[[5, 8], [8, 8], [7, 7], [8, 8], [10], [9], [], [10], [10], [10], [9], [6, 6], [9], [10], [8, 8], [9], [7, 9], [10], [7, 7], [5, 9], [6, 6], [6, 9], [8, 8], [10], [10], [5, 5, 5], [9], [10], [8, 8]]
[[5, 8], [10], [5, 10], [9], [8, 8], [6, 6], [10], [7, 7], [10], [9], [9], [7, 9], [8, 8], [10], [9], [], [9], [9], [8, 8], [6, 10], [10], [], [10], [6, 6], [5, 5, 5], [9], [10], [8, 8], [7, 7], [8, 8]]
[[10], [5, 8], [6, 8], [9], [10], [6, 8], [10], [10], [9], [6, 7], [7, 7], [9], [10], [10], [6, 8], [9], [9], [8], [9], [5, 8], [5, 8], [10], [8], [10], [10], [9], [8], [7, 7], [6, 8], [5, 9], [5, 8]]
[[5, 8], [9], [8], [9], [9], [5, 5], [10], [10], [8], [10], [10], [8], [9], [10], [6, 8], [9], [5, 9], [6, 8], [8], [8], [6, 7], [9], [8], [7, 7], [5, 9], [10], [10], [7, 7], [6, 8], [10], [6, 8], [10]]
[[10], [8], [5, 8], [8], [8], [9], [5, 8], [10], [7, 7], [9], [10], [9], [9], [10], [5, 9], [8], [10], [10], [7, 7], [8], [5, 9], [10], [8], [], [6, 6], [10], [10], [9], [8], [6, 8], [5, 9], [6, 7], [6, 8]]
[[5, 8], [9], [9], [10], [10], [8], [6, 7], [8], [10], [7], [10], [8], [5, 8], [7], [9], [8], [10], [5, 8], [9], [10], [9], [9], [6, 7], [9], [10], [8], [9], [6, 7], [8], [5, 8], [10], [6, 6], [10], [5, 8]]
[[10], [10], [9], [10], [8], [9], [8], [5, 8], [6, 6], [8], [9], [10], [7], [8], [9], [10], [7], [5, 8], [7], [10], [9], [8], [10], [5, 8], [10], [8], [9], [8], [6, 7], [9], [5, 8], [6, 6], [5, 7], [10], [9]]
[[5, 8], [7], [8], [9], [9], [7], [9], [9], [8], [8], [10], [6, 6], [9], [6, 6], [9], [5, 8], [8], [10], [10], [10], [7], [10], [5, 8], [5, 7], [9], [8], [8], [5, 8], [10], [10], [8], [10], [9], [6], [10], [7]]
[[10], [6, 7], [10], [8], [9], [10], [8], [8], [10], [7], [10], [9], [7], [10], [7], [6, 6], [9], [9], [5, 8], [8], [9], [10], [6, 6], [8], [8], [7], [10], [9], [5, 5], [8], [8], [9], [9], [10], [8], [8], [5, 5]]
[[8], [8], [8], [8], [8], [10], [10], [7], [8], [6], [5, 7], [5, 7], [9], [10], [9], [10], [7], [10], [10], [], [9], [10], [10], [6, 6], [10], [9], [6, 6], [9], [8], [9], [9], [8], [5, 5], [9], [8], [8], [8], [5, 7]]
[[5, 7], [8], [7], [8], [5, 5], [7], [9], [10], [9], [10], [6], [], [8], [9], [9], [8], [10], [8], [8], [8], [8], [6, 6], [8], [10], [6, 6], [10], [10], [10], [9], [8], [7], [9], [9], [5, 5], [10], [10], [9], [7], [8]]
[[5, 7], [8], [8], [8], [8], [9], [10], [6, 6], [8], [9], [10], [7], [8], [8], [9], [5, 5], [10], [5, 5], [6], [9], [8], [10], [], [], [9], [7], [9], [10], [10], [7], [8], [7], [10], [9], [10], [8], [6, 6], [9], [10], [8]]
[[10], [8], [8], [7], [8], [8], [10], [6, 6], [9], [8], [10], [7], [], [10], [9], [5, 5], [9], [], [6], [7], [], [10], [10], [9], [8], [8], [7], [10], [5, 5], [8], [9], [9], [8], [10], [10], [8], [9], [9], [6, 6], [5, 7], [8]]
[[5, 7], [8], [8], [8], [8], [10], [10], [8], [8], [9], [9], [9], [9], [9], [], [5, 5], [9], [7], [6], [8], [], [], [10], [6, 6], [10], [8], [10], [5, 5], [8], [], [10], [9], [6, 6], [8], [7], [7], [10], [9], [10], [10], [7], [8]]
[[5, 5], [8], [8], [8], [8], [10], [], [], [10], [7], [9], [9], [6], [10], [5], [9], [8], [9], [5, 5], [9], [9], [10], [6], [8], [7], [10], [6], [6], [10], [9], [8], [6], [10], [8], [10], [7], [8], [9], [7], [7], [8], [10], [8]]
-EndAllocation

Instance: [[1], [339], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [226, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [170, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 10, 10], [3, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10]]
[[10], [3, 4, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 9, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 10, 10, 10, 10]]
[[], [7, 7, 8, 8, 8, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10], [3, 4, 5, 5, 5, 5, 5, 9, 10, 10, 10]]
[[], [5, 5, 5, 5, 5, 7, 7, 10, 10, 10], [3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10], [8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [4, 9, 10, 10, 10, 10, 10, 10]]
[[], [3, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 10, 10, 10], [8, 8, 8, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10], [7, 7, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [10, 10, 10, 10, 10], [3, 4, 10, 10, 10, 10, 10], [7, 7, 9, 10, 10, 10], [6, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8], [10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [3, 8, 8, 8, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 9, 10, 10], [6, 6, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 10, 10], [4, 10, 10, 10]]
[[], [10, 10, 10, 10], [3, 10, 10, 10, 10], [4, 6, 6, 9, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 7, 7], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 10, 10]]
[[], [6, 6, 6], [6, 10, 10, 10], [3, 5, 5, 5, 5, 5], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 9, 10], [8, 8, 8, 10], [4, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 10], [4, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6], [10, 10, 10], [10, 10], [7, 7, 10, 10], [10, 10, 10], [9, 10, 10], [3, 6, 6, 6, 6, 6], [8, 8, 8, 10], [10, 10, 10]]
[[], [10, 10, 10], [6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [3, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 10, 10], [9, 10, 10], [5, 5, 5, 5, 5, 10], [4, 10, 10, 10], []]
[[], [4, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [5, 5, 10, 10], [3, 5, 5, 5, 7, 7], [], [10, 10, 10], [10], [8, 8, 8, 9], [10, 10, 10], [10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6]]
[[], [5, 5, 5, 5, 5], [8, 8, 8], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [10], [3, 10, 10], [6, 6, 6, 10], [4, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [6, 6, 6, 9], [7, 7, 10]]
[[], [10, 10], [10, 10], [8, 8, 8], [3, 7, 7, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 6], [6, 6, 6, 6], [9, 10, 10], [4, 10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 10]]
[[], [10, 10], [10, 10], [10, 10], [7, 7, 10], [10, 10], [4, 10, 10], [9], [8, 8, 8], [3, 6, 6, 10], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 6], [10, 10]]
[[], [10, 10], [10, 10], [6, 6, 6], [6, 6, 6, 6], [], [4, 10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5], [9, 10], [10, 10], [10, 10], [5, 10, 10], [10, 10], [7, 7, 10], [10, 10], [3, 6, 6, 6]]
[[], [4, 10, 10], [6, 10], [8, 8, 8], [6, 6, 6, 6], [6, 7, 7], [3, 10, 10], [10, 10], [5], [10, 10], [10, 10], [9, 10], [10, 10], [], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5]]
[[], [10, 10], [5, 5, 5, 5], [7, 7], [3, 10], [10, 10], [6, 6, 6], [8, 8], [6, 6, 6], [10, 10], [4, 9], [10, 10], [10, 10], [5, 10], [6, 6, 6], [10, 10], [8, 10], [10, 10], [10, 10], [6, 10]]
[[], [6], [6, 6, 6], [10, 10], [5, 5, 5, 5], [], [5, 8, 8], [10, 10], [10, 10], [10, 10], [10, 10], [4, 10], [10, 10], [8, 10], [6, 6, 6], [7, 7], [10, 10], [3, 10], [10, 10], [6, 6, 6], [9, 10]]
[[], [6, 6, 6], [10, 10], [6, 6, 6], [10, 10], [], [8, 8], [10, 10], [10, 10], [5, 9], [10, 10], [5, 5, 5, 5], [8, 10], [10, 10], [10, 10], [6, 6, 6], [6, 10], [10, 10], [3, 10], [4, 7, 7], [], [10]]
[[], [6, 6], [10, 10], [10, 10], [4], [10, 10], [10, 10], [], [10, 10], [5, 5, 5, 5], [6, 7, 7], [10, 10], [3, 5, 10], [6, 6, 6], [9, 10], [8, 10], [8, 8], [6, 6, 6], [10, 10], [6, 10], [], [], [10, 10]]
[[], [10, 10], [3, 7, 8], [10, 10], [10, 10], [5, 5, 5, 5], [], [], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [], [4], [5, 6, 7], [8, 8], [10, 10], [10], [10, 10], [], [10, 10], [6, 6, 6], [9, 10], [10, 10]]
[[10], [10], [10], [7, 7], [5, 10], [10], [4, 10], [6, 10], [10], [10], [9], [10], [6, 10], [5, 5, 5], [6, 10], [6, 10], [6, 6, 6], [10], [6, 10], [3, 10], [6, 10], [8, 8], [6, 10], [5, 10], [8, 10]]
[[10], [5, 10], [10], [6, 10], [5, 10], [8, 9], [10], [10], [4, 10], [10], [6, 10], [3, 10], [6, 6, 6], [6, 6, 6], [6, 10], [7, 7], [10], [10], [10], [6, 10], [10], [5, 5, 5], [8, 8], [10], [10], [10]]
[[10], [10], [10], [5, 10], [10], [5, 10], [10], [10], [10], [7, 7], [3, 10], [6, 10], [6, 10], [10], [6, 10], [6, 6], [8, 9], [10], [6, 10], [4, 10], [6, 6], [10], [6, 6], [10], [10], [5, 5, 5], [8, 8]]
[[10], [6, 10], [6, 10], [10], [8, 8], [9], [10], [5, 5, 5], [8], [10], [10], [6, 10], [6, 10], [10], [6, 10], [7, 7], [10], [10], [10], [3, 10], [5, 5], [6, 6], [10], [6, 10], [4, 10], [10], [10], [6, 6]]
[[10], [5, 5, 5], [5, 5], [7, 7], [10], [10], [6, 6], [10], [10], [10], [10], [10], [6, 9], [10], [10], [10], [10], [6, 6], [10], [10], [6, 10], [6, 10], [4, 10], [6, 8], [8, 8], [10], [3, 6, 6], [10], [10]]
[[10], [6, 10], [10], [10], [10], [10], [8, 8], [7, 7], [9], [10], [6, 6], [10], [10], [10], [10], [10], [5, 5], [6, 6], [3, 10], [10], [5, 5, 5], [10], [4, 10], [8], [6, 10], [6, 6], [6, 6], [10], [10], [10]]
[[10], [10], [10], [5, 6], [5, 5], [10], [10], [10], [10], [6, 8], [6, 6], [10], [10], [4, 10], [6, 8], [10], [10], [10], [6, 8], [6, 6], [10], [6, 6], [10], [3, 10], [10], [5, 5], [9], [10], [10], [7, 7], [10]]
[[10], [10], [10], [10], [10], [7, 7], [8], [10], [10], [4, 10], [10], [10], [3, 10], [6, 6], [10], [6, 6], [6, 6], [10], [5, 8], [5, 5], [6], [9], [6, 8], [10], [10], [5, 5], [10], [10], [6, 6], [10], [10], [10]]
[[10], [6, 6], [10], [10], [10], [3, 10], [10], [6, 6], [7, 7], [10], [10], [10], [10], [10], [5, 5], [8], [10], [10], [10], [5, 9], [10], [], [10], [10], [6, 6], [6, 6], [8], [10], [6, 6], [10], [8], [5, 5], [4, 10]]
[[7], [10], [10], [4, 6], [10], [10], [10], [7], [10], [10], [3, 10], [8], [6, 6], [5, 6], [10], [10], [5, 5], [10], [10], [6, 6], [10], [10], [10], [10], [5, 5], [6, 6], [10], [8], [10], [6, 6], [10], [9], [8], [10]]
[[10], [6, 6], [10], [10], [6, 6], [6, 6], [10], [10], [10], [10], [5, 5], [10], [10], [10], [4, 6], [6, 6], [], [6, 7], [10], [5, 5], [10], [10], [10], [5], [10], [10], [8], [9], [3, 8], [10], [10], [8], [10], [7], [10]]
[[7], [10], [4, 7], [5, 5], [6, 6], [5, 8], [6, 6], [10], [10], [10], [10], [], [5, 8], [10], [10], [10], [6, 6], [5], [10], [10], [6, 6], [], [10], [10], [8], [6, 6], [10], [10], [3, 10], [9], [10], [10], [10], [], [10], [10]]
[[10], [10], [10], [5], [8], [7], [10], [10], [10], [7], [10], [10], [10], [5, 5], [10], [3, 10], [10], [4, 6], [6, 6], [10], [6, 6], [10], [8], [9], [6, 6], [8], [10], [6], [], [], [10], [10], [10], [10], [6, 6], [10], [5, 5]]
[[10], [10], [6, 6], [9], [], [10], [5, 6], [10], [10], [4], [7], [10], [5, 5], [6, 6], [10], [10], [10], [8], [10], [], [10], [10], [7], [10], [10], [10], [10], [3, 6], [6, 6], [5, 5], [10], [10], [8], [10], [10], [6, 6], [], [8]]
[[7], [6, 6], [10], [10], [10], [6, 6], [6, 6], [10], [7], [10], [10], [10], [10], [5, 5], [10], [10], [5, 5], [9], [10], [10], [8], [6, 6], [10], [10], [8], [6, 6], [3, 4], [], [], [10], [10], [5], [10], [8], [10], [10], [], [10], []]
[[10], [6, 6], [10], [5, 5], [6, 6], [10], [10], [], [3], [10], [5, 5], [9], [10], [10], [7], [10], [], [8], [10], [6, 6], [6, 6], [10], [], [10], [10], [10], [10], [5, 7], [10], [4], [10], [8], [6, 6], [10], [8], [10], [], [10], [10], []]
[[8], [10], [10], [6, 6], [10], [3], [], [6, 6], [8], [10], [10], [5, 5], [6, 6], [7], [10], [10], [], [10], [], [10], [10], [6, 6], [10], [10], [5, 6], [], [10], [], [10], [10], [7], [4, 6], [9], [10], [5, 5], [8], [], [10], [10], [10], [10]]
[[10], [], [10], [10], [10], [3], [10], [7], [10], [8], [], [6, 6], [10], [8], [9], [10], [10], [7], [6, 6], [5, 5], [6, 6], [10], [], [], [10], [8], [10], [10], [10], [], [6, 6], [10], [], [10], [6], [10], [4, 6], [10], [5], [10], [5, 5], [10]]
[[7], [10], [6], [10], [8], [5], [10], [10], [10], [10], [6], [10], [6], [10], [6], [4], [10], [10], [10], [6], [10], [5, 5], [10], [7], [6], [6], [10], [], [10], [10], [10], [], [8], [10], [10], [9], [3], [6], [5, 5], [6], [6], [10], [8]]
-EndAllocation

Instance: [[1], [338], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[4, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9]]
[[4, 5, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 7, 7, 7], [5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 10, 10, 10], [5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [], [5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 10], [9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 5, 7, 7, 7, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8, 8, 8], []]
[[4, 7, 7, 7, 7, 7, 7, 10], [6, 6, 6, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 10], [5, 5, 5], [9, 9, 10]]
[[4, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6], [8, 8, 8, 8, 8, 8], [], [9, 9, 9, 10, 10, 10], [10, 10, 10, 10, 10]]
[[4, 6, 8, 8, 8, 8, 8], [6, 6, 10, 10, 10], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10, 10], [], [5, 5, 5, 10], [8, 10, 10, 10, 10]]
[[4, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8], [7, 7], [9, 9, 9, 9], [6, 6, 6, 10, 10], [9, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7], [10, 10, 10, 10]]
[[4, 9, 9, 9, 9], [8], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [9], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 7, 10], [5, 5, 5]]
[[4, 7, 9, 9, 9], [9, 10, 10], [10, 10, 10], [10, 10, 10], [8, 8], [10, 10, 10], [], [6, 6, 6, 9], [5, 5, 5, 7, 7, 7], [7, 7, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8]]
[[4, 9, 10, 10], [9, 9, 9], [6, 6, 6, 10], [8, 8, 8, 8], [10, 10, 10], [10], [10, 10, 10], [10], [5, 5, 5, 10], [7, 9, 9, 9], [9, 9, 10], [7, 7, 7, 7], [7, 8, 8]]
[[4, 6, 6, 6, 7], [9, 9, 9], [10, 10, 10], [8, 8], [], [10, 10, 10], [10, 10, 10], [10, 10, 10], [7, 10], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8, 8], [9, 9, 9], [5, 5, 5]]
[[4, 9, 9], [7, 7, 10], [5, 5, 5], [], [10], [9, 10, 10], [9, 9, 9], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8], [6, 6, 6]]
[[4, 6, 9, 9], [], [10], [10, 10], [10], [6, 9, 10], [8, 8, 8], [9, 9, 9], [8, 8, 8], [6, 10, 10], [10, 10], [10, 10], [7, 7, 10], [5, 5, 5, 10], [9, 9, 9], [7, 7, 7, 7]]
[[4, 6, 7, 7], [9, 9], [9, 9], [8, 8, 8], [5, 5, 5], [10], [9, 10], [7, 8, 10], [7, 7, 7], [6, 10, 10], [9, 9], [10, 10], [9, 9], [10, 10], [10, 10], [6, 8, 8], [10, 10]]
[[4, 8, 8], [10], [10], [10, 10], [8, 8, 8], [9, 10], [9, 9], [6, 6, 6], [8, 10], [5, 5, 5, 10], [10, 10], [10, 10], [7, 7, 7], [9, 9], [9, 9], [9, 9], [7, 7, 7], [10, 10]]
[[4, 7, 7], [8, 8, 8], [6, 6, 6], [10], [10, 10], [7, 10], [9, 9], [5, 5, 5, 9], [9, 9], [9, 9], [9, 9], [10, 10], [10, 10], [10], [10, 10], [10], [8, 8, 8], [10], [7, 7, 7]]
[[4, 8, 9], [], [10, 10], [10, 10], [8, 8], [10], [9, 10], [6, 6, 8], [9, 10], [8, 8], [7, 7, 7], [9, 9], [5, 5, 5, 6], [9, 9], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], []]
[[4, 9], [10], [10], [5, 5, 5], [6, 6, 6], [10, 10], [8, 8], [10], [8, 8], [9, 9], [7, 7, 7], [9, 9], [10, 10], [9, 9], [8, 8], [9, 9], [7, 7, 7], [10, 10], [], [10, 10], [10, 10]]
[[4, 8, 8], [7, 7, 7], [10, 10], [9, 9], [9, 9], [10, 10], [9, 9], [], [9, 10], [9, 9], [10, 10], [5, 5, 5], [10, 10], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [10, 10], [], [8, 8], [], []]
[[4, 9], [7, 7], [], [9, 9], [10], [5, 5, 5], [10, 10], [9, 9], [10, 10], [10, 10], [7, 7], [8, 8], [10, 10], [9, 9], [7, 7], [8, 8], [10, 10], [9, 9], [], [], [8, 8], [10, 10], [6, 6, 6]]
[[4, 10], [10, 10], [5, 5, 5], [], [], [10, 10], [8, 8], [], [10, 10], [7, 7], [10, 10], [9, 9], [10, 10], [7, 7], [7, 7], [8, 8], [], [6, 6, 6], [10, 10], [9, 9], [9, 9], [8, 8], [9], [9, 9]]
[[4, 10], [8, 10], [], [10], [7, 7], [10], [6, 6, 6], [9, 9], [10], [5, 5, 5], [9, 9], [9], [8, 10], [9, 9], [8, 8], [9, 9], [8, 10], [8, 10], [7, 7], [10], [10], [10], [10], [7, 7], [10]]
[[4, 10], [10], [9], [10], [8, 9], [10], [8, 9], [7, 10], [7, 10], [6, 10], [8, 9], [5, 5, 5], [9], [7, 10], [6, 6], [8, 8], [10], [7, 9], [10], [9], [10], [10], [8, 9], [7, 7], [9], [10]]
[[7, 9], [10], [4, 10], [10], [10], [7, 7], [7, 10], [9], [8, 8], [10], [10], [9], [10], [7, 9], [10], [6, 10], [10], [6, 9], [8, 8], [9], [10], [9], [6, 9], [9], [8, 8], [7, 10], [5, 5, 5]]
[[4, 9], [8, 9], [10], [8, 8], [8, 8], [10], [9], [6, 10], [9], [10], [10], [10], [8, 9], [7, 7], [9], [7, 10], [10], [9], [10], [10], [10], [10], [7, 7], [7, 10], [6, 6], [5, 5, 5], [9], [9]]
[[4, 10], [5, 10], [9], [5, 9], [10], [10], [8, 8], [7, 7], [6, 10], [7, 7], [9], [10], [10], [], [7, 7], [10], [10], [9], [9], [9], [9], [10], [10], [10], [6, 9], [6, 10], [5, 9], [8, 8], [8, 8]]
[[7, 7], [7, 7], [10], [10], [10], [5, 5, 5], [8, 8], [9], [10], [10], [], [9], [9], [8, 8], [10], [10], [10], [7, 9], [6, 6], [10], [10], [9], [7, 9], [4, 9], [9], [10], [6, 10], [8, 8], [10], [9]]
[[7, 7], [7, 7], [5, 9], [9], [10], [9], [10], [9], [6, 8], [9], [10], [6, 8], [9], [6, 8], [10], [10], [8], [8], [10], [7, 7], [10], [5, 9], [10], [10], [9], [9], [10], [10], [5, 8], [10], [4, 10]]
[[6, 8], [8], [10], [10], [9], [7], [10], [7, 7], [10], [9], [10], [10], [10], [8], [9], [7, 7], [8], [10], [9], [10], [9], [10], [8], [6, 8], [9], [4, 10], [10], [5, 9], [5, 9], [5, 9], [6, 7], [10]]
[[5, 6], [6, 8], [9], [7, 7], [10], [10], [10], [10], [10], [10], [6], [10], [5, 9], [9], [10], [7, 7], [9], [9], [10], [10], [9], [9], [8], [7, 7], [8], [4, 9], [10], [8], [5, 8], [10], [10], [8], [9]]
[[5, 8], [10], [8], [10], [7], [10], [8], [8], [10], [9], [9], [7], [10], [9], [6, 7], [9], [6, 7], [9], [10], [9], [6, 7], [10], [4, 9], [10], [5, 8], [9], [10], [10], [8], [10], [5, 7], [9], [10], [10]]
[[6, 6], [10], [10], [10], [9], [9], [10], [7], [6, 7], [7], [8], [10], [10], [10], [8], [10], [9], [9], [10], [10], [9], [9], [8], [10], [7], [9], [10], [7], [8], [10], [5, 7], [5, 8], [9], [5, 8], [4, 9]]
[[6, 7], [8], [10], [9], [4, 9], [10], [10], [10], [8], [10], [], [10], [9], [5, 7], [10], [9], [5, 5], [9], [9], [10], [9], [9], [9], [7], [7], [10], [10], [8], [8], [8], [10], [10], [6, 7], [6, 7], [10], [8]]
[[5, 8], [8], [8], [7], [9], [6, 6], [6, 7], [10], [10], [9], [7], [], [10], [10], [5, 8], [5, 7], [10], [10], [10], [10], [], [9], [8], [10], [9], [9], [9], [9], [7], [10], [7], [10], [10], [10], [8], [9], [4, 9]]
[[5, 7], [10], [10], [9], [7], [9], [9], [10], [10], [10], [9], [10], [7], [9], [], [10], [8], [7], [10], [10], [6, 6], [9], [5, 6], [8], [9], [9], [10], [7], [8], [9], [], [10], [8], [8], [10], [10], [5, 7], [4, 8]]
[[10], [9], [9], [], [10], [9], [7], [6, 6], [8], [7], [7], [10], [10], [4, 8], [9], [7], [5, 5], [9], [8], [7], [6], [8], [9], [8], [10], [10], [10], [10], [9], [10], [10], [9], [10], [5], [8], [10], [7], [10], [9]]
[[4, 7], [9], [10], [6], [7], [9], [10], [], [7], [9], [8], [8], [9], [7], [8], [10], [10], [9], [10], [], [8], [10], [9], [10], [9], [9], [8], [], [10], [8], [10], [10], [10], [5, 7], [7], [5, 5], [10], [9], [10], [6, 6]]
[[4, 7], [9], [8], [5], [], [], [6, 6], [9], [10], [10], [9], [10], [10], [10], [9], [7], [10], [9], [10], [7], [8], [9], [], [10], [10], [], [7], [10], [10], [9], [10], [8], [8], [10], [8], [8], [5, 6], [7], [5, 7], [9], [9]]
[[10], [9], [8], [6, 6], [10], [8], [], [], [9], [], [7], [], [], [10], [], [8], [10], [9], [10], [9], [10], [7], [9], [9], [8], [8], [10], [10], [7], [9], [10], [10], [8], [10], [5, 6], [10], [10], [5, 7], [9], [5, 7], [4, 7], [9]]
[[8], [8], [], [], [9], [], [5, 5], [8], [10], [9], [7], [7], [9], [10], [7], [6], [10], [7], [10], [10], [6], [7], [10], [9], [8], [10], [10], [9], [9], [10], [8], [7], [10], [], [9], [5], [8], [9], [10], [10], [10], [9], [4, 6]]
-EndAllocation

Instance: [[1], [337], 43]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,43. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,43:
-StartAllocation
[[7, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7]]
[[4, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 6, 6, 6, 6, 7, 7, 7, 7], [6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 8]]
[[4, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 10], [5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 7], [6, 6, 6, 6, 6, 6, 6, 8, 8], [10, 10, 10, 10, 10, 10], [10, 10], [5, 5, 7, 7, 7, 8, 8, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10], [9, 9, 10, 10, 10], [7, 7, 7, 7], [], [9, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [], [9, 9, 9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 5, 5, 5, 9, 9, 9]]
[[4, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 5, 5], [10, 10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7]]
[[4, 8, 8, 8], [8, 10, 10, 10], [9, 9, 9, 9], [10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 6, 8, 8], [8, 8, 8], [8, 8, 8]]
[[4, 5, 5, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [5, 10, 10, 10], [], [], [9, 9, 9, 9], [9, 9, 9, 9], [6, 8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [], [5, 5, 5], [10, 10], [8, 8, 8, 8], [4, 9, 9, 9], [8, 8, 8, 8], [6, 6, 9, 9]]
[[6, 8, 8, 8], [9, 9], [9, 9, 9], [], [10, 10, 10], [10, 10, 10], [6, 6, 8, 8], [8, 8, 8], [7, 7, 7, 7], [4, 8, 8, 8], [9, 9, 9], [8, 10, 10], [6, 6, 6, 6], [5, 5, 5]]
[[5, 8, 8, 8], [8, 8, 8], [9, 9, 9], [], [4, 5, 9, 9], [9, 9, 9], [10, 10, 10], [10, 10, 10], [10, 10], [5, 8, 8, 8], [6, 6, 6, 6, 6], [6, 6], [8, 8, 8], [], [7, 7, 7, 7]]
[[8, 8, 8], [], [6, 6, 6], [10, 10], [9, 9, 9], [10, 10], [9, 9], [10], [8, 8, 8], [4, 6, 6, 6, 6], [9, 9, 9], [10, 10], [8, 8, 10], [5, 5, 5, 8], [7, 7, 7, 7], [8, 8, 8]]
[[5, 5, 9], [9, 9], [8, 8, 8], [4, 7], [8, 8, 8], [10, 10], [10, 10], [10, 10], [10, 10], [5, 7, 7, 7], [9, 9], [8, 8, 8], [6, 6, 6, 6], [8, 8, 8], [6, 6, 6], [9, 9], [9]]
[[6, 8, 8], [10, 10], [8, 8], [9, 9], [], [10, 10], [8, 8], [8, 8, 9], [6, 6, 9], [4, 8, 10], [9, 9], [8, 8], [5, 5, 5, 10], [7, 7, 7], [6, 6, 6, 6], [9, 9], [7, 8], [10, 10]]
[[4, 6, 7, 7], [], [8, 8, 8], [9, 9], [10, 10], [10, 10], [5, 5, 9], [5, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [6, 6, 8], [9, 9], [9], [7, 7], [9, 9], []]
[[5, 6, 8], [10, 10], [9, 9], [9], [8, 8], [8, 9], [10, 10], [8, 8], [4, 8, 8], [6, 8, 8], [7], [10, 10], [6, 6, 8], [6, 6, 6], [10, 10], [9, 9], [], [7, 7, 7], [5, 5, 8], [9, 9]]
[[5, 5, 8], [10, 10], [8, 8], [10, 10], [9, 9], [7], [6, 6, 6], [7, 7, 7], [4, 6, 8], [9, 9], [8, 8], [9, 9], [8, 8], [10, 10], [10, 10], [], [8, 8], [], [9, 9], [5, 8, 8], [6, 6, 6]]
[[4, 8, 8], [9, 9], [9, 9], [], [9, 9], [8, 8], [10, 10], [8, 8], [8, 8], [8, 8], [9, 9], [5, 5, 5, 6], [7, 7, 7], [8, 8], [10, 10], [10, 10], [7], [], [6, 6, 6], [6, 6, 6], [], [10, 10]]
[[4], [9, 9], [10, 10], [], [], [5, 5, 5], [9, 9], [8, 8], [8, 8], [6, 6, 8], [8, 8], [8, 8], [6, 6, 8], [9, 9], [10, 10], [7, 7], [], [8, 8], [10, 10], [9, 9], [6, 6, 6], [10, 10], [7, 7]]
[[4, 6, 8], [6, 6, 6], [6, 6, 6], [8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [8, 8], [8, 8], [7, 8], [5, 5, 5], [9, 9], [], [10, 10], [9, 9], [10, 10], [], [8, 8], [], [7, 7], [], [7], [8, 8]]
[[8, 8], [5, 5, 5], [7, 10], [6, 6, 6], [8, 10], [7, 7], [10], [8, 8], [8, 8], [8, 8], [4, 9], [6, 6, 6], [6, 9], [9], [9], [7, 10], [9], [10], [9], [10], [8, 8], [10], [8, 10], [9], [9]]
[[8, 8], [9], [7, 10], [8], [8, 8], [10], [10], [6, 6], [8, 8], [8, 8], [8, 9], [7, 7], [6, 9], [6, 10], [4, 9], [5, 5, 5], [9], [10], [8, 8], [6, 10], [7, 9], [9], [10], [9], [6, 6], [10]]
[[8, 8], [9], [4, 8], [8, 9], [6, 9], [6, 10], [6, 9], [8, 8], [6, 10], [10], [], [5, 5, 5], [8, 8], [9], [10], [], [10], [9], [7, 7], [6, 10], [10], [9], [8, 8], [6, 9], [8, 8], [7, 7], [6, 10]]
[[8, 8], [8, 8], [4, 6], [10], [7, 7], [8, 9], [10], [10], [6, 6], [8, 8], [10], [10], [10], [9], [9], [], [6, 9], [6, 6], [10], [5, 5, 5], [8, 9], [10], [7, 7], [9], [8, 8], [9], [6, 9], [8, 8]]
[[4, 8], [8, 8], [6, 10], [8, 8], [8], [9], [9], [6, 9], [6, 9], [10], [], [7, 7], [], [10], [6, 10], [9], [9], [10], [7, 7], [5, 5, 5], [6, 6], [10], [8, 8], [10], [10], [8, 8], [9], [6, 9], [8, 8]]
[[6, 8], [4, 6], [6, 8], [9], [9], [6, 6], [9], [7, 7], [5, 5, 5], [9], [8, 8], [10], [9], [10], [10], [], [8, 8], [9], [8, 8], [10], [10], [9], [10], [6, 6], [10], [9], [10], [8, 8], [7, 7], [8, 8]]
[[6, 8], [4, 10], [10], [5, 8], [5, 7], [10], [6, 8], [9], [5, 9], [8], [9], [6, 8], [6, 8], [10], [10], [6, 8], [10], [7, 7], [6, 8], [10], [8], [9], [10], [9], [9], [8], [9], [6, 8], [8], [9], [7]]
[[4, 8], [5, 9], [6, 8], [6, 8], [9], [6, 8], [10], [10], [6, 7], [8], [8], [5, 8], [10], [10], [10], [9], [7], [8], [7, 7], [9], [6, 6], [10], [9], [8], [9], [6, 8], [8], [8], [10], [10], [9], [5, 9]]
[[5, 8], [5, 9], [9], [8], [6, 7], [6, 8], [9], [9], [6, 7], [10], [9], [10], [6, 8], [10], [5, 8], [9], [9], [8], [8], [10], [9], [6, 8], [10], [8], [], [7], [6, 8], [10], [7], [6, 8], [10], [8], [4, 10]]
[[5, 8], [4, 8], [5, 8], [8], [6, 7], [10], [6], [9], [6, 6], [8], [10], [9], [10], [10], [10], [6, 7], [10], [9], [8], [8], [8], [8], [10], [9], [6, 7], [9], [9], [6, 7], [8], [8], [10], [9], [9], [5, 8]]
[[6, 6], [10], [5, 8], [5, 8], [8], [10], [6, 7], [10], [6, 7], [8], [8], [9], [9], [10], [9], [10], [10], [10], [8], [9], [9], [8], [9], [6, 6], [9], [8], [8], [7], [], [8], [8], [10], [4, 9], [6, 7], [5, 8]]
[[5, 8], [5, 7], [10], [9], [8], [5, 6], [10], [8], [10], [10], [8], [6], [10], [9], [10], [9], [8], [6, 7], [8], [10], [8], [9], [8], [9], [6, 7], [8], [9], [10], [6, 7], [6], [8], [8], [9], [6], [9], [4, 8]]
[[5, 6], [5, 8], [4, 9], [], [8], [8], [8], [8], [6, 7], [9], [8], [10], [10], [10], [8], [9], [10], [8], [9], [8], [10], [9], [8], [10], [10], [8], [8], [], [10], [9], [6, 6], [7], [6, 7], [6, 7], [9], [9], [5, 6]]
[[8], [4, 8], [8], [8], [8], [6, 6], [10], [7], [8], [10], [7], [10], [7], [10], [8], [10], [9], [9], [], [10], [9], [10], [9], [5, 5], [6, 6], [6, 6], [8], [10], [8], [9], [8], [8], [7], [9], [9], [8], [5, 6], [9]]
[[5, 7], [9], [4, 8], [8], [10], [8], [8], [10], [8], [8], [10], [10], [9], [8], [10], [10], [9], [8], [10], [9], [9], [8], [10], [9], [9], [9], [5, 5], [7], [6, 6], [6, 6], [8], [6, 6], [], [8], [7], [], [7], [6], [8]]
[[5, 7], [8], [7], [8], [8], [8], [8], [8], [9], [8], [8], [7], [], [8], [9], [10], [6, 6], [], [], [9], [8], [10], [10], [6, 6], [9], [10], [8], [10], [10], [9], [6, 6], [7], [10], [10], [9], [8], [9], [9], [5, 6], [4, 5]]
[[], [10], [8], [5, 7], [6, 6], [7], [8], [9], [9], [8], [10], [6], [9], [6, 6], [10], [8], [8], [8], [5, 5], [], [], [9], [10], [9], [10], [], [7], [8], [8], [8], [9], [9], [8], [10], [10], [8], [9], [10], [6, 6], [7], [4, 8]]
[[10], [5, 7], [8], [8], [8], [10], [6], [8], [], [9], [9], [10], [10], [9], [], [9], [9], [8], [], [8], [], [10], [10], [6, 6], [10], [8], [], [9], [7], [8], [8], [8], [6, 6], [9], [8], [7], [6, 6], [8], [10], [9], [5, 7], [4, 5]]
[[4, 6], [8], [8], [8], [8], [9], [7], [6], [9], [9], [8], [10], [], [6], [], [8], [8], [9], [5, 5], [9], [9], [10], [6], [8], [10], [10], [7], [7], [10], [9], [8], [6], [10], [10], [10], [7], [8], [9], [6], [6], [8], [8], [5]]
-EndAllocation

Instance: [[1], [352], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [234, 157, 117, 94, 78, 68, 58, 53, 48, 42, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 10], Opt: [176, 118, 88, 71, 59, 51, 44, 40, 36, 32, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8]]
[[7, 7, 7, 7, 7, 10, 10], [10, 10, 10], [8, 8, 8], [5, 5, 5, 5, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10]]
[[9, 9, 9, 9, 9, 10], [8, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 9, 9], [7, 7, 7, 7, 8, 8, 8], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8, 10], [8, 9, 9, 9, 9, 9], [], [9, 9], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [], [10, 10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10], [6], [], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8], [9, 9, 9, 9], [10, 10, 10, 10], [9, 9, 9, 10], [10, 10, 10, 10]]
[[5, 5, 5, 5, 8], [], [10, 10, 10, 10], [9, 9, 9], [10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], []]
[[5, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8], [5, 5, 5, 10, 10], [], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [], [10, 10, 10], [9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [9], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [8], [5, 5, 5, 8, 8], [5, 7, 7, 7, 7], [7, 10, 10], [8, 8, 8, 8], [6, 9, 9, 9]]
[[5, 5, 9, 9], [7], [9, 9], [10, 10, 10], [], [6, 6, 6, 6, 6], [8, 8, 8], [6, 9], [9, 9], [5, 5, 10, 10], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7]]
[[5, 10, 10], [10, 10], [6, 8, 8], [7, 8, 8], [6], [], [9, 10, 10], [6, 10, 10], [8, 8], [5, 5, 5, 6, 8], [8, 8, 9], [8, 8, 10], [9, 9, 9], [6, 10, 10], [6, 9, 9], [7, 7, 7, 7]]
[[6, 6, 10], [10, 10], [9, 9, 9], [10, 10], [10, 10], [], [], [10, 10], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [7, 10, 10], [8, 8, 9], [6, 6, 6, 6], [8, 8, 8], [5, 5, 5, 5]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [8, 8, 10], [8, 8, 8], [5, 5, 5, 5], [8, 8, 8], [9, 9], [7, 7], [], [10, 10], [6, 6, 9], [7, 7, 7]]
[[8, 8, 8], [], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [9, 9], [8, 8], [9, 9], [10, 10], [6, 6, 6, 6], [6, 6], [7, 7, 10], [10, 10], [9, 9], [9], [10, 10], [7, 7, 7]]
[[7, 7, 7], [10, 10], [10, 10], [], [8, 8, 8], [7, 7], [8, 8, 8], [6, 6, 6, 6], [10, 10], [6, 9, 9], [10], [9], [9, 9], [8, 8, 8], [6, 8, 8], [], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10]]
[[6, 6, 8], [5, 5, 5, 5], [9, 9], [], [7, 7, 7], [9, 9], [9], [10, 10], [8, 8], [6, 8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 10], [10, 10], [8, 8], [8, 8], [7, 7], [9, 9], [], [6, 8, 8]]
[[8, 8], [9, 9], [10, 10], [9, 9], [6, 6, 6], [8, 8], [7, 7, 7], [5, 5, 5, 5], [8, 8], [10, 10], [8, 10], [6, 6, 6], [8, 8], [10, 10], [7, 7], [9, 9], [], [9], [], [8, 8], [10, 10], [10, 10]]
[[8, 8], [9, 9], [9, 9], [], [7, 7, 7], [8], [6, 6, 6], [10, 10], [8, 8], [6, 10], [6, 6], [7, 7], [8, 8], [8, 8], [10, 10], [9], [10, 10], [9, 9], [5, 5, 5, 5], [8, 8], [10, 10], [], [10, 10]]
[[6, 8], [7], [7, 7], [8, 8], [10, 10], [8, 8], [8, 8], [5, 5, 5, 5], [6, 7, 7], [6, 10], [9], [10, 10], [9, 9], [9, 9], [], [8, 8], [], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [10, 10]]
[[8, 10], [7, 7], [9, 9], [10, 10], [], [10, 10], [7], [], [6, 6, 6], [], [8, 8], [8, 8], [8, 8], [10, 10], [6, 6, 6], [7, 7], [], [8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [9], [9, 9], [9, 9], [8, 8]]
[[9, 9], [8, 8], [5, 10], [10], [8, 10], [7, 7], [10], [10], [8, 8], [10], [10], [], [9], [9, 9], [8, 8], [9, 9], [6, 6, 6], [7], [8, 8], [7, 7], [10], [8, 10], [8, 10], [6, 6, 6], [10], [5, 5, 5]]
[[8, 8], [8, 8], [5, 10], [8, 10], [7, 10], [7, 8], [9], [7, 7], [], [6, 6, 6], [10], [10], [], [], [8, 10], [10], [9, 9], [10], [5, 5, 5], [9, 9], [9, 9], [10], [8, 8], [6, 6, 6], [7, 10], [10], [8, 8]]
[[8, 8], [6, 10], [6, 6], [7, 7], [10], [7], [6, 10], [10], [10], [5, 5], [9], [6, 6], [8, 9], [7, 10], [5, 10], [9], [9], [10], [7, 9], [8, 8], [5, 10], [10], [8, 8], [9], [8, 8], [10], [9], [8, 8]]
[[6, 10], [8, 8], [5, 10], [10], [8], [10], [6, 10], [6, 10], [8, 8], [8, 8], [7, 7], [9], [9], [10], [9], [7, 10], [], [9], [6, 10], [9], [8, 8], [9], [10], [10], [6, 6], [9], [5, 5, 5], [7, 7], [8, 8]]
[[5, 10], [8, 8], [6, 8], [10], [10], [10], [10], [8, 8], [6, 10], [6, 6], [10], [9], [10], [9], [9], [7, 7], [8, 8], [10], [9], [9], [9], [], [10], [7, 9], [6, 6], [10], [7, 7], [8, 8], [5, 5, 5], [8, 8]]
[[5, 10], [10], [9], [6, 9], [10], [6, 6], [5, 5, 5], [7, 8], [10], [8, 8], [], [], [9], [10], [10], [10], [9], [9], [6, 10], [8, 8], [8, 8], [10], [7, 7], [10], [7, 7], [9], [8, 8], [8, 8], [6, 6], [9], [10]]
[[5, 8], [7, 7], [10], [9], [10], [5, 8], [6, 8], [10], [10], [9], [9], [10], [10], [7, 7], [9], [9], [10], [10], [10], [5, 8], [6, 7], [10], [6, 8], [8], [10], [9], [6, 8], [8], [6, 8], [8], [6, 8], [5, 9]]
[[7, 7], [], [5, 9], [6, 8], [5, 8], [7, 7], [6, 8], [10], [6, 8], [5, 9], [8], [8], [9], [10], [10], [8], [6, 8], [9], [10], [10], [10], [10], [9], [10], [9], [6, 8], [9], [10], [10], [8], [6, 8], [10], [5, 7]]
[[5, 8], [5, 8], [10], [6, 8], [7], [9], [10], [10], [10], [10], [8], [5, 8], [6, 8], [10], [10], [10], [5, 9], [8], [9], [7, 7], [8], [6, 6], [9], [9], [9], [10], [8], [10], [8], [6, 6], [10], [9], [8], [7, 7]]
[[8], [5, 9], [5, 9], [9], [10], [7, 7], [10], [10], [10], [8], [6, 6], [7], [9], [6, 6], [8], [10], [10], [10], [8], [10], [10], [8], [9], [8], [9], [8], [8], [8], [10], [5, 8], [6, 6], [5, 9], [8], [10], [7, 7]]
[[10], [10], [5, 8], [6, 6], [10], [9], [5, 8], [10], [10], [5], [10], [10], [10], [9], [10], [8], [6, 7], [6, 7], [10], [8], [8], [10], [9], [8], [7], [8], [8], [9], [8], [9], [9], [8], [6, 7], [5, 8], [9], [6, 7]]
[[5, 6], [5, 6], [9], [6, 7], [8], [8], [8], [6, 7], [9], [8], [10], [8], [10], [9], [9], [10], [10], [8], [9], [5, 5], [10], [7], [8], [10], [10], [10], [10], [8], [6, 7], [10], [8], [9], [8], [9], [6, 7], [10], [8]]
[[5, 8], [8], [8], [10], [7], [8], [6, 7], [10], [6, 7], [5, 5], [6], [8], [9], [10], [10], [9], [10], [9], [6], [8], [10], [5, 7], [8], [10], [7], [9], [8], [10], [8], [10], [8], [6, 6], [10], [9], [10], [9], [8], [9]]
[[5, 8], [6, 6], [10], [8], [9], [10], [8], [8], [10], [7], [7], [9], [6, 6], [10], [9], [10], [10], [10], [], [8], [6, 7], [10], [], [10], [5, 5], [7], [8], [9], [8], [10], [6, 7], [9], [9], [8], [8], [10], [9], [8], [5, 8]]
[[8], [5, 7], [8], [8], [8], [5, 7], [6, 6], [8], [10], [10], [10], [10], [10], [9], [10], [], [8], [], [6, 6], [8], [9], [9], [8], [10], [7], [8], [9], [9], [8], [10], [9], [6, 6], [10], [9], [8], [7], [5, 5], [10], [10], [7]]
[[10], [5, 7], [5, 7], [8], [7], [10], [8], [8], [9], [10], [8], [10], [], [10], [5, 5], [], [10], [10], [], [6, 6], [9], [6, 6], [8], [7], [10], [10], [8], [8], [9], [10], [9], [6, 6], [9], [10], [7], [8], [9], [9], [8], [8], [8]]
[[8], [7], [8], [9], [9], [9], [10], [8], [7], [10], [10], [9], [9], [8], [9], [6, 6], [9], [8], [8], [], [10], [8], [7], [10], [], [5, 5], [10], [8], [5, 5], [], [7], [7], [8], [10], [8], [10], [10], [6, 6], [8], [10], [6, 6], [10]]
[[6, 6], [10], [8], [5, 7], [8], [8], [8], [8], [10], [8], [], [10], [8], [], [10], [9], [5, 7], [9], [6, 6], [10], [], [7], [9], [8], [9], [10], [10], [9], [9], [7], [6, 6], [10], [10], [], [], [5, 5], [10], [8], [8], [10], [9], [8], [7]]
[[8], [8], [8], [8], [8], [9], [10], [6], [5], [9], [7], [7], [10], [9], [8], [10], [6], [8], [5], [6], [8], [9], [10], [10], [10], [], [10], [8], [6], [10], [6], [10], [9], [10], [7], [9], [8], [6], [10], [7], [9], [5, 5], [7], [8]]
-EndAllocation

Instance: [[1], [351], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [234, 156, 117, 94, 78, 68, 58, 52, 48, 42, 40, 36, 34, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [176, 117, 88, 71, 59, 51, 44, 39, 36, 32, 30, 27, 26, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6, 6, 9, 9, 9, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7]]
[[7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5], [6, 6, 6, 6, 6, 10]]
[[6, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9], [6, 6, 6, 6, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [5, 5, 5, 5], [7, 7, 7, 7, 7, 7], [9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [10, 10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5, 9, 9]]
[[8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [5, 5, 6, 6, 6, 6, 6], [8, 8, 10, 10], [], [5, 5, 9, 9, 9], [10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [9, 9, 9], [], [5, 5, 5, 5, 7], [], [9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 7], [6, 6, 6, 6, 10], [9, 9, 9], [8, 8, 8, 8], [], [10, 10, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], []]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 10], [8, 8, 8, 8], [9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [5, 5, 5, 5, 9]]
[[9], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [], [6, 6, 6, 6, 6], [8, 8, 8, 8], [], [9, 9, 9], [10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8], [10, 10, 10], [7, 7, 10], [7, 7, 7, 7]]
[[8, 8, 8], [6, 10, 10], [10, 10], [7, 7, 7, 7], [6, 6, 6, 6], [], [9, 9, 9], [7, 7], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [5, 5, 5, 5], [8, 8, 8], [9, 9, 9], [9, 10, 10]]
[[7, 9], [7, 7, 7, 7], [9, 9, 9], [10, 10], [], [], [10, 10], [7, 10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [6, 10, 10], [9, 9, 9], [10, 10], [8, 8, 8], [5, 5, 5, 5], [8, 8, 8]]
[[8, 8, 8], [10, 10], [9, 9], [], [10, 10], [10, 10], [10, 10], [7, 7, 7], [6, 9, 9], [8, 8, 8], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [9], [10, 10], [7, 7, 7], [6, 6, 6, 6], [9, 9]]
[[6], [9, 9], [], [10, 10], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [5, 5, 5, 5], [8, 8, 8], [9, 9], [7, 7, 7], [10, 10], [8, 8, 8], [9, 9], [10, 10], [9], [10, 10], [10, 10], [7, 7, 7]]
[[10, 10], [6, 10], [], [], [8, 8, 8], [], [10, 10], [7, 7, 7], [7, 7, 7], [8, 8, 8], [9, 10], [9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9], [9, 9], [5, 5, 5, 5], [10, 10], [10, 10]]
[[6, 9], [10, 10], [9, 9], [10, 10], [7, 7, 7], [9, 9], [9, 9], [10, 10], [8, 8], [8, 8], [6, 8, 8], [8, 8], [], [10, 10], [5, 5, 5, 5], [10, 10], [8, 8], [7, 7, 7], [6, 6, 6], [], [8, 8]]
[[7, 7, 7], [10, 10], [9, 9], [10, 10], [9], [9, 9], [8, 8], [8, 8], [10, 10], [10, 10], [6, 6, 6], [8, 8], [8, 8], [7, 7, 7], [8, 8], [], [9, 9], [8, 8], [6, 6], [], [5, 5, 5, 5], [10, 10]]
[[8, 8], [7, 7, 7], [], [], [7, 7, 7], [6, 6, 6], [8, 8], [9, 9], [8, 8], [9, 9], [10, 10], [6, 6], [10, 10], [8, 8], [10, 10], [9, 9], [10, 10], [9], [8, 8], [8, 8], [10, 10], [], [5, 5, 5, 5]]
[[8, 8], [7, 7], [7, 7], [], [10, 10], [8, 8], [10, 10], [], [8, 8], [8, 8], [6, 6], [9, 9], [9, 9], [9, 9], [8, 8], [7, 7], [10, 10], [5, 5, 5, 5], [], [9], [10, 10], [6, 6, 6], [8, 8], [10, 10]]
[[5, 5, 5, 5], [9], [10, 10], [8, 8], [10, 10], [], [9, 9], [10, 10], [10, 10], [10, 10], [7, 7], [8, 8], [], [8, 8], [6, 6, 6], [7, 7], [], [8, 8], [], [9, 9], [8, 8], [8, 8], [6], [9, 9], [6, 7, 7]]
[[6, 10], [8, 8], [5, 5, 5], [8, 8], [6, 10], [9, 9], [10], [], [9], [10], [10], [], [10], [8, 8], [7, 7], [8, 8], [7, 7], [7, 10], [9, 9], [8, 8], [8, 10], [9, 9], [8, 10], [7, 10], [5], [6, 6, 6]]
[[7, 7], [5, 5, 5], [8, 8], [10], [8, 8], [10], [7, 10], [9], [6, 6], [8, 8], [], [10], [8, 8], [9], [9], [7, 9], [6, 10], [8, 9], [8, 8], [10], [9], [10], [5, 10], [7, 7], [6, 10], [6, 10], [8, 9]]
[[6, 10], [8, 8], [6, 6], [8, 8], [7, 7], [10], [8, 8], [9], [10], [10], [10], [10], [8, 8], [7, 9], [7, 7], [9], [10], [10], [9], [10], [7, 9], [10], [5, 5, 5], [8, 8], [6, 6], [8, 8], [5, 9], [9]]
[[5, 5, 5], [7, 7], [10], [8, 8], [9], [8, 8], [8, 8], [6, 6], [7, 7], [7, 7], [6, 6], [9], [10], [10], [10], [10], [10], [9], [6, 10], [9], [9], [10], [9], [8, 8], [8, 8], [10], [5, 10], [8, 8], [9]]
[[6, 6], [6, 8], [10], [8], [9], [8, 8], [10], [8, 8], [7, 7], [6, 6], [10], [5, 9], [10], [9], [9], [7, 7], [8, 8], [10], [10], [9], [7, 7], [10], [10], [10], [9], [9], [10], [8, 8], [5, 5, 5], [8, 8]]
[[6, 8], [8, 8], [7, 7], [9], [10], [8], [7, 7], [8, 8], [10], [], [10], [5, 5, 5], [9], [10], [10], [10], [6, 6], [10], [10], [6, 6], [5, 9], [9], [8, 8], [9], [8, 8], [8, 8], [9], [10], [7, 7], [9], [10]]
[[6, 8], [10], [9], [5, 9], [9], [10], [8], [10], [10], [8], [8], [10], [8], [10], [6, 8], [5, 9], [10], [5, 9], [10], [9], [8], [10], [6, 8], [5, 8], [6, 8], [10], [9], [8], [6, 8], [7, 7], [7, 7], [7, 7]]
[[8], [10], [8], [10], [9], [7, 7], [6, 8], [9], [10], [8], [5, 9], [10], [7, 7], [6, 6], [5, 8], [5, 8], [10], [9], [9], [8], [10], [7, 7], [10], [10], [9], [8], [10], [5, 8], [9], [8], [6, 8], [10], [6, 8]]
[[5, 8], [10], [8], [9], [10], [10], [8], [7, 7], [8], [10], [8], [10], [9], [7, 7], [5, 9], [8], [8], [9], [10], [7, 7], [9], [10], [10], [8], [6, 6], [6, 6], [8], [10], [10], [5, 8], [8], [6, 8], [5, 9], [9]]
[[6, 6], [5, 5], [9], [6, 8], [8], [9], [5, 9], [7, 7], [10], [8], [10], [8], [9], [7, 7], [8], [8], [10], [8], [9], [8], [6, 6], [10], [10], [10], [9], [10], [10], [8], [10], [7, 7], [8], [9], [5, 8], [10], [8]]
[[8], [10], [5, 8], [8], [10], [8], [9], [8], [10], [7], [9], [6, 7], [6, 7], [10], [5, 8], [5, 8], [8], [9], [10], [8], [9], [10], [8], [], [9], [9], [6, 7], [9], [6, 7], [10], [5, 8], [10], [8], [10], [6, 7], [10]]
[[6, 6], [9], [5, 7], [10], [8], [7], [8], [8], [8], [10], [8], [8], [8], [10], [10], [8], [5, 8], [10], [9], [10], [10], [7], [9], [10], [10], [9], [9], [6, 7], [9], [7], [9], [5, 8], [6, 6], [8], [7], [5, 8], [10]]
[[7], [5, 8], [6, 6], [10], [8], [10], [8], [10], [8], [8], [7], [8], [6, 6], [10], [9], [10], [10], [9], [10], [9], [9], [9], [8], [7], [8], [8], [10], [8], [8], [9], [5, 7], [8], [7], [5, 5], [10], [6, 7], [10], [9]]
[[9], [9], [10], [9], [6, 6], [5, 5], [8], [7], [8], [8], [10], [8], [10], [8], [5, 7], [8], [8], [7], [7], [8], [7], [10], [10], [10], [5, 7], [8], [10], [8], [9], [10], [6, 6], [9], [8], [9], [8], [10], [6], [9], [10]]
[[7], [8], [7], [8], [5, 5], [9], [7], [6, 6], [9], [8], [5, 5], [8], [8], [8], [8], [10], [8], [8], [7], [6], [10], [9], [9], [9], [10], [9], [9], [10], [10], [8], [10], [8], [10], [10], [8], [10], [7], [6, 6], [10], [7]]
[[7], [6, 6], [9], [10], [9], [10], [8], [7], [9], [8], [9], [8], [8], [10], [5, 5], [8], [8], [8], [9], [7], [7], [10], [9], [6, 6], [9], [10], [8], [5, 5], [7], [10], [7], [8], [10], [8], [10], [6], [], [10], [8], [8], [10]]
[[9], [8], [8], [10], [7], [5, 5], [8], [8], [6, 6], [10], [5, 5], [9], [10], [8], [8], [8], [], [10], [7], [10], [10], [10], [8], [7], [], [8], [10], [7], [8], [9], [7], [7], [8], [10], [9], [9], [6, 6], [9], [6], [9], [8], [10]]
[[6, 6], [8], [10], [6], [8], [8], [10], [7], [8], [8], [7], [8], [], [8], [8], [10], [8], [], [6, 6], [10], [9], [7], [9], [7], [], [10], [10], [9], [9], [7], [9], [10], [10], [10], [9], [5, 5], [10], [8], [8], [7], [9], [8], [5, 5]]
[[10], [8], [6], [6], [10], [8], [8], [10], [], [8], [8], [8], [8], [7], [9], [7], [7], [10], [], [9], [7], [10], [7], [6], [10], [8], [10], [9], [5, 5], [9], [7], [9], [5, 5], [8], [8], [8], [9], [8], [10], [6], [9], [10], [10], [6]]
-EndAllocation

Instance: [[1], [350], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10], [8, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10]]
[[4, 4, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5]]
[[4, 4, 6, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 10], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 4, 5, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 9], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[4, 5, 9], [8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 10], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [4, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8], [4, 4, 5, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 9, 9], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9, 9]]
[[4, 4, 5, 10, 10, 10], [9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7]]
[[5, 8, 8, 8, 8, 8], [], [10, 10, 10, 10], [9, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7, 7], [4, 4, 8, 10, 10], [8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [9, 9, 9, 9], [], [7, 7, 7, 7, 7], [8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10], [4, 4, 5, 10, 10], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [10, 10], [], [9, 9, 9, 9], [6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [4, 4, 10, 10, 10], [10, 10, 10]]
[[9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [], [6, 10, 10, 10], [10], [4, 10, 10, 10], [4, 5, 8, 8, 8], [7, 7, 7, 7, 7], [], [9, 9, 9, 9]]
[[4, 4, 5, 8, 8], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [6, 6, 7, 7, 7], [8, 8, 10], [8, 8], [8, 9, 9], [8, 8], [7, 7, 8, 8], [9, 9, 9]]
[[4, 4, 5, 9, 9], [], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [6, 6], [8, 8, 8, 8], [10], [9, 9, 9], [10, 10, 10], [7, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [], [6, 6, 6, 6, 6]]
[[4, 4, 8, 8], [10, 10], [6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [], [10, 10], [9, 10, 10], [8, 8, 8], [5, 10, 10], [7], [8, 8, 8], [9, 9, 9], [10, 10], [6, 6, 6, 9], [7, 7, 7, 7]]
[[4, 8, 8, 8], [10, 10], [9, 9, 9], [10, 10], [9, 9, 9], [], [8, 8, 8], [4, 10, 10], [6, 6, 6], [5, 7, 7, 7], [7, 8, 10], [8, 9, 9], [7, 10, 10], [10], [6, 6, 6, 6], [8, 8, 8], []]
[[8, 8, 8], [10, 10], [9, 9], [], [6, 6, 6, 6], [6, 6, 9], [10, 10], [10, 10], [9, 9], [4, 4, 8, 8], [8, 8, 8], [5, 9], [7, 7, 7], [10, 10], [8, 8, 8], [6, 10, 10], [7, 7], [9, 9]]
[[8, 8, 8], [9, 9], [], [10, 10], [8, 8], [8, 8, 8], [], [9, 9], [8, 8, 8], [5, 10, 10], [4, 10, 10], [4, 6, 6, 6], [6, 6, 6, 6], [7, 7, 7], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7]]
[[6, 8, 8], [10, 10], [], [], [8, 8], [7, 7, 7], [7, 7], [10, 10], [4, 4, 6, 8], [6, 8, 8], [6, 8, 8], [6, 9, 9], [6, 9, 9], [5, 8, 8], [6], [9, 9], [9, 9], [10, 10], [10, 10], [10, 10]]
[[4, 8, 8], [10, 10], [8, 9], [], [7, 7, 7], [6, 6, 9], [9], [6, 6], [6, 8, 8], [4, 8, 8], [10, 10], [10, 10], [9, 10], [5, 6, 6], [9, 10], [7, 7, 8], [8, 8], [10, 10], [9], [8, 9], [9]]
[[8, 8], [], [9, 9], [9, 9], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [5, 8, 8], [8, 8], [9, 10], [6, 6, 6], [4, 4], [8, 10], [7, 7], [9, 10], [10], [9, 9], [6], [8, 8], [10, 10], [10, 10]]
[[4, 4, 8], [9, 9], [], [6, 6, 6], [7, 7], [9], [5, 8, 8], [10, 10], [8, 8], [9, 10], [9, 10], [6, 7, 7], [6, 6, 7], [8, 8], [6, 10], [9, 10], [8, 8], [9, 9], [], [8, 8], [10, 10], [], [10, 10]]
[[4, 8, 8], [7, 7], [7, 7], [], [10, 10], [8, 8], [9, 9], [6, 6, 7], [8, 8], [4, 8], [9, 9], [10, 10], [9, 9], [5, 6, 6], [6], [8, 8], [], [10, 10], [10, 10], [9, 9], [], [6, 6], [8, 8], [10, 10]]
[[8, 8], [4, 7, 7], [6, 6, 6], [7, 10], [6, 10], [5, 10], [7, 7], [9, 9], [], [10], [8, 10], [9, 9], [8, 8], [10], [9, 9], [6, 6, 6], [10], [8, 8], [4], [9, 9], [10], [8, 8], [10], [10], [8, 8]]
[[4, 4, 6], [8, 8], [5, 10], [6, 6, 6], [10], [8, 8], [], [8, 8], [9, 9], [10], [10], [], [9, 9], [9, 9], [8, 10], [10], [7, 10], [7, 7], [8, 8], [7, 7], [10], [10], [9, 9], [6, 6, 6], [10], [8, 8]]
[[8, 8], [8, 8], [4, 6, 7], [8, 9], [6, 10], [4, 8], [6, 6], [7, 10], [7, 9], [8, 9], [8, 9], [8], [7, 10], [9], [9], [9], [10], [10], [10], [7, 10], [8], [10], [8, 9], [6, 6], [10], [6, 10], [5]]
[[8, 8], [7, 7], [5, 10], [7, 10], [6, 6], [4, 4, 9], [6, 10], [6, 9], [7, 10], [8, 8], [7, 8], [6, 9], [10], [8, 9], [6, 6], [10], [9], [9], [8, 8], [10], [9], [9], [8], [10], [10], [10], [], [8, 8]]
[[6, 8], [8, 8], [4, 4, 9], [8, 9], [6, 6], [6, 10], [7, 10], [9], [10], [6, 10], [10], [9], [10], [], [7, 9], [9], [7, 9], [10], [8, 9], [5, 6, 6], [], [], [8, 8], [10], [7, 10], [7, 10], [], [8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 6, 6], [6, 9], [8, 8], [6, 10], [10], [7, 8], [6, 10], [10], [10], [8, 8], [7, 9], [], [6, 10], [7, 9], [8, 8], [10], [10], [9], [7, 7], [9], [10], [9], [6, 9], [9], [], [], [5], [4, 10]]
[[10], [], [4, 10], [4, 10], [7, 9], [7, 9], [], [6, 6], [6, 6], [7, 9], [8, 8], [7, 8], [10], [9], [9], [10], [10], [], [10], [8, 8], [9], [], [6, 10], [8, 8], [8, 8], [9], [7, 9], [6, 10], [5], [6, 10], [8, 8]]
[[5, 9], [10], [6, 8], [9], [6, 8], [8], [6, 7], [9], [6, 8], [7, 7], [10], [6, 8], [4, 10], [6, 8], [10], [9], [10], [9], [8], [10], [10], [10], [10], [9], [8], [8], [9], [10], [8], [7, 7], [6, 8], [4, 9]]
[[6, 7], [6, 7], [4, 10], [6, 7], [5, 8], [10], [10], [6, 8], [7, 7], [10], [8], [9], [8], [8], [6, 8], [8], [9], [6, 8], [8], [10], [6, 8], [4, 9], [10], [9], [8], [9], [10], [10], [9], [10], [9], [10], [9]]
[[5, 8], [6, 8], [7, 7], [4, 8], [6, 8], [8], [9], [7], [9], [8], [10], [10], [9], [9], [10], [9], [10], [10], [6, 6], [9], [8], [6, 8], [10], [10], [6, 8], [8], [9], [9], [4, 10], [10], [], [6, 8], [7, 7], [10]]
[[4, 9], [10], [4, 9], [9], [6, 7], [8], [8], [9], [10], [6, 7], [8], [6, 7], [9], [10], [6, 6], [8], [8], [8], [8], [8], [9], [10], [10], [6, 7], [8], [9], [10], [9], [10], [10], [10], [6, 7], [8], [5, 8], [10]]
[[10], [9], [8], [9], [10], [5, 7], [6, 7], [10], [8], [9], [8], [8], [8], [6, 6], [6, 7], [10], [9], [10], [8], [10], [10], [6, 6], [9], [8], [10], [8], [9], [9], [8], [4, 8], [7], [10], [9], [10], [6, 7], [4, 8]]
[[9], [4, 8], [9], [8], [8], [9], [8], [10], [8], [10], [], [10], [10], [9], [10], [9], [8], [8], [10], [8], [8], [10], [6, 7], [6, 7], [8], [9], [6, 7], [6, 7], [9], [6, 6], [10], [7], [9], [10], [5, 6], [4, 8], [10]]
[[4, 6], [4, 9], [8], [6, 6], [9], [6], [9], [9], [6, 7], [9], [7], [8], [8], [8], [8], [10], [10], [8], [9], [8], [6, 7], [8], [6, 7], [10], [8], [10], [10], [10], [10], [9], [], [10], [10], [7], [10], [9], [8], [5, 8]]
[[4, 8], [8], [4, 8], [8], [8], [8], [8], [10], [6], [9], [8], [10], [8], [8], [7], [9], [10], [6, 6], [10], [10], [6, 6], [10], [10], [5, 7], [10], [6, 6], [10], [9], [7], [], [7], [9], [9], [9], [8], [7], [9], [9], [10]]
[[4, 8], [8], [8], [8], [8], [], [6, 6], [8], [7], [10], [8], [9], [10], [7], [9], [9], [6, 6], [9], [10], [10], [7], [8], [7], [9], [7], [10], [8], [8], [6], [9], [10], [9], [10], [10], [10], [10], [5], [9], [6, 6], [4, 8]]
[[7], [8], [8], [8], [8], [6], [4], [9], [7], [9], [8], [], [9], [10], [6, 6], [10], [8], [10], [10], [6, 6], [], [10], [9], [8], [10], [8], [9], [9], [6, 6], [10], [9], [8], [7], [8], [7], [10], [10], [10], [5, 7], [9], [4, 8]]
[[8], [5, 7], [9], [8], [8], [6, 6], [10], [10], [6, 6], [8], [10], [9], [10], [8], [], [7], [10], [10], [7], [8], [10], [], [8], [6], [], [10], [10], [7], [8], [9], [7], [8], [8], [10], [9], [9], [6, 6], [9], [9], [9], [8], [4, 4]]
[[4, 8], [8], [8], [10], [6], [7], [6, 6], [10], [10], [6, 6], [9], [9], [4, 8], [10], [8], [9], [7], [9], [10], [9], [10], [8], [8], [7], [10], [10], [9], [8], [], [6, 6], [], [9], [8], [9], [10], [8], [7], [7], [8], [], [10], [], [5]]
[[8], [6], [6], [10], [], [6], [8], [4, 6], [8], [8], [6], [8], [7], [9], [8], [9], [10], [8], [9], [10], [7], [9], [9], [], [8], [7], [10], [9], [10], [10], [10], [10], [5], [10], [7], [6], [9], [7], [10], [8], [8], [8], [4, 6], [9]]
-EndAllocation

Instance: [[1], [349], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[1, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9]]
[[1, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10]]
[[1, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10]]
[[1, 9, 9, 9, 9, 9, 9, 9, 9], [5, 10, 10, 10, 10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 7, 7, 8, 8]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 9], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [10], [6, 6, 6, 6, 6, 6, 10, 10, 10]]
[[1, 5, 5, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [8, 8, 8, 8, 9, 9]]
[[1, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [], [5, 5, 7, 7, 7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[1, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [5, 5, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6, 6, 8], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[1, 9, 9, 9, 9], [8, 10, 10], [], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [5, 5], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[1, 8, 8, 8, 8], [7, 7, 7, 7, 7], [], [10, 10, 10, 10], [10, 10], [9, 9, 9, 9], [7], [10, 10, 10, 10], [5, 5, 8, 8], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[1, 7, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], [5, 5, 10], [], [7, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9, 9]]
[[1, 8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9], [5, 5], [10, 10, 10], [9, 9, 9], [6], [7, 7, 10], [8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8]]
[[1, 10, 10, 10], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [6, 10], [5, 5, 9, 9], [9, 9, 9], [8, 8, 8], [7, 7], [10, 10, 10], [], []]
[[1, 8, 8, 8], [10, 10], [6, 10, 10], [7, 7, 8], [6, 6, 6, 6], [5, 5], [10, 10], [], [8, 10, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [6, 9, 9], [9, 9, 9], [9, 9, 9], [8, 8, 8]]
[[1, 8, 8], [], [9, 9, 9], [10, 10], [6, 10, 10], [], [10, 10], [7, 10, 10], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [7, 10, 10], [9, 9, 9], [6, 9, 9], [8, 8, 8], [5, 5]]
[[1, 8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [6, 10, 10], [10, 10], [8, 8, 8], [9, 9], [5, 5, 8, 8], [8, 8, 8], [10, 10], [], [7, 7, 7], [10, 10], [7, 7, 7], [6, 9, 9], [9, 9]]
[[1, 9, 9], [6, 6, 6, 6], [], [10, 10], [8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [5, 10, 10], [], [6, 6], [8, 8], [9, 9], [5, 10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7]]
[[1, 8, 8], [10, 10], [], [], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9], [7, 7, 7], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [5, 5], [7, 7, 7], [9, 9], [6, 6], [10, 10]]
[[1, 5, 5, 6], [7, 7, 7], [9, 9], [10, 10], [7, 7, 7], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8], [6, 6, 6], [8, 8], [8, 8], [10, 10], [10, 10], [8, 8], [8, 8], [6, 6, 8], [9, 9], [], []]
[[1, 7, 7], [9, 9], [5, 8, 8], [10, 10], [6, 6, 6], [9, 9], [8, 8], [10, 10], [10, 10], [5, 8, 8], [8, 8], [6, 6, 6], [7], [8, 8], [7, 7, 7], [9, 9], [], [9, 9], [], [8], [10, 10], [10, 10]]
[[1, 8, 8], [9, 9], [], [5, 5], [7, 7, 7], [9, 9], [], [8, 8], [8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [], [7, 7, 7], [9, 9], [10, 10], [9, 9], [6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10]]
[[1, 7, 7], [7, 7], [7, 7], [], [10, 10], [8, 8], [9, 9], [10, 10], [8, 8], [8, 8], [9, 9], [9, 9], [6, 6, 6], [6, 6, 6], [], [5, 5, 8], [10, 10], [10, 10], [], [8, 8], [9, 9], [10, 10], [8, 8], []]
[[1, 10], [9, 9], [8, 8], [8, 8], [10], [10], [8, 10], [10], [8, 8], [10], [7, 7], [7, 7], [9, 9], [8, 8], [5, 5], [6, 6, 6], [10], [8, 8], [10], [9, 9], [9, 9], [6, 6, 6], [10], [10], [7, 7]]
[[1, 8, 8], [7, 10], [8, 8], [8, 8], [8, 10], [7, 7], [10], [5, 5], [9, 9], [10], [], [], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [7, 10], [9, 9], [6, 6, 6], [], [10], [8, 8], [8, 10], [8, 10], [10]]
[[1, 10], [10], [6, 6], [10], [8, 8], [5, 9], [8, 8], [9], [6, 9], [10], [9], [10], [7, 7], [10], [8, 8], [8, 8], [6, 6], [10], [7, 9], [5, 10], [10], [9], [8, 8], [7, 7], [7, 10], [6, 9], [8, 9]]
[[1, 9], [8, 8], [6, 10], [7, 7], [10], [10], [10], [10], [10], [9], [8, 9], [6, 6], [10], [7, 7], [5, 9], [9], [8, 8], [10], [7, 7], [8, 8], [9], [10], [10], [9], [6, 9], [8, 8], [5, 6, 6], [8, 8]]
[[1, 6, 10], [5, 5], [10], [8, 8], [8, 8], [6, 10], [10], [6, 6], [8, 8], [8, 8], [7, 7], [9], [9], [10], [], [10], [9], [6, 9], [7, 7], [8, 8], [10], [6, 10], [10], [9], [7, 7], [9], [9], [8, 9], [10]]
[[1, 10], [5, 8], [8, 8], [8, 8], [10], [9], [9], [8, 8], [9], [6, 6], [6, 10], [9], [10], [10], [6, 9], [7, 7], [8, 8], [10], [10], [5, 9], [7, 7], [10], [10], [], [6, 6], [9], [7, 7], [9], [10], [8, 8]]
[[1, 5, 10], [7, 7], [10], [9], [9], [8, 8], [8, 8], [8, 8], [6, 6], [6, 6], [8, 8], [], [], [10], [9], [9], [6, 10], [10], [10], [7, 7], [10], [10], [9], [10], [5, 8], [9], [6, 9], [9], [7, 7], [8, 8], [10]]
[[7, 7], [6, 8], [6, 8], [10], [7, 7], [6, 8], [10], [10], [10], [8], [6, 8], [10], [6, 8], [10], [9], [9], [7, 7], [8], [9], [5, 9], [9], [10], [10], [10], [8], [8], [5, 9], [8], [6, 8], [9], [10], [1, 9]]
[[1, 9], [9], [8], [9], [9], [9], [8], [7, 7], [10], [10], [10], [10], [5, 8], [10], [9], [8], [10], [10], [10], [8], [9], [7, 7], [9], [8], [5, 8], [10], [6, 8], [10], [6, 6], [6, 8], [6, 8], [7, 7], [6, 8]]
[[1, 8], [9], [10], [7, 7], [10], [10], [7, 7], [10], [8], [10], [9], [5, 9], [9], [10], [8], [8], [6, 6], [9], [6, 6], [8], [8], [10], [10], [8], [10], [9], [9], [10], [8], [5, 9], [6, 8], [7, 7], [6, 8], [8]]
[[10], [5, 8], [10], [5, 8], [9], [6, 7], [8], [9], [10], [8], [9], [10], [9], [6, 7], [10], [9], [10], [10], [9], [8], [8], [10], [8], [8], [9], [6, 7], [10], [9], [1, 8], [6, 7], [8], [6, 7], [6, 7], [8], [10]]
[[1, 7], [10], [8], [9], [8], [7], [10], [10], [6, 6], [5, 8], [8], [8], [10], [8], [8], [9], [8], [8], [9], [5, 8], [10], [8], [9], [9], [6, 7], [9], [9], [9], [6, 7], [10], [10], [10], [6, 7], [10], [6, 7], [10]]
[[1, 6, 6], [7], [10], [8], [9], [7], [8], [10], [8], [6, 7], [10], [10], [9], [10], [9], [8], [8], [10], [7], [5, 8], [10], [8], [10], [8], [9], [9], [9], [6, 7], [9], [10], [6, 6], [8], [5, 8], [9], [7], [8], [10]]
[[1, 9], [8], [5, 8], [6, 6], [10], [6, 6], [9], [10], [8], [10], [7], [7], [8], [8], [9], [8], [10], [9], [8], [9], [5, 8], [10], [10], [9], [8], [10], [10], [8], [7], [10], [7], [8], [7], [9], [6, 6], [9], [10], [7]]
[[1, 5, 5], [8], [7], [6, 6], [10], [8], [8], [8], [8], [10], [8], [9], [8], [8], [7], [9], [10], [7], [7], [9], [9], [9], [10], [9], [6, 6], [10], [8], [10], [8], [10], [6, 6], [7], [9], [9], [8], [10], [7], [10], [10]]
[[1, 8], [7], [9], [], [7], [9], [8], [8], [10], [10], [8], [10], [6, 6], [10], [7], [5, 5], [8], [9], [8], [8], [9], [9], [10], [10], [10], [8], [9], [9], [7], [7], [10], [6, 6], [7], [8], [8], [10], [8], [6, 6], [10], [9]]
[[1, 5, 5], [8], [9], [8], [7], [9], [7], [8], [9], [8], [9], [8], [8], [10], [6, 6], [10], [8], [10], [9], [6, 6], [], [10], [9], [9], [9], [6, 6], [8], [10], [7], [10], [7], [8], [7], [8], [10], [10], [], [10], [7], [10], [8]]
[[1, 9], [8], [10], [10], [7], [8], [10], [6, 6], [7], [8], [8], [7], [10], [10], [], [6, 6], [10], [8], [9], [9], [7], [], [8], [7], [], [8], [10], [7], [8], [9], [10], [8], [8], [9], [10], [10], [6, 6], [9], [9], [9], [8], [5, 5]]
[[8], [9], [10], [8], [7], [8], [10], [6, 6], [8], [8], [8], [6, 6], [8], [], [9], [8], [10], [], [9], [10], [7], [9], [10], [6, 6], [10], [9], [], [10], [], [5, 5], [7], [9], [7], [10], [10], [8], [10], [8], [8], [7], [9], [9], [1, 7]]
[[10], [6], [5, 5], [10], [10], [9], [8], [10], [8], [8], [8], [8], [6], [6], [9], [7], [], [10], [7], [8], [8], [9], [8], [9], [10], [9], [10], [6], [9], [6], [], [7], [8], [7], [7], [7], [9], [8], [10], [8], [10], [10], [6], [1, 9]]
-EndAllocation

Instance: [[1], [348], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [3, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 5, 6, 6, 6, 6, 6, 6, 6, 9], [4, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 4, 5, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8], [3, 4, 5, 10, 10, 10, 10, 10, 10, 10, 10], [], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[3, 4, 5, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 8]]
[[3, 4, 5], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [7, 7, 10, 10, 10, 10]]
[[3, 4, 5, 8, 8, 8, 8, 10], [8, 8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 9], [8, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9, 9]]
[[3, 4, 5, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 10]]
[[3, 4, 5, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 10], [6, 10], [9, 9, 9, 9, 10], [10], [8, 8, 8, 8, 10], [9, 9, 9, 10], [7, 7, 7, 7, 7, 10], [8, 10], [8, 8, 8, 8, 10]]
[[3, 4, 5, 10, 10], [9, 9, 9, 10], [10, 10], [], [7, 7, 7, 7, 7], [8, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10], [8, 8, 8, 8, 10], [8, 8, 8, 8, 10]]
[[3, 4, 5, 8, 8, 8], [], [10, 10], [9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [6, 8, 8, 8], [8, 8, 8], [8, 8, 10, 10], [8, 10, 10, 10]]
[[3, 4, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [], [10, 10, 10], [10, 10, 10], [6, 7, 10], [8, 8, 8, 8], [5, 7, 7, 7, 7], [], [9, 9, 9, 9]]
[[3, 4, 8, 8, 8], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [6, 6, 7, 7], [10], [8, 8, 8, 8], [5, 9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 8], [9]]
[[3, 5, 8, 8, 8], [], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10], [9, 9, 9], [4, 8, 10, 10], [9], [7, 7, 7, 7], [10, 10, 10], [], [6, 6, 7]]
[[4, 8, 8, 8], [10, 10], [6, 6, 6, 8], [7, 8, 8], [6, 6, 6, 6], [], [10, 10], [9], [8, 8, 8], [3, 5, 10, 10], [10, 10], [8, 8, 8], [9, 9, 9], [10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[3, 4, 8, 8], [10], [6, 9], [10], [6, 6, 6, 10], [8, 8, 8], [10], [7, 7, 10], [8, 8, 8], [8, 8, 8], [5, 7, 7, 8], [9, 9, 9], [7, 10, 10], [9, 9, 9], [6, 6, 6, 10], [10], [10]]
[[3, 4, 8, 8], [10, 10], [9, 9], [], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [5, 8, 9], [6, 8, 8], [8, 8, 8], [8], [7, 7], [6, 10, 10], [8, 8, 8], [6, 10, 10], [7, 7, 7], [9, 9]]
[[8, 8, 8], [], [], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [8, 8, 8], [3, 4, 5, 9], [10, 10], [6, 6, 6], [6, 6, 6, 6], [7, 7], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7]]
[[3, 4, 8, 8], [10, 10], [10, 10], [], [8, 8, 8], [7, 7], [6, 6, 6], [6, 6, 6, 6], [7, 7, 7], [5, 8, 9], [], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [], [9, 9], [10, 10], [10, 10], [10, 10]]
[[3, 4, 5, 8], [10, 10], [9, 9], [], [7, 7, 7], [9, 9], [9, 9], [10, 10], [8, 8], [6, 8, 8], [6, 6, 6], [6, 10], [8, 10], [6, 6, 10], [8, 10], [8, 10], [8, 8], [7, 10], [7, 9], [], [8, 8]]
[[4, 8, 8], [], [], [9, 9], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [8, 8], [5, 8, 8], [10, 10], [3, 6, 6, 6], [8, 8], [10, 10], [6, 7, 7], [9], [], [9, 9], [9, 9], [8, 8], [10, 10], [10, 10]]
[[3, 8, 8], [9, 9], [], [], [7, 7, 7], [9, 9], [8, 8], [10, 10], [8, 8], [6, 6, 6], [5, 8, 8], [4, 7, 10], [6, 6, 6], [7, 10], [10, 10], [9, 9], [8, 8], [6, 9], [], [8, 8], [10, 10], [], [10, 10]]
[[3, 8, 8], [7], [7, 7], [], [10, 10], [8, 8], [9, 9], [7, 7], [8, 8], [4, 8, 8], [5, 6, 8], [10, 10], [9, 9], [6, 6, 6], [], [8, 9], [], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [10, 10]]
[[8, 8], [3, 4, 5, 6], [7, 7], [8, 10], [10], [10], [7, 10], [9], [], [10], [8, 8], [9, 9], [8, 8], [10], [9, 9], [6, 6, 6], [10], [8, 8], [10], [9, 9], [7, 7], [8, 8], [10], [8, 10], [6, 6, 6]]
[[3, 4, 9], [8, 8], [5, 6], [], [8, 10], [7, 7], [10], [10], [8, 8], [10], [10], [], [9, 9], [9, 9], [8, 8], [9, 9], [6, 6, 6], [7, 10], [8, 8], [7, 7], [10], [8, 10], [10], [6, 6, 6], [10], [8, 8]]
[[8, 8], [8, 8], [3, 4, 10], [6, 9], [10], [5, 9], [6, 10], [7, 7], [8, 8], [6, 9], [6, 9], [9], [9], [6, 9], [10], [6, 10], [10], [10], [6, 10], [], [7, 7], [10], [8, 8], [8, 8], [], [7, 10], [8, 8]]
[[8, 8], [3, 4, 9], [7, 7], [8, 8], [7], [5, 10], [10], [6, 10], [6, 6], [9], [10], [10], [], [9], [7, 7], [6, 9], [10], [8, 8], [9], [6, 10], [8, 8], [10], [10], [6, 9], [8, 8], [9], [6, 10], [8, 8]]
[[8, 8], [3, 4, 8], [6, 6], [8, 8], [6, 10], [8], [10], [7, 7], [10], [6, 9], [8, 8], [9], [9], [10], [9], [], [10], [9], [10], [8, 8], [10], [6, 10], [10], [9], [6, 6], [8, 8], [7, 9], [7, 7], [5, 10]]
[[8, 8], [3, 4, 5], [], [7, 9], [7, 9], [8, 8], [7, 9], [7, 9], [8, 8], [9], [8, 8], [8, 8], [7, 9], [8, 8], [9], [6, 10], [], [10], [10], [10], [6, 10], [10], [10], [10], [6, 10], [6, 6], [10], [6, 6], [], []]
[[3, 4, 8], [8, 8], [5, 9], [10], [6, 9], [10], [6, 6], [10], [10], [9], [7, 8], [], [8, 8], [9], [9], [], [9], [10], [6, 6], [8, 8], [7, 7], [10], [6, 6], [8, 8], [8, 8], [9], [7, 7], [10], [10], [10], [10]]
[[6, 8], [3, 8], [4, 9], [8], [6, 8], [9], [10], [6, 8], [10], [10], [8], [5, 8], [6, 8], [9], [10], [6, 8], [10], [10], [9], [10], [10], [8], [9], [6, 8], [10], [9], [10], [8], [6, 7], [7, 7], [9], [7, 7]]
[[7, 7], [5, 8], [6, 8], [6, 8], [3, 9], [9], [10], [8], [8], [9], [8], [10], [7], [10], [10], [8], [7, 7], [10], [8], [10], [9], [6, 6], [6, 8], [10], [10], [9], [10], [10], [9], [9], [6, 8], [6, 8], [4, 8]]
[[3, 8], [5, 9], [10], [6, 8], [6, 8], [10], [8], [10], [8], [10], [8], [7], [8], [10], [7, 7], [10], [7, 7], [], [6, 6], [10], [9], [9], [4, 8], [9], [6, 8], [9], [8], [10], [10], [9], [6, 8], [10], [9], [6, 8]]
[[3, 8], [4, 8], [10], [8], [9], [10], [8], [10], [10], [5, 8], [8], [6, 7], [8], [10], [6, 7], [6, 7], [9], [9], [10], [8], [9], [10], [8], [8], [6, 7], [8], [9], [10], [9], [10], [8], [6, 7], [10], [6, 6], [9]]
[[3, 10], [10], [6, 7], [10], [8], [6, 6], [], [6, 7], [5, 8], [10], [10], [10], [4, 8], [9], [9], [9], [9], [8], [8], [8], [8], [10], [8], [8], [9], [8], [6, 7], [10], [6, 7], [8], [9], [8], [10], [6, 7], [9], [10]]
[[3, 8], [8], [4, 9], [7], [9], [9], [9], [10], [10], [6, 6], [8], [8], [7], [10], [7], [9], [9], [6, 6], [8], [10], [9], [7], [6, 6], [10], [8], [8], [8], [8], [10], [10], [10], [8], [10], [8], [6, 7], [5, 8], [10]]
[[3, 8], [4, 9], [6, 7], [9], [10], [10], [6, 6], [6, 7], [10], [6, 6], [10], [8], [9], [10], [9], [10], [8], [10], [8], [8], [8], [9], [10], [8], [10], [10], [8], [9], [8], [9], [], [5], [8], [7], [8], [6, 7], [8], [7]]
[[10], [10], [8], [9], [8], [8], [7], [9], [7], [7], [10], [10], [10], [9], [10], [9], [9], [8], [10], [10], [9], [9], [10], [10], [8], [8], [8], [8], [6, 6], [6, 6], [8], [6], [7], [5, 7], [6], [8], [8], [4, 6], [3, 8]]
[[3, 8], [8], [8], [5, 6], [8], [8], [7], [10], [7], [10], [6, 6], [9], [10], [], [10], [8], [8], [7], [], [8], [9], [9], [7], [10], [10], [8], [9], [9], [8], [10], [10], [6, 6], [7], [9], [8], [10], [9], [6, 6], [10], [4, 8]]
[[3, 9], [6, 6], [4, 8], [10], [10], [6], [10], [10], [10], [8], [9], [8], [10], [10], [10], [10], [8], [7], [9], [5, 7], [8], [7], [9], [6, 6], [8], [7], [8], [9], [9], [8], [7], [9], [8], [8], [], [], [10], [8], [8], [], [6, 6]]
[[4, 7], [10], [6, 6], [10], [10], [8], [10], [8], [5, 6], [10], [10], [10], [7], [6, 6], [6, 6], [10], [8], [7], [8], [7], [8], [9], [9], [9], [9], [9], [8], [8], [8], [8], [], [10], [9], [10], [], [], [7], [], [8], [9], [8], [3, 8]]
[[9], [8], [8], [8], [6], [10], [8], [10], [10], [10], [10], [10], [10], [7], [10], [9], [7], [10], [8], [8], [8], [6, 6], [6, 6], [7], [8], [9], [9], [8], [9], [6, 6], [10], [8], [], [], [9], [], [7], [9], [7], [8], [8], [], [3, 4, 5]]
[[6], [], [9], [8], [9], [7], [8], [10], [7], [9], [8], [6], [8], [], [6], [8], [8], [4, 6], [7], [8], [8], [9], [7], [8], [10], [8], [10], [3, 6], [9], [10], [10], [10], [10], [5], [9], [10], [10], [7], [10], [6], [6], [9], [8], [8]]
-EndAllocation

Instance: [[1], [347], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [3, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 9], [3, 5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8], [3, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 10, 10], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8]]
[[3, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [6, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [9, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8], [3, 5, 5, 5, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9, 9]]
[[3, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 5, 9, 9, 9]]
[[3, 8, 8, 8, 8, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 5, 5, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7, 7], [9, 10], [8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [5, 9, 9, 9, 9], [], [], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 9, 9, 9, 9], [10, 10, 10, 10], [3, 5, 8, 8, 10], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [], [], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [5, 10, 10, 10], [5, 8, 8, 8, 8], [3, 8, 8, 8, 8], [10, 10, 10], [10, 10, 10]]
[[9, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10], [8, 8, 8, 8], [], [10, 10], [5, 10, 10, 10], [3, 5, 5, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [6, 7, 7], [], [7, 8, 8, 8], [3, 5, 5, 9, 9], [5, 8, 8, 8], [7, 7, 8, 8], [9, 9, 9]]
[[3, 6, 6, 6, 7], [7, 10], [9, 9, 9], [10], [8, 8, 8, 8], [10], [8, 8, 8, 8], [9, 9, 10], [9, 9, 9], [5, 5, 5, 10], [8, 8, 8, 8], [7, 10], [7, 10], [7, 10], [6, 6, 6, 10]]
[[5, 8, 8, 8], [10, 10], [6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [], [10, 10], [], [8, 8, 8], [3, 10, 10], [7, 10, 10], [8, 8, 8], [5, 9, 9], [5, 6, 6, 10], [9, 9, 9], [7, 7, 7, 7]]
[[3, 8, 8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 10], [8, 8, 8], [], [7, 10, 10], [8, 8, 8], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [10, 10], [9, 9, 9], [6, 6, 6, 6], [], [5, 5, 5]]
[[8, 8, 8], [10, 10], [9, 9], [], [6, 6, 6, 6], [], [10, 10], [9, 9], [8, 9, 9], [8, 8, 8], [3, 5, 8, 10], [8], [7, 7], [5, 10, 10], [8, 8, 8], [6, 10, 10], [5, 7, 7, 7], [6, 9, 9]]
[[8, 8, 8], [], [], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [8, 8, 8], [3, 9, 9], [7, 10], [6, 6], [6, 6, 6, 6], [5, 5, 5, 7], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7]]
[[8, 8, 8], [10, 10], [10, 10], [], [8, 8, 8], [9, 9], [9, 10], [6, 6, 6, 6], [7, 7, 7], [3, 6, 6, 9], [], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [], [7, 7], [5, 5, 5], [10, 10], [10, 10]]
[[6, 8, 8], [10, 10], [9, 9], [], [7, 7, 7], [8, 9], [9, 9], [6, 6, 10], [8, 8], [3, 8, 8], [10, 10], [9], [10, 10], [6, 6, 6], [10, 10], [5, 8, 8], [5, 5, 8], [7, 7], [9, 9], [], [8, 8]]
[[3, 8, 8], [], [], [9, 9], [5, 10], [8, 8], [7, 7], [5, 5, 10], [8, 8], [8, 8], [10, 10], [6, 6, 6], [8, 8], [9, 10], [7, 7, 7], [9, 9], [9], [9, 9], [6, 6, 6], [8, 8], [10, 10], [10, 10]]
[[3, 8, 8], [9, 9], [], [5, 5, 5], [7, 7, 7], [9, 9], [8, 8], [10], [8, 8], [6, 6, 6], [10, 10], [7, 7], [6, 6, 6], [8, 8], [10, 10], [9, 9], [8, 8], [9, 9], [], [8, 8], [10, 10], [], [10, 10]]
[[3, 8, 8], [7], [7, 7], [5, 5, 5], [10, 10], [8, 8], [9, 9], [7, 7], [8, 8], [8, 8], [9, 9], [10, 10], [9, 9], [6, 6, 6], [], [8, 8], [], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [10]]
[[8, 8], [3, 5, 10], [7, 8], [5, 10], [10], [10], [7, 7], [9, 9], [6, 6, 6], [10], [7, 7], [9, 9], [8, 8], [10], [10], [6, 6, 6], [], [8, 8], [], [9, 9], [5, 10], [8, 8], [9, 9], [8, 10], [8, 8]]
[[9, 9], [8, 8], [3], [], [8, 10], [7], [10], [7, 7], [8, 8], [10], [10], [10], [5, 5, 5], [9, 9], [8, 8], [9, 9], [6, 6, 6], [10], [8, 8], [7, 7], [10], [8, 10], [9, 9], [6, 6, 6], [10], [8, 8]]
[[8, 8], [8, 8], [3, 10], [9], [7, 7], [10], [10], [7, 7], [8, 8], [6, 9], [10], [9], [5, 5, 5], [10], [6, 6], [6, 10], [9], [10], [6, 9], [10], [7, 9], [10], [8, 8], [8, 8], [9], [6, 9], [8, 8]]
[[8, 8], [3, 5, 6], [7, 7], [7, 10], [7, 9], [9], [], [6, 10], [6, 9], [10], [9], [8], [10], [9], [7, 10], [5, 10], [8], [9], [6, 10], [5, 10], [8, 8], [9], [8, 8], [6, 6], [8, 8], [9], [8, 8], [10]]
[[8, 8], [8, 8], [3, 6, 6], [8, 8], [10], [5, 5, 5], [7, 9], [7, 9], [10], [6, 9], [9], [10], [10], [10], [10], [10], [9], [6, 10], [7, 9], [8], [8, 8], [], [10], [9], [6, 6], [8, 8], [8], [7, 7], [9]]
[[7, 9], [6, 10], [10], [], [8, 8], [3, 6, 6], [9], [6], [8, 8], [10], [8, 8], [7, 7], [6, 10], [10], [9], [9], [8, 8], [9], [8, 8], [10], [6, 10], [8, 8], [9], [10], [9], [10], [7, 7], [9], [5, 5, 5], []]
[[8, 8], [3, 10], [8, 8], [8, 8], [6, 9], [], [6, 6], [9], [10], [9], [7, 7], [], [8, 8], [9], [10], [10], [9], [9], [6, 10], [10], [7], [10], [6, 6], [8, 8], [8, 8], [5, 5, 5], [7, 7], [10], [9], [9], [10]]
[[3, 10], [5, 8], [5, 9], [8], [6, 8], [7], [9], [6, 8], [10], [9], [5, 8], [10], [6, 8], [6, 8], [10], [10], [9], [8], [10], [6, 8], [10], [10], [6, 8], [9], [9], [8], [9], [10], [9], [7, 7], [7, 7], [8]]
[[7, 7], [6, 7], [6, 8], [6, 8], [10], [8], [6, 8], [10], [10], [10], [10], [8], [9], [10], [5, 5], [9], [10], [10], [9], [8], [8], [6, 8], [9], [9], [8], [8], [9], [8], [10], [6, 8], [5, 9], [7, 7], [3, 9]]
[[3, 9], [6, 6], [5, 8], [6], [7], [8], [5, 8], [10], [9], [9], [10], [6, 8], [10], [10], [7, 7], [9], [7, 7], [10], [9], [10], [10], [8], [6, 8], [9], [10], [5, 8], [10], [6, 8], [8], [8], [8], [9], [8], [9]]
[[3, 7], [6, 7], [10], [9], [9], [10], [9], [9], [8], [10], [10], [10], [10], [6, 7], [5, 8], [5, 8], [9], [6, 6], [5, 8], [9], [10], [9], [6, 7], [6, 7], [9], [8], [8], [8], [8], [8], [10], [10], [8], [8], [8]]
[[3, 8], [5, 8], [8], [5, 8], [5, 8], [10], [10], [10], [10], [6], [9], [6, 7], [10], [8], [9], [10], [10], [10], [7], [8], [8], [6, 7], [10], [8], [9], [9], [9], [8], [6, 7], [7], [8], [8], [9], [9], [9], [6, 6]]
[[3, 8], [8], [8], [8], [5, 8], [5, 8], [8], [10], [6, 7], [6, 7], [10], [9], [10], [8], [10], [10], [9], [9], [], [10], [8], [], [6, 6], [9], [9], [6, 7], [8], [6, 7], [8], [10], [9], [9], [8], [10], [5, 7], [10], [9]]
[[5, 8], [5, 8], [3, 8], [10], [8], [8], [6, 7], [9], [9], [6, 7], [5, 8], [9], [6, 7], [9], [9], [10], [9], [10], [6, 7], [10], [10], [9], [8], [6], [], [6, 7], [8], [8], [10], [9], [8], [10], [8], [10], [], [10], [8], []]
[[5, 7], [8], [8], [8], [8], [10], [8], [8], [9], [8], [10], [], [5, 5], [8], [7], [9], [10], [6, 6], [8], [8], [7], [10], [7], [10], [6, 6], [9], [9], [10], [9], [10], [10], [8], [6, 6], [9], [8], [9], [9], [10], [3, 7]]
[[6, 6], [5, 7], [3, 7], [8], [8], [8], [8], [8], [8], [10], [7], [9], [10], [8], [10], [9], [8], [], [], [8], [9], [9], [8], [9], [10], [7], [9], [10], [9], [10], [10], [6, 6], [7], [9], [8], [8], [5, 5], [6, 6], [10], [10]]
[[8], [6, 6], [8], [9], [9], [8], [9], [9], [5, 7], [9], [10], [10], [10], [10], [8], [9], [9], [10], [6], [5, 7], [8], [8], [10], [5, 6], [10], [10], [7], [10], [7], [8], [8], [8], [7], [], [9], [6, 6], [], [8], [], [8], [3, 8]]
[[5, 7], [7], [8], [6, 6], [9], [6, 6], [8], [10], [8], [10], [10], [9], [6], [9], [8], [10], [10], [8], [7], [10], [10], [9], [8], [9], [10], [5, 5], [6], [8], [8], [9], [9], [7], [8], [8], [10], [8], [9], [8], [], [], [], [3, 7]]
[[5, 7], [9], [8], [8], [8], [8], [10], [7], [7], [], [], [10], [10], [], [10], [9], [7], [9], [5, 5], [9], [8], [6, 6], [8], [10], [8], [], [9], [8], [9], [6, 6], [10], [8], [8], [], [9], [10], [10], [9], [8], [10], [6, 6], [8], [3, 7]]
[[3, 7], [8], [8], [8], [9], [8], [5], [8], [8], [9], [], [7], [8], [9], [9], [10], [5, 5], [6], [6], [], [8], [9], [10], [9], [10], [7], [10], [6], [6], [6], [10], [6], [8], [9], [7], [10], [8], [7], [10], [9], [10], [8], [10], [8]]
-EndAllocation

Instance: [[1], [346], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [230, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [173, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 3, 3, 6, 6, 6, 6, 6, 6, 7], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9], [9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [3, 3, 3, 10, 10, 10, 10, 10, 10, 10, 10], [], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10]]
[[3, 3, 3, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [3, 3, 3, 7, 7, 10, 10, 10, 10]]
[[3, 3, 3, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 9], [9, 9, 9, 9, 9, 9]]
[[3, 3, 3, 8, 10, 10, 10], [9, 10], [8, 8, 8, 8, 8, 9], [7, 7, 7, 7, 7, 7, 9], [6, 6, 6, 6, 6, 6, 9], [9], [8, 8, 8, 8, 8, 8], [9, 10, 10, 10], [9, 10, 10, 10]]
[[3, 3, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 10, 10, 10], [], [9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10], [3, 8, 8, 8, 8, 8]]
[[3, 3, 3, 10, 10, 10], [8, 9, 9, 9], [8], [], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8], [], [7, 10], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [3, 3, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10]]
[[3, 3, 3, 9, 9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [], [7, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [], [9, 9, 9, 9]]
[[3, 3, 3, 8, 8, 8], [10, 10, 10], [10, 10, 10], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [6, 7, 7], [8, 10], [8, 8, 8, 8], [9, 9, 9], [8, 8, 8, 8], [7, 7, 7, 7], [9]]
[[3, 3, 8, 8, 8], [], [9, 9, 9], [10, 10, 10], [6], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 10, 10], [9, 9, 9], [10, 10, 10], [3, 8, 8, 8], [7, 7, 7, 8], [8, 10, 10], [], [7, 7, 7]]
[[3, 8, 8, 8], [10, 10], [8, 8, 8], [7, 7], [6, 6, 6, 6], [], [10, 10], [6, 6], [8, 8, 8], [3, 3, 10, 10], [9, 10, 10], [8, 8, 8], [9, 9, 9], [10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[3, 3, 3, 8, 8], [10, 10], [9], [6, 10, 10], [6, 6, 10], [8, 8], [8, 8], [7, 10, 10], [8, 8], [8, 8], [7, 7, 10], [9, 9, 9], [8, 10, 10], [9, 9, 9], [6, 6, 6, 8], [], [7, 7, 7]]
[[8, 8], [10, 10], [9, 9], [], [6], [9, 9], [10, 10], [10, 10], [8, 8, 9], [3, 6, 8, 8], [3, 6, 8, 8], [3, 6, 8, 8], [7, 7, 7], [10, 10], [8, 8], [6, 10, 10], [7, 7, 7], [6, 9, 9]]
[[8, 8, 8], [], [], [10, 10], [8, 8, 8], [8, 8, 8], [], [10, 10], [8, 8, 8], [3, 3, 3, 6, 9], [10, 10], [6, 7, 7], [6, 6, 6, 6], [7, 9, 9], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7]]
[[3, 3, 8, 8], [10, 10], [10, 10], [], [8, 8, 8], [], [9, 9], [6, 6, 6, 6], [7, 7, 7], [8, 8, 8], [3, 8, 9], [9, 9], [9, 9], [8, 8, 8], [6, 6], [], [7, 7, 7], [10, 10], [10, 10], [10, 10]]
[[3, 3, 3, 8], [10, 10], [9, 9], [], [7, 7, 7], [9], [], [10, 10], [8, 8], [6, 8, 8], [6, 6, 6], [10, 10], [8, 10], [6, 6, 10], [10, 10], [8, 8], [8, 8], [7, 7, 7], [9, 9], [9, 9], [8, 8]]
[[3, 8, 8], [], [], [9, 9], [6, 6, 6], [8, 8], [7, 7, 7], [10, 10], [9, 9], [3, 8, 8], [10, 10], [3, 6, 6, 6], [8, 8], [10, 10], [7, 7, 7], [9], [8, 8], [9, 9], [], [8, 8], [10, 10], [10, 10]]
[[3, 8, 8], [9, 9], [], [], [7, 7, 7], [9, 10], [8, 8], [10, 10], [8, 8], [3, 3, 6, 6], [6, 10], [7, 7, 7], [6, 6, 6], [8, 8], [10, 10], [9, 9], [8, 8], [9, 9], [], [8, 8], [10, 10], [], [10, 10]]
[[3, 8, 8], [7, 7], [7, 7], [], [10, 10], [9, 9], [8, 8], [7, 7], [8, 8], [3, 8, 8], [9], [10, 10], [9, 9], [6, 6, 6], [3], [8, 8], [], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [8, 8], [10, 10]]
[[8, 8], [3, 3, 3, 9], [7, 7], [10], [10], [10], [7, 7], [9, 9], [], [10], [7, 7], [9, 9], [8, 8], [10], [10], [6, 6, 6], [10], [8, 8], [10], [9, 9], [8, 10], [8, 8], [8, 8], [8, 10], [6, 6, 6]]
[[3, 3, 3, 9], [8, 8], [10], [], [8, 10], [7, 7], [10], [7, 7], [8, 8], [10], [10], [], [9, 9], [9, 9], [8, 8], [9, 9], [6, 6, 6], [10], [8, 8], [7, 7], [10], [8, 10], [10], [6, 6, 6], [10], [8, 8]]
[[8, 8], [8, 8], [6, 9], [6, 7], [7, 10], [7, 10], [6, 9], [7, 8], [8, 9], [6, 9], [9], [9], [10], [10], [10], [10], [9], [10], [6, 10], [10], [7, 7], [10], [8, 8], [6], [8, 8], [8, 8], [3, 3, 3]]
[[8, 8], [3, 3, 10], [3, 7, 7], [8, 8], [7, 7], [8, 9], [10], [9], [6, 6], [9], [10], [10], [], [9], [7, 7], [9], [10], [6, 10], [8, 9], [10], [8, 8], [10], [10], [6, 6], [8, 8], [6, 10], [9], [8, 8]]
[[3, 3, 10], [6, 10], [3, 6, 6], [10], [7, 9], [10], [8, 8], [10], [7, 9], [8, 8], [8, 8], [10], [7, 8], [10], [10], [8, 8], [10], [6, 9], [], [8, 8], [9], [9], [10], [], [6, 6], [8], [9], [7, 7], [7, 9]]
[[3, 3, 10], [3, 6, 6], [9], [9], [10], [10], [9], [7, 9], [10], [], [8, 8], [7, 8], [6, 9], [8, 8], [9], [9], [10], [10], [8, 8], [8, 8], [6, 10], [10], [10], [8, 8], [6, 6], [10], [7, 7], [], [8], [7, 7]]
[[3, 3, 10], [3, 6], [6, 8], [9], [6, 6], [7, 9], [7, 9], [8], [10], [10], [10], [7, 9], [10], [8], [7, 9], [8], [9], [8, 8], [6, 10], [8, 8], [7, 7], [10], [6, 8], [10], [10], [9], [8], [10], [], [], [8, 8]]
[[3, 10], [3, 10], [8], [3, 10], [6, 8], [10], [8], [9], [6, 8], [9], [6, 8], [6, 8], [7, 7], [9], [9], [6, 8], [10], [10], [8], [8], [10], [9], [10], [6, 8], [10], [10], [8], [8], [9], [9], [7, 7], [7, 7]]
[[3, 3, 8], [6, 8], [3, 10], [8], [9], [10], [6, 7], [6, 7], [8], [6, 8], [8], [9], [8], [7, 7], [10], [7, 7], [9], [9], [9], [10], [8], [6, 8], [10], [9], [8], [10], [10], [10], [9], [8], [10], [6, 8], [10]]
[[3, 3, 8], [3, 9], [10], [8], [10], [10], [10], [10], [10], [10], [8], [7, 7], [8], [9], [7, 7], [10], [7, 7], [10], [6, 6], [8], [9], [8], [8], [9], [6, 8], [6, 6], [9], [10], [8], [8], [8], [9], [9], [6, 8]]
[[3, 9], [3, 10], [3, 8], [9], [9], [6, 7], [6, 7], [6, 7], [8], [10], [6, 7], [6, 7], [8], [8], [10], [8], [8], [9], [8], [10], [6, 7], [10], [9], [8], [10], [9], [8], [8], [10], [10], [8], [10], [8], [9], [10]]
[[3, 8], [3, 10], [3, 9], [10], [10], [6, 6], [9], [10], [10], [8], [8], [8], [7], [8], [9], [9], [8], [10], [8], [8], [8], [9], [8], [10], [6, 7], [8], [9], [6, 7], [9], [10], [7], [6, 7], [10], [8], [6, 7], [10]]
[[3, 3, 7], [3, 8], [8], [8], [8], [10], [6, 7], [6, 7], [8], [9], [10], [10], [8], [6, 7], [9], [10], [10], [8], [8], [9], [6, 7], [10], [8], [9], [], [10], [9], [9], [6], [10], [10], [8], [6, 7], [8], [9], [10], [8]]
[[3, 10], [3, 10], [9], [], [6, 7], [6, 7], [9], [8], [6, 6], [10], [], [8], [10], [10], [9], [6, 7], [10], [8], [8], [7], [9], [9], [8], [9], [10], [10], [8], [10], [8], [10], [8], [7], [9], [8], [8], [6, 7], [8], [3, 8]]
[[3, 8], [3, 8], [7], [8], [10], [10], [8], [8], [8], [8], [10], [8], [], [7], [7], [9], [10], [6, 6], [8], [7], [10], [10], [8], [10], [6, 6], [9], [9], [10], [9], [10], [10], [8], [6, 6], [9], [8], [9], [9], [7], [3, 7]]
[[3, 8], [3, 8], [8], [8], [8], [8], [7], [10], [7], [10], [10], [9], [10], [], [10], [7], [8], [8], [9], [8], [], [9], [7], [10], [10], [8], [9], [9], [9], [6, 6], [10], [6, 6], [7], [9], [8], [10], [7], [6, 6], [10], [3, 8]]
[[3], [8], [8], [10], [10], [9], [10], [8], [7], [7], [8], [10], [9], [9], [8], [9], [7], [9], [10], [7], [9], [6, 6], [10], [10], [8], [8], [6, 6], [10], [10], [10], [7], [9], [6], [7], [8], [8], [8], [8], [], [8], [3, 3, 6]]
[[8], [3, 8], [3, 3, 6], [8], [], [7], [8], [7], [7], [10], [10], [7], [], [10], [6], [8], [7], [10], [9], [10], [8], [8], [9], [6, 6], [6, 6], [8], [9], [8], [9], [10], [9], [7], [8], [10], [9], [10], [10], [9], [], [8], [10], [8]]
[[3, 8], [3], [7], [10], [3, 8], [10], [10], [8], [7], [9], [10], [10], [10], [10], [10], [9], [10], [10], [9], [9], [8], [6, 6], [9], [9], [8], [8], [8], [6, 6], [8], [6, 6], [8], [8], [], [8], [9], [7], [7], [8], [], [], [], [7], [7]]
[[7], [7], [6], [], [9], [9], [9], [8], [8], [8], [7], [9], [10], [8], [8], [8], [8], [6], [8], [8], [8], [8], [8], [10], [10], [10], [10], [6], [9], [10], [10], [10], [], [6], [10], [9], [7], [7], [6], [6], [9], [7], [10], [3, 3, 3]]
-EndAllocation

Instance: [[1], [345], 44]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,44. UB Alg: [230, 153, 116, 92, 77, 66, 58, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [173, 115, 87, 69, 58, 50, 44, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,44:
-StartAllocation
[[6, 7, 7, 7, 7, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [4, 4, 5, 5, 6, 7, 7, 9, 9, 9, 10, 10, 10, 10, 10]]
[[4, 4, 5, 5, 6, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 9, 10, 10, 10, 10, 10, 10, 10], [4, 4, 8, 8, 8, 10], [9, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 10], [6, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 6, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [8, 8, 8, 9], [9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 7, 7]]
[[4, 8, 8, 8], [5, 5, 6, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6], [4, 10, 10, 10, 10, 10, 10]]
[[4, 4, 5, 7, 9], [6, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 10, 10], [7, 7, 7, 7, 7, 9, 9], [9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10], [5, 5, 6, 9], [8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [4, 4, 9, 9, 9, 9], [6, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[5, 5, 6], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [7, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6], [9, 9, 9, 9, 9], [4, 4, 7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8]]
[[5, 5, 6, 10, 10], [6, 9, 9, 9, 9], [9, 10, 10, 10], [6, 8, 9, 9, 9], [7, 7, 7, 7, 7, 7], [4, 4, 8, 8], [], [9, 10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10]]
[[5, 5, 6], [4, 4, 10, 10, 10], [6, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [6, 6, 8, 8, 8], [], [7, 10, 10, 10], [10, 10, 10]]
[[6, 9, 9, 9], [4, 4, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10], [5, 5, 10, 10], [10, 10, 10], [9, 10, 10], [10], [7, 7, 7, 7, 7], [6, 6, 6, 9], [9, 9, 9, 9]]
[[5, 5, 10, 10], [10, 10, 10], [10, 10, 10], [10], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [6, 6, 6, 6], [7, 7], [6, 9, 9, 9], [4, 4, 8, 8, 8], [7, 7, 7, 7], [9, 9, 9]]
[[5, 5, 10], [4, 4], [9, 9, 9], [7, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [10, 10, 10], [6, 6, 6, 6], [8, 8, 8], [10, 10, 10], [9, 9, 9], [7], [10, 10, 10], [6], [7, 7, 7, 7]]
[[5, 8, 8, 8], [6, 10, 10], [6, 6, 6, 6], [], [9, 9, 9], [7], [4, 5, 10, 10], [10, 10], [6], [10, 10], [7, 10, 10], [6, 6, 6, 6], [9, 9, 9], [4, 10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[5, 5, 6], [10, 10], [9, 9, 9], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [7, 10, 10], [6, 8, 8], [7, 7, 7, 7], [8], [9, 9, 9], [7, 10, 10], [9, 9, 9], [6, 6, 6, 6], [4, 4], []]
[[4, 10, 10], [10, 10], [9, 9], [9], [6, 6, 6, 6], [10, 10], [5, 9, 9], [6, 10, 10], [6, 9, 9], [], [8, 8, 8], [5, 6, 6, 6], [4, 7, 7, 7], [6, 10, 10], [], [10, 10], [7, 7, 7], [9, 9]]
[[5, 5, 6, 6], [6, 9], [10, 10], [10, 10], [6], [10, 10], [10, 10], [8, 8, 8], [], [9, 9], [7, 7, 7], [4, 4, 6, 6], [6, 6, 6, 6], [9, 9], [10, 10], [9, 9], [9, 9], [10, 10], [7, 7, 7]]
[[5, 5, 6], [10, 10], [10, 10], [6, 7], [8, 8, 8], [7, 7, 10], [], [6, 6, 6, 6], [7, 7, 10], [9, 9], [10, 10], [9, 9], [9, 9], [], [], [4, 4, 7, 9], [9, 9], [10, 10], [6, 6, 6, 6], [10, 10]]
[[6, 6, 6], [10, 10], [9, 9], [10], [7, 7, 7], [9, 9], [9, 9], [10, 10], [8, 8], [5, 8, 9], [6, 6, 6], [10, 10], [4, 10], [4, 6, 6, 6], [10, 10], [5, 6], [10, 10], [7, 7, 7], [9, 9], [], []]
[[6, 6, 6], [9], [8, 8], [9, 9], [6, 6, 6], [10], [5, 5, 10], [9, 9], [], [], [10, 10], [6, 6, 6], [4, 4], [10, 10], [7, 7, 7], [9, 9], [7, 7, 7], [9, 9], [10, 10], [6, 8], [10, 10], [10, 10]]
[[7, 7], [9, 9], [], [7, 7], [4, 6, 6], [6, 9], [7, 7], [10, 10], [8, 8], [6, 6, 6], [10, 10], [9, 9], [6, 6, 6], [4], [10, 10], [9, 9], [8], [9, 9], [10, 10], [6, 10], [10, 10], [], [5, 5, 10]]
[[], [7, 7], [7, 7], [9, 9], [10, 10], [4, 4, 9], [7, 7], [10, 10], [8], [8, 8], [9, 9], [10, 10], [9, 9], [6, 6, 6], [5, 5, 6], [], [], [10, 10], [10, 10], [9, 9], [10, 10], [6, 6, 6], [6, 6, 6], []]
[[6, 8], [7, 7], [9, 9], [6, 10], [6, 10], [10], [7, 10], [9, 9], [10], [4, 4, 10], [8, 10], [9, 9], [5, 5, 7], [10], [6, 6, 6], [7, 7], [], [], [6, 10], [9, 9], [6, 10], [6, 9], [10], [8], [6, 10]]
[[5, 6, 6], [], [9, 9], [6], [4, 4, 10], [7, 10], [10], [7, 9], [], [5, 10], [], [7, 10], [9, 9], [9, 9], [8, 10], [9, 9], [6, 6, 6], [7, 10], [10], [7, 7], [10], [6, 10], [10], [6, 6, 6], [10], [8, 8]]
[[10], [], [6, 9], [4, 10], [6, 9], [6, 6], [6, 10], [9], [7, 10], [9], [6, 10], [9], [5, 10], [5, 10], [10], [4, 9], [9], [6, 10], [6, 6], [10], [7, 7], [6, 9], [8, 8], [7, 7], [7, 10], [10], [8, 9]]
[[8, 8], [6, 9], [6, 10], [7, 7], [5, 10], [7, 10], [6, 10], [6, 10], [7, 10], [10], [], [6, 10], [9], [7, 10], [6, 9], [4, 4], [9], [7, 10], [], [6, 9], [9], [6, 10], [], [6, 9], [9], [6, 9], [5, 8], [10]]
[[6, 10], [], [8], [6, 6], [7, 9], [7, 9], [10], [5, 10], [], [4, 9], [7, 7], [5, 9], [6, 10], [10], [10], [10], [9], [6, 6], [7, 9], [7, 9], [10], [10], [10], [10], [4, 6, 6], [8, 8], [9], [6, 9], [6, 10]]
[[6, 9], [6, 7], [4, 6, 6], [9], [9], [10], [10], [8, 8], [9], [10], [], [6, 8], [7, 7], [10], [6, 9], [6, 9], [5], [10], [6, 10], [9], [7, 7], [10], [10], [10], [6, 6], [7, 9], [5, 9], [10], [4, 10], [10]]
[[5, 5, 6], [9], [10], [7, 9], [7, 7], [10], [7, 7], [4, 6, 6], [10], [10], [], [10], [10], [9], [10], [7, 9], [10], [6, 9], [10], [6, 9], [10], [8], [6, 6], [9], [9], [6, 6], [8, 8], [], [4, 10], [9], [6, 10]]
[[4, 10], [9], [4, 10], [6, 6], [6, 6], [10], [10], [10], [9], [10], [10], [10], [8], [9], [6, 6], [7, 7], [6, 8], [8], [6, 6], [7, 7], [6], [10], [9], [10], [7, 7], [10], [10], [5, 9], [9], [5, 9], [9], [9]]
[[6, 6], [10], [4], [10], [10], [10], [4, 9], [6, 6], [], [9], [10], [10], [9], [6, 8], [9], [9], [6, 8], [10], [10], [10], [6, 8], [6, 6], [9], [5, 9], [10], [7, 7], [9], [10], [7, 7], [9], [10], [5, 6], [7, 7]]
[[], [6], [10], [6, 8], [6, 6], [10], [10], [9], [8], [9], [9], [9], [5, 9], [10], [6, 6], [10], [6, 6], [7, 7], [10], [10], [4, 9], [10], [7, 7], [9], [6, 6], [8], [7, 7], [4, 10], [], [10], [9], [10], [10], [5, 9]]
[[9], [6, 7], [10], [6, 7], [10], [9], [9], [10], [10], [5], [10], [9], [10], [6, 7], [10], [10], [], [10], [4, 9], [6, 6], [9], [10], [6, 6], [10], [6, 7], [7], [6], [8], [5, 8], [9], [8], [4, 9], [6, 7], [9], [10]]
[[10], [9], [10], [5, 8], [9], [6, 6], [4, 9], [9], [10], [6, 7], [10], [4], [10], [5, 6], [7], [8], [6, 6], [6, 7], [9], [10], [10], [9], [9], [9], [10], [7], [], [6, 7], [9], [10], [7], [10], [10], [8], [6, 6], [10]]
[[5, 5], [10], [9], [10], [7], [9], [10], [9], [10], [6, 6], [10], [10], [10], [10], [10], [], [9], [6, 6], [10], [9], [7], [4, 8], [10], [10], [7], [], [6, 7], [6, 6], [8], [8], [4, 7], [9], [9], [6, 6], [6, 7], [9], [9]]
[[10], [8], [6, 7], [10], [10], [7], [6, 6], [10], [5], [7], [9], [7], [9], [6], [10], [9], [4], [9], [6, 6], [10], [9], [10], [10], [10], [9], [10], [6], [8], [10], [7], [6, 6], [6, 7], [9], [], [4, 9], [5, 8], [9], [10]]
[[10], [5, 7], [8], [], [10], [10], [6, 6], [10], [9], [8], [10], [6], [10], [9], [7], [9], [10], [7], [6, 6], [8], [6], [9], [5], [7], [6, 6], [10], [6, 6], [10], [9], [10], [10], [7], [9], [4, 4], [9], [9], [9], [10], [7]]
[[7], [5, 7], [6], [10], [5, 7], [], [4, 7], [10], [10], [10], [7], [9], [10], [6], [10], [6], [6, 6], [9], [10], [10], [], [], [9], [10], [8], [8], [9], [9], [9], [9], [10], [6, 6], [9], [9], [7], [10], [6], [6, 6], [10], [4, 8]]
[[8], [5, 5], [8], [6, 6], [6], [7], [9], [9], [7], [6], [10], [10], [9], [9], [6, 6], [10], [], [10], [9], [6, 6], [6, 6], [10], [9], [10], [10], [10], [9], [10], [7], [10], [9], [7], [7], [], [8], [], [9], [10], [7], [10], [4, 4]]
[[8], [10], [], [6, 6], [6], [10], [8], [9], [9], [10], [], [9], [9], [10], [6, 6], [9], [], [10], [7], [7], [10], [9], [10], [6, 6], [], [5, 5], [10], [7], [7], [4, 4], [10], [7], [7], [10], [9], [10], [6, 6], [9], [9], [8], [6], [10]]
[[7], [8], [6], [], [6, 6], [10], [10], [6, 6], [10], [6, 6], [10], [10], [6], [], [10], [9], [7], [9], [10], [9], [], [6, 6], [], [10], [5, 5], [7], [9], [], [9], [9], [10], [8], [10], [8], [7], [10], [4], [10], [4, 7], [9], [9], [9], [7]]
[[6], [9], [6], [8], [10], [9], [10], [10], [9], [9], [5], [5], [9], [9], [10], [4, 6], [6], [7], [7], [6], [7], [10], [9], [6], [10], [6], [10], [8], [6], [10], [4, 6], [10], [9], [7], [7], [10], [], [7], [10], [9], [8], [], [6], [10]]
-EndAllocation

Instance: [[1], [360], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [240, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10], [7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 6, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 6, 6, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [5, 5, 7, 7, 7, 7, 7, 7, 7, 10, 10]]
[[6, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [5, 5], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9], [5, 5, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[5], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 8, 8, 8, 8, 8, 8], [9, 9]]
[[6, 6, 7, 7, 10, 10], [7, 7, 7, 7, 7, 10], [8, 10, 10, 10], [9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8], [], [], [9, 9, 9, 10, 10], [5, 5, 6, 6, 6, 6, 10], [6, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [7], [6, 6, 6, 6, 6, 6, 6], [5, 5, 10, 10], [10, 10, 10, 10], [8, 8, 9, 9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 10, 10], [8, 8, 8, 8, 8], [6, 10, 10, 10], [7, 7, 10, 10], [7, 7, 7, 7, 7], [], [8, 8]]
[[8, 8, 8, 10], [7], [7, 10, 10, 10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7], [6, 6, 6, 6, 6, 6], [5, 5, 7, 8, 8], [6, 7, 8, 8, 8], [7, 10, 10, 10], [7], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [5, 5], [9, 9, 9], [10, 10, 10], [6, 6, 7, 10], [7, 7, 8, 8], [8, 8, 9], [6, 6, 6, 6, 6], []]
[[5, 8, 8, 8], [7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [6, 6], [9, 10], [5, 8], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 7, 7]]
[[8, 8, 8], [9, 9, 9], [9, 9, 9], [5, 5, 10, 10], [10, 10, 10], [], [7, 7, 7], [9], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [7, 7, 10], [10], [6, 6, 7, 7], [10, 10, 10], [8, 8, 8]]
[[8, 10, 10], [8], [8, 9, 9], [8, 10, 10], [10, 10], [5, 5], [6, 6, 6, 6], [8, 10, 10], [9, 9], [8, 9], [8], [8, 9, 9], [6, 6, 6, 8], [7, 7, 7, 7], [7, 7, 7, 8], [8], [8, 10, 10]]
[[8, 8, 8], [8, 8, 8], [9, 9], [5], [10, 10], [9, 9], [7, 9, 9], [9, 10], [5, 10, 10], [8, 8, 8], [10, 10], [7, 7, 10], [7, 10], [7, 7, 7], [6, 6, 6], [8, 8, 8], [10], [6, 6, 6, 6]]
[[8, 8, 8], [7], [8, 8, 8], [], [10, 10], [6, 6, 6], [7, 7, 7], [10, 10], [5, 10, 10], [7, 7, 7], [5, 9, 9], [6, 6, 6, 6], [8, 8, 8], [9], [8, 8, 8], [10, 10], [9, 9], [10, 10], [9, 9]]
[[7, 8, 8], [6, 6, 6], [10, 10], [9], [9], [10, 10], [9], [6, 6, 6, 6], [8, 8, 8], [7, 8, 9], [9], [7, 7, 9], [5, 5, 9], [], [10, 10], [7, 7, 7], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10]]
[[8, 8, 8], [10, 10], [5, 5, 7, 7], [10, 10], [9, 9], [7, 7], [], [10, 10], [8, 8, 8], [9], [8, 8, 8], [7, 7, 7], [6, 6, 6], [9, 9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [9, 9], [], [], [10, 10]]
[[6, 8, 8], [10, 10], [5, 5], [], [8, 8], [8, 8], [7], [9], [8, 8], [8, 8], [10, 10], [9, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [9, 10], [6, 6, 6], [7, 7, 7], [9, 9], [6, 6, 6], [8, 8]]
[[8, 8], [8, 8], [], [10, 10], [7, 7, 7], [8, 8], [10, 10], [10, 10], [8, 8], [8, 8], [5, 5, 6], [7, 7, 7], [10, 10], [7], [6, 6, 6], [6, 6, 6], [], [9, 9], [9, 9], [9, 9], [9], [10, 10], [8, 8]]
[[8, 8], [6, 7, 7], [6, 6, 6], [8, 8], [10, 10], [], [6, 6, 6], [9, 9], [7], [], [7, 7], [8, 8], [8, 8], [10, 10], [7, 7], [8, 8], [5, 5], [9, 9], [10, 10], [9, 9], [10], [9, 10], [10, 10], [8, 8]]
[[8, 8], [9, 9], [10, 10], [5, 5, 6], [9], [7, 7], [6, 6, 6], [10, 10], [], [9, 9], [10, 10], [], [], [6, 6, 6], [8, 8], [9, 9], [7, 7], [8, 8], [7, 7], [8, 8], [7], [10, 10], [8, 8], [10, 10], [8, 8]]
[[8, 8], [5, 6, 6], [8, 10], [8, 10], [6, 10], [8, 8], [6, 10], [7, 10], [9, 9], [7, 7], [6, 6], [7, 7], [9, 9], [], [7, 7], [], [10], [8, 8], [6, 10], [10], [5, 10], [9, 9], [10], [9], [8, 8], [8, 8]]
[[8, 8], [7, 8], [8, 10], [6, 10], [9, 9], [], [10], [8, 8], [8, 8], [6, 6, 6], [10], [7, 7], [], [10], [9], [8, 8], [10], [7, 7], [10], [9, 9], [9, 9], [7, 10], [6, 6, 6], [5, 5], [10], [7, 10], [8, 8]]
[[5, 5, 6], [8, 8], [7, 10], [6, 9], [8, 8], [8, 9], [8, 9], [], [8, 8], [7, 10], [6, 10], [10], [], [9], [7, 10], [10], [7, 10], [9], [9], [7, 10], [9], [6, 6], [7, 10], [8, 8], [], [7, 10], [6, 6], [8, 8]]
[[10], [8, 8], [8, 8], [6, 9], [8, 8], [5, 10], [10], [6, 6], [10], [10], [10], [7, 7], [6, 6], [7, 9], [10], [5, 10], [], [10], [8, 9], [6, 6], [7, 7], [8, 9], [8, 9], [8], [10], [7, 7], [], [8, 9], [8, 9]]
[[6, 10], [6, 10], [8, 8], [7, 8], [6, 6], [6, 10], [7, 9], [10], [7, 9], [10], [7, 9], [], [10], [7, 8], [8, 8], [9], [9], [9], [9], [8, 8], [8], [10], [6, 8], [], [10], [6, 10], [5, 5], [7, 7], [8, 8], [10]]
[[5, 8], [8, 8], [6, 9], [6, 10], [10], [8, 8], [6, 10], [6, 9], [6, 10], [6, 10], [7, 7], [9], [8, 8], [], [9], [], [9], [10], [5, 10], [10], [10], [7, 8], [6, 9], [], [10], [7, 7], [7, 7], [], [8, 8], [9], [8, 8]]
[[6, 10], [8, 8], [8, 8], [6, 6], [10], [10], [8, 8], [8, 8], [9], [7, 9], [5, 5], [], [10], [10], [7, 7], [9], [8, 8], [9], [10], [6, 6], [], [6], [10], [10], [7, 7], [9], [10], [7, 7], [10], [9], [6, 9], [8, 8]]
[[10], [10], [7, 7], [5, 8], [10], [5, 9], [10], [6, 8], [10], [10], [10], [6, 8], [6, 8], [6, 8], [9], [10], [6, 8], [9], [7], [8], [8], [9], [8], [9], [8], [10], [9], [7, 7], [9], [7, 7], [6, 8], [10], [6, 8]]
[[5, 8], [10], [7, 7], [5, 8], [7], [7, 7], [6, 8], [7, 7], [9], [10], [9], [6, 8], [8], [10], [10], [10], [10], [9], [10], [6, 8], [6, 8], [6, 8], [6, 6], [9], [9], [8], [8], [10], [9], [9], [8], [10], [8], [10]]
[[], [5, 9], [6, 8], [6, 8], [10], [10], [10], [10], [10], [9], [6, 8], [5, 9], [10], [6, 7], [6, 7], [7, 7], [9], [6, 7], [9], [10], [6, 8], [9], [9], [8], [8], [8], [10], [10], [8], [10], [8], [8], [8], [8], [7, 7]]
[[6, 7], [6, 7], [10], [10], [9], [5, 8], [10], [10], [9], [10], [10], [8], [10], [8], [9], [5, 8], [6, 7], [10], [10], [8], [8], [8], [8], [9], [6, 7], [6, 7], [6, 7], [6, 7], [9], [10], [8], [8], [8], [9], [9], [8]]
[[6, 7], [6, 7], [5, 8], [5, 8], [7], [10], [8], [6, 7], [10], [8], [7], [6, 6], [10], [10], [9], [9], [9], [10], [10], [8], [10], [6, 7], [10], [6, 7], [8], [9], [9], [8], [8], [8], [8], [9], [9], [8], [10], [10], [8]]
[[5, 7], [10], [10], [10], [9], [6, 6], [8], [10], [6, 6], [10], [9], [8], [6, 7], [8], [5, 7], [6, 7], [9], [8], [9], [9], [9], [8], [10], [10], [10], [8], [8], [8], [10], [8], [7], [8], [7], [9], [6, 7], [8], [8], [10]]
[[6, 6], [9], [5, 8], [5, 8], [9], [6, 7], [9], [10], [10], [7], [10], [10], [8], [7], [], [8], [9], [9], [10], [9], [9], [8], [8], [], [8], [10], [10], [10], [8], [10], [8], [10], [8], [8], [6, 7], [6, 7], [6, 7], [6, 7], [8]]
[[6, 6], [10], [8], [7], [5, 7], [9], [9], [5, 7], [8], [10], [10], [10], [7], [8], [8], [10], [9], [10], [6, 6], [10], [8], [10], [6, 6], [10], [10], [7], [8], [9], [8], [6], [7], [8], [8], [9], [8], [8], [9], [9], [8], [7]]
[[8], [8], [5, 7], [8], [8], [8], [8], [6, 6], [9], [10], [10], [7], [9], [9], [9], [10], [8], [8], [9], [9], [5, 7], [10], [7], [10], [10], [9], [7], [10], [10], [10], [8], [6], [10], [8], [6, 6], [], [7], [8], [7], [8], [6, 6]]
[[8], [8], [7], [6, 6], [9], [8], [6], [7], [10], [5, 7], [5, 7], [9], [10], [8], [10], [8], [9], [9], [10], [9], [10], [7], [10], [10], [10], [9], [8], [8], [6], [7], [10], [8], [8], [6], [8], [10], [8], [6], [6], [8], [7], [9]]
[[7], [7], [7], [7], [8], [8], [8], [9], [9], [8], [10], [6], [9], [], [10], [6, 6], [10], [10], [8], [10], [10], [8], [5, 5], [10], [], [10], [8], [9], [6, 6], [9], [9], [8], [10], [8], [9], [6, 6], [8], [7], [10], [8], [7], [8], [7]]
[[6], [7], [8], [8], [8], [9], [6, 6], [8], [8], [8], [], [10], [10], [8], [8], [10], [], [], [7], [5, 5], [7], [10], [6, 6], [9], [9], [8], [7], [8], [10], [7], [9], [9], [10], [9], [9], [6, 6], [10], [7], [10], [10], [10], [8], [8], [7]]
[[8], [8], [8], [8], [6], [6], [8], [8], [9], [10], [7], [10], [6], [], [7], [7], [9], [10], [9], [7], [9], [10], [6], [8], [5, 5], [6], [10], [9], [6], [6], [8], [10], [8], [10], [10], [8], [10], [10], [7], [7], [9], [7], [8], [9], [8]]
-EndAllocation

Instance: [[1], [359], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [240, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7], [5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [9, 9, 10]]
[[], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 10, 10]]
[[10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9], [5, 5, 5, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[6, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10], [5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [5], [9, 9, 9, 10], [6, 6, 6, 6, 6, 6, 10], [5, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [8], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9]]
[[5, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 10, 10], [8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7], [6, 7, 8, 8, 8], [], []]
[[6, 8, 8, 8], [], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7], [6, 6, 6, 6, 6, 6], [5, 5, 5, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[7, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 10, 10], [5, 9, 9, 9], [5, 5, 10, 10], [9, 9], [], [6, 6, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], []]
[[6, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [5, 5, 5, 6, 10], [8, 8, 8, 8], [], [8, 8, 8, 8], [], [6, 6, 6, 6, 6], [7, 7, 9, 9]]
[[5, 8, 8, 8], [9, 9, 9], [9, 9, 9], [5, 5, 10, 10], [10, 10, 10], [], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [6, 8, 8], [6, 8, 8, 8], [9, 10, 10], [], [7, 7, 9], [], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [9, 9, 9], [6, 6, 6], [10, 10], [], [6, 6, 6, 6], [10, 10], [9, 9], [8, 8, 8], [5, 5, 5, 10], [9, 9, 9], [8, 8], [7, 7, 10], [7, 7, 7, 7], [10, 10], [10, 10]]
[[8, 8, 8], [8, 8], [10, 10], [5, 5, 5], [10, 10], [9, 9], [9, 9], [6, 9, 9], [9, 9], [8, 8, 8], [6, 10, 10], [7, 7, 7], [6, 10, 10], [7, 7, 7], [10, 10], [8, 8, 8], [], [6, 6, 6, 6]]
[[8, 8, 8], [], [5, 5, 7, 7], [6, 6, 6, 6], [10, 10], [10, 10], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [5, 9, 9], [6, 6, 6], [8, 8], [9, 9], [8, 8, 8], [], [7, 9, 9], [10, 10], [9, 9]]
[[7, 10], [6, 6, 6, 6], [10, 10], [9], [9], [10, 10], [8, 8], [6, 6, 9], [8, 8], [6, 8, 9], [7, 7, 9], [9], [5, 5, 5, 9], [], [9, 10], [7, 7, 7], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10]]
[[8, 8], [10, 10], [5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [], [10, 10], [8, 8, 8], [9, 9], [8, 8, 8], [7, 7, 7], [6, 6, 6, 6], [9, 9], [10, 10], [8, 8, 8], [6, 6, 6], [9, 9], [], [], [10, 10]]
[[8, 8], [10, 10], [5, 5, 5], [], [], [8, 8], [9, 9], [6, 9], [10, 10], [8, 8], [9, 10], [10, 10], [8, 10], [10, 10], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6], [7, 7, 7], [8, 8], [6, 6, 6], [8, 8]]
[[6, 8], [8, 8], [], [10, 10], [7, 7, 7], [8, 8], [8, 8], [9, 9], [10, 10], [8, 8], [5, 5, 5], [7, 7, 7], [10, 10], [], [6, 6, 6], [6, 6, 6], [], [9, 9], [9, 9], [10, 10], [9, 9], [10, 10], [8, 8]]
[[8, 8], [7, 7], [6, 6, 6], [8, 8], [10, 10], [6], [7, 7], [9, 9], [], [], [8, 8], [6, 6, 6], [8], [10, 10], [7, 7], [8, 8], [5, 5, 5], [9, 9], [10, 10], [9, 9], [10, 10], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8], [9, 9], [5, 5, 5], [9, 9], [7, 7], [6, 6, 6], [6], [10, 10], [9, 9], [10, 10], [], [], [6, 6, 6], [8, 8], [9, 9], [], [7, 7], [7, 7], [10, 10], [8, 8], [10, 10], [8, 8], [10, 10], [8, 8]]
[[8, 8], [6, 6, 6], [8, 8], [8, 10], [10], [9, 9], [9, 9], [10], [9, 9], [7, 7], [], [7, 7], [10], [10], [7, 7], [10], [10], [6], [5, 5, 5], [10], [9, 9], [6, 6, 6], [8, 10], [8, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 10], [6, 6, 6], [9, 9], [5, 5, 5], [10], [7, 10], [8], [6, 6, 6], [10], [7, 7], [], [], [9, 9], [8, 8], [10], [7, 10], [9, 9], [9, 9], [8, 8], [7, 10], [6], [10], [10], [10], [8, 8]]
[[6, 9], [7, 10], [7, 7], [7, 8], [8, 9], [10], [5, 10], [7, 10], [8, 9], [7, 8], [6, 10], [6, 10], [10], [6, 6], [8], [9], [9], [8], [8], [8], [8, 9], [10], [10], [10], [8], [5, 6, 6], [5, 9], [8, 9]]
[[8, 8], [8, 8], [8, 8], [9], [9], [8, 8], [9], [6, 6], [5, 10], [6, 6], [10], [9], [6, 6], [7, 7], [9], [10], [9], [10], [5, 10], [10], [7, 7], [8, 8], [10], [10], [9], [7, 7], [5, 10], [6, 10], [8, 9]]
[[6, 8], [8, 8], [6, 10], [8, 8], [10], [9], [7, 7], [5, 10], [5, 9], [10], [7, 7], [6, 10], [9], [7, 7], [9], [10], [9], [], [9], [10], [5, 10], [9], [6, 6], [10], [8, 8], [6, 6], [9], [10], [8, 8], [8, 8]]
[[8, 8], [6, 8], [10], [6, 9], [7, 7], [8, 8], [10], [6, 6], [10], [8, 8], [9], [10], [8, 8], [10], [6, 10], [9], [10], [5, 5, 5], [10], [], [9], [7, 7], [6, 6], [10], [9], [9], [7, 7], [9], [9], [10], [8, 8]]
[[6, 8], [10], [8, 8], [6, 6], [9], [5, 10], [8, 8], [9], [9], [5, 9], [10], [], [9], [10], [7, 7], [9], [6, 6], [10], [8, 8], [7, 7], [10], [6, 6], [10], [], [7, 7], [9], [10], [10], [8, 8], [9], [5, 10], [8, 8]]
[[5, 9], [10], [10], [6, 8], [5, 9], [9], [6, 8], [7, 7], [10], [6, 6], [8], [10], [9], [10], [10], [9], [6, 8], [8], [8], [9], [10], [6, 8], [9], [10], [7, 7], [7, 7], [5, 9], [6, 8], [8], [8], [10], [8], [10]]
[[6, 8], [6, 8], [7], [6, 8], [6, 8], [10], [9], [5, 8], [10], [9], [9], [10], [5, 9], [10], [8], [7, 7], [9], [9], [10], [10], [8], [8], [10], [10], [9], [8], [10], [7], [9], [7, 7], [5, 8], [6, 6], [10], [6, 8]]
[[10], [6, 8], [6, 8], [6, 8], [8], [9], [10], [10], [10], [8], [7, 7], [8], [9], [10], [6, 6], [5, 9], [6, 6], [9], [10], [8], [8], [8], [10], [10], [10], [5, 5], [9], [10], [9], [7, 7], [7, 7], [9], [8], [9], [8]]
[[9], [8], [10], [9], [6, 7], [10], [6], [9], [9], [10], [9], [8], [8], [9], [8], [6, 7], [10], [9], [10], [9], [10], [5, 8], [6, 7], [10], [10], [6, 7], [5, 8], [10], [5, 8], [8], [8], [10], [8], [6, 7], [6, 7], [8]]
[[6, 7], [8], [9], [6, 7], [9], [10], [6, 7], [9], [8], [8], [8], [9], [5, 5], [8], [10], [9], [8], [6, 7], [9], [8], [10], [10], [10], [5, 7], [10], [10], [8], [9], [10], [10], [8], [10], [6, 7], [9], [6, 6], [8], [8]]
[[6, 7], [9], [5, 8], [9], [9], [6, 7], [8], [10], [6, 6], [9], [6, 7], [10], [9], [10], [7], [8], [10], [10], [10], [10], [8], [9], [10], [7], [9], [7], [8], [9], [5, 5], [8], [10], [8], [8], [6, 6], [8], [8], [10], [8]]
[[6, 7], [8], [9], [7], [7], [8], [9], [5, 5], [8], [8], [5, 7], [9], [10], [8], [10], [10], [6, 6], [9], [10], [9], [6, 6], [9], [9], [6, 6], [7], [8], [10], [10], [7], [10], [10], [8], [8], [8], [8], [8], [9], [10], [10]]
[[8], [8], [8], [7], [8], [8], [8], [9], [9], [10], [10], [10], [10], [10], [6], [10], [9], [6, 6], [9], [5, 5], [9], [8], [6, 6], [8], [7], [10], [9], [10], [8], [10], [7], [10], [9], [5, 7], [8], [7], [6, 6], [7], [9], [8]]
[[7], [8], [5, 7], [8], [8], [8], [9], [6], [6, 6], [9], [7], [10], [10], [10], [10], [5, 5], [9], [9], [8], [9], [10], [7], [10], [10], [6, 6], [9], [], [8], [7], [8], [6, 6], [10], [8], [8], [9], [9], [10], [10], [8], [8], [7]]
[[7], [7], [6], [8], [8], [10], [7], [6, 6], [10], [9], [8], [9], [9], [6, 6], [7], [8], [10], [9], [8], [8], [9], [5, 5], [7], [10], [9], [5], [8], [8], [], [8], [6, 6], [8], [9], [10], [7], [10], [10], [10], [9], [10], [10], [8]]
[[10], [8], [6, 6], [8], [8], [7], [8], [9], [7], [9], [], [10], [9], [7], [10], [6], [10], [10], [9], [10], [8], [5, 7], [5, 5], [10], [], [10], [], [9], [8], [6, 6], [9], [7], [10], [7], [9], [6, 6], [8], [10], [9], [8], [8], [8], [8]]
[[6, 6], [8], [], [8], [8], [9], [6], [10], [5], [8], [9], [], [10], [8], [7], [10], [], [8], [7], [5, 5], [7], [10], [6, 6], [9], [7], [8], [7], [8], [10], [7], [9], [9], [8], [9], [9], [6, 6], [10], [8], [10], [10], [10], [9], [10], [8]]
[[8], [6], [8], [8], [8], [8], [9], [10], [9], [10], [7], [6], [6], [6], [7], [5, 5], [9], [8], [10], [7], [9], [7], [6], [8], [8], [10], [10], [9], [10], [7], [8], [9], [8], [10], [6], [8], [10], [10], [9], [7], [10], [6], [5], [9], []]
-EndAllocation

Instance: [[1], [358], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [238, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [179, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9]]
[[6], [5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 8, 10]]
[[6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9, 9], [10, 10, 10], [5, 5, 9, 9, 9, 9, 9]]
[[5, 5, 6, 9], [6, 6, 6, 6, 6, 6, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 10, 10, 10, 10]]
[[7, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [], [5, 5, 7, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10], [6, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 9, 9, 9, 9], [5, 5, 10], [7, 7, 7, 7, 7, 7], [], [7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7], [7, 7, 7, 8, 8], [], []]
[[6, 8, 8, 8], [], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7], [6, 6, 6, 6, 6, 6], [5, 5], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [10, 10, 10], [9, 9], [], [6, 7, 7, 7, 7], [6, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5]]
[[6, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [6], [10, 10, 10], [9, 9, 9], [5, 5, 9, 9], [8, 8, 8, 8], [], [8, 8, 8, 8], [], [6, 6, 6, 6, 6], [7, 7, 7, 7]]
[[6, 8, 8, 8], [9, 9, 9], [9, 9, 9], [5, 5, 10, 10], [10, 10, 10], [6], [7, 7, 7, 7], [9, 9, 10], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8], [10, 10, 10], [], [7, 7, 7, 7], [], [8, 8, 8]]
[[6, 10, 10], [8, 8, 8], [9, 9, 9], [], [6, 10, 10], [5, 5], [6, 6, 6, 6], [10, 10], [9, 9, 10], [6, 8, 8], [], [9, 9, 9], [8, 8, 8], [7, 7, 7, 7], [7, 7, 7, 7], [8, 8, 8], [10, 10]]
[[8, 8, 8], [8, 8], [10, 10], [5, 5], [10, 10], [9, 9], [7, 9, 9], [9, 9], [7, 9, 9], [8, 8, 8], [6, 10, 10], [7, 7, 7], [6, 6, 10], [7, 7, 7], [10, 10], [8, 8, 8], [], [6, 6, 6, 6]]
[[8, 8, 8], [], [10, 10], [9, 9], [9, 10], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [6, 9, 9], [6, 6, 6, 6], [6, 8, 8], [7, 7, 9], [8, 8, 8], [6], [7, 7, 7], [10, 10], [5, 5]]
[[6, 8, 8], [6, 6, 6, 6], [7, 10], [9, 9], [9, 9], [10, 10], [9, 9], [6, 6, 7], [8, 8, 8], [7, 7, 7], [9, 9], [], [5, 5], [], [10, 10], [7, 7, 7], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10]]
[[6, 8, 8], [10, 10], [5, 5, 7, 7], [10, 10], [9, 9], [7, 7, 7], [], [], [8, 8, 8], [9, 9], [8, 8, 8], [7, 7, 7], [6, 6], [9, 9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10], [], [10, 10]]
[[6, 8, 8], [10, 10], [5, 5, 10], [], [9, 9], [8, 8], [6, 6, 6], [9, 9], [8], [8, 8], [10, 10], [7, 7], [10, 10], [10, 10], [9, 9], [7, 7, 7], [9, 9], [], [7, 7, 7], [8, 8], [6, 6, 6], [8, 8]]
[[8], [8, 8], [], [10, 10], [7, 7, 7], [5, 8, 8], [], [6, 6], [8, 8], [8, 8], [5, 6, 6], [7, 7, 7], [10, 10], [10], [6, 6, 6], [10, 10], [7, 7], [9, 9], [9, 9], [9, 9], [9, 9], [10, 10], [8, 8]]
[[6, 8], [7, 7], [6, 6, 6], [5, 5, 6], [10, 10], [6], [6, 7, 7], [9, 9], [], [], [8, 8], [8, 8], [8, 8], [10, 10], [7, 7], [8, 8], [10], [9, 9], [10, 10], [9, 9], [10, 10], [9, 9], [7, 7], [8, 8]]
[[6, 8], [9, 9], [10, 10], [5, 5], [9, 9], [7, 7], [6, 6, 6], [6, 6], [10], [9, 9], [10, 10], [], [], [8, 8], [8, 8], [9, 9], [], [7, 7], [6, 7, 7], [8, 8], [7, 7], [10, 10], [8, 8], [10, 10], [8, 8]]
[[6, 8], [6, 10], [8, 8], [5, 10], [5, 10], [8, 8], [10], [7, 10], [9, 9], [7, 7], [9, 9], [7, 7], [], [], [7, 7], [], [10], [8, 8], [6, 6, 6], [6, 10], [9, 9], [6, 10], [7, 10], [9, 9], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 10], [6, 10], [9, 9], [9, 9], [10], [7, 7], [8, 8], [6, 6, 6], [10], [7, 7], [10], [], [9, 9], [8], [10], [7, 7], [], [9, 9], [8, 8], [7, 10], [6, 6, 6], [5, 5], [10], [10], [8, 8]]
[[6, 9], [6, 10], [8, 9], [8, 9], [8, 9], [10], [5, 5], [7, 10], [8, 8], [9], [10], [6, 6], [7, 10], [9], [7, 7], [], [7, 7], [9], [7, 9], [], [10], [6, 6], [7, 10], [8, 8], [10], [6, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [6, 9], [7, 7], [6, 10], [6, 6], [10], [], [10], [10], [6, 6], [7, 7], [9], [10], [9], [7, 10], [5, 5], [9], [7, 7], [8, 8], [9], [9], [8, 9], [7, 9], [10], [10], [8, 8]]
[[6, 8], [8, 8], [10], [8, 8], [9], [6, 10], [6, 6], [9], [9], [5, 5], [7, 7], [10], [8, 8], [7, 7], [9], [10], [9], [], [9], [10], [7, 7], [10], [6, 6], [10], [10], [6, 10], [7, 9], [7, 9], [8, 8], [8, 8]]
[[6, 10], [6, 8], [10], [9], [7, 7], [8, 8], [10], [6, 6], [7, 7], [9], [9], [5, 5], [8, 8], [10], [10], [8, 8], [10], [8, 8], [10], [], [9], [7, 7], [6, 6], [10], [9], [9], [7, 7], [10], [9], [6, 9], [8, 8]]
[[8, 8], [8, 8], [8], [6, 6], [9], [10], [8, 8], [10], [9], [5, 9], [], [10], [10], [9], [7, 7], [9], [], [9], [8, 8], [7, 7], [10], [6, 6], [10], [10], [7, 7], [5, 9], [10], [7, 7], [6, 6], [6, 10], [9], [8, 8]]
[[10], [6, 8], [10], [9], [6, 8], [9], [6, 8], [6, 8], [7], [8], [6, 8], [9], [10], [7, 7], [10], [5, 8], [8], [9], [8], [10], [10], [7, 7], [9], [10], [6, 7], [7, 7], [8], [9], [10], [9], [10], [6, 8], [5, 9]]
[[6, 8], [6, 8], [5, 8], [6, 8], [8], [10], [7, 7], [9], [6, 8], [9], [10], [8], [10], [10], [10], [10], [10], [9], [10], [9], [5, 8], [9], [9], [7, 7], [7, 7], [8], [8], [7, 7], [9], [9], [], [6, 6], [10], [6, 8]]
[[10], [6, 8], [8], [8], [9], [8], [8], [10], [7, 7], [10], [7, 7], [8], [9], [10], [6, 6], [9], [6, 6], [9], [8], [8], [8], [8], [9], [10], [10], [5, 8], [9], [6, 6], [9], [7, 7], [10], [5, 9], [10], [10], [7, 7]]
[[5, 8], [5, 8], [9], [8], [9], [6, 7], [8], [8], [8], [8], [10], [9], [10], [9], [8], [8], [8], [10], [10], [9], [6, 7], [6, 7], [6, 7], [10], [6, 7], [6, 7], [10], [8], [7], [9], [10], [9], [10], [9], [10], [6, 7]]
[[5, 8], [5, 8], [9], [6, 7], [8], [9], [6, 7], [9], [10], [9], [8], [8], [10], [9], [10], [7], [10], [10], [10], [7], [10], [8], [7], [6, 7], [10], [6, 7], [8], [9], [10], [9], [6, 7], [8], [9], [8], [6, 6], [8], [8]]
[[8], [6, 7], [6, 7], [8], [8], [8], [6, 7], [7], [6, 6], [7], [9], [8], [9], [8], [10], [7], [9], [9], [5, 8], [10], [8], [9], [10], [8], [7], [9], [10], [9], [10], [10], [8], [5, 7], [8], [6, 6], [9], [10], [10], [10]]
[[8], [8], [9], [9], [6, 7], [8], [6, 7], [10], [10], [10], [7], [7], [8], [8], [10], [10], [6, 6], [8], [10], [9], [5, 5], [9], [7], [6, 6], [7], [9], [10], [10], [8], [8], [9], [8], [9], [8], [8], [7], [9], [6, 7], [10]]
[[7], [7], [8], [8], [7], [8], [9], [8], [9], [10], [10], [10], [10], [6, 6], [6, 6], [10], [9], [6], [9], [7], [9], [10], [6, 6], [8], [8], [10], [9], [10], [8], [8], [5, 7], [10], [9], [8], [9], [7], [8], [8], [7], [5, 7]]
[[8], [8], [8], [8], [7], [9], [9], [8], [9], [9], [10], [6, 6], [10], [8], [10], [7], [9], [7], [8], [9], [10], [8], [5, 5], [10], [6, 6], [9], [7], [8], [7], [8], [6, 6], [10], [7], [6], [8], [9], [7], [10], [10], [7], [10]]
[[8], [8], [8], [7], [7], [10], [8], [6, 6], [7], [9], [6, 6], [9], [8], [7], [8], [8], [10], [9], [9], [8], [7], [5, 5], [6], [10], [9], [9], [8], [8], [], [7], [6, 6], [10], [9], [10], [8], [7], [10], [10], [9], [10], [10], [7]]
[[6, 6], [8], [8], [8], [8], [7], [8], [7], [9], [9], [8], [7], [9], [6], [10], [6, 6], [10], [10], [9], [10], [10], [9], [5, 5], [10], [7], [10], [8], [9], [6, 6], [9], [9], [], [10], [], [7], [7], [8], [8], [10], [7], [7], [8], [8]]
[[7], [8], [8], [8], [8], [8], [6, 6], [8], [8], [8], [9], [6], [10], [8], [7], [10], [], [], [7], [5, 5], [8], [10], [6, 6], [9], [9], [10], [7], [8], [], [9], [7], [9], [7], [9], [9], [6, 6], [10], [7], [10], [10], [10], [9], [7], [10]]
[[8], [6], [8], [10], [6], [8], [9], [7], [9], [10], [7], [6], [6], [9], [7], [5, 5], [9], [], [6], [7], [9], [8], [6], [8], [8], [7], [10], [9], [10], [7], [8], [7], [8], [10], [8], [7], [10], [10], [9], [9], [10], [10], [8], [6], [8]]
-EndAllocation

Instance: [[1], [357], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [238, 158, 120, 96, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [179, 119, 90, 72, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 8, 8, 9, 9], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9], [9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 8, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 9], [6, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [9, 10, 10, 10, 10, 10, 10, 10], [8, 8, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10], [7, 8, 10, 10, 10, 10, 10, 10]]
[[], [6, 7, 7, 7, 7, 9, 9], [8, 10, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [6, 10, 10, 10, 10, 10, 10]]
[[], [7, 9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 9, 9, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 8, 8], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [8, 10]]
[[], [8, 10, 10, 10, 10], [8, 8, 10, 10, 10], [9, 10, 10, 10, 10], [9, 9], [6, 6, 6, 10, 10, 10], [7, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 7, 10, 10], [5, 5, 5, 5, 5, 9, 9], [8, 10, 10, 10, 10], [8, 8, 10, 10, 10], [9, 10, 10, 10], [10, 10, 10, 10], [], [7, 7, 7, 7, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [10, 10, 10, 10], [7, 8, 8, 10, 10], [], [10, 10, 10, 10], [5, 5, 5, 5, 5, 10], [6, 6, 6, 6, 9, 9], [8, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 9], [6, 6, 6, 6, 6, 6, 6]]
[[], [10, 10], [], [8, 8, 10, 10], [6, 6, 6, 6, 6, 7], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 9, 9, 10], [9, 10, 10, 10], [5, 5, 5, 5, 5, 10], [7, 7, 7, 7, 10]]
[[], [10, 10], [8, 8, 8, 10], [10, 10, 10], [5, 5, 5, 5, 5, 10], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 10], [10, 10, 10], [9, 10], [6, 6, 6, 6, 6, 7]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 9], [9, 10, 10], [6, 6, 6, 6, 6], [8], [10, 10, 10], [7, 7, 7, 7], [6, 7, 10], [10, 10, 10], [8, 8, 9], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [7, 10, 10], [10, 10, 10], [10], [10, 10, 10], [5, 10, 10], [10, 10, 10], [5, 5, 5, 5, 9], [10, 10, 10], [6, 6, 6, 6, 7], [8, 8, 10], [6, 6], [9, 9], [7, 7, 7, 8]]
[[], [6], [7, 7, 7, 8], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [7, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 9, 9], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [5, 5, 5, 5, 5], [9]]
[[], [8], [10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [7, 10, 10], [8, 10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [8, 10, 10], [5, 5, 5, 5, 5], [10, 10], [10], [6, 6, 6, 9], [10, 10], [9, 9, 10]]
[[], [7, 8, 8], [6, 9, 9], [10, 10], [7, 7, 7], [7, 8, 10], [6, 10, 10], [6, 6, 6, 6], [], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [9, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [6, 10, 10]]
[[10], [10, 10], [6, 6, 6, 6], [10], [9, 9], [10, 10], [7, 10], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10], [5, 5, 5, 5, 5], [10, 10], [7, 10], [6, 6, 6], [9, 10], [7, 7, 7], [8, 8], [8, 10]]
[[], [8, 8, 8], [10, 10], [], [5, 5, 5, 6], [10, 10], [6, 6, 6, 6], [10, 10], [7], [9, 9], [9, 10], [5, 6, 6, 7], [10, 10], [6, 6, 6, 6], [7, 7, 7], [10, 10], [10, 10], [10, 10], [5, 10], [10, 10]]
[[], [6, 6, 6], [5, 6, 8], [10, 10], [10, 10], [], [10, 10], [6, 6, 6], [5, 5, 5, 5], [10, 10], [7, 10], [7, 7, 7], [10], [10, 10], [10, 10], [9, 9], [10, 10], [8, 8], [10, 10], [6, 6, 6], [6, 7, 9]]
[[], [], [5, 6, 10], [7, 7, 7], [6, 6, 7], [6, 8, 8], [6, 6, 6], [10, 10], [6, 10], [5, 5, 5, 5], [8, 10], [], [7, 10], [9, 10], [9, 9], [10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6], [10, 10]]
[[], [6, 6, 6], [5, 8], [10, 10], [8, 8], [], [6, 6, 6], [10, 10], [], [9, 10], [10], [6, 7, 7], [6, 7], [7, 7], [5, 5, 5, 5], [6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10]]
[[], [6, 6, 6], [6, 6, 6], [10, 10], [10, 10], [10], [9, 9], [], [9, 10], [10, 10], [10, 10], [10, 10], [6], [6, 7, 7], [10, 10], [10, 10], [], [5, 5, 5, 5], [5, 7], [6, 6, 6], [8, 8], [8], [10, 10], [7, 7]]
[[], [], [10, 10], [7, 7], [10, 10], [6, 6], [5, 5, 5, 5], [10, 10], [10, 10], [5], [10, 10], [8, 8], [], [], [6, 6, 6], [7, 7], [10, 10], [6, 6, 6], [10], [9, 9], [10, 10], [9, 10], [7, 8], [10, 10], [6, 6, 6]]
[[10], [7, 10], [6, 6, 6], [8, 10], [10], [5, 9], [7, 7], [10], [5, 10], [10], [6, 6], [8, 10], [5, 10], [10], [5, 10], [10], [7, 7], [6, 6, 6], [10], [5, 10], [8, 10], [10], [10], [6, 6, 6], [9, 9], [10]]
[[10], [10], [9], [7, 10], [5, 10], [5, 10], [10], [10], [10], [10], [7, 7], [9, 9], [6, 6, 6], [10], [10], [7, 7], [8, 10], [6, 6, 6], [5, 5, 8], [5, 10], [6, 6, 6], [10], [10], [6, 6], [10], [8, 10], [10]]
[[10], [10], [5, 5, 5], [10], [6, 10], [6, 6], [6, 6], [10], [8, 9], [7, 10], [6, 6], [7, 7], [10], [10], [5, 6, 6], [7, 10], [7, 10], [10], [6, 9], [5, 10], [10], [9], [6, 10], [8, 8], [10], [10], [10], [10]]
[[10], [5, 5, 5], [6, 10], [6, 10], [9], [6, 10], [10], [6, 6], [6, 6], [7, 7], [10], [10], [10], [8, 9], [5, 5, 6], [7, 7], [10], [6, 6], [7, 9], [10], [10], [10], [10], [10], [10], [6, 10], [10], [8, 8], [10]]
[[10], [8, 8], [7, 9], [6, 6], [5, 5, 5], [8], [10], [7, 7], [10], [7], [10], [5, 5], [10], [10], [9], [6, 10], [6, 10], [6, 10], [10], [10], [6, 9], [10], [10], [10], [10], [6, 6], [10], [6, 7], [6, 10], [6, 10]]
[[10], [10], [10], [7, 9], [5, 5, 5], [6, 6], [6, 8], [10], [6, 6], [6, 6], [10], [10], [5, 5], [10], [6, 6], [7, 9], [8, 8], [10], [7, 7], [10], [10], [10], [10], [7, 9], [10], [10], [10], [6, 6], [10], [10], [10]]
[[9], [8, 8], [10], [10], [10], [7, 7], [7, 9], [10], [6, 6], [5, 5], [9], [10], [10], [6, 6], [10], [10], [7, 7], [10], [10], [6, 6], [10], [10], [6, 6], [8], [6, 6], [10], [10], [10], [5, 5, 5], [10], [6, 10], [10]]
[[10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [10], [5, 5], [10], [10], [10], [6], [10], [6, 8], [7, 7], [10], [6, 6], [6, 6], [10], [6, 6], [10], [6, 8], [7, 7], [5, 5], [5, 9], [9], [6, 7], [6, 8], [10]]
[[10], [10], [10], [10], [5, 5], [10], [10], [9], [9], [7, 7], [10], [10], [10], [10], [7, 7], [6, 6], [10], [8], [10], [10], [10], [10], [6, 6], [6, 7], [6, 8], [8], [6, 6], [10], [6, 6], [5, 5], [9], [5, 6], [10], [10]]
[[10], [7, 7], [6], [8], [6, 6], [10], [7], [10], [10], [10], [6, 6], [10], [6, 6], [10], [6, 6], [10], [10], [5, 5], [10], [10], [5, 5], [6, 8], [7, 7], [10], [9], [5, 6], [10], [10], [10], [8], [10], [10], [9], [10], [9]]
[[10], [10], [6, 7], [5, 5], [10], [10], [8], [9], [5, 6], [10], [6, 6], [9], [10], [7], [10], [10], [8], [10], [6, 7], [6, 6], [10], [9], [10], [10], [10], [10], [10], [10], [5, 5], [6, 6], [8], [10], [10], [7], [7], [6, 6]]
[[8], [10], [10], [9], [10], [8], [10], [10], [7], [7], [7], [6], [7], [6, 6], [9], [10], [10], [9], [10], [10], [10], [6, 6], [10], [10], [10], [5, 5], [10], [8], [10], [10], [5, 5], [10], [5, 7], [6, 6], [6, 6], [10], [6, 6]]
[[10], [10], [10], [7], [10], [5], [10], [10], [6, 6], [10], [8], [5, 5], [10], [6, 6], [10], [7], [10], [7], [10], [6, 6], [10], [10], [9], [6, 6], [8], [8], [10], [6, 6], [10], [5, 5], [10], [6, 7], [10], [9], [9], [7], [], [10]]
[[10], [10], [5, 8], [5, 8], [6, 6], [7], [8], [10], [10], [10], [6, 6], [10], [10], [7], [10], [9], [7], [7], [10], [9], [9], [6, 6], [10], [10], [7], [10], [5, 5], [10], [6, 6], [10], [6], [10], [], [6, 6], [10], [10], [10], [], [5]]
[[10], [9], [10], [10], [10], [7], [10], [10], [], [10], [7], [10], [10], [6, 6], [5, 5], [10], [10], [8], [6, 6], [10], [6, 6], [10], [9], [8], [9], [10], [6], [10], [6, 6], [10], [7], [7], [6, 6], [5], [5, 5], [10], [], [10], [7], [8]]
[[10], [6, 6], [8], [10], [], [6, 6], [], [10], [10], [10], [6], [], [5, 5], [7], [10], [10], [6, 6], [10], [10], [6, 6], [5], [9], [8], [7], [6, 6], [8], [10], [7], [10], [7], [9], [10], [10], [10], [7], [10], [10], [10], [5, 5], [10], [9]]
[[], [8], [10], [10], [], [10], [10], [10], [5, 5], [9], [10], [8], [7], [10], [10], [7], [10], [7], [6, 6], [10], [9], [8], [6, 6], [10], [7], [10], [6, 6], [9], [6, 6], [5], [10], [], [10], [6], [10], [7], [10], [10], [], [5, 5], [10], [6, 6]]
[[7], [10], [10], [5], [10], [10], [10], [10], [9], [10], [5, 5], [], [7], [10], [6, 6], [8], [9], [], [], [6], [], [], [7], [10], [6, 6], [10], [6, 6], [9], [10], [10], [10], [10], [10], [6, 6], [8], [7], [10], [8], [7], [5, 5], [10], [10], [6, 6]]
[[10], [10], [], [10], [6, 6], [10], [6], [7], [10], [6, 6], [10], [10], [7], [10], [], [], [8], [], [10], [], [8], [10], [6, 6], [10], [9], [8], [6, 6], [7], [5, 5], [10], [10], [10], [10], [10], [6, 6], [10], [5], [9], [7], [10], [], [7], [9], [5, 5]]
[[10], [10], [10], [8], [6], [10], [7], [7], [6], [7], [9], [5, 5], [6], [6], [10], [6], [6], [8], [10], [9], [10], [9], [7], [10], [6], [7], [10], [10], [], [6], [], [10], [10], [10], [6], [10], [8], [10], [10], [5], [5, 5], [6], [10], [10], [6]]
-EndAllocation

Instance: [[1], [356], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [237, 158, 118, 96, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [178, 119, 89, 72, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10]]
[[6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 7, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [10]]
[[5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10]]
[[6, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9], [], [7, 7, 7, 7, 7, 7, 8, 8]]
[[6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9], [10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[6, 6], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8], [9, 9, 9]]
[[6, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 5, 5, 5, 8, 8, 8], [], [], [8, 9, 9, 9, 10], [6, 6, 6, 6, 6, 6, 10], [8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5], [], [6, 6, 6, 6, 6, 6], [10, 10], [10, 10, 10, 10], [9, 9, 9, 9], [8, 9, 9, 9, 9]]
[[6, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5], [8, 10, 10], [10, 10, 10, 10], [7], [7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8]]
[[6, 8, 8, 8], [], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7], [6, 6, 6, 6, 6, 6], [8, 10], [5, 5, 5, 5, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[6, 8, 8, 8], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 10, 10], [6, 9, 9, 9], [5, 5, 10, 10], [9, 9], [], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5]]
[[6, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [9, 9], [5, 5, 5, 5], [6, 10, 10], [10, 10], [8, 8, 8, 8], [9, 9, 9], [8, 8, 8], [], [6, 6, 6, 6, 6], [7, 7]]
[[6, 8, 8], [6, 9, 9], [9, 9, 9], [5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [10, 10, 10], [], [7, 7, 10], [], [8, 8]]
[[6, 7, 7, 7], [8, 8, 8], [10], [6, 6, 9], [10, 10], [5, 5, 5, 5], [6, 6, 6, 6], [8, 9, 10], [7, 9, 9], [8, 8, 8], [9], [9, 9, 9], [8, 8, 8], [10, 10], [7, 7, 10], [10], [10, 10]]
[[6, 7, 7], [8, 8, 8], [6], [5, 5, 5, 5], [10, 10], [9, 9], [9, 9], [8, 9, 9], [7, 9, 9], [8, 8, 8], [10, 10], [10, 10], [6, 10, 10], [7, 7, 7], [10, 10], [8, 8, 8], [], [6, 6, 6, 6]]
[[5, 5, 6], [], [5, 5, 7, 7], [8], [10, 10], [6, 6, 10], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [9, 9], [6, 6, 6, 6], [8, 8, 8], [9, 9], [8, 8, 8], [10], [7, 9, 9], [10, 10], [9, 9]]
[[6, 8, 8], [9, 9], [10, 10], [9, 9], [9, 9], [10, 10], [], [6, 6], [8, 8, 8], [7, 7, 7], [9, 9], [], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [7, 7, 7], [8, 8], [10, 10], [8, 8, 8], [10, 10]]
[[6, 8], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [10, 10], [8, 8], [8, 8], [9, 9], [8], [7, 7, 7], [6, 6, 6], [9, 9], [10, 10], [8, 8], [8, 8], [9, 9], [6, 6, 6], [], [10, 10]]
[[6, 8], [10, 10], [5, 5, 5, 5], [], [], [8, 8], [9, 9], [9, 9], [10, 10], [8, 8], [10, 10], [10, 10], [8], [10, 10], [9, 9], [7, 7, 7], [9, 9], [6, 6, 6], [7, 7, 7], [8, 8], [6, 6, 6], [8, 8]]
[[6, 8], [8, 8], [], [10, 10], [7, 7, 7], [8], [], [10, 10], [8, 8], [8, 8], [5, 5, 5, 5], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6], [6, 6, 6], [], [9, 9], [9, 9], [9, 9], [9, 9], [10, 10], [8, 8]]
[[6, 8], [8, 8], [7, 7], [5, 5, 5, 5], [10, 10], [10, 10], [6, 6, 6], [9, 9], [], [10, 10], [7, 7], [8, 8], [8, 8], [10, 10], [6, 6, 6], [7, 7], [], [8, 8], [], [9, 9], [9, 9], [9, 9], [10, 10], [8]]
[[6, 8], [8, 8], [10, 10], [9, 9], [9, 9], [7, 7], [6, 6, 6], [], [5, 5, 5, 5], [8], [], [], [], [6, 6, 6], [8, 8], [9, 9], [9, 9], [7, 7], [10, 10], [8, 8], [7, 7], [10, 10], [10, 10], [10, 10], [8, 8]]
[[6, 10], [6, 6, 6], [8, 8], [10], [10], [9, 9], [7, 7], [8, 10], [6, 6, 6], [8, 8], [10], [9, 9], [], [5], [7, 7], [10], [10], [8, 8], [5, 5, 5], [10], [7, 7], [10], [8, 10], [9, 9], [8, 8], [9, 9]]
[[6, 8], [8, 8], [6, 6, 6], [10], [8, 8], [], [10], [9, 9], [5, 10], [6, 6, 6], [7, 7], [7, 7], [], [10], [9, 9], [8, 8], [10], [5, 5, 5], [10], [10], [9, 9], [8, 8], [7, 7], [9, 9], [10], [10], [8, 10]]
[[6, 8], [8, 8], [6, 9], [10], [6, 9], [10], [5, 6, 6], [5, 5, 5], [7, 7], [9], [10], [7, 7], [7, 10], [6, 9], [8, 8], [], [7, 10], [10], [9], [9], [10], [6, 9], [10], [8, 8], [10], [10], [8, 9], [8, 8]]
[[6, 8], [8, 8], [5, 9], [10], [7, 9], [7, 9], [9], [9], [9], [10], [10], [10], [7, 7], [8, 8], [8, 9], [], [8, 8], [6, 6], [8, 8], [5, 5, 5], [6, 10], [10], [6, 6], [10], [9], [6, 10], [7, 7], [10], [10]]
[[6, 10], [8, 8], [10], [6, 9], [7, 7], [9], [8, 8], [], [6, 6], [10], [8, 8], [10], [7, 9], [7, 7], [10], [5, 5, 5], [9], [10], [6, 10], [], [10], [10], [6, 6], [9], [5, 10], [9], [9], [7, 9], [8, 8], [8, 8]]
[[6, 8], [9], [5, 9], [7, 7], [9], [10], [9], [7, 7], [10], [10], [9], [9], [9], [10], [5, 10], [8, 8], [7, 7], [6, 6], [8], [], [5, 10], [8, 8], [9], [10], [10], [6, 6], [8, 8], [5, 10], [10], [6, 6], [8, 8]]
[[6, 10], [8, 8], [9], [7, 7], [], [7, 7], [5, 10], [10], [10], [8, 8], [9], [9], [9], [10], [6, 6], [8, 8], [10], [8, 8], [], [6, 6], [10], [5, 5, 5], [9], [10], [6, 6], [9], [9], [7, 7], [9], [10], [10], [8, 8]]
[[6, 8], [9], [10], [9], [8], [10], [9], [9], [10], [7, 7], [10], [8], [8], [6, 8], [9], [8], [8], [7, 7], [5, 6], [10], [9], [6, 8], [10], [10], [6, 6], [7, 7], [10], [6, 8], [5, 8], [10], [10], [5, 9], [5, 9]]
[[5, 9], [10], [8], [10], [10], [10], [8], [10], [6, 6], [10], [8], [8], [7, 7], [9], [9], [9], [7, 7], [10], [10], [9], [9], [9], [7, 7], [10], [5, 5], [8], [8], [10], [9], [6, 8], [5, 8], [6, 6], [6, 8], [6, 8]]
[[6, 8], [10], [9], [8], [9], [9], [5, 5], [9], [10], [6, 6], [6, 8], [8], [5, 5], [10], [8], [7, 7], [10], [9], [10], [7, 7], [10], [8], [9], [10], [10], [6, 6], [9], [10], [9], [7, 7], [8], [8], [8], [10], [6, 8]]
[[6, 6], [10], [8], [6, 7], [10], [9], [8], [9], [5, 8], [9], [10], [9], [10], [10], [10], [8], [10], [10], [10], [9], [10], [7], [6, 7], [6, 7], [8], [6, 7], [9], [8], [9], [8], [8], [9], [8], [5, 7], [5, 8], [5, 6]]
[[5, 7], [6, 7], [9], [10], [8], [5, 5], [8], [9], [10], [9], [10], [8], [10], [7], [9], [8], [10], [9], [8], [10], [6, 6], [8], [7], [8], [10], [10], [9], [8], [10], [10], [9], [5, 8], [9], [6, 7], [6, 6], [8], [6, 7]]
[[6, 7], [8], [5, 8], [8], [9], [5, 8], [10], [8], [6, 6], [9], [7], [8], [7], [10], [8], [7], [9], [9], [5, 5], [10], [10], [6, 6], [8], [10], [8], [9], [7], [8], [9], [7], [10], [10], [9], [6, 6], [9], [10], [10], [10]]
[[9], [8], [9], [7], [8], [9], [10], [6, 6], [7], [9], [8], [10], [6, 6], [8], [8], [10], [7], [7], [10], [9], [5, 5], [9], [9], [6, 6], [9], [5, 7], [10], [10], [8], [8], [10], [8], [8], [7], [10], [8], [10], [10], [5, 6]]
[[8], [8], [8], [7], [7], [9], [9], [8], [9], [10], [10], [10], [10], [5, 5], [6, 6], [10], [9], [10], [9], [], [6], [10], [8], [8], [8], [10], [6, 6], [10], [8], [8], [5, 7], [8], [9], [10], [9], [6, 6], [7], [5, 7], [9], [7]]
[[8], [8], [8], [8], [7], [7], [9], [8], [5, 5], [9], [10], [], [10], [10], [], [7], [9], [8], [8], [7], [5, 7], [9], [6, 6], [10], [10], [6, 6], [8], [10], [5, 6], [8], [8], [10], [9], [10], [9], [6, 6], [9], [10], [10], [7], [9]]
[[10], [7], [8], [7], [8], [10], [8], [6, 6], [8], [9], [7], [9], [], [5, 5], [7], [8], [8], [9], [], [8], [10], [], [10], [10], [9], [9], [5, 6], [8], [9], [8], [7], [10], [8], [10], [9], [6, 6], [6, 6], [10], [9], [10], [10], [5, 7]]
[[8], [8], [8], [6, 6], [10], [9], [8], [9], [9], [5, 5], [7], [], [9], [10], [10], [6, 6], [10], [7], [9], [10], [6, 6], [10], [], [10], [], [], [5, 6], [8], [9], [8], [8], [9], [10], [8], [10], [7], [8], [9], [10], [8], [7], [7], [5, 7]]
[[10], [7], [8], [], [8], [9], [6, 6], [8], [], [7], [9], [], [10], [7], [9], [], [8], [9], [9], [10], [8], [10], [6, 6], [5, 5], [9], [10], [7], [8], [], [7], [8], [9], [5, 6], [10], [8], [6, 6], [10], [8], [10], [9], [10], [5, 7], [10], [8]]
[[8], [8], [8], [8], [8], [7], [10], [], [7], [10], [], [8], [10], [9], [5, 5], [9], [9], [10], [6], [7], [9], [9], [6], [8], [8], [6], [10], [9], [9], [7], [8], [6], [8], [10], [10], [6], [10], [10], [9], [7], [10], [6], [7], [5, 5], [6]]
-EndAllocation

Instance: [[1], [355], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [237, 158, 118, 94, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [178, 119, 89, 71, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 7, 8, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9], [4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [9, 9, 10, 10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [5, 5, 10, 10, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10, 10, 10], [7, 8, 10, 10, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 10, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10, 10], [5, 5, 8, 10, 10, 10, 10, 10], [6, 9, 9, 10, 10], [10, 10, 10, 10, 10, 10]]
[[], [7, 9, 9, 10, 10, 10], [5, 5, 10, 10, 10, 10, 10], [6, 8], [10, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10], [10, 10, 10, 10, 10, 10], [8, 10, 10, 10, 10, 10]]
[[], [4, 4, 8, 10, 10, 10], [8, 10, 10, 10, 10], [9, 9, 10, 10, 10], [10, 10], [10, 10, 10, 10, 10], [7, 10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], [6, 10, 10, 10, 10]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [5, 5, 10, 10, 10], [8, 10, 10, 10, 10], [8, 10, 10, 10, 10], [9, 9, 10, 10, 10], [10, 10, 10, 10], [4, 4], [10, 10, 10], [6, 10, 10, 10, 10]]
[[], [4, 10, 10, 10, 10], [7, 8, 10, 10], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 10, 10, 10], [10, 10, 10, 10], [8, 10, 10, 10], [10, 10, 10, 10], [9, 9, 10, 10], [6, 10, 10, 10]]
[[], [10], [], [8, 10, 10, 10], [4, 7, 10, 10], [10, 10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 10, 10, 10], [8, 10, 10, 10], [9, 9, 10, 10], [5, 5, 10, 10, 10], [10, 10, 10, 10]]
[[], [10], [8, 10, 10], [10, 10, 10], [5, 5, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 10, 10], [6, 8, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [9, 9, 10], [7, 10, 10, 10]]
[[], [10, 10, 10], [4, 4, 4, 4, 10], [10, 10, 10], [5, 5], [8, 9, 9], [6, 10, 10], [8, 10, 10], [10, 10, 10], [10, 10, 10], [7, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10]]
[[], [4, 4, 4, 4, 6, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 9, 9], [10, 10, 10], [7, 10, 10], [8, 10, 10], [], [], [8, 10, 10]]
[[], [5, 5], [8], [10, 10, 10], [6, 7, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 10], [], [10, 10, 10], [10, 10, 10], [10, 10], [10, 10, 10], [4, 4, 4, 4, 4, 4, 4], [9, 9, 10]]
[[], [8, 10], [10, 10], [10, 10], [10, 10], [7, 10, 10], [4, 4, 10, 10], [10, 10], [4, 4, 4, 4, 4, 6], [10, 10], [4, 4, 4, 4, 4, 8], [5, 5, 10], [10, 10], [10, 10], [9, 9, 10], [10, 10], [10, 10]]
[[10], [10, 10], [6, 7, 10], [4, 4, 4, 4, 4, 4], [10, 10], [8, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [5, 5, 8], [10, 10], [10, 10]]
[[], [4, 4, 4, 4, 4, 4], [6, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4], [5, 5, 10], [10, 10], [7, 10], [10, 10], [9, 9], [10, 10], [8, 10], [8, 10]]
[[], [8, 10], [10, 10], [10], [5, 5, 10], [10, 10], [4, 4, 4, 4, 4, 4], [10, 10], [], [10, 10], [9, 9], [6, 7, 8], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4], [8], [10, 10], [4, 4, 4, 4, 4], [10], [10, 10], [10, 10], [5, 5, 8], [10, 10], [7, 10], [10, 10], [10, 10], [10, 10], [10, 10], [], [10, 10], [10, 10], [10, 10], [4, 6, 10], [4, 9, 9]]
[[], [], [10, 10], [8], [10, 10], [8, 10], [4, 4, 4, 4, 4], [10, 10], [6, 10], [5, 5, 10], [10, 10], [], [4, 4, 7], [9, 9], [4, 4, 4, 4, 4], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [8], [10, 10], [4, 4, 10], [8, 10], [], [4, 4, 4, 4, 4], [10, 10], [], [9, 9], [], [6, 10], [7, 10], [10, 10], [5, 5, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4]]
[[], [6, 10], [], [10, 10], [10, 10], [4, 4, 4, 4, 4], [10, 10], [], [9, 9], [10, 10], [10, 10], [10, 10], [10], [10, 10], [10, 10], [10, 10], [4, 4, 4, 4, 4], [5, 5, 10], [7], [], [8], [4, 4, 8], [10, 10], [10, 10]]
[[], [], [10, 10], [10, 10], [10, 10], [4, 4], [5, 5], [10, 10], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [10, 10], [8, 10], [], [], [10, 10], [10], [10, 10], [10, 10], [10, 10], [6, 10], [10, 10], [9, 9], [7, 8], [10, 10], []]
[[10], [7, 10], [10], [4, 4, 10], [4, 4, 10], [9, 9], [4, 4, 10], [10], [5, 10], [10], [10], [8, 10], [5, 10], [10], [10], [4, 4, 10], [10], [6, 10], [4, 4, 10], [10], [8, 10], [10], [10], [4, 4, 10], [10], [10]]
[[10], [10], [9, 9], [10], [4, 4, 10], [5, 10], [10], [10], [4, 4, 10], [10], [4, 4, 10], [10], [8, 10], [10], [10], [7, 10], [4, 4, 10], [10], [8, 10], [5, 10], [6, 10], [10], [10], [10], [4, 4, 4, 4], [10], [10]]
[[10], [4, 10], [4, 5, 5], [4, 10], [4, 10], [4, 10], [4, 10], [4, 10], [8, 9], [4, 10], [6, 10], [10], [4, 10], [10], [10], [7, 10], [10], [4, 10], [10], [10], [10], [8, 9], [10], [10], [10], [10], [4, 10], [4, 10]]
[[10], [4, 10], [10], [10], [10], [10], [10], [10], [10], [10], [5, 10], [10], [10], [8, 9], [5, 10], [7, 10], [10], [6, 10], [8, 9], [4, 10], [10], [4, 4, 4, 4], [4, 10], [10], [10], [10], [4, 4, 4, 4], [10], [4, 10]]
[[10], [10], [9], [4, 10], [4, 5, 5], [8, 8], [10], [4, 10], [10], [7], [4, 10], [10], [10], [10], [4, 9], [10], [10], [4, 10], [4, 10], [4, 10], [4, 10], [4, 10], [10], [10], [10], [10], [10], [6, 10], [4, 10], [4, 10]]
[[10], [10], [10], [10], [10], [4, 10], [8], [10], [4, 10], [10], [4, 10], [10], [5, 9], [10], [6, 10], [9], [4, 4, 4, 4], [10], [10], [10], [10], [4, 10], [10], [7, 8], [5, 10], [10], [4, 4, 4, 4], [10], [10], [10], [10]]
[[9], [8], [10], [10], [10], [10], [7, 9], [4, 10], [10], [10], [10], [4, 10], [10], [4, 4, 4, 4], [10], [10], [4, 10], [10], [10], [6, 10], [10], [10], [10], [8], [10], [10], [10], [10], [4, 5, 5], [4, 4, 4, 4], [10], [10]]
[[10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [4, 10], [10], [10], [4, 10], [10], [4, 4, 6], [10], [10], [4, 10], [10], [10], [4, 4, 4], [10], [10], [10], [4, 8], [4, 5, 5], [10], [9], [10], [7], [4, 8], [4, 10]]
[[10], [10], [4, 10], [10], [10], [10], [10], [9], [4, 4, 4], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [10], [4, 7], [10], [8], [6, 8], [10], [10], [4, 4, 4], [4, 9], [5, 5], [10], [10]]
[[10], [10], [10], [4, 8], [10], [10], [7], [10], [10], [10], [6], [10], [10], [10], [4, 4, 4], [4, 4, 4], [4, 10], [5, 5], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [4, 8], [10], [10], [9], [10], [9]]
[[10], [10], [7], [10], [10], [10], [8], [4, 4, 4], [10], [10], [4, 4, 4], [9], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [9], [10], [10], [10], [10], [10], [10], [5, 5], [10], [8], [10], [10], [10], [4, 4, 4], [6]]
[[], [10], [4, 4, 4], [10], [10], [4, 8], [10], [10], [4, 4, 4], [7], [10], [10], [4, 4, 4], [10], [4, 9], [10], [10], [4, 9], [10], [], [10], [10], [10], [10], [10], [5, 5], [10], [8], [10], [10], [10], [10], [10], [10], [10], [10], [6]]
[[10], [10], [10], [], [10], [10], [10], [10], [5, 6], [4, 4, 4], [4, 8], [5], [4, 4, 4], [9], [10], [10], [10], [10], [10], [], [10], [10], [10], [10], [10], [8], [10], [], [10], [10], [4, 4, 4], [10], [10], [10], [4, 9], [4, 7], [10], [10]]
[[10], [10], [8], [10], [10], [10], [4, 8], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [5, 5], [7], [10], [10], [9], [4, 9], [4, 4, 4], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [4, 6], [], [], [], [10], [10], [10], [], [10]]
[[10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [4, 4, 4], [10], [10], [], [8], [4, 4, 4], [10], [8], [4, 4, 4], [10], [10], [10], [9], [10], [10], [10], [10], [10], [6], [10], [7], [10], [9], [], [5, 5], [10], [], [10], [], [10]]
[[10], [10], [8], [10], [], [10], [], [10], [10], [10], [], [], [5, 5], [10], [], [10], [6], [4, 4, 4], [10], [10], [10], [9], [10], [10], [4, 4, 4], [8], [10], [7], [4, 4, 4], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [10], [10], [9]]
[[], [10], [10], [10], [], [10], [10], [], [5, 5], [10], [4, 4, 4], [8], [10], [10], [], [10], [10], [4, 4, 4], [10], [4, 4, 4], [9], [8], [10], [10], [10], [10], [9], [10], [10], [10], [10], [4, 4, 4], [10], [], [10], [7], [10], [10], [], [10], [10], [6]]
[[10], [10], [10], [4, 4, 4], [10], [10], [10], [10], [10], [10], [5, 5], [4, 4, 4], [], [10], [10], [8], [9], [], [], [], [], [], [7], [10], [4, 4, 4], [10], [6], [9], [10], [10], [10], [10], [10], [10], [], [4, 4, 4], [10], [8], [10], [10], [10], [10], [10]]
[[10], [10], [], [10], [6], [4, 4, 4], [10], [7], [10], [10], [10], [10], [], [4, 4, 4], [], [], [], [], [10], [10], [8], [10], [4, 4, 4], [10], [], [8], [10], [10], [5, 5], [10], [4, 4, 4], [10], [10], [10], [], [10], [10], [9], [10], [10], [10], [10], [9], [10]]
[[10], [10], [10], [8], [6], [10], [4, 4], [10], [4, 4], [7], [], [10], [], [10], [10], [10], [4, 4], [], [10], [9], [10], [10], [10], [10], [10], [9], [10], [10], [10], [], [], [4, 4], [4, 4], [10], [], [10], [8], [10], [4, 4], [10], [5, 5], [], [10], [10], [10]]
-EndAllocation

Instance: [[1], [354], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [236, 157, 118, 94, 78, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [177, 118, 89, 71, 59, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 7], [8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10], [5, 5, 5, 10, 10, 10, 10, 10, 10], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [7, 8, 10, 10, 10, 10, 10], [5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9], [10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [5, 5, 5, 9, 9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9]]
[[], [10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[5, 6, 7, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9, 9, 9], [5, 5, 5, 8, 8, 8, 8], [], [10], [8, 8, 8, 9, 9], [6, 6, 6, 6, 10, 10], [6, 8, 8, 8, 8, 8]]
[[5, 7, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [6], [6, 6, 6, 6, 6], [8, 8, 8, 8, 10], [10, 10, 10, 10], [5, 5, 5, 9, 9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 10], [], [10, 10, 10, 10], [7, 7, 7, 7, 7], [7, 7, 8, 8], [], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [], [10, 10, 10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [7, 7], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9]]
[[5, 8, 8, 8], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 10], [9, 9, 9], [5, 5, 5, 6, 10], [9], [8, 8, 8], [7, 7, 7, 10], [7, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], []]
[[8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [6], [5, 5, 5, 5], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [], [8, 8, 8, 8], [], [6, 6, 6, 6, 6], [7, 7, 7, 9]]
[[7, 8, 8], [9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 10], [10, 10, 10], [10], [7, 7, 7, 7], [9], [6, 6, 6, 6, 6], [8, 8, 8], [6, 8, 8, 8], [10, 10, 10], [8], [7, 7, 10], [], [8, 8, 8]]
[[7, 7, 7, 7], [8, 8, 8], [9], [6, 6], [10, 10], [5, 5, 5, 5, 8], [6, 6, 6, 6], [8, 10, 10], [9, 9, 9], [8, 8, 8], [7], [9, 9, 9], [8, 8, 8], [8, 10, 10], [7, 7, 10], [], [10, 10]]
[[8, 8, 8], [8, 8, 8], [], [5, 5, 5, 5], [10, 10], [9, 9], [9, 10], [9, 9], [7, 9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [6, 10, 10], [7, 7, 7], [6, 10, 10], [8, 8, 8], [], [6, 6, 6, 6]]
[[8, 8], [8, 8], [5, 5, 5], [8, 9], [10, 10], [5, 6, 6], [7, 7, 7], [10, 10], [10, 10], [7, 8, 10], [9, 9], [6, 6, 6, 6], [8, 8], [9, 9], [8, 8], [8, 8], [7, 7, 7], [10, 10], [9, 9]]
[[8, 8, 8], [9], [10], [9, 9], [9, 9], [10, 10], [], [6, 6], [8, 8, 8], [7, 7, 7], [9, 9], [7], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [7, 7, 7], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10]]
[[7, 8], [10, 10], [5, 5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [10], [9, 9], [8, 8], [8, 8], [8, 8], [7, 7, 7], [6, 6, 6], [8, 9], [10, 10], [8, 8], [8, 8], [9, 9], [6, 6, 6], [], [10, 10]]
[[8, 8], [10, 10], [5, 5, 5, 5], [], [10], [8, 8], [9, 9], [9, 9], [8, 8], [8, 8], [10, 10], [10, 10], [8, 8], [10, 10], [7, 9], [7, 7, 7], [9, 9], [6, 6, 6], [7, 7, 7], [], [6, 6, 6], [8, 8]]
[[7, 8], [8, 8], [8, 8], [10, 10], [7, 7, 7], [10, 10], [], [9, 9], [8, 8], [8, 8], [5, 5, 5, 5], [7, 7, 7], [8, 10], [], [6, 6, 6], [6, 6, 6], [], [9], [9, 9], [10, 10], [9, 9], [10, 10], [8, 8]]
[[8, 8], [8, 8], [7, 9], [5, 5, 5, 5], [10, 10], [10, 10], [7, 7], [], [], [10, 10], [8, 8], [6, 6, 6], [8, 8], [10, 10], [6, 6, 6], [7, 7], [], [8, 8], [10], [9, 9], [9, 9], [9, 9], [7, 7], [8, 8]]
[[8, 8], [8, 8], [10, 10], [5, 5, 5, 5], [9, 9], [6, 7, 7], [6, 6, 7], [10], [], [8, 8], [], [9, 9], [], [6, 6, 6], [8, 8], [9, 9], [9], [7, 7], [], [8, 8], [7, 7], [10, 10], [10, 10], [10, 10], [8, 8]]
[[8], [7, 7], [7, 9], [8, 10], [8, 9], [8, 9], [7, 7], [8, 10], [6, 6, 6], [8], [5, 10], [8, 9], [8, 10], [8, 9], [7, 7], [10], [10], [8], [5, 5, 5], [10], [9], [10], [8, 10], [9], [8], [6, 6, 6]]
[[5, 8], [8, 8], [6, 6, 6], [7, 9], [9, 9], [10], [10], [7, 7], [8, 8], [7, 7], [8, 8], [8, 10], [10], [7, 7], [10], [9, 9], [], [10], [], [10], [9, 9], [8, 8], [5, 5, 5], [6, 6, 6], [10], [10], [8, 8]]
[[8, 8], [8, 8], [7, 10], [10], [6, 9], [10], [10], [5, 5, 5], [7, 9], [10], [7, 10], [7, 7], [], [6, 6], [8, 8], [9], [7, 7], [6, 10], [9], [6, 6], [9], [9], [10], [8, 8], [9], [5, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 9], [10], [7, 9], [7, 9], [5, 9], [10], [8, 8], [10], [10], [10], [7, 7], [6, 8], [], [], [8], [6, 6], [8, 8], [5, 5, 5], [6, 10], [10], [9], [10], [9], [6, 9], [7, 7], [6, 10], [8, 8]]
[[8, 8], [8, 8], [10], [6, 9], [7, 7], [7], [8, 8], [], [6, 6], [10], [5, 5, 5], [10], [8, 8], [7, 7], [9], [9], [10], [10], [9], [10], [10], [10], [6, 6], [9], [7, 7], [6, 9], [5, 9], [10], [8, 8], [8, 8]]
[[7, 8], [9], [10], [6, 9], [7, 8], [8, 8], [10], [6, 6], [10], [9], [9], [9], [], [5, 6], [7, 7], [8, 8], [10], [5, 5, 5], [10], [], [10], [8, 8], [7, 9], [10], [10], [6, 6], [8, 8], [9], [10], [7, 7], [8, 8]]
[[8, 8], [8, 8], [7, 9], [7, 7], [6, 8], [6, 8], [7, 8], [9], [10], [8], [8], [9], [9], [10], [9], [8], [10], [8], [], [6, 6], [10], [5, 5, 5], [10], [10], [6, 6], [9], [10], [7, 7], [10], [5, 10], [7, 9], [8]]
[[8], [6, 8], [8], [6, 8], [9], [10], [7, 7], [8], [10], [10], [9], [9], [5, 8], [9], [10], [5, 8], [10], [6, 7], [5, 9], [6, 8], [8], [6, 7], [9], [6, 7], [10], [8], [10], [10], [5, 8], [8], [7, 7], [10], [9]]
[[5, 8], [8], [6, 8], [5, 8], [10], [6, 8], [8], [10], [6, 6], [10], [5, 8], [10], [7, 7], [9], [10], [8], [7, 7], [10], [], [10], [9], [9], [8], [8], [7, 7], [6, 8], [9], [9], [9], [9], [5, 8], [6, 7], [10], [10]]
[[8], [5, 9], [8], [8], [9], [10], [5, 9], [10], [7, 7], [7, 7], [6, 8], [6, 6], [5, 5], [8], [8], [10], [8], [9], [10], [6, 8], [10], [10], [9], [10], [8], [], [10], [7, 7], [9], [10], [9], [7], [6, 8], [6, 8], [8]]
[[10], [9], [5, 8], [10], [7], [10], [10], [9], [8], [9], [6, 6], [7], [10], [8], [9], [5, 8], [10], [10], [9], [10], [5, 8], [5, 8], [6, 7], [6, 7], [8], [9], [8], [7], [8], [8], [8], [10], [9], [8], [6, 7], [6, 7]]
[[5, 8], [10], [9], [8], [5, 8], [5, 6], [10], [10], [8], [9], [10], [9], [8], [8], [9], [8], [10], [9], [10], [6, 7], [5, 7], [8], [6, 7], [6, 6], [8], [7], [9], [8], [10], [7], [9], [7], [10], [6, 7], [10], [8], [8]]
[[5, 8], [8], [10], [9], [7], [10], [8], [6, 7], [6, 6], [8], [8], [5, 8], [7], [9], [7], [10], [10], [5, 8], [10], [9], [8], [9], [9], [7], [9], [8], [7], [], [8], [10], [10], [8], [10], [6, 6], [10], [5, 8], [9], [6, 7]]
[[7], [5, 8], [6, 6], [8], [9], [10], [10], [6, 6], [8], [9], [8], [8], [8], [9], [7], [10], [7], [9], [10], [9], [5, 5], [9], [7], [6, 6], [7], [7], [10], [10], [8], [10], [8], [5, 8], [7], [8], [9], [8], [8], [10], [10]]
[[5, 7], [5, 7], [8], [8], [7], [8], [8], [8], [8], [10], [10], [10], [7], [10], [6, 6], [10], [9], [], [6, 6], [5, 5], [8], [10], [6, 6], [8], [8], [10], [9], [10], [9], [7], [7], [9], [9], [8], [9], [10], [7], [8], [9], [8]]
[[7], [6, 6], [8], [10], [8], [7], [6, 6], [9], [10], [7], [8], [5, 7], [8], [6, 6], [10], [5, 7], [9], [10], [8], [], [8], [8], [9], [], [10], [8], [9], [10], [8], [9], [9], [5, 5], [8], [7], [10], [8], [7], [8], [10], [10], [9]]
[[5, 7], [7], [6], [7], [8], [], [7], [6, 6], [9], [6], [5, 7], [10], [8], [9], [10], [10], [8], [8], [10], [10], [9], [10], [10], [8], [9], [5, 7], [9], [9], [8], [10], [], [8], [6, 6], [8], [8], [10], [8], [9], [8], [8], [], [5, 7]]
[[8], [7], [7], [7], [10], [9], [7], [7], [9], [5, 5], [8], [], [9], [], [10], [6, 6], [10], [10], [8], [8], [10], [9], [5, 5], [10], [], [10], [8], [9], [6, 6], [9], [9], [8], [10], [6, 6], [8], [7], [8], [10], [8], [8], [8], [7], [8]]
[[5, 5], [8], [8], [8], [7], [9], [7], [10], [10], [], [9], [6, 6], [6, 6], [10], [6, 6], [9], [9], [10], [9], [], [10], [10], [8], [9], [8], [], [9], [10], [7], [7], [7], [8], [8], [8], [7], [5, 5], [], [10], [7], [10], [8], [8], [8], [8]]
[[8], [8], [8], [8], [8], [7], [10], [10], [7], [10], [], [8], [6], [9], [5, 5], [9], [10], [10], [8], [8], [9], [9], [], [7], [7], [6], [10], [9], [9], [7], [8], [6], [8], [10], [6], [8], [10], [10], [9], [7], [6], [7], [6], [5, 5], [8]]
-EndAllocation

Instance: [[1], [353], 45]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,45. UB Alg: [236, 157, 118, 94, 78, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [177, 118, 89, 71, 59, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,45:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 8, 8, 8], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 9, 9, 9, 10]]
[[8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10], [9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 10, 10, 10]]
[[], [8, 8, 8, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 8, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [5, 9, 9, 9, 10, 10, 10, 10], [8, 8, 8, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10], [7, 7, 7, 7, 7, 7, 7, 8, 10, 10]]
[[], [6, 6, 10, 10], [8, 10, 10, 10, 10, 10, 10], [6, 7, 7, 7, 7, 7, 7, 7, 10], [5, 5, 5, 5, 5, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9], [6, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 7, 9, 9, 9], [5, 5, 5, 5, 5, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 8, 8, 8], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [8, 10]]
[[], [8, 10, 10, 10, 10], [5, 8, 8, 8, 10, 10], [9, 9, 9, 10, 10], [10], [6, 6, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 10, 10], [8, 10, 10, 10, 10], [8, 8, 8, 10, 10], [9, 9, 9, 10, 10], [6, 10, 10, 10, 10], [], [7, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [10, 10, 10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 8, 8, 8], [8, 10, 10, 10], [10, 10, 10, 10], [7, 9, 9, 9, 10], [6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [], [8, 8, 8, 10], [7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 10, 10, 10], [9, 9, 9, 10], [5, 5, 5, 5, 5, 10], [7, 7, 10, 10]]
[[], [], [8, 8, 8, 8], [6, 6, 6, 6, 10], [5, 5, 5, 5, 5, 10], [10, 10, 10], [7, 7, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10], [10, 10], [9, 9, 9, 10], [7, 7, 7, 7, 7]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5], [9, 9, 9], [6, 6, 6, 6, 6], [8], [10, 10, 10], [7, 7, 7, 10], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10], [5, 9, 9, 9], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [], [7, 7, 7, 8]]
[[], [], [7, 7, 7, 8], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7], [10, 10, 10], [10], [], [10, 10, 10], [5, 5, 5, 5, 5], [9, 9, 9]]
[[], [8, 8], [10, 10], [6, 6, 6, 6], [6, 7, 7, 7], [7, 7, 7, 7], [8, 10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [6, 8, 10], [5, 5, 5, 5, 5], [10, 10], [10, 10], [9, 9, 9], [10, 10], [10]]
[[], [8, 8, 8], [6, 6, 9], [10, 10], [7, 7, 7], [5, 8, 10], [10, 10], [6, 6, 6, 6], [10], [10, 10], [10, 10], [6, 6, 6, 7], [10, 10], [9, 9], [7, 7, 7], [5, 5, 5, 5], [10, 10], [6, 10, 10]]
[[], [10, 10], [6, 6, 6, 6], [10, 10], [9, 10], [10, 10], [7], [8, 10], [6, 6, 6, 6], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [7, 7, 7], [6, 6, 10], [9, 9], [7, 7, 7], [5, 8, 8], [8, 10]]
[[], [8, 8, 8], [10, 10], [], [5, 5, 6, 6], [10, 10], [6, 6, 6, 6], [10, 10], [7], [9, 10], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [7, 7, 7], [10, 10], [8, 10], [10, 10], [5, 5, 5], [10, 10]]
[[], [6, 6, 6], [5, 8], [10, 10], [10, 10], [8], [10, 10], [6, 6, 7], [5, 5, 5, 5], [10, 10], [7, 7, 7], [7, 7, 7], [], [10, 10], [10, 10], [6, 6, 9], [10, 10], [8, 8], [10, 10], [6, 6, 6], [9, 9]]
[[], [], [5, 10], [7, 7, 7], [6, 6, 7], [8, 8], [6, 6, 6], [10, 10], [6, 6, 6], [5, 5, 5, 5], [8, 8], [], [7, 7, 7], [9, 9], [9, 10], [10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 10], [10, 10]]
[[], [6, 6, 6], [5, 8, 8], [10, 10], [8, 8], [], [6, 6, 6], [10, 10], [], [9, 9], [], [6, 6, 6], [7, 7, 7], [7, 7, 7], [5, 5, 5, 5], [6, 10], [10, 10], [10], [7, 10], [10, 10], [10, 10], [9, 10], [10, 10]]
[[], [6, 6, 6], [6, 6, 6], [10, 10], [10, 10], [], [9, 10], [8], [9, 9], [10, 10], [10, 10], [7, 10], [], [6, 7, 7], [10, 10], [10, 10], [], [5, 5, 5, 5], [5, 7, 7], [6, 6, 6], [8, 8], [8], [10, 10], [7, 7]]
[[], [], [7, 10], [7, 7], [10, 10], [6, 6, 6], [5, 5, 5, 5], [10, 10], [10, 10], [5], [10, 10], [8, 8], [], [], [8, 8], [7, 7], [10, 10], [6, 6, 6], [10], [6, 9], [10, 10], [9, 9], [7, 7], [10, 10], [6, 6, 6]]
[[10], [7, 7], [6, 6, 6], [8, 10], [10], [9, 9], [7, 7], [10], [5, 10], [10], [6, 10], [8, 10], [5, 5, 5], [10], [10], [7, 10], [7, 7], [6, 6, 6], [10], [5, 10], [8, 8], [10], [10], [6, 6, 6], [9], [10]]
[[10], [10], [9, 9], [7, 7], [10], [10], [10], [10], [10], [10], [7, 7], [7, 9], [6, 6, 6], [10], [10], [7, 7], [8, 8], [6, 6, 6], [5, 5, 8], [5, 5, 5], [6, 6, 6], [10], [10], [6, 10], [10], [8, 10], [10]]
[[10], [10], [5, 5, 5], [10], [6, 10], [6, 10], [6, 6], [10], [8, 9], [7, 10], [6, 6], [7, 7], [10], [10], [5, 5, 6], [7, 7], [7, 7], [10], [6, 9], [8], [10], [6, 9], [6, 10], [8, 8], [10], [10], [10], [10]]
[[10], [5, 5, 5], [6, 6], [6, 10], [9], [10], [10], [6, 8], [6, 6], [7, 7], [10], [7, 10], [9], [8], [5, 5, 6], [7, 7], [10], [6, 6], [7, 9], [10], [10], [10], [10], [10], [10], [6, 10], [7, 10], [8, 8], [10]]
[[10], [8, 8], [7, 9], [6, 6], [5, 5, 5], [7, 8], [7, 8], [7, 7], [10], [7, 7], [10], [5, 10], [10], [10], [9], [10], [10], [6, 6], [10], [10], [6, 9], [10], [10], [10], [10], [5, 6], [10], [6, 6], [6, 6], [10]]
[[10], [10], [10], [7, 9], [5, 5, 5], [6, 6], [8], [10], [6, 6], [6, 6], [10], [10], [5, 5], [10], [6, 6], [7, 9], [8, 8], [10], [7, 7], [10], [10], [7, 8], [10], [7, 7], [10], [10], [10], [6, 6], [9], [10], [10]]
[[9], [8, 8], [10], [10], [10], [7, 7], [7, 7], [10], [6, 6], [5, 5], [9], [10], [10], [6, 10], [7], [8], [7, 7], [10], [10], [6, 6], [10], [10], [6, 6], [8], [6, 6], [10], [10], [10], [5, 5, 5], [9], [6, 10], [10]]
[[10], [10], [10], [7, 7], [10], [10], [10], [10], [10], [9], [10], [6, 6], [10], [10], [10], [6, 6], [10], [8], [7, 7], [10], [6, 6], [6, 7], [6, 8], [6, 6], [10], [8], [5, 5], [5, 5], [5, 9], [9], [7, 7], [8], [10]]
[[10], [10], [10], [10], [7], [10], [10], [9], [9], [5, 5], [10], [10], [8], [10], [7, 7], [6, 6], [7, 7], [8], [10], [10], [10], [10], [6, 6], [7, 7], [6, 8], [8], [6, 6], [10], [6, 6], [5, 5], [9], [5, 6], [10], [10]]
[[10], [7, 7], [10], [8], [6, 6], [10], [7, 7], [10], [10], [10], [6, 6], [10], [6, 6], [10], [6, 6], [10], [7], [5, 5], [10], [10], [5, 5], [6, 8], [7, 7], [10], [9], [5, 6], [10], [10], [], [8], [10], [8], [9], [10], [9]]
[[10], [8], [6, 7], [5, 5], [10], [10], [8], [9], [5, 6], [10], [10], [9], [10], [7], [10], [10], [8], [10], [6, 7], [6, 6], [10], [9], [10], [10], [10], [7], [7], [10], [5, 5], [6, 6], [8], [10], [10], [6, 7], [7], [6, 6]]
[[8], [10], [7], [9], [7], [8], [10], [10], [7], [7], [7], [10], [7], [6, 6], [9], [10], [10], [9], [10], [8], [10], [6, 6], [10], [10], [10], [5, 5], [10], [8], [10], [10], [5, 5], [10], [5, 7], [6, 6], [6, 6], [10], [6, 6]]
[[10], [10], [10], [7], [10], [5, 7], [7], [7], [6, 6], [10], [8], [5, 5], [10], [6, 6], [8], [7], [10], [7], [10], [6, 6], [10], [10], [9], [6, 6], [8], [8], [10], [6, 6], [10], [5, 5], [10], [10], [10], [9], [9], [7], [], [10]]
[[10], [10], [5, 8], [5, 8], [6, 6], [7], [8], [10], [7], [10], [6, 6], [10], [10], [7], [10], [9], [7], [7], [10], [9], [9], [6, 6], [10], [], [7], [10], [5, 5], [10], [10], [8], [6, 6], [10], [], [6, 6], [10], [10], [10], [7], [5]]
[[10], [9], [10], [10], [10], [7], [10], [10], [], [10], [7], [10], [10], [6, 6], [5, 5], [10], [10], [8], [6, 6], [10], [6, 6], [7], [9], [8], [9], [8], [7], [10], [6, 6], [10], [7], [7], [6, 6], [5], [5, 5], [10], [], [10], [7], [8]]
[[10], [6, 6], [8], [10], [7], [6, 6], [7], [10], [10], [10], [10], [], [5, 5], [7], [], [10], [6, 6], [], [10], [6, 6], [5], [9], [8], [7], [6, 6], [8], [10], [7], [10], [7], [9], [10], [10], [10], [7], [10], [10], [8], [5, 5], [10], [9]]
[[], [8], [10], [10], [7], [10], [10], [10], [5, 5], [9], [10], [8], [7], [10], [10], [7], [10], [7], [6, 6], [10], [9], [8], [6, 6], [7], [7], [10], [6, 6], [9], [6, 6], [8], [10], [], [10], [], [10], [7], [5], [10], [], [5, 5], [10], [6, 6]]
[[7], [10], [10], [5], [10], [10], [8], [10], [9], [10], [5, 5], [], [7], [10], [6, 6], [8], [9], [], [], [], [7], [], [7], [10], [6, 6], [10], [6, 6], [9], [7], [10], [10], [10], [10], [6, 6], [8], [7], [10], [8], [7], [5, 5], [10], [10], [6, 6]]
[[10], [10], [], [10], [6, 6], [10], [10], [7], [10], [6, 6], [10], [7], [7], [10], [], [], [8], [], [10], [], [8], [10], [6, 6], [10], [9], [8], [6, 6], [7], [5, 5], [8], [10], [10], [], [10], [6, 6], [10], [5], [9], [7], [10], [7], [7], [9], [5, 5]]
[[10], [10], [10], [8], [6], [10], [7], [7], [6], [7], [9], [5, 5], [6], [6], [10], [6], [6], [8], [10], [9], [10], [9], [7], [10], [6], [7], [10], [10], [], [7], [], [10], [10], [10], [6], [10], [8], [10], [10], [5], [5, 5], [6], [7], [8], [6]]
-EndAllocation

Instance: [[1], [368], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [245, 164, 122, 98, 82, 70, 61, 54, 49, 45, 41, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [184, 123, 92, 74, 62, 53, 46, 41, 37, 34, 31, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 5, 8, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8]]
[[4, 8, 8, 8, 8], [8, 8, 8, 8], [7, 7, 7, 7, 8, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [5, 5, 5, 9, 9]]
[[4, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 9], [5, 5, 5, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8], [8, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 6, 6, 6, 6, 6, 6]]
[[4, 8, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10], [5, 5, 5], [10, 10, 10], [9, 9, 9, 9, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 8, 8, 8], [7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10], [10, 10], [10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7], [], [5, 5, 5, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [9, 10, 10], [8, 8, 8, 8, 8], [4], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 5, 9, 10], [8], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9]]
[[4, 8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [5, 5, 5, 10], [7, 7, 7, 7], [], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [8, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [], [9, 9, 9]]
[[4, 8, 8, 10], [6, 6, 6, 6, 6], [5, 5], [9, 9, 9], [7, 7], [10, 10], [6, 9, 9, 9], [5, 10, 10], [9, 9, 9], [7, 7, 8, 10], [8, 8, 10], [8, 10, 10], [8, 8, 10], [8], [8, 8, 8, 8]]
[[4, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [10, 10, 10], [9, 9, 9], [6, 10], [7, 7, 7, 7], [8], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [5, 5, 5], []]
[[4, 8, 8, 8], [10, 10], [5, 5, 5, 9], [9, 9, 9], [8, 8, 8], [], [], [9, 10, 10], [8, 8, 8], [8, 8, 8], [9, 10, 10], [7, 7, 7, 7], [8, 10], [6, 6, 6, 6], [10, 10], [9, 9, 9], [6, 6, 10]]
[[4, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10], [10], [10], [10], [9, 9, 9], [6, 6, 9], [8, 8, 8], [8, 8, 10], [9, 9, 10], [8, 8, 10], [8, 8, 8], [10], [7, 7, 7, 7], [10], [5, 5, 5, 10]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [5, 8, 8], [], [10, 10], [9], [6, 10, 10], [5, 9, 9], [8, 9, 9], [4, 8], [7], [9, 9], [8, 8, 8], [9, 9], [5, 10, 10], [6, 10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [], [10, 10], [8, 8, 8], [4, 6, 7], [6, 6, 6, 6], [5, 10, 10], [5, 9, 9], [5, 10, 10], [8, 8, 9], [], [6, 8, 8], [10, 10], [9, 9]]
[[4, 8, 8], [10, 10], [7, 7, 7], [6, 6, 9], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [10, 10], [8, 8, 8], [7, 8, 8], [5, 5, 5], [], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [10, 10], [], [], [10, 10]]
[[5, 8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [10, 10], [10, 10], [8, 8], [4, 8, 8], [9, 9], [7, 7, 7], [6, 6, 6], [5, 5, 8], [], [8, 8], [9, 9], [10, 10], [8, 8], [7, 9], [9, 9], [8, 8]]
[[4, 8, 8], [6, 6, 6], [8, 8], [8, 10], [10, 10], [9], [7], [10, 10], [6, 6, 6], [10, 10], [9, 9], [8, 8], [8, 8], [10], [7, 7, 7], [8, 8], [], [9, 9], [10, 10], [5, 5, 5], [9, 9], [9, 9], [8, 8]]
[[4, 8, 8], [7, 7, 7], [10, 10], [8, 10], [8, 10], [8, 8], [9, 9], [8, 8], [8, 9], [5, 5, 5], [9, 9], [10, 10], [], [], [], [9, 9], [8, 8], [9, 9], [6, 6, 6], [10, 10], [7], [6, 6, 6], [10, 10], [8, 8]]
[[4, 8, 8], [10, 10], [8, 9], [], [8, 8], [10, 10], [], [9, 9], [9, 9], [9, 9], [8, 8], [10, 10], [6, 6, 6], [8, 8], [], [6, 6, 6], [7, 7], [], [8, 8], [8, 8], [5, 5, 5], [10, 10], [7, 7], [10, 10], [9, 9]]
[[10, 10], [4, 8, 8], [8, 8], [6, 7, 7], [8, 10], [6, 7, 7], [6, 9], [6, 6, 6], [], [], [5, 5, 5], [], [8, 8], [9, 9], [9, 9], [], [8, 8], [8, 8], [10, 10], [], [9, 9], [10], [10, 10], [10, 10], [9, 9], [8, 8]]
[[8, 8], [10], [4, 10], [8, 10], [8, 8], [10], [6, 6, 6], [10], [9, 9], [10], [6, 6, 6], [5, 5, 5], [9, 9], [8, 8], [10], [7, 7], [9], [9, 9], [8, 8], [], [7, 7], [8, 8], [10], [10], [10], [9, 9], [8, 8]]
[[8], [4, 5, 8], [9, 9], [8, 10], [8, 10], [8], [5, 5, 8], [8], [8], [6, 6, 6], [8, 10], [10], [8], [10], [10], [10], [10], [8], [9, 9], [10], [10], [9, 9], [7, 7], [9, 9], [6, 6, 6], [7, 7], [8, 9], [8]]
[[8, 9], [8, 8], [8, 8], [8, 9], [4, 10], [8, 9], [10], [9], [9], [7, 7], [10], [10], [10], [5, 5, 5], [6, 6], [10], [6, 9], [], [7, 7], [8, 8], [6, 9], [6, 9], [9], [10], [10], [10], [8, 8], [6, 10], [8, 8]]
[[4, 8], [6, 9], [8, 8], [6, 10], [10], [10], [9], [10], [8, 9], [9], [6, 9], [7, 7], [8, 8], [10], [10], [10], [9], [6, 10], [], [9], [6, 6], [10], [8, 8], [8, 9], [7, 7], [5, 5, 5], [10], [9], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 9], [7, 8], [10], [10], [10], [9], [6, 9], [8], [9], [10], [6, 6], [8, 8], [9], [10], [5, 9], [10], [10], [10], [9], [7, 8], [6, 9], [9], [10], [10], [7, 7], [5, 5], [6, 6], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [4, 9], [10], [6, 6], [8, 8], [6, 9], [8, 8], [6, 9], [10], [10], [10], [10], [], [9], [7, 7], [9], [5, 5, 5], [], [9], [8, 8], [9], [10], [], [6, 10], [10], [7, 9], [7, 8], [10], [9]]
[[8, 8], [8, 8], [4, 5], [5, 10], [7, 7], [6, 10], [5, 8], [7, 8], [8, 8], [9], [10], [8], [], [9], [10], [10], [10], [8, 8], [], [9], [9], [6, 6], [10], [10], [9], [6, 6], [6, 10], [7, 9], [10], [9], [9], [9], [8, 8]]
[[6, 8], [4, 9], [10], [5, 8], [7, 7], [8], [6, 8], [6, 8], [5, 9], [6, 8], [8], [8], [6, 8], [8], [9], [10], [7, 7], [10], [9], [5, 8], [8], [9], [10], [10], [9], [10], [9], [10], [10], [10], [9], [10], [6, 8], [9]]
[[7, 7], [10], [], [10], [9], [5, 9], [7, 7], [8], [5, 8], [6, 8], [8], [8], [10], [9], [9], [9], [9], [8], [10], [10], [8], [10], [6, 8], [10], [8], [9], [5, 9], [10], [10], [6, 8], [10], [6, 8], [6, 8], [6, 8], [4, 9]]
[[4, 8], [6, 8], [9], [7, 7], [5, 5], [9], [10], [10], [7, 7], [5, 9], [10], [10], [8], [10], [8], [6, 8], [6, 8], [10], [8], [9], [8], [10], [9], [6, 8], [10], [10], [8], [8], [10], [9], [8], [9], [9], [9], [8], [6, 6]]
[[6, 7], [4, 8], [5, 8], [5, 8], [5, 8], [8], [10], [9], [10], [10], [8], [8], [8], [10], [10], [9], [10], [8], [10], [8], [6, 7], [9], [8], [6, 6], [10], [8], [6, 7], [9], [6, 7], [10], [9], [8], [9], [9], [10], [9], [9]]
[[5, 8], [4, 8], [8], [10], [8], [9], [10], [8], [10], [8], [10], [6, 7], [9], [9], [8], [10], [6, 6], [5, 5], [10], [9], [10], [9], [8], [8], [10], [8], [6, 7], [9], [9], [8], [10], [8], [8], [10], [6, 7], [9], [9], [6, 7]]
[[4, 9], [8], [6, 7], [8], [8], [10], [9], [7], [10], [5, 5], [10], [10], [8], [10], [6, 7], [7], [8], [8], [10], [8], [8], [8], [9], [10], [9], [6, 6], [10], [9], [10], [9], [5, 8], [8], [8], [9], [9], [10], [9], [6, 6], [8]]
[[8], [4, 9], [5, 8], [5, 8], [5, 8], [10], [8], [8], [6, 6], [8], [10], [8], [10], [6, 7], [8], [8], [10], [9], [10], [10], [9], [9], [6, 6], [10], [9], [7], [9], [10], [10], [7], [10], [6, 7], [], [9], [], [8], [8], [9], [9], [8]]
[[7], [8], [5, 7], [8], [8], [10], [8], [7], [8], [8], [10], [10], [8], [9], [9], [6, 6], [10], [9], [10], [9], [10], [10], [7], [10], [9], [6, 6], [9], [9], [], [9], [8], [8], [8], [9], [8], [8], [10], [6, 6], [10], [5, 5], [4, 8]]
[[5, 6], [8], [10], [8], [8], [8], [10], [10], [6, 6], [10], [4], [9], [10], [9], [8], [9], [9], [10], [9], [9], [6, 6], [9], [9], [5, 7], [5, 7], [8], [9], [6], [7], [10], [8], [8], [8], [8], [10], [10], [7], [10], [8], [8], [8], []]
[[9], [4, 7], [9], [10], [8], [10], [10], [8], [8], [], [9], [5, 5], [9], [8], [9], [9], [5, 7], [9], [8], [8], [10], [8], [10], [10], [8], [8], [10], [8], [8], [8], [8], [10], [6, 6], [9], [6, 6], [10], [6, 6], [], [], [10], [9], [7], [7]]
[[7], [9], [8], [8], [8], [8], [8], [8], [8], [9], [8], [6, 6], [9], [8], [10], [9], [], [8], [10], [9], [8], [8], [10], [10], [10], [8], [9], [6, 6], [], [9], [10], [], [10], [6, 6], [10], [10], [5, 5], [5, 7], [], [9], [7], [9], [10], [4, 7]]
[[4, 8], [8], [8], [8], [8], [10], [8], [9], [9], [9], [5, 7], [9], [10], [9], [6, 6], [10], [10], [10], [10], [9], [8], [10], [10], [8], [5, 7], [8], [9], [9], [5, 7], [8], [10], [], [], [], [], [6, 6], [], [9], [10], [], [8], [8], [6, 6], [7], [8]]
[[8], [8], [8], [8], [8], [6], [8], [6], [8], [10], [], [5, 5], [7], [9], [10], [8], [9], [9], [8], [10], [9], [8], [6], [9], [6], [6], [10], [7], [8], [], [10], [10], [9], [9], [10], [8], [10], [9], [10], [4, 5], [9], [6], [7], [10], [7], [8]]
-EndAllocation

Instance: [[1], [367], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [245, 164, 122, 98, 82, 70, 61, 54, 49, 45, 41, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [184, 123, 92, 74, 62, 53, 46, 41, 37, 34, 31, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 10], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 8, 8]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [5, 5, 5, 9, 9]]
[[9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 10, 10], [7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 10]]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 10, 10, 10, 10], [9, 9, 9], [], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [5, 6, 6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5, 5], [10], [9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 7], [], [10, 10, 10, 10], [10], [10, 10, 10, 10]]
[[8], [6, 6, 6, 6, 8, 9], [7, 7, 7, 8, 9], [8, 9], [5, 5, 7, 7, 7, 8], [8, 9, 10, 10], [8, 9], [8, 9], [8, 9, 10, 10], [5, 6, 8, 9, 10], [6, 7, 8, 9, 10], [8, 10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 5, 9], [7, 7], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [5, 5, 5, 9], [7, 7, 7, 7, 7], [], [8, 8, 8, 8], [10, 10, 10], [7, 7], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [], [9, 9, 9, 9]]
[[10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 5], [9, 9, 9], [7, 7, 7, 7], [], [9, 9, 9], [10, 10, 10], [9, 9, 9], [7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [6], [8, 8, 8, 8]]
[[8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [10, 10, 10], [6, 7, 7, 7], [], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [5, 5, 5], []]
[[8, 8, 8], [10, 10], [], [9, 9, 9], [9, 9, 9], [10, 10], [7, 7, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7, 7], [5, 5, 5], [6, 6, 6, 6], [10, 10], [9, 9, 9], [6, 6, 10]]
[[8, 8, 8], [6, 6, 10], [9, 9, 9], [10, 10], [], [7, 7, 7], [10, 10], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [], [7, 7, 7, 7], [10, 10], [5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [8, 8, 8], [10, 10], [9, 9], [5, 5, 5, 6], [6, 9, 9], [9, 10], [], [7, 7, 7], [7, 9, 9], [], [9, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [9, 9], [10, 10], [9, 9], [6, 6], [8, 8, 8], [7], [10], [8, 8, 8], [7, 7, 7], [6, 6, 6, 6], [10, 10], [5, 5, 5, 9], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [9, 9]]
[[8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 9], [8, 8, 8], [8, 8, 8], [10, 10], [], [10, 10], [9, 9], [7, 7, 7], [], [7], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [6, 6, 10], [8, 8, 8], [], [10, 10]]
[[8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [8, 8], [10, 10], [8, 8], [7, 7, 7], [9, 9], [7, 7, 7], [6, 6, 6], [5, 5, 5, 7], [], [8, 8], [9, 9], [9, 10], [8, 8], [10, 10], [9, 9], [8, 8]]
[[8, 8], [6, 6, 6], [8, 8], [10, 10], [10], [], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10], [9, 9], [8, 8], [8, 8], [7], [7, 7, 7], [8, 8], [9], [9, 9], [10, 10], [5, 5, 5], [9, 9], [9, 9], [8, 8]]
[[5, 8, 8], [7, 7, 7], [7, 7, 7], [8, 8], [10, 10], [10, 10], [9, 9], [8, 8], [], [5, 5, 8], [9, 9], [10, 10], [], [], [], [7, 9], [8, 8], [9, 9], [6, 6, 6], [10, 10], [9, 9], [6, 6, 6], [8, 10], [8, 8]]
[[8, 8], [10, 10], [], [7, 7], [8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [9, 9], [8, 8], [10, 10], [6, 6, 6], [8, 8], [], [], [7, 7], [5, 5, 5], [10], [8, 8], [6, 6, 6], [10, 10], [7, 7], [7, 9], [9, 9]]
[[10, 10], [8, 8], [], [7, 7], [], [7, 7], [6, 6, 6], [6, 6, 6], [7, 7], [], [5, 5, 5], [], [8, 8], [9, 9], [9, 9], [9, 9], [8, 8], [8, 8], [10, 10], [8, 8], [7, 9], [10, 10], [10], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 10], [], [8, 10], [8, 8], [7, 10], [6, 6, 6], [10], [9, 9], [10], [6, 6, 6], [5, 5, 5], [9, 9], [], [7, 7], [7, 7], [10], [9, 9], [8, 8], [10], [7, 7], [8, 10], [], [9], [8, 10], [9, 9], [8, 8]]
[[10], [8, 8], [9, 9], [10], [9], [], [5, 5, 5], [7, 7], [], [6, 6, 6], [7, 7], [10], [8, 8], [10], [10], [10], [8, 8], [8, 8], [9, 9], [10], [10], [9, 9], [7, 10], [9, 9], [6, 6, 6], [7, 7], [8, 8], [8, 8]]
[[7, 10], [8, 8], [8, 8], [9], [10], [9], [9], [10], [9], [7, 10], [8, 8], [10], [9], [5, 5, 5], [7, 10], [10], [6, 9], [7, 7], [7, 7], [8, 8], [6, 6], [6, 6], [9], [9], [10], [10], [8, 8], [6, 9], [8, 8]]
[[8, 8], [6, 9], [7, 7], [6, 10], [10], [10], [9], [9], [8, 9], [9], [6, 9], [7, 7], [8, 8], [10], [6, 6], [10], [9], [], [], [9], [10], [10], [8, 8], [7, 7], [5, 5, 7], [8, 8], [6, 10], [5, 10], [8, 8], [8, 9]]
[[8, 8], [8, 8], [8, 8], [10], [6, 10], [10], [10], [10], [10], [9], [8, 8], [9], [10], [6, 6], [8, 8], [7, 9], [9], [9], [7, 7], [], [9], [10], [7, 7], [9], [10], [6, 9], [9], [7, 7], [5, 5, 5], [6, 6], [8, 8]]
[[6, 6], [8, 8], [8, 8], [10], [7, 9], [10], [6, 10], [8, 8], [9], [8, 8], [6, 6], [10], [], [10], [], [], [10], [7, 7], [9], [5, 5, 5], [9], [9], [8, 8], [9], [10], [7, 9], [6, 10], [7, 9], [9], [7, 7], [10], [8, 8]]
[[8, 8], [8, 8], [10], [8, 8], [7, 7], [6, 6], [5, 5, 5], [7, 7], [8, 8], [9], [10], [10], [], [7], [10], [10], [10], [8, 8], [], [9], [9], [6, 6], [10], [9], [6, 10], [6, 9], [9], [7, 7], [9], [9], [9], [10], [8, 8]]
[[6, 8], [6, 8], [10], [6, 8], [8], [8], [10], [9], [10], [6, 7], [8], [6, 8], [5, 9], [8], [9], [10], [8], [8], [10], [6, 8], [10], [10], [9], [9], [9], [5, 9], [7, 7], [8], [7, 7], [7, 7], [9], [10], [10], [5, 9]]
[[10], [5, 8], [10], [8], [6, 8], [6, 8], [10], [9], [7, 7], [9], [6, 8], [9], [7, 7], [9], [6, 8], [9], [6, 8], [7, 7], [10], [10], [10], [], [9], [10], [9], [10], [9], [6, 7], [9], [8], [8], [5, 8], [10], [8], [5, 8]]
[[9], [8], [8], [7], [8], [8], [10], [9], [6, 6], [5, 9], [5, 9], [10], [9], [10], [9], [6, 8], [8], [8], [6, 6], [7, 7], [9], [10], [5, 9], [10], [9], [10], [8], [7, 7], [8], [10], [10], [8], [8], [10], [6, 8], [7, 7]]
[[10], [5, 8], [8], [6, 7], [9], [9], [5, 7], [9], [9], [6, 7], [6, 7], [5, 8], [6, 7], [8], [6, 7], [8], [9], [8], [10], [8], [6, 7], [8], [10], [9], [8], [8], [10], [8], [9], [10], [10], [10], [10], [10], [9], [9], [8]]
[[9], [9], [10], [10], [10], [10], [10], [5, 8], [10], [5, 7], [9], [6, 7], [6, 7], [9], [9], [6, 7], [8], [10], [8], [9], [9], [8], [9], [8], [8], [8], [8], [8], [8], [8], [10], [6, 7], [7], [10], [8], [6, 6], [9], [5, 7]]
[[5, 8], [5, 8], [8], [10], [8], [9], [8], [6], [8], [9], [5, 7], [8], [10], [6, 7], [8], [8], [10], [9], [10], [9], [8], [9], [9], [8], [10], [9], [10], [9], [6, 7], [7], [7], [6, 6], [8], [10], [10], [6, 7], [10], [7], [9]]
[[7], [8], [7], [6, 7], [9], [9], [9], [8], [9], [8], [9], [9], [9], [8], [9], [10], [7], [6, 6], [9], [7], [8], [10], [6, 7], [10], [5, 8], [10], [7], [8], [8], [10], [8], [10], [10], [8], [10], [8], [5, 5], [8], [6, 6], [10]]
[[8], [8], [7], [8], [8], [7], [9], [8], [8], [8], [10], [10], [10], [9], [9], [6, 6], [6, 6], [7], [10], [9], [10], [10], [6, 6], [10], [9], [10], [9], [7], [8], [8], [8], [7], [8], [5, 7], [10], [9], [9], [8], [9], [5, 5], [7]]
[[8], [7], [8], [7], [7], [8], [8], [10], [6, 6], [8], [9], [10], [5, 7], [], [6, 6], [10], [9], [7], [9], [8], [9], [10], [10], [9], [9], [10], [6, 6], [10], [7], [8], [8], [5, 5], [10], [8], [8], [9], [9], [8], [8], [10], [9], [7]]
[[10], [5, 7], [8], [8], [8], [9], [8], [8], [8], [9], [8], [10], [9], [10], [8], [], [8], [8], [], [10], [9], [8], [6, 6], [6, 6], [9], [10], [9], [7], [7], [5, 5], [9], [10], [6, 6], [9], [7], [10], [7], [7], [10], [10], [9], [8], [7]]
[[7], [5, 5], [8], [7], [8], [7], [8], [7], [8], [9], [8], [9], [7], [8], [10], [9], [9], [8], [10], [9], [7], [], [10], [10], [10], [8], [9], [6, 6], [8], [9], [10], [5], [6, 6], [], [10], [10], [8], [9], [7], [6, 6], [9], [8], [10], [8]]
[[7], [8], [8], [8], [8], [9], [7], [8], [10], [], [6, 6], [9], [10], [7], [9], [8], [10], [], [8], [], [6, 6], [8], [8], [5, 5], [10], [9], [7], [6, 6], [7], [9], [7], [], [10], [10], [9], [5, 7], [10], [8], [10], [9], [9], [8], [9], [10], [8]]
[[6], [8], [6], [8], [6], [6], [8], [6], [8], [10], [], [8], [7], [9], [10], [8], [9], [9], [8], [10], [9], [8], [7], [9], [6], [9], [7], [7], [8], [10], [10], [10], [9], [5, 5], [10], [8], [7], [9], [10], [10], [9], [8], [7], [5], [7], [8]]
-EndAllocation

Instance: [[1], [366], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [244, 162, 122, 98, 81, 70, 61, 54, 49, 45, 41, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [183, 122, 92, 74, 61, 53, 46, 41, 37, 34, 31, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5, 5, 9, 9, 9], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 10], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 9]]
[[], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8], [5, 5, 5, 5, 5, 9, 9, 9]]
[[5, 5, 5, 9, 9, 9, 9, 9], [9, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 9, 9, 9], [], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 9, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 10, 10, 10], [9, 9, 9, 9], [10], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5, 5, 5, 5], [10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [], [10, 10, 10, 10], [10], [10, 10, 10, 10]]
[[7, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7, 8, 8, 8], [], [5, 5, 5, 5, 5, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9, 10], [8, 8, 8], [8, 8, 8], [10, 10, 10, 10]]
[[5, 8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 5, 5, 9, 9], [], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9]]
[[5, 5, 6, 8, 8], [10, 10, 10], [10, 10, 10], [5, 5, 5, 9, 9], [7, 7, 7, 7, 7], [], [8, 8], [10, 10, 10], [9, 9, 9], [8, 8, 9, 9], [6, 6, 6, 6, 8], [8, 8], [8, 8], [8, 9, 9, 9]]
[[10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5], [9, 9, 9], [7], [], [9, 9, 9], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [9], [8, 8, 8, 8]]
[[8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 9], [9, 9, 9], [7, 7, 7, 7], [], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 5], []]
[[8, 8, 8], [5, 5, 5, 5, 5], [10, 10], [9, 9, 9], [9, 9, 9], [], [7, 9, 10], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 10, 10], [7, 7, 7, 7], [], [6, 6, 6, 6], [10, 10], [9, 9, 9], [10, 10]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7], [10, 10], [9, 9, 9], [6, 9, 10], [8, 8, 8], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [], [7, 7, 7, 7], [10, 10], [5, 5, 5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7], [8, 8, 8], [5, 5, 8], [10, 10], [9, 9], [6, 10], [9, 9], [5, 5, 9], [9, 9], [5, 7, 7, 7], [9, 9], [], [8, 8, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [5, 5, 5, 5, 5], [6, 9], [8, 8, 8], [7, 7], [6, 6, 6, 6], [10, 10], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [9, 10]]
[[8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [10, 10], [6, 9, 9], [10, 10], [8, 8, 8], [5, 7, 7], [9], [], [9, 9], [6, 6, 6, 6], [9, 9], [9, 9], [9, 10], [], [], [10, 10]]
[[5, 8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [9, 9], [10, 10], [8, 8], [6, 8, 8], [9, 9], [7, 7, 7], [6, 8, 8], [5, 5, 5, 5], [10], [8, 8], [9, 9], [10, 10], [8, 8], [], [9, 9], [7, 7]]
[[5, 8, 8], [6, 6], [8, 8], [10, 10], [10], [], [7, 7], [10, 10], [6, 6, 6], [10, 10], [9, 9], [8, 8], [8, 8], [], [7, 7, 7], [8, 8], [9, 9], [9, 9], [10, 10], [5, 5, 5, 5], [9, 9], [9, 9], [8, 8]]
[[5, 6, 8], [6, 7, 7], [8, 8], [8, 10], [10, 10], [10, 10], [9, 9], [8, 8], [], [5, 5, 5, 5], [9, 9], [10, 10], [], [], [], [7, 7, 7], [8, 8], [9, 9], [6, 6, 6], [10, 10], [9, 9], [8, 8], [9, 9], [8, 8]]
[[8, 8], [10, 10], [5, 10], [7, 7], [8, 8], [10, 10], [5, 5, 5, 5], [9, 9], [9, 9], [9, 9], [8, 8], [10, 10], [6, 6, 6], [8, 8], [], [], [7], [], [9, 9], [8, 8], [6, 6], [10, 10], [7, 7], [9, 9], [8, 8]]
[[10, 10], [8, 8], [5], [7, 7], [8, 8], [10], [6, 6, 7], [6, 6, 6], [7, 7], [], [5, 5, 5, 5], [], [8, 8], [9, 9], [9, 9], [], [8, 8], [8, 8], [10, 10], [], [9, 9], [9, 9], [10, 10], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 10], [5, 10], [8, 10], [8, 8], [8, 10], [6, 6, 6], [9, 9], [9, 9], [10], [5, 6, 6], [5, 5, 5], [9, 9], [], [7, 10], [7, 7], [10], [9, 9], [8, 8], [], [7, 7], [8, 10], [], [], [10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [9, 9], [6, 10], [9, 9], [6, 10], [5, 5, 5], [7], [5, 6], [6], [10], [10], [8, 8], [10], [], [10], [], [8, 8], [9, 9], [10], [5, 10], [9, 9], [7, 7], [9, 9], [6, 10], [7, 7], [8, 8], [8, 8]]
[[5, 9], [8, 8], [8], [5, 5, 5], [], [7, 10], [8, 9], [7, 10], [7, 10], [9], [8, 9], [8, 9], [7, 10], [8, 9], [6, 6], [10], [6, 9], [10], [9], [10], [6, 6], [], [9], [], [5, 10], [7, 10], [8, 8], [8, 9], [8, 8]]
[[8, 8], [8, 9], [7, 7], [6, 10], [5, 5, 6], [5, 10], [5], [10], [8, 9], [6, 9], [9], [7], [8, 8], [10], [], [10], [8, 9], [], [9], [6, 9], [6, 10], [10], [8, 9], [9], [7, 7], [5, 10], [9], [10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [9], [10], [], [10], [10], [10], [10], [8, 8], [10], [10], [6, 6], [8, 8], [9], [10], [9], [7, 9], [9], [9], [5, 10], [7, 7], [6, 9], [9], [9], [5, 5, 5], [7, 7], [5, 9], [6, 6], [8, 8]]
[[8, 8], [5, 10], [10], [9], [7, 7], [8, 8], [6, 6], [8, 8], [7, 9], [8, 8], [6, 6], [5, 10], [10], [10], [], [9], [9], [7, 7], [9], [5, 5, 5], [], [6, 10], [8, 8], [9], [10], [9], [9], [10], [9], [9], [10], [8, 8]]
[[6, 8], [6, 10], [7, 9], [7, 9], [6, 10], [6, 8], [], [10], [8, 8], [9], [8, 8], [8, 8], [8, 8], [8, 8], [9], [9], [9], [10], [10], [7, 9], [10], [7, 9], [7, 9], [10], [10], [6, 9], [5], [], [], [5, 10], [], [], [5, 5, 5]]
[[7, 7], [5, 9], [6, 8], [8], [10], [5, 9], [10], [9], [8], [7, 7], [6, 8], [8], [10], [6, 8], [8], [7], [8], [10], [9], [9], [6, 8], [9], [8], [10], [10], [10], [9], [10], [5, 9], [9], [10], [5, 9], [6, 8], [5, 8]]
[[8], [10], [5, 9], [5, 9], [9], [10], [5, 9], [10], [6, 8], [10], [7, 7], [6, 7], [10], [9], [5, 9], [9], [8], [8], [8], [8], [9], [6, 8], [9], [10], [8], [8], [10], [6, 7], [8], [7], [9], [6, 8], [10], [10], [5, 8]]
[[7, 7], [5, 8], [5, 8], [5, 8], [10], [8], [8], [6, 7], [6, 6], [8], [7, 7], [10], [8], [10], [10], [9], [6, 8], [10], [8], [9], [10], [9], [10], [9], [9], [9], [], [9], [6, 8], [9], [8], [9], [10], [10], [5, 9], [5, 8]]
[[10], [9], [8], [5, 7], [9], [10], [7], [8], [10], [5, 8], [9], [6, 7], [5, 8], [8], [9], [10], [8], [8], [9], [6, 7], [10], [6, 6], [9], [5, 8], [9], [8], [5, 8], [8], [8], [9], [10], [9], [9], [10], [10], [10], [6, 7]]
[[9], [10], [9], [], [5, 8], [9], [5, 8], [10], [10], [10], [8], [5, 8], [7], [9], [9], [8], [5, 8], [8], [9], [10], [8], [6, 7], [8], [8], [8], [9], [5, 6], [9], [6, 7], [10], [10], [10], [6, 7], [10], [8], [6, 7], [9], [9]]
[[9], [9], [6, 7], [9], [9], [5, 7], [5, 8], [10], [10], [5, 5], [10], [8], [6, 6], [7], [8], [10], [10], [9], [7], [8], [10], [8], [6, 6], [9], [5, 8], [10], [10], [10], [9], [8], [8], [7], [8], [9], [8], [8], [8], [9], [9]]
[[5, 7], [5, 8], [9], [10], [6, 7], [9], [9], [5, 5], [5, 8], [8], [10], [9], [10], [10], [9], [8], [10], [6, 6], [8], [9], [10], [9], [8], [8], [8], [10], [7], [8], [7], [9], [8], [9], [10], [7], [8], [], [9], [10], [6, 6], [8]]
[[8], [8], [8], [8], [5, 7], [8], [9], [8], [8], [9], [10], [10], [6], [9], [9], [6, 6], [6, 6], [7], [10], [9], [10], [9], [7], [10], [8], [5, 5], [7], [9], [10], [9], [8], [9], [8], [7], [10], [9], [10], [10], [8], [5, 5], [8]]
[[8], [8], [8], [8], [8], [6], [8], [8], [6, 6], [8], [9], [10], [5, 7], [], [6, 6], [10], [9], [7], [9], [7], [9], [10], [10], [9], [9], [10], [9], [10], [10], [9], [], [5, 5], [10], [8], [8], [8], [9], [5, 7], [8], [10], [9], [5, 7]]
[[5], [8], [7], [8], [8], [9], [10], [8], [8], [9], [8], [10], [9], [10], [8], [8], [7], [5, 5], [10], [10], [9], [], [6, 6], [7], [9], [9], [9], [9], [7], [5, 5], [8], [9], [6, 6], [10], [7], [10], [10], [6], [8], [10], [9], [8], [8]]
[[5, 5], [8], [8], [8], [8], [8], [5], [8], [8], [9], [8], [6, 6], [9], [7], [10], [9], [], [8], [10], [9], [5, 5], [6], [10], [10], [10], [7], [9], [6, 6], [], [9], [10], [8], [8], [10], [7], [10], [8], [9], [10], [9], [9], [9], [7], [7]]
[[8], [8], [7], [8], [8], [9], [7], [8], [], [5, 5], [6, 6], [9], [10], [6, 6], [9], [8], [10], [], [8], [8], [6], [8], [8], [], [10], [9], [8], [10], [7], [9], [7], [9], [10], [10], [9], [5, 5], [10], [10], [10], [9], [9], [8], [9], [7], [5]]
[[10], [8], [10], [10], [9], [9], [6], [9], [5, 5], [5], [8], [6], [8], [8], [9], [10], [8], [6], [8], [9], [9], [10], [10], [10], [7], [7], [5, 5], [7], [7], [7], [10], [8], [8], [8], [10], [], [9], [6], [9], [8], [9], [6], [], [9], [8], [8]]
-EndAllocation

Instance: [[1], [365], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [244, 162, 122, 97, 81, 70, 61, 54, 49, 45, 41, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [183, 122, 92, 73, 61, 53, 46, 41, 37, 34, 31, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 6], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 8, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7]]
[[10], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10], [5, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [5, 9, 9]]
[[9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [5, 5, 9, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [9, 9, 9], [5, 5], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10], [5, 5], [10, 10], [9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10], [10, 10], [10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 8, 8], [5, 5], [7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [9, 10, 10], [8, 8, 8, 8, 8], [], [10, 10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 9], [7, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [7], [10, 10, 10], [7, 7, 7, 7, 7], [], [8, 8, 8, 8], [10, 10, 10], [5, 5, 9, 10], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [], [9, 9, 9, 9]]
[[10, 10, 10], [6, 6, 6, 6, 6], [5, 5], [9, 9, 9], [7, 7, 7, 7], [], [6, 9, 9, 9], [10, 10, 10], [9, 9, 9], [7, 7, 10], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [], [8, 8, 8, 8]]
[[8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8], [9, 9, 9], [10, 10, 10], [6, 7, 7, 10], [9, 9, 9], [7, 7, 7, 7], [5, 5], [], [9, 9, 9], [8, 8, 8], [10, 10, 10], [8, 8, 8], []]
[[8, 8, 8], [10, 10], [10], [9, 9, 9], [9, 9, 9], [10, 10], [5, 5, 7, 7], [8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7, 7], [], [6, 6, 6, 6], [10, 10], [9, 9, 9], [6, 6, 10]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7, 7], [8, 10, 10], [9, 9, 9], [10, 10], [6, 6, 8, 8], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [], [7, 7, 7, 7], [10, 10], [5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [5, 5, 8, 8], [10, 10], [9, 9], [6, 6], [9, 9], [9, 9], [10, 10], [7, 7, 7], [9], [], [8, 9, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [6, 6, 10], [8, 8, 8], [7, 7, 7], [6, 6, 6, 6], [10, 10], [9, 9], [10, 10], [9], [], [8, 8, 8], [5, 5, 10], [9, 9]]
[[8, 8, 8], [10, 10], [7, 7, 7], [5, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [10, 10], [9], [7, 7, 7], [], [], [9, 9], [6, 6, 6, 6], [9, 9], [5, 9, 9], [6, 6], [8, 8, 8], [], [10, 10]]
[[8, 8], [10, 10], [9], [9, 9], [10, 10], [6, 6, 6], [9, 9], [10, 10], [6, 8, 8], [6, 8, 8], [9, 9], [7, 7, 7], [6, 8, 8], [5, 5], [], [8, 8], [9, 9], [10, 10], [8, 8], [], [10, 10], [7, 7, 7]]
[[8, 8], [9, 9], [8, 8], [5, 5], [10, 10], [10, 10], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10], [9], [8, 8], [8, 8], [], [7, 7, 7], [6, 6, 6], [], [9, 9], [10, 10], [8, 8], [9, 9], [9, 9], [8, 8]]
[[8, 8], [7, 7, 7], [5, 8, 8], [10, 10], [10, 10], [], [9, 9], [5, 8, 8], [], [8, 8], [9], [10, 10], [], [6, 6, 6], [], [9, 9], [8, 8], [9, 9], [6, 6, 6], [10, 10], [7, 7, 7], [10, 10], [9, 9], [8, 8]]
[[8, 8], [10, 10], [], [7, 7], [8, 8], [10, 10], [], [9, 9], [9], [9, 9], [8, 8], [10, 10], [6, 6, 6], [8, 8], [6, 6, 6], [], [7, 7], [10, 10], [8, 8], [8, 8], [5, 5], [10, 10], [7, 7], [9, 9], [9, 9]]
[[10, 10], [8, 8], [], [7, 7], [], [7, 7], [6, 6, 6], [6, 6, 6], [7, 7], [], [5, 5, 9], [], [8, 8], [9, 9], [9, 9], [], [8, 8], [8, 8], [10, 10], [8, 8], [9, 9], [10, 10], [10, 10], [10, 10], [9, 9], [8, 8]]
[[5, 5], [10], [], [8, 10], [8, 8], [8, 10], [6, 6, 6], [10], [9, 9], [10], [6, 6, 6], [8, 8], [9, 9], [8, 8], [7, 10], [7, 7], [9], [9, 9], [8, 8], [], [7, 10], [8, 10], [], [8, 10], [10], [9, 9], [7, 7]]
[[8, 9], [8, 8], [], [6, 10], [9, 9], [], [5, 5], [7, 7], [], [6, 6, 6], [10], [10], [8, 8], [6, 10], [10], [10], [10], [8, 8], [9, 9], [10], [8, 10], [9, 9], [7, 7], [9, 9], [6, 10], [7, 7], [8, 8], [8, 8]]
[[6, 9], [8, 8], [8, 8], [9], [9], [8, 9], [10], [9], [9], [7, 7], [8, 8], [10], [10], [5, 5], [6, 10], [10], [6, 6], [7, 7], [7, 7], [8, 8], [6, 10], [6, 9], [9], [10], [10], [10], [10], [8, 9], [8, 8]]
[[8, 8], [6, 6], [7, 7], [6, 10], [7, 10], [9], [10], [9], [8, 9], [8, 9], [6, 9], [7, 7], [8, 8], [10], [6, 6], [5, 10], [9], [], [], [9], [10], [5, 10], [8, 8], [9], [7, 10], [10], [10], [9], [8, 8], [8, 8]]
[[10], [8, 8], [8, 8], [8, 8], [10], [10], [9], [10], [10], [9], [8, 8], [9], [5, 10], [6, 6], [8, 8], [], [9], [5, 9], [7, 7], [10], [9], [10], [7, 7], [6, 9], [10], [9], [10], [7, 7], [6, 9], [6, 6], [8, 8]]
[[8, 8], [8, 8], [10], [9], [9], [10], [6, 6], [8, 8], [6, 9], [8, 8], [6, 6], [10], [], [10], [10], [6, 10], [9], [7, 7], [10], [5, 5], [9], [9], [8, 8], [9], [10], [10], [9], [7, 7], [9], [7, 7], [10], [8, 8]]
[[9], [8, 8], [6, 10], [8, 8], [7, 7], [6, 6], [], [7, 7], [8, 8], [9], [10], [9], [], [], [5, 9], [10], [10], [8, 8], [], [10], [10], [6, 10], [10], [10], [10], [6, 9], [5, 9], [7, 7], [9], [6, 9], [8, 8], [9], [8, 8]]
[[5, 9], [9], [6, 8], [10], [9], [8], [5, 9], [9], [9], [6, 8], [10], [8], [7, 7], [8], [9], [6, 8], [10], [10], [9], [10], [10], [7, 7], [9], [8], [10], [8], [7, 7], [10], [6, 8], [8], [10], [6, 8], [6, 8], [10]]
[[10], [10], [10], [10], [8], [8], [7, 7], [10], [8], [5, 8], [10], [10], [5, 9], [6, 6], [8], [7, 7], [8], [10], [8], [9], [6, 8], [7, 7], [9], [9], [9], [9], [10], [8], [6, 8], [10], [9], [9], [6, 8], [9], [6, 8]]
[[6, 8], [8], [8], [8], [9], [5, 9], [8], [8], [6, 6], [9], [10], [10], [9], [10], [9], [8], [8], [10], [8], [7, 7], [9], [10], [10], [10], [9], [8], [10], [7, 7], [7, 7], [8], [5, 9], [10], [9], [6, 6], [6, 8], [10]]
[[6, 7], [6, 7], [9], [8], [6, 7], [10], [10], [8], [9], [6, 7], [9], [9], [8], [10], [9], [10], [10], [10], [5, 8], [8], [8], [8], [8], [6, 7], [5, 8], [10], [8], [9], [9], [9], [8], [10], [8], [6, 7], [9], [10], [10]]
[[10], [6, 6], [9], [8], [8], [8], [6, 7], [9], [10], [10], [10], [8], [6, 7], [8], [5, 8], [8], [10], [8], [9], [10], [8], [7], [10], [10], [9], [5, 8], [8], [9], [9], [8], [10], [6, 7], [7], [10], [9], [6, 7], [9], [9]]
[[9], [10], [5, 8], [8], [9], [7], [7], [10], [10], [5, 7], [8], [8], [10], [10], [8], [10], [8], [6, 6], [10], [7], [8], [9], [6, 6], [9], [9], [10], [8], [10], [10], [9], [9], [8], [8], [8], [9], [9], [6, 7], [6, 7], [8]]
[[7], [5, 8], [8], [9], [7], [8], [8], [9], [9], [9], [9], [7], [9], [8], [], [10], [8], [6, 6], [6, 6], [10], [8], [10], [10], [10], [5, 7], [10], [6, 7], [8], [8], [10], [8], [10], [8], [10], [9], [6, 7], [8], [9], [9], [10]]
[[7], [8], [7], [8], [8], [9], [9], [8], [8], [6, 6], [10], [10], [6, 6], [9], [5, 5], [6, 6], [10], [7], [10], [10], [10], [8], [10], [10], [7], [10], [9], [9], [7], [9], [8], [8], [8], [8], [10], [9], [9], [9], [8], [7], [8]]
[[8], [7], [7], [7], [7], [8], [8], [8], [6, 6], [8], [], [10], [8], [9], [6, 6], [10], [9], [7], [9], [8], [9], [10], [10], [9], [9], [7], [6, 6], [10], [10], [8], [8], [5, 5], [10], [8], [10], [9], [9], [10], [8], [10], [9], [8]]
[[8], [8], [8], [7], [8], [10], [8], [8], [8], [9], [], [10], [9], [7], [8], [], [7], [8], [10], [10], [9], [7], [6, 6], [6, 6], [9], [10], [9], [7], [9], [5, 5], [8], [10], [6, 6], [9], [7], [10], [9], [10], [10], [8], [9], [8], [10]]
[[8], [7], [8], [7], [8], [], [8], [7], [8], [8], [8], [6, 6], [9], [7], [10], [9], [], [8], [10], [9], [8], [6, 6], [10], [10], [10], [8], [9], [6, 6], [], [9], [10], [7], [10], [10], [7], [10], [5, 5], [9], [10], [9], [9], [9], [8], [8]]
[[7], [8], [5, 7], [8], [8], [7], [8], [10], [], [], [6, 6], [9], [10], [6, 6], [9], [8], [10], [8], [6, 6], [], [8], [8], [8], [], [10], [9], [7], [10], [8], [9], [], [7], [10], [10], [9], [5, 7], [10], [10], [10], [9], [9], [8], [9], [9], [8]]
[[8], [8], [8], [8], [7], [6], [6], [6], [8], [10], [10], [], [7], [8], [10], [8], [9], [9], [8], [10], [9], [8], [6], [9], [6], [], [6], [7], [8], [10], [10], [10], [9], [9], [9], [8], [10], [9], [10], [5, 5], [9], [7], [7], [10], [7], [8]]
-EndAllocation

Instance: [[1], [364], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [242, 162, 121, 97, 81, 69, 61, 54, 49, 45, 41, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [182, 122, 91, 73, 61, 52, 46, 41, 37, 34, 31, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [7, 7, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8]]
[[5, 8], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 9], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5]]
[[8, 8, 8, 8, 8, 8], [7, 9], [10, 10, 10, 10, 10], [], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 6, 6, 6, 6]]
[[5, 5, 5, 5, 5, 10, 10], [], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 9, 9], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [7, 10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 7, 7], [], [10, 10, 10, 10], [10, 10], [10, 10, 10, 10]]
[[5, 6, 8, 8], [8, 8], [8, 8], [7, 7, 7, 7, 7], [7, 7, 7, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9], [5, 5, 5, 5, 8, 10], [6, 6, 6, 10, 10], [8, 8], [8, 10, 10, 10]]
[[5, 8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [7, 7, 7, 10], [5, 5, 5, 9, 9], [6, 6, 6, 6], [5, 8, 8, 8, 8], [10, 10, 10], [9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8, 8], [], [5, 5, 5, 5, 5, 9]]
[[9, 10, 10], [6, 6, 6, 6], [], [9, 9, 9], [7, 7, 7, 7], [10], [5, 5, 5, 5, 5], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [10], [8, 8, 8, 8]]
[[8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [9, 10], [6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5, 5, 5], [9, 9, 9], [], [], [8, 8, 8], [10, 10, 10]]
[[5, 8, 8, 8], [10, 10], [], [9, 9, 9], [8, 8, 8], [], [7, 7, 7, 7], [5, 5, 5, 10], [5, 8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [10], [7, 7, 7, 7], [6, 6, 6, 6], [9, 9, 9], [9, 10, 10]]
[[8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7, 7, 7, 7], [10, 10], [9], [10, 10], [8, 8, 8], [10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [], [7, 7, 7, 7], [10, 10], [5, 5, 5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [10, 10], [7, 9], [9, 9], [], [7, 7, 7], [7, 9, 9], [], [9, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [7, 9, 9], [10, 10], [], [], [8, 8, 8], [], [10, 10], [5, 7, 10], [7, 7, 9], [8, 8, 8], [5, 5, 5, 10], [9, 9], [10, 10], [7, 9, 9], [], [6, 6, 6, 6], [5, 10, 10], [8, 8, 8]]
[[8, 10], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 8], [5, 10], [9, 9], [7, 7, 7], [6, 6, 6, 6], [], [9], [8, 8, 8], [9, 9], [9, 9], [10, 10], [], [8], [10, 10]]
[[6, 8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [10, 10], [10, 10], [5, 8, 8], [7, 7, 8], [9, 9], [7, 7, 7], [8, 8], [5, 5, 5, 5], [], [8, 8], [8, 9], [10, 10], [8, 8], [], [9, 9], [7, 7, 7]]
[[5, 8, 8], [6, 6, 6], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8], [7, 7], [10, 10], [6], [10, 10], [8, 8], [9, 9], [8, 8], [], [9, 9], [7, 7, 7], [], [8, 8], [9], [9, 9], [10, 10], [10, 10], [8, 8]]
[[5, 8, 8], [10, 10], [6, 7, 7], [8, 8], [10, 10], [8, 8], [6, 6, 6], [8, 8], [], [5, 5, 5, 5], [9, 9], [10, 10], [], [], [9, 9], [9, 9], [10, 10], [9], [7, 7, 7], [], [8, 8], [7, 7, 7], [10, 10], [8, 8]]
[[8, 8], [8, 8], [5], [6, 6, 6], [8, 8], [10, 10], [10, 10], [9], [8, 8], [10, 10], [7, 7], [8, 8], [10, 10], [7, 7], [9, 9], [], [9, 9], [10, 10], [6], [8, 8], [5, 5, 5, 5], [7, 7], [7, 7], [], [9, 9]]
[[8, 10], [8, 8], [5, 5], [10], [7, 7], [5, 5, 5], [6, 10], [7, 10], [7], [10], [8, 8], [8, 8], [6, 6, 6], [8, 8], [9, 9], [10], [7, 10], [7, 10], [9], [7, 7], [8, 10], [], [10], [9, 9], [9, 9], [8, 8]]
[[8, 8], [6, 10], [9], [10], [8, 8], [7, 7], [6, 6, 6], [10], [], [10], [10], [7, 7], [8, 8], [9, 9], [10], [7, 7], [8, 10], [8, 8], [7, 7], [9, 9], [10], [10], [5, 5], [8, 10], [5, 5, 5], [9, 9], [8, 8]]
[[8, 8], [8, 8], [5, 7], [7, 9], [7, 10], [10], [10], [7, 7], [10], [6], [7, 9], [10], [10], [5, 5, 5], [7, 10], [10], [9], [8, 8], [6, 6], [10], [9], [8, 8], [6, 9], [5, 9], [9], [7, 10], [8, 8], [8, 8]]
[[7, 9], [8, 8], [8, 8], [5, 10], [8, 8], [5, 9], [], [6, 9], [10], [8, 8], [10], [9], [8, 8], [], [6, 6], [7, 10], [5, 5, 5], [7, 10], [7, 10], [7, 7], [9], [9], [10], [9], [6, 10], [10], [7, 7], [10], [8, 8]]
[[8, 8], [8, 9], [7, 7], [6, 10], [10], [10], [], [9], [9], [9], [6, 9], [7, 7], [8, 8], [10], [], [7, 10], [5, 5], [9], [6, 6], [8, 8], [10], [10], [8, 9], [7, 10], [7, 7], [5, 5, 5], [10], [10], [8, 8], [8, 8]]
[[5, 10], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [6, 10], [10], [10], [9], [7, 7], [7, 7], [10], [7, 7], [7, 7], [9], [10], [8, 8], [8], [10], [10], [9], [10], [9], [], [9], [9], [5, 10], [5, 5, 5], [6, 6], [9]]
[[7, 7], [5, 5], [5, 10], [10], [7, 9], [], [6, 8], [8, 8], [6, 9], [8], [7, 7], [9], [], [10], [9], [10], [7, 9], [8, 8], [10], [6, 10], [10], [10], [5, 9], [], [], [10], [5, 10], [6, 9], [8, 8], [8, 8], [7, 7], [8, 8]]
[[8, 8], [8, 8], [9], [10], [8, 8], [7, 7], [6, 10], [8, 8], [10], [9], [], [], [5, 5, 5], [7, 7], [10], [10], [9], [8, 8], [], [9], [10], [6, 6], [10], [9], [9], [7, 7], [6, 10], [7], [10], [7, 9], [10], [8, 8], [5, 5]]
[[7, 7], [6, 8], [7, 7], [5, 8], [7, 7], [5, 9], [6, 8], [10], [10], [10], [10], [6, 8], [8], [10], [10], [5, 9], [8], [8], [9], [7, 7], [9], [10], [10], [10], [9], [8], [9], [9], [8], [8], [10], [8], [6, 8], [5, 5]]
[[9], [5, 8], [7, 7], [5, 7], [7], [10], [8], [10], [10], [10], [10], [7, 7], [5, 8], [6, 6], [8], [10], [6, 8], [10], [10], [9], [9], [6, 8], [9], [8], [10], [8], [8], [7, 7], [9], [9], [10], [8], [9], [5, 8], [5, 8]]
[[5, 8], [6, 8], [6, 8], [6, 8], [5, 8], [7], [9], [10], [9], [8], [10], [9], [8], [10], [8], [7], [9], [10], [8], [5, 5], [10], [10], [7], [9], [10], [10], [10], [7, 7], [10], [9], [7, 7], [7], [6, 8], [5, 8], [9], [8]]
[[5, 8], [9], [5, 7], [6, 7], [5, 8], [6, 7], [8], [5, 7], [10], [8], [9], [6, 7], [10], [8], [10], [10], [10], [8], [6, 7], [10], [8], [10], [8], [9], [9], [7], [9], [10], [10], [10], [8], [9], [9], [8], [5, 8], [7], [8]]
[[9], [9], [5, 8], [9], [8], [6, 7], [5, 8], [9], [10], [5, 8], [8], [5, 8], [5, 7], [9], [7], [8], [9], [8], [10], [8], [8], [10], [8], [6, 7], [10], [10], [10], [10], [7], [10], [9], [7], [7], [8], [7], [6, 6], [10], [10]]
[[6, 6], [5, 8], [5, 8], [10], [5, 8], [10], [10], [9], [8], [7], [7], [10], [10], [10], [8], [9], [7], [8], [10], [8], [8], [8], [9], [10], [9], [7], [10], [10], [7], [7], [5, 7], [7], [8], [9], [6, 6], [9], [9], [8], [5, 8]]
[[5, 7], [5, 8], [9], [9], [9], [8], [10], [8], [10], [10], [10], [10], [10], [8], [10], [8], [9], [7], [9], [10], [10], [7], [6, 7], [7], [8], [], [10], [8], [9], [8], [8], [5, 5], [8], [5, 7], [8], [9], [8], [7], [6, 6], [6, 7]]
[[8], [5, 7], [8], [7], [8], [10], [8], [6, 6], [7], [7], [7], [10], [7], [8], [9], [8], [8], [8], [10], [10], [10], [10], [5, 5], [10], [8], [10], [6, 6], [9], [8], [9], [8], [9], [8], [7], [10], [9], [9], [9], [10], [5, 5], [7]]
[[7], [8], [8], [8], [8], [6, 6], [7], [10], [10], [5, 7], [10], [9], [7], [9], [10], [9], [8], [7], [8], [10], [8], [7], [9], [8], [10], [6, 6], [10], [8], [10], [], [8], [5, 5], [10], [5, 5], [7], [8], [9], [9], [7], [10], [9], [8]]
[[5, 7], [5], [8], [7], [8], [8], [8], [8], [7], [8], [], [9], [10], [5, 5], [8], [], [8], [8], [9], [10], [10], [10], [5, 7], [10], [9], [6, 6], [7], [6, 6], [7], [9], [8], [10], [9], [8], [10], [10], [9], [7], [10], [10], [9], [7], [8]]
[[5, 7], [8], [8], [8], [5, 5], [7], [7], [7], [8], [7], [8], [8], [10], [9], [9], [9], [7], [10], [9], [9], [6, 6], [8], [], [10], [10], [6, 6], [8], [10], [10], [8], [8], [7], [10], [10], [10], [], [5, 5], [9], [8], [8], [9], [], [10], [7]]
[[8], [8], [8], [8], [10], [8], [8], [8], [10], [10], [10], [10], [10], [10], [8], [8], [5, 7], [5, 5], [10], [6, 6], [7], [9], [9], [7], [7], [10], [9], [], [9], [5, 5], [10], [], [], [], [7], [8], [7], [8], [9], [9], [6, 6], [9], [7], [7], [8]]
[[8], [5], [8], [8], [8], [7], [8], [6], [10], [10], [8], [], [7], [9], [10], [7], [9], [9], [8], [10], [5, 5], [8], [10], [9], [6], [6], [7], [7], [8], [], [7], [10], [10], [8], [10], [8], [7], [9], [10], [5, 5], [9], [9], [6], [10], [7], [8]]
-EndAllocation

Instance: [[1], [363], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [242, 161, 121, 97, 81, 69, 61, 54, 49, 44, 41, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [182, 121, 91, 73, 61, 52, 46, 41, 37, 33, 31, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6], [5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 10]]
[[4, 8, 8, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 9], [10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7]]
[[4, 8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [4], [9, 9, 9, 9, 9, 9], [6, 6, 6, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [6, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8], [9, 10, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 7]]
[[7, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9], [6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [10, 10], [4, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 5, 5, 7, 7], [10, 10, 10, 10], [10, 10], [10, 10, 10, 10]]
[[6, 8, 8, 8, 8], [], [7, 7, 7, 7, 7], [5, 5, 5, 5], [7, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [7, 9, 9, 9], [10, 10, 10, 10], [7, 8, 8, 8, 8], [4], [6, 6, 6, 10, 10]]
[[4, 8, 8, 8, 8], [6, 10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 7, 7, 7], [5, 5, 5, 5], [6, 10], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9]]
[[4, 8, 8, 9], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7], [10], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8, 9], [6, 6, 6, 6], [8, 8, 8, 9], [], [5, 5, 5, 5, 9]]
[[4, 7, 7, 7, 7], [6, 6, 6, 6], [10], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [9, 9, 9], [5, 5, 5, 5, 9], [8, 8, 8, 8], [10, 10, 10], [], [], [8, 8, 8, 8]]
[[4, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [9], [6, 6, 6, 6], [9, 9, 9], [10], [7, 7, 7, 7], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [], [5, 5, 5, 5], [8, 8, 8], [10, 10, 10]]
[[4, 8, 8, 8], [9, 10, 10], [], [9, 9, 9], [8, 8, 8], [10, 10], [7, 7, 7, 7], [5, 5, 5, 5], [10, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [10, 10]]
[[4, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7, 7, 7, 7], [10, 10], [9, 9, 9], [9, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [10], [], [10, 10], [5, 5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [5, 5, 5, 8], [10, 10], [], [10, 10], [7, 9, 9], [8, 9, 9], [4, 5], [7, 7, 7], [7, 9, 9], [], [8, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [5, 9, 9], [10, 10], [], [], [8, 8, 8], [7, 7, 7], [10, 10], [4, 9], [7, 7, 10], [8, 8, 8], [10, 10], [5, 9, 9], [5, 10], [5, 9, 9], [], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [10, 10], [], [10, 10], [4, 9, 9], [7, 7, 7], [6, 6, 6, 6], [], [7, 7, 9], [8, 8, 8], [9, 9], [9, 9], [10, 10], [], [], [10, 10]]
[[5, 8, 8], [10, 10], [6, 6, 10], [9, 9], [10, 10], [10], [10, 10], [10, 10], [8, 8], [6, 7, 7], [4, 9, 9], [7, 7, 8], [5, 8, 8], [5, 5, 8], [], [8, 8], [9, 9], [6, 7], [8, 8], [], [9], [7, 7, 7]]
[[4, 8, 8], [6, 6, 6], [10], [8, 10], [10], [8, 10], [7, 7, 7], [9, 10], [8, 8], [10], [10], [9, 9], [8, 8], [6, 7, 7], [7, 7, 7], [8, 8], [10], [9, 9], [10], [5, 5, 5], [10], [9, 9], [5, 8, 8]]
[[8, 8], [4], [6, 6, 6], [5, 5, 5, 5], [10, 10], [10, 10], [8, 8], [7, 7], [9, 9], [], [8, 8], [10, 10], [], [], [9, 9], [8, 8], [9, 9], [10, 10], [7, 7, 7], [6, 9], [8, 8], [7, 7, 7], [10, 10], [8, 8]]
[[4, 8, 8], [10, 10], [6], [6, 6, 6], [8, 8], [10, 10], [], [9], [8, 8], [10, 10], [7, 7], [8, 8], [10, 10], [7, 7], [9, 9], [], [9, 9], [], [8, 8], [8, 8], [5, 5, 5, 5], [7, 7], [7, 7], [10, 10], [9, 9]]
[[8, 8], [8, 8], [4], [7, 10], [9], [7, 7], [7, 10], [8, 10], [], [10], [7, 7], [8, 8], [6, 6, 6], [7, 7], [8, 10], [10], [6, 10], [9, 9], [8, 8], [5, 10], [5, 5, 5], [10], [10], [9, 9], [8, 8], [9, 9]]
[[8, 8], [5, 8], [8, 10], [8, 10], [8, 8], [5, 5, 5], [9], [], [9, 9], [7, 10], [7, 10], [10], [6, 10], [7, 7], [], [9, 9], [6, 6, 6], [7, 7], [], [8, 8], [10], [8, 10], [4, 10], [7, 7], [10], [9, 9], [8, 8]]
[[4, 10], [8, 8], [8, 8], [8, 9], [7, 7], [5, 10], [9], [8, 8], [10], [8, 9], [9], [10], [6, 6], [10], [7, 10], [10], [9], [6, 6], [7, 7], [9], [10], [9], [5, 5, 5], [7, 7], [10], [7, 10], [8, 8], [8, 8]]
[[8, 9], [8, 8], [4, 5], [7, 10], [8, 8], [9], [9], [9], [10], [7, 7], [10], [8, 8], [6, 6], [8, 8], [9], [7, 9], [6, 6], [], [7, 7], [5, 5, 5], [7, 10], [10], [10], [8, 9], [7, 10], [10], [10], [10], [8, 8]]
[[8, 8], [4, 9], [6, 6], [7, 7], [5, 10], [6, 9], [10], [5, 5, 5], [9], [10], [7, 7], [8, 8], [10], [], [7, 7], [9], [9], [6, 10], [8, 8], [9], [10], [10], [8, 8], [10], [7, 7], [9], [10], [10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [4, 9], [9], [9], [8, 8], [10], [8, 8], [5, 9], [10], [7, 7], [5, 5, 5], [10], [10], [9], [7, 7], [9], [10], [7, 7], [10], [7, 7], [9], [8, 8], [6, 6], [], [10], [10], [6, 6], [10], [10], [8, 8]]
[[8, 8], [8, 8], [6, 9], [10], [7, 7], [10], [6, 6], [8, 8], [6, 9], [10], [7, 7], [9], [8, 8], [10], [10], [5], [9], [7, 7], [10], [5, 5, 5], [10], [9], [8, 8], [9], [], [], [10], [9], [7, 7], [8, 8], [10], [4, 10]]
[[8], [10], [10], [7, 7], [4, 10], [5, 8], [5, 8], [9], [6, 8], [5, 8], [10], [9], [6, 8], [7, 7], [8], [10], [9], [5, 9], [9], [10], [6, 8], [9], [7, 7], [10], [10], [10], [8], [8], [6, 8], [10], [8], [9], [7, 7]]
[[4, 10], [5, 8], [6, 8], [8], [8], [10], [10], [7, 7], [9], [8], [8], [10], [5, 9], [9], [7, 7], [10], [10], [10], [10], [10], [7, 7], [9], [8], [5, 8], [8], [5, 8], [7, 7], [10], [9], [6, 6], [9], [9], [6, 8], [8]]
[[4, 8], [6, 8], [7, 7], [5, 8], [6, 8], [10], [10], [9], [7, 7], [10], [7, 7], [10], [10], [8], [6, 8], [9], [8], [9], [10], [10], [6, 8], [10], [7], [8], [8], [9], [9], [10], [9], [7], [9], [8], [10], [5, 5], [5, 8]]
[[4, 8], [9], [7, 7], [6, 8], [5, 5], [6, 8], [9], [10], [10], [9], [10], [10], [5, 8], [8], [], [6, 6], [8], [8], [10], [7, 7], [9], [10], [10], [8], [7, 7], [9], [8], [7, 7], [8], [10], [10], [10], [9], [5, 9], [8], [8]]
[[6, 7], [5, 7], [5, 8], [5, 8], [4, 8], [10], [7], [9], [9], [8], [9], [9], [8], [10], [7], [8], [8], [10], [9], [9], [10], [9], [6, 7], [10], [10], [8], [7], [10], [10], [10], [6, 7], [6, 7], [10], [8], [8], [8], [5, 8]]
[[7], [4, 7], [5, 8], [5, 8], [5, 8], [8], [7], [10], [6, 7], [8], [9], [6, 7], [5, 8], [8], [10], [10], [8], [10], [8], [9], [10], [9], [6, 7], [8], [10], [9], [10], [8], [6, 7], [10], [10], [9], [10], [9], [8], [9], [], [7]]
[[10], [4, 9], [5, 5], [7], [9], [5, 8], [10], [8], [6, 7], [6, 7], [8], [9], [7], [7], [9], [9], [8], [10], [10], [10], [9], [8], [8], [8], [6, 6], [10], [10], [8], [9], [8], [10], [7], [10], [8], [7], [10], [8], [5, 8], [7]]
[[10], [8], [4, 9], [5, 7], [5, 7], [6, 7], [6, 7], [5, 8], [9], [9], [10], [10], [10], [8], [9], [5, 8], [9], [8], [10], [10], [9], [8], [7], [8], [10], [], [7], [10], [8], [7], [10], [8], [10], [8], [], [7], [8], [6, 6], [8], [9]]
[[4, 7], [8], [8], [8], [10], [10], [5, 7], [5, 7], [10], [7], [6, 6], [9], [], [8], [7], [8], [10], [6, 6], [10], [10], [9], [10], [5, 5], [8], [7], [7], [10], [8], [10], [10], [9], [9], [7], [9], [9], [8], [8], [8], [8], [9], [8]]
[[6, 6], [10], [8], [6, 6], [4, 7], [8], [8], [10], [8], [10], [10], [9], [5, 7], [8], [10], [9], [9], [9], [10], [7], [5, 7], [9], [8], [9], [7], [8], [9], [7], [10], [8], [10], [5, 5], [8], [8], [8], [10], [7], [7], [10], [], [], [8]]
[[4, 8], [8], [8], [8], [8], [7], [9], [7], [7], [8], [], [10], [10], [8], [], [9], [5, 5], [8], [9], [10], [7], [10], [5, 7], [10], [9], [], [7], [6, 6], [10], [9], [7], [10], [6, 6], [9], [8], [10], [8], [8], [10], [10], [9], [8], [5, 7]]
[[4, 8], [5, 7], [7], [8], [8], [9], [8], [], [10], [8], [8], [8], [10], [9], [8], [10], [10], [], [10], [9], [10], [], [8], [10], [9], [7], [8], [9], [10], [8], [10], [], [7], [6, 6], [9], [10], [5, 5], [7], [8], [6, 6], [7], [5, 7], [7], [9]]
[[4, 7], [8], [8], [8], [8], [8], [5], [], [], [], [5, 5], [9], [10], [], [9], [7], [10], [8], [8], [10], [6, 6], [10], [7], [10], [10], [9], [8], [10], [8], [7], [7], [7], [10], [10], [8], [8], [10], [8], [9], [9], [6, 6], [9], [7], [9], [5, 7]]
[[5, 5], [10], [10], [8], [10], [9], [8], [10], [10], [8], [7], [8], [6], [8], [7], [9], [8], [8], [7], [8], [5], [4, 6], [6], [7], [8], [9], [8], [9], [10], [9], [8], [6], [9], [5], [7], [10], [10], [], [7], [7], [9], [7], [], [10], [10], [8]]
-EndAllocation

Instance: [[1], [362], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [241, 161, 121, 97, 81, 69, 61, 54, 49, 44, 41, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [181, 121, 91, 73, 61, 52, 46, 41, 37, 33, 31, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10]]
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 4, 9, 9, 9, 9, 9, 9, 9, 9], [9], [6, 6, 6, 6, 6, 10], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
[[4, 4, 7, 7, 7, 8, 8, 8, 8, 8], [5, 5, 8, 10, 10], [6, 6, 6, 6, 6, 10], [7, 7, 7, 7, 7, 7, 10, 10], [10, 10], [8, 8, 8, 8, 9, 9, 9, 10], [9, 9, 9, 9, 9, 9, 10]]
[[4, 4, 10, 10, 10, 10, 10], [], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 8, 8, 8], [5, 5, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7], [7, 10, 10, 10, 10]]
[[4, 4, 8, 8, 8, 8], [9, 9, 9], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8], [5, 5, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 7, 7]]
[[4, 4, 10, 10, 10, 10], [], [8, 8, 8, 8], [5, 5, 9, 9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [7, 7, 10], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 7, 7, 7, 9], [10, 10, 10, 10], [4, 10], [10, 10, 10, 10]]
[[4, 4, 5, 5, 10], [], [8, 8, 8, 8, 8], [7, 7, 7, 7], [7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 9], [8, 8, 8, 8, 8], [], [10, 10, 10, 10]]
[[4, 4, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [9, 9], [9, 9, 9, 9]]
[[8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [5, 7, 7, 7, 7], [], [8, 8, 8, 8], [10, 10, 10], [4, 4, 7, 10], [6, 9, 9, 9], [6, 6, 6, 6, 10], [8, 8, 10], [], [5, 9, 9, 9]]
[[4, 7, 7, 7, 7], [6, 6, 6, 6, 6], [], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [5, 5, 10, 10], [9, 9, 9], [4, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 10], [], [8, 8]]
[[4, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [7], [7, 7, 7, 7], [4, 8], [7, 7, 7, 7], [9, 9, 9], [], [5, 5], [8, 8, 8], [10, 10, 10]]
[[4, 4, 8], [10, 10], [6], [9, 9, 9], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [5, 5, 10], [7, 10, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [10, 10]]
[[4, 4, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7, 7, 7, 7], [10, 10], [9, 9, 9], [6, 7, 10], [8, 8, 8], [10, 10], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8], [], [9, 9, 9], [10, 10], [5, 5]]
[[4, 4, 7, 10], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [5, 5, 8], [10, 10], [], [9], [7, 9, 9], [9, 9], [6], [7, 7, 7], [7, 9, 9], [8, 8, 8], [9, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[4, 4, 6, 8], [7, 7, 7], [9, 9], [5, 10, 10], [], [], [8, 8, 8], [7, 7, 7], [9, 10], [9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [5, 9, 9], [10, 10], [9, 9], [], [6, 6, 6, 6], [10, 10], [8, 8, 8]]
[[4, 4, 7, 8], [10, 10], [7, 7, 7], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [], [6, 10], [9, 9], [7, 7, 7], [6, 6, 6, 6], [], [7, 7, 9], [8, 8, 8], [9, 9], [9, 9], [10, 10], [], [5, 5], [10, 10]]
[[4, 8, 8], [10, 10], [9], [9, 9], [10, 10], [6, 6, 6], [10], [10, 10], [8, 8], [7, 7, 7], [4, 9, 9], [7, 7, 7], [6, 8, 8], [5, 5], [], [8, 8], [9, 9], [10, 10], [6, 8, 8], [], [9, 9], [7, 7, 7]]
[[4, 8, 8], [6, 6, 6], [10], [], [10, 10], [8, 8], [7, 7, 7], [], [8, 8], [], [7, 7], [9, 9], [8, 8], [6, 6, 7], [7, 7, 7], [10, 10], [9, 9], [10, 10], [10, 10], [5, 5, 9], [9, 9], [9, 9], [4, 8, 8]]
[[4, 4], [], [9, 9], [6, 6, 6], [10, 10], [9, 9], [5, 8, 8], [7, 7, 7], [10, 10], [], [8, 8], [10, 10], [9, 10], [], [9, 9], [8, 8], [9, 9], [], [7, 7, 7], [10, 10], [5, 8, 8], [7, 7, 7], [6, 6], [8, 8]]
[[4, 8, 8], [4, 6, 10], [7], [6, 6, 6], [8, 8], [10, 10], [], [9, 9], [8, 8], [10, 10], [7, 7], [8, 8], [10, 10], [7, 7], [9, 9], [], [9, 9], [], [8, 8], [10], [5, 5, 9], [7, 7], [7, 7], [6, 10], [9, 9]]
[[7, 10], [10], [4, 6, 7], [7, 10], [9, 9], [4, 7, 7], [7, 10], [9, 9], [], [7, 10], [7, 7], [8, 8], [6, 6, 6], [8, 8], [10], [5, 5], [], [6, 9], [8, 8], [10], [8, 8], [10], [10], [9, 9], [8, 8], [9, 9]]
[[8, 8], [4, 4, 7], [6, 10], [8, 8], [8, 8], [10], [9, 9], [9], [9, 9], [5, 5, 7], [10], [10], [10], [7, 7], [10], [9, 9], [6, 6, 6], [7, 7], [], [8, 8], [7, 7], [10], [], [7, 10], [6, 10], [9, 9], [8, 8]]
[[8, 8], [4, 4, 9], [8, 8], [9], [7, 7], [10], [10], [8, 8], [10], [8, 9], [7, 7], [10], [6, 6], [10], [7, 9], [10], [9], [6, 6], [7, 7], [9], [10], [6, 9], [5, 10], [7, 7], [5, 10], [9], [8, 9], [8, 8]]
[[4, 4, 7], [8, 8], [6, 9], [10], [8, 8], [], [9], [10], [10], [7, 7], [10], [8, 8], [6, 9], [8, 8], [9], [6, 9], [10], [9], [7, 7], [5, 9], [7, 10], [9], [7, 7], [10], [7, 9], [10], [10], [5, 6, 6], [8, 8]]
[[4, 10], [8, 9], [4, 6, 6], [7, 7], [5, 10], [], [10], [9], [9], [10], [7, 9], [8, 8], [10], [], [7, 7], [8, 9], [9], [6, 9], [10], [9], [10], [9], [8, 8], [10], [7, 7], [7, 7], [5, 10], [6, 6], [8, 8], [8, 8]]
[[4, 4, 7], [8, 8], [6, 6], [10], [9], [8, 8], [9], [8, 8], [], [10], [7, 7], [5, 5], [8, 8], [10], [9], [7, 7], [9], [6, 10], [7, 7], [9], [7, 7], [9], [9], [6, 9], [6, 9], [10], [10], [10], [10], [10], [8, 8]]
[[4, 4, 8], [8], [9], [9], [7, 7], [7, 9], [6, 6], [8, 8], [6, 9], [6, 9], [7, 7], [10], [9], [10], [10], [], [9], [7, 7], [10], [5, 5, 6], [], [9], [8, 8], [9], [10], [10], [10], [7, 7], [10], [8, 8], [10], [8, 8]]
[[4, 8], [6, 8], [4, 10], [8], [10], [10], [10], [5, 8], [10], [10], [6, 8], [9], [9], [6, 8], [8], [7, 7], [6, 8], [6, 7], [9], [5, 9], [7, 7], [8], [9], [10], [10], [8], [9], [9], [9], [7, 7], [9], [7, 7], [10]]
[[4, 10], [10], [4, 10], [10], [6, 8], [10], [5, 9], [7, 7], [9], [6, 8], [9], [7, 7], [7, 7], [8], [10], [10], [9], [8], [6, 6], [9], [10], [9], [8], [9], [9], [8], [7], [8], [5, 8], [9], [10], [7, 7], [8], [6, 8]]
[[4, 10], [4, 8], [10], [10], [10], [8], [7, 7], [9], [10], [9], [10], [9], [5, 9], [6, 6], [8], [7, 7], [8], [7, 7], [10], [6, 6], [8], [9], [8], [9], [9], [10], [7], [10], [9], [8], [8], [5, 8], [7, 7], [9], [6, 8]]
[[4, 9], [10], [8], [9], [5, 5], [8], [8], [8], [6, 7], [9], [9], [10], [10], [10], [], [6, 8], [6, 8], [10], [8], [7, 7], [9], [10], [10], [10], [9], [9], [9], [7, 7], [7, 7], [8], [10], [7, 7], [9], [6, 6], [8], [4, 8]]
[[6, 7], [8], [6, 7], [9], [4, 9], [9], [9], [10], [5, 8], [5, 8], [10], [7], [10], [10], [10], [8], [10], [9], [8], [6, 7], [7], [7], [8], [9], [7], [10], [6, 7], [8], [10], [6, 7], [8], [9], [10], [9], [8], [8], [4, 9]]
[[10], [6, 7], [4, 9], [4, 9], [9], [6, 7], [9], [10], [6, 7], [8], [9], [6, 6], [8], [10], [10], [7], [10], [10], [5, 8], [10], [10], [8], [10], [7], [7], [9], [9], [7], [8], [9], [7], [5, 8], [8], [8], [8], [9], [8], [7]]
[[5, 8], [9], [5, 8], [8], [8], [10], [8], [6, 7], [7], [9], [6, 7], [9], [9], [6, 7], [9], [10], [10], [9], [9], [8], [8], [9], [10], [9], [10], [6, 7], [10], [], [8], [10], [10], [8], [10], [6, 7], [7], [7], [7], [8], [4, 4]]
[[4, 8], [5, 8], [9], [9], [7], [10], [8], [7], [8], [9], [9], [9], [7], [8], [7], [7], [9], [10], [6, 6], [6], [5, 8], [10], [9], [10], [7], [10], [7], [8], [8], [10], [9], [10], [8], [7], [10], [7], [8], [10], [6, 6], [4, 9]]
[[4, 7], [8], [7], [7], [8], [10], [7], [9], [10], [8], [6, 6], [9], [8], [8], [9], [8], [6], [6, 6], [7], [10], [9], [10], [5, 5], [8], [10], [10], [10], [8], [10], [10], [7], [8], [8], [9], [9], [7], [9], [9], [9], [7], [4, 7]]
[[9], [9], [4, 7], [9], [10], [4, 7], [10], [8], [9], [8], [10], [5, 7], [10], [5, 7], [7], [7], [8], [8], [8], [7], [10], [8], [8], [6, 6], [10], [7], [8], [10], [9], [10], [8], [9], [], [10], [6, 6], [], [9], [9], [8], [7], [9], [6]]
[[9], [4, 8], [8], [7], [8], [6], [7], [9], [8], [7], [9], [7], [10], [5, 5], [7], [], [], [8], [9], [10], [10], [10], [7], [10], [9], [9], [7], [6, 6], [10], [9], [7], [10], [6, 6], [9], [8], [10], [8], [8], [7], [10], [9], [8], [4, 8]]
[[9], [4, 8], [6], [4, 8], [9], [], [6, 6], [10], [10], [8], [9], [9], [10], [7], [9], [10], [9], [7], [10], [7], [9], [9], [9], [8], [8], [8], [8], [8], [10], [7], [10], [7], [7], [8], [6, 6], [10], [5, 5], [], [10], [7], [], [7], [7], [8]]
[[9], [9], [4, 8], [4, 7], [7], [8], [10], [7], [6], [8], [5, 5], [9], [10], [9], [9], [8], [10], [], [7], [], [], [6, 6], [8], [], [10], [9], [10], [8], [7], [7], [7], [7], [10], [10], [8], [8], [10], [8], [9], [9], [6, 6], [9], [8], [10], [7]]
[[8], [7], [6], [6], [], [4, 6], [7], [8], [8], [8], [8], [5, 5], [8], [8], [9], [8], [8], [7], [], [9], [10], [9], [9], [10], [10], [10], [10], [9], [10], [9], [10], [9], [9], [7], [10], [8], [7], [], [10], [7], [7], [6], [9], [7], [7], [4, 6]]
-EndAllocation

Instance: [[1], [361], 46]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,46. UB Alg: [241, 161, 121, 97, 81, 69, 61, 54, 49, 44, 41, 37, 34, 33, 30, 29, 28, 25, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [181, 121, 91, 73, 61, 52, 46, 41, 37, 33, 31, 28, 26, 25, 23, 22, 21, 19, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,46:
-StartAllocation
[[3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7]]
[[3, 6, 6, 6, 6, 6, 6], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 8, 8, 10], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [3], [7, 7, 7, 7, 7, 7, 7], [9, 10, 10, 10, 10], [5, 5, 5, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10], [3], [6, 9, 9, 9, 9, 9, 9], [5, 5, 5], [6, 6, 6, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [6, 6, 7, 7, 7, 7, 7, 7, 7], [9, 9, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8, 8], [5, 5, 5, 9, 9], [10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6]]
[[3, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [5, 5, 5, 9, 9, 9], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [10], [10, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [7, 8], [6, 6, 6, 6, 6, 6, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 5], [10, 10, 10, 10], [10], [10, 10, 10, 10]]
[[5, 8, 8, 8, 8], [], [7, 7, 8, 8, 8], [9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [9, 9, 9], [5, 5, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [3, 10], [6, 6, 6, 6, 6, 6]]
[[3, 8, 8, 8, 8], [6, 10, 10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6, 7], [9, 9, 9, 9], [5, 5, 5], [8, 8, 8, 8], [7, 10, 10, 10], [], [9, 9, 9, 9]]
[[8, 8, 8, 9], [7, 7, 7], [10, 10, 10], [10, 10, 10], [6, 7, 7, 7, 7], [], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 8, 9], [3, 9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [], [9, 9, 9]]
[[3, 5, 5, 7, 7], [6, 6, 6, 6, 6], [], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [5, 9, 9], [6, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7], [], [8, 8, 8, 8]]
[[3, 8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9], [], [6, 7, 7, 7], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [], [5, 5, 5], [8, 8, 8], [10, 10, 10]]
[[3, 6, 8, 8], [9, 10, 10], [], [9, 9, 9], [8, 8, 8], [], [7, 7, 7, 7], [9, 10, 10], [5, 10, 10], [5, 8, 8, 8], [5, 8, 10], [7, 7, 7], [], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [6, 10, 10]]
[[3, 8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [10, 10], [], [7, 7, 7, 7], [10, 10], [9, 9], [6, 6, 10], [8, 8, 8], [10, 10], [7, 7, 7], [8, 8, 8], [8, 8, 8], [], [9, 9, 9], [10, 10], [5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 7], [8, 8, 8], [8, 8, 8], [10, 10], [], [5, 5, 5, 10], [3, 9, 9], [9, 9], [9], [7, 7, 7], [7, 9, 9], [], [6, 6, 9], [10, 10], [10, 10], [6, 6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [9, 9], [6, 6, 10], [], [], [8, 8, 8], [9, 10], [5, 10, 10], [8, 8, 9], [3, 7, 7, 7], [8, 8, 8], [7, 10], [9, 9], [10, 10], [9, 9], [], [6, 6, 6, 6], [10, 10], [5, 5, 8]]
[[8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [6, 6], [10], [3, 9, 9], [7, 7, 7], [6, 6, 6, 6], [], [7], [8, 8, 8], [9, 9], [9, 9], [10, 10], [], [5, 5, 5], [10, 10]]
[[3, 9, 9], [10, 10], [], [10, 10], [7, 10], [6, 6, 6], [8, 9], [10, 10], [6, 8, 8], [8, 8], [9, 9], [7, 7, 7], [6, 6, 9], [5, 5, 5], [7], [8, 8], [8, 8], [10, 10], [8, 8], [], [9, 9], [7, 7, 8]]
[[5, 8, 8], [3, 6, 6, 6], [10, 10], [5, 8, 8], [10, 10], [], [7, 7, 7], [10], [8, 8], [], [], [9, 9], [5, 8, 8], [7], [7, 7, 7], [8, 8], [10, 10], [9, 9], [10, 10], [9, 9], [6, 6, 6], [9, 9], [8, 8]]
[[3, 5, 5, 8], [10, 10], [8, 8], [8, 10], [10, 10], [6, 6, 6], [6, 6, 6], [9, 9], [], [9, 9], [8, 8], [], [], [], [8, 8], [5, 8, 8], [9, 9], [9, 9], [7, 7, 7], [7], [8, 8], [7, 7, 7], [10, 10], [10, 10]]
[[3, 8, 8], [8, 8], [5, 6], [6, 6, 6], [9, 9], [10], [10, 10], [9, 9], [7], [8, 8], [7, 7], [8, 8], [10, 10], [7, 7], [], [], [9, 9], [10, 10], [5, 5, 8], [7, 7], [], [10, 10], [9, 9], [6, 6, 8], [8, 8]]
[[3, 5, 10], [8, 8], [5, 5, 8], [10], [9, 9], [7, 10], [7, 7], [9, 9], [], [10], [7, 7], [8, 8], [6, 6, 6], [7, 7], [10], [10], [], [6, 6, 6], [8, 8], [10], [8, 8], [8, 10], [10], [9, 9], [8, 8], [9, 9]]
[[3, 10], [8, 8], [8, 8], [8, 8], [8, 8], [10], [9, 9], [], [9, 9], [10], [7, 10], [8, 8], [6, 6, 6], [7, 7], [], [9, 9], [], [6, 6, 6], [5, 5, 5], [7, 7], [7, 10], [7, 10], [10], [10], [10], [9, 9], [8, 8]]
[[8, 8], [5, 10], [8, 8], [6, 10], [3, 7, 7], [9], [10], [10], [6, 6], [8, 9], [8, 9], [], [9], [8, 8], [6, 10], [6, 10], [9], [7, 7], [8, 8], [10], [6, 10], [9], [5, 5], [7, 7], [9], [9], [7, 10], [8, 8]]
[[8, 8], [8, 9], [5, 6, 6], [3, 5], [8, 8], [5, 10], [9], [10], [6, 10], [], [10], [7], [7, 7], [8, 8], [8, 9], [9], [10], [7, 7], [7, 7], [10], [10], [9], [8, 8], [6, 9], [6, 9], [10], [9], [6, 10], [8, 8]]
[[8, 8], [8, 8], [3, 5, 6], [6, 6], [9], [10], [], [9], [9], [10], [7, 9], [8, 8], [10], [], [7, 7], [5, 9], [9], [10], [], [9], [6, 10], [7, 9], [8, 8], [5, 10], [7, 7], [7, 10], [6, 10], [6, 10], [8, 8], [8, 8]]
[[8, 8], [8, 8], [10], [7, 9], [9], [10], [10], [8, 8], [], [10], [7, 7], [6, 6], [10], [6, 10], [9], [7, 7], [9], [9], [8, 8], [8, 8], [9], [], [10], [7, 7], [6, 10], [9], [10], [6, 6], [5, 5, 5], [3, 9], [8, 8]]
[[8, 8], [8, 8], [3, 5], [5, 9], [7, 7], [10], [6, 6], [8, 8], [6, 9], [9], [7, 7], [9], [], [10], [7], [], [9], [7, 7], [5, 9], [], [9], [10], [6, 9], [10], [6, 10], [6, 10], [10], [10], [8, 8], [8, 8], [10], [8, 8]]
[[3, 10], [6, 7], [5, 9], [6, 8], [5, 9], [5, 8], [7, 7], [8], [10], [9], [10], [6, 8], [10], [8], [6, 8], [10], [10], [10], [6, 8], [8], [9], [10], [8], [8], [9], [9], [8], [10], [9], [9], [6, 8], [7, 7], [7, 7]]
[[8], [5, 7], [3, 10], [6, 8], [10], [10], [5, 9], [10], [6, 8], [8], [7], [10], [10], [6, 8], [10], [9], [10], [7, 7], [6, 8], [9], [6, 7], [9], [8], [9], [5, 9], [9], [9], [6, 8], [8], [10], [8], [8], [7, 7], [8]]
[[3, 10], [6, 8], [10], [8], [10], [10], [9], [8], [10], [9], [8], [8], [5, 5], [6, 7], [8], [7, 7], [8], [7, 7], [9], [6, 6], [9], [5, 9], [10], [8], [8], [10], [10], [9], [10], [9], [9], [8], [6, 8], [6, 8], [7, 7]]
[[3, 8], [10], [8], [8], [10], [10], [7, 7], [8], [6, 6], [9], [8], [10], [5, 9], [10], [9], [8], [8], [8], [9], [7, 7], [9], [10], [9], [10], [8], [8], [10], [7], [5, 8], [6, 6], [7, 7], [10], [9], [6, 6], [9], [5, 8]]
[[6, 7], [5, 6], [10], [6, 7], [6, 7], [8], [10], [8], [8], [6, 7], [9], [8], [8], [8], [10], [5, 8], [10], [10], [10], [6, 7], [3, 10], [8], [9], [9], [8], [8], [10], [8], [7], [9], [9], [5, 7], [9], [9], [9], [8], [10]]
[[3, 8], [8], [10], [6, 7], [5, 8], [5, 8], [10], [8], [10], [7], [8], [8], [8], [10], [10], [10], [6, 6], [7], [9], [10], [9], [10], [10], [8], [9], [9], [8], [7], [9], [7], [5, 8], [9], [7], [9], [6, 7], [6, 6], [8], [9]]
[[6, 7], [], [10], [6, 6], [10], [10], [9], [9], [10], [9], [9], [5, 8], [10], [8], [8], [7], [9], [8], [10], [10], [7], [6, 7], [8], [8], [8], [7], [6, 7], [3, 8], [8], [6, 7], [8], [8], [8], [10], [10], [9], [5, 5], [9], [9]]
[[5, 7], [8], [9], [9], [6, 7], [3, 9], [6, 7], [7], [9], [], [9], [8], [], [9], [5, 7], [10], [8], [10], [9], [8], [8], [10], [7], [10], [8], [10], [5, 7], [8], [8], [10], [8], [8], [8], [10], [10], [6, 6], [8], [9], [6, 6], [10]]
[[9], [7], [7], [8], [8], [9], [8], [7], [8], [8], [6, 6], [9], [8], [8], [9], [], [6, 6], [6, 6], [7], [10], [9], [10], [10], [10], [7], [10], [10], [8], [10], [5, 5], [9], [10], [8], [7], [3, 8], [9], [8], [5, 7], [10], [9], [8]]
[[8], [5, 5], [8], [6, 6], [8], [7], [9], [10], [10], [7], [8], [10], [8], [8], [6, 6], [10], [9], [7], [9], [7], [9], [10], [10], [9], [10], [7], [9], [3], [10], [7], [8], [8], [10], [8], [8], [8], [9], [8], [6, 6], [], [9], [5, 7]]
[[3, 9], [8], [5, 7], [8], [5, 5], [8], [6, 6], [7], [8], [8], [9], [7], [10], [7], [], [7], [9], [8], [9], [10], [10], [10], [7], [10], [9], [], [8], [7], [], [9], [8], [10], [6, 6], [9], [8], [10], [8], [9], [10], [6, 6], [8], [10], [8]]
[[5, 7], [3, 8], [5, 7], [5, 7], [7], [9], [8], [8], [10], [8], [8], [8], [7], [9], [8], [10], [8], [9], [10], [8], [10], [], [10], [6, 6], [10], [7], [9], [6, 6], [], [9], [10], [], [], [7], [], [10], [10], [9], [9], [6, 6], [8], [9], [8], [8]]
[[9], [5, 5], [8], [8], [5, 7], [8], [10], [9], [8], [8], [9], [8], [6, 6], [8], [8], [7], [], [], [10], [10], [8], [7], [9], [], [10], [8], [10], [], [7], [3, 7], [8], [10], [9], [10], [9], [7], [10], [6, 6], [], [9], [9], [7], [6, 6], [10], [8]]
[[8], [8], [5], [8], [7], [6], [10], [], [7], [9], [10], [9], [3, 7], [10], [6], [9], [8], [8], [7], [], [8], [7], [10], [8], [9], [9], [6], [6], [10], [10], [9], [9], [8], [6], [10], [10], [9], [8], [10], [8], [6], [7], [8], [5, 5], [7], [8]]
-EndAllocation

Instance: [[1], [376], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [250, 168, 125, 101, 84, 72, 62, 56, 50, 46, 42, 38, 36, 34, 32, 30, 28, 26, 25, 24, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [188, 126, 94, 76, 63, 54, 47, 42, 38, 35, 32, 29, 27, 26, 24, 23, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10]]
[[6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6]]
[[6, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10], [5, 5, 5, 5], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[10, 10, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8]]
[[6, 8, 8, 8, 8, 9], [], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10, 10, 10], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8], [7], [9, 10], [5, 5, 5, 5, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [9, 9], [9, 9, 9, 9, 9], [10, 10], [7, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 5, 5, 5], [9, 9], [8, 8, 8, 8, 8], [7, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[6, 9, 9, 9, 9], [5, 5, 5, 5], [10, 10, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 8], [9, 9, 9], [8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [7, 8, 8, 8, 8], [8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [], [7, 8, 8, 8], [10, 10, 10], [7, 10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 10, 10, 10], [5, 5, 8, 8, 8], [7, 7, 7, 7, 7], [5]]
[[5, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [], [7, 7, 10], [8, 8, 8], [5, 5, 5, 10, 10], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6]]
[[6, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7], [], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 9], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9]]
[[7, 7, 8, 8], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 7], [6, 8, 9], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], []]
[[7, 10, 10], [6], [10, 10, 10], [9, 9], [], [10], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [5, 7, 7, 7], [7, 9, 9], [9, 9, 9], [8, 8], [8, 8, 8], [5, 5, 5, 7, 7], [8, 8, 8], [8, 8, 8]]
[[5, 6, 6, 10], [], [9], [10, 10], [], [10, 10], [9, 9, 9], [7, 7, 7], [8, 10, 10], [9, 9, 9], [5, 5, 5, 10], [7, 7, 7, 7], [8, 10, 10], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [9, 9], [], [10, 10], [10, 10], [9, 9], [7, 7, 7], [6, 9, 9], [8, 8, 8], [7, 7, 7], [7, 8, 8], [10, 10], [10, 10], [8, 8, 8], [10, 10], [6, 10, 10], [6, 6, 6, 6], [9], [5, 5, 5, 5]]
[[8, 8, 8], [8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [7, 7, 7], [10, 10], [6, 9, 9], [10, 10], [6, 7, 9], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[7, 8, 8], [7, 7, 7], [10, 10], [], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [9], [6, 6], [7, 7, 7], [9, 9], [10, 10], [9, 9]]
[[7, 8, 8], [10, 10], [], [10, 10], [9, 9], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8, 8], [], [7, 7, 7], [], [6, 6, 9], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5], [], [8, 8, 8], [6, 6, 6, 6], [7, 7, 7]]
[[8, 8], [7, 9], [9, 9], [], [10, 10], [10, 10], [6, 6, 6], [8, 8], [10, 10], [], [7, 7, 7], [8], [8, 8], [10, 10], [6, 6, 6], [7, 7, 7], [10, 10], [9, 9], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [8, 8]]
[[7, 8], [7, 7, 7], [9], [10, 10], [9, 9], [10, 10], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [8, 8], [], [], [], [9, 9], [9, 9], [8, 8], [5, 5, 5, 5], [8, 8], [10, 10], [8, 8], [7, 7, 7], [10, 10], [8, 8]]
[[7, 8], [8, 8], [], [6, 6, 6], [8, 8], [10, 10], [9], [9, 9], [10, 10], [10, 10], [6, 6, 6], [8, 8], [10, 10], [7, 7, 7], [9, 9], [], [7, 7, 7], [], [], [8, 8], [5, 5, 5, 5], [10, 10], [9, 9], [10, 10], [8, 8]]
[[5, 5, 9], [10, 10], [5, 5, 8], [7, 8], [8], [7, 7], [10, 10], [7, 7], [8, 8], [], [], [8, 8], [8, 8], [9, 9], [9, 9], [], [7, 7], [10, 10], [9, 9], [], [10, 10], [10, 10], [10, 10], [6, 6, 6], [6, 6, 6], [8, 8]]
[[8, 8], [7, 9], [10], [9, 9], [8, 8], [7, 10], [], [10], [8, 8], [10], [6, 6, 6], [5, 5, 5], [6, 10], [10], [7, 10], [7, 7], [10], [9, 9], [8, 8], [10], [7, 7], [8, 10], [10], [5, 6], [6, 10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7], [8, 10], [10], [10], [5, 10], [10], [5, 5, 5], [10], [9], [10], [10], [10], [10], [10], [9, 9], [7, 7], [6, 6, 6], [10], [9, 9], [7, 7], [6, 6, 6], [9, 9], [7, 7], [8, 8], [8, 8]]
[[8, 8], [8, 8], [7, 10], [10], [5, 9], [10], [10], [10], [9], [7, 7], [10], [10], [9], [5, 5, 5], [10], [7, 10], [10], [8, 8], [7, 9], [8, 8], [6, 6], [6, 6], [6, 9], [10], [7, 7], [9], [8, 8], [6, 10], [8, 9]]
[[8, 8], [5, 6, 6], [7, 7], [6, 10], [10], [10], [7, 10], [], [9], [10], [7, 9], [8, 8], [10], [9], [7, 7], [8, 9], [9], [], [10], [9], [6, 10], [10], [8, 8], [10], [5, 5, 5], [7, 10], [6, 10], [6, 9], [8, 8], [8, 8]]
[[7, 9], [9], [10], [7, 10], [8], [10], [10], [8, 8], [10], [9], [10], [8, 8], [], [7, 7], [7, 7], [9], [9], [6, 6], [6, 10], [9], [10], [10], [6, 10], [9], [7, 10], [8, 8], [6, 10], [8, 8], [5, 5, 5], [5, 6], [8, 8]]
[[8, 8], [10], [8], [8, 8], [6, 9], [6, 10], [7, 9], [7, 7], [7, 7], [6, 9], [7, 7], [10], [10], [], [], [10], [9], [10], [5, 10], [6, 10], [10], [10], [6, 9], [], [10], [9], [9], [6, 10], [8, 8], [8, 8], [5, 5, 5], [8, 8]]
[[8, 8], [8, 8], [5, 10], [6, 9], [9], [8, 8], [10], [9], [6, 6], [10], [10], [5, 5, 5], [6, 6], [10], [10], [10], [7, 7], [], [10], [], [8, 8], [9], [7, 7], [10], [9], [9], [7, 7], [10], [10], [10], [6, 9], [7, 8], [8, 8]]
[[7, 8], [8, 8], [6], [7, 7], [8, 8], [10], [10], [10], [10], [9], [10], [], [8, 8], [], [7, 7], [6, 10], [10], [9], [6, 6], [10], [9], [9], [10], [5, 5, 5], [9], [8, 8], [9], [10], [10], [6, 6], [7, 7], [9], [5, 10], [8, 8]]
[[6, 7], [6, 8], [6, 8], [10], [5, 8], [5, 9], [8], [6, 6], [5, 8], [8], [9], [5, 9], [6, 8], [8], [10], [9], [8], [7, 7], [10], [10], [10], [8], [10], [9], [10], [9], [10], [8], [10], [10], [7, 7], [7, 7], [9], [10], [10]]
[[5, 7], [10], [10], [8], [5, 8], [5, 8], [8], [10], [7, 7], [6, 6], [10], [10], [6, 6], [9], [8], [9], [9], [8], [10], [8], [8], [9], [10], [9], [7, 7], [10], [9], [10], [6, 8], [10], [9], [10], [7, 7], [10], [5, 8], [6, 8]]
[[5, 9], [5, 8], [5, 8], [10], [10], [8], [10], [10], [10], [7, 7], [10], [8], [7, 7], [6, 8], [6, 8], [8], [9], [8], [6, 6], [10], [10], [9], [6, 6], [9], [9], [10], [8], [10], [9], [8], [9], [10], [7, 7], [8], [5], [10], [7]]
[[5, 8], [6, 7], [8], [9], [8], [8], [8], [10], [10], [6, 7], [10], [10], [5, 7], [9], [8], [10], [10], [5, 7], [8], [10], [8], [9], [6, 7], [9], [9], [8], [10], [9], [10], [10], [10], [8], [6], [10], [9], [6, 7], [6, 7], [5, 8]]
[[10], [10], [5, 8], [10], [8], [8], [8], [10], [8], [5, 5], [9], [8], [10], [5, 7], [9], [8], [9], [9], [8], [6, 7], [9], [6, 7], [10], [10], [6, 6], [6, 7], [9], [7], [10], [8], [6, 7], [10], [9], [8], [7], [10], [8], [10], [10]]
[[9], [9], [5, 8], [6, 7], [9], [8], [8], [8], [6, 6], [10], [9], [10], [9], [7], [10], [10], [8], [5, 5], [10], [7], [7], [10], [8], [10], [7], [10], [6, 7], [8], [8], [10], [7], [10], [8], [10], [5, 8], [9], [9], [8], [6, 6], [10]]
[[8], [5, 7], [5], [8], [10], [8], [10], [7], [8], [7], [10], [8], [10], [10], [9], [10], [10], [8], [6, 6], [8], [10], [6, 7], [10], [8], [9], [7], [8], [8], [10], [9], [9], [6, 7], [9], [9], [6, 6], [7], [10], [9], [10], [5, 5], [8]]
[[9], [5, 7], [8], [7], [10], [6, 6], [], [8], [10], [7], [10], [9], [5, 7], [8], [10], [10], [8], [6, 6], [8], [10], [8], [8], [9], [8], [10], [9], [8], [10], [10], [10], [8], [5, 5], [10], [7], [8], [9], [9], [6, 6], [7], [10], [9], [7]]
[[8], [8], [8], [8], [8], [7], [9], [7], [9], [7], [9], [5, 5], [9], [6, 6], [7], [5, 5], [7], [10], [10], [8], [9], [8], [8], [10], [], [10], [6, 6], [7], [10], [10], [8], [10], [6, 6], [9], [8], [10], [10], [10], [10], [10], [9], [8], [7]]
[[10], [8], [7], [8], [7], [9], [9], [6, 6], [10], [6, 6], [7], [8], [10], [9], [5, 5], [10], [10], [8], [8], [8], [8], [9], [], [10], [10], [7], [9], [6, 6], [], [9], [8], [7], [10], [10], [7], [10], [5, 5], [8], [8], [9], [10], [7], [10], [8]]
[[10], [8], [8], [5, 7], [7], [8], [10], [8], [8], [8], [9], [8], [10], [], [7], [7], [], [], [10], [10], [6, 6], [7], [9], [8], [10], [8], [10], [], [8], [9], [10], [10], [9], [5, 7], [10], [5, 5], [10], [6, 6], [9], [9], [6, 6], [8], [10], [9], [7]]
[[8], [8], [5, 7], [8], [5, 7], [10], [10], [7], [9], [9], [10], [9], [], [], [8], [9], [8], [8], [7], [7], [8], [], [10], [8], [], [10], [6, 6], [6, 6], [10], [10], [6, 6], [9], [8], [7], [], [10], [9], [7], [10], [8], [9], [10], [10], [10], [5, 5], [8]]
[[8], [8], [8], [9], [8], [6], [10], [7], [5, 5], [], [7], [6], [10], [], [9], [7], [7], [10], [8], [6], [8], [9], [10], [10], [7], [9], [8], [9], [7], [10], [10], [8], [6], [10], [9], [8], [10], [6], [10], [5, 5], [8], [10], [7], [10], [9], [6], [8]]
-EndAllocation

Instance: [[1], [375], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [250, 166, 125, 100, 84, 72, 62, 56, 50, 46, 42, 38, 36, 33, 32, 30, 28, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [188, 125, 94, 75, 63, 54, 47, 42, 38, 35, 32, 29, 27, 25, 24, 23, 21, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[5, 5, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10]]
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7]]
[[6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5], [5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9]]
[[7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7], [10, 10]]
[[7, 7, 7, 7, 7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8], [], [9, 9, 9, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 7, 7, 9], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9], [6, 6, 6, 6, 6, 8, 8, 8], [10, 10, 10, 10]]
[[7, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 8, 8, 8, 8], [8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5], [9, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 7, 7], [], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 10], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10], [5, 5, 5, 5, 10, 10, 10], [9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8], [9, 9], [9, 9, 9, 9, 9], [5, 7, 10], [8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [7, 9, 9, 10, 10], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 10], [6, 6, 6, 6, 6, 10], [10, 10, 10, 10], [8, 10, 10, 10], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5]]
[[7, 9, 9, 9], [10], [10, 10, 10, 10], [], [7, 10], [8, 8, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 10, 10, 10], [6, 6, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6]]
[[7, 8, 8, 8], [10, 10, 10], [9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10, 10], [7, 7, 7, 7, 7], [8], [10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 7, 7], [6, 6, 6, 6, 6]]
[[7, 9, 9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 5, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [], [10, 10], [8, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[7, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 9], [], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9]]
[[7, 8, 8, 8], [], [8, 8, 8, 8], [9, 9, 9], [7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 9], [6, 6, 6, 6, 6], [8], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10], []]
[[7, 8, 8], [], [10, 10, 10], [9], [10, 10, 10], [], [10, 10, 10], [7, 7, 7], [8, 10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6, 6], [5, 5, 5, 5]]
[[7, 8, 8], [], [9, 9, 9], [10, 10], [10], [9], [9, 9, 9], [7, 7, 7], [8, 10, 10], [6, 10, 10], [5, 5, 5, 5], [7, 7, 7, 7], [10, 10], [8, 8, 8], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10]]
[[7, 8, 8], [9, 9], [], [5, 5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [7, 9, 9], [8, 8, 10], [7, 7, 7], [6, 8, 8], [10, 10], [10, 10], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [9], [8, 8, 8]]
[[6, 7, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [7, 7, 7], [7, 10], [8, 8, 9], [10, 10], [9, 9], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[7, 8, 8], [7, 7, 7], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9], [8], [8, 8, 8], [7, 10], [8, 8, 8], [5, 5, 5, 5], [10, 10], [10, 10], [8, 8, 8], [9, 9], [9, 9], [6], [7, 7, 7], [], [10, 10], [9]]
[[7, 8, 8], [10, 10], [], [10, 10], [9, 9], [9, 9], [9, 9], [10, 10], [6, 10], [8, 8, 8], [], [7, 7, 7], [], [8, 9], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5], [7], [8, 8, 8], [6, 6, 6, 6], [7, 7, 7]]
[[8, 8], [6, 8, 8], [7, 10], [5, 5, 5, 5], [10, 10], [10, 10], [7, 7, 7], [], [10, 10], [10, 10], [8, 8], [9, 9], [8, 8], [10, 10], [6, 6, 6], [7, 7, 7], [], [8, 8], [], [9, 9], [9, 9], [7, 9], [6, 8, 8]]
[[8, 8], [8, 8], [8, 8], [9, 9], [10, 10], [], [10, 10], [9, 9], [10, 10], [9], [8, 8], [], [10, 10], [7, 10], [6, 6], [8, 8], [7, 7, 7], [5, 5, 5, 5], [6, 6, 6], [7], [8, 8], [7, 7, 7], [10, 10], [9, 9]]
[[8, 8], [8, 8], [], [6, 6, 6], [7, 7], [10, 10], [9, 9], [9, 9], [5, 5, 5, 5], [10, 10], [8, 8], [9, 9], [8, 8], [7, 7], [], [9], [7, 7], [10, 10], [6, 6], [7, 10], [7], [10, 10], [10, 10], [8, 8], [8, 8]]
[[7, 8], [8, 8], [], [10, 10], [7], [5, 5, 5, 5], [7, 7], [8, 8], [9, 9], [], [8, 8], [9, 9], [7, 7], [8, 8], [10, 10], [10, 10], [10], [6, 6, 6], [6, 6, 8], [9, 9], [10, 10], [], [10, 10], [7, 7], [9], [8, 8]]
[[7, 8], [7, 10], [], [8, 10], [8, 8], [5, 10], [9], [8, 10], [7, 7], [], [6, 6, 6], [5, 5, 5], [9, 9], [8, 8], [7, 10], [7, 7], [10], [9, 9], [8, 8], [10], [7, 10], [8, 10], [10], [10], [6, 6], [9, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10], [7, 10], [], [5, 5, 5], [7, 7], [], [6, 6, 6], [7, 10], [10], [9], [10], [10], [8, 8], [10], [9, 9], [7, 10], [6, 6], [10], [9, 9], [7, 10], [5, 10], [9, 9], [7, 7], [8, 8], [8, 8]]
[[7, 8], [8, 8], [9], [6, 10], [8, 8], [10], [10], [10], [7, 7], [8, 8], [9], [9], [7, 7], [9], [6, 6], [7, 10], [5, 10], [9], [6, 10], [7, 7], [8, 9], [5, 5, 5], [10], [10], [9], [10], [8, 8], [6, 10], [8, 8]]
[[8, 8], [7, 9], [7, 7], [6, 10], [6, 9], [9], [9], [10], [8, 8], [5, 5, 5], [7, 7], [8, 8], [10], [], [7, 7], [8, 9], [9], [], [10], [10], [6, 10], [5, 10], [8, 9], [7, 10], [10], [6, 6], [10], [10], [8, 8], [8, 8]]
[[8, 8], [7, 9], [8, 8], [6, 9], [10], [10], [9], [10], [10], [5, 5, 5], [9], [10], [10], [7, 9], [9], [6, 6], [8, 8], [6, 6], [10], [], [5], [10], [7, 9], [10], [8, 8], [10], [7, 7], [7, 10], [7, 7], [8, 8], [8, 8]]
[[10], [8, 8], [9], [8, 8], [6, 9], [5, 10], [7, 7], [8, 8], [6, 6], [10], [8, 8], [7, 9], [], [9], [9], [10], [9], [10], [5, 5, 5], [6, 10], [10], [10], [9], [10], [10], [6], [7, 7], [8], [10], [8, 8], [7, 7], [7, 8]]
[[7, 9], [8, 8], [8, 8], [9], [9], [8, 8], [10], [6, 6], [6, 6], [10], [10], [5, 5, 5], [6, 10], [10], [10], [], [7, 7], [], [10], [], [10], [9], [7, 7], [9], [7, 9], [8, 8], [7, 7], [10], [9], [5, 10], [10], [8, 8], [8, 8]]
[[6, 7], [8, 8], [9], [10], [8, 8], [10], [10], [7], [9], [8, 8], [9], [10], [7, 7], [7, 7], [10], [9], [], [10], [5, 9], [], [6, 6], [7, 7], [10], [8, 8], [10], [8, 8], [10], [10], [9], [6, 6], [5, 5, 5], [10], [9], [8, 8]]
[[10], [6, 8], [6, 8], [5, 8], [5, 8], [8], [9], [6, 7], [10], [8], [10], [8], [6, 7], [7, 7], [9], [10], [10], [7, 7], [10], [5, 8], [10], [10], [8], [10], [10], [9], [8], [9], [9], [8], [10], [5, 9], [7, 7], [9], [6, 8]]
[[10], [6, 8], [6, 8], [8], [6, 6], [10], [10], [10], [7, 7], [7, 7], [9], [8], [6, 7], [8], [8], [9], [10], [5, 9], [10], [5, 8], [10], [8], [9], [10], [10], [10], [9], [8], [9], [8], [5, 8], [5, 7], [8], [10], [9], [7, 7]]
[[8], [8], [9], [8], [8], [8], [7, 7], [10], [7, 7], [9], [10], [10], [6, 8], [8], [6, 6], [8], [7, 7], [5, 8], [9], [8], [10], [5, 7], [6, 6], [7], [9], [10], [8], [10], [9], [9], [10], [10], [10], [10], [5, 9], [10], [5, 8]]
[[5, 8], [10], [8], [9], [8], [8], [6, 7], [9], [10], [8], [5, 7], [6, 7], [6, 7], [10], [10], [8], [10], [5, 7], [5, 8], [7], [9], [10], [6, 7], [8], [9], [9], [8], [8], [9], [10], [6, 7], [10], [10], [10], [9], [8], [8], [10]]
[[10], [5, 8], [8], [10], [9], [8], [9], [10], [10], [5, 8], [6, 7], [10], [7], [7], [7], [8], [9], [8], [6, 7], [7], [8], [10], [9], [10], [9], [10], [6, 6], [10], [8], [9], [5, 8], [8], [8], [9], [6, 7], [8], [5, 7], [10], [10]]
[[9], [5, 8], [8], [5, 8], [6, 7], [8], [8], [9], [6, 6], [10], [9], [10], [9], [7], [9], [10], [8], [5, 5], [10], [10], [8], [10], [7], [10], [7], [10], [7], [8], [8], [10], [8], [10], [7], [6, 7], [10], [9], [9], [8], [6, 7], [8]]
[[10], [10], [7], [8], [10], [8], [9], [10], [8], [5, 8], [10], [10], [8], [7], [10], [6, 7], [8], [10], [7], [6, 6], [8], [10], [8], [8], [9], [10], [8], [8], [], [9], [9], [6, 6], [8], [9], [9], [7], [10], [9], [5, 7], [5, 7], [5, 7]]
[[5, 5], [7], [8], [8], [10], [8], [8], [6], [9], [10], [9], [8], [10], [7], [9], [8], [8], [7], [10], [6, 6], [9], [9], [9], [8], [10], [10], [10], [10], [10], [10], [6, 6], [5, 7], [8], [8], [8], [7], [9], [7], [8], [7], [10], [5, 7]]
[[5, 5], [8], [8], [8], [8], [5, 7], [7], [6, 6], [9], [7], [9], [10], [8], [8], [10], [10], [9], [9], [10], [], [8], [10], [8], [10], [8], [9], [8], [6, 6], [10], [9], [9], [7], [7], [10], [7], [10], [6], [8], [10], [5, 7], [8], [10], [7]]
[[10], [8], [8], [8], [6], [8], [8], [7], [9], [], [7], [8], [10], [6, 6], [10], [9], [], [8], [10], [10], [9], [7], [10], [10], [5, 5], [8], [9], [6, 6], [8], [9], [10], [8], [7], [7], [7], [10], [5, 7], [9], [10], [8], [5, 7], [9], [10], [8]]
[[5, 5], [8], [8], [8], [8], [8], [10], [10], [6], [], [6, 6], [9], [10], [9], [9], [8], [10], [], [8], [5, 5], [7], [10], [8], [7], [10], [9], [8], [10], [8], [10], [7], [7], [10], [10], [7], [8], [7], [7], [9], [9], [6, 6], [9], [7], [8], [10]]
[[5, 7], [8], [5, 7], [5, 7], [8], [6, 6], [10], [], [9], [9], [10], [9], [], [], [7], [9], [8], [8], [7], [], [8], [], [10], [9], [9], [9], [6, 6], [7], [8], [8], [8], [10], [10], [8], [10], [10], [6], [8], [10], [8], [10], [8], [10], [10], [5, 7], [7]]
[[6], [8], [8], [8], [8], [5, 5], [8], [7], [6], [7], [10], [10], [10], [], [9], [7], [8], [], [8], [10], [9], [10], [10], [8], [9], [7], [9], [5, 5], [8], [10], [10], [6], [6], [8], [6], [9], [10], [8], [7], [7], [10], [10], [7], [9], [9], [7], [8]]
-EndAllocation

Instance: [[1], [374], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [249, 166, 125, 100, 84, 72, 62, 56, 50, 45, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [187, 125, 94, 75, 63, 54, 47, 42, 38, 34, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6]]
[[5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 10, 10, 10], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10], [8, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7]]
[[9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8, 10], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10]]
[[5, 5, 5, 5, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 10], [], [6, 6, 6, 6, 6, 6, 6, 10, 10], [9, 9, 9], [8, 8, 8, 8, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [7, 7, 10, 10, 10, 10]]
[[7], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [7, 7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9]]
[[7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10, 10, 10], [10], [10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 9, 9, 9], [], [8], [8, 8, 8, 8, 8], [10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[9, 9, 9, 9], [], [10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5], [8], [10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8], [10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8], [5, 5, 5, 5, 7], []]
[[9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6], [], [7], [8, 8, 8, 8], [6, 10, 10], [5, 5, 5, 5], [8, 8, 8], [10, 10, 10]]
[[8, 8, 8, 8], [10, 10], [6, 6, 6, 6, 6], [7, 7, 9, 9], [], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [6, 6, 7, 7, 7], [5, 5, 5, 5, 7], [9, 9, 9], [8, 8, 8], [], [9, 9, 9]]
[[8, 8, 8, 8], [], [8, 8, 8], [9, 9, 9], [6, 6, 6, 7, 7], [9, 9, 9], [5, 5, 5, 5], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], []]
[[7, 9, 10], [], [10, 10], [5, 5, 5, 5], [10, 10], [6, 6, 6], [9, 10, 10], [6, 6, 6, 6], [10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8], [8, 8], [7, 10, 10], [8, 8, 8], [8, 8, 8]]
[[6, 8, 8], [6, 6, 9], [7, 7, 7, 7], [10, 10], [9, 9, 9], [], [9, 9, 9], [10, 10], [7, 10, 10], [8, 8, 9], [8, 10], [5, 5, 5, 5, 7], [10, 10], [8, 8, 8], [], [8, 8, 8], [10, 10], [6, 6, 6, 6]]
[[7, 8, 9], [6, 6], [], [6, 6, 10], [10, 10], [9, 9], [10, 10], [9, 9], [8, 8, 8], [6, 6, 7, 7], [6, 8, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5]]
[[8, 8, 8], [8, 8, 8], [9, 9], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8, 8], [7, 7, 10], [9, 9], [10, 10], [6, 6, 6, 7], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8], [], [10, 10], [9, 9], [10, 10]]
[[6, 6, 8], [7, 7, 7], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [8, 8, 8], [5, 5, 5, 5], [6, 8, 10], [10, 10], [8, 8, 8], [9, 9], [9, 9], [], [7, 7, 7], [], [10, 10], [9, 9]]
[[6, 8, 8], [8], [8, 8], [10, 10], [6, 8, 8], [9, 9], [9, 9], [9, 9], [10, 10], [6, 8, 8], [10, 10], [7, 7, 7], [6, 10], [9, 9], [10, 10], [], [10, 10], [5, 5, 5, 5], [8, 8], [], [6, 6, 6], [7, 7, 7]]
[[6, 6, 6], [7, 7, 7], [9, 9], [10, 10], [6, 8], [10], [5, 5, 5, 5], [10, 10], [10, 10], [], [8, 8], [9, 9], [8, 8], [10, 10], [6, 6, 6], [7, 7, 7], [], [8, 8], [8, 8], [9, 9], [10, 10], [9, 9], [8, 8]]
[[6, 8], [7, 7, 7], [8, 8], [6, 6, 6], [10], [10, 10], [9, 9], [8, 8], [], [5, 5, 5, 5], [6, 6, 6], [10, 10], [], [], [9, 9], [9, 9], [10, 10], [9, 9], [8, 8], [10, 10], [8, 8], [7, 7, 7], [10, 10], [8, 8]]
[[8, 8], [10, 10], [6, 6, 6], [6, 6, 6], [8], [10], [9, 9], [9, 9], [10, 10], [10, 10], [7, 7], [9, 9], [9, 9], [8, 8], [], [], [7, 7], [], [8, 8], [8, 8], [5, 5, 5, 5], [10, 10], [6, 7, 7], [10, 10], [8, 8]]
[[8, 8], [6, 8], [], [10], [], [5, 5, 5, 5], [6, 6, 6], [7, 7], [6, 6, 6], [], [10, 10], [9, 9], [7, 7], [8, 8], [10, 10], [10, 10], [], [9, 9], [8, 8], [10, 10], [7, 7], [10, 10], [9, 9], [8, 8], [8, 8], [9, 9]]
[[6, 6, 6], [8, 8], [], [8, 10], [8, 8], [10], [10], [10], [8, 8], [10], [5, 5, 5], [6, 6, 6], [9, 9], [10], [7, 7], [5, 7], [9, 9], [9, 9], [8, 8], [10], [7, 7], [10], [10], [7, 10], [6, 10], [9, 9], [8, 8]]
[[6, 8], [8, 8], [8, 10], [], [10], [], [5, 5, 5], [7, 7], [], [6, 6, 6], [7, 10], [10], [9, 9], [5, 10], [8, 10], [8, 8], [10], [9, 9], [7, 10], [6, 6, 6], [10], [9, 9], [10], [9, 9], [10], [7, 7], [8, 8], [8, 8]]
[[7, 9], [8, 8], [8, 8], [6, 10], [7, 7], [6, 9], [10], [10], [10], [7, 10], [9], [5], [9], [5, 5, 5], [6, 10], [7, 7], [10], [8, 8], [8, 9], [8, 8], [6, 6], [6, 6], [8, 9], [10], [10], [10], [10], [9], [8, 9]]
[[8, 8], [6, 9], [7, 7], [6, 6], [5, 10], [9], [9], [9], [10], [10], [6, 9], [7, 7], [8, 8], [10], [6, 10], [10], [8, 9], [10], [10], [10], [5, 5, 5], [9], [8, 8], [10], [7, 7], [6, 6], [8, 9], [10], [8], [8, 8]]
[[8, 8], [6, 9], [6, 8], [6, 10], [6, 9], [7, 10], [10], [8, 8], [5, 10], [9], [], [7, 9], [], [6, 10], [5, 10], [], [9], [5, 9], [7, 7], [8, 8], [7, 7], [10], [8, 8], [10], [6, 6], [10], [5, 9], [10], [10], [9], [8, 8]]
[[6, 9], [8], [6, 9], [7, 7], [8, 8], [10], [9], [7, 7], [8, 8], [8, 8], [6, 6], [10], [7, 7], [6, 6], [9], [10], [9], [10], [5, 5, 5], [10], [9], [10], [6, 9], [10], [10], [10], [10], [9], [10], [8, 8], [5], [8, 8]]
[[6, 6], [6, 8], [6, 10], [6, 9], [], [8, 8], [10], [9], [7, 9], [9], [10], [8, 8], [10], [10], [], [9], [10], [9], [5], [7, 7], [10], [7, 9], [5, 5, 5], [10], [10], [7, 7], [10], [8, 8], [10], [6, 6], [8, 8], [9], [8, 8]]
[[5, 8], [10], [10], [5, 8], [9], [10], [5, 8], [6, 8], [10], [6, 8], [5, 8], [7, 7], [6, 8], [6, 8], [10], [10], [10], [7, 7], [10], [10], [9], [6, 8], [9], [9], [8], [9], [8], [7, 7], [10], [9], [9], [6, 6], [10], [9]]
[[10], [10], [10], [6, 8], [7, 7], [9], [5, 5], [5, 9], [8], [10], [7, 7], [8], [6, 6], [9], [9], [10], [6, 8], [6, 8], [8], [8], [9], [10], [9], [8], [6, 8], [7, 7], [6, 8], [10], [9], [10], [10], [9], [5, 8], [10], [10]]
[[5, 9], [6, 8], [10], [7, 7], [6, 6], [10], [8], [9], [10], [10], [6, 8], [10], [10], [7], [6, 8], [9], [9], [6, 8], [10], [7], [8], [8], [8], [9], [9], [5, 5], [8], [8], [10], [10], [10], [9], [6, 8], [10], [5, 9], [7, 7]]
[[5, 8], [9], [5, 9], [7, 7], [7, 7], [10], [8], [8], [10], [10], [10], [10], [10], [10], [9], [9], [7, 7], [8], [6, 6], [9], [10], [6, 8], [6, 6], [8], [8], [8], [8], [9], [10], [6, 6], [10], [8], [9], [5, 5], [9], [10], [8]]
[[10], [9], [10], [5, 7], [10], [5, 8], [10], [5, 8], [10], [9], [9], [9], [9], [10], [10], [10], [6, 7], [8], [10], [8], [10], [5, 8], [6, 6], [6, 7], [8], [8], [8], [9], [7], [8], [6, 7], [6, 6], [9], [10], [9], [8], [8], [7]]
[[10], [5, 8], [], [5, 8], [5, 8], [6, 7], [6, 7], [9], [10], [9], [10], [10], [8], [10], [9], [8], [9], [10], [6, 7], [8], [9], [8], [7], [8], [6, 6], [7], [9], [10], [10], [9], [6, 6], [9], [7], [8], [10], [8], [10], [10], [5, 8]]
[[10], [6, 7], [8], [], [], [8], [10], [8], [6, 7], [8], [5, 8], [10], [5, 5], [6, 7], [10], [10], [10], [9], [10], [9], [10], [9], [6, 7], [9], [9], [5, 7], [8], [8], [8], [9], [8], [9], [6, 7], [8], [10], [8], [9], [10], [6, 6], [10]]
[[10], [9], [10], [9], [8], [8], [9], [10], [10], [6, 6], [6, 6], [9], [10], [7], [9], [7], [8], [10], [8], [8], [5, 5], [10], [8], [8], [9], [10], [7], [8], [6, 7], [7], [7], [6, 6], [9], [9], [10], [10], [8], [10], [8], [5, 5], [8]]
[[8], [8], [8], [8], [8], [10], [10], [], [10], [6], [6, 6], [10], [5, 5], [9], [10], [9], [7], [8], [9], [9], [9], [9], [7], [8], [10], [6, 6], [10], [8], [10], [8], [9], [10], [7], [10], [8], [5, 7], [9], [8], [10], [5, 7], [6, 6], [7]]
[[8], [8], [6, 6], [6], [8], [7], [8], [6, 6], [9], [8], [8], [6, 6], [8], [8], [10], [], [9], [9], [8], [10], [10], [10], [7], [10], [9], [8], [8], [5, 5], [10], [7], [7], [10], [10], [9], [9], [9], [9], [10], [10], [5, 5], [7], [10], [7]]
[[8], [7], [8], [7], [6, 6], [7], [8], [9], [8], [9], [8], [8], [10], [8], [6], [9], [], [8], [10], [10], [8], [10], [10], [10], [5, 5], [7], [9], [6, 6], [], [9], [10], [10], [7], [6, 6], [7], [10], [5, 5], [10], [10], [9], [9], [9], [8], [8]]
[[9], [8], [8], [7], [6, 6], [8], [10], [8], [6], [7], [6, 6], [9], [10], [8], [9], [8], [], [5, 5], [8], [5, 5], [], [10], [9], [10], [7], [], [9], [7], [7], [7], [10], [8], [10], [10], [10], [8], [10], [8], [10], [9], [6, 6], [9], [9], [10], [8]]
[[5, 7], [6, 6], [6], [8], [7], [6, 6], [10], [9], [9], [9], [10], [9], [], [], [], [9], [8], [8], [7], [8], [8], [10], [10], [9], [], [], [6, 6], [5, 7], [10], [10], [9], [8], [8], [8], [10], [10], [9], [7], [10], [7], [8], [10], [8], [10], [5, 5], [8]]
[[8], [8], [6], [8], [9], [6], [10], [7], [10], [10], [10], [9], [10], [6], [6], [6], [7], [9], [8], [9], [5, 5], [7], [10], [10], [8], [], [8], [10], [7], [10], [9], [8], [6], [10], [], [8], [8], [5, 5], [6], [10], [7], [9], [7], [9], [9], [8], [8]]
-EndAllocation

Instance: [[1], [373], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [249, 166, 125, 100, 84, 72, 62, 56, 50, 45, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [187, 125, 94, 75, 63, 54, 47, 42, 38, 34, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6]]
[[4, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7]]
[[4, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 8, 10], [9, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9], [10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [9, 9, 10], [8, 8, 8, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4, 10], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6], [8, 8, 8], [7, 7, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 9, 9]]
[[4, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10, 10, 10], [10, 10], [10, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 9], [5, 5, 5, 5, 5, 9, 9], [], [], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[4, 9, 9, 9, 9], [], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8], []]
[[4, 8, 8, 8, 8], [8, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [10, 10, 10], [8, 10, 10, 10], [5, 5, 5, 5, 5, 7], []]
[[4, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6], [], [7, 9], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 5], [8, 8, 8, 8], [10, 10, 10]]
[[4, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 9, 9], [], [10, 10, 10], [10, 10, 10], [8, 8, 10], [8, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9]]
[[4, 8, 8, 8], [], [8, 8], [9, 9, 9], [7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6], [8, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], []]
[[4, 6, 10], [10], [10, 10], [5, 5, 5, 5, 5], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [9, 10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 9, 10], [8, 8, 8], [7, 7, 10], [], [8, 8, 8]]
[[4, 8, 8, 8], [9, 9], [7, 7, 7, 7], [10, 10], [9, 9, 9], [], [9, 9, 9], [10], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [7, 7, 10], [8, 8, 8], [6, 6, 6, 6], [8], [6, 10, 10], [10, 10]]
[[4, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [], [10, 10], [10, 10], [6, 9, 9], [8, 8], [7, 7, 7], [9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5, 5]]
[[4, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5, 5], [7, 7, 7], [10, 10], [6, 9, 9], [10, 10], [9, 9], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[4, 5, 8], [7, 7, 7], [10, 10], [], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [10, 10], [6, 9, 9]]
[[4, 8, 8], [8, 8], [6, 8, 8], [10, 10], [9, 9], [9, 9], [9, 9], [10, 10], [10, 10], [6, 8, 8], [10, 10], [7, 7, 7], [], [9, 9], [10, 10], [], [10, 10], [5, 5, 5, 5], [5, 8, 8], [], [6, 6, 6], [7, 7, 7]]
[[10, 10], [7, 7, 7], [6, 6], [10, 10], [], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [4], [8, 8], [8, 8], [8, 8], [10, 10], [6, 6, 6], [7, 7, 7], [], [8, 8], [9, 9], [9, 9], [9, 9], [9, 9], [5, 8, 8]]
[[4, 8, 8], [7, 7, 7], [6, 6], [6, 6, 6], [10, 10], [10, 10], [9, 9], [8, 8], [], [5, 5, 5, 5], [10, 10], [10, 10], [], [], [9, 9], [9, 9], [10, 10], [9, 9], [8, 8], [], [8, 8], [7, 7, 7], [10, 10], [5, 8, 8]]
[[4, 8, 8], [10, 10], [5], [6, 6], [8, 8], [10, 10], [9, 9], [9, 9], [10, 10], [10, 10], [7, 7], [9, 9], [6, 6, 6], [9, 9], [], [], [7, 7], [], [8, 8], [8, 8], [5, 5, 5, 5], [10, 10], [7, 7], [10, 10], [8, 8]]
[[9, 9], [8, 8], [9], [10, 10], [6, 6], [5, 5, 5, 5], [], [7, 7], [6, 6, 6], [], [10, 10], [9, 9], [7, 7], [], [10, 10], [10, 10], [], [9, 9], [8, 8], [10, 10], [4, 7, 7], [10, 10], [5, 9], [8, 8], [8, 8], [8, 8]]
[[4, 8], [9, 9], [5, 5], [10], [8, 8], [10], [10], [10], [8, 8], [10], [5, 5, 5], [6, 6, 6], [9, 9], [8, 8], [7, 10], [7, 7], [9, 9], [9, 9], [8, 8], [8, 10], [7, 7], [10], [10], [10], [10], [6, 6], [7, 10]]
[[4, 5, 9], [8, 8], [8, 8], [9, 9], [10], [], [5, 5, 5], [7, 7], [], [6, 6], [8, 10], [10], [10], [10], [10], [8, 8], [10], [9, 9], [7, 10], [6, 6, 6], [10], [9, 9], [7, 10], [5, 10], [10], [7, 7], [8, 8], [8, 9]]
[[4, 9], [10], [8, 8], [10], [7, 7], [9], [6, 10], [10], [5, 5], [7, 7], [10], [9], [10], [5, 5, 5], [7, 10], [10], [10], [8, 8], [7, 9], [8, 8], [6, 6], [6, 10], [9], [10], [8, 9], [10], [8, 8], [6, 9], [8, 9]]
[[7, 8], [5, 10], [6, 10], [6, 9], [9], [10], [9], [10], [9], [4, 10], [6, 9], [7, 7], [8, 8], [10], [10], [10], [9], [10], [], [8, 8], [5, 5, 5], [10], [9], [7, 7], [7, 10], [5, 6, 6], [10], [8, 9], [8, 8], [8, 8]]
[[8, 8], [10], [8, 8], [9], [9], [10], [10], [8, 8], [4, 10], [6, 9], [], [9], [10], [10], [5, 10], [6, 6], [9], [5, 5, 5], [7, 7], [7, 7], [7, 7], [9], [8, 8], [10], [6, 10], [10], [5, 9], [9], [10], [6, 10], [8, 8]]
[[8, 8], [8, 8], [9], [7, 7], [8, 8], [10], [10], [7, 7], [5, 10], [], [6, 6], [10], [], [10], [7, 9], [10], [9], [10], [5, 5, 5], [6, 10], [10], [10], [6, 9], [], [5, 9], [9], [6, 10], [9], [4, 10], [8, 8], [7, 9], [8, 8]]
[[8, 8], [8, 8], [6, 10], [9], [9], [8, 8], [10], [9], [9], [9], [10], [9], [10], [10], [10], [6, 6], [10], [10], [], [], [10], [7, 7], [5, 5, 5], [7, 7], [10], [7, 7], [10], [8, 8], [5, 10], [6, 6], [8, 8], [5, 9], [4, 9]]
[[6, 8], [10], [5, 9], [10], [8], [6, 7], [8], [8], [9], [5, 9], [8], [10], [10], [10], [9], [8], [10], [7, 7], [10], [8], [7, 7], [10], [10], [6, 7], [10], [10], [8], [9], [6, 8], [5, 9], [6, 8], [4, 10], [5, 9], [5, 9]]
[[4, 10], [5, 9], [8], [10], [10], [8], [8], [10], [10], [8], [9], [10], [8], [6, 6], [9], [7, 7], [10], [5, 5], [9], [9], [6, 8], [10], [7, 7], [10], [10], [10], [10], [8], [9], [9], [5, 9], [6, 8], [7, 7], [5, 8], [6, 8]]
[[5, 8], [6, 8], [7, 7], [8], [6, 6], [6, 8], [10], [10], [7, 7], [6, 8], [10], [9], [8], [], [9], [9], [10], [9], [10], [8], [10], [7, 7], [10], [10], [10], [10], [8], [4, 10], [8], [5, 5], [10], [9], [5, 9], [9], [8], [5, 9]]
[[4, 8], [6, 8], [8], [8], [9], [8], [9], [9], [8], [7, 7], [10], [8], [7, 7], [9], [5, 5], [9], [9], [10], [6, 6], [8], [10], [10], [6, 6], [10], [9], [10], [10], [10], [9], [10], [8], [10], [7, 7], [10], [5, 5], [10], [5, 8]]
[[5, 7], [9], [10], [8], [10], [8], [10], [8], [10], [7], [9], [9], [6, 7], [10], [8], [10], [7], [9], [10], [5, 7], [8], [10], [6, 6], [7], [8], [9], [10], [9], [9], [10], [10], [6, 6], [8], [5, 8], [10], [5, 8], [5, 8], [4, 9]]
[[10], [5, 8], [6, 7], [8], [8], [7], [9], [10], [10], [5, 5], [8], [10], [8], [10], [8], [9], [9], [10], [10], [9], [7], [9], [8], [9], [6, 6], [7], [9], [10], [10], [5, 8], [6, 6], [10], [9], [8], [10], [5, 8], [7], [10], [4, 7]]
[[4, 9], [5, 8], [9], [10], [9], [5, 8], [8], [9], [6, 6], [10], [10], [10], [5, 5], [7], [], [8], [9], [9], [9], [], [10], [10], [7], [10], [7], [8], [8], [10], [8], [10], [8], [6, 7], [10], [10], [8], [6, 7], [9], [5, 8], [6, 7], [10]]
[[4, 5], [10], [8], [9], [10], [10], [6, 7], [8], [10], [9], [10], [7], [10], [7], [7], [10], [8], [10], [7], [6, 6], [5, 5], [10], [8], [8], [9], [10], [9], [8], [7], [9], [9], [6, 6], [9], [8], [10], [8], [10], [8], [9], [5, 5], [8]]
[[4, 8], [8], [8], [5, 7], [8], [10], [9], [9], [10], [6], [8], [10], [5, 5], [9], [10], [8], [8], [9], [10], [10], [6, 6], [], [9], [8], [10], [6, 6], [10], [8], [10], [], [9], [10], [9], [7], [7], [10], [9], [5, 7], [7], [10], [5, 7], [8]]
[[4, 7], [7], [8], [8], [8], [5, 7], [8], [6, 6], [9], [8], [8], [10], [8], [], [10], [10], [9], [9], [8], [8], [10], [10], [6, 6], [10], [9], [], [7], [5, 5], [], [6], [9], [10], [10], [9], [9], [10], [9], [10], [10], [5, 7], [8], [10], [5, 7]]
[[4, 8], [8], [5, 7], [8], [7], [9], [9], [7], [7], [9], [7], [8], [10], [8], [10], [9], [], [8], [10], [10], [8], [], [10], [10], [5, 5], [7], [9], [6, 6], [], [9], [10], [6], [10], [10], [10], [10], [5, 5], [9], [10], [6, 6], [8], [9], [8], [8]]
[[4, 5], [8], [8], [7], [8], [8], [10], [8], [6], [8], [6, 6], [9], [10], [8], [9], [8], [10], [], [8], [5, 5], [], [10], [9], [10], [], [], [9], [10], [7], [8], [10], [7], [10], [9], [7], [5, 7], [10], [9], [9], [9], [6, 6], [10], [10], [10], [5, 7]]
[[5, 7], [8], [8], [8], [7], [6, 6], [7], [], [5, 5], [9], [10], [9], [], [6], [], [9], [8], [8], [7], [], [8], [], [10], [8], [7], [9], [6, 6], [9], [10], [10], [9], [9], [8], [10], [10], [10], [9], [7], [10], [10], [8], [10], [10], [10], [5, 5], [4, 8]]
[[8], [8], [8], [8], [8], [5, 5], [10], [7], [5], [9], [], [6], [10], [], [9], [7], [], [10], [6], [10], [8], [9], [10], [9], [8], [9], [8], [9], [7], [10], [9], [8], [7], [10], [9], [8], [6], [5, 5], [10], [6], [7], [10], [7], [10], [10], [4, 6], [10]]
-EndAllocation

Instance: [[1], [372], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [248, 165, 124, 100, 82, 72, 62, 56, 50, 45, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [186, 124, 93, 75, 62, 54, 47, 42, 38, 34, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 10], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7]]
[[4, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10], []]
[[4, 6, 6, 6, 6, 10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 10], [7, 7, 7, 7, 7, 7, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], []]
[[9, 9, 9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [8, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9], [8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4, 7], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 9, 9], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], []]
[[4, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6], [9, 9, 9], [10, 10, 10, 10, 10], [10, 10, 10], [10, 10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 7, 10], [5, 5, 5, 5, 9, 9], [], [], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7, 9], [10, 10, 10, 10]]
[[4, 9, 9, 9, 9], [], [10, 10, 10, 10], [10, 10, 10, 10], [], [10, 10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8, 9], [7, 7, 9, 9], [7, 7, 7, 7, 10], [6, 6, 6, 6, 8, 8], [8, 8, 8, 8, 9]]
[[4, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10], [], [7, 7, 7, 7, 7], [7, 10, 10, 10], [8, 10, 10, 10], [8, 8, 8, 10], [5, 5, 5, 5, 8, 8], [8, 8]]
[[4, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8], [9, 9, 9, 9], [10, 10, 10], [6, 6, 6, 6], [], [7, 10], [8, 8, 8, 9], [10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8], [10, 10, 10]]
[[4, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6], [7, 7, 9, 9], [], [10, 10, 10], [10, 10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 10], [5, 5, 5, 5, 7], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9]]
[[5, 5, 10, 10], [], [8, 8, 8, 8], [9, 9, 9], [7, 7], [9, 9, 9], [5, 5, 9, 9], [6, 6, 6, 6], [8], [10, 10, 10], [4, 8, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], []]
[[4, 10, 10], [], [10, 10], [5, 5, 5, 5], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [7, 7, 7, 7], [9, 9, 10], [9, 9, 9], [9, 9, 9], [8, 8, 8], [7, 7], [8, 8, 8], [8, 10, 10]]
[[4, 8, 8, 8], [9, 9], [7, 7, 7, 7], [10, 10], [9, 9, 9], [], [9, 9, 9], [], [7, 10, 10], [8, 8, 10], [10, 10], [5, 5, 5, 5, 7], [10, 10], [8, 8, 8], [6, 6, 6, 6], [8, 8], [10, 10], [10, 10]]
[[8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [], [9, 9], [10, 10], [9, 9], [8, 10], [4, 7, 7, 7], [9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5]]
[[8, 8, 8], [8, 8, 8], [8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [7, 7, 7], [10, 10], [9, 9], [4, 10, 10], [9, 10], [9], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[8, 8, 8], [7, 7, 7], [10, 10], [], [10, 10], [9, 9], [10, 10], [8], [10], [4, 5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [10, 10], [9, 9]]
[[4, 8, 8], [8, 8], [8, 8], [10, 10], [], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8], [7, 10], [7, 10], [7, 10], [9, 9], [10, 10], [9, 9], [10, 10], [5, 5, 5, 5], [6, 8, 8], [], [6, 6, 6], [7, 7, 7]]
[[4, 10], [9, 9], [9, 9], [], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [], [7, 7, 7], [8, 8], [8, 8], [9, 9], [6, 6, 6], [7, 7, 7], [], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [6, 8, 8]]
[[4, 8, 8], [10], [9, 9], [10, 10], [9, 9], [6], [8, 8], [9, 9], [10, 10], [10, 10], [10, 10], [], [10, 10], [], [6, 6, 6], [8, 8], [5, 5, 5, 5], [9, 9], [7, 7, 7], [], [8, 8], [7, 7, 7], [10, 10], [8, 8]]
[[8, 8], [9, 9], [9, 10], [10, 10], [6], [10, 10], [9, 9], [9, 9], [10, 10], [10, 10], [7, 7], [4, 9], [6, 6, 6], [8, 8], [], [], [7, 7], [], [8, 8], [8, 8], [5, 5, 5, 5], [10, 10], [7, 7], [10, 10], [8, 8]]
[[4, 8, 8], [10], [], [10, 10], [], [5, 5, 5, 5], [9, 9], [7, 7], [6, 6, 6], [], [10, 10], [9, 9], [7, 7], [8, 8], [10, 10], [10, 10], [], [9, 9], [8, 8], [10, 10], [6, 7, 7], [], [9, 9], [8, 8], [8, 8], [10, 10]]
[[8, 8], [4, 10], [10], [10], [8, 8], [5, 10], [9, 9], [7, 10], [7, 7], [10], [10], [6, 10], [8, 8], [9, 9], [], [6, 6, 6], [8, 8], [5, 5, 5], [7, 7], [9, 9], [10], [7, 10], [10], [10], [10], [9, 9], [8, 8]]
[[8, 8], [4, 10], [8, 8], [], [10], [], [5, 5, 5], [7, 7], [10], [6, 6, 6], [9, 9], [10], [10], [10], [10], [8, 8], [10], [9, 9], [7, 10], [6, 10], [10], [9, 9], [7, 10], [5, 10], [9, 9], [7, 7], [8, 8], [8, 8]]
[[7, 10], [8, 8], [8, 8], [4, 9], [8], [9], [7, 10], [8, 9], [9], [9], [5, 10], [7, 10], [10], [5, 5, 5], [9], [10], [10], [7, 10], [8, 8], [8, 8], [6, 6], [6, 6], [9], [9], [7, 10], [10], [10], [7, 10], [10]]
[[8, 8], [7, 9], [6, 6], [6, 10], [7, 10], [10], [9], [10], [5, 5, 5], [10], [7, 9], [8, 8], [10], [10], [7, 10], [9], [9], [], [9], [10], [6, 10], [10], [8, 8], [5, 10], [7, 7], [4, 9], [9], [10], [8, 8], [8, 8]]
[[4, 10], [6, 10], [8, 8], [10], [8, 8], [5], [10], [6, 9], [6, 10], [9], [9], [10], [9], [8, 8], [10], [9], [10], [9], [10], [10], [8, 8], [9], [10], [8, 8], [7, 7], [10], [6, 10], [7, 7], [5, 5, 5], [7, 7], [9]]
[[8, 8], [8, 8], [6, 10], [4, 10], [7, 9], [10], [5, 5, 5], [9], [], [10], [8, 8], [9], [10], [10], [10], [8], [10], [10], [5, 9], [10], [10], [10], [6, 6], [8, 8], [9], [10], [7, 7], [7, 9], [7, 7], [8], [6, 9], [9]]
[[8, 8], [6, 10], [7, 9], [4, 10], [10], [10], [9], [10], [6, 10], [9], [8], [8], [9], [9], [10], [10], [8], [8], [5, 10], [10], [10], [7, 7], [5, 5, 5], [7, 9], [10], [7, 7], [9], [8], [10], [6, 6], [8], [9], [8, 8]]
[[4, 10], [10], [10], [8], [10], [7, 7], [7, 7], [10], [6, 8], [10], [10], [10], [5, 9], [10], [8], [9], [5, 9], [5, 9], [6, 8], [9], [10], [7, 7], [10], [8], [9], [8], [6, 8], [6, 8], [8], [9], [5, 9], [8], [10], [10]]
[[10], [5, 8], [7, 7], [6, 8], [5, 9], [8], [6, 8], [10], [8], [9], [10], [9], [6, 6], [4, 10], [9], [7, 7], [10], [7, 7], [10], [5, 9], [10], [8], [9], [10], [5, 9], [10], [9], [10], [10], [8], [8], [8], [10], [8], [10]]
[[4, 9], [6, 8], [5, 9], [5, 8], [7, 7], [10], [5, 5], [9], [8], [10], [10], [10], [8], [10], [10], [9], [6, 8], [7, 7], [6, 8], [9], [10], [], [10], [8], [6, 8], [10], [10], [10], [8], [7, 7], [10], [10], [8], [9], [9], [9]]
[[4, 7], [7, 7], [10], [10], [6, 8], [7, 7], [10], [10], [8], [9], [5, 9], [10], [6, 8], [6, 8], [], [6, 8], [8], [8], [9], [10], [10], [9], [10], [9], [8], [10], [10], [10], [5, 5], [9], [9], [8], [9], [8], [5, 7], [10], [10]]
[[7], [9], [9], [10], [10], [8], [9], [5, 8], [9], [5, 5], [10], [10], [10], [8], [9], [10], [10], [10], [10], [10], [6, 7], [9], [9], [5, 8], [9], [7], [8], [10], [6, 7], [6, 7], [8], [8], [8], [8], [6, 7], [10], [10], [4, 8]]
[[4, 9], [10], [8], [8], [8], [9], [10], [5, 7], [10], [6, 7], [9], [8], [5, 7], [9], [10], [6, 7], [9], [9], [7], [10], [10], [9], [10], [10], [6, 6], [8], [7], [10], [10], [5, 5], [8], [9], [10], [10], [10], [8], [8], [8], [8]]
[[6, 7], [10], [5, 7], [5, 7], [10], [6, 7], [10], [5, 8], [10], [8], [10], [9], [9], [10], [10], [10], [8], [5, 8], [10], [8], [8], [8], [9], [9], [9], [10], [8], [9], [8], [6], [7], [10], [], [10], [6], [7], [9], [8], [10], [4, 9]]
[[7], [], [], [5, 5], [10], [5, 8], [6, 7], [8], [10], [6, 6], [9], [7], [10], [10], [10], [10], [8], [10], [9], [10], [10], [10], [8], [8], [9], [9], [5, 7], [10], [9], [9], [8], [8], [8], [9], [10], [9], [10], [6, 7], [7], [8], [4, 8]]
[[4, 8], [8], [8], [8], [6, 6], [9], [10], [8], [8], [9], [8], [10], [10], [5, 7], [9], [10], [8], [10], [10], [8], [9], [10], [5, 7], [], [9], [10], [9], [10], [9], [10], [10], [8], [5, 7], [10], [5, 7], [7], [9], [], [10], [], [7], [6, 6]]
[[7], [6, 6], [6], [8], [8], [5, 7], [9], [10], [9], [10], [10], [10], [10], [10], [10], [10], [10], [10], [10], [9], [8], [8], [4, 7], [9], [], [8], [10], [10], [8], [9], [9], [9], [9], [5, 7], [8], [6], [], [7], [8], [5, 5], [7], [8], [8]]
[[9], [9], [4, 7], [5], [], [10], [10], [8], [10], [8], [10], [8], [10], [8], [10], [10], [10], [8], [10], [8], [5, 7], [10], [10], [9], [9], [5, 7], [8], [7], [10], [8], [5, 7], [10], [9], [8], [], [8], [7], [6, 6], [9], [9], [], [9], [], [6, 6]]
[[6, 6], [9], [10], [5, 7], [10], [4, 8], [8], [10], [10], [8], [9], [10], [10], [10], [9], [10], [10], [8], [5, 7], [9], [7], [9], [6], [8], [8], [10], [], [8], [8], [8], [8], [], [5, 5], [10], [7], [9], [], [9], [10], [], [7], [6], [7], [10], [9]]
[[6, 6], [10], [4], [10], [7], [], [8], [10], [], [10], [9], [8], [10], [8], [10], [10], [10], [8], [8], [10], [10], [10], [8], [9], [9], [10], [10], [8], [9], [5, 7], [8], [9], [9], [8], [9], [8], [], [7], [7], [5, 5], [7], [], [9], [6, 6], [7], [5]]
[[], [10], [10], [7], [10], [4, 6], [10], [10], [8], [7], [10], [9], [10], [10], [7], [9], [8], [8], [10], [8], [10], [], [9], [7], [8], [8], [8], [10], [10], [8], [9], [], [6], [10], [9], [8], [8], [5, 5], [6], [6], [9], [9], [], [9], [7], [7], [5, 5]]
-EndAllocation

Instance: [[1], [371], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [248, 165, 124, 100, 82, 70, 62, 56, 50, 45, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [186, 124, 93, 75, 62, 53, 47, 42, 38, 34, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7, 7]]
[[6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 10], [7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [], [8, 8, 8, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6], [10, 10, 10, 10, 10], [9], [6, 6, 6, 6, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[7, 10], [8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 10, 10, 10], []]
[[7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [9, 9], [10, 10, 10, 10, 10], [10], [10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 9, 9], [], [8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[9, 9, 9, 9], [7, 7], [10, 10, 10, 10], [7, 7, 7, 7, 7], [], [8, 10, 10, 10], [5, 5, 5, 5, 5], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [], [7, 7, 7, 7, 10], [7, 8, 10, 10], [7, 8, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 5, 8], [7]]
[[9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6], [], [7, 7], [8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 5], [8, 8, 8, 8], [10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 7, 9], [6], [10, 10, 10], [10, 10], [8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8, 8], [], [9, 9, 9]]
[[8, 8, 8, 8], [], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 5, 7], [6], [7, 7, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10], [7, 7, 7, 7], [10, 10, 10], []]
[[10, 10], [], [10, 10], [5, 5, 5, 5, 5], [8, 8, 8], [10, 10], [6, 6, 10], [6, 6, 6, 6], [10, 10], [7, 9, 9], [7, 7, 7, 7], [8, 8, 9], [8, 9, 9], [8, 8, 10], [7, 7, 10], [9, 9], [8, 8, 8]]
[[8, 8, 8], [9, 9, 9], [7, 7], [10, 10], [9, 10], [], [9, 9, 9], [7, 7], [6, 6, 7, 7], [8, 8, 8], [7, 10, 10], [5, 5, 5, 5, 5], [10, 10], [8, 8], [6, 6, 6, 6], [8, 8, 8], [10, 10], [10, 10]]
[[8, 8, 8], [6, 6, 6, 6], [], [10, 10], [], [10, 10], [6, 6, 9], [9, 9], [8, 8, 8], [7, 7, 7], [7, 9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 10], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5, 5]]
[[8, 8, 8], [6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5, 5], [7, 7, 7], [8, 10], [7, 9], [10, 10], [9, 9], [8], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[5, 5, 8], [7, 7, 7], [10, 10], [6, 6], [10, 10], [9], [], [8, 8, 8], [7, 10], [5, 5, 5, 8], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [10, 10], [9, 9]]
[[5, 8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [9, 9], [9], [6, 6, 6], [10, 10], [8, 8], [9, 9], [7, 7, 7], [10, 10], [9, 9], [10, 10], [7], [10, 10], [5, 5, 5, 5], [8], [10], [6, 6, 6], [7, 7, 7]]
[[5, 8], [9, 9], [9, 9], [8, 8], [7, 9], [], [6, 6, 6], [8, 8], [10, 10], [], [7, 7, 7], [8, 8], [8, 8], [10, 10], [6, 6, 6], [8, 8], [10], [9, 9], [10, 10], [5, 5, 5, 5], [10, 10], [10, 10], [7, 7, 7]]
[[5, 10], [6, 7, 7], [8, 8], [6, 6, 6], [10, 10], [10, 10], [10, 10], [6, 6, 7], [7], [5, 5, 5, 5], [9], [10, 10], [8], [], [9, 9], [9, 9], [9, 9], [], [8, 8], [7, 7, 7], [8, 8], [8, 8], [10, 10], [8, 8]]
[[8, 8], [5, 7], [], [7, 7], [8], [10, 10], [9, 9], [9, 9], [6, 6, 6], [10, 10], [8, 8], [8, 8], [10, 10], [7, 7], [], [], [6, 6, 6], [10, 10], [9, 9], [8, 8], [5, 5, 5, 5], [10, 10], [7, 7], [9, 10], [8, 8]]
[[8, 8], [5, 7, 8], [], [10, 10], [10, 10], [5, 5, 5, 5], [10], [7, 7], [6, 6, 6], [], [8, 8], [9], [7, 7], [8, 8], [10, 10], [10, 10], [], [7, 7], [9, 9], [], [8, 8], [9, 9], [10, 10], [6, 6, 6], [9, 9], [8, 8]]
[[7, 8], [8, 10], [5, 5, 6], [6, 10], [8, 8], [8, 10], [6, 9], [6, 10], [7, 7], [6], [8, 10], [10], [8, 8], [9, 9], [], [6], [8, 10], [5, 5, 5], [7, 7], [9, 9], [10], [7, 7], [10], [10], [10], [9, 9], [8, 8]]
[[7, 8], [8, 8], [8, 8], [], [8, 10], [10], [10], [10], [10], [5, 5, 5], [8, 10], [], [8, 10], [10], [7, 7], [9], [10], [8, 10], [6, 6, 6], [5, 5], [10], [9, 9], [7, 7], [9, 9], [6, 6, 6], [7, 7], [9, 9], [8, 8]]
[[7, 10], [8, 8], [8, 8], [8, 9], [8, 8], [10], [10], [10], [9], [7, 7], [10], [5, 5], [9], [5, 5, 5], [7, 10], [10], [6, 9], [7, 7], [7, 9], [8, 8], [6, 6], [6, 6], [9], [10], [10], [10], [9], [6, 10], [8, 8]]
[[8, 9], [6, 6], [5, 9], [6, 10], [7, 10], [7, 10], [6, 9], [7, 7], [8, 8], [7, 9], [10], [8, 8], [10], [10], [7, 9], [10], [10], [10], [9], [], [6, 6], [9], [8, 8], [5, 10], [7, 10], [5, 5, 5], [], [], [8, 8], [8, 8]]
[[7, 8], [5, 9], [8, 8], [5, 10], [10], [10], [10], [8, 8], [10], [6, 9], [6, 6], [5, 9], [10], [10], [5, 10], [], [9], [9], [7, 7], [7, 7], [7, 7], [10], [8, 8], [10], [8, 8], [], [5, 9], [9], [6, 6], [6, 10], [8, 8]]
[[8, 8], [7, 8], [9], [7, 7], [7, 7], [10], [10], [10], [5, 5], [8, 8], [6, 6], [10], [], [10], [10], [10], [7, 9], [6, 6], [9], [5, 5, 5], [6, 6], [7, 9], [8, 8], [9], [10], [10], [10], [9], [8, 8], [8, 8], [9], [10]]
[[7, 8], [8, 8], [5, 10], [9], [9], [8, 8], [10], [9], [6, 6], [9], [10], [8, 8], [6, 6], [10], [10], [], [10], [9], [10], [], [10], [7, 7], [5, 5, 5], [10], [7, 7], [8, 8], [6, 10], [6, 9], [5, 9], [7, 7], [], [10], [8, 8]]
[[10], [6, 8], [10], [10], [5, 7], [5, 9], [10], [8], [9], [8], [10], [10], [6, 8], [10], [10], [7, 7], [9], [6, 6], [7, 7], [6, 8], [10], [9], [9], [8], [5, 9], [10], [5, 9], [6, 8], [10], [7, 7], [8], [5, 8], [8], [8]]
[[6, 8], [5, 9], [5, 9], [8], [6, 8], [10], [5, 9], [6, 8], [10], [9], [10], [10], [6, 8], [5, 9], [10], [5, 9], [10], [9], [8], [8], [7, 7], [6, 6], [10], [8], [7, 7], [7, 7], [10], [10], [10], [7], [], [8], [10], [8], [8]]
[[6, 8], [9], [8], [8], [10], [9], [10], [10], [7, 7], [7], [10], [10], [8], [8], [10], [8], [5, 9], [5, 8], [7, 7], [9], [5, 5], [10], [6, 6], [10], [8], [6, 6], [8], [9], [9], [6, 8], [10], [10], [9], [10], [7, 7], [5, 8]]
[[], [10], [9], [8], [10], [5, 9], [8], [7, 7], [10], [6, 6], [6, 8], [10], [10], [10], [10], [5, 9], [10], [5, 9], [6, 8], [10], [10], [8], [6, 6], [9], [8], [8], [10], [7], [8], [7], [9], [7], [8], [8], [5, 8], [7, 7], [5, 9]]
[[10], [5, 5], [8], [8], [9], [9], [5, 8], [8], [10], [6, 7], [5, 8], [6, 7], [6, 7], [10], [10], [10], [10], [6, 7], [8], [9], [9], [9], [6, 7], [5, 8], [], [8], [10], [8], [9], [8], [10], [10], [7], [9], [10], [6, 7], [8], [10]]
[[7], [], [10], [8], [8], [10], [10], [9], [9], [10], [6, 7], [5, 8], [10], [5, 8], [6, 7], [5, 5], [5, 8], [8], [6, 7], [8], [6, 7], [9], [10], [9], [8], [9], [8], [6, 7], [10], [9], [], [9], [10], [10], [8], [10], [10], [8], [6, 7]]
[[10], [5, 8], [5, 5], [8], [7], [6, 7], [7], [5, 8], [6, 6], [10], [9], [10], [10], [7], [8], [8], [8], [5, 8], [7], [9], [9], [10], [9], [9], [8], [8], [10], [10], [10], [8], [10], [10], [9], [7], [], [10], [8], [9], [6, 6], [6, 7]]
[[5, 7], [10], [8], [8], [9], [10], [7], [10], [10], [5, 5], [6, 6], [10], [8], [9], [9], [10], [8], [7], [10], [10], [10], [8], [6, 6], [10], [8], [8], [8], [7], [9], [8], [7], [6, 6], [8], [8], [9], [9], [10], [7], [7], [5, 5], [9]]
[[5, 5], [5, 7], [9], [8], [7], [6, 6], [10], [8], [8], [8], [9], [10], [8], [5, 7], [10], [9], [8], [10], [6, 6], [10], [10], [10], [8], [9], [10], [8], [8], [10], [8], [10], [7], [9], [7], [5, 7], [7], [6], [8], [10], [6], [], [9], [9]]
[[8], [10], [9], [5, 7], [10], [8], [10], [8], [9], [8], [9], [8], [9], [9], [9], [9], [10], [7], [10], [8], [8], [7], [10], [7], [7], [10], [10], [5, 5], [6, 6], [8], [10], [6], [5, 5], [8], [6], [7], [8], [7], [10], [], [6, 6], [8], [10]]
[[10], [10], [7], [8], [7], [7], [8], [8], [10], [9], [], [6, 6], [9], [6, 6], [7], [8], [10], [9], [10], [8], [10], [], [8], [10], [9], [7], [8], [5, 5], [], [8], [10], [10], [9], [6, 6], [10], [8], [10], [8], [8], [9], [5, 5], [9], [7], [5, 7]]
[[9], [8], [8], [8], [5, 7], [8], [10], [], [8], [], [9], [8], [6, 6], [5, 5], [8], [7], [], [9], [10], [10], [5, 5], [8], [8], [], [10], [9], [8], [10], [9], [7], [9], [7], [10], [10], [7], [7], [10], [10], [10], [9], [6, 6], [7], [10], [6, 6], [8]]
[[9], [], [8], [8], [8], [5, 7], [10], [10], [8], [9], [10], [5, 7], [10], [10], [10], [9], [10], [9], [8], [10], [10], [10], [8], [5, 7], [10], [7], [9], [9], [6, 6], [8], [8], [7], [8], [], [7], [8], [], [], [9], [7], [6, 6], [], [], [6, 6], [5, 5], [8]]
[[10], [8], [5], [10], [9], [6], [8], [8], [10], [10], [10], [10], [7], [7], [9], [9], [9], [9], [8], [8], [10], [6], [10], [10], [8], [6], [8], [8], [8], [6], [], [6], [9], [10], [8], [9], [7], [5, 5], [8], [6], [5, 5], [7], [7], [7], [7], [10], []]
-EndAllocation

Instance: [[1], [370], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [246, 165, 124, 98, 82, 70, 62, 56, 49, 45, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [185, 124, 93, 74, 62, 53, 47, 42, 37, 34, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 9, 9]]
[[5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8]]
[[5, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8, 10, 10, 10]]
[[5, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 8, 8, 8, 8, 10], [9, 10]]
[[5, 9, 9, 9, 9, 9, 9], [9, 9], [6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [], [6, 6, 8, 8, 8, 8, 8, 10], [10, 10, 10, 10, 10, 10]]
[[5, 7, 7, 7, 7, 7, 7, 8], [5, 5, 5, 5, 5, 8, 8, 8], [9, 9, 9, 9, 9, 9], [8], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [9, 9]]
[[6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 10, 10], [], [8, 8, 8, 8, 8, 8], [5, 9, 9, 9], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[5, 5, 5, 5, 5, 5, 8], [9, 9, 9, 10], [10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10], [10, 10, 10, 10], [8, 10, 10, 10], [7, 7, 7, 7, 7, 7], []]
[[5, 9, 9, 9, 9], [], [10, 10, 10, 10], [10, 10, 10, 10], [], [8, 8, 10, 10], [5, 5, 5, 5, 5, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6], [8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10], [5, 5, 5, 5, 5, 7], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], []]
[[5, 8, 8, 8], [7, 7, 7, 7, 7], [9, 9, 9, 9], [], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [], [7, 8, 10], [8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 5], [8, 8, 8, 8], [6, 6, 6, 6, 6]]
[[5, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9], [9, 9, 10], [10, 10, 10], [7, 7, 10], [8, 8, 8, 8], [8, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8, 8], [], []]
[[5, 8, 8, 8], [], [8, 8, 8, 8], [9, 9], [7, 7], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [8], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10], [7, 7, 7, 7], [10, 10, 10], [5, 5, 5, 5, 5]]
[[5, 9, 10], [10], [10, 10], [7, 7], [8, 8, 8], [], [10, 10], [6, 6, 6, 6], [8, 10, 10], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 9], [8, 8, 8], [6, 10, 10], [8, 8, 8], [5, 5, 5, 5, 5]]
[[5, 6, 8, 8], [9, 9], [7, 7], [10, 10], [9, 9, 9], [5, 5, 5, 5, 5], [9, 9, 9], [], [8], [8, 8, 8], [10, 10], [7, 7, 7, 7], [10, 10], [8, 8, 8], [6, 6, 6, 6], [8, 8, 8], [10, 10], [10, 10]]
[[5, 8, 8], [7, 7, 7], [], [5, 5, 5, 5, 5], [], [6, 10, 10], [9, 9], [8, 9, 9], [8, 8, 8], [10, 10], [9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5, 5], [7, 7, 7], [6], [5, 9, 9], [10, 10], [9, 9], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[5, 8, 8], [7, 7, 7], [10, 10], [], [10, 10], [9, 9], [], [8, 8, 8], [8], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [6, 9, 9], [], [7, 7, 7], [9, 9], [10, 10], [5, 9, 9]]
[[5, 8, 8], [8, 8], [8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [6, 6, 6], [10, 10], [6, 8, 8], [9, 9], [7, 7, 7], [], [9, 9], [10, 10], [], [10, 10], [5, 5, 5, 5], [8, 8], [10, 10], [5, 6], [7, 7, 7]]
[[5, 8, 8], [8, 8], [7, 7, 7], [5, 5, 5, 5], [10, 10], [10, 10], [6, 6, 6], [], [], [10, 10], [8, 8], [9, 9], [8, 8], [10, 10], [6], [7, 7, 7], [], [6, 8, 8], [10, 10], [9, 9], [9, 9], [9, 9], [5, 8, 8]]
[[5, 5, 8], [7, 7, 7], [6, 6, 6], [10, 10], [10, 10], [6, 6, 8], [9, 9], [8, 8], [], [5, 5, 5, 5], [9, 9], [10, 10], [], [8, 8], [], [8, 8], [9, 9], [9, 9], [7, 7, 7], [], [8, 8], [10, 10], [10, 10], [8, 8]]
[[5, 7, 7], [8, 8], [8, 8], [], [8, 8], [10, 10], [], [8, 8], [10, 10], [10, 10], [7, 7], [8, 8], [5, 5, 5, 5], [], [9, 9], [5], [9, 9], [10, 10], [6, 6], [7, 7], [9, 9], [10, 10], [6, 6, 6], [9, 9], [8, 8]]
[[5, 7, 8], [8, 8], [5], [10, 10], [], [5, 5, 5, 5], [7, 7], [7, 7], [], [], [8, 8], [10, 10], [8, 8], [8, 8], [9, 9], [8], [7, 8], [10, 10], [9, 9], [6, 6, 8], [10, 10], [9, 9], [10, 10], [], [9, 9], [6, 6, 6]]
[[5, 8], [10], [9], [8, 10], [8, 8], [10], [6, 6], [10], [8, 8], [10], [5, 5, 5], [7, 7], [8, 8], [9, 9], [10], [6, 6, 6], [8, 10], [9, 9], [7, 7], [5, 5], [7, 7], [10], [10], [10], [9, 9], [8, 9], [8, 8]]
[[5, 8], [8, 8], [8, 8], [9, 9], [7, 7], [10], [7, 10], [10], [9, 9], [8, 8], [], [10], [8, 8], [10], [], [10], [10], [9, 9], [5, 5, 7], [6, 6], [10], [9, 9], [10], [5, 5, 5], [6, 6, 6], [7, 8], [7, 10], [8, 8]]
[[6, 10], [8, 8], [8, 8], [9], [7, 10], [10], [9], [9], [7, 10], [8, 8], [10], [5, 9], [10], [6, 6], [9], [9], [8, 8], [], [6, 6], [7, 7], [5, 10], [5, 5, 5], [7, 7], [8, 9], [10], [5, 10], [8, 8], [10], [8, 9]]
[[8, 8], [8, 8], [7, 7], [10], [10], [6, 10], [10], [9], [10], [9], [9], [7, 7], [8, 8], [10], [10], [10], [9], [6, 6], [], [8, 8], [5, 5, 5], [7, 10], [8, 9], [10], [6, 6], [9], [5, 9], [8, 9], [5, 5, 7], [8, 8]]
[[6, 6], [8, 8], [10], [], [8, 8], [9], [9], [10], [5, 5], [9], [9], [8, 8], [5, 10], [7, 7], [7, 7], [10], [10], [10], [10], [10], [6, 10], [8, 8], [7, 9], [10], [9], [9], [8, 8], [7, 9], [5, 5, 5], [6, 6], [8, 8]]
[[8, 8], [8, 8], [5, 9], [7, 9], [5, 5, 5], [9], [10], [7, 7], [5, 10], [8, 8], [9], [6, 10], [10], [7, 7], [], [], [10], [], [6, 6], [10], [9], [10], [6, 6], [10], [9], [9], [10], [5, 10], [8, 8], [8, 8], [7, 9], [8, 8]]
[[5, 8], [9], [9], [9], [9], [6, 10], [10], [9], [7, 7], [10], [], [6, 6], [7, 7], [9], [10], [10], [7, 7], [10], [10], [], [], [8, 8], [5, 10], [8, 8], [10], [8, 8], [6, 10], [5, 5, 5], [8], [5, 9], [6, 9], [8, 8], [8, 8]]
[[5, 9], [8], [10], [6, 8], [6, 8], [9], [5, 8], [8], [7, 7], [10], [5, 8], [8], [8], [10], [9], [9], [10], [7, 7], [8], [10], [7, 7], [10], [5, 9], [6, 6], [8], [9], [5, 8], [9], [5, 9], [10], [10], [10], [10], [6, 8]]
[[10], [9], [8], [9], [5, 6], [10], [5, 9], [8], [6, 8], [10], [10], [10], [6, 6], [7, 7], [7, 7], [8], [9], [9], [10], [10], [5, 8], [5, 9], [10], [9], [10], [5, 8], [10], [7, 7], [8], [8], [9], [5, 8], [8], [8], [6, 8]]
[[5, 9], [5, 8], [9], [6, 8], [6, 6], [8], [10], [10], [7, 7], [8], [8], [8], [8], [10], [10], [7, 7], [10], [8], [6, 6], [5, 8], [8], [7, 7], [5, 8], [10], [9], [5, 9], [5, 9], [8], [9], [10], [10], [10], [9], [10], [9], []]
[[5, 8], [9], [10], [5, 7], [5, 8], [8], [10], [8], [8], [8], [10], [10], [6, 7], [10], [9], [10], [9], [7], [6, 6], [9], [10], [8], [8], [9], [9], [10], [9], [10], [9], [6, 7], [10], [8], [5, 8], [8], [5, 7], [6, 7], [5, 8]]
[[5, 8], [10], [5, 8], [9], [10], [9], [7], [8], [10], [9], [6, 7], [6, 7], [6, 6], [10], [5, 7], [8], [8], [10], [8], [10], [10], [8], [9], [5, 7], [9], [9], [8], [9], [6, 7], [8], [10], [8], [8], [10], [10], [5, 5], [9], [8]]
[[10], [10], [8], [9], [9], [8], [7], [10], [8], [6, 7], [9], [10], [8], [8], [8], [10], [8], [10], [8], [8], [9], [9], [7], [10], [6, 6], [7], [9], [10], [5, 5], [5, 5], [6, 7], [10], [8], [9], [5, 8], [6, 7], [9], [10], [5, 8]]
[[5, 8], [9], [8], [10], [8], [8], [8], [10], [5, 5], [8], [7], [10], [10], [5, 5], [9], [9], [8], [6, 6], [10], [10], [8], [9], [10], [8], [10], [9], [7], [10], [8], [6, 7], [7], [7], [7], [9], [8], [10], [9], [9], [6, 6], [5, 8]]
[[9], [10], [8], [6, 7], [8], [9], [9], [7], [7], [8], [6, 6], [9], [10], [8], [5, 8], [7], [9], [], [], [10], [9], [10], [5, 5], [10], [10], [10], [6, 6], [10], [10], [10], [7], [8], [9], [5, 8], [8], [8], [8], [9], [8], [5, 8], [5, 7]]
[[8], [8], [9], [8], [10], [10], [9], [], [6, 6], [9], [9], [8], [10], [8], [9], [8], [8], [9], [7], [6, 6], [9], [7], [10], [10], [5, 5], [], [10], [10], [10], [7], [5, 7], [5, 6], [10], [8], [8], [8], [5, 7], [8], [5, 7], [10], [9], [8]]
[[8], [8], [8], [8], [7], [7], [9], [5, 5], [7], [8], [9], [9], [8], [5, 5], [8], [], [], [8], [9], [10], [8], [10], [5, 7], [10], [7], [6, 6], [8], [6], [10], [9], [8], [10], [6, 6], [9], [8], [10], [9], [10], [10], [10], [9], [10], [5, 7]]
[[5, 7], [8], [8], [8], [8], [8], [10], [8], [], [8], [8], [8], [10], [], [7], [8], [10], [9], [10], [9], [10], [5, 5], [8], [10], [9], [5, 7], [8], [], [], [9], [10], [6, 6], [7], [10], [10], [7], [5, 6], [9], [10], [9], [9], [9], [5, 7], [6, 6]]
[[9], [8], [8], [8], [8], [8], [10], [6], [], [9], [5, 5], [8], [10], [6, 6], [9], [5], [10], [], [8], [5, 5], [6, 6], [10], [8], [7], [10], [9], [7], [], [7], [8], [10], [10], [7], [10], [7], [8], [10], [8], [9], [9], [10], [9], [9], [5, 7], [8]]
[[8], [8], [8], [7], [8], [], [], [10], [5, 7], [9], [10], [9], [7], [], [8], [9], [8], [8], [7], [], [8], [], [5, 5], [8], [6, 6], [9], [], [6, 6], [10], [10], [8], [10], [10], [8], [10], [10], [9], [5, 7], [5, 7], [8], [9], [9], [10], [10], [5, 6], [9]]
[[7], [8], [8], [8], [10], [6], [8], [8], [10], [10], [10], [6], [5, 5], [], [9], [5], [8], [], [8], [10], [9], [10], [10], [8], [7], [7], [9], [5, 5], [8], [7], [10], [7], [7], [6], [5], [9], [10], [6], [8], [10], [8], [9], [9], [9], [6], [9], [8]]
-EndAllocation

Instance: [[1], [369], 47]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,47. UB Alg: [246, 164, 124, 98, 82, 70, 62, 54, 49, 45, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [185, 123, 93, 74, 62, 53, 47, 41, 37, 34, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,47:
-StartAllocation
[[5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 5, 6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [4, 5]]
[[10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10], [], [9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 9]]
[[4, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 8], [5]]
[[4, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5], [6, 6, 6, 6, 6, 6, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4, 5, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7], [8, 8, 8], [9, 9, 9, 10, 10], [10, 10, 10, 10, 10], []]
[[4, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [9, 9, 9, 9, 9], [5, 10, 10, 10, 10], [], [8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [10, 10, 10, 10], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], []]
[[4, 9, 9, 9, 9], [], [10, 10, 10, 10], [10, 10, 10, 10], [], [10, 10, 10, 10], [5, 7, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [9, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10], [], [7, 7, 7, 7, 7], [5, 9, 10, 10], [10, 10, 10], [8, 10, 10], [8, 8, 8, 8], [7]]
[[8, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10], [8], [9, 9, 9], [10, 10, 10], [10, 10, 10], [9], [7, 9, 9, 9], [4, 5, 8, 8, 8], [10, 10, 10], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6], [7, 7, 9, 9], [6], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [4, 7, 7, 7, 7], [5, 9, 9, 9], [9, 9, 9], [8, 9, 9], [], []]
[[8], [], [8, 8, 8, 8], [9, 9, 9], [6, 7, 7], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6, 6], [4, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [5]]
[[4, 8, 8, 8], [], [10, 10], [9, 9, 9], [], [9, 9, 10], [9, 10, 10], [6, 6, 6, 6], [7, 10, 10], [7, 7, 7, 7], [9, 9, 10], [9, 9, 10], [8, 8, 8], [8, 8, 8], [7, 10, 10], [10], [5, 6, 6]]
[[4, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [10, 10], [9, 9, 9], [], [9, 9, 9], [10, 10], [9, 10], [8, 8, 8], [10, 10], [7, 7, 10], [10, 10], [8, 8, 8], [6, 6, 6, 6], [], [5, 10, 10], [6, 6]]
[[8, 8, 8], [9, 9], [9], [5], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [8, 8, 8], [4, 9, 9], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [6, 6, 9]]
[[8, 8, 8], [8, 8, 8], [], [10, 10], [7, 7, 7], [5, 10, 10], [7, 7, 7], [6, 9, 9], [9, 9], [4, 10, 10], [6, 9, 9], [], [9, 9], [10, 10], [6, 6, 6, 6], [8, 8, 8], [], [10, 10], [9, 9], [10, 10]]
[[4, 9, 9], [7, 7, 7], [10, 10], [6, 6], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [], [7, 7, 7], [9, 9], [10, 10], [9, 9]]
[[4, 8], [8, 8], [8, 8], [10, 10], [8, 8], [9, 9], [9, 9], [6, 6, 6], [10, 10], [8, 8], [9, 9], [7, 7, 7], [10, 10], [10, 10], [10, 10], [9, 9], [10, 10], [5], [], [9, 9], [6, 6, 6], [7, 7, 7]]
[[4, 8, 8], [7, 7, 7], [9, 9], [10], [10, 10], [], [6, 6, 6], [10, 10], [6, 6, 6], [10, 10], [9, 9], [9, 9], [8, 8], [10, 10], [7, 7, 7], [8], [], [9, 9], [10, 10], [5, 9], [8, 8], [9, 10], [8, 8]]
[[4, 8, 8], [9], [8, 8], [10, 10], [10, 10], [], [9, 9], [9, 9], [10, 10], [6, 6, 6], [], [10, 10], [], [], [6, 6, 6], [8, 9], [9, 9], [9, 9], [7, 7, 7], [10, 10], [8, 8], [7, 7, 7], [10, 10], [5, 8, 8]]
[[4, 8], [5], [9, 9], [6, 6, 6], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [10, 10], [7, 7], [], [10, 10], [7, 7], [9, 9], [], [9, 9], [10, 10], [], [7, 7], [9, 9], [10, 10], [6, 6, 6], [9, 9], [8, 8]]
[[10, 10], [4], [], [10, 10], [8, 8], [], [], [6, 6, 6], [6, 6, 6], [10, 10], [7, 7], [9, 9], [5, 7, 7], [8], [10, 10], [10, 10], [], [9, 9], [8, 8], [9, 9], [7, 7], [8, 8], [9, 9], [10, 10], [9, 9], [8, 8]]
[[4, 5], [10], [9, 9], [10], [8, 8], [7, 10], [6, 6, 6], [10], [8], [7, 10], [10], [7, 7], [8, 8], [9, 9], [10], [6, 6, 6], [10], [8, 8], [7, 7], [9, 9], [10], [10], [9, 9], [10], [10], [9, 9], [8, 8]]
[[4, 8], [8, 8], [9, 9], [10], [7, 7], [10], [10], [10], [9], [9, 9], [7, 7], [10], [9, 9], [8, 10], [9], [10], [10], [10], [6, 6, 6], [10], [9, 9], [8, 8], [6, 6, 6], [8, 8], [10], [7, 7], [8, 10], [5]]
[[8, 9], [10], [9], [4, 7], [7, 7], [7, 10], [6, 10], [6, 6], [8, 9], [8, 9], [10], [10], [7, 7], [8, 9], [9], [10], [8, 9], [6, 6], [6, 10], [9], [10], [5, 8], [10], [10], [10], [8], [8, 9], [10], [8, 9]]
[[8, 8], [6, 10], [7, 7], [6, 10], [7, 10], [4, 10], [10], [10], [9], [9], [6, 9], [7, 9], [8, 9], [10], [8, 8], [10], [9], [9], [], [8, 8], [5, 9], [10], [10], [10], [6, 6], [6, 9], [10], [9], [7, 7], [8, 8]]
[[6, 10], [9], [9], [9], [10], [9], [10], [10], [10], [7, 9], [10], [7, 9], [6, 6], [7, 7], [7, 7], [9], [10], [10], [10], [8], [8, 8], [10], [9], [9], [10], [5, 10], [6, 9], [4, 6, 6], [8, 8], [8, 8], [8, 8]]
[[4, 9], [8], [6, 10], [8, 8], [9], [10], [9], [8, 8], [6, 9], [6, 10], [7, 7], [9], [10], [6, 10], [9], [10], [9], [5, 10], [9], [6, 10], [], [], [6, 9], [10], [10], [10], [10], [7, 7], [9], [8, 8], [7, 7], [8, 8]]
[[8, 8], [8], [9], [5, 9], [9], [10], [9], [9], [7, 7], [10], [9], [6, 6], [7, 7], [9], [10], [10], [7, 7], [10], [6, 6], [10], [9], [8, 8], [10], [10], [10], [9], [6, 6], [8, 8], [10], [10], [4, 10], [8, 8], [9]]
[[5, 8], [7, 7], [4, 10], [6, 8], [10], [10], [6, 8], [10], [9], [10], [9], [10], [7, 7], [8], [9], [10], [8], [9], [6, 8], [6, 8], [7, 7], [9], [9], [9], [9], [10], [10], [6, 8], [9], [10], [10], [6, 8], [10], [9]]
[[9], [9], [9], [6, 8], [6, 8], [8], [9], [9], [7, 7], [7, 7], [10], [10], [6, 6], [10], [8], [8], [9], [8], [10], [10], [6, 8], [9], [10], [6, 8], [10], [10], [10], [9], [7, 7], [10], [10], [5, 9], [9], [4, 8], [10]]
[[4, 8], [9], [7, 7], [6, 8], [8], [9], [9], [7, 7], [], [10], [10], [10], [10], [10], [10], [6, 8], [9], [5, 9], [9], [10], [9], [10], [8], [9], [10], [6, 6], [7, 7], [8], [8], [10], [10], [6, 8], [9], [6, 8], [9], [10]]
[[4, 8], [8], [8], [10], [9], [10], [10], [9], [8], [9], [10], [5, 8], [9], [10], [9], [10], [8], [9], [6, 7], [9], [10], [9], [6, 7], [6, 7], [9], [8], [8], [10], [10], [8], [10], [10], [6, 7], [10], [9], [6, 7], [6, 7]]
[[4, 7], [10], [7], [10], [8], [9], [6, 7], [9], [8], [10], [10], [6, 7], [10], [8], [6, 7], [10], [10], [10], [8], [9], [9], [9], [6, 6], [9], [9], [8], [8], [9], [10], [10], [10], [8], [9], [8], [6, 7], [10], [9], [5, 8]]
[[10], [5, 8], [6], [8], [10], [8], [8], [10], [8], [6, 7], [9], [7], [6, 7], [10], [9], [7], [8], [9], [8], [10], [10], [8], [10], [9], [9], [10], [9], [9], [10], [7], [6, 6], [10], [10], [10], [9], [9], [6, 7], [4, 9], [8]]
[[4, 8], [8], [8], [], [8], [6, 7], [9], [6, 6], [5, 7], [10], [8], [9], [10], [6, 6], [9], [10], [9], [10], [9], [10], [10], [10], [8], [6, 7], [10], [10], [8], [9], [7], [10], [8], [10], [8], [7], [9], [9], [9], [10], [9], [7]]
[[8], [4, 8], [8], [7], [10], [9], [8], [10], [10], [9], [10], [9], [9], [7], [8], [10], [6, 6], [6, 6], [10], [10], [9], [10], [6, 6], [], [7], [8], [7], [8], [10], [9], [7], [9], [10], [10], [5, 7], [8], [9], [9], [8], [10], [9]]
[[10], [10], [5, 7], [8], [8], [9], [8], [10], [7], [9], [9], [8], [10], [8], [9], [8], [7], [9], [], [9], [9], [6, 6], [10], [9], [10], [7], [6, 6], [10], [10], [10], [10], [9], [10], [8], [8], [7], [9], [6, 6], [10], [], [7], [4, 8]]
[[9], [], [8], [8], [8], [6, 6], [10], [7], [7], [7], [9], [9], [10], [5], [], [10], [9], [6, 6], [9], [10], [10], [10], [8], [10], [8], [10], [8], [6, 6], [9], [9], [10], [7], [9], [8], [9], [7], [8], [10], [10], [9], [8], [10], [4, 7]]
[[7], [8], [8], [8], [7], [8], [10], [], [8], [10], [9], [6, 6], [], [7], [10], [9], [9], [8], [10], [9], [7], [10], [10], [4], [10], [8], [9], [6, 6], [7], [9], [6, 6], [10], [], [9], [9], [10], [10], [10], [8], [9], [5, 7], [9], [10], [8]]
[[8], [8], [8], [7], [8], [9], [10], [], [8], [], [9], [8], [6, 6], [5], [8], [7], [], [9], [10], [10], [10], [7], [9], [9], [10], [10], [10], [], [9], [10], [9], [7], [10], [10], [9], [8], [10], [8], [6, 6], [9], [6, 6], [9], [7], [10], [4, 7]]
[[8], [8], [7], [8], [7], [6, 6], [9], [], [9], [9], [10], [9], [9], [], [10], [], [9], [6, 6], [], [10], [9], [8], [6, 6], [], [7], [8], [10], [7], [8], [8], [8], [10], [10], [8], [10], [10], [9], [7], [10], [9], [9], [10], [10], [10], [5], [4, 7]]
[[10], [9], [8], [8], [4, 6], [7], [8], [6], [9], [9], [9], [9], [9], [10], [10], [8], [9], [9], [8], [9], [5], [10], [10], [8], [6], [10], [], [10], [7], [7], [10], [6], [7], [10], [9], [], [6], [7], [8], [7], [8], [10], [10], [], [6], [10], [8]]
-EndAllocation

Instance: [[1], [384], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [256, 170, 128, 102, 85, 73, 64, 57, 52, 46, 42, 40, 37, 34, 32, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [192, 128, 96, 77, 64, 55, 48, 43, 39, 35, 32, 30, 28, 26, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 5, 5, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7]]
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10], [3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10], [7, 7, 7, 7, 7, 7], [3, 9, 9, 9, 9, 9, 9, 9]]
[[10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 8], [9, 9, 9, 9, 9, 9, 9], [3, 5, 5, 7, 7, 7, 7, 7, 7]]
[[10, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7, 7, 8, 8], [], [9, 9, 9, 9, 9, 9, 9], [3, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [8, 8, 8, 10], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [3, 7, 7, 7, 7, 7, 7]]
[[9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6, 9], [5, 5], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [3, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 9, 9], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[3, 10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [5, 5, 8, 10], [9, 9], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [6], [6, 6, 6, 6, 6, 6, 6]]
[[10, 10, 10, 10], [], [8], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [5, 9, 9, 9, 9], [10, 10, 10, 10], [3, 5, 6, 9, 9, 9], [10, 10, 10, 10]]
[[3, 8, 10], [9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7], [], [5, 5], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 7], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6], [], [], [6, 6, 10, 10], [5, 10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [7, 10, 10, 10], [3, 5, 10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10]]
[[8, 8, 8], [10, 10, 10], [7, 7], [10, 10, 10], [6, 6], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6, 6], [3, 9, 10], [5, 5], [8, 8, 8, 8], [10, 10, 10], [6, 9, 9, 9], [8, 8, 8, 8]]
[[10, 10, 10], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [], [], [10], [3, 7, 7, 7, 7], [6, 7, 7], [10, 10, 10], [8, 8, 8], [5, 5, 6, 6, 9], [8, 8, 8, 8], [10, 10, 10]]
[[3], [8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [5, 5, 8, 8], [6, 6, 6, 10], [9, 9, 9], [10, 10, 10], [7, 7], [8, 8, 8], [10, 10, 10], [8, 8, 8], [7, 7, 7, 7], [10, 10, 10], [9], [10, 10, 10], []]
[[8, 10, 10], [5, 5, 10], [8, 8, 8], [9, 9, 9], [10, 10], [6, 6, 6, 8], [10, 10], [8, 8, 10], [8, 9, 9], [3, 6, 10, 10], [7, 7, 7, 7], [9, 9], [8, 8, 8], [], [7, 7, 10], [10, 10], [], [6, 6, 6, 6]]
[[3, 8, 8, 8], [5, 5], [7, 7, 7, 7], [10, 10], [9, 9, 9], [10, 10], [10, 10], [10, 10], [7, 7, 10], [8, 8, 8], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9, 9], [6, 6, 6, 6], [], [10, 10], [8, 8], [9]]
[[8, 8, 8], [7, 7, 7], [9, 9], [5, 5, 10], [6, 6, 10], [8, 8, 8], [10], [9, 9], [10], [3, 6, 7, 8], [6, 10, 10], [9, 10], [8, 8, 10], [10], [10], [7, 7, 10], [9, 9], [6, 6, 6, 6], [8, 8, 10], [10]]
[[6, 6, 6, 6], [10, 10], [9], [9, 9], [9, 9], [8, 8, 8], [9, 9], [10, 10], [10, 10], [3, 7, 7, 7], [10, 10], [], [7, 7, 7], [8, 8, 8], [8, 8], [10, 10], [10], [5, 5], [8, 8, 8], [10, 10], [6, 6, 6, 6]]
[[3, 9], [6, 6, 9], [8, 8, 8], [10, 10], [5, 5, 8], [], [7, 7, 7], [], [], [10, 10], [8, 8, 8], [8, 8, 8], [9, 9], [10, 10], [6, 6, 9], [7, 7, 7], [10, 10], [9, 9], [10, 10], [6, 6, 6, 6], [10, 10], [8, 10]]
[[3], [9], [7, 7, 7], [10, 10], [10, 10], [8, 8], [9, 9], [6, 6, 6], [9, 9], [8], [7, 7, 7], [8, 8], [10, 10], [10, 10], [10, 10], [8, 8], [8, 8], [6, 6, 6], [6, 6], [5, 5, 10], [8, 8], [9, 9], [10, 10]]
[[10, 10], [3, 8], [8, 8], [9, 9], [8, 8], [8, 8], [6, 6, 6], [7, 7, 7], [10, 10], [10, 10], [5, 5], [], [9, 9], [], [7, 7, 7], [10, 10], [6, 6], [10, 10], [8, 8], [10, 10], [9, 10], [9, 9], [6, 6, 6], [8, 8]]
[[8, 8], [8, 8], [5, 5, 8], [8, 8], [], [], [8, 8], [6, 6, 9], [7, 7, 7], [8, 8], [10, 10], [10, 10], [], [6, 6, 6], [10, 10], [9, 9], [10], [10, 10], [10, 10], [9, 9], [9, 9], [6, 6, 6], [10, 10], [7, 7, 7], [3]]
[[7, 8], [3, 8], [6, 9], [5, 8], [9, 9], [8, 10], [8, 10], [7, 9], [8], [8, 10], [8, 10], [8, 10], [8], [9, 10], [6, 6], [7], [9], [], [9, 10], [5, 7, 7], [10, 10], [6, 6, 7], [6, 10], [10], [10, 10], [6, 6, 8]]
[[3, 10], [8, 8], [8], [8, 8], [9], [5, 5], [6, 6, 6], [9, 9], [10, 10], [8, 8], [10, 10], [6, 6, 6], [7, 7], [], [7, 7], [8, 8], [], [9, 9], [10, 10], [10, 10], [9, 9], [10, 10], [7, 7], [8, 8], [10, 10], [], [6, 6]]
[[6, 10], [6, 6, 6], [3, 6, 8], [8, 8], [10], [5, 10], [10], [6, 6, 6], [9, 9], [10], [9, 9], [10], [10], [5, 10], [8, 8], [9, 9], [], [10], [8, 8], [7, 10], [7, 7], [10], [10], [8, 8], [9], [8, 8], [7, 7], [7, 10]]
[[7, 7], [6, 6], [10], [8, 8], [8, 8], [10], [10], [9], [9, 9], [6, 6, 6], [8, 8], [7, 7], [8, 10], [6, 6, 6], [8, 10], [8, 10], [10], [7, 7], [10], [], [9, 9], [10], [10], [10], [9, 9], [10], [10], [8, 8], [3, 5, 5]]
[[8, 8], [3, 5, 9], [6, 6], [6, 9], [7, 7], [8, 8], [10], [8, 8], [8, 8], [8, 9], [10], [10], [7, 7], [10], [9], [9], [10], [5, 10], [10], [8, 8], [10], [10], [6, 10], [6, 6], [10], [10], [9], [6, 6], [7, 9], [7, 10]]
[[6, 9], [3, 9], [7, 10], [7, 10], [9], [9], [10], [10], [6, 10], [8], [8], [7, 10], [6, 10], [8], [10], [8, 8], [6, 6], [8, 8], [7, 10], [8, 8], [7, 7], [10], [10], [8], [10], [10], [6, 9], [6, 8], [9], [6, 9], [5, 5]]
[[3, 10], [6, 8], [5, 8], [6, 9], [7, 7], [5, 10], [10], [9], [8, 8], [10], [], [6, 6], [6, 6], [7, 7], [9], [10], [9], [10], [10], [10], [10], [7, 9], [8, 8], [10], [10], [9], [6, 10], [10], [8, 8], [8, 8], [7, 9], [6, 8]]
[[5, 10], [8, 8], [8, 8], [3, 10], [8, 8], [8, 8], [6, 6], [9], [10], [10], [10], [10], [6, 10], [10], [10], [9], [9], [8], [8, 8], [7, 7], [10], [9], [9], [10], [9], [], [9], [6, 10], [6, 6], [7, 7], [5, 10], [7, 7], [6, 6]]
[[3, 10], [8, 8], [8], [8, 8], [7, 7], [6, 6], [9], [10], [10], [6, 6], [9], [], [10], [10], [9], [9], [10], [10], [10], [7, 7], [10], [9], [6, 10], [9], [7, 7], [10], [10], [8, 8], [10], [8, 8], [9], [6, 6], [8, 8], [5, 5, 6]]
[[6, 8], [6, 7], [7, 7], [10], [6, 8], [9], [10], [6, 8], [6, 8], [10], [9], [10], [6, 8], [8], [10], [8], [8], [6, 8], [7], [10], [9], [8], [3, 9], [9], [6, 8], [10], [5, 9], [5, 9], [10], [10], [10], [7, 7], [10], [10], [10]]
[[3, 9], [9], [10], [10], [10], [8], [7, 7], [10], [9], [6, 8], [7, 7], [10], [10], [10], [6, 6], [8], [8], [6, 8], [10], [9], [10], [5, 5], [9], [7, 7], [9], [10], [8], [10], [6, 8], [9], [10], [10], [8], [6, 8], [6, 8], [6, 8]]
[[3, 8], [10], [5, 9], [8], [5, 8], [8], [10], [7, 7], [8], [10], [9], [10], [10], [8], [8], [9], [6, 6], [10], [8], [10], [10], [6, 6], [9], [10], [10], [10], [6, 6], [6, 8], [10], [7, 7], [9], [6, 8], [7, 7], [9], [10], [9], [8]]
[[3, 7], [9], [6, 6], [10], [9], [7, 7], [9], [9], [6, 8], [9], [6, 8], [7, 7], [10], [10], [9], [10], [8], [10], [6, 6], [10], [10], [8], [10], [10], [10], [6, 8], [8], [8], [7], [10], [8], [8], [8], [6, 8], [9], [10], [10], [5, 5]]
[[5, 8], [10], [5, 7], [10], [8], [6, 7], [9], [10], [8], [6, 7], [8], [8], [9], [6, 6], [6, 7], [3, 9], [8], [10], [10], [10], [8], [10], [10], [6], [9], [9], [9], [10], [8], [10], [6, 7], [8], [6, 7], [8], [9], [10], [8], [10], [10]]
[[5, 7], [9], [10], [5, 8], [6, 6], [8], [10], [10], [10], [10], [8], [10], [8], [10], [9], [8], [8], [8], [], [8], [9], [9], [6, 7], [8], [9], [8], [10], [10], [10], [10], [9], [6, 7], [10], [9], [6, 6], [6, 7], [10], [6, 7], [8], [3, 7]]
[[3, 8], [10], [6, 7], [10], [6, 7], [], [8], [8], [10], [10], [8], [10], [8], [8], [9], [10], [6, 7], [8], [9], [10], [10], [10], [9], [6, 6], [9], [9], [9], [8], [8], [6], [10], [9], [10], [10], [6, 7], [6, 7], [8], [10], [8], [5, 5], [7]]
[[5, 6], [6, 6], [10], [7], [10], [6, 6], [10], [8], [10], [], [10], [10], [10], [9], [10], [8], [9], [10], [7], [5, 8], [9], [7], [9], [8], [8], [8], [6, 7], [7], [8], [8], [8], [10], [9], [6, 6], [9], [10], [8], [7], [10], [9], [8], [3, 10]]
[[7], [5, 5], [10], [9], [8], [8], [7], [10], [9], [8], [8], [7], [10], [9], [], [10], [9], [8], [10], [10], [6, 6], [8], [6, 6], [10], [10], [6, 6], [10], [10], [8], [7], [10], [9], [10], [8], [8], [8], [8], [9], [10], [9], [6, 6], [7], [3, 7]]
[[], [6, 6], [8], [10], [10], [10], [7], [7], [8], [8], [8], [7], [10], [8], [10], [9], [6, 6], [], [7], [7], [8], [8], [10], [10], [6, 6], [9], [9], [9], [10], [10], [8], [10], [10], [10], [8], [9], [8], [3, 9], [9], [7], [5, 5], [6, 6], [8], [10]]
[[7], [], [7], [7], [8], [10], [5, 5], [7], [8], [8], [10], [9], [], [10], [10], [], [6, 6], [10], [8], [8], [8], [7], [10], [10], [9], [10], [9], [6, 6], [9], [9], [10], [8], [10], [9], [8], [10], [10], [8], [8], [6, 6], [6, 6], [10], [9], [7], [3, 8]]
[[6, 6], [10], [8], [], [], [7], [8], [8], [10], [9], [8], [6, 6], [10], [10], [10], [9], [8], [9], [], [9], [], [7], [10], [6, 6], [7], [10], [7], [8], [10], [7], [8], [8], [10], [7], [10], [8], [8], [10], [9], [8], [10], [10], [5, 5], [6, 6], [9], [3, 9]]
[[7], [5, 5], [10], [], [7], [7], [8], [8], [8], [8], [8], [10], [8], [9], [8], [8], [9], [10], [8], [9], [10], [6, 6], [], [9], [9], [9], [10], [10], [10], [6, 6], [9], [10], [7], [10], [10], [10], [], [], [], [8], [10], [6, 6], [6, 6], [10], [8], [7], [3, 7]]
[[6], [6], [6], [8], [7], [9], [10], [9], [8], [7], [10], [8], [8], [8], [8], [9], [10], [10], [9], [8], [7], [10], [10], [], [7], [10], [8], [10], [9], [10], [10], [6], [6], [6], [9], [8], [9], [6], [8], [10], [5, 5], [7], [10], [8], [6], [], [3, 7], [10]]
-EndAllocation

Instance: [[1], [383], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [256, 170, 128, 102, 85, 73, 64, 57, 52, 46, 42, 40, 37, 34, 32, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [192, 128, 96, 77, 64, 55, 48, 43, 39, 35, 32, 30, 28, 26, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8], [6]]
[[5, 5, 5, 5, 9, 9], [8, 8, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 10], [], [], [9, 9, 9, 9, 10], [5, 5, 5, 5, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[8, 8, 10, 10], [], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [8, 9, 9, 9], [], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [], [7, 7, 7, 7, 7], [], [9], [9, 9, 9, 9], [7, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 10, 10]]
[[7, 8, 8], [], [], [8, 8, 8, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [5, 5, 5, 5, 9], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8]]
[[8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [7, 7, 8, 10], [], [10, 10, 10], [9, 9, 9], [5, 5, 5, 5], [6, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [], [6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [], [6, 7], [7, 7, 7, 7], [9, 9, 9], [], [8, 8, 8, 8], [8, 10], [6, 6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5, 7]]
[[8, 10], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [], [9, 9, 9], [10, 10, 10], [7, 7], [9, 9, 9], [6, 8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], []]
[[10, 10], [7, 10, 10], [6, 6, 6, 6], [8, 8, 8], [7, 10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9, 9], [9, 9, 9], [], [7, 7, 7, 7], [5, 5, 5, 5, 8], [], [8, 8, 8], [10, 10], [6, 6], [9, 9, 9]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10], [9, 9, 9], [], [10, 10], [6], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5, 5], [9, 9, 9], [6, 10, 10], [7, 7, 8], [10, 10], [], [10, 10], [8, 8, 8], [9, 9, 9]]
[[8, 8, 8], [9, 9], [], [5, 5, 5, 5], [10, 10], [8, 8, 8], [8, 9, 9], [6, 9, 9], [7, 7, 7], [8, 8, 8], [9, 9], [], [6, 10, 10], [10, 10], [10, 10], [10, 10], [9], [6, 6, 6, 6], [8, 8, 8], [7, 7, 7]]
[[8, 8, 8], [6, 9, 9], [], [9, 9], [8], [8, 8, 8], [10, 10], [10, 10], [10, 10], [6, 9, 9], [7, 7, 7], [8, 8, 8], [7, 7, 7], [9], [10, 10], [10, 10], [], [5, 5, 5, 5], [8, 8, 8], [6, 6, 6, 6], [9, 9]]
[[8, 8, 8], [9, 9], [9, 9], [], [], [8, 8, 8], [7, 7, 7], [10, 10], [6, 6], [10, 10], [9, 9], [9, 9], [8, 8, 8], [10, 10], [6, 6, 6, 6], [7, 7, 7], [], [8, 8, 8], [8, 9], [5, 5, 5, 5], [10, 10], [10, 10]]
[[8, 8], [10, 10], [7, 7, 8], [8, 8], [5, 5, 5, 5], [9, 9], [10, 10], [10, 10], [6, 6, 6], [10, 10], [7, 7, 7], [8, 8], [10, 10], [7], [], [9, 9], [9, 9], [8, 8], [9, 9], [6, 6, 6], [9], [8, 8], [8, 8]]
[[8, 8], [9, 9], [9, 9], [10, 10], [], [6, 6, 6], [8, 8], [10, 10], [10, 10], [9, 9], [8, 8], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6], [8, 9], [], [], [7, 7, 7], [8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [10, 10]]
[[8, 8], [10, 10], [8, 8], [9, 9], [], [8, 8], [10, 10], [], [5, 5, 5, 5], [], [7, 7, 7], [], [10, 10], [8, 8], [9, 9], [7, 7, 7], [9, 9], [9, 9], [10, 10], [6, 6, 6], [8, 8], [10, 10], [8, 9], [6, 6, 6], [8, 8]]
[[8, 8], [9, 9], [10, 10], [7, 9], [8, 8], [8, 8], [], [8, 8], [8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [5, 5, 5, 5], [9, 9], [], [], [7, 7], [9, 9], [6, 6, 6], [8, 8], [7, 7], [10, 10], [7, 8]]
[[8, 8], [8, 8], [], [9, 9], [8, 8], [], [7, 7], [8, 8], [10, 10], [9, 9], [], [5, 5, 5, 5], [7, 7], [], [9, 9], [10, 10], [10, 10], [8, 8], [10, 10], [], [8, 8], [9], [9, 9], [6, 7, 7], [6, 6, 6], [10, 10], [6, 6, 8]]
[[9, 9], [8, 8], [8], [9, 9], [10], [5, 10], [9], [7, 10], [7, 10], [], [9, 9], [], [5, 10], [5, 10], [8, 8], [9, 9], [10], [5, 10], [8, 8], [10], [7, 7], [10], [6, 6, 6], [8, 8], [7, 7], [8, 8], [6, 6, 6], [8, 8]]
[[8, 8], [7, 7], [8, 8], [10], [9, 9], [8, 8], [], [6, 10], [9, 9], [6, 10], [9, 9], [10], [9], [8, 8], [], [7, 7], [7, 7], [10], [8, 8], [6, 6, 6], [10], [5, 10], [5, 5, 5], [6, 10], [8], [10], [9, 9], [10], [8, 8]]
[[8, 8], [7, 10], [7, 7], [10], [6, 10], [9], [8, 8], [6, 6], [7, 10], [9], [8, 8], [10], [7, 7], [10], [9], [], [10], [9], [8, 8], [8, 9], [9], [8, 8], [8, 8], [10], [6, 9], [5, 9], [9], [6, 10], [5, 5, 5], [6, 10]]
[[6, 6], [8, 8], [8, 8], [10], [], [8, 9], [8, 8], [9], [5, 5, 5], [10], [8, 9], [10], [9], [9], [], [6, 6], [8, 8], [6, 9], [9], [7, 7], [6, 10], [10], [10], [5, 10], [8, 9], [9], [7, 10], [10], [7, 10], [8, 8], [7, 7]]
[[5, 10], [8, 8], [10], [8, 8], [9], [8, 8], [9], [6, 10], [7, 8], [10], [], [8, 8], [8, 8], [9], [6, 10], [9], [10], [5, 5, 5], [6, 6], [10], [9], [6, 6], [7, 7], [9], [9], [10], [7, 7], [7, 9], [10], [10], [9], [8, 8]]
[[8, 8], [8], [5, 9], [5, 10], [10], [8, 8], [6, 9], [10], [5, 9], [10], [10], [7, 7], [8, 8], [10], [9], [9], [], [7, 7], [9], [6, 9], [10], [5, 10], [], [7, 9], [8, 8], [8, 8], [7], [10], [6, 6], [10], [8, 8], [6, 6], [9]]
[[8], [8, 8], [7, 9], [10], [10], [9], [6, 6], [8, 8], [10], [], [9], [], [7, 9], [7, 7], [10], [], [8, 8], [6, 6], [10], [8, 8], [9], [7, 7], [8, 8], [10], [5, 10], [9], [5, 10], [6, 6], [8, 8], [5, 9], [9], [10], [10], [5, 9]]
[[8], [10], [8], [8], [5, 9], [5, 9], [10], [6, 8], [6, 8], [10], [10], [9], [7, 7], [5, 8], [10], [10], [8], [9], [6, 8], [6, 8], [10], [9], [5, 8], [7, 7], [9], [7, 7], [9], [10], [6, 8], [10], [9], [10], [8], [9], [6, 8]]
[[6, 8], [10], [6, 8], [10], [10], [10], [10], [8], [7, 7], [10], [8], [6, 8], [6, 6], [5, 9], [7, 7], [8], [6, 8], [7, 7], [9], [9], [10], [9], [5, 9], [10], [10], [8], [9], [5, 8], [5, 9], [8], [9], [8], [8], [9], [10], [8]]
[[6, 8], [7, 7], [5, 9], [6, 8], [6, 8], [10], [9], [6, 8], [9], [9], [10], [6, 6], [10], [10], [8], [8], [9], [8], [10], [7, 7], [8], [9], [8], [7, 7], [8], [5, 5], [8], [8], [10], [10], [10], [9], [9], [9], [10], [5, 8], [10]]
[[10], [9], [9], [5, 8], [6, 8], [10], [7, 7], [6, 8], [5, 8], [9], [9], [10], [6, 8], [10], [8], [7, 7], [10], [7, 7], [10], [9], [10], [], [], [10], [10], [8], [8], [6, 8], [6, 6], [5, 8], [8], [10], [9], [9], [8], [5, 9], [8], [9]]
[[9], [7], [5, 8], [9], [10], [6, 6], [8], [10], [9], [10], [7], [8], [8], [9], [10], [9], [5, 8], [9], [5, 8], [6, 7], [8], [6, 7], [5, 8], [10], [10], [10], [9], [8], [10], [8], [8], [8], [6, 7], [9], [6, 7], [10], [8], [9], [10]]
[[6, 6], [6, 7], [6, 7], [6, 7], [7], [8], [8], [8], [9], [8], [9], [9], [8], [7], [8], [10], [6, 7], [9], [10], [10], [10], [9], [9], [10], [9], [8], [10], [10], [9], [9], [10], [8], [8], [10], [8], [8], [5, 8], [5, 8], [5, 5], [10]]
[[6, 7], [9], [5, 8], [6, 6], [9], [10], [5, 7], [10], [9], [9], [9], [5, 8], [9], [9], [], [8], [6, 6], [8], [9], [8], [10], [5, 8], [7], [8], [8], [10], [8], [8], [8], [8], [10], [8], [6, 7], [7], [10], [9], [10], [10], [7], [10], [10]]
[[8], [9], [7], [8], [8], [7], [8], [8], [8], [6, 6], [8], [10], [10], [8], [10], [8], [9], [10], [6, 6], [10], [7], [10], [7], [5, 5], [5, 7], [9], [6, 6], [9], [8], [8], [10], [10], [10], [9], [9], [8], [7], [9], [9], [10], [9], [5, 8]]
[[8], [9], [10], [8], [8], [7], [6, 6], [8], [9], [8], [7], [5, 5], [8], [7], [10], [8], [8], [10], [10], [9], [8], [7], [6, 6], [8], [9], [8], [9], [10], [7], [10], [6, 6], [8], [10], [9], [7], [10], [9], [9], [10], [10], [9], [5, 5], [8]]
[[8], [7], [8], [8], [8], [6, 6], [8], [9], [9], [8], [9], [5, 7], [10], [8], [10], [10], [7], [10], [8], [6, 6], [9], [9], [7], [5, 7], [10], [], [], [9], [8], [8], [8], [9], [8], [10], [10], [5, 5], [9], [10], [9], [6, 6], [10], [10], [7], [8]]
[[5, 7], [8], [9], [8], [8], [7], [10], [8], [9], [8], [10], [9], [8], [10], [10], [], [6, 6], [5], [8], [8], [7], [], [9], [10], [7], [7], [9], [6, 6], [9], [9], [5, 5], [8], [10], [8], [8], [8], [9], [9], [7], [10], [10], [10], [6, 6], [10], [8]]
[[7], [5, 7], [8], [8], [9], [6, 6], [8], [9], [10], [9], [9], [8], [5, 5], [10], [10], [9], [8], [9], [10], [8], [10], [6, 6], [10], [10], [6, 6], [8], [], [9], [5], [8], [8], [7], [], [], [8], [9], [7], [7], [8], [7], [10], [10], [8], [10], [9], [8]]
[[8], [7], [7], [7], [8], [5, 7], [8], [7], [10], [5], [6, 6], [10], [10], [8], [9], [8], [9], [10], [9], [6, 6], [], [10], [8], [10], [8], [6, 6], [9], [8], [8], [5, 5], [10], [], [9], [8], [], [], [9], [8], [10], [9], [9], [10], [9], [10], [8], [8], [7]]
[[5, 5], [8], [8], [8], [8], [6], [8], [9], [9], [9], [9], [6], [9], [10], [6], [10], [10], [10], [10], [8], [7], [8], [10], [5, 5], [], [10], [9], [7], [9], [10], [10], [7], [8], [7], [9], [], [9], [6], [8], [8], [7], [6], [10], [8], [8], [6], [7], [8]]
-EndAllocation

Instance: [[1], [382], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [254, 170, 128, 102, 85, 73, 64, 57, 52, 46, 42, 40, 37, 34, 32, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [191, 128, 96, 77, 64, 55, 48, 43, 39, 35, 32, 30, 28, 26, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9]]
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [7], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 9, 9, 9, 9, 9, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10, 10], [6, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9, 9], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 6, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], []]
[[6, 6, 6, 6, 6, 6, 6, 9], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8], [], [9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 8, 8], [9, 9, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10], [10], [10, 10, 10, 10, 10]]
[[6, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [8, 8, 10, 10, 10], [10, 10, 10, 10], [], [5, 5, 5, 5], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6, 6]]
[[6, 9, 9, 9, 9], [5, 5, 5, 5], [8, 8], [], [8, 8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[9, 9, 9, 9], [8, 8], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 10, 10, 10], [], [5, 5, 5, 5, 7], [10, 10, 10, 10], [10, 10, 10, 10]]
[[6, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 5, 7], [9], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [10, 10], [], [8, 8, 8, 8], [7, 7, 7, 7, 7], [10, 10, 10]]
[[6, 8, 8, 8], [6, 6, 6, 6, 6], [5, 5, 5, 5, 7, 7], [10, 10, 10], [9, 9], [10, 10, 10], [7, 7, 7, 7], [10, 10], [8], [9, 9, 9], [], [8, 8, 8, 8], [8, 8, 8, 8], [6, 9, 9, 9], [10, 10, 10]]
[[6, 8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [10, 10, 10], [], [8, 9, 9], [8, 8, 8, 8], [], [6, 7, 7], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10]]
[[6, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [], [9, 9, 9], [10, 10, 10], [9, 9, 9], [9, 9], [], [10, 10, 10], [10, 10, 10], [6, 8, 8, 8], [7, 7, 7], [10, 10], [5, 5, 5, 5]]
[[8, 8, 8], [10, 10], [8, 8, 8], [8, 8, 8], [9, 10, 10], [5, 5, 5, 5], [10, 10], [], [9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [6, 10, 10], [9, 9, 9], [6, 6, 10], [7, 7], [9, 10, 10], [], [6, 6, 6, 6]]
[[6, 8, 8], [5, 5, 5, 5], [8, 8, 8], [10, 10], [9, 9, 9], [], [6, 10, 10], [8], [7, 7, 7, 7], [8, 8, 8], [10, 10], [9, 9, 10], [6, 6, 6, 6], [7, 7], [10, 10], [], [6, 10, 10], [8, 8, 8], [9, 9, 9]]
[[6, 9, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [10, 10], [5, 5, 5, 5], [9, 9], [8, 8, 8], [10], [7, 7, 7], [8, 8, 8], [9, 9], [8, 8, 8], [10, 10], [10, 10], [10, 10], [9, 9], [6, 6], [8, 8, 8], []]
[[6, 9, 9], [], [6, 10], [9, 9], [7, 7, 7], [8, 8, 8], [9, 9], [10, 10], [10, 10], [6, 9, 9], [10, 10], [7, 7, 7], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10], [], [5, 5, 5, 5], [8, 8, 8], [], [10, 10]]
[[6, 8, 8], [6, 6, 6], [9, 9], [7, 7, 7], [], [9, 9], [5, 5, 5, 5], [10, 10], [], [10, 10], [9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [], [8, 8, 8], [6, 6, 6], [8, 10], [10, 10], [10, 10]]
[[6], [10], [7, 7, 7], [6, 6, 6], [10, 10], [8, 8], [7, 7, 7], [9, 9], [8, 8], [8, 8], [5, 5, 5, 5], [9, 9], [10, 10], [], [10, 10], [8, 8], [8, 8], [9, 9], [6, 6, 6], [10, 10], [8, 8], [9, 9], [10, 10]]
[[6, 10], [7, 7, 7], [], [9, 9], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [10, 10], [9, 9], [10], [], [8, 8], [10], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10], [8, 8], [10, 10], [9, 9], [9, 9], [6, 6, 6], [8, 8]]
[[6, 10], [10, 10], [8, 8], [8, 8], [8, 8], [6, 6, 6], [8, 8], [10, 10], [8, 8], [7, 7, 7], [], [8, 8], [9, 9], [9, 9], [], [], [10, 10], [], [10, 10], [9, 9], [9, 9], [6, 6, 6], [10, 10], [7, 7, 7], [5, 5, 5, 5]]
[[10, 10], [8, 8], [8, 8], [8, 8], [9, 9], [7, 7], [6, 6, 6], [], [8, 8], [7, 7], [], [10, 10], [9, 9], [10, 10], [6, 6, 6], [8, 8], [9, 9], [], [10, 10], [8, 8], [], [7, 7], [9, 9], [6, 10], [10, 10], [5, 5, 5, 5]]
[[8, 8], [], [8, 8], [8, 8], [9, 9], [6, 6, 6], [7, 7], [8, 8], [], [9, 9], [], [6, 6, 6], [7, 7], [8, 8], [9, 9], [9, 9], [10, 10], [], [10, 10], [10, 10], [], [10, 10], [7, 7], [8, 8], [10, 10], [5, 5, 5, 5], [6, 10]]
[[6, 10], [], [8, 8], [8, 8], [8, 8], [9, 9], [9, 9], [10], [10], [5, 5, 5], [7, 7], [10], [10], [7, 7], [10], [8, 8], [10], [6, 6, 6], [10], [6, 6, 6], [8, 8], [9, 9], [7, 7], [8, 8], [10], [9, 9], [10], [5, 10]]
[[6, 8], [7, 10], [8, 8], [10], [9, 9], [7, 7], [8, 10], [5], [8, 8], [10], [10], [], [7, 10], [5, 5, 5], [], [9, 9], [10], [9, 9], [7, 10], [8, 10], [8, 8], [10], [8, 8], [9, 9], [6, 6, 6], [10], [7], [6, 6, 6], [8]]
[[6, 10], [10], [7, 7], [10], [8, 8], [8, 8], [8, 8], [6, 6], [5, 5, 5], [8, 8], [8, 8], [10], [9], [6, 10], [9], [10], [9], [5, 6, 6], [10], [7, 10], [10], [8, 8], [7, 7], [7, 9], [10], [6, 10], [9], [9], [9], [9]]
[[7, 7], [10], [9], [8, 8], [8, 8], [8, 8], [8, 8], [10], [6, 6], [9], [10], [7, 10], [10], [10], [5, 10], [9], [6, 6], [8, 8], [7, 10], [8, 8], [7, 9], [10], [9], [5, 5, 5], [10], [], [9], [6, 6], [7, 10], [9], [6, 9]]
[[6, 9], [10], [9], [6, 9], [7, 7], [8, 8], [10], [8, 8], [8, 8], [5, 10], [9], [], [9], [9], [7, 7], [10], [10], [7, 7], [10], [5, 5, 5], [10], [10], [8, 8], [9], [6, 10], [10], [9], [10], [8, 8], [8, 8], [6, 6], [6, 6]]
[[6, 6], [8, 8], [8, 8], [5, 6], [9], [8, 8], [6, 6], [10], [10], [10], [9], [8, 8], [10], [10], [10], [10], [10], [9], [10], [7, 7], [9], [6, 6], [9], [9], [5, 5, 5], [10], [8, 8], [9], [7, 7], [8, 8], [10], [7, 7], [9]]
[[6, 9], [8, 8], [8, 8], [10], [8, 8], [8, 8], [10], [10], [10], [6, 6], [], [], [9], [10], [], [5, 5, 5], [7, 9], [9], [6, 6], [7, 7], [10], [9], [6, 10], [10], [7, 7], [], [5, 9], [10], [6, 10], [8, 8], [10], [9], [8, 8], [7, 9]]
[[6, 8], [6, 8], [10], [10], [10], [9], [7, 7], [10], [8], [6, 8], [6, 8], [10], [10], [9], [10], [9], [5, 5], [8], [9], [9], [9], [10], [10], [7, 7], [6, 8], [9], [10], [8], [7, 7], [9], [10], [5, 8], [6, 8], [6, 8], [5, 8]]
[[10], [9], [9], [10], [5, 8], [6, 8], [8], [10], [9], [10], [8], [10], [10], [9], [7, 7], [7, 7], [10], [7, 7], [8], [10], [8], [10], [6, 8], [8], [10], [10], [6, 6], [9], [9], [8], [6, 8], [5, 5], [6, 8], [9], [5, 9], [6, 8]]
[[6, 8], [10], [6, 6], [5, 8], [8], [8], [10], [10], [8], [9], [10], [6, 6], [9], [10], [9], [5, 8], [9], [7, 7], [9], [10], [9], [10], [9], [10], [8], [8], [6, 6], [8], [10], [10], [8], [8], [7, 7], [5, 9], [7, 7], [5, 8], [10]]
[[6, 8], [10], [6, 6], [6, 8], [10], [5, 5], [6, 8], [5, 5], [7, 7], [10], [9], [10], [9], [9], [10], [10], [8], [7, 7], [8], [8], [9], [8], [8], [7, 7], [8], [6, 6], [9], [10], [8], [8], [9], [8], [10], [10], [9], [9], [10], [10]]
[[6, 7], [9], [8], [8], [8], [10], [6, 6], [10], [10], [6, 7], [5, 7], [10], [9], [7], [8], [9], [10], [9], [8], [8], [10], [8], [10], [9], [9], [10], [8], [6, 7], [10], [10], [7], [10], [9], [6, 6], [8], [5, 8], [5, 8], [5, 8], [9]]
[[6, 7], [10], [7], [8], [9], [8], [5, 8], [10], [10], [7], [8], [10], [8], [8], [8], [9], [7], [10], [], [10], [8], [6, 7], [9], [9], [9], [10], [8], [5, 8], [10], [10], [5, 8], [9], [9], [6, 6], [9], [6, 6], [10], [6, 7], [5, 8], [10]]
[[5, 5], [10], [10], [6, 6], [6, 7], [10], [9], [8], [10], [10], [8], [7], [7], [10], [9], [8], [10], [10], [9], [9], [8], [10], [8], [6, 6], [9], [8], [10], [10], [6, 7], [7], [9], [8], [8], [6, 7], [9], [8], [8], [8], [9], [8], [5, 5]]
[[8], [6, 7], [10], [9], [7], [7], [10], [10], [8], [8], [10], [10], [8], [8], [8], [8], [10], [10], [10], [9], [5, 5], [8], [9], [10], [9], [5, 5], [6, 6], [9], [8], [9], [10], [6, 6], [10], [6, 7], [8], [9], [7], [8], [8], [9], [6], [7]]
[[8], [10], [10], [7], [8], [8], [7], [7], [8], [9], [6, 6], [8], [8], [9], [8], [5, 5], [9], [9], [10], [10], [10], [5, 5], [6], [6, 6], [7], [10], [9], [10], [9], [8], [8], [10], [8], [10], [6, 6], [7], [8], [10], [9], [10], [8], [9], [7]]
[[10], [10], [7], [5, 5], [10], [7], [9], [10], [8], [8], [7], [8], [8], [8], [6], [8], [7], [8], [5, 5], [6, 6], [9], [8], [10], [10], [8], [7], [7], [9], [9], [], [8], [9], [8], [10], [10], [8], [9], [10], [9], [6, 6], [10], [10], [6, 6], [9]]
[[9], [10], [8], [7], [5, 7], [8], [10], [7], [8], [6], [], [10], [10], [], [8], [9], [9], [9], [8], [8], [8], [8], [10], [9], [8], [6, 6], [8], [10], [10], [8], [10], [9], [9], [6, 6], [8], [6, 6], [10], [7], [9], [10], [10], [7], [5, 5], [], [5, 7]]
[[9], [5, 5], [8], [7], [7], [8], [6, 6], [10], [10], [9], [8], [9], [6, 6], [8], [10], [10], [8], [10], [8], [6], [], [7], [10], [9], [7], [8], [10], [7], [9], [8], [8], [8], [10], [10], [10], [7], [8], [], [9], [10], [5, 5], [], [8], [6, 6], [9], [9]]
[[5, 5], [7], [10], [8], [6, 6], [8], [8], [5, 5], [8], [9], [9], [7], [10], [7], [10], [], [10], [8], [9], [8], [10], [9], [8], [9], [9], [9], [10], [8], [6, 6], [6, 6], [8], [], [8], [10], [10], [10], [10], [7], [10], [], [], [7], [9], [8], [8], [7], [6]]
[[9], [6], [8], [8], [9], [8], [10], [5, 5], [8], [9], [8], [8], [9], [10], [6], [10], [10], [6], [10], [8], [8], [9], [10], [10], [9], [10], [], [9], [8], [7], [5, 5], [7], [8], [6], [9], [8], [6], [6], [6], [10], [7], [7], [10], [8], [], [7], [7], [10]]
-EndAllocation

Instance: [[1], [381], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [254, 169, 128, 102, 85, 73, 64, 57, 52, 46, 42, 40, 37, 34, 32, 30, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [191, 127, 96, 77, 64, 55, 48, 43, 39, 35, 32, 30, 28, 26, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 8, 10, 10, 10, 10], [4, 4, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[3, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10]]
[[3, 6, 10, 10, 10, 10, 10, 10, 10], [8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 10]]
[[3, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 10, 10, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10], [], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 9], [4, 4, 8, 8, 8]]
[[3, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9], [4, 4], [8, 8, 8, 8, 8, 8, 8], [9, 9], [8, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[3, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [], [9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [4, 4, 10, 10], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10]]
[[3, 6, 10, 10, 10], [9, 9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8], [4, 4, 8], [9, 9, 9, 10], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], []]
[[3, 10, 10, 10], [9, 9, 9, 9], [4, 4], [10], [8, 8, 8, 8, 8], [8, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [6, 7, 7, 7, 7, 7], [7, 10, 10, 10]]
[[3, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8, 8], [9, 9, 9, 9], [], [4, 4], [6, 6, 6, 6, 6, 6], [8], [6, 6, 7, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[3, 6, 6, 10, 10], [6, 6, 6, 6, 6, 6], [], [10, 10, 10], [10, 10, 10], [8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7], [9, 9, 9, 9], [4, 4, 10], [7], [8, 8, 8, 8], [10, 10, 10]]
[[8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [8, 8, 8], [10, 10, 10], [], [9, 9, 9], [7, 7], [3, 4, 4, 9], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [6, 6, 6, 9], [6, 6, 6, 6, 6]]
[[3, 7, 7, 10], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10, 10], [4, 4, 6, 6, 6], [8, 8, 8], [], [], [9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7]]
[[3], [4, 4], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [7, 7], [9, 9, 9], [10, 10, 10], [9, 9, 9], [8, 8], [8, 8, 8], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [9, 9], [10, 10, 10], [6, 6, 6]]
[[3, 6, 6, 6, 6], [7, 10, 10], [8, 8, 8], [9, 9, 9], [10, 10], [8, 8, 8], [7, 10, 10], [], [9, 9, 9], [10, 10], [7, 7, 7, 7], [4, 4, 10, 10], [], [8, 8], [10, 10], [6, 6, 6, 6], [8, 8, 8], [9, 9]]
[[3, 6, 6, 6, 6], [], [8, 8, 8], [10, 10], [9, 9, 9], [], [10, 10], [7, 7], [7, 7, 7, 7], [8, 8, 8], [8, 10, 10], [4, 4, 8], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [10, 10], [8, 8, 8], [9, 9, 9]]
[[3, 9, 9], [10, 10], [7, 7, 7], [], [10, 10], [8, 8, 8], [9, 9], [4, 4, 9, 9], [10, 10], [7, 7, 7], [6, 9, 9], [6, 6, 6], [8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [], [8, 8, 8], [8, 8], [10, 10]]
[[3, 9, 9], [6, 6, 6, 6], [10, 10], [9, 9], [7, 7, 7], [8, 8, 8], [9, 9], [10, 10], [10, 10], [4, 4], [8, 8, 8], [8, 10], [7, 7, 10], [7, 8], [10, 10], [6, 6, 6, 6], [], [], [8, 8, 8], [10, 10], [9, 9]]
[[3, 6, 6, 8], [6, 9, 9], [8, 8, 8], [10, 10], [10, 10], [8, 9], [7, 7, 7], [9, 9], [8, 8, 8], [], [], [7, 7, 7], [9, 9], [10, 10], [6, 9], [8, 8, 8], [], [4, 4], [10, 10], [6, 6, 6, 6], [10, 10], [10, 10]]
[[3, 6, 6], [8, 8], [7, 7, 7], [6, 6, 6], [8, 8], [8], [7, 7, 7], [9, 9], [4, 4], [10, 10], [8, 8], [9, 9], [10, 10], [], [10, 10], [9, 9], [10, 10], [10, 10], [6, 6, 6], [8, 8], [8, 8], [9, 9], [10, 10]]
[[10, 10], [3], [8, 8], [9, 9], [], [9, 9], [6, 6, 6], [8], [10, 10], [8, 8], [8, 8], [9, 9], [7, 7, 7], [10, 10], [7, 7, 7], [10, 10], [4, 4], [10, 10], [8, 8], [10, 10], [9], [6, 6, 9], [6, 6, 6], [8, 8]]
[[10, 10], [], [3, 8, 8], [8, 8], [4, 4], [8, 8], [8], [6, 6], [8, 8], [7, 7, 7], [10, 10], [9, 9], [10, 10], [6, 6, 6], [10, 10], [9, 9], [9, 9], [6, 6, 6], [10, 10], [9, 9], [8, 8], [], [10, 10], [7, 7, 7], []]
[[9, 9], [3, 8], [8, 8], [9, 9], [10, 10], [8, 8], [10, 10], [6, 6, 6], [9, 9], [7, 7], [], [10, 10], [4, 4, 6, 6], [6, 6, 6], [7, 7], [9, 9], [8, 8], [], [10, 10], [8, 8], [], [7, 7], [8, 8], [10, 10], [10, 10], []]
[[3, 4, 4], [], [8, 8], [8, 8], [8, 8], [6, 6, 6], [9, 9], [9, 9], [], [9, 9], [], [6, 6, 6], [7, 7], [8, 8], [7, 7], [6, 6, 8], [10, 10], [9, 9], [10, 10], [10, 10], [], [10, 10], [7, 7], [8, 8], [10, 10], [10, 10], []]
[[8, 8], [3, 10], [8, 8], [10], [10], [10], [9, 9], [7, 10], [7, 10], [], [9, 9], [10], [10], [], [8, 8], [9, 9], [7, 7], [4, 4, 10], [9, 9], [10], [10], [8, 10], [6, 6, 6], [8, 8], [8, 8], [6, 6, 6], [7, 7], [6, 6]]
[[3, 8], [9, 9], [7, 10], [8, 8], [9, 9], [8, 8], [10], [8, 8], [6, 8], [10], [6, 6, 6], [6, 6, 6], [7, 10], [6, 10], [7, 7], [9, 9], [4, 4, 10], [10], [10], [10], [7, 7], [9], [8, 8], [10], [8, 10], [], [], [9], [10]]
[[3, 6, 6], [10], [4, 4, 9], [7, 7], [8, 8], [8], [7, 10], [10], [8, 8], [10], [8, 8], [6, 10], [8, 8], [10], [10], [10], [9], [7, 9], [10], [6, 10], [10], [6, 6], [7, 7], [9], [10], [6, 9], [9], [9], [6, 9], [8, 8]]
[[7, 9], [6, 10], [8, 8], [8, 8], [3, 10], [8, 8], [10], [8, 8], [6, 6], [4, 4, 9], [10], [6, 10], [10], [8, 8], [10], [7, 7], [9], [7, 7], [9], [8, 9], [9], [10], [10], [9], [6, 6], [], [10], [6, 6], [7, 10], [9], [10]]
[[6, 8], [8, 8], [6, 10], [6, 10], [7, 7], [10], [6, 10], [10], [10], [9], [9], [6, 6], [8, 8], [10], [10], [9], [8, 8], [9], [7, 7], [9], [10], [6, 6], [7, 7], [9], [4, 4], [9], [10], [9], [8, 8], [8, 8], [10], [3, 10]]
[[7, 7], [8, 8], [3, 10], [6, 10], [6, 9], [8, 8], [8, 8], [8, 8], [], [10], [6, 6], [9], [9], [10], [10], [4, 4], [10], [9], [6, 10], [8, 8], [6, 6], [10], [], [9], [10], [9], [10], [10], [7, 7], [10], [6, 9], [7, 8], [7, 9]]
[[7, 7], [3, 6], [6, 10], [8], [4, 4], [6, 6], [10], [10], [10], [8, 8], [8, 8], [10], [9], [10], [9], [], [9], [10], [6, 9], [7, 7], [10], [9], [6, 10], [10], [7, 7], [10], [9], [8, 8], [9], [8, 8], [10], [6, 6], [8, 8], [9]]
[[3, 9], [6, 7], [10], [9], [9], [9], [4, 8], [4, 10], [10], [6, 7], [9], [9], [6, 8], [9], [10], [8], [10], [8], [7, 7], [10], [10], [8], [6, 8], [10], [6, 8], [7, 7], [8], [10], [9], [6, 8], [10], [6, 8], [10], [10], [6, 8]]
[[3, 9], [7, 7], [8], [10], [7, 7], [6, 7], [10], [10], [10], [10], [10], [8], [10], [6, 8], [9], [10], [7], [6, 8], [10], [9], [6, 8], [6, 8], [9], [6, 8], [6, 8], [9], [10], [10], [8], [8], [4, 4], [9], [10], [9], [6, 8], [9]]
[[9], [10], [8], [6, 6], [7, 7], [6, 8], [8], [9], [6, 8], [8], [10], [3, 10], [], [10], [10], [10], [9], [9], [8], [8], [6, 8], [6, 8], [6, 8], [10], [9], [7, 7], [9], [4, 4], [10], [10], [10], [6, 8], [7, 7], [9], [10], [9], [10]]
[[6, 8], [8], [6, 6], [9], [8], [7, 7], [10], [9], [8], [6, 8], [9], [10], [9], [8], [8], [9], [10], [10], [8], [9], [9], [8], [6, 6], [10], [10], [10], [8], [10], [6, 6], [10], [7, 7], [8], [10], [10], [4, 4], [9], [7, 7], [3, 10]]
[[6, 7], [9], [6, 7], [8], [6, 7], [9], [8], [7], [9], [8], [8], [8], [7], [8], [10], [9], [8], [4, 8], [8], [10], [10], [6, 6], [10], [10], [10], [4, 8], [10], [9], [10], [9], [6, 6], [6, 7], [10], [10], [9], [9], [10], [8], [3, 10]]
[[3, 9], [9], [6, 7], [6, 7], [6, 6], [4, 4], [6, 6], [6, 7], [9], [8], [10], [10], [8], [9], [9], [10], [7], [8], [10], [10], [10], [8], [10], [10], [8], [9], [9], [8], [10], [10], [8], [9], [7], [10], [8], [8], [6, 7], [8], [8], [10]]
[[6, 7], [9], [10], [10], [6, 6], [10], [6, 7], [7], [9], [9], [10], [8], [9], [6, 6], [7], [10], [9], [8], [9], [8], [4, 4], [10], [6, 6], [10], [10], [8], [8], [10], [10], [8], [9], [7], [9], [10], [10], [8], [8], [8], [7], [8], [3, 8]]
[[3, 6], [8], [4, 4], [10], [9], [9], [6, 7], [9], [10], [8], [9], [10], [8], [6, 6], [10], [7], [9], [6, 6], [], [7], [9], [8], [10], [10], [6, 7], [8], [10], [8], [8], [8], [9], [10], [9], [8], [7], [8], [8], [10], [10], [6, 7], [10], [10]]
[[3, 8], [10], [6, 6], [7], [10], [6, 6], [4, 4], [7], [7], [8], [10], [8], [6, 6], [9], [8], [], [8], [8], [9], [9], [10], [8], [6, 6], [7], [10], [9], [8], [10], [9], [8], [10], [9], [8], [8], [7], [10], [9], [7], [10], [10], [9], [10], [10]]
[[10], [], [7], [7], [9], [8], [8], [9], [6, 6], [10], [8], [8], [8], [9], [8], [8], [7], [8], [10], [8], [6, 6], [9], [], [7], [10], [7], [10], [9], [9], [10], [10], [6, 6], [7], [10], [10], [8], [10], [10], [9], [6, 6], [4, 4], [10], [8], [3, 9]]
[[4], [8], [10], [8], [6, 6], [8], [8], [9], [], [10], [9], [6, 6], [10], [7], [7], [6, 6], [], [10], [10], [10], [10], [10], [9], [10], [4, 8], [9], [9], [8], [9], [8], [9], [7], [9], [8], [10], [8], [10], [10], [], [8], [6, 6], [7], [8], [7], [3, 7]]
[[6, 6], [8], [7], [6, 6], [8], [8], [8], [9], [], [8], [10], [8], [6, 6], [10], [10], [9], [7], [4, 4], [], [9], [], [7], [10], [6, 6], [7], [9], [], [10], [10], [9], [8], [8], [10], [7], [10], [9], [8], [10], [10], [8], [10], [7], [8], [10], [9], [3, 9]]
[[6, 6], [4, 4], [9], [8], [9], [8], [9], [7], [10], [8], [9], [8], [10], [7], [10], [7], [10], [10], [6, 6], [], [10], [6, 6], [], [9], [9], [9], [10], [8], [10], [6, 6], [8], [], [8], [10], [10], [10], [], [], [8], [8], [10], [8], [9], [7], [8], [7], [3, 7]]
[[6], [3, 6], [6], [7], [6], [8], [8], [8], [8], [8], [8], [10], [10], [6], [9], [9], [10], [8], [10], [6], [10], [], [7], [], [10], [9], [9], [10], [8], [9], [7], [9], [8], [4, 4], [8], [7], [10], [10], [10], [9], [10], [6], [9], [7], [8], [6], [7], [10]]
-EndAllocation

Instance: [[1], [380], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [253, 169, 126, 101, 85, 73, 64, 57, 50, 46, 42, 40, 37, 34, 32, 30, 29, 26, 25, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [190, 127, 95, 76, 64, 55, 48, 43, 38, 35, 32, 30, 28, 26, 24, 23, 22, 20, 19, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [10]]
[[8, 8, 8, 10, 10, 10, 10, 10, 10], [6, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5]]
[[8, 9, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8], [], [6, 6, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 7, 7, 7, 7, 7, 7], [6, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [8], [5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 10], [10, 10, 10, 10, 10]]
[[], [5, 10, 10, 10, 10], [6, 6, 9, 9, 10, 10], [6, 8, 8, 8, 8, 9], [6, 8, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8], [8, 8, 8, 8, 8], [], [5, 5, 5, 5, 6, 6, 8, 8], [10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 5, 5, 5], [], [6, 6, 6, 6, 6, 6], [8, 8, 8, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[10, 10, 10], [], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8], [5, 5, 5, 8, 8, 8], [5, 5, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10]]
[[8, 8, 10, 10], [5, 5, 5, 5, 5], [], [8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8], [7, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7], [8, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10]]
[[10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 7, 7, 8], [], [9, 9, 9], [7, 7], [5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 5], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [8], [7, 7, 10, 10], [], [9], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10], [6, 9, 9, 9], [8, 8, 8, 8]]
[[7, 8, 8, 8], [5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8], [], [10], [7, 7, 7, 7], [8, 8, 8], [6, 8, 8, 8], [8, 10, 10], [9], [6, 6, 6, 6, 6], [9, 9, 9], [7, 10, 10]]
[[7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [7, 10, 10], [9, 9, 9], [10, 10, 10], [9], [5, 5, 5, 5, 7], [5], [8], [6, 8, 8, 8], [10, 10, 10], [9, 9, 9], [10, 10, 10], []]
[[5, 10, 10], [7, 7, 10], [8, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [], [10, 10], [9, 9, 9], [8, 8, 8], [], [9, 9, 9], [5, 5, 5, 5, 9], [7, 7, 7, 7], [10, 10], [10, 10], [6, 6, 6, 6], [6, 6, 8]]
[[8, 8, 10], [8, 8, 8], [6, 6, 6, 6], [5, 5, 5, 5, 5], [9, 9], [10, 10], [6, 10, 10], [7, 7, 7], [7, 7, 7], [8, 8, 8], [10], [6, 10, 10], [], [9], [10, 10], [9, 9], [8, 8, 10], [8, 8, 8], [9, 9]]
[[8, 8, 8], [5, 5, 5, 5, 5], [], [8, 8, 8], [10, 10], [8, 8, 8], [9], [9, 9], [6, 6, 10], [10, 10], [6, 6, 6, 6], [8], [10, 10], [10, 10], [10, 10], [9, 9], [7, 7, 7], [9, 9], [8, 8, 8], [7, 7, 7]]
[[8, 8, 8], [], [7], [9, 9], [10, 10], [8, 8], [10, 10], [10, 10], [9, 9], [6, 9, 9], [8, 8, 8], [7, 7, 7], [7, 7, 10], [6, 6, 6, 6], [10, 10], [10, 10], [6, 8, 8], [5, 5, 5, 5, 5], [8, 8, 8], [], [9]]
[[8, 8, 8], [8, 8, 8], [7, 7, 7], [10, 10], [7], [], [7, 7, 8], [10, 10], [6, 9, 9], [10, 10], [9], [5], [8, 8, 8], [10, 10], [8, 8, 8], [6, 9, 9], [], [10], [5, 5, 5, 5], [6, 6, 6, 6], [9, 9], [10, 10]]
[[8, 10], [8, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5], [9, 9], [10, 10], [5, 8, 8], [6, 6, 8], [10, 10], [6], [9, 9], [], [], [10, 10], [9, 10], [8, 8], [7, 7, 7], [8, 8], [6, 6, 6], [10, 10], [8, 8], [8, 8]]
[[8, 8], [8, 9], [8, 8], [5, 8, 8], [], [6, 6, 6], [8, 8], [10, 10], [9, 9], [7, 7, 7], [9, 9], [10, 10], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [10, 10], [10, 10], [5, 5, 5, 5], [], [], [10, 10], [10], [8, 8]]
[[8, 8], [8, 8], [9], [9, 9], [], [], [9, 9], [10, 10], [10, 10], [5, 5, 5, 5], [8, 8], [8], [10, 10], [8, 8], [8, 8], [6, 6, 6], [10, 10], [7, 7, 7], [], [6, 6, 6], [7, 7, 7], [9, 9], [5, 10], [10, 10], [8, 8]]
[[8, 8], [9, 9], [8, 10], [7, 7], [8, 8], [], [], [8, 8], [8, 8], [10, 10], [8, 8], [], [9], [10, 10], [10, 10], [], [6, 6, 6], [7, 7], [9, 9], [9, 9], [6, 6, 6], [5, 5, 5, 5], [5, 7, 7], [10, 10], [10, 10], [8, 8]]
[[8, 8], [8, 8], [8, 9], [10, 10], [7, 7], [], [9, 9], [7, 7], [8, 8], [6, 6, 6], [9, 9], [10, 10], [], [], [8, 8], [7, 7], [10, 10], [10, 10], [10, 10], [], [9, 9], [], [8, 8], [6, 6, 6], [5, 5, 5, 5], [5, 10], [8, 8]]
[[8, 8], [8, 8], [10], [8, 8], [10], [7, 10], [9], [6, 6, 6], [9, 9], [10], [8, 8], [], [9, 9], [10], [10], [7, 10], [10], [8, 10], [5, 5], [8, 8], [9, 9], [6, 6, 6], [10], [7, 7], [7, 7], [5, 5, 5], [10], [8, 8]]
[[8, 8], [8, 8], [8], [10], [], [9, 9], [10], [5, 10], [9, 9], [10], [5, 5, 5], [8, 8], [9], [7, 7], [10], [6, 6, 6], [6, 6, 6], [7, 7], [7, 10], [], [9, 9], [10], [10], [10], [7, 10], [5, 10], [8, 8], [8, 8], [8, 8]]
[[10], [8, 8], [7, 7], [5, 5, 5], [8, 9], [6, 9], [10], [6, 10], [6, 9], [9], [8, 8], [6, 10], [10], [10], [10], [10], [7, 7], [9], [8, 8], [7, 7], [10], [10], [10], [8, 8], [9], [5, 5], [8, 8], [6, 6], [9], [8, 8]]
[[8, 8], [8, 8], [5, 9], [], [10], [9], [8], [], [5, 5, 5], [9], [9], [6, 10], [9], [8, 8], [10], [7, 7], [10], [8, 8], [6, 10], [8, 8], [7, 7], [10], [6, 10], [7, 10], [9], [6, 6], [7, 10], [5, 10], [6, 10], [9], [8, 8]]
[[6, 10], [6, 6], [7, 9], [5, 9], [5, 9], [5, 10], [10], [6, 6], [6, 9], [10], [10], [5, 8], [8, 8], [8, 8], [], [], [9], [10], [10], [8, 8], [10], [7, 7], [8, 8], [10], [10], [8, 8], [5, 7], [9], [10], [7, 7], [9], [8, 8]]
[[8, 8], [9], [5, 10], [6, 9], [5, 9], [8, 8], [6, 6], [8, 8], [8, 8], [10], [5, 8], [10], [8, 8], [10], [10], [9], [5, 10], [9], [10], [10], [9], [8, 8], [9], [6, 10], [10], [10], [7, 7], [], [], [6, 6], [7, 7], [7, 7], [5]]
[[10], [8, 8], [5, 5, 5], [10], [8, 8], [7, 8], [10], [9], [5, 10], [], [10], [10], [9], [10], [10], [], [8, 8], [8, 8], [9], [6, 6], [], [9], [5, 10], [], [6, 6], [7, 7], [9], [8, 8], [6, 9], [7, 7], [8, 8], [6, 10], [10], [7, 9]]
[[10], [6, 8], [6, 7], [5, 7], [8], [10], [9], [5, 9], [9], [5, 8], [10], [6, 8], [10], [6, 8], [10], [10], [7, 7], [6, 8], [10], [8], [9], [5, 9], [6, 8], [10], [10], [8], [8], [10], [9], [8], [8], [9], [7, 7], [5, 8], [10]]
[[7, 7], [5, 8], [10], [8], [5, 8], [5], [5, 8], [7, 7], [10], [5, 9], [6, 8], [6, 6], [6, 8], [10], [9], [10], [9], [10], [10], [6, 8], [9], [8], [9], [10], [10], [10], [10], [9], [8], [10], [7, 7], [6, 8], [8], [9], [8], [8]]
[[5, 8], [6, 8], [8], [10], [7, 7], [6, 7], [9], [9], [9], [10], [10], [5], [10], [10], [10], [7, 7], [8], [9], [9], [10], [5, 8], [8], [10], [6, 8], [7], [6, 8], [6, 6], [8], [8], [9], [8], [9], [10], [5, 8], [5, 8], [10], [10]]
[[5, 8], [8], [10], [9], [5, 8], [9], [10], [10], [5, 8], [10], [9], [5, 7], [6, 7], [10], [6, 7], [10], [8], [10], [8], [8], [9], [8], [10], [8], [6, 7], [10], [9], [8], [9], [8], [8], [6, 6], [9], [5, 7], [8], [10], [10], [6, 7]]
[[8], [8], [10], [9], [8], [5, 8], [8], [6, 7], [8], [5, 8], [6, 6], [5, 8], [5, 5], [9], [9], [9], [10], [9], [10], [10], [10], [6, 7], [10], [9], [10], [10], [9], [10], [7], [6, 7], [8], [6, 7], [8], [8], [10], [8], [8], [10], [7]]
[[5, 8], [5, 8], [9], [10], [9], [8], [10], [10], [10], [8], [10], [8], [10], [6, 7], [9], [9], [8], [8], [6, 7], [6, 7], [5, 8], [9], [8], [6, 7], [10], [9], [], [5, 8], [10], [10], [6, 7], [10], [], [8], [10], [5, 8], [9], [8], [6, 7], []]
[[5, 5], [6, 7], [], [8], [6, 7], [6, 7], [6, 7], [6, 6], [10], [10], [5, 7], [7], [9], [8], [9], [10], [10], [9], [10], [8], [9], [10], [8], [8], [10], [10], [8], [10], [9], [8], [9], [5, 8], [8], [9], [10], [10], [], [8], [8], [8], [5, 8]]
[[10], [8], [9], [8], [8], [7], [7], [8], [8], [8], [10], [8], [10], [9], [8], [5, 5], [8], [10], [9], [6, 6], [9], [10], [8], [10], [7], [8], [9], [7], [7], [8], [9], [10], [10], [5, 5], [6, 6], [5, 7], [10], [6, 6], [9], [10], [8], [10]]
[[6, 6], [6], [8], [10], [9], [9], [8], [8], [10], [9], [8], [10], [5, 7], [10], [5, 7], [5, 6], [5, 7], [9], [7], [9], [8], [8], [9], [5, 7], [7], [8], [10], [8], [8], [9], [8], [6], [8], [], [10], [10], [6], [10], [10], [10], [10], [8], [8]]
[[9], [9], [], [10], [8], [10], [7], [], [9], [10], [9], [9], [9], [10], [10], [6, 6], [9], [10], [8], [10], [5, 7], [8], [8], [8], [10], [10], [5, 7], [10], [8], [5, 7], [8], [8], [5, 6], [8], [8], [8], [7], [6, 6], [8], [10], [5, 6], [], [8], [7]]
[[8], [5, 6], [5, 5], [10], [10], [9], [8], [8], [8], [9], [10], [10], [8], [10], [6, 6], [8], [9], [10], [8], [9], [8], [10], [10], [9], [7], [8], [8], [7], [7], [8], [10], [10], [10], [7], [7], [], [8], [8], [9], [6, 6], [9], [7], [6], [], [5, 5]]
[[7], [7], [7], [9], [10], [9], [6, 6], [10], [10], [10], [9], [9], [10], [10], [10], [9], [5, 7], [10], [8], [], [10], [8], [], [8], [8], [9], [9], [8], [8], [8], [8], [8], [8], [5, 7], [8], [5, 7], [8], [5, 5], [8], [10], [6, 6], [], [10], [6, 6], [], []]
[[10], [], [9], [10], [5, 5], [6, 6], [7], [9], [8], [8], [9], [6, 6], [9], [8], [9], [9], [8], [8], [], [], [8], [8], [8], [10], [5, 7], [8], [8], [10], [5, 7], [8], [10], [10], [10], [5, 7], [], [7], [8], [8], [10], [], [7], [10], [], [6, 6], [10], [9], [10]]
[[8], [8], [6], [7], [5], [8], [8], [8], [10], [8], [5, 5], [10], [10], [10], [7], [8], [8], [], [9], [8], [7], [], [10], [8], [5, 5], [10], [9], [10], [9], [10], [10], [6], [7], [6], [9], [8], [9], [6], [6], [9], [7], [6], [10], [8], [9], [7], [10], [8]]
-EndAllocation

Instance: [[1], [379], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [253, 169, 126, 101, 85, 73, 64, 57, 50, 46, 42, 40, 37, 34, 32, 30, 29, 26, 25, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [190, 127, 95, 76, 64, 55, 48, 43, 38, 35, 32, 30, 28, 26, 24, 23, 22, 20, 19, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10], [4, 5, 5, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7], [10, 10]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 8, 8]]
[[4, 8, 8, 8, 10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [5, 5, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 6, 6, 8, 8, 8], [6], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [5, 5], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 8, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10, 10], [8, 8], [5, 5], [7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9], [9, 9, 9, 9, 9, 9], [6, 6, 8, 8, 8, 10, 10], [10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [], [5, 5, 9, 9, 9], [8, 8, 8, 8, 8, 8], [10, 10], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5], [], [6, 6, 6, 6, 6, 6, 6], [8, 8, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10]]
[[10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8], [5, 5, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8], [4, 10, 10, 10], [10, 10, 10]]
[[10, 10, 10, 10], [5, 5], [], [8, 8, 8, 8, 8], [6], [8, 8, 8, 8, 8], [8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7], [4, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [10, 10, 10, 10]]
[[4, 10, 10, 10], [], [8, 8, 8, 8], [10, 10, 10], [7, 10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [6, 7, 7, 7, 7], [], [9, 9, 9, 9], [5, 5], [9, 9, 9, 9]]
[[8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [], [10, 10, 10], [], [9, 9, 9], [5, 5], [6, 7, 9, 9], [4, 6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10], [6, 9, 9, 9], [8, 8, 8, 8]]
[[4, 8, 8, 10], [5, 5, 8], [10, 10], [10, 10], [9, 9, 9], [8, 8, 8], [], [10, 10], [7, 7, 7, 7], [8, 8, 10], [8, 8, 8], [8, 10, 10], [6, 6, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [7, 10, 10]]
[[7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [6, 7, 9], [10, 10, 10], [10, 10, 10], [9, 9, 9], [4, 5, 5, 9], [], [], [6, 8, 8, 8], [10, 10, 10], [9, 9, 9], [10, 10, 10], []]
[[4, 10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6], [9, 9, 9], [8, 8, 8], [], [9, 9, 9], [5, 5], [7, 7, 7, 7], [7, 10, 10], [10, 10], [6, 6, 6, 6], [9, 9]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [5, 5], [9, 9], [6, 10, 10], [6, 10, 10], [7, 7], [7, 7, 7], [8, 8, 8], [4, 10, 10], [6, 10, 10], [9, 9], [9, 9], [10, 10], [], [10, 10], [8, 8, 8], [9, 9]]
[[8, 8, 8], [7, 7, 7], [10, 10], [], [10, 10], [8, 8, 8], [9, 9], [9, 9], [5, 9, 9], [4, 10, 10], [6, 6, 6, 6], [5, 6, 6, 6], [10, 10], [8, 8, 8], [10, 10], [10, 10], [7, 7], [9, 9], [8, 8, 8], []]
[[4, 5, 8, 8], [], [], [9, 9], [10, 10], [8, 8, 8], [10, 10], [10, 10], [9, 9], [6, 9, 9], [8, 8, 8], [7, 7], [7, 7, 7], [6, 6, 8], [10, 10], [10, 10], [], [5, 10, 10], [8, 8, 8], [9, 9], [6, 6, 6, 6]]
[[8, 8, 8], [8, 8, 8], [4, 7, 7], [10, 10], [10, 10], [], [7, 7, 7], [10, 10], [9, 9], [10, 10], [9, 9], [], [8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [], [6, 6, 6], [5, 5], [6, 6, 6, 6], [9, 9], [10, 10]]
[[4, 8, 8], [6, 8, 8], [7, 7], [9, 9], [10, 10], [9, 9], [10, 10], [10, 10], [6, 6, 6], [10, 10], [9, 9], [9, 9], [], [], [10, 10], [5, 5], [8, 8], [7, 7, 7], [8, 8], [6, 6, 6], [10, 10], [8, 8], [8, 8]]
[[4, 8, 8], [9, 9], [6, 8], [8, 8], [8], [6, 6, 6], [8, 8], [10, 10], [9, 9], [7, 7], [9, 9], [10, 10], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [10, 10], [10, 10], [5, 5], [], [], [10, 10], [10, 10], [8, 8]]
[[4, 8, 8], [8, 8], [9, 9], [9, 9], [6], [], [10, 10], [10, 10], [10, 10], [5, 5], [8, 8], [], [10, 10], [8, 8], [8, 8], [6, 6, 6], [10, 10], [7, 7], [], [6, 6, 6], [7, 7, 7], [9, 9], [9, 9], [10, 10], [8, 8]]
[[4, 8, 8], [9, 9], [10, 10], [9, 9], [8, 8], [6], [], [8, 8], [8, 8], [10, 10], [8, 8], [], [9, 9], [10, 10], [10, 10], [10, 10], [6, 6, 6], [7], [], [9, 9], [6, 6, 6], [5, 5], [7, 7], [10, 10], [7, 7], [8, 8]]
[[4, 8, 8], [8, 8], [6], [10, 10], [7, 7], [8, 8], [9, 9], [7, 7], [10, 10], [6, 6, 6], [9, 9], [], [6, 6, 6], [], [8, 8], [7], [10, 10], [10, 10], [], [], [9, 9], [8, 8], [10, 10], [9, 9], [5, 5], [10, 10], [8, 8]]
[[8, 8], [8, 8], [9, 9], [8, 8], [4, 10], [10], [], [6, 6, 6], [9, 9], [10], [8, 10], [], [9, 9], [10], [10], [7, 10], [8, 10], [7, 7], [], [8, 10], [9, 9], [6, 6, 6], [10], [7, 7], [10], [5, 5, 6], [8, 10], [8, 8]]
[[8, 8], [8, 8], [4, 6], [8, 10], [], [9, 9], [9, 9], [10], [10], [10], [5, 5], [8, 8], [9, 9], [7, 7], [10], [6, 6, 6], [6, 6, 6], [7, 7], [10], [], [9, 9], [10], [10], [10], [7, 10], [10], [8, 10], [8, 8], [8, 8]]
[[8, 9], [8, 8], [7, 7], [8, 9], [4, 10], [5, 10], [10], [6, 10], [6, 6], [10], [8, 8], [6, 10], [8, 8], [10], [10], [9], [9], [9], [10], [7], [10], [7, 7], [10], [5, 9], [9], [10], [8, 8], [6, 6], [6, 9], [8, 8]]
[[8, 8], [8, 8], [4, 10], [10], [7, 10], [10], [10], [9], [7, 8], [9], [9], [6, 10], [9], [8], [10], [7, 7], [6, 10], [8, 8], [10], [8, 8], [7, 9], [], [6, 6], [9], [9], [6, 9], [10], [5, 10], [6, 10], [5, 6], [8, 8]]
[[8, 8], [8, 8], [4, 9], [9], [8, 8], [10], [10], [6, 6], [6, 6], [9], [8, 8], [5, 5], [8, 8], [6, 6], [10], [10], [9], [10], [9], [10], [10], [7, 7], [8, 8], [10], [6, 10], [10], [7, 7], [9], [10], [10], [9], [7, 9]]
[[8, 8], [8, 8], [7, 7], [4, 10], [9], [8, 8], [6, 6], [9], [10], [8, 8], [5, 10], [7, 7], [8, 8], [10], [9], [9], [], [7, 9], [], [9], [10], [10], [], [6, 6], [8, 8], [10], [10], [10], [6, 10], [6, 9], [6, 10], [5, 10], [9]]
[[8, 8], [8, 8], [4, 5, 5], [10], [8, 8], [7, 9], [10], [10], [10], [], [6, 10], [10], [10], [9], [], [], [6, 6], [8, 8], [9], [6, 9], [10], [10], [10], [10], [6, 6], [7, 7], [9], [8, 8], [9], [7, 7], [9], [9], [6, 10], [8, 8]]
[[4, 10], [6, 8], [10], [6, 8], [10], [10], [9], [6, 8], [9], [7, 7], [9], [9], [5, 9], [6, 8], [10], [7, 7], [7], [9], [10], [8], [8], [6, 8], [10], [5, 9], [8], [8], [6, 8], [6, 8], [10], [10], [10], [10], [8], [9], [10]]
[[6, 8], [4, 10], [9], [6, 8], [5, 7], [9], [10], [10], [9], [8], [7], [10], [8], [10], [10], [10], [10], [9], [7], [9], [10], [9], [10], [5, 9], [6, 8], [9], [8], [6, 8], [8], [10], [7, 7], [6, 8], [8], [10], [6, 8], [6, 8]]
[[4, 8], [6, 8], [6, 8], [10], [8], [10], [10], [5, 9], [9], [7, 7], [10], [10], [10], [6, 6], [8], [9], [8], [5, 7], [8], [9], [10], [10], [10], [8], [10], [9], [6, 6], [8], [7, 7], [8], [9], [8], [9], [6, 8], [10], [9], [10]]
[[8], [5, 8], [10], [8], [4, 8], [10], [6, 7], [10], [10], [10], [9], [8], [8], [9], [8], [6, 7], [6, 6], [6, 7], [6, 7], [6, 7], [9], [10], [8], [9], [10], [10], [10], [5, 8], [8], [9], [9], [10], [10], [8], [9], [10], [8], [9]]
[[4, 9], [5, 8], [6, 6], [5, 8], [8], [7], [10], [6, 7], [8], [8], [7], [8], [9], [8], [10], [9], [10], [10], [8], [10], [10], [8], [10], [9], [10], [8], [10], [10], [10], [9], [8], [9], [6, 7], [9], [6, 6], [10], [8], [6, 7], [9]]
[[4, 9], [9], [9], [9], [10], [10], [6, 6], [10], [10], [10], [10], [8], [6, 7], [6, 6], [8], [8], [8], [7], [8], [7], [7], [9], [7], [10], [8], [8], [8], [5, 8], [8], [10], [10], [9], [9], [9], [10], [8], [6, 6], [10], [10], [5, 8]]
[[10], [4, 8], [9], [8], [10], [8], [10], [8], [8], [7], [5, 5], [8], [10], [8], [9], [9], [8], [10], [6, 7], [10], [10], [9], [7], [6, 6], [7], [8], [9], [6, 6], [9], [9], [10], [8], [8], [6, 6], [10], [9], [10], [10], [8], [10], [7]]
[[6], [9], [8], [9], [8], [7], [8], [10], [7], [8], [10], [8], [10], [9], [10], [10], [8], [10], [9], [6, 6], [10], [10], [8], [10], [9], [8], [9], [7], [7], [8], [9], [9], [10], [5, 5], [6, 6], [7], [10], [6, 6], [10], [8], [8], [4, 8]]
[[8], [8], [8], [8], [8], [6, 6], [10], [6], [7], [9], [6, 6], [10], [7], [9], [7], [10], [7], [], [5, 5], [8], [10], [6, 6], [9], [9], [8], [7], [8], [10], [10], [9], [8], [10], [10], [9], [8], [10], [9], [9], [10], [10], [10], [8], [4, 8]]
[[7], [7], [10], [8], [8], [10], [8], [8], [9], [4, 6], [10], [8], [], [9], [10], [9], [10], [10], [8], [6, 6], [9], [9], [8], [8], [8], [], [10], [9], [9], [7], [8], [10], [8], [10], [10], [8], [10], [7], [9], [6, 6], [10], [7], [6, 6], [5, 5]]
[[8], [8], [8], [9], [9], [6, 6], [10], [8], [10], [10], [9], [10], [10], [6, 6], [7], [10], [10], [8], [9], [5, 5], [8], [10], [10], [10], [9], [9], [], [6], [9], [8], [10], [9], [10], [7], [8], [7], [8], [8], [8], [], [7], [8], [6, 6], [], [4, 7]]
[[8], [8], [8], [8], [8], [6, 6], [6, 6], [10], [10], [9], [9], [8], [9], [10], [10], [9], [7], [10], [8], [9], [9], [7], [10], [5, 5], [7], [9], [], [], [], [8], [], [7], [10], [8], [10], [8], [7], [10], [10], [8], [10], [6], [10], [6, 6], [9], [4, 8]]
[[7], [8], [8], [10], [10], [8], [6], [9], [8], [9], [8], [7], [10], [10], [10], [9], [7], [10], [10], [], [9], [10], [6, 6], [8], [9], [9], [8], [10], [6, 6], [10], [10], [4, 8], [8], [], [6, 6], [9], [10], [9], [5, 5], [8], [], [7], [], [], [8], [7], [8]]
[[4, 6], [9], [6], [9], [9], [6], [10], [10], [10], [7], [8], [8], [10], [10], [9], [10], [9], [8], [10], [10], [8], [10], [8], [10], [8], [10], [6], [8], [], [8], [8], [9], [8], [6], [9], [10], [9], [5, 5], [6], [8], [7], [6], [8], [7], [], [7], [7], []]
-EndAllocation

Instance: [[1], [378], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [252, 168, 126, 101, 84, 72, 64, 56, 50, 46, 42, 40, 36, 34, 32, 30, 28, 26, 25, 24, 24, 22, 21, 21, 20, 18, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [189, 126, 95, 76, 63, 54, 48, 42, 38, 35, 32, 30, 27, 26, 24, 23, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9]]
[[4, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 8, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[4, 10, 10, 10, 10, 10, 10, 10, 10], [5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [], [5, 8, 8, 8, 10, 10], [5, 5, 9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 7, 7, 7, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 10], [10, 10, 10, 10, 10, 10, 10]]
[[4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4, 5, 6, 6, 6, 6, 6, 6, 9], [], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [5, 10], [9, 10, 10, 10, 10], [5, 5, 7, 7, 7, 7, 7, 7]]
[[4, 5, 5, 5, 5, 10, 10], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [], [8, 8, 8, 8, 8, 8], [9, 9, 9, 10], [7, 7, 7, 7, 7, 7], [8, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 10]]
[[4, 10, 10, 10, 10], [9, 9, 9, 9, 9], [10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [], [8, 8, 8], [6, 6, 9, 9, 9], [8, 8, 8, 8, 8], [5, 5, 5, 5, 6, 6, 6, 6], [10, 10, 10, 10]]
[[4, 8, 8, 8], [], [8, 8, 8, 8, 8], [5, 5, 5, 5], [10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10]]
[[4, 9, 9, 9, 9], [10, 10, 10, 10], [], [8, 8, 8, 8, 8], [], [7], [8, 8, 8, 8, 8], [9, 9, 9, 9], [5, 5, 5, 5, 10, 10], [8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [10, 10, 10, 10]]
[[4, 8, 10], [9, 9, 9, 9], [], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [10, 10, 10], [7, 7, 7, 7, 7], [5, 5, 5, 5], [8, 8, 8, 8], [7], [9, 9, 9, 9]]
[[4, 8, 8, 8], [6, 6, 6, 6, 6], [7, 7], [8, 8, 8, 8], [], [10, 10, 10], [7, 7, 7, 7], [9, 9], [8, 10], [9, 9, 9], [10, 10, 10], [5, 5, 5, 5, 8], [10, 10, 10], [6, 9, 9, 9], [8, 8, 8, 8]]
[[4, 8, 8, 8], [5, 5, 5, 5], [10, 10, 10], [6, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [], [10], [7, 7, 7, 7], [8, 8, 8, 8], [7, 7, 8, 8], [10, 10, 10], [9, 9, 9], [], [9, 9, 9], [10, 10, 10]]
[[4, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [7, 7, 10], [9, 9, 9], [7, 10, 10], [9, 9, 10], [], [5, 5, 5, 5, 8], [6], [8, 8, 8], [10, 10, 10], [9, 9, 9], [10, 10, 10], []]
[[4, 10, 10], [7, 10, 10], [8, 8, 8], [8, 8, 8], [6, 10, 10], [8, 8, 8], [], [8], [9, 9], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [5, 5, 5, 5], [7, 7, 7, 7], [7, 10, 10], [6, 10, 10], [], [9, 9, 9]]
[[4, 8, 8], [8, 8, 8], [6, 6, 6, 6], [10, 10], [9, 9], [], [10, 10], [9, 9], [7, 7, 7], [6, 8, 8], [5, 5, 5, 5, 6], [10, 10], [8, 8, 8], [9, 9], [10, 10], [7, 7, 7], [10, 10], [8, 8, 8], [9, 9]]
[[4, 8, 8], [7, 7, 7], [9], [8, 8], [10, 10], [8, 8, 8], [9, 9], [9, 9], [7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [9, 9], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [6, 6, 9], [8, 8, 8], []]
[[8, 8, 8], [], [], [9, 9], [7, 7, 7], [8, 8, 8], [10, 10], [10, 10], [4, 10, 10], [9, 9], [8, 8, 8], [7, 7, 7], [8, 9], [6, 6, 6, 6], [10, 10], [10, 10], [], [5, 5, 5, 5], [8, 8, 8], [9, 9], [6, 6, 9]]
[[4, 8, 8], [8, 8], [9, 9], [5, 5, 5, 5], [10, 10], [], [6, 6, 6, 6], [10, 10], [7, 7, 7], [], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [8, 8, 8], [], [], [10, 10], [6, 9, 9], [6, 9, 9], [10, 10]]
[[4, 8], [10, 10], [10, 10], [8, 8], [5, 5, 5, 5], [10, 10], [6, 6, 6], [8, 8], [9, 9], [10, 10], [9, 9], [8, 8], [], [10, 10], [], [6, 6, 6], [9, 9], [8, 8], [9, 9], [7, 7, 7], [7, 7, 7], [8, 8], [8, 8]]
[[10, 10], [9, 9], [9, 9], [10, 10], [4], [6, 6, 6], [8], [10, 10], [10, 10], [8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [8, 8], [9, 9], [8, 8], [9, 9], [], [7, 7, 7], [], [8, 8], [8, 8], [6, 6, 6], [8, 8]]
[[4, 8], [8, 8], [5, 5, 5, 5], [10, 10], [], [], [9, 9], [8, 8], [10, 10], [8, 8], [8, 8], [], [10, 10], [9, 9], [10, 10], [6, 6, 6], [7, 7, 7], [7, 7, 7], [8, 8], [], [9, 9], [9, 9], [6, 6, 6], [10, 10], [8, 8]]
[[4, 8], [8, 8], [8, 8], [7, 7], [10, 10], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [10, 10], [7, 7], [], [], [10, 10], [7, 7], [9, 9], [], [5, 5, 5, 5], [6, 6, 6], [6, 6, 6], [8, 8], [], [9, 9], [9, 9]]
[[8, 8], [8, 8], [10], [7, 9], [8, 8], [8, 8], [7, 7], [6, 6, 6], [9, 9], [7, 7], [10], [10], [5, 5, 5], [10], [9, 9], [8, 8], [10], [8, 10], [9, 9], [], [10], [8], [10], [4, 5, 9], [6, 6, 6], [7, 10], [8, 10]]
[[4, 8], [8, 8], [10], [8, 8], [8, 10], [10], [9, 9], [5, 5, 5], [8, 8], [10], [7, 7], [9, 9], [5], [10], [], [10], [10], [10], [6, 6, 6], [9, 9], [10], [8, 10], [9, 9], [7, 7], [7, 7], [8, 8], [6, 6, 6], [8, 8]]
[[4, 8], [8, 10], [10], [5, 10], [9, 9], [7, 7], [9, 9], [], [7, 7], [10], [], [6, 6, 6], [8, 10], [6, 6, 6], [8, 8], [8, 8], [10], [], [10], [5, 5, 5], [9, 9], [], [10], [7, 7], [8, 8], [8, 10], [9, 9], [8, 10], [8, 8]]
[[4, 9], [8, 8], [6, 9], [10], [], [9], [10], [7, 7], [7, 8], [7, 9], [8, 8], [10], [10], [7, 10], [9], [8, 8], [10], [], [8, 8], [6, 9], [10], [8, 8], [5, 5, 5], [6, 10], [10], [5, 6, 6], [7, 9], [10], [6, 9], [8, 8]]
[[4, 8], [8, 8], [6, 10], [10], [10], [9], [5, 10], [10], [5, 5, 5], [8, 8], [8, 9], [10], [7, 10], [10], [], [6, 6], [9], [7, 7], [6, 9], [7, 7], [9], [], [10], [8, 8], [9], [9], [6, 6], [8, 9], [7, 10], [8, 8], [8, 8]]
[[4, 8], [8, 8], [8, 8], [10], [9], [6, 6], [10], [10], [7, 7], [6, 10], [9], [6, 6], [5, 9], [5, 5, 5], [9], [10], [9], [9], [10], [10], [8, 8], [7, 7], [8, 8], [], [9], [10], [7, 7], [10], [9], [6, 10], [8, 8], [8, 8]]
[[6, 9], [8, 8], [7, 7], [10], [8, 8], [5, 10], [5, 5, 5], [], [7, 7], [10], [10], [6, 10], [9], [9], [], [8, 8], [], [9], [], [8, 8], [9], [7, 9], [10], [9], [7, 9], [10], [8, 8], [10], [10], [6, 8], [6, 10], [4, 6, 6], [8, 8]]
[[4, 8], [8, 8], [10], [10], [7, 7], [10], [5, 10], [9], [10], [9], [9], [10], [9], [10], [], [7, 7], [8, 8], [8, 8], [10], [6, 6], [], [9], [10], [8, 8], [6, 6], [7, 7], [9], [8, 8], [9], [6, 6], [10], [5, 5, 5], [9], [8, 8]]
[[5, 8], [9], [10], [6, 8], [8], [10], [10], [8], [5, 8], [7, 7], [7, 7], [9], [10], [6, 6], [9], [9], [10], [8], [10], [9], [9], [10], [5, 8], [9], [8], [6, 8], [8], [9], [10], [7, 7], [6, 8], [5, 8], [10], [4, 10], [6, 8]]
[[4, 9], [5, 8], [6, 8], [8], [10], [9], [9], [10], [7, 7], [9], [10], [10], [8], [9], [6, 6], [10], [10], [7, 7], [9], [8], [8], [5, 7], [8], [10], [8], [5, 9], [6, 7], [10], [8], [8], [10], [10], [8], [6, 8], [6, 8], [5, 9]]
[[4, 8], [6, 6], [10], [8], [8], [7, 7], [5, 9], [10], [6, 6], [9], [9], [10], [6, 8], [10], [10], [10], [7, 7], [10], [9], [8], [6, 8], [9], [8], [10], [8], [7, 7], [8], [9], [8], [8], [10], [5, 5], [9], [9], [8], [5, 8], [10]]
[[10], [10], [8], [9], [5, 8], [10], [9], [9], [9], [10], [9], [8], [10], [8], [5, 8], [9], [9], [10], [8], [10], [7], [8], [6, 7], [8], [8], [6, 6], [10], [10], [6, 7], [8], [6, 7], [8], [8], [4, 9], [10], [5, 8], [6, 7], [5, 7]]
[[5, 8], [10], [9], [10], [10], [7], [8], [5, 8], [8], [9], [7], [8], [8], [8], [10], [7], [9], [6, 7], [9], [10], [9], [8], [8], [10], [8], [5, 8], [7], [10], [8], [9], [6, 6], [10], [5, 8], [9], [6, 6], [10], [4, 9], [6, 7], [10]]
[[4, 8], [9], [8], [10], [8], [7], [10], [9], [6, 6], [9], [9], [8], [10], [9], [9], [8], [8], [10], [9], [7], [10], [9], [10], [8], [8], [7], [8], [5, 5], [10], [8], [10], [5, 6], [6, 7], [10], [8], [8], [6, 7], [6, 7], [5, 8], [10]]
[[4, 8], [8], [5, 8], [8], [10], [6, 7], [10], [8], [9], [8], [5, 5], [8], [8], [10], [8], [], [8], [10], [], [10], [10], [8], [8], [7], [7], [9], [10], [10], [6, 6], [10], [10], [5, 8], [9], [6, 7], [9], [9], [9], [9], [6, 7], [9], [6, 7]]
[[6, 6], [7], [8], [7], [8], [5, 5], [7], [10], [8], [8], [10], [9], [10], [9], [7], [7], [8], [10], [7], [8], [10], [10], [8], [10], [8], [10], [8], [6, 6], [9], [8], [9], [9], [10], [5, 5], [6, 6], [9], [9], [8], [9], [10], [8], [4, 8]]
[[4, 8], [6, 6], [8], [8], [8], [7], [10], [8], [8], [10], [6, 6], [10], [7], [9], [10], [], [5, 5], [9], [5, 5], [8], [10], [6, 6], [7], [9], [8], [9], [8], [8], [7], [9], [8], [10], [10], [7], [7], [10], [9], [10], [10], [9], [9], [8], [8]]
[[4, 7], [8], [8], [6, 6], [8], [10], [8], [5, 5], [9], [10], [], [8], [7], [9], [], [9], [10], [10], [8], [6, 6], [9], [7], [5, 5], [9], [10], [9], [9], [7], [8], [7], [8], [8], [8], [10], [10], [8], [10], [10], [9], [6, 6], [7], [10], [8], [8]]
[[4, 7], [7], [8], [8], [8], [5, 7], [10], [8], [9], [], [6, 6], [9], [], [10], [10], [10], [6, 6], [7], [9], [5, 5], [8], [8], [], [10], [9], [7], [9], [6, 6], [9], [8], [10], [8], [10], [8], [10], [8], [8], [8], [8], [10], [7], [9], [9], [10], [5]]
[[4, 8], [8], [8], [8], [9], [6, 6], [9], [8], [6, 6], [], [10], [6, 6], [10], [10], [8], [], [8], [10], [5, 5], [9], [8], [5, 7], [10], [7], [7], [9], [], [], [10], [9], [], [7], [10], [9], [10], [5, 7], [8], [8], [8], [8], [10], [10], [9], [7], [9], [8]]
[[4, 7], [7], [8], [8], [10], [8], [8], [8], [10], [10], [8], [10], [8], [9], [], [], [9], [], [7], [9], [10], [6, 6], [], [9], [10], [9], [5, 5], [8], [6, 6], [6, 6], [8], [9], [8], [10], [10], [10], [8], [8], [5, 5], [8], [10], [9], [9], [7], [], [7], [7]]
[[4, 6], [8], [8], [8], [8], [6], [8], [10], [10], [7], [10], [9], [5, 5], [7], [8], [9], [10], [5, 5], [9], [8], [7], [10], [10], [8], [8], [10], [9], [], [9], [10], [10], [], [8], [7], [9], [8], [9], [8], [6], [6], [7], [6], [6], [10], [8], [9], [7], []]
-EndAllocation

Instance: [[1], [377], 48]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,48. UB Alg: [252, 168, 126, 101, 84, 72, 64, 56, 50, 46, 42, 38, 36, 34, 32, 30, 28, 26, 25, 24, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [189, 126, 95, 76, 63, 54, 48, 42, 38, 35, 32, 29, 27, 26, 24, 23, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,48:
-StartAllocation
[[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [2, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9], [2, 3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 10], [5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [3, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [4, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [9, 10, 10, 10, 10, 10, 10, 10, 10, 10], [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 10, 10]]
[[], [9, 10, 10, 10, 10, 10, 10, 10], [2, 6, 6, 6, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10], [3, 7, 7, 7, 7, 10, 10, 10, 10, 10], [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8]]
[[], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [7, 7, 7, 7, 10], [10, 10, 10, 10, 10, 10, 10], [2, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 10, 10, 10, 10, 10], [4, 9, 10, 10, 10, 10, 10]]
[[], [7, 7, 7, 7, 8, 10, 10], [4, 10, 10, 10, 10, 10, 10], [2, 10, 10, 10, 10, 10, 10], [3, 6, 10, 10, 10, 10, 10], [6, 6, 9, 10, 10, 10, 10], [10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10], [10, 10, 10], [2, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 10, 10], [3, 10, 10, 10, 10], [5, 5, 5, 5, 5, 5, 5, 8, 9]]
[[], [2, 5, 10, 10, 10, 10], [7, 7, 7, 7, 10, 10], [], [4, 6, 6, 6, 9, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 10, 10, 10], [8, 10, 10, 10, 10], [10, 10, 10, 10, 10], [3, 10, 10, 10, 10]]
[[], [10, 10], [10, 10, 10, 10], [2, 10, 10, 10, 10], [9, 10, 10, 10], [5, 5, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10, 10], [3, 6, 6, 6, 10, 10], [5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 8, 10, 10, 10]]
[[], [2, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 7, 7, 7, 7], [4], [5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 10, 10], [5, 5, 5, 8], [3, 6, 10, 10, 10], [9, 10, 10, 10], [10, 10, 10, 10]]
[[], [2, 10, 10, 10], [10, 10], [10, 10, 10], [3, 4, 8, 10, 10], [10, 10, 10], [5, 5, 6, 6, 6, 10], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7], [9, 10, 10], [10, 10, 10]]
[[], [10, 10, 10], [10, 10, 10], [9, 10, 10], [10, 10, 10], [6, 6, 6, 10], [8, 10, 10], [10, 10, 10], [10], [3, 10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5, 10], [4, 10, 10, 10], [2, 5, 5, 5, 5, 5, 5]]
[[], [3, 10, 10, 10], [10, 10, 10], [10, 10, 10], [], [2, 6, 6, 6, 10], [5, 5, 5, 5, 5], [7, 7, 7, 7], [10, 10, 10], [8, 10, 10], [9, 10, 10], [10, 10, 10], [4, 10, 10], [5, 5, 5, 5, 5, 5], [10, 10, 10]]
[[], [7, 7, 7, 7], [3, 5, 10, 10], [6, 6, 6, 10], [], [10, 10, 10], [10, 10, 10], [10, 10, 10], [], [4, 10, 10], [2, 10, 10, 10], [9, 10, 10], [5, 5, 5, 5, 5, 5], [10, 10, 10], [5, 5, 5, 5, 8], [10, 10, 10]]
[[], [8, 10], [7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [10, 10, 10], [3, 10, 10], [10, 10, 10], [9, 10, 10], [5, 5, 5, 5, 5, 5], [6, 6, 6], [10, 10, 10], [2], [4, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10], []]
[[], [10, 10], [4, 5, 5, 5, 9], [3, 5, 5, 5, 8], [7, 10, 10], [7, 7, 10], [10, 10], [10, 10], [10, 10], [10, 10], [2, 10, 10], [10, 10], [10, 10], [6, 6, 6], [5, 5, 5, 5, 5], [10, 10], [7, 10, 10], [10, 10]]
[[10], [3, 10, 10], [10, 10], [6, 6, 6], [5, 5, 5, 5, 5], [10, 10], [5, 5, 5, 5, 5], [9, 10], [4, 5, 10], [10, 10], [10, 10], [10, 10], [7, 10], [10, 10], [10, 10], [2, 8, 10], [10, 10], [10, 10], [7, 7, 7]]
[[], [8, 10], [5, 5, 5, 9], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [3, 6, 6, 6], [5, 5, 5, 5, 5], [2, 7, 7, 7], [5, 5, 5, 7], [4, 10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], []]
[[], [10, 10], [2, 10, 10], [7, 10], [5, 5, 5, 5], [4, 9], [5, 5, 5, 5], [3, 10, 10], [7, 7, 7], [10, 10], [10, 10], [10, 10], [10], [10, 10], [10, 10], [10, 10], [5, 5, 5, 8], [10, 10], [6, 6, 6], [10], [10, 10]]
[[], [6, 10], [10, 10], [10, 10], [9, 10], [5, 5, 5], [5, 5, 5, 5], [10, 10], [10, 10], [10, 10], [7, 10], [2, 10, 10], [10, 10], [10, 10], [5, 5, 5, 5], [], [3, 6, 6, 8], [10, 10], [], [7, 7, 7], [4, 10, 10], [10, 10]]
[[], [10, 10], [10, 10], [5, 5, 5, 5], [10, 10], [5, 5, 5, 5], [7], [10, 10], [10, 10], [8, 10], [10, 10], [], [7, 7, 7], [10, 10], [4, 5, 10], [3, 10], [5, 5], [10, 10], [2, 10, 10], [10, 10], [10], [6, 6, 6], [9, 10]]
[[], [7, 7, 7], [10, 10], [9, 10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6], [8, 10], [5, 5, 5, 5], [10, 10], [10, 10], [], [10, 10], [2, 10], [5, 5, 5], [3, 4], [7], [5, 5, 5, 5], [10, 10], [10, 10], [], [10, 10]]
[[], [10, 10], [10, 10], [5, 5, 5, 5], [], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6], [], [2], [], [9, 10], [4, 10], [10, 10], [10, 10], [7, 10], [7, 7, 7], [5, 5, 5], [5, 5, 5, 5], [3, 10], [8, 10]]
[[], [3, 10], [10, 10], [9, 10], [10, 10], [2], [8, 10], [10, 10], [7, 7], [5, 5, 5, 5], [7, 7], [], [4], [10, 10], [10, 10], [], [10, 10], [5, 5, 5, 5], [], [10, 10], [10, 10], [10, 10], [10, 10], [5, 5, 5], [6, 6, 6], [10, 10]]
[[10], [5, 10], [10], [10], [2, 10], [4, 10], [7, 10], [5, 10], [10], [5, 10], [5, 10], [6, 6, 6], [7, 10], [3, 10], [5, 10], [5, 10], [10], [5, 10], [5, 10], [10], [5, 9], [7, 10], [5, 10], [5, 10], [8, 10], [10], [7, 10]]
[[10], [10], [5, 5, 5], [2, 6, 10], [5, 10], [6, 9], [4, 10], [10], [5, 10], [10], [7, 10], [3, 5, 10], [10], [5, 10], [10], [8, 10], [7, 10], [10], [10], [7, 10], [5, 5, 5], [10], [6, 10], [10], [5, 10], [10], [7, 10], [10]]
[[10], [10], [5, 6, 6], [5, 10], [10], [5, 10], [5, 10], [10], [6, 10], [3, 10], [5, 10], [5, 10], [5, 10], [5, 10], [5, 10], [2, 8], [10], [10], [4, 10], [10], [7, 7], [9], [10], [10], [10], [5, 10], [7, 10], [5, 10], [7, 10]]
[[10], [10], [10], [7, 7], [5, 10], [6, 8], [10], [5, 10], [5, 5, 5], [9], [6, 10], [10], [10], [5, 10], [3, 10], [5, 10], [10], [6, 10], [4, 10], [2, 5, 10], [5, 10], [10], [10], [10], [10], [5, 10], [7, 7], [10], [10], [5, 10]]
[[10], [5, 5, 5], [5, 10], [5, 10], [10], [10], [10], [4, 6, 7], [10], [10], [10], [10], [10], [7, 10], [10], [3, 10], [10], [10], [2, 5, 9], [10], [5, 10], [8], [10], [5, 10], [10], [6, 6], [5, 10], [5, 10], [7, 7], [10], [5, 10]]
[[7, 9], [5, 10], [10], [7, 7], [10], [10], [5, 10], [10], [10], [10], [10], [4, 10], [10], [10], [10], [10], [6, 6], [10], [6, 10], [2, 10], [5, 5, 5], [5, 5, 5], [10], [7, 8], [3, 10], [10], [10], [10], [10], [10], [5, 5, 5], [10]]
[[10], [6, 10], [10], [7, 9], [7, 7], [10], [10], [10], [10], [4, 6, 6], [10], [10], [7, 8], [5, 5], [10], [10], [10], [10], [10], [10], [2, 10], [10], [5, 5, 5], [3, 10], [10], [5, 5, 5], [10], [10], [10], [10], [10], [5, 5, 5], [10]]
[[10], [10], [10], [5, 5, 5], [10], [10], [3, 10], [9], [10], [7, 7], [8], [10], [10], [10], [7, 7], [5, 10], [5, 5, 5], [10], [10], [5, 5, 5], [5, 10], [10], [2, 10], [10], [10], [10], [10], [4, 10], [10], [6], [10], [6, 6], [10], [10]]
[[10], [5, 5], [10], [10], [10], [5, 9], [10], [10], [10], [5, 5], [10], [5, 8], [10], [10], [10], [4, 10], [10], [5, 5], [10], [10], [2, 10], [7, 7], [10], [10], [5, 6], [6, 6], [7, 7], [10], [5, 5], [10], [3, 10], [10], [10], [10], [10]]
[[10], [10], [10], [10], [10], [3, 10], [5, 5], [2, 10], [10], [10], [10], [5, 5], [10], [10], [10], [7, 7], [10], [10], [10], [4, 10], [10], [10], [10], [6, 7], [5, 7], [10], [5, 5], [9], [5, 5], [10], [10], [6, 6], [10], [10], [5, 5], [8]]
[[10], [10], [10], [10], [10], [6, 6], [5, 5], [10], [10], [10], [10], [7, 7], [2, 10], [10], [10], [5], [10], [10], [10], [10], [5, 9], [8], [10], [7, 7], [10], [10], [5, 5], [6], [10], [10], [5, 5], [10], [10], [5, 5], [10], [3, 4, 5], [10]]
[[10], [10], [5, 5], [7], [6], [10], [10], [10], [5, 7], [10], [10], [10], [10], [10], [10], [10], [10], [7], [10], [10], [10], [10], [5, 5], [9], [2, 10], [6, 6], [10], [10], [5, 5], [5, 5], [3, 4, 5], [10], [10], [7], [10], [10], [5, 8], [10]]
[[10], [5, 5], [10], [10], [10], [3, 10], [10], [10], [10], [2, 10], [10], [10], [9], [6, 6], [10], [10], [10], [10], [7], [10], [10], [10], [10], [5, 7], [10], [7], [6], [5, 5], [5, 5], [10], [10], [7], [10], [5, 5], [4], [10], [10], [5, 5], [8]]
[[10], [6, 6], [3, 10], [10], [5, 5], [10], [5, 6], [10], [10], [10], [10], [10], [8], [9], [10], [5, 5], [5, 5], [5], [10], [4, 5], [10], [10], [10], [10], [10], [2, 7], [10], [10], [10], [10], [10], [10], [10], [10], [5, 5], [10], [7], [7], [], [7]]
[[10], [10], [5, 5], [10], [10], [10], [10], [10], [10], [5, 7], [5, 5], [], [7], [4, 6], [5, 5], [10], [8], [10], [10], [10], [6, 6], [2, 5, 5], [10], [3, 10], [5, 5], [10], [10], [10], [10], [7], [10], [10], [], [10], [10], [10], [], [9], [10], [7], [10]]
[[10], [10], [10], [4, 5], [10], [5, 5], [10], [8], [5, 5], [10], [10], [10], [10], [], [10], [5, 5], [9], [5, 5], [3, 7], [5, 5], [10], [], [], [2, 10], [7], [10], [7], [10], [10], [10], [6, 6], [10], [10], [10], [10], [10], [7], [10], [6], [10], [10], [10]]
[[10], [], [5, 5], [7], [10], [10], [5, 5], [10], [10], [10], [], [], [10], [10], [10], [2, 10], [10], [6, 6], [9], [5, 5], [10], [5, 5], [10], [10], [5, 7], [3], [10], [10], [10], [8], [10], [10], [4, 7], [10], [6], [10], [5, 5], [10], [], [10], [10], [10], [7]]
[[7], [6, 6], [10], [2, 10], [3], [10], [10], [8], [10], [5, 5], [10], [4], [10], [5, 5], [10], [5], [5, 5], [10], [7], [10], [10], [7], [10], [5, 5], [], [10], [10], [10], [10], [], [7], [10], [9], [10], [10], [], [10], [10], [5, 5], [6], [10], [10], [10], [10]]
[[10], [10], [10], [10], [5, 7], [10], [10], [10], [10], [5, 5], [10], [6, 6], [10], [], [3], [10], [10], [10], [], [5, 5], [10], [5], [10], [10], [7], [10], [2, 10], [5, 6], [5, 5], [10], [5, 5], [9], [10], [10], [4], [10], [], [8], [], [], [10], [7], [10], [7], [10]]
[[], [10], [10], [10], [5, 5], [10], [], [10], [10], [4], [10], [9], [5, 5], [10], [], [3, 7], [10], [10], [10], [10], [10], [10], [5, 7], [], [], [7], [10], [10], [5, 5], [10], [10], [7], [6], [10], [10], [2, 10], [5, 5], [5, 5], [10], [10], [], [10], [], [10], [8], [6, 6]]
[[10], [5, 5], [5, 5], [10], [10], [3, 5], [7], [9], [7], [], [10], [10], [8], [10], [], [10], [], [4], [10], [10], [7], [10], [2, 5, 5], [10], [10], [10], [6], [10], [10], [10], [10], [10], [10], [7], [], [10], [10], [5, 5], [], [10], [10], [], [10], [5, 5], [10], [6, 6], []]
[[10], [10], [], [10], [], [10], [10], [8], [10], [10], [10], [], [10], [10], [], [10], [10], [5, 5], [7], [5, 5], [], [10], [10], [5, 5], [6], [10], [9], [], [10], [10], [10], [7], [10], [6], [6], [5, 5], [10], [3], [10], [2], [7], [10], [7], [5, 5], [4, 5], [10], [10], [10]]
-EndAllocation

Instance: [[1], [392], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [261, 174, 130, 105, 88, 74, 65, 58, 53, 48, 44, 41, 37, 36, 33, 32, 29, 28, 26, 25, 24, 24, 22, 21, 21, 20, 18, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [196, 131, 98, 79, 66, 56, 49, 44, 40, 36, 33, 31, 28, 27, 25, 24, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 10]]
[[10], [8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8], [7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 9, 9, 9, 9, 10, 10], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [6, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [6, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [8, 8, 8, 8, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 10, 10, 10, 10]]
[[], [6, 6, 6, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9, 9, 10, 10]]
[[], [10, 10, 10, 10, 10], [6, 7, 7, 7, 7, 10], [10, 10, 10, 10, 10], [], [8, 8, 8, 8, 10, 10], [7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [7, 10, 10, 10, 10], [6, 6, 6], [7, 7, 7, 7, 7], [10, 10, 10, 10], [10, 10, 10, 10], [9, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 10], [8, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 10], [10, 10, 10, 10], [6, 6, 6], [6, 6, 6, 6, 6, 6, 6], [10], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[], [], [7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [6, 6, 6, 6, 6, 10], [10, 10], [10, 10, 10, 10], [7, 10, 10, 10]]
[[], [6, 10, 10, 10], [6, 6, 6, 6, 6, 7], [6], [6, 10, 10, 10], [6, 10, 10, 10], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [6, 10, 10, 10], [10, 10, 10], [6, 10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7]]
[[], [6, 6, 6, 6, 6, 6], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7], [7, 7, 7, 7, 7], [], [10, 10, 10], [9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6], [7, 7], [6, 6, 6, 6, 6], [6, 6, 9, 9], [6, 6, 6, 6, 6], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10], [9, 9, 10], [10, 10, 10], [7, 7, 7, 7]]
[[], [9, 9, 9], [10, 10, 10], [6, 6], [9], [6, 6, 6, 6, 6], [7, 7], [], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10]]
[[], [10, 10], [10, 10], [6, 10, 10], [9, 9, 9], [10, 10], [6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 9], [6, 6, 6, 6], [6, 6, 8, 8], [6, 6, 7, 7], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10]]
[[], [9, 10], [8, 8, 8], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9, 9], [10, 10], [], [6, 6, 6, 6], [7, 7, 10], [10, 10], [6, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6], [6, 10, 10], [6, 6, 6, 6], [6, 6, 6, 8]]
[[], [6, 6, 6, 6], [10, 10], [], [6, 6, 6, 6], [10, 10], [10, 10], [6, 6, 6, 6], [7, 7, 7], [7, 7, 7], [8, 8, 8], [8, 9, 9], [6, 10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10]]
[[], [10, 10], [7, 9, 9], [10, 10], [], [9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [6, 6, 6, 6], [6, 7, 7], [6, 6, 6, 6], [7, 7, 7], [8], [8, 8, 8], [10, 10], [10, 10]]
[[], [10, 10], [10, 10], [8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [8, 9], [7, 7, 7], [9], [10, 10], [10, 10], [10, 10], [7, 7, 7], [6, 6, 6, 6], [6, 9, 9], [], [10, 10], [], [6, 6, 6, 6]]
[[], [7, 7, 7], [10, 10], [7, 7, 7], [6, 6, 6, 6], [6, 10], [9, 9], [8, 8, 8], [], [6, 6, 6, 6], [10, 10], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9], [10, 10], [8, 10], [10, 10], [10, 10], [10, 10], [6, 6, 6, 6], [], []]
[[], [6, 8, 8], [10, 10], [7, 7, 7], [6, 10], [6, 6, 6], [6, 6, 6], [7, 7, 7], [8, 8], [10, 10], [9, 9], [6, 6, 6], [10], [10, 10], [10, 10], [6, 6, 6], [9, 9], [6, 6, 6], [10, 10], [], [10, 10], [10, 10], [10, 10], []]
[[], [10, 10], [6, 6, 6], [], [10, 10], [8, 8], [6, 6, 6], [10, 10], [9, 9], [10, 10], [10, 10], [7, 7, 7], [6, 6], [], [10, 10], [9, 9], [8, 8], [6, 6, 6], [], [7, 7, 7], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [10, 10]]
[[], [9, 9], [10], [8, 8], [], [10, 10], [10, 10], [10, 10], [7, 7], [10, 10], [6, 6, 6], [7, 8], [7, 7, 7], [10, 10], [6, 6, 6], [6, 6], [6, 6, 6], [8, 9], [10, 10], [], [6, 6, 6], [9, 10], [10, 10], [10, 10], [], [6, 6, 6]]
[[], [10, 10], [6, 6, 6], [9, 9], [6, 7, 7], [8, 8], [], [10, 10], [10, 10], [6, 6, 6], [6, 7, 7], [], [10, 10], [10, 10], [8, 8], [6, 6, 6], [], [10, 10], [10, 10], [6, 6, 6], [9, 9], [7, 7], [], [], [10, 10], [10, 10], [6, 6, 6]]
[[10], [8, 8], [7, 7], [10], [10], [7, 10], [7, 10], [7, 7], [9, 9], [10], [6, 10], [10], [10], [9, 9], [8, 8], [6, 6, 6], [6, 10], [10], [10], [6, 10], [6, 6, 6], [6, 6, 6], [10], [10], [6, 10], [6, 10], [6, 6, 6], [10]]
[[10], [10], [10], [10], [6, 6, 6], [9, 9], [10], [6, 6, 6], [6, 10], [8, 8], [10], [8, 8], [10], [6, 6, 6], [6, 6, 6], [7, 7], [10], [10], [6, 6, 6], [10], [10], [10], [6, 10], [7, 10], [7, 7], [9, 9], [10], [7, 10], [10]]
[[10], [7, 7], [6, 6, 6], [10], [7, 7], [10], [10], [10], [10], [10], [9, 9], [9, 9], [8, 8], [10], [10], [10], [7, 7], [10], [6, 10], [8, 8], [10], [6, 6, 6], [6, 6, 6], [10], [6, 6, 6], [10], [6, 6, 6], [10], [10], [6, 10]]
[[10], [10], [10], [7, 7], [6, 10], [6, 6], [6, 10], [10], [6, 6], [6, 9], [10], [7, 7], [10], [10], [6, 10], [7, 7], [6, 9], [6, 6], [10], [10], [10], [6, 10], [8, 8], [10], [8, 9], [6, 6], [9], [6, 10], [6, 10], [8], [6, 10]]
[[9], [6, 6], [10], [6, 6], [10], [8, 8], [7, 10], [10], [6, 6], [10], [6, 10], [10], [10], [10], [7, 7], [6, 10], [9], [6, 6], [7, 10], [6, 6], [6, 10], [6, 6], [8, 8], [10], [10], [7, 7], [6, 10], [10], [10], [9], [6, 9], [10]]
[[10], [9], [10], [10], [7, 7], [10], [6, 9], [9], [6, 6], [6, 10], [6, 6], [6, 6], [6, 10], [6, 10], [10], [10], [10], [10], [8, 8], [7, 7], [8, 8], [6, 6], [6, 6], [10], [6, 10], [10], [10], [6, 6], [7, 7], [10], [10], [10], [9]]
[[10], [7, 7], [6, 6], [10], [10], [7, 7], [9], [6, 6], [6, 6], [10], [10], [6, 6], [9], [10], [9], [10], [10], [6, 6], [6, 6], [7, 7], [8, 8], [10], [10], [6, 10], [10], [10], [10], [6, 9], [10], [10], [6, 10], [10], [8, 8], [6, 6]]
[[10], [6, 6], [6, 6], [6, 6], [10], [9], [6, 10], [10], [10], [10], [7, 7], [9], [6, 6], [6, 6], [8, 8], [7, 7], [10], [10], [8, 8], [6, 6], [9], [10], [9], [10], [6, 10], [10], [10], [], [10], [6, 6], [6, 10], [7, 7], [10], [10], [10]]
[[10], [10], [6, 6], [6, 6], [10], [6, 8], [7, 7], [9], [10], [6, 8], [10], [7, 7], [9], [10], [6, 6], [10], [10], [10], [6, 6], [6, 6], [10], [6, 8], [10], [10], [8], [9], [10], [10], [6, 6], [10], [9], [10], [7, 7], [10], [10], [6, 6]]
[[10], [9], [6, 6], [10], [10], [10], [10], [9], [6, 6], [10], [7, 7], [10], [9], [7, 7], [6, 6], [6, 6], [10], [8], [10], [8], [10], [10], [7, 7], [10], [10], [6, 6], [10], [6, 6], [10], [6, 6], [8], [10], [6, 6], [10], [10], [9], [6, 8]]
[[10], [10], [6, 6], [8], [6], [10], [10], [10], [6, 6], [6, 6], [6, 6], [10], [6, 6], [9], [7, 7], [6, 6], [10], [10], [8], [10], [10], [8], [10], [10], [6, 6], [7, 7], [10], [10], [7, 7], [9], [10], [9], [10], [9], [10], [8], [6, 6], [10]]
[[10], [10], [7, 7], [6, 6], [6, 6], [10], [], [10], [10], [6, 8], [10], [10], [6, 6], [7, 7], [10], [9], [10], [10], [10], [], [10], [10], [9], [6, 6], [10], [10], [10], [9], [8], [9], [8], [6, 6], [10], [10], [7, 7], [6, 6], [6, 6], [8], [6, 6]]
[[10], [6, 6], [10], [10], [10], [6, 6], [10], [10], [7], [10], [9], [8], [8], [10], [10], [10], [9], [6, 7], [9], [10], [10], [7], [7], [9], [6, 6], [6], [10], [10], [8], [10], [10], [10], [6, 6], [10], [6, 7], [6, 6], [8], [7], [6, 6], [6, 6]]
[[10], [10], [10], [9], [8], [7], [7], [6, 6], [9], [8], [], [6, 6], [6, 6], [10], [10], [6, 6], [6, 6], [10], [10], [10], [6, 7], [10], [8], [], [8], [6, 6], [9], [10], [10], [10], [10], [10], [10], [6, 6], [7], [6, 7], [10], [9], [6, 7], [10], [10]]
[[10], [6, 6], [9], [7], [10], [6, 6], [9], [], [10], [10], [6, 6], [8], [10], [9], [7], [10], [8], [7], [10], [10], [6, 6], [10], [10], [10], [], [10], [10], [6, 7], [6, 6], [6, 6], [9], [6], [10], [10], [8], [6, 6], [7], [8], [10], [10], [6, 7], [10]]
[[8], [7], [9], [10], [10], [10], [10], [10], [6, 6], [8], [9], [6], [10], [6, 6], [10], [6, 6], [10], [6, 6], [10], [7], [10], [7], [10], [6, 6], [8], [6, 7], [10], [7], [6, 7], [9], [10], [10], [10], [], [], [10], [10], [6, 6], [], [8], [9], [6, 6], [10]]
[[9], [7], [10], [10], [], [10], [10], [7], [10], [6, 6], [10], [6, 6], [7], [10], [6, 6], [10], [7], [7], [6, 6], [9], [10], [10], [8], [8], [7], [10], [10], [8], [8], [], [10], [9], [9], [6], [6, 6], [], [10], [10], [10], [6, 6], [6, 6], [6, 6], [10], [10]]
[[10], [10], [10], [6, 6], [10], [10], [10], [6, 6], [7], [6, 6], [6, 6], [10], [], [10], [6, 6], [10], [6, 6], [10], [8], [7], [9], [10], [10], [7], [7], [8], [10], [], [7], [9], [10], [9], [10], [6, 6], [8], [10], [6], [7], [6, 6], [], [10], [], [10], [8], [9]]
[[10], [8], [9], [10], [7], [10], [], [], [7], [7], [10], [6, 6], [6, 6], [6, 6], [10], [8], [6, 6], [9], [10], [6, 6], [7], [10], [6], [7], [8], [10], [10], [10], [7], [10], [], [9], [6, 6], [], [6, 6], [6, 6], [10], [], [10], [10], [10], [9], [10], [10], [8], [10]]
[[10], [10], [10], [], [6, 6], [10], [9], [6, 6], [10], [7], [10], [10], [10], [6, 6], [10], [7], [], [9], [], [10], [], [8], [8], [7], [10], [8], [10], [7], [6, 6], [6], [9], [10], [8], [6, 6], [], [10], [10], [10], [9], [6, 6], [7], [10], [6, 6], [10], [6, 6], [7], []]
[[8], [6, 6], [6, 6], [10], [10], [7], [8], [10], [10], [10], [], [10], [6, 6], [6, 6], [9], [9], [6, 6], [10], [7], [10], [], [7], [6, 6], [10], [9], [10], [6], [10], [10], [8], [8], [], [], [10], [], [], [9], [10], [7], [10], [6, 6], [10], [7], [10], [6, 6], [7], [10], []]
[[7], [6], [10], [7], [10], [7], [10], [9], [10], [6], [7], [9], [6], [6], [7], [10], [10], [6], [7], [8], [10], [10], [10], [10], [10], [10], [10], [8], [6], [6], [6], [8], [6], [6], [9], [6], [10], [10], [6], [10], [8], [10], [6], [6], [9], [6], [10], [6], [6]]
-EndAllocation

Instance: [[1], [391], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [261, 174, 130, 105, 88, 74, 65, 58, 53, 48, 44, 41, 37, 36, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 21, 20, 18, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [196, 131, 98, 79, 66, 56, 49, 44, 40, 36, 33, 31, 28, 27, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 16, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9], [4, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 10, 10], [5, 5, 5, 5, 8]]
[[4, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9]]
[[4, 5, 5, 5, 5, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10, 10, 10]]
[[4, 6, 7, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 9, 9, 9], [], [6, 6, 6, 6, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 9, 9], [6, 6, 6, 6, 6, 8, 8, 8], [4, 8, 8, 8, 10, 10, 10], [8, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8], [10, 10, 10, 10], [], [5, 5, 5, 5, 8, 8, 8], [10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8], [10, 10], [10, 10, 10, 10, 10], []]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [9, 9], [6, 6, 6, 6, 6, 8, 8], [], [5, 5, 5, 5], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [4, 10, 10, 10, 10], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [10, 10, 10, 10], [5, 5, 5, 5, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [], [8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 9], [], [9, 9, 9, 9], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8], [7, 7, 7, 7, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9, 9], [9, 9, 9], [], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [7], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6], [], [], [7, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 5, 5, 8, 8]]
[[4, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9], [10, 10, 10], [], [5, 5, 5, 7, 8], [8, 8, 8, 8], [8], [10, 10, 10], [5, 6, 6, 6, 6, 6], [], [9, 9, 9, 9]]
[[8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [], [], [7, 7, 8, 9], [9, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [4, 8], [5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8]]
[[4, 8, 8, 8], [7, 7], [8, 8, 8], [10, 10, 10], [10, 10, 10], [8, 8, 8], [], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [5, 5, 5, 5, 9], [8, 8], [10, 10, 10], [9, 9, 9], []]
[[10, 10], [10, 10], [9, 9, 9], [9, 9, 9], [8, 8, 8], [], [9, 10, 10], [8, 8, 8], [8, 8, 8], [8, 10, 10], [6, 10, 10], [4, 5, 5, 5, 5], [8, 10, 10], [7, 7, 7, 7], [8, 8, 8], [6, 6, 6, 6], [7, 7], []]
[[4, 10, 10], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5, 7], [8, 8, 8], [9, 9, 9], [8, 10, 10], [7, 7, 7, 7], [9, 9, 9], [8, 10, 10], [6], [], [7, 9], [8, 8, 8], [], [10, 10], [6, 6, 6, 6], [8, 8, 8]]
[[8, 8, 10], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8], [8, 8, 9], [9, 9], [10, 10], [8, 8], [4, 8, 8], [8, 8, 10], [5, 5, 5, 5], [7, 7, 7], [6, 9, 9], [6, 6, 6, 6], [], [10, 10], [8, 8], [10, 10]]
[[8, 8, 8], [4, 10, 10], [5, 10, 10], [5, 5, 5, 10], [10, 10], [], [6, 6, 6, 6], [10, 10], [7, 7, 7], [], [9], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7, 7], [8, 8, 8], [9, 9], [9, 9], [8, 8], [9, 9], [6, 10]]
[[8, 8, 8], [4, 10, 10], [9], [10, 10], [9, 9], [7, 7, 7], [], [6], [10, 10], [7, 7, 7], [], [6, 6, 6, 6], [8, 8, 8], [10, 10], [8, 8], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8, 8], [8, 8, 8]]
[[6, 8, 8], [10, 10], [10, 10], [4, 8, 8], [10, 10], [9, 9], [9], [8, 8], [6, 8, 8], [10, 10], [], [8, 8], [10, 10], [7, 7, 7], [9, 9], [7, 7, 7], [8, 8], [6, 6, 6], [10, 10], [], [9, 9], [5, 5, 5, 5], [8, 8]]
[[4, 6, 8], [9], [10, 10], [10, 10], [5, 5], [], [9, 9], [8, 8], [], [9, 9], [8, 8], [10, 10], [8, 8], [8, 8], [10, 10], [10, 10], [7, 7, 7], [8, 8], [5, 5, 8], [7, 7, 7], [6, 8, 8], [6, 6, 6], [10, 10], [9, 9]]
[[4, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [9, 10], [8, 8], [8, 8], [8, 10], [8, 8], [9, 10], [9], [6, 9], [6, 8], [6, 6, 6], [10, 10], [10, 10], [], [10, 10], [], [], [8, 8], [9, 9], [9, 10], [7, 7, 7], [8, 8]]
[[4, 8, 8], [8, 8], [10, 10], [8, 8], [6, 6, 6], [10, 10], [10, 10], [], [9, 9], [8, 8], [], [7, 7, 7], [8, 8], [9], [7, 7, 7], [10, 10], [], [9, 9], [10, 10], [5, 5, 5, 5], [8, 8], [6, 6], [10, 10], [9, 9], [], [8, 8]]
[[4, 8, 8], [8, 8], [7, 7], [6, 6, 6], [], [], [9], [10, 10], [7, 7], [10, 10], [9, 9], [7, 7], [], [8, 8], [8, 8], [10, 10], [6, 6], [10, 10], [], [10, 10], [8, 8], [9, 9], [10, 10], [9, 9], [8, 8], [5, 5, 5, 5], [8, 8]]
[[8, 8], [8, 8], [8, 8], [10], [5, 5, 5], [4, 6], [5, 10], [8, 10], [9], [9, 9], [], [10], [10], [7, 10], [6, 6, 6], [10], [7, 10], [6, 10], [9, 9], [10], [8, 8], [10], [7, 7], [7, 7], [8, 10], [8, 8], [9, 9], [8, 8]]
[[8, 8], [4, 7, 7], [10], [7, 7], [10], [8, 10], [10], [6, 10], [8, 8], [10], [8, 8], [6, 6, 6], [9, 9], [], [5], [8, 8], [7, 7], [10], [9, 9], [10], [8, 8], [9, 9], [10], [8, 10], [9], [5, 5, 5], [6, 10], [10], [8, 8]]
[[8, 8], [8, 8], [4, 10], [8, 8], [10], [7, 7], [8, 8], [8, 8], [8, 8], [], [], [7, 7], [], [7, 10], [10], [10], [10], [8, 8], [9], [10], [5, 5, 5], [7, 10], [9, 9], [5, 10], [10], [6, 10], [6, 10], [9, 9], [6, 6, 6], [9, 9]]
[[8, 8], [8, 8], [4, 10], [10], [10], [8, 8], [8, 9], [7, 7], [8, 8], [8, 8], [7, 7], [10], [9], [10], [9], [10], [9], [9], [7, 7], [6, 6], [10], [6, 6], [5, 10], [5, 5, 5], [10], [10], [10], [8, 9], [10], [6, 9], [8, 8]]
[[8, 8], [8, 8], [5, 10], [6, 9], [4, 6], [10], [6, 6], [], [7, 10], [], [5, 5, 5], [9], [7, 7], [9], [10], [8, 8], [7, 7], [9], [10], [10], [10], [8, 8], [10], [7, 10], [10], [10], [9], [6, 10], [8, 9], [8, 8], [8, 9], [8, 8]]
[[6, 9], [6, 8], [4, 10], [7, 7], [5, 9], [9], [7, 7], [10], [9], [10], [10], [6, 6], [5, 5, 5], [8, 8], [10], [10], [], [7, 7], [10], [8, 8], [8, 8], [10], [10], [10], [9], [8, 8], [9], [9], [10], [8, 8], [8], [6, 10], [8, 8]]
[[8, 8], [8, 8], [4, 9], [], [5, 9], [10], [10], [6, 7], [8, 8], [5, 5, 5], [9], [], [7, 7], [8, 8], [10], [10], [10], [10], [9], [8, 8], [10], [10], [10], [9], [10], [8, 8], [6, 6], [9], [10], [6, 6], [10], [7, 9], [8, 8], [7, 7]]
[[8, 8], [4, 10], [9], [], [8, 8], [8, 8], [], [9], [7, 9], [7, 7], [9], [], [9], [7, 9], [10], [], [10], [10], [10], [8, 8], [8, 8], [8, 8], [10], [9], [5, 10], [6, 10], [10], [7, 7], [5, 5, 5], [6, 6], [10], [6, 6], [10], [10], [8, 8]]
[[4, 9], [5, 9], [6, 8], [10], [10], [6, 8], [10], [6, 8], [6, 8], [6, 8], [7, 7], [10], [5, 9], [8], [10], [8], [5, 9], [8], [5, 9], [10], [8], [10], [9], [8], [8], [8], [9], [8], [10], [8], [10], [7, 7], [10], [10], [10], [7, 7]]
[[5, 8], [5, 8], [6, 8], [6, 8], [6, 8], [10], [10], [10], [9], [10], [10], [10], [5, 5], [7, 7], [7, 7], [9], [8], [8], [7, 7], [6, 8], [6, 8], [10], [9], [9], [8], [8], [8], [8], [8], [9], [9], [10], [10], [10], [10], [10], [4, 9]]
[[9], [8], [5, 5], [6, 8], [8], [10], [5, 5], [6, 8], [9], [8], [6, 8], [10], [9], [7, 7], [10], [9], [10], [10], [8], [10], [10], [8], [10], [8], [10], [10], [9], [8], [8], [8], [7, 7], [10], [7, 7], [6, 8], [6, 8], [9], [9], [4, 10]]
[[4], [6, 8], [5, 8], [5, 8], [6, 8], [10], [5, 8], [8], [10], [9], [7, 7], [6, 8], [8], [6, 8], [10], [10], [10], [10], [10], [7, 7], [9], [7, 7], [10], [9], [10], [10], [9], [9], [8], [8], [8], [6], [], [9], [8], [9], [10], [5, 8], [10]]
[[6, 7], [10], [9], [9], [6], [5, 8], [10], [8], [8], [5, 8], [10], [10], [8], [10], [9], [9], [10], [10], [6, 7], [9], [10], [10], [9], [10], [10], [8], [8], [8], [8], [6, 7], [6, 7], [7], [10], [5, 8], [8], [8], [9], [5, 8], [7], [4, 8]]
[[10], [4], [10], [5, 8], [9], [10], [8], [8], [9], [8], [8], [8], [9], [6, 7], [8], [9], [6, 7], [8], [9], [9], [6, 7], [8], [6, 7], [10], [6, 7], [10], [8], [10], [10], [10], [10], [7], [5, 8], [8], [10], [5, 8], [5, 8], [9], [10], [], [10]]
[[8], [8], [8], [10], [10], [7], [8], [10], [9], [5, 8], [9], [10], [7], [8], [10], [10], [9], [5, 7], [10], [7], [9], [10], [8], [10], [5, 5], [8], [6, 6], [8], [8], [9], [8], [8], [9], [6, 6], [9], [8], [8], [10], [10], [10], [6, 7], [4, 7]]
[[5, 8], [], [5, 8], [5, 8], [], [4, 8], [8], [5, 8], [6, 7], [10], [9], [6], [10], [10], [7], [10], [10], [8], [10], [9], [10], [9], [8], [10], [9], [8], [6, 7], [9], [9], [10], [6, 7], [7], [9], [8], [], [10], [8], [6, 7], [10], [10], [8], [8], [8]]
[[7], [6, 6], [4, 6], [9], [8], [5, 7], [9], [8], [9], [10], [8], [8], [10], [8], [8], [10], [8], [9], [8], [10], [10], [8], [10], [5, 5], [8], [10], [10], [8], [10], [8], [8], [8], [9], [5, 7], [7], [10], [9], [7], [6], [9], [10], [6], [10], [7]]
[[8], [8], [10], [6, 6], [8], [5, 7], [9], [8], [9], [5, 7], [9], [9], [9], [9], [10], [10], [7], [4, 6], [9], [10], [10], [10], [7], [8], [10], [5, 5], [], [10], [8], [10], [6, 6], [10], [8], [8], [8], [10], [7], [7], [8], [], [8], [10], [8], [8], [8]]
[[5, 7], [9], [5, 7], [9], [8], [8], [9], [10], [8], [9], [5, 6], [5, 6], [8], [10], [10], [8], [6], [7], [10], [10], [10], [8], [10], [10], [7], [9], [10], [10], [8], [10], [7], [10], [8], [7], [8], [8], [9], [8], [8], [6, 6], [], [9], [], [8], [], [4, 8]]
[[4, 6], [5, 7], [10], [10], [10], [8], [10], [8], [8], [10], [9], [6, 6], [9], [10], [9], [9], [9], [6, 6], [10], [10], [10], [5, 7], [8], [9], [8], [7], [7], [8], [8], [10], [10], [10], [8], [7], [9], [], [8], [], [5, 5], [8], [8], [8], [], [], [8], [8], [7]]
[[8], [7], [8], [10], [8], [8], [10], [8], [9], [4, 7], [10], [10], [], [10], [9], [], [], [10], [10], [5, 5], [8], [8], [6], [], [9], [9], [8], [9], [9], [7], [6, 6], [8], [10], [10], [5], [10], [8], [8], [8], [7], [6, 6], [9], [8], [10], [10], [7], [8], [5, 7]]
[[5, 5], [8], [10], [4, 6], [6], [10], [], [9], [10], [6], [10], [9], [8], [9], [10], [10], [8], [5, 5], [9], [9], [7], [10], [9], [9], [7], [7], [7], [6], [10], [6], [7], [7], [8], [8], [10], [8], [8], [8], [10], [8], [10], [], [], [8], [8], [8], [8], [10], [8]]
-EndAllocation

Instance: [[1], [390], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [260, 173, 130, 104, 86, 74, 65, 58, 52, 48, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [195, 130, 98, 78, 65, 56, 49, 44, 39, 36, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8], [6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 7, 7, 7, 7, 7, 7], [6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9]]
[[8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [6, 6, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [7, 10, 10, 10], [7, 7, 7, 7, 7, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10, 10]]
[[], [7, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 10, 10]]
[[], [], [6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 10], [8, 8, 8, 8, 8, 8, 8], [7, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 10], [8]]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10], [], [7, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8], [9, 9, 9, 9, 10]]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [8, 8, 10, 10], [6, 6, 6, 6, 6, 6, 6], [], [6, 10, 10, 10], [8, 8, 8, 8, 8], [6, 9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6], [9, 9, 9, 9], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 7], [6, 6, 6, 6, 8, 8]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10], [7, 10, 10, 10], [9, 9, 9, 9], [], [6, 6, 6, 6, 10], [8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[], [], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10], [6, 6, 6, 6, 10], [10, 10, 10], [6, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [9, 10, 10], [10, 10, 10], [6, 7, 7, 7, 7], [7, 7, 10, 10]]
[[], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10], [9, 10, 10], [6, 6, 6, 6, 6], [7], [9, 9, 9], [6, 6, 6, 6, 6], [7, 8, 8, 8], [10, 10, 10], [6], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10]]
[[], [10], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6], [], [8], [8, 8, 8], [6, 6, 7, 7], [10, 10, 10], [10, 10, 10], [6, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [6, 6, 6, 9], [6, 6, 6, 6, 6]]
[[], [10, 10], [6, 6, 6, 6], [9, 9, 9], [6, 6, 6, 6], [6, 10, 10], [10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10], [9, 10, 10], [6, 10, 10], [6, 6], [8, 10, 10], [7, 7, 10], [8, 8, 8], [7, 7, 7, 7]]
[[], [10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 10], [], [6, 6, 6, 6], [8, 10, 10], [10, 10], [8, 8, 8], [6, 10, 10], [6, 6, 6, 6], [10, 10], [], [6, 10, 10], [6, 9, 10], [6, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6]]
[[], [8, 8, 8], [10, 10], [6, 6, 6, 6], [8], [6, 6, 6, 6], [6, 10, 10], [7, 7, 7], [], [9, 9], [10, 10], [6, 10, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [6, 10, 10], [6, 10, 10], [10, 10], [8, 8, 8], [9, 9]]
[[], [10, 10], [10], [10, 10], [10, 10], [8, 10], [7, 7, 7], [], [7, 7, 7], [6, 6, 6, 6], [6, 9, 9], [8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [6, 6, 6, 6], [6, 6, 6], [10, 10], [8, 8, 8], [10, 10]]
[[], [10], [6, 9, 9], [6, 6, 6, 6], [10, 10], [], [10, 10], [6, 9, 9], [10, 10], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 10], [8], [6, 6, 6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [6, 6, 6, 6], [], [10, 10], [10, 10]]
[[], [7, 7, 7], [10, 10], [10, 10], [10, 10], [7, 7, 7], [6, 6, 6], [9, 9], [6, 6, 6], [10, 10], [10, 10], [6, 10], [8, 10], [], [10, 10], [6, 6, 6], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [8, 8], [8, 8], [8, 8]]
[[], [], [10, 10], [9, 9], [10, 10], [8, 10], [9, 9], [7, 7, 7], [10, 10], [], [10, 10], [], [6, 8, 8], [6, 6, 6], [6, 8, 8], [8, 8], [6, 6, 10], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [7, 7, 7], [10, 10], [6, 6, 6]]
[[], [6, 6, 6], [10, 10], [], [6, 6, 6], [10], [6], [8, 8], [8, 8], [7, 7, 7], [], [10, 10], [8, 10], [10, 10], [9, 9], [10, 10], [6, 6, 6], [10, 10], [9, 9], [10, 10], [7, 7, 7], [6, 6, 6], [10, 10], [8, 8], [6, 6, 6]]
[[], [8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6], [], [], [7, 7], [6, 6, 6], [10, 10], [10, 10], [6, 6, 6], [6, 6], [8, 8], [10, 10], [9, 9], [], [8, 10], [9, 9], [6, 7, 7], [6, 6, 6], [6, 7, 7], [10], [10, 10], [8, 8]]
[[], [8], [9, 9], [10, 10], [6, 6, 6], [6, 6, 6], [], [6, 10], [6, 6, 6], [], [8, 8], [10, 10], [10, 10], [], [10, 10], [10], [10, 10], [7, 7], [7, 7], [9, 9], [6, 6, 6], [7, 7], [6, 6, 6], [8, 8], [10, 10], [8, 8], [10, 10]]
[[10], [7, 10], [10], [10], [8, 10], [8, 8], [7, 7], [9, 9], [7, 10], [10], [10], [8, 8], [10], [10], [10], [6, 10], [6, 6, 6], [6, 6, 6], [10], [6, 6, 6], [7, 7], [10], [6, 6, 6], [10], [6, 6, 6], [8, 8], [10], [9, 9]]
[[10], [8, 8], [6, 10], [6, 6, 6], [], [6, 6, 6], [10], [6, 10], [10], [8, 8], [10], [10], [8, 8], [10], [10], [10], [6, 6, 6], [7, 7], [10], [7, 7], [9, 9], [6, 6, 6], [8, 10], [9, 9], [7, 7], [10], [6, 10], [10], [6, 10]]
[[10], [8, 9], [10], [6, 6], [8, 8], [6, 9], [6, 6], [6, 6], [7, 7], [10], [10], [7, 10], [6, 6], [8, 8], [6, 10], [6, 10], [10], [6, 6], [10], [10], [7, 10], [8, 9], [6, 10], [7, 7], [10], [10], [10], [6, 6], [10], [8, 9]]
[[10], [10], [6, 10], [6, 10], [6, 10], [10], [10], [10], [10], [6, 6], [6, 6], [6, 6], [7, 7], [6, 9], [6, 6], [10], [8, 8], [6, 9], [6, 6], [8, 9], [6, 10], [9], [10], [10], [8, 8], [10], [7, 7], [7, 7], [10], [8, 8], [10]]
[[10], [10], [10], [10], [10], [10], [6, 6], [6, 10], [10], [6, 6], [6, 6], [10], [6, 10], [8, 8], [7, 7], [10], [8, 8], [9], [10], [6, 10], [8, 8], [6, 10], [10], [10], [6, 6], [6, 9], [6, 6], [7, 7], [7, 7], [8], [6, 9], [9]]
[[10], [7, 7], [9], [], [8, 8], [6, 6], [6, 8], [6, 10], [6, 6], [7, 9], [8, 8], [10], [6, 10], [10], [7], [6, 10], [10], [6, 9], [6, 9], [8, 8], [6, 6], [10], [10], [10], [10], [10], [6, 6], [7, 7], [10], [10], [10], [10], [6, 6]]
[[10], [6, 6], [10], [6, 9], [9], [8, 8], [6, 6], [10], [6, 6], [6, 10], [10], [6, 6], [10], [7, 7], [10], [6, 6], [9], [10], [10], [10], [10], [6, 6], [10], [9], [6, 6], [10], [7, 7], [10], [8], [7, 7], [8, 8], [8, 8], [10], [10]]
[[10], [10], [10], [7, 7], [6, 6], [], [10], [], [6, 6], [10], [6, 10], [6, 6], [6, 8], [10], [8, 8], [8, 8], [9], [9], [9], [7, 7], [6, 6], [10], [10], [7, 7], [10], [6, 9], [10], [6, 10], [10], [10], [6, 6], [10], [6, 6], [8, 8], [10]]
[[10], [9], [6, 8], [6, 8], [10], [10], [6, 8], [8], [10], [10], [6, 6], [10], [9], [10], [8], [10], [6, 6], [10], [10], [10], [8], [6, 6], [7, 7], [10], [10], [9], [7, 7], [6, 6], [10], [10], [6, 8], [6, 6], [10], [6, 6], [9], [7, 7]]
[[10], [10], [10], [10], [8], [6, 6], [10], [10], [8], [10], [10], [7, 7], [10], [10], [10], [9], [6, 6], [6, 6], [9], [10], [7, 7], [8], [8], [8], [6, 6], [6, 8], [6, 6], [10], [9], [10], [10], [10], [6, 8], [9], [6, 6], [6, 6], [7, 7]]
[[10], [7, 7], [8], [8], [7, 7], [8], [9], [6, 6], [6, 6], [9], [10], [10], [10], [6, 8], [6, 8], [7, 7], [8], [10], [], [8], [10], [10], [10], [6, 6], [10], [6, 6], [10], [10], [10], [10], [10], [9], [10], [6, 6], [9], [6, 6], [6, 6], [10]]
[[10], [10], [10], [10], [10], [9], [9], [8], [9], [6, 7], [10], [7], [10], [6, 6], [10], [8], [8], [10], [6, 6], [6, 6], [8], [6, 7], [10], [10], [10], [8], [6, 6], [10], [10], [8], [8], [7], [6, 6], [10], [6, 7], [6, 7], [6, 6], [9], [10]]
[[9], [10], [6, 7], [7], [8], [10], [10], [10], [6, 7], [10], [8], [8], [6, 6], [10], [6, 6], [7], [10], [8], [9], [8], [6, 6], [7], [10], [10], [10], [10], [10], [10], [10], [6, 6], [10], [9], [6, 6], [8], [10], [9], [7], [6, 6], [6, 6], [8]]
[[10], [10], [6, 6], [10], [6, 6], [9], [10], [10], [9], [10], [10], [8], [8], [10], [6, 6], [8], [7], [10], [6, 6], [9], [10], [8], [10], [6, 6], [6, 6], [9], [6, 6], [8], [10], [7], [10], [10], [10], [7], [6, 6], [8], [7], [8], [10], [7], [7]]
[[10], [6, 6], [6, 6], [], [8], [10], [10], [8], [6, 6], [10], [7], [6, 6], [7], [8], [10], [10], [10], [10], [9], [7], [10], [8], [8], [10], [6, 6], [10], [9], [7], [10], [9], [7], [6], [10], [10], [6, 6], [9], [10], [6, 6], [8], [10], [8], [6, 7]]
[[7], [6, 6], [8], [10], [6, 6], [10], [9], [6, 7], [6, 6], [10], [8], [8], [10], [7], [9], [10], [10], [10], [10], [6, 7], [], [10], [10], [8], [7], [10], [6, 6], [6, 6], [8], [8], [9], [10], [10], [7], [], [], [8], [6, 6], [9], [6, 6], [10], [10], [10]]
[[10], [7], [8], [7], [9], [7], [8], [10], [10], [9], [6, 6], [10], [10], [10], [10], [9], [6, 6], [10], [6, 6], [9], [6, 6], [6, 6], [10], [10], [6, 6], [10], [10], [7], [10], [8], [], [8], [7], [10], [8], [8], [7], [], [], [10], [10], [6, 6], [6, 6], [8]]
[[10], [10], [10], [6, 6], [9], [7], [10], [10], [], [10], [10], [7], [], [7], [10], [7], [8], [10], [10], [6, 6], [10], [6, 6], [7], [8], [8], [8], [6, 6], [8], [6, 6], [10], [10], [], [6, 6], [10], [7], [10], [], [6, 6], [8], [6, 6], [9], [9], [8], [10], [9]]
[[8], [7], [10], [6, 6], [], [10], [10], [10], [10], [10], [10], [9], [6, 6], [10], [8], [9], [10], [6, 6], [7], [9], [9], [6, 6], [10], [10], [10], [6, 6], [], [6, 6], [10], [7], [7], [8], [7], [10], [], [8], [], [8], [8], [7], [], [6, 6], [10], [10], [6, 6], [8]]
[[], [10], [8], [6, 6], [7], [9], [6, 6], [10], [6, 6], [8], [8], [10], [6, 6], [], [8], [8], [7], [10], [], [10], [10], [7], [10], [10], [7], [6, 6], [9], [10], [6, 6], [9], [9], [10], [10], [10], [7], [8], [10], [6, 6], [10], [10], [7], [], [10], [], [], [8], [6, 6]]
[[7], [10], [], [10], [], [9], [7], [10], [6, 6], [7], [8], [10], [], [7], [8], [6, 6], [6, 6], [6, 6], [10], [8], [6, 6], [], [10], [8], [8], [8], [7], [10], [9], [10], [9], [6, 6], [8], [10], [6, 6], [], [10], [], [10], [10], [10], [], [9], [10], [10], [7], [6, 6], [10]]
[[8], [6], [7], [6], [10], [9], [8], [10], [6], [10], [10], [6], [6], [6], [10], [6], [8], [8], [10], [6], [10], [6], [10], [7], [7], [10], [10], [9], [10], [9], [7], [10], [10], [6], [6], [6], [8], [10], [7], [6], [9], [6], [10], [6], [7], [10], [8], [8], [6]]
-EndAllocation

Instance: [[1], [389], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [260, 173, 130, 104, 86, 74, 65, 58, 52, 48, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [195, 130, 98, 78, 65, 56, 49, 44, 39, 36, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8], [6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 7, 7, 7, 7, 7, 7], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10], [7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10]]
[[], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [6, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10, 10, 10, 10]]
[[], [7, 7, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [6, 10, 10, 10, 10, 10, 10]]
[[], [7, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 10, 10], [7, 7, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 7, 7, 10]]
[[], [], [6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 9, 9, 9, 9, 9], [7, 10, 10, 10, 10, 10], [7, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8], [7, 10, 10, 10, 10, 10]]
[[], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 8], []]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10], [], [7, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8], [9, 9, 9, 9, 9]]
[[], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [8, 8, 10, 10], [6, 6, 6, 6, 6, 6, 6], [], [6, 10, 10, 10], [8, 8, 8, 8, 8], [6, 9, 9, 9, 9], [9, 10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[], [9, 10, 10, 10], [10, 10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [6], [9, 9, 9, 9], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 7], [6, 6, 6, 6, 8, 8]]
[[], [10, 10, 10], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 10, 10], [7, 10, 10, 10], [9, 9, 9, 9], [], [6, 6, 6, 6, 10], [8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8]]
[[], [], [6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8], [10, 10], [6, 6, 6, 6, 10], [10, 10, 10], [6, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [9, 9, 10], [10, 10, 10], [6, 7, 7, 7, 7], [7, 7, 10, 10]]
[[], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7], [10, 10], [9, 9, 10], [6, 6, 6, 6, 6], [7], [9, 9, 9], [6, 6, 6, 6, 6], [7, 8, 8, 8], [10, 10, 10], [6], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10]]
[[], [], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6], [], [8, 8], [8, 8, 8], [6, 6, 7, 7], [10, 10, 10], [10, 10, 10], [6, 6, 8, 8], [10, 10, 10], [7, 7, 7, 7], [10, 10, 10], [6, 6, 9, 9], [6, 6, 6, 6, 6]]
[[], [10, 10], [6, 6, 6, 6], [9, 9, 9], [6, 6, 6, 6], [6, 10, 10], [10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [10, 10], [9, 9, 10], [6, 10, 10], [6, 6], [8, 10, 10], [7, 7, 10], [8, 8, 8], [7, 7, 7, 7]]
[[], [6, 10], [8, 8, 8], [9, 9, 9], [7, 7, 10], [], [6, 6, 6, 6], [8, 10, 10], [10, 10], [8, 8, 8], [6, 10, 10], [6, 6, 6, 6], [10, 10], [], [6, 10, 10], [9, 9, 10], [6, 10, 10], [7, 7, 7, 7], [6, 6, 6, 6]]
[[], [8, 8, 8], [10, 10], [6, 6, 6, 6], [8], [6, 6, 6, 6], [10, 10], [7, 7, 7], [9], [9, 9], [10, 10], [6, 10, 10], [7, 7, 7], [10, 10], [6, 6, 6, 6], [6, 10, 10], [6, 6, 10], [10, 10], [8, 8, 8], [9, 9]]
[[], [9, 10], [10], [10, 10], [10, 10], [8, 10], [7, 7, 7], [], [7, 7, 7], [6, 6, 6, 6], [6, 9, 9], [8, 8, 8], [6, 6, 6, 6], [10, 10], [10, 10], [9, 9], [6, 6, 6, 6], [6, 6, 6], [10, 10], [8, 8, 8], [10, 10]]
[[], [10], [6, 9, 9], [6, 6, 6, 6], [10, 10], [], [10, 10], [6, 9, 9], [10, 10], [10, 10], [7, 7, 7], [8, 8, 8], [6, 6, 10], [8], [6, 6, 6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [6, 6, 6, 6], [], [9, 10], [10, 10]]
[[], [7, 7, 7], [9, 10], [10, 10], [10, 10], [7, 7, 7], [6, 6, 6], [9, 9], [6, 6, 6], [10, 10], [10, 10], [6, 10], [8, 10], [], [10, 10], [6, 6, 6], [6, 6, 6], [10, 10], [6, 6, 6], [9, 9], [8, 8], [8, 8], [8, 8]]
[[], [], [10, 10], [9, 9], [10, 10], [8, 9], [9, 9], [7, 7, 7], [10, 10], [], [10, 10], [], [6, 8, 8], [6, 6, 6], [6, 8, 8], [8, 8], [6, 6, 10], [10, 10], [6, 6, 6], [10, 10], [6, 6, 6], [7, 7, 7], [10, 10], [6, 6, 6]]
[[], [6, 6, 6], [9, 10], [], [6, 6, 6], [10], [6], [8, 8], [8, 8], [7, 7, 7], [], [10, 10], [8, 10], [10, 10], [9, 9], [10, 10], [6, 6, 6], [10, 10], [9, 9], [10, 10], [7, 7, 7], [6, 6, 6], [10, 10], [8, 8], [6, 6, 6]]
[[], [8, 8], [10, 10], [10, 10], [10, 10], [6, 6, 6], [], [], [7, 7], [6, 6, 6], [10, 10], [10, 10], [6, 6, 6], [6, 9], [8, 8], [10, 10], [9, 9], [], [8, 10], [9, 9], [6, 7, 7], [6, 6, 6], [6, 7, 7], [10], [6, 10], [8, 8]]
[[], [8], [9, 9], [10, 10], [6, 6, 6], [6, 6, 6], [], [6, 10], [6, 6, 6], [], [8, 8], [10, 10], [10, 10], [], [10, 10], [9], [10, 10], [7, 7], [7, 7], [9, 9], [6, 6, 6], [7, 7], [6, 6, 6], [8, 8], [10, 10], [8, 8], [10, 10]]
[[10], [7, 10], [10], [10], [8, 10], [8, 8], [7, 7], [9, 9], [7, 10], [10], [10], [8, 8], [10], [9], [10], [6, 10], [6, 6, 6], [6, 6, 6], [10], [6, 6, 6], [7, 7], [10], [6, 6, 6], [10], [6, 6, 6], [8, 8], [10], [9, 9]]
[[10], [8, 8], [6, 10], [6, 6, 6], [], [6, 6, 6], [10], [6, 10], [10], [8, 8], [10], [10], [8, 8], [10], [9], [10], [6, 6, 6], [7, 7], [10], [7, 7], [9, 9], [6, 6, 6], [8, 10], [9, 9], [7, 7], [10], [6, 10], [10], [6, 10]]
[[10], [8, 9], [10], [6, 6], [8, 8], [6, 9], [6, 6], [6, 6], [7, 7], [10], [10], [7, 10], [6, 6], [8, 8], [6, 10], [6, 10], [10], [6, 6], [10], [10], [7, 10], [6, 9], [8, 9], [7, 7], [10], [10], [10], [6, 6], [10], [8, 9]]
[[9], [10], [6, 10], [6, 10], [6, 10], [10], [10], [10], [10], [6, 6], [6, 6], [6, 6], [7, 7], [6, 9], [6, 6], [10], [8, 8], [6, 9], [6, 6], [8, 9], [6, 10], [9], [10], [10], [8, 8], [10], [7, 7], [7, 7], [10], [8, 8], [10]]
[[10], [10], [10], [10], [10], [10], [6, 6], [6, 10], [10], [6, 6], [6, 6], [10], [6, 10], [8, 8], [7, 7], [10], [8, 8], [9], [10], [6, 6], [8, 8], [6, 10], [10], [10], [6, 6], [6, 9], [6, 6], [7, 7], [7, 7], [8, 9], [9], [9]]
[[10], [7, 7], [9], [], [8, 8], [6, 6], [6, 8], [6, 10], [6, 6], [7, 9], [8, 8], [10], [6, 10], [10], [7], [6, 10], [9], [6, 9], [6, 9], [8, 8], [6, 6], [10], [10], [10], [10], [10], [6, 6], [7, 7], [10], [10], [10], [10], [6, 6]]
[[10], [6, 6], [10], [6, 9], [9], [8, 8], [6, 6], [10], [6, 6], [6, 10], [10], [6, 6], [10], [7, 7], [9], [6, 6], [9], [10], [10], [10], [10], [6, 6], [10], [9], [6, 6], [10], [7, 7], [10], [8], [7, 7], [8, 8], [8, 8], [10], [10]]
[[10], [10], [10], [7, 7], [6, 6], [9], [10], [], [6, 6], [10], [6, 10], [6, 6], [6, 8], [10], [8, 8], [8, 8], [9], [9], [9], [7, 7], [6, 6], [10], [10], [7, 7], [10], [6, 9], [10], [6, 10], [], [10], [6, 6], [10], [6, 6], [8, 8], [10]]
[[10], [9], [6, 8], [6, 8], [10], [10], [6, 8], [8], [10], [10], [6, 6], [10], [9], [10], [8], [10], [6, 6], [10], [10], [10], [8], [6, 6], [7, 7], [9], [10], [9], [7, 7], [6, 6], [10], [10], [6, 8], [6, 6], [10], [6, 6], [9], [7, 7]]
[[10], [10], [9], [10], [8], [6, 6], [10], [10], [8], [10], [10], [7, 7], [10], [10], [10], [9], [6, 6], [6, 6], [9], [10], [7, 7], [8], [8], [8], [6, 6], [6, 8], [6, 6], [10], [9], [10], [10], [10], [6, 8], [9], [6, 6], [6, 6], [7, 7]]
[[10], [7, 7], [8], [8], [7, 7], [8], [9], [6, 6], [6, 6], [9], [10], [10], [10], [6, 8], [6, 8], [7, 7], [8], [10], [], [8], [10], [10], [6, 6], [6, 6], [10], [6, 6], [10], [10], [10], [10], [10], [9], [10], [9], [9], [6, 6], [6, 6], [10]]
[[10], [10], [10], [10], [10], [9], [9], [8], [9], [6, 7], [10], [7], [10], [6, 6], [10], [8], [8], [10], [6, 6], [6, 6], [8], [6, 7], [10], [10], [10], [8], [6, 6], [10], [10], [8], [8], [7], [6, 6], [10], [6, 7], [6, 7], [6, 6], [9], [9]]
[[9], [10], [6, 7], [7], [8], [10], [10], [10], [6, 7], [10], [8], [8], [6, 6], [10], [6, 6], [7], [10], [8], [9], [8], [6, 6], [7], [10], [10], [10], [9], [10], [10], [10], [6, 6], [10], [9], [6, 6], [8], [10], [9], [7], [6, 6], [6, 6], [8]]
[[9], [10], [6, 6], [10], [6, 6], [9], [10], [10], [9], [10], [10], [8], [8], [10], [6, 6], [8], [7], [10], [6, 6], [9], [10], [8], [10], [6, 6], [6, 6], [9], [6, 6], [8], [10], [7], [10], [10], [10], [7], [6, 6], [8], [7], [8], [10], [7], [7]]
[[10], [6, 6], [6, 6], [], [8], [10], [10], [8], [6, 6], [10], [7], [6, 6], [7], [8], [10], [10], [10], [10], [9], [7], [10], [8], [8], [10], [6, 6], [9], [9], [7], [10], [9], [7], [6], [10], [10], [6, 6], [9], [10], [6, 6], [8], [10], [8], [6, 7]]
[[7], [6, 6], [8], [10], [6, 6], [10], [9], [6, 7], [6, 6], [10], [8], [8], [10], [7], [9], [10], [10], [10], [10], [6, 7], [], [10], [10], [8], [7], [10], [6, 6], [6, 6], [8], [8], [9], [7], [10], [9], [], [], [8], [6, 6], [9], [6, 6], [10], [10], [10]]
[[10], [7], [8], [7], [9], [7], [8], [10], [10], [9], [6, 6], [10], [10], [10], [10], [9], [6, 6], [10], [6, 6], [9], [6, 6], [6, 6], [9], [10], [6, 6], [10], [10], [7], [10], [8], [], [8], [7], [10], [8], [8], [7], [], [], [10], [10], [6, 6], [6, 6], [8]]
[[10], [10], [10], [8], [9], [7], [10], [10], [], [10], [10], [7], [], [7], [10], [7], [8], [10], [10], [6, 6], [10], [6, 6], [7], [8], [8], [9], [6, 6], [8], [6, 6], [10], [6, 6], [], [6, 6], [10], [7], [10], [], [6, 6], [8], [6, 6], [9], [9], [8], [10], [9]]
[[8], [7], [10], [6, 6], [], [10], [10], [9], [10], [10], [10], [9], [6, 6], [10], [8], [9], [10], [6, 6], [7], [9], [9], [6, 6], [10], [10], [10], [6, 6], [], [6, 6], [10], [7], [7], [8], [7], [10], [], [8], [], [8], [8], [7], [], [6, 6], [10], [10], [6, 6], [8]]
[[], [10], [8], [6, 6], [7], [9], [6, 6], [10], [6, 6], [8], [8], [10], [6, 6], [9], [8], [8], [7], [10], [], [10], [10], [7], [10], [10], [7], [6, 6], [9], [10], [6, 6], [9], [9], [10], [], [10], [7], [8], [10], [6, 6], [10], [10], [7], [], [10], [], [], [8], [6, 6]]
[[7], [10], [], [10], [], [9], [7], [10], [6, 6], [7], [8], [10], [], [7], [8], [6, 6], [6, 6], [6, 6], [10], [8], [6, 6], [], [10], [8], [8], [8], [7], [10], [9], [10], [9], [6, 6], [8], [10], [6, 6], [], [10], [], [9], [10], [10], [], [9], [10], [10], [7], [6, 6], [10]]
[[8], [6], [7], [6], [10], [9], [8], [10], [6], [10], [10], [6], [6], [6], [10], [6], [8], [8], [10], [6], [10], [9], [10], [7], [7], [6], [10], [9], [10], [9], [7], [10], [10], [6], [6], [6], [8], [10], [7], [6], [9], [6], [10], [6], [7], [10], [8], [8], [6]]
-EndAllocation

Instance: [[1], [388], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [258, 173, 129, 104, 86, 74, 65, 58, 52, 48, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [194, 130, 97, 78, 65, 56, 49, 44, 39, 36, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 10, 10], [7, 7, 7, 7, 7, 7]]
[[7, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9]]
[[5, 5, 5, 5, 5, 9], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7]]
[[8, 8, 8, 8, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8, 9, 9], [5, 5, 5, 5, 5, 8, 9, 9], [9, 9], [7, 7, 7, 7, 7, 9, 9], [], [6, 6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [9, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9], [10, 10, 10, 10], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5, 5, 5], [], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10], [], [5, 5, 5, 5, 5], [10, 10, 10], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [9, 10, 10, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7, 7], [9, 9, 9, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [], [10, 10, 10, 10]]
[[10, 10, 10, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8], [9, 9, 9, 9], [9, 9, 9, 10], [7, 7, 7, 7, 7], [5, 5, 5, 5, 5], [7], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [], [9, 9, 9], [7, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 5, 5, 5]]
[[8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [7, 7], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [9, 9], [6, 7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [10, 10, 10], [6, 6, 6, 6, 6], [], [9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [], [6, 6, 6, 6, 6], [], [6, 9, 9, 9], [10, 10, 10], [7, 7], [8, 8, 8, 8], [9, 9], [9, 9, 9], [10, 10, 10], [10, 10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5]]
[[8, 8, 9], [7, 7], [6, 8, 8, 8], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5], [9], [8, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10], [9, 9, 9], []]
[[8, 8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [], [6, 6], [10], [8, 8, 8], [8, 8, 8], [9, 10, 10], [9, 10, 10], [10, 10], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [7, 7], [6, 6, 6, 6]]
[[9, 9, 10], [10, 10], [], [10, 10], [5, 5, 5, 5, 5], [8, 8, 8], [9, 9, 9], [10, 10], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [9, 9, 9], [6, 6, 7, 7], [8, 8, 8], [], [10, 10], [], [8, 8, 8]]
[[8, 8, 8], [9, 9], [7, 7, 7], [10, 10], [10, 10], [8, 8, 8], [9, 9], [9, 9], [9, 9], [8, 8, 8], [9], [10, 10], [5, 5, 5, 5, 5], [7, 7, 7], [9, 9], [6, 6, 6, 6], [10], [10, 10], [8, 8, 8], [6, 6]]
[[8, 8, 8], [8, 8, 8], [7, 9], [8, 8, 8], [10], [], [7, 9, 9], [9, 9], [6, 6], [10, 10], [9, 9], [7, 9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [10, 10], [], [5, 5, 5, 5, 5], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [10, 10], [9, 9], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9], [6, 6, 9], [7, 7, 7], [], [7, 7, 7], [9, 9], [10, 10], [], [5, 5, 5, 5], [9, 9], [9, 9], [10], [5], [8, 8, 8], [8, 8, 8]]
[[5, 8, 9], [9, 9], [8], [9, 9], [9, 9], [9, 9], [8, 8], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [6, 6, 6], [7, 7, 7], [6, 6, 6], [8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [], [7, 7, 7], [10], [8, 8]]
[[8, 8], [8, 8], [10, 10], [9, 9], [10, 10], [9], [5, 5, 5, 5], [10, 10], [], [9, 9], [10], [8, 8], [7, 7, 7], [6, 6, 6], [9, 9], [5], [9, 9], [9, 9], [7, 7, 7], [8, 8], [10, 10], [6, 6, 6], [8, 8], [8, 8]]
[[8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [9, 9], [8, 9], [8, 8], [8], [8, 8], [8, 8], [6, 6, 6], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [], [9, 9], [], [10], [7, 7, 7], [5, 8, 8]]
[[7, 7], [8, 8], [5, 9], [6, 6, 6], [9, 9], [10, 10], [], [], [], [9, 9], [5, 5, 5, 5], [7, 7], [9, 9], [10, 10], [8, 8], [10, 10], [9, 9], [6, 6, 6], [10, 10], [8, 8], [8, 8], [7, 7], [8, 8], [10], [9, 9], [8, 8]]
[[8, 8], [8, 9], [8], [6, 6, 6], [8, 8], [], [9, 9], [10, 10], [7, 7], [10, 10], [5], [10, 10], [10, 10], [9, 9], [9, 9], [7, 7], [8, 8], [10], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [5, 5, 5, 5], [9, 9], [], [8, 8]]
[[8, 8], [8, 10], [8, 9], [8], [7, 7], [5, 5], [10], [6, 6, 6], [9, 9], [], [10], [10], [10], [8, 10], [6, 6, 6], [9, 9], [10], [9, 9], [9, 9], [10], [8, 8], [5, 5, 5], [7, 7], [7, 7], [10], [8, 8], [9, 9], [8, 8]]
[[8, 8], [9, 9], [7, 10], [9, 9], [9], [8, 8], [10], [], [8, 8], [7, 7], [8, 8], [6, 6, 6], [10], [10], [5, 5, 5], [6, 6, 6], [7, 7], [10], [10], [10], [8, 8], [10], [], [10], [9, 9], [5, 5, 7], [9, 9], [9, 9], [8, 8]]
[[8, 8], [8, 8], [6, 10], [8, 8], [7, 10], [7, 7], [8, 8], [8, 8], [9], [6, 6], [9], [7, 7], [6, 9], [8, 9], [], [9], [5, 10], [9], [10], [10], [5, 5, 5], [5, 9], [9], [7, 10], [10], [10], [9], [6, 9], [6, 10], [8, 9]]
[[8, 8], [8, 8], [7, 10], [9], [6, 6], [8, 9], [9], [8, 8], [9], [9], [8, 8], [7, 9], [9], [], [9], [10], [10], [6, 6], [7, 7], [6, 10], [5, 5], [6, 10], [10], [5, 5, 5], [7, 10], [7, 9], [10], [10], [8, 9], [9], [8, 8]]
[[8, 8], [8, 8], [6, 9], [7, 7], [9], [9], [6, 6], [9], [6, 9], [9], [5, 9], [9], [9], [7, 10], [9], [10], [5, 10], [9], [], [7, 10], [10], [8, 8], [10], [7, 7], [10], [10], [10], [6, 6], [8, 8], [8, 8], [5, 5, 5], [8, 8]]
[[9], [8, 8], [9], [7, 7], [9], [10], [7, 7], [10], [9], [9], [8, 8], [6, 6], [5, 5, 5], [8, 8], [10], [9], [9], [7, 7], [10], [9], [9], [10], [10], [10], [8, 8], [8, 8], [5, 9], [10], [6, 6], [10], [5, 9], [6, 6], [8, 8]]
[[5, 10], [10], [9], [9], [5, 5, 5], [8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [5, 9], [6, 6], [7, 7], [], [9], [9], [7, 7], [9], [10], [10], [10], [9], [10], [10], [10], [6, 6], [10], [9], [9], [9], [6, 6], [8, 8], [9]]
[[5, 9], [5, 5, 5], [5, 9], [8, 8], [6, 10], [8, 8], [9], [9], [6, 10], [7], [7], [9], [9], [8, 8], [10], [10], [10], [10], [10], [8, 8], [8, 8], [10], [6, 6], [], [7, 7], [7, 7], [9], [8, 8], [9], [9], [10], [9], [9], [], [6, 6]]
[[8], [5, 8], [6, 8], [8], [10], [7, 7], [9], [5, 9], [5, 9], [9], [10], [6, 7], [10], [9], [9], [9], [7, 7], [9], [10], [10], [6, 8], [9], [5, 9], [10], [8], [9], [7], [10], [10], [6, 8], [8], [10], [8], [6, 8], [6, 8], [5, 8]]
[[8], [10], [5, 8], [5, 9], [8], [5, 7], [5, 9], [6, 8], [6, 8], [10], [7, 7], [9], [10], [9], [10], [9], [6, 7], [8], [9], [6, 8], [5, 8], [9], [9], [7, 7], [6, 8], [10], [10], [9], [10], [], [8], [6, 8], [8], [10], [9], [10], [9]]
[[5, 9], [5, 9], [], [7, 7], [7, 7], [7, 7], [8], [5, 8], [6, 8], [8], [10], [10], [10], [5, 8], [8], [10], [9], [6, 8], [10], [8], [10], [9], [9], [6, 8], [9], [6, 8], [8], [8], [9], [9], [], [10], [9], [10], [6, 6], [5, 9], [9], [10]]
[[5, 8], [10], [10], [9], [5, 8], [10], [9], [6, 7], [7], [5, 8], [6, 7], [8], [10], [6, 7], [10], [8], [6, 7], [8], [8], [10], [9], [9], [9], [9], [9], [5, 7], [9], [8], [8], [10], [5, 8], [9], [9], [10], [8], [8], [6, 6], [9], [10]]
[[9], [6, 7], [5, 8], [6, 7], [10], [5, 8], [9], [5, 8], [10], [9], [5, 8], [9], [10], [8], [9], [6, 7], [9], [9], [9], [10], [10], [6, 7], [8], [8], [9], [], [6, 7], [8], [5, 8], [10], [10], [8], [6, 7], [], [10], [9], [8], [8], [9], [10]]
[[5, 8], [5, 8], [8], [10], [6, 7], [8], [9], [10], [8], [9], [9], [6, 7], [6, 7], [5, 5], [10], [9], [6, 7], [9], [9], [8], [10], [10], [10], [9], [9], [10], [10], [9], [6], [10], [8], [8], [8], [8], [8], [8], [9], [], [9], [6, 7], [5, 7]]
[[5, 8], [5, 8], [9], [5], [8], [7], [10], [8], [6, 7], [9], [9], [9], [7], [9], [10], [9], [8], [8], [9], [10], [10], [10], [6, 6], [10], [6, 7], [9], [10], [5, 5], [9], [8], [7], [8], [6, 6], [8], [7], [10], [8], [9], [8], [10], [8], [9]]
[[9], [10], [6, 7], [5, 8], [6, 7], [9], [8], [8], [9], [9], [9], [8], [5, 5], [6], [5, 5], [8], [10], [10], [9], [10], [9], [9], [8], [6, 7], [9], [10], [10], [9], [8], [8], [8], [10], [9], [], [6, 7], [], [6, 7], [10], [8], [8], [7], [10], [8]]
[[6], [8], [9], [8], [10], [9], [10], [9], [9], [6], [9], [10], [8], [10], [8], [9], [5, 6], [5, 7], [9], [10], [9], [5, 6], [8], [9], [5, 7], [8], [5, 7], [9], [10], [8], [7], [8], [8], [8], [9], [], [7], [6, 6], [8], [10], [7], [10], [10], [8]]
[[6], [9], [9], [10], [8], [10], [9], [7], [6, 6], [5, 7], [9], [9], [9], [10], [8], [9], [9], [9], [9], [8], [9], [8], [5, 7], [8], [10], [5, 7], [6], [10], [10], [8], [10], [10], [8], [8], [8], [10], [8], [8], [7], [], [7], [], [5, 5], [6, 6], [8]]
[[8], [8], [8], [7], [9], [8], [9], [9], [7], [10], [8], [9], [6, 6], [9], [10], [7], [6, 6], [9], [9], [], [8], [6, 6], [], [10], [8], [10], [9], [10], [5, 5], [10], [5, 5], [10], [9], [5], [7], [8], [10], [7], [8], [8], [10], [8], [9], [8], [9], [7]]
[[9], [9], [10], [10], [10], [8], [8], [8], [5, 5], [6, 6], [7], [9], [8], [9], [7], [7], [7], [9], [5, 5], [6, 6], [9], [10], [9], [10], [8], [6, 6], [8], [8], [10], [8], [8], [9], [9], [], [9], [], [8], [8], [8], [10], [], [], [10], [9], [10], [7], [5, 7]]
[[9], [7], [8], [8], [8], [7], [8], [8], [6, 6], [7], [8], [], [8], [10], [9], [8], [], [10], [10], [5, 5], [8], [10], [], [], [9], [9], [6, 6], [], [10], [5, 5], [9], [10], [9], [9], [10], [10], [8], [8], [9], [10], [6, 6], [9], [5, 7], [9], [7], [7], [9], [8]]
[[10], [9], [10], [5], [7], [8], [7], [9], [8], [10], [7], [8], [6], [10], [9], [8], [5], [10], [8], [8], [8], [10], [8], [6], [8], [9], [8], [7], [9], [6], [6], [9], [9], [9], [9], [9], [7], [9], [5], [10], [10], [6], [6], [8], [8], [7], [5], [10], [5]]
-EndAllocation

Instance: [[1], [387], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [258, 172, 129, 104, 86, 74, 65, 57, 52, 48, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [194, 129, 97, 78, 65, 56, 49, 43, 39, 36, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 7, 7, 7, 7, 7, 10], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 10, 10, 10], [7, 7, 7, 7, 7, 7, 7]]
[[10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 8, 8, 10, 10, 10]]
[[5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7], [], [6, 6, 6, 6, 6, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5, 6, 6, 6, 6, 6, 6], [5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8]]
[[6, 6, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10], [], [5, 5, 5, 5, 5], [7, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10], [8, 8, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7, 7], [7, 9, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [], [10, 10, 10, 10]]
[[10, 10, 10, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8], [9, 9, 9, 9], [], [7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 10], [7, 7, 9, 10], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [], [7, 9, 10], [7, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 5, 5, 5]]
[[8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [], [7, 7, 7], [9, 9, 9], [10, 10, 10], [10], [7, 7, 7, 7], [8, 8, 8, 8], [5, 5, 5, 5, 5], [9, 9, 9], [6, 6, 6, 6, 6], [10, 10, 10], [6, 9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [], [6, 6, 6, 6, 6], [10, 10, 10], [6, 9, 9, 9], [10, 10, 10], [7, 7, 7, 10], [8, 8, 8, 8], [], [9, 9, 9], [10, 10, 10], [5, 5, 5, 5, 5], [7, 7, 7, 7], []]
[[5, 5, 8, 8], [7, 7, 7], [6, 8, 8, 8], [10, 10, 10], [10, 10, 10], [5, 8, 8, 8], [5], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [5, 8, 8, 8], [9, 9, 9], [8], [10], [9, 9, 9], []]
[[8, 8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [], [6, 6], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [10, 10], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5, 5], [7, 7, 7], [6, 6, 6, 6]]
[[10, 10], [10, 10], [], [10, 10], [7, 7, 7], [8, 8, 8], [9, 9, 9], [10, 10], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [6, 6], [9, 9, 9], [8, 8, 8], [5, 5, 5, 5, 5], [10, 10], [], [8, 8, 8]]
[[8, 8, 8], [9, 9], [7, 7, 7], [9, 9], [10, 10], [8, 8, 8], [9, 9], [9, 9], [10, 10], [8, 8, 8], [10], [7, 7, 10], [5, 5, 5, 5, 5], [10, 10], [9], [6, 6, 6, 6], [6, 6], [10, 10], [8, 8, 8], [7, 7]]
[[8, 8], [7, 8, 10], [10, 10], [8, 8], [8, 8], [8, 8], [8, 9], [9, 9], [6, 6, 10], [10, 10], [9, 9], [9, 9], [8, 8], [10, 10], [7, 7, 7], [9, 9], [], [7, 7, 7], [5, 5, 5, 5, 5], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [10, 10], [9, 9], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [7], [6, 6], [7, 7, 7], [], [7, 7, 7], [9, 9], [10, 10], [], [5, 5, 5, 5], [9], [5, 9, 9], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8]]
[[8, 8], [9, 9], [7], [9], [9, 9], [9, 9], [], [8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [10, 10], [7, 7, 7], [6, 6, 6], [8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [6, 6, 6], [7, 7, 7], [8, 8], [5, 8, 8]]
[[8, 8], [8, 8], [10, 10], [9, 9], [10, 10], [7], [5, 5, 5, 5], [10, 10], [9], [9, 9], [10, 10], [8, 8], [7, 7, 7], [6, 6, 6], [], [], [9, 9], [9, 9], [7, 7, 7], [8, 8], [10, 10], [6, 6, 6], [8, 8], [5, 8, 8]]
[[5, 8, 8], [10, 10], [7, 7, 7], [5, 5, 5, 5], [9, 9], [8, 8], [10, 10], [9, 9], [8, 8], [8, 8], [7], [8, 8], [8, 8], [6, 6, 6], [10], [10, 10], [9, 9], [], [6, 6, 6], [], [9, 9], [], [10, 10], [7, 7, 7], [9, 10]]
[[7, 7], [8, 8], [7], [6, 6, 6], [9, 9], [10, 10], [], [], [], [5, 9], [5, 5, 5, 5], [7, 7], [9, 9], [10, 10], [8, 8], [10, 10], [9, 9], [6, 6, 6], [10, 10], [8, 8], [8, 8], [7, 7], [8, 8], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [5, 7], [6, 6, 6], [8, 8], [], [9], [10, 10], [7, 7], [10, 10], [], [10, 10], [10, 10], [9, 9], [9, 9], [7, 7], [8, 8], [10, 10], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [5, 5, 5, 5], [9, 9], [], [8, 8]]
[[8, 8], [8, 8], [8, 8], [7, 7], [5, 5, 7], [7, 10], [7, 10], [6, 6, 6], [9], [], [10], [8, 10], [10], [10], [6, 6, 6], [10], [8, 10], [5, 5, 5], [9, 9], [10], [8, 8], [], [7, 7], [9, 9], [10], [8, 8], [9, 9], [9, 9]]
[[8, 8], [7, 10], [7, 10], [9], [9, 9], [8, 8], [9, 9], [], [8, 8], [7, 7], [6, 6, 6], [6, 6, 6], [], [10], [5, 5, 5], [8, 8], [7, 7], [10], [8, 10], [10], [8, 8], [10], [], [10], [9, 9], [5, 5, 7], [10], [9, 9], [8, 10]]
[[8, 9], [7, 8], [6, 8], [7, 8], [7, 10], [8, 9], [8, 9], [7, 9], [7, 10], [5, 6, 6], [10], [8, 9], [10], [10], [10], [10], [10], [8], [8, 9], [10], [5, 10], [5, 5, 5], [8], [7, 9], [8], [9], [6, 7], [], [6, 6], [8, 9]]
[[7, 8], [7, 8], [8, 9], [8, 9], [8, 9], [10], [6, 10], [8, 9], [8, 9], [8, 9], [8], [7, 8], [10], [10], [10], [5, 10], [10], [6, 6], [7, 7], [6, 10], [], [6, 6], [9], [5, 5, 5], [9], [10], [8], [5, 10], [7, 7], [9], [8]]
[[8, 8], [8, 8], [7, 9], [], [9], [5, 10], [6, 6], [], [6, 6], [], [5, 5, 5], [9], [7, 7], [9], [9], [8, 9], [7, 7], [9], [10], [7, 9], [10], [8, 8], [6, 10], [7, 10], [10], [6, 10], [10], [10], [8, 9], [8, 8], [5, 10], [8, 8]]
[[5, 10], [8, 8], [8, 8], [7, 7], [5, 10], [6, 10], [7, 7], [8, 8], [7], [10], [9], [6, 9], [9], [9], [9], [10], [10], [7, 7], [10], [10], [9], [10], [8, 8], [8, 8], [], [8, 8], [10], [9], [6, 6], [9], [5, 5, 5], [6, 6], [9]]
[[10], [8, 8], [7, 7], [7, 9], [5, 5, 5], [8, 8], [8, 8], [7, 7], [8, 8], [5, 5], [9], [10], [6, 6], [9], [], [9], [9], [7, 7], [10], [8, 8], [10], [10], [10], [9], [10], [10], [6, 6], [9], [9], [6, 6], [9], [10], [8, 8], [10]]
[[7, 8], [5, 5, 5], [10], [8], [8, 8], [9], [], [9], [9], [7, 7], [9], [], [9], [8, 8], [10], [5, 9], [10], [], [10], [8, 8], [8, 8], [5, 10], [6, 9], [9], [7, 7], [7, 7], [10], [8, 8], [6, 6], [6, 10], [9], [6, 6], [10], [10], [10]]
[[6, 8], [10], [10], [10], [5, 8], [10], [8], [10], [6, 8], [5, 7], [7], [9], [10], [5, 9], [6, 8], [10], [9], [9], [5, 8], [10], [9], [10], [7, 7], [8], [10], [8], [9], [8], [9], [6, 8], [6, 7], [7, 7], [8], [6, 8], [9], [5, 9]]
[[7, 7], [5, 8], [10], [6, 6], [8], [5, 9], [10], [10], [5, 9], [5, 9], [10], [9], [6, 8], [10], [8], [9], [9], [8], [10], [9], [7, 7], [6, 8], [8], [6, 8], [8], [9], [10], [10], [5, 8], [7], [7], [9], [8], [10], [6, 7], [10], [8]]
[[5, 7], [], [7, 7], [6, 7], [5, 8], [7, 7], [5, 8], [6, 8], [6, 8], [9], [5, 8], [10], [9], [10], [9], [10], [10], [10], [9], [10], [8], [10], [9], [10], [9], [10], [6, 6], [9], [6, 8], [10], [8], [8], [8], [7], [9], [9], [8], [5, 8]]
[[8], [9], [9], [5, 8], [5, 8], [7], [9], [9], [5, 7], [5, 8], [9], [9], [5, 8], [10], [8], [10], [9], [6, 7], [8], [6, 6], [10], [10], [10], [7], [9], [10], [10], [10], [6, 7], [8], [8], [8], [8], [10], [9], [6, 7], [6, 7], [8], [10]]
[[5, 7], [5, 8], [8], [8], [10], [9], [8], [8], [9], [8], [10], [5, 8], [9], [10], [10], [9], [10], [8], [10], [10], [6, 6], [6, 7], [6, 7], [7], [8], [8], [9], [8], [9], [5, 5], [8], [9], [10], [10], [7], [10], [6, 7], [6, 7], [9], [9]]
[[10], [9], [5, 7], [10], [8], [9], [9], [9], [10], [9], [6, 7], [5, 7], [10], [8], [9], [5, 5], [6, 6], [8], [8], [10], [10], [8], [6, 7], [10], [6, 6], [7], [10], [7], [8], [8], [9], [8], [9], [9], [8], [10], [7], [8], [8], [5, 8], [10]]
[[8], [10], [9], [10], [7], [9], [8], [7], [6, 7], [9], [5, 8], [9], [10], [5, 5], [6, 6], [10], [8], [8], [9], [10], [7], [10], [6, 7], [5], [9], [7], [9], [5, 8], [8], [8], [10], [7], [6, 6], [9], [8], [10], [8], [8], [10], [10], [8], [9]]
[[7], [5, 5], [8], [10], [10], [10], [8], [8], [9], [10], [7], [10], [8], [10], [8], [8], [9], [10], [10], [7], [7], [8], [7], [9], [9], [9], [8], [9], [8], [6, 6], [8], [9], [9], [9], [10], [8], [5, 5], [5, 7], [10], [7], [6, 6], [8], [6, 6]]
[[6, 6], [10], [8], [10], [], [8], [8], [8], [10], [9], [9], [9], [10], [10], [10], [10], [10], [8], [8], [8], [8], [8], [8], [5, 5], [8], [7], [5, 7], [5, 7], [9], [9], [5, 7], [10], [9], [7], [9], [10], [6], [9], [9], [6, 6], [6], [7], [8], [7]]
[[], [5, 7], [8], [10], [10], [8], [8], [6, 6], [8], [10], [9], [9], [9], [7], [9], [8], [10], [10], [9], [10], [8], [10], [7], [10], [9], [8], [9], [8], [9], [7], [6, 6], [8], [7], [5], [9], [10], [10], [8], [5, 5], [5, 7], [8], [8], [7], [], [6, 6]]
[[7], [7], [8], [8], [5], [8], [7], [9], [10], [8], [9], [9], [], [9], [10], [6, 6], [6, 6], [9], [7], [10], [8], [6, 6], [], [10], [8], [10], [8], [7], [5, 5], [10], [8], [10], [7], [5, 5], [9], [9], [10], [10], [8], [7], [10], [8], [9], [8], [9], [8]]
[[7], [5, 5], [7], [6, 6], [8], [9], [9], [10], [7], [6, 6], [8], [10], [8], [10], [10], [10], [8], [], [5, 5], [8], [10], [], [9], [], [8], [10], [9], [], [6, 6], [9], [8], [8], [9], [8], [8], [10], [7], [9], [8], [10], [7], [9], [8], [9], [10], [7], [5, 7]]
[[8], [10], [8], [8], [7], [8], [10], [8], [6, 6], [8], [8], [8], [8], [10], [9], [8], [], [10], [9], [5, 5], [7], [10], [], [], [9], [6, 6], [6, 6], [], [], [5, 5], [9], [10], [9], [9], [8], [10], [9], [10], [10], [7], [7], [7], [5, 7], [10], [9], [7], [9], [8]]
[[9], [8], [8], [8], [8], [5], [8], [7], [7], [6], [7], [10], [], [10], [7], [9], [9], [6], [], [7], [9], [8], [6], [10], [7], [9], [6], [10], [8], [10], [6], [10], [6], [8], [9], [10], [9], [8], [8], [5, 5], [5, 5], [10], [10], [9], [9], [10], [8], [7], [8]]
-EndAllocation

Instance: [[1], [386], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [257, 172, 129, 104, 86, 74, 65, 57, 52, 48, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [193, 129, 97, 78, 65, 56, 49, 43, 39, 36, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5], [6, 8, 8, 10]]
[[5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 9, 9, 9, 9, 9], [9, 9, 9, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7]]
[[8, 8, 8, 8], [5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [9, 9, 10, 10, 10, 10], [5, 5], [8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 8, 8, 8, 9, 9], [5, 5, 5, 5, 8, 9, 9], [9, 9], [7, 7, 7, 7, 7, 9, 9], [], [6, 6, 6, 6, 6, 6, 6, 6, 9], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 10], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [9, 9, 9, 9], [7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [5, 5, 5, 5], [8, 8], [6, 10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [], [5, 5, 5, 5, 10, 10], [], [6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10], [8, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8], [], [7, 7, 7, 7, 7], [6, 6, 9, 10, 10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [], [10, 10, 10, 10]]
[[10, 10, 10, 10], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [8, 8], [9, 9, 9, 10], [9, 9], [7, 7, 7, 7, 7], [5, 5, 5, 5, 10], [6, 6, 6], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [], [6, 6, 6, 9, 10], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], [5, 5, 5, 5]]
[[8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 6, 10], [], [8, 8, 8, 8], [9, 9, 9], [10, 10, 10], [7], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5], [10, 10, 10], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [], [6, 6, 6, 6, 6], [10, 10, 10], [9, 9, 9], [10, 10, 10], [7, 10], [8, 8, 8, 8], [6], [5, 9, 9, 9], [10, 10, 10], [5, 5, 5, 6, 6, 6], [7, 7, 7, 7], []]
[[6, 8, 8, 8], [7], [5, 5, 6, 6, 6], [10, 10, 10], [10, 10, 10], [8, 8, 8], [5, 5], [10, 10, 10], [9, 9, 9], [6, 6, 6, 6, 6], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [8, 8, 8], [10], [9, 9, 9], []]
[[8, 8, 8], [10, 10], [9, 9, 9], [9, 9, 9], [], [6, 6, 6, 6], [10, 10], [8, 8, 8], [8, 8, 8], [6, 10, 10], [10, 10], [10, 10], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [5, 5, 5, 5], [7], [6, 6, 6, 6]]
[[6, 6, 6, 6], [6, 10, 10], [], [10, 10], [5, 5, 5, 5], [8, 8, 8], [9, 9, 9], [7, 10, 10], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [], [9, 9, 9], [8, 8, 8], [], [10, 10], [10, 10], [8, 8, 8]]
[[8, 8, 8], [9, 9], [7, 7, 7], [10, 10], [9], [8, 8, 8], [9, 9], [9, 9], [6, 10, 10], [8, 8, 8], [10, 10], [10, 10], [5, 5, 5, 5], [7, 7], [9, 9], [6, 6, 6, 6], [6, 6, 6, 6], [10, 10], [8, 8, 8], []]
[[8, 8, 8], [8, 8, 8], [5, 6, 7, 7], [8, 8, 8], [10, 10], [], [9, 9], [], [6, 6, 6, 6], [10, 10], [9, 9], [9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [], [10, 10], [5, 5, 5, 9], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [10, 10], [6, 9, 9], [10, 10], [8, 8, 8], [10, 10], [6, 6, 6, 6], [], [6, 6, 6, 6], [7, 7], [], [7, 7, 7], [9, 9], [10, 10], [], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [9], [8, 8, 8], [8, 8, 8]]
[[8, 8], [9, 9], [], [9, 9], [9, 9], [9, 9], [6, 6, 6], [8, 8], [8, 8], [10, 10], [10, 10], [8, 8], [6, 6, 6], [7, 7], [6, 6, 6], [8, 8], [10, 10], [5, 5, 5, 5], [10, 10], [9], [7, 7, 7], [10, 10], [8, 8]]
[[10, 10], [8, 8], [10, 10], [9, 9], [6, 8, 8], [9], [5, 5, 5, 5], [10, 10], [], [9, 9], [10, 10], [8, 8], [7, 7, 7], [6, 6, 6], [], [], [9, 9], [9, 9], [7, 7], [8, 8], [10, 10], [6, 6, 6], [6, 8, 8], [6, 8, 8]]
[[10, 10], [10, 10], [7, 7], [5, 5, 5, 5], [9, 9], [8, 8], [10, 10], [9, 9], [8, 8], [8, 8], [], [8, 8], [8, 8], [6, 6, 6], [10, 10], [10, 10], [9, 9], [], [6, 6, 6], [], [9, 9], [9], [6, 6, 6], [7, 7, 7], [8, 8]]
[[6, 7, 7], [8, 8], [10, 10], [6, 6, 8], [6, 6, 6], [10, 10], [], [], [], [9, 9], [5, 5, 5, 5], [7, 7], [9, 9], [10, 10], [8, 8], [8, 9], [], [9, 9], [10, 10], [8, 8], [6, 6, 6], [7], [8, 8], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [], [6, 6, 6], [8, 8], [], [9, 9], [10, 10], [7, 7], [10, 10], [], [10, 10], [10, 10], [9, 9], [9, 9], [7], [6, 6, 6], [10, 10], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [5, 5, 5, 5], [8, 8], [9], [8, 8]]
[[8, 8], [8, 8], [8, 9], [8], [7], [10], [5, 10], [6, 6, 6], [9, 9], [10], [], [10], [10], [6, 6, 6], [6, 6, 6], [10], [5, 5, 5], [9, 9], [9, 9], [10], [8, 8], [10], [7, 7], [7, 7], [8, 10], [8, 8], [9, 9], [8, 10]]
[[8, 8], [8, 10], [10], [9, 9], [], [], [9], [6, 6, 6], [8, 8], [7], [8, 8], [6, 6, 6], [10], [10], [5, 5, 5], [8, 8], [7, 7], [10], [10], [6, 6, 6], [8, 8], [10], [10], [5, 10], [9, 9], [7, 7], [9, 9], [9, 9], [8, 10]]
[[8, 8], [8, 8], [6, 10], [8, 8], [6, 9], [7, 7], [8, 8], [8, 8], [6, 9], [6, 10], [6, 9], [7, 9], [6, 9], [8, 8], [6, 9], [7, 10], [9], [9], [], [9], [5, 10], [5, 5, 5], [10], [10], [10], [], [], [6, 10], [6, 10], [7, 10]]
[[6, 6], [8, 8], [8, 9], [8, 9], [10], [9], [10], [8, 9], [10], [9], [8, 8], [7, 7], [9], [6, 10], [7, 10], [5, 10], [10], [10], [8, 9], [6, 6], [], [6, 6], [9], [5, 5, 5], [10], [10], [8, 8], [9], [7, 7], [6, 6], [8, 8]]
[[5, 10], [8, 8], [6, 10], [9], [10], [10], [6, 10], [], [6, 6], [], [5, 5, 5], [8, 9], [7, 7], [9], [10], [8, 9], [7, 7], [10], [10], [9], [9], [8, 8], [6, 6], [7, 10], [10], [9], [9], [6, 6], [8, 8], [8, 8], [6, 9], [8, 8]]
[[6, 9], [8, 8], [10], [7], [9], [9], [7, 7], [10], [9], [10], [8, 8], [6, 6], [5, 5, 5], [8, 8], [10], [10], [], [7, 7], [10], [6, 9], [9], [5, 10], [10], [10], [8, 8], [8, 8], [6, 10], [9], [6, 6], [9], [9], [6, 6], [8, 8]]
[[6, 9], [8, 8], [10], [8, 8], [5, 5, 5], [6, 6], [8, 8], [7], [8, 8], [5, 9], [9], [9], [6, 6], [7, 7], [], [9], [9], [7, 7], [10], [8, 8], [10], [10], [10], [9], [10], [10], [6, 6], [10], [9], [6, 6], [10], [9], [8, 8], [10]]
[[6, 9], [5, 5, 5], [8, 8], [], [8, 8], [], [], [9], [9], [7], [9], [], [6, 9], [8, 8], [10], [10], [10], [10], [10], [8, 8], [8, 8], [5, 10], [6, 9], [9], [7, 7], [7, 7], [10], [8, 8], [6, 6], [6, 6], [10], [6, 9], [10], [9], [6, 10]]
[[6, 6], [10], [9], [6, 8], [6, 8], [6, 8], [6, 8], [10], [6, 8], [5, 9], [10], [10], [10], [10], [10], [9], [7, 7], [6, 7], [9], [10], [9], [8], [9], [9], [8], [10], [7, 7], [8], [5, 5], [9], [5, 8], [10], [6, 8], [8], [8], [9]]
[[6, 6], [5, 9], [10], [8], [8], [10], [7, 7], [6, 8], [10], [10], [10], [5, 9], [6, 7], [6, 8], [7, 7], [9], [8], [10], [8], [9], [8], [9], [8], [8], [10], [9], [8], [9], [10], [9], [8], [10], [5, 9], [6, 6], [6, 6], [5, 8], [10]]
[[9], [6, 6], [9], [9], [6, 8], [8], [5, 5], [9], [8], [10], [5, 8], [5, 9], [10], [9], [10], [8], [10], [10], [7, 7], [8], [6, 6], [7, 7], [9], [10], [10], [9], [6, 6], [8], [10], [9], [10], [8], [8], [8], [6, 8], [10], [7], [6, 8]]
[[9], [8], [6, 7], [9], [9], [5, 8], [9], [9], [10], [8], [6, 7], [9], [6, 7], [5, 8], [5, 5], [8], [10], [8], [9], [8], [6, 7], [10], [10], [6, 6], [8], [8], [6, 7], [8], [10], [8], [6, 6], [10], [8], [10], [9], [10], [10], [10], [9]]
[[6, 6], [5, 8], [5, 8], [9], [9], [9], [6, 7], [8], [8], [10], [], [9], [5, 8], [9], [6, 7], [10], [10], [10], [6, 7], [10], [9], [9], [10], [6, 7], [10], [8], [10], [8], [8], [8], [9], [8], [], [9], [8], [10], [10], [5, 8], [6, 6], [6, 7]]
[[6, 7], [6, 6], [6, 7], [10], [9], [8], [8], [8], [10], [9], [10], [5, 6], [9], [10], [9], [10], [10], [9], [5, 8], [6, 7], [10], [8], [10], [10], [6], [9], [8], [9], [5, 8], [8], [8], [8], [10], [8], [], [6], [9], [9], [7], [5, 8], [6, 7]]
[[10], [6, 6], [6, 7], [10], [6, 6], [6, 7], [9], [10], [6, 7], [10], [9], [5, 8], [10], [8], [10], [5, 8], [8], [8], [8], [8], [10], [8], [7], [8], [9], [9], [10], [10], [9], [8], [9], [9], [6, 6], [9], [9], [5, 5], [], [], [8], [7], [8], [10]]
[[9], [10], [10], [8], [8], [9], [9], [6, 6], [10], [8], [6], [10], [5, 5], [9], [10], [10], [9], [9], [9], [7], [10], [5, 6], [8], [9], [9], [10], [10], [7], [8], [10], [8], [6], [8], [8], [8], [6, 6], [8], [6, 6], [5, 7], [8], [8], [7], [7]]
[[6], [8], [8], [8], [8], [], [8], [8], [6, 6], [9], [9], [5, 5], [7], [10], [8], [8], [10], [10], [9], [6, 6], [9], [10], [8], [5, 5], [9], [7], [6, 6], [9], [9], [10], [10], [8], [10], [7], [7], [10], [10], [8], [10], [8], [9], [9], [6, 6], [7]]
[[10], [9], [5, 6], [8], [], [5, 7], [8], [8], [8], [10], [8], [8], [8], [10], [9], [10], [8], [10], [8], [10], [], [10], [10], [10], [7], [5, 5], [10], [9], [6, 6], [7], [9], [7], [6, 6], [9], [6, 6], [7], [8], [8], [], [8], [9], [9], [9], [6, 6], [9]]
[[8], [9], [8], [6, 6], [5, 6], [8], [9], [9], [9], [8], [8], [7], [9], [9], [8], [5, 6], [6, 6], [10], [10], [], [8], [6, 6], [6], [10], [9], [10], [10], [10], [8], [9], [10], [10], [10], [5, 5], [9], [10], [7], [8], [8], [7], [], [8], [], [7], [7], [8]]
[[10], [10], [8], [8], [6], [9], [9], [10], [6, 6], [6, 6], [8], [10], [9], [10], [10], [10], [7], [], [5, 5], [], [10], [6, 6], [9], [], [8], [], [9], [], [6, 6], [9], [8], [8], [9], [8], [8], [10], [7], [9], [5, 7], [7], [8], [9], [10], [8], [8], [5, 7], [8]]
[[8], [6], [8], [8], [7], [8], [10], [8], [6, 6], [7], [8], [8], [8], [10], [9], [], [], [10], [9], [5, 5], [8], [10], [], [], [9], [], [6, 6], [8], [6, 6], [5, 5], [9], [10], [9], [9], [10], [10], [9], [10], [10], [7], [6, 6], [7], [8], [10], [9], [8], [9], [7]]
[[9], [8], [6], [8], [8], [], [8], [7], [7], [8], [5, 5], [10], [], [10], [9], [9], [9], [6], [8], [7], [9], [8], [6], [10], [7], [9], [6], [6], [8], [10], [9], [6], [7], [10], [9], [10], [9], [6], [6], [5, 5], [10], [10], [10], [8], [8], [10], [8], [6], [8]]
-EndAllocation

Instance: [[1], [385], 49]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,49. UB Alg: [257, 172, 129, 102, 86, 73, 65, 57, 52, 46, 44, 40, 37, 34, 33, 30, 29, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [193, 129, 97, 77, 65, 55, 49, 43, 39, 35, 33, 30, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,49:
-StartAllocation
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9], [4, 9, 9, 9, 9, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10], [4, 5, 5, 5, 5, 5]]
[[6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 7, 7, 10], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5], [9, 10, 10, 10]]
[[10, 10, 10, 10, 10, 10, 10], [4, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5]]
[[4, 6, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 5, 6, 10, 10], [7, 7, 7, 7, 7, 7, 8], [], [6, 6, 6, 6, 6, 10, 10, 10], [9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 7, 7, 7, 7, 7, 7, 10], [9], [8, 8, 8, 9, 9, 9], [8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10]]
[[5, 5, 5, 5, 5, 10, 10], [4, 8, 8, 8, 10, 10], [10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [10, 10], [7, 7, 7, 7, 7, 7, 10], [6, 6, 6, 6, 6, 6, 6, 10], [10, 10]]
[[4, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6], [], [], [5, 5, 5, 5, 8, 8, 8], [8, 10, 10, 10], [5, 10, 10, 10, 10], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [8, 8, 8, 8], [], [6, 6, 6, 6, 6, 6, 6], [9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10], [9, 9, 9, 9], [5, 5, 5, 5, 5]]
[[4, 8, 8, 8, 8], [], [10, 10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [9, 9], [], [10, 10, 10, 10], [6, 10, 10, 10], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 7]]
[[4, 6, 8, 10], [5, 5, 5, 5, 5, 10], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [], [9, 9], [7, 10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [7, 7, 7, 7, 7], []]
[[8, 8, 8, 8], [8], [10, 10, 10], [], [6, 7, 7, 9], [9, 9, 9], [10, 10, 10], [10, 10], [7, 7, 7, 7], [6, 9, 9, 9], [4, 5, 5, 5, 5, 5], [10, 10, 10], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8]]
[[4, 8, 10], [9, 9, 9], [6, 6], [], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10], [10, 10, 10], [7, 7, 9, 10], [8, 8, 8, 8], [9, 9, 9], [5, 5, 5, 5, 5], [10, 10, 10], [], [7, 7, 7, 7], [8, 8, 8, 8]]
[[4, 8, 8, 8], [7, 7, 7, 7], [6, 6, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8], [7, 7, 9], [5, 5, 5, 5, 10], [5, 10], [6, 6, 6, 6, 6], [8], [9, 9, 9], [], [], [9, 9, 9]]
[[5, 8, 8, 8], [6, 10, 10], [9, 9, 9], [9, 9, 9], [8, 8, 8], [4, 6, 6, 6, 6], [10, 10], [10, 10], [5, 8, 8, 8], [9, 9, 9], [9, 10, 10], [5, 5, 5, 10], [10, 10], [7, 7, 7, 7], [], [], [6, 6, 7, 7], []]
[[4, 10, 10], [10, 10], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 9], [9, 9, 9], [9, 9, 9], [6, 6, 6, 6], [5, 5, 5, 5, 5], [10], [], [7, 7, 7, 7], [8, 8, 8], [7, 7], [], [10, 10], [9, 9, 9], [8, 8, 8]]
[[8, 8, 8], [9, 9], [7, 7, 7], [9, 9], [10, 10], [8, 8, 8], [9, 9], [9, 9], [10, 10], [4, 9, 9], [6, 6, 6, 6], [10, 10], [10, 10], [5, 5, 5, 5, 5], [10], [], [6, 6, 6], [10, 10], [8, 8, 8], [7, 7, 7]]
[[8, 8, 8], [8, 8, 8], [4, 7, 7, 7], [5, 5, 5, 5, 5], [10, 10], [10], [7, 7, 7], [10, 10], [6, 9, 9], [10, 10], [9, 9], [6], [8, 8, 8], [10, 10], [], [6, 9, 9], [9, 9], [], [10, 10], [6, 6, 6, 6], [9, 9]]
[[5, 8, 8], [4, 10, 10], [6, 9, 9], [8], [8, 8, 8], [10, 10], [9, 9], [6, 6, 6, 6], [7, 7, 7], [], [10, 10], [], [9, 9], [10, 10], [], [10, 10], [7, 7, 7], [9, 9], [8, 8, 8], [9, 9], [6, 6, 10], [5, 5, 5, 5]]
[[4, 8], [9, 10], [10, 10], [9, 9], [5, 5, 5, 5], [6, 9], [10, 10], [9, 9], [8, 8], [10, 10], [5, 10], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6], [10], [6, 6, 6], [8, 8], [9, 9], [], [7, 7, 7], [8, 8], [8, 8]]
[[4, 8, 8], [8, 8], [10, 10], [10, 10], [9, 9], [7, 7, 7], [10, 10], [], [], [6, 6, 6], [], [5, 10], [8], [8, 8], [9, 9], [10, 10], [9, 9], [7, 7, 7], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [6, 6, 6], [6, 8, 8]]
[[4, 8, 8], [10, 10], [6, 6, 6], [5, 5, 5, 5], [9, 9], [5, 8, 8], [10, 10], [7, 7, 7], [8, 8], [8, 8], [10], [9, 9], [8], [10, 10], [9, 9], [], [9, 9], [], [6, 6, 6], [], [9, 9], [10, 10], [10, 10], [7, 7, 7], [6]]
[[4, 7, 7], [8, 8], [8, 8], [6, 6, 6], [7, 7], [9, 10], [10, 10], [], [8], [9, 9], [5, 5, 5, 5], [8, 8], [6, 9], [10, 10], [8, 8], [10, 10], [], [9, 9], [10, 10], [6, 6, 6], [5, 7, 7], [], [9, 9], [10, 10], [9, 9], []]
[[4, 10], [8, 8], [7, 7], [6, 6, 6], [9, 9], [5], [8, 8], [10, 10], [9, 9], [7, 7], [9, 9], [10, 10], [], [8, 8], [8, 8], [10, 10], [], [], [], [6, 6, 6], [9, 9], [7, 7], [6, 8], [10, 10], [9, 9], [5, 5, 5, 5], [10, 10]]
[[4, 10], [8, 8], [9, 9], [5, 5], [7, 7], [6, 6, 6], [8, 8], [10], [9, 9], [10], [10], [10], [], [8, 10], [6, 6, 6], [10], [10], [5, 5, 5], [9, 9], [10], [8, 8], [9, 9], [7, 7], [7, 7], [6, 10], [8, 8], [9, 9], [10]]
[[8, 8], [4, 6, 6], [6], [10], [10], [8, 10], [10], [6, 6, 6], [8, 8], [7, 10], [7, 10], [5, 5], [10], [], [9, 9], [7, 7], [8, 8], [10], [9, 9], [9, 9], [7, 7], [9, 9], [10], [], [10], [5, 5, 5], [6, 10], [9, 9], [8, 8]]
[[10], [4, 8], [10], [7, 7], [8, 9], [7, 7], [8, 8], [8, 8], [10], [8, 9], [10], [9], [5, 5], [9], [7, 10], [5, 5, 5], [10], [10], [10], [7, 10], [6, 10], [9], [6, 10], [6, 6], [9], [8, 8], [6, 9], [9], [6, 9], [6, 9]]
[[8], [4, 8], [10], [6, 9], [10], [7, 7], [9], [7, 7], [5, 10], [10], [9], [5, 5, 5], [9], [10], [8, 9], [8, 8], [9], [10], [7, 7], [6, 10], [6, 9], [6, 6], [9], [6, 9], [10], [10], [10], [6, 9], [8, 8], [5, 10], [8, 8]]
[[4, 8], [8, 8], [9], [9], [9], [10], [5, 6, 6], [10], [6, 6], [10], [5, 5, 5], [9], [7, 7], [9], [10], [9], [7, 7], [10], [8, 8], [7, 9], [10], [8, 8], [6, 10], [7, 10], [9], [10], [10], [9], [5, 9], [6, 6], [10], [8, 8]]
[[4, 9], [8], [10], [10], [7, 9], [9], [7, 7], [10], [10], [9], [10], [6, 6], [5, 5, 5], [8, 8], [10], [10], [5, 6], [7, 7], [6, 6], [9], [9], [5, 9], [10], [10], [7, 9], [10], [10], [9], [8, 8], [8, 8], [9], [6, 6], [8, 8]]
[[10], [10], [8], [10], [5, 5, 5], [9], [8, 8], [7, 7], [8, 8], [9], [6, 9], [5, 5], [6, 6], [7, 7], [10], [9], [9], [10], [10], [8, 8], [10], [10], [10], [8, 8], [10], [9], [6, 6], [9], [9], [6, 6], [10], [9], [7, 7], [4, 9]]
[[7, 7], [9], [6, 7], [10], [10], [9], [6, 8], [10], [6, 8], [10], [10], [8], [6, 8], [10], [9], [10], [7, 7], [6, 8], [5, 9], [10], [9], [7], [10], [8], [5, 8], [9], [6, 6], [8], [5, 9], [9], [5, 8], [9], [5, 9], [10], [4, 10]]
[[4, 8], [10], [5, 6], [10], [6, 8], [5, 9], [6, 8], [9], [9], [7, 7], [10], [10], [10], [10], [10], [6, 6], [9], [9], [9], [10], [8], [10], [9], [9], [10], [10], [7, 7], [8], [5, 8], [8], [5, 8], [9], [6, 6], [8], [7, 7], [5, 9]]
[[7, 7], [5, 7], [5, 9], [6, 8], [6, 8], [10], [5, 9], [10], [10], [6, 8], [9], [9], [10], [10], [10], [10], [9], [10], [6, 8], [10], [9], [9], [7], [7, 7], [5], [10], [9], [10], [9], [], [5, 8], [6, 8], [8], [6, 6], [8], [9], [4, 8]]
[[7, 7], [10], [5, 9], [9], [9], [6, 8], [9], [10], [6, 6], [10], [8], [10], [8], [9], [10], [10], [10], [10], [8], [8], [7], [9], [5, 8], [9], [5, 8], [5, 5], [6, 6], [10], [7, 7], [8], [8], [9], [10], [10], [9], [6, 6], [4, 7], [9]]
[[8], [9], [10], [10], [4, 9], [10], [10], [5, 8], [5, 8], [10], [6, 7], [8], [6, 7], [10], [7], [7], [8], [8], [5, 5], [10], [9], [8], [9], [10], [9], [6, 7], [6], [10], [10], [9], [9], [9], [9], [10], [9], [6, 6], [8], [6, 7], [5, 8]]
[[7], [4, 8], [8], [10], [9], [6, 7], [8], [10], [6, 6], [9], [10], [5, 8], [5, 8], [9], [10], [6, 6], [8], [10], [9], [9], [5, 5], [10], [10], [6, 6], [9], [5, 7], [9], [9], [8], [8], [7], [9], [10], [8], [7], [9], [10], [7], [10], [10]]
[[8], [6, 7], [5, 8], [8], [8], [7], [10], [10], [8], [10], [8], [10], [9], [10], [10], [7], [6, 6], [8], [10], [7], [10], [9], [8], [9], [10], [6, 6], [10], [4, 9], [7], [9], [5, 5], [6, 6], [8], [9], [9], [9], [9], [7], [10], [9], [5, 5]]
[[8], [9], [10], [9], [7], [7], [9], [6, 6], [10], [5, 7], [6], [10], [7], [], [10], [10], [9], [5, 7], [8], [9], [9], [10], [9], [10], [6, 6], [5, 5], [8], [7], [5, 8], [8], [8], [10], [6, 6], [8], [8], [10], [10], [8], [9], [10], [4, 9], [9]]
[[8], [5], [9], [8], [6, 6], [10], [9], [10], [7], [6], [8], [10], [9], [8], [6, 6], [7], [8], [10], [8], [10], [9], [7], [7], [10], [10], [5, 5], [7], [9], [6, 6], [8], [9], [10], [10], [8], [9], [10], [10], [5, 5], [9], [8], [9], [9], [4, 7]]
[[8], [8], [7], [8], [8], [10], [6], [7], [], [8], [9], [7], [7], [5], [8], [9], [9], [10], [10], [5, 5], [9], [10], [7], [9], [9], [10], [5, 5], [10], [9], [10], [7], [8], [10], [8], [10], [10], [9], [6, 6], [10], [4, 8], [9], [9], [6, 6], [6, 6]]
[[7], [10], [10], [8], [10], [7], [10], [7], [6, 6], [7], [8], [9], [9], [5], [9], [10], [9], [10], [10], [9], [6, 6], [8], [10], [9], [8], [6, 6], [9], [8], [5, 5], [10], [7], [8], [], [8], [6], [8], [10], [7], [4, 8], [9], [9], [], [5, 5], [9], [10]]
[[8], [4, 8], [10], [10], [9], [7], [10], [7], [10], [10], [9], [6, 6], [8], [9], [7], [5, 5], [6, 6], [10], [5, 7], [8], [9], [5, 5], [9], [10], [7], [10], [7], [9], [8], [8], [], [], [8], [8], [8], [6, 6], [10], [10], [], [], [9], [10], [9], [9], [9], [6]]
[[7], [8], [7], [8], [10], [9], [9], [10], [6, 6], [10], [9], [10], [7], [9], [6], [10], [10], [10], [5, 5], [], [10], [10], [6, 6], [7], [8], [], [9], [], [6, 6], [9], [10], [8], [9], [8], [8], [], [10], [9], [5, 5], [7], [8], [9], [7], [5], [8], [4, 8], [9]]
[[10], [7], [7], [8], [7], [7], [8], [10], [6, 6], [7], [8], [6], [8], [5], [9], [], [], [10], [9], [5, 5], [8], [10], [], [9], [], [5, 5], [], [10], [8], [9], [9], [10], [10], [6, 6], [10], [10], [9], [10], [9], [8], [6, 6], [9], [8], [10], [9], [4, 8], [9], [7]]
[[9], [4], [10], [6], [8], [10], [8], [7], [6], [], [9], [9], [8], [], [6], [8], [8], [5, 5], [9], [10], [7], [7], [9], [9], [6], [10], [10], [10], [9], [8], [9], [6], [7], [5], [10], [10], [10], [9], [8], [5, 5], [9], [10], [10], [8], [7], [6], [7], [6], [8]]
-EndAllocation

Instance: [[1], [400], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [266, 178, 133, 106, 89, 77, 66, 60, 53, 49, 45, 41, 38, 36, 33, 32, 30, 29, 26, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [200, 134, 100, 80, 67, 58, 50, 45, 40, 37, 34, 31, 29, 27, 25, 24, 23, 22, 20, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [3, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6]]
[[3, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 10, 10, 10, 10], [5, 5, 5, 5, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10]]
[[3, 5, 5, 5, 5, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 8], [9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[3, 7, 7, 7, 7, 7, 9, 9, 9], [7, 9, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9, 9], [5, 5, 5, 5, 8, 8, 9], [8, 8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10, 10], [9, 9, 9, 10, 10]]
[[10, 10, 10, 10, 10, 10], [3, 8, 8, 8, 8, 8, 8, 8], [], [8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6]]
[[3, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 9], []]
[[3, 5, 5, 5, 5], [8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10], [9, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9], [5, 5, 5, 5], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[3, 9, 9, 9], [5, 5, 5, 9, 9], [], [8, 8, 8, 8, 8], [], [10, 10, 10, 10], [10, 10, 10, 10], [7, 9, 9, 9], [5, 6, 6, 6, 6, 6, 6], [9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[3, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [10, 10, 10], [7, 7, 7, 7, 10], [10, 10, 10], [7, 7, 10, 10], [], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5], [9, 9, 9, 9]]
[[3, 8, 8, 8, 8], [8, 8], [], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [7], [10, 10, 10], [10, 10, 10], [5, 9, 9, 9], [5, 5, 9, 9], [5, 9, 9, 9], [9, 9, 9], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8], [5, 5, 5, 5], [9, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6], [6, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 7], [3, 9, 9, 9], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[10, 10, 10], [6, 7, 9, 9], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5, 5, 5], [], [7, 7, 7, 7], [9, 9, 10], [3, 9, 9, 9], [7, 8, 8, 9], [10, 10], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[3, 6, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5, 5], [9, 9], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8], [7, 7], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], []]
[[3, 8], [5, 5, 5, 5], [7, 7, 7, 7], [6, 6, 9], [9, 9, 9], [8, 8, 8], [9, 10, 10], [10, 10], [8, 8, 8], [8, 8, 8], [10, 10], [7, 7], [10, 10], [], [6, 6, 6, 6], [9, 9, 9], [10, 10], [10, 10], [9, 9, 9]]
[[3, 5, 8], [9], [9, 9], [7, 7, 7], [5, 5, 5, 10], [7, 7, 10], [6, 10, 10], [9, 9], [9, 9], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [10, 10], [], [9, 9], [6, 6, 6, 6], [7, 9, 9], [6, 10, 10], [8, 8, 8]]
[[8, 8, 8], [3, 10, 10], [6, 10, 10], [5, 10, 10], [6, 10, 10], [6], [7, 7, 7], [9, 9], [5, 5, 9], [10, 10], [8], [9, 9], [8, 8, 8], [6, 10, 10], [5, 9, 9], [7, 7, 7], [], [8, 8, 8], [9, 9], [6], [6, 9, 9]]
[[8], [3, 10, 10], [5, 5, 5, 9], [10, 10], [5, 9, 9], [6, 6, 6, 6], [10, 10], [], [8, 8, 8], [7, 7, 7], [10, 10], [7, 7, 7], [9, 9], [10, 10], [], [9, 9], [9, 9], [9, 9], [6, 6], [10, 10], [8, 8, 8], [8, 8, 8]]
[[3, 8, 9], [9, 9], [], [], [10, 10], [9, 9], [], [8, 8, 8], [8, 8, 8], [9, 9], [10, 10], [6, 6], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [5, 5, 5, 5], [7, 7, 7], [10, 10], [9, 9]]
[[3, 8, 8], [9, 9], [9, 9], [9, 9], [], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [9, 9], [10], [6, 6, 6], [10, 10], [10, 10], [], [5, 5, 5, 5], [9, 10], [8, 8], [7, 7, 7]]
[[3, 8, 8], [8, 8], [8], [6, 6, 6], [10, 10], [9, 9], [7, 7, 7], [8, 8], [9, 9], [9, 9], [], [9, 9], [5, 5, 5, 5], [10, 10], [], [10, 10], [8, 8], [], [6, 6, 6], [8, 9], [9, 9], [10, 10], [10, 10], [7, 7, 7], [10, 10]]
[[3, 10], [5, 5, 5, 5], [9, 10], [9, 9], [7, 7, 7], [10, 10], [], [], [9, 9], [9, 9], [6, 6, 6], [8, 8], [8, 8], [10, 10], [], [10, 10], [6, 6, 6], [8, 8], [10, 10], [7, 7, 7], [8, 8], [], [9, 9], [9, 9], [10, 10], [8, 8]]
[[3, 8, 8], [10], [10, 10], [9, 9], [10, 10], [], [7, 7], [9], [10, 10], [8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [9, 9], [], [9, 9], [5, 5, 5, 5], [], [6, 6, 6], [9, 9], [7, 7], [8, 10], [10, 10], [8, 8], [7, 7], [8, 8]]
[[3, 8, 8], [8, 8], [], [], [], [9, 9], [], [5, 5, 5, 5], [6, 6, 6], [10, 10], [7, 7], [9, 9], [9, 9], [10, 10], [10, 10], [], [10, 10], [6, 6, 6], [9, 9], [9], [8, 8], [10, 10], [7, 7], [7, 7], [8, 8], [8, 8], [9, 9], [10, 10]]
[[8, 8], [3, 6, 6], [5, 10], [9, 9], [9, 9], [9, 9], [6, 6], [7, 10], [8, 9], [7, 10], [6, 6], [10], [10], [8, 8], [5, 5, 5], [7, 7], [7, 7], [10], [], [10], [8, 8], [10], [9, 9], [10], [9, 9], [10], [10], [8, 10], [8, 8]]
[[6, 10], [8, 8], [7, 10], [8, 8], [5, 9], [8, 8], [], [7, 10], [9, 9], [], [9, 9], [7, 10], [5, 5, 5], [10], [], [10], [10], [6, 10], [9, 9], [3], [10], [7, 7], [9, 9], [10], [9, 9], [6, 6, 6], [8, 8], [7, 10], [6, 10], [8, 8]]
[[6, 9], [3, 5, 9], [7, 10], [10], [10], [9], [8, 8], [6, 9], [7, 9], [10], [6, 9], [8, 8], [10], [10], [10], [6, 10], [10], [9], [10], [8, 8], [5, 5, 5], [6, 6], [10], [9], [8, 8], [7, 9], [9], [9], [7, 7], [7, 10], [8, 8]]
[[8, 8], [8, 8], [3, 5, 9], [6, 9], [9], [10], [10], [10], [6, 10], [9], [9], [5, 9], [10], [8, 8], [10], [9], [8, 8], [9], [5, 10], [6, 6], [10], [7, 7], [9], [6, 10], [10], [5, 10], [9], [10], [7, 7], [6, 9], [7, 7], [8, 8]]
[[10], [8, 8], [3, 9], [7, 7], [7, 9], [10], [10], [], [5, 5, 5], [6, 10], [8, 9], [5, 10], [8, 9], [9], [9], [9], [7, 10], [8, 8], [7, 10], [9], [9], [7, 9], [9], [10], [], [10], [10], [6, 6], [6, 6], [8, 8], [10], [6, 10], [8, 8]]
[[3, 10], [10], [10], [10], [9], [9], [5, 5, 5], [6, 8], [7, 9], [10], [10], [10], [6, 9], [10], [9], [6, 8], [10], [8, 8], [9], [], [7, 7], [7, 9], [10], [8, 8], [5, 9], [8, 8], [6, 6], [9], [6], [10], [7, 9], [7, 9], [8, 8], [10]]
[[6, 10], [5, 9], [7, 9], [10], [7, 7], [7, 9], [10], [10], [10], [7, 7], [8], [5, 5, 5], [9], [10], [10], [9], [8], [10], [10], [10], [10], [9], [8], [6, 9], [9], [6, 10], [9], [9], [3, 8], [6, 6], [8], [8, 8], [9], [6, 8], [8, 8]]
[[7, 9], [3, 9], [5, 10], [10], [7, 8], [8], [9], [10], [8, 8], [10], [9], [10], [10], [10], [7, 9], [9], [6, 6], [9], [10], [9], [8], [8], [10], [7, 8], [7, 7], [9], [6, 6], [5, 9], [10], [8], [6, 6], [8], [5, 10], [5, 9], [8], [10]]
[[3, 10], [5, 8], [10], [10], [5, 9], [10], [10], [], [6, 8], [7, 7], [7, 7], [6, 8], [10], [10], [6, 8], [9], [6, 8], [9], [9], [5, 9], [5, 9], [9], [10], [6, 8], [9], [9], [10], [10], [10], [8], [10], [8], [8], [6, 8], [9], [7, 7], [9]]
[[7, 7], [8], [9], [9], [5, 8], [10], [10], [10], [3, 9], [10], [5, 9], [6, 8], [5, 9], [9], [6, 8], [9], [7, 7], [5, 9], [8], [9], [8], [8], [10], [], [8], [10], [10], [6, 8], [10], [9], [10], [6, 6], [6, 8], [7, 7], [9], [10], [10], [10]]
[[3, 7], [], [5, 8], [6, 8], [5, 9], [8], [10], [9], [8], [6, 8], [9], [10], [10], [10], [9], [9], [10], [10], [5, 9], [9], [10], [9], [10], [9], [6, 8], [6, 8], [10], [10], [6, 8], [8], [7, 7], [6, 8], [7, 7], [10], [7], [9], [9], [10], [5]]
[[3, 9], [9], [10], [9], [10], [8], [8], [5, 8], [5, 8], [5, 8], [8], [9], [10], [9], [5, 8], [10], [8], [9], [10], [10], [9], [6, 7], [6, 7], [7], [9], [10], [9], [9], [7], [6, 6], [10], [10], [8], [8], [6, 7], [6, 7], [10], [10], [10], [9]]
[[3, 9], [5, 8], [10], [7], [8], [5, 8], [10], [9], [10], [10], [9], [9], [8], [10], [9], [10], [10], [5, 7], [9], [8], [10], [10], [9], [8], [10], [9], [], [9], [6, 6], [9], [8], [5, 8], [6, 7], [6, 7], [8], [6, 7], [8], [6, 7], [10], [10], [9]]
[[8], [3, 6], [6, 7], [6, 7], [8], [9], [6], [10], [8], [10], [10], [9], [10], [5, 7], [10], [9], [9], [10], [8], [9], [9], [10], [8], [9], [6, 7], [8], [9], [7], [10], [10], [10], [9], [5, 5], [9], [8], [9], [10], [8], [8], [10], [6, 7], [5, 8]]
[[], [10], [5, 5], [10], [10], [5, 8], [5, 8], [9], [10], [8], [8], [8], [9], [10], [], [9], [6, 7], [8], [9], [6, 7], [10], [6, 7], [10], [9], [10], [10], [6, 7], [6, 7], [8], [8], [8], [9], [9], [10], [10], [9], [8], [9], [10], [9], [6, 7], [9], [3]]
[[6, 7], [7], [6, 6], [6, 7], [9], [9], [10], [10], [], [8], [10], [10], [10], [5, 7], [10], [5, 8], [10], [9], [], [9], [3, 10], [10], [9], [10], [10], [8], [9], [10], [8], [9], [8], [6, 7], [], [8], [8], [9], [9], [5, 5], [6, 7], [8], [9], [8], [8], [9]]
[[5, 7], [8], [8], [8], [10], [8], [10], [7], [6, 6], [10], [], [9], [9], [10], [9], [5, 7], [9], [], [9], [8], [5, 5], [7], [8], [8], [8], [6, 6], [9], [6, 6], [8], [10], [7], [9], [10], [8], [10], [9], [10], [10], [7], [9], [10], [10], [10], [3, 9], [9]]
[[3, 8], [5, 7], [8], [8], [6, 6], [9], [9], [10], [8], [5, 7], [7], [8], [10], [], [], [6, 6], [8], [8], [8], [10], [8], [6, 6], [10], [10], [8], [10], [9], [], [9], [10], [5, 5], [7], [7], [10], [10], [9], [9], [9], [9], [10], [9], [9], [10], [10], [9], [7]]
[[8], [5, 7], [6], [9], [9], [8], [5, 7], [8], [8], [9], [9], [10], [9], [10], [9], [8], [10], [9], [7], [10], [6], [10], [8], [10], [10], [10], [9], [10], [8], [8], [10], [6], [9], [9], [9], [], [7], [6], [7], [5, 5], [10], [6, 6], [8], [7], [10], [], [3, 8]]
[[3, 8], [8], [8], [10], [5], [10], [10], [9], [9], [6, 6], [8], [10], [8], [10], [7], [7], [], [7], [5, 5], [9], [10], [6, 6], [], [9], [9], [], [7], [8], [9], [], [9], [10], [10], [6, 6], [10], [10], [10], [9], [7], [9], [8], [9], [8], [9], [5, 7], [8], [10], [8]]
[[8], [9], [5], [8], [8], [9], [9], [8], [10], [9], [10], [6, 6], [7], [], [10], [10], [9], [8], [6, 6], [9], [10], [5, 5], [5, 7], [7], [10], [], [9], [8], [8], [8], [9], [8], [6, 6], [], [10], [9], [9], [], [7], [7], [10], [10], [10], [], [10], [7], [10], [9], [3, 8]]
[[6], [8], [8], [8], [10], [8], [10], [], [9], [5, 5], [5, 5], [10], [6], [8], [9], [9], [9], [6], [9], [10], [9], [], [8], [], [10], [8], [7], [10], [8], [9], [10], [8], [7], [10], [7], [10], [10], [7], [7], [10], [8], [7], [6], [9], [9], [6], [9], [10], [3, 6], [9]]
-EndAllocation

Instance: [[1], [399], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [266, 177, 133, 106, 89, 76, 66, 60, 53, 49, 45, 41, 38, 36, 33, 32, 30, 28, 26, 25, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [200, 133, 100, 80, 67, 57, 50, 45, 40, 37, 34, 31, 29, 27, 25, 24, 23, 21, 20, 19, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]]
[[6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6], [6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 7], [10, 10, 10, 10, 10, 10, 10, 10], [8, 8], [5, 5, 5, 7, 7, 7, 7, 7, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6], [9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 10, 10, 10, 10], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 8], [10], [9, 9, 9, 9]]
[[5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [10, 10, 10]]
[[8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5], [10, 10, 10], [8, 8, 8, 8, 8]]
[[8, 8, 8], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [5, 5, 5, 5, 9], [10, 10, 10, 10], [6, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [7], [7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [8, 9], [10, 10, 10], [6, 7, 7, 7, 7], [5, 5, 5, 5, 10], [9, 9, 9, 9], [7, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [7, 10, 10, 10], []]
[[8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [8, 9], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [10, 10, 10], [], [9, 9, 9, 9], [5, 5, 5, 5], [6, 7], [10, 10], [6, 6, 6, 6, 6, 6]]
[[7, 7, 8], [5, 5, 5, 5, 6], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8], [6, 9, 9, 9], [], [10, 10, 10], [7, 7, 7, 7], [10, 10], [9, 9, 9], [10, 10, 10]]
[[10, 10], [7, 7, 9, 9], [8, 8, 8, 8], [8, 9], [6, 6, 6, 6, 6], [5, 5, 5, 5], [6, 6], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[8, 8, 8], [8, 8, 8], [10, 10], [9, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5, 5], [], [], [10, 10, 10], [10, 10, 10], [9, 9, 9], [8, 8, 8], [7, 7, 8, 8], [7, 7, 7, 7], [6, 6, 8, 8], [9, 9, 9], [10, 10, 10]]
[[8, 8, 8], [7, 7, 7, 7], [7, 7], [10, 10], [9, 9, 9], [8, 8, 8], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [5, 5, 5, 5], [], [8, 10], [6, 6, 6], [10, 10], [10, 10], [10, 10], [10, 10], [9, 9, 9]]
[[8, 8, 8], [10, 10], [6, 9, 9], [7, 7, 7], [5, 5, 5, 5], [10, 10], [10, 10], [9, 9], [8, 9, 9], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [9], [], [9, 9], [6, 6, 6, 6], [7, 7, 7], [6, 6, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [9, 10], [10, 10], [], [9, 9], [7, 7, 7], [9, 9], [5, 5, 5, 5], [10, 10], [8, 8, 8], [9, 9], [8, 8, 8], [10, 10], [6, 6, 6], [7, 7, 7], [8], [8, 8, 8], [10, 10], [6, 6, 6, 6], [9, 9]]
[[8, 9], [10, 10], [], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [], [8, 8, 8], [7, 7, 7], [10, 10], [8, 8, 8], [], [10, 10], [9, 9], [5, 5, 5, 5], [7, 7, 7], [9, 9], [6, 6, 10], [6, 9, 9], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [], [6, 6, 6], [5, 9, 9], [10], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [], [10, 10], [], [7, 7, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [8], [10, 10], [5, 5, 5, 7], [8, 8, 8], [10, 10], [9, 9]]
[[7, 7, 7], [5, 8, 8], [9, 9], [9, 9], [], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], [5, 8, 8], [10, 10], [5, 8, 8], [8, 8], [5, 6], [9, 9], [10, 10], [6, 6, 6], [10, 10], [10, 10], [9], [], [9, 9], [8, 10], [8, 8]]
[[8, 8], [9], [8], [10, 10], [10, 10], [9, 9], [9, 9], [8, 8], [9, 9], [6, 6, 6], [6], [9, 9], [8, 8], [10, 10], [], [10, 10], [8, 8], [5, 5, 5, 5], [6, 6, 6], [8, 8], [7, 7, 7], [8, 8], [10, 10], [7, 7, 7], [10]]
[[8, 8], [], [9], [8, 8], [7, 7, 7], [10, 10], [], [], [9, 9], [9, 9], [5, 5, 5, 5], [8, 8], [9, 9], [9, 9], [6, 6, 6], [6, 10], [6, 6, 6], [8], [10, 10], [7, 7, 7], [8, 8], [10, 10], [10, 10], [10, 10], [8, 8], [8, 8]]
[[7, 7], [8, 8], [10, 10], [10, 10], [10, 10], [6], [7, 7], [], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [9, 9], [10], [9, 9], [5, 5, 5, 5], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [9], [8, 8], [8, 8], [8]]
[[8, 8], [8, 8], [8], [], [5, 5, 5, 5], [9, 9], [9], [], [6, 6, 6], [10, 10], [7, 7], [9, 9], [8, 8], [10, 10], [10, 10], [], [10, 10], [6, 6, 6], [9, 9], [], [8, 8], [10], [7, 7], [6, 7, 7], [8, 8], [8, 8], [9, 9], [10, 10]]
[[8, 8], [6, 6, 6], [5, 5, 5], [9, 9], [9, 9], [9, 9], [8, 8], [10], [8, 8], [7, 7], [6, 6, 6], [10], [10], [8, 8], [8], [7, 7], [7, 7], [10], [10], [10], [8, 8], [10], [10], [10], [9, 9], [5, 10], [10], [6, 9], [8, 8]]
[[8, 8], [8, 8], [7, 7], [8, 9], [8, 8], [8, 8], [], [], [7, 10], [10], [], [10], [5, 5, 5], [9, 9], [9, 9], [5, 10], [7, 10], [6, 6, 6], [], [9, 9], [10], [7, 10], [6, 10], [10], [9, 9], [6, 6, 6], [8, 8], [7, 10], [10], [8, 8]]
[[8, 8], [8, 8], [10], [10], [9], [5, 9], [8, 8], [6, 10], [7, 7], [6, 10], [6, 6], [6, 9], [9], [9], [5, 9], [5, 10], [6, 10], [6, 10], [9], [8, 8], [], [10], [10], [9], [8, 8], [7, 7], [10], [5, 10], [7, 7], [8, 9], [8, 8]]
[[8, 8], [8, 8], [8, 9], [6, 9], [8], [9], [5, 10], [10], [9], [9], [10], [5, 5, 5], [10], [8, 9], [10], [10], [8, 8], [8, 8], [10], [6, 6], [7, 10], [7, 7], [6, 6], [9], [], [10], [10], [6, 9], [7, 9], [6, 10], [7, 7], [8, 8]]
[[8, 8], [8, 8], [10], [9], [10], [9], [9], [7, 10], [10], [6, 6], [10], [10], [8, 8], [9], [10], [5, 10], [7, 7], [8, 8], [7, 7], [8, 9], [10], [10], [9], [5, 5, 7], [5, 9], [6, 9], [], [9], [6, 6], [8, 8], [10], [6, 6], [8, 8]]
[[8, 8], [8, 8], [10], [10], [10], [10], [6, 10], [], [8, 8], [5, 9], [9], [9], [5, 6], [7, 7], [], [9], [9], [8, 8], [10], [10], [7, 7], [9], [7, 7], [8, 8], [5, 10], [8, 8], [10], [6, 9], [5, 10], [6, 6], [9], [10], [6, 8], [6, 9]]
[[8, 8], [], [10], [10], [7, 7], [6, 9], [10], [], [8, 8], [7, 7], [10], [5, 5, 5], [7, 7], [9], [10], [9], [8, 8], [10], [6, 6], [8, 8], [8, 8], [10], [9], [6, 9], [9], [5, 10], [9], [8, 8], [9], [6, 9], [10], [10], [10], [6, 6], [8]]
[[8, 8], [], [8], [7, 7], [10], [9], [7, 7], [], [8, 8], [8, 8], [9], [], [8, 8], [6, 10], [10], [10], [6, 6], [10], [10], [10], [8, 8], [], [7, 9], [7, 9], [5, 9], [6, 9], [6, 6], [9], [10], [9], [10], [9], [5, 5, 5], [10], [6, 10], [8, 8]]
[[8], [8], [5, 9], [10], [6, 8], [6, 6], [10], [8], [9], [10], [6, 8], [10], [7, 7], [9], [5, 8], [9], [10], [5, 8], [7, 7], [9], [10], [9], [10], [10], [10], [8], [10], [9], [6, 8], [6, 8], [9], [8], [6, 8], [9], [10], [5, 8], [7, 7]]
[[10], [10], [8], [10], [7, 7], [5, 8], [9], [9], [9], [9], [7, 7], [7, 7], [10], [10], [8], [6, 6], [5, 9], [10], [8], [9], [6, 8], [9], [5, 8], [10], [5, 8], [8], [6, 8], [10], [8], [9], [8], [6, 8], [8], [10], [6, 6], [10], [10], [9]]
[[5, 8], [10], [9], [8], [5, 8], [8], [10], [10], [8], [8], [6, 6], [10], [6, 6], [9], [10], [8], [8], [7, 7], [9], [10], [10], [8], [7, 7], [10], [10], [7, 7], [8], [9], [9], [5, 8], [5, 9], [9], [10], [9], [8], [6, 6], [10], [9], [6, 8]]
[[9], [6, 7], [10], [10], [8], [8], [10], [6, 6], [10], [9], [10], [8], [8], [8], [8], [10], [5, 7], [9], [6, 7], [5, 8], [8], [8], [6, 7], [10], [10], [8], [10], [9], [9], [6, 7], [6, 7], [9], [9], [10], [5, 8], [9], [9], [8], [5, 8], [10]]
[[8], [5, 8], [9], [10], [10], [8], [9], [10], [8], [7], [8], [10], [9], [9], [5, 8], [5, 8], [9], [10], [5, 8], [9], [9], [8], [10], [8], [6, 6], [10], [8], [10], [8], [10], [10], [6, 7], [7], [6, 7], [9], [10], [9], [6, 7], [6, 6], [7], [8]]
[[9], [8], [8], [8], [5, 8], [8], [8], [8], [8], [9], [6, 7], [10], [9], [6, 6], [9], [8], [10], [6, 7], [10], [9], [7], [9], [7], [10], [8], [6, 6], [10], [10], [8], [9], [10], [10], [5, 5], [10], [5, 8], [10], [9], [7], [10], [9], [6, 7], [8]]
[[9], [9], [8], [6], [8], [8], [8], [10], [5, 8], [10], [7], [10], [9], [8], [10], [8], [10], [9], [8], [8], [10], [6, 6], [9], [9], [10], [8], [6, 6], [10], [10], [9], [9], [7], [8], [5, 7], [7], [5, 7], [6, 6], [9], [10], [10], [5, 8], [7], [8]]
[[10], [5, 5], [9], [6, 7], [9], [7], [8], [7], [10], [], [9], [7], [8], [8], [9], [8], [8], [8], [10], [10], [8], [6, 7], [6, 6], [10], [5, 5], [9], [10], [9], [10], [10], [9], [6, 7], [8], [8], [8], [10], [8], [8], [9], [10], [10], [8], [6, 6], [9]]
[[8], [8], [8], [7], [10], [8], [10], [7], [6, 6], [10], [9], [9], [9], [10], [9], [8], [5, 5], [10], [9], [8], [8], [7], [9], [8], [8], [6, 6], [9], [6, 6], [6], [7], [7], [8], [7], [9], [10], [8], [10], [10], [8], [10], [8], [10], [10], [9], [5, 5]]
[[8], [7], [7], [8], [7], [9], [6], [10], [10], [9], [5, 5], [8], [10], [9], [10], [7], [8], [8], [7], [8], [10], [10], [7], [6, 6], [9], [9], [10], [10], [6, 6], [], [6, 6], [8], [8], [5, 5], [10], [8], [10], [9], [9], [10], [8], [9], [8], [8], [9], [8]]
[[8], [10], [8], [5, 6], [9], [10], [5, 7], [10], [6, 6], [10], [5, 5], [10], [9], [9], [], [10], [8], [], [6, 6], [8], [10], [8], [9], [8], [8], [7], [10], [10], [6, 6], [9], [8], [8], [9], [8], [7], [7], [10], [9], [9], [7], [], [9], [10], [8], [8], [8], [7]]
[[8], [8], [8], [8], [8], [10], [5, 7], [10], [9], [10], [8], [10], [8], [10], [7], [7], [8], [9], [], [9], [10], [6, 6], [5, 7], [9], [6], [10], [9], [], [9], [8], [8], [10], [9], [7], [10], [10], [], [9], [6, 6], [], [8], [6, 6], [7], [5, 5], [10], [8], [9], [8]]
[[8], [8], [8], [8], [8], [8], [9], [7], [10], [9], [], [6, 6], [7], [9], [10], [10], [9], [10], [6, 6], [9], [7], [5, 5], [8], [7], [10], [5, 5], [9], [8], [8], [8], [9], [6], [6, 6], [], [10], [9], [], [9], [7], [], [7], [10], [10], [8], [8], [10], [10], [10], [8]]
[[6], [8], [8], [8], [10], [8], [10], [9], [], [7], [5, 5], [10], [7], [8], [9], [9], [9], [6], [9], [10], [7], [5, 5], [8], [10], [], [8], [7], [9], [8], [9], [10], [8], [6], [10], [7], [10], [10], [7], [6], [10], [8], [9], [6], [8], [9], [6], [6], [10], [8], [8]]
-EndAllocation

Instance: [[1], [398], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [265, 177, 133, 106, 89, 76, 66, 60, 53, 49, 45, 41, 38, 36, 33, 32, 30, 28, 26, 25, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [199, 133, 100, 80, 67, 57, 50, 45, 40, 37, 34, 31, 29, 27, 25, 24, 23, 21, 20, 19, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[5, 5, 5, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9]]
[[6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5], [9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8], [8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 9]]
[[5, 5, 5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8], [10, 10]]
[[5, 5, 5], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [8, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 5], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 9], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [7, 7, 7, 7, 7], [10, 10, 10, 10], [7, 8, 8, 8]]
[[8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [8, 9], [10, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [5, 5, 5, 7], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [], [9, 9, 9, 9]]
[[8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [8], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 9], [7], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [5, 5, 5, 8], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [6, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [9, 9, 9], [], [10, 10, 10], [10, 10], [10, 10, 10], [9, 9, 9], [7, 7, 10]]
[[10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5, 5], [], [6, 7, 7, 8], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[7, 7, 8, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5], [], [], [10, 10, 10], [10, 10, 10], [9, 9, 9], [6, 8, 8], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [10, 10, 10]]
[[8, 8, 8], [6, 8, 8], [7, 7, 7, 7], [10, 10], [9, 9, 9], [8, 8, 8], [9, 9, 9], [6, 10, 10], [8, 8, 8], [8, 10, 10], [], [8], [5, 5, 5], [], [6, 6, 6, 6], [10, 10], [7, 10, 10], [7, 10, 10], [9, 9, 9]]
[[8, 8, 8], [], [8, 9, 9], [7, 7, 7], [5, 5, 5], [10, 10], [10, 10], [9, 9], [6, 9, 9], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [10, 10], [9], [9, 9], [6, 6, 6, 6], [7, 7, 7], [6, 10, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [10, 10], [10, 10], [], [], [7, 7, 7], [7, 9, 9], [8], [10, 10], [8, 8, 8], [7, 9, 9], [8, 8, 8], [10, 10], [9, 9], [5, 5, 5, 9], [6, 6], [8, 8, 8], [10, 10], [6, 6, 6, 6], [7, 9, 9]]
[[8, 8, 8], [10, 10], [9, 9], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [8], [8, 8, 8], [7, 7, 7], [10, 10], [5, 5, 5], [9, 9], [10, 10], [], [], [7, 7, 7], [9, 9], [6, 6, 9], [10, 10], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [9, 9], [6, 6, 8], [], [10, 10], [9, 9], [], [8, 8, 8], [8, 8, 8], [10, 10], [9], [5, 5, 5], [10, 10], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [7, 7, 7], [], [9, 9], [8, 8, 8], [10, 10], [10, 10]]
[[8, 8], [8, 8], [9, 9], [9, 9], [], [8, 8], [7, 7, 7], [10, 10], [6, 6, 6], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [9, 9], [10, 10], [6, 6, 6], [10, 10], [10, 10], [8], [9], [5, 5, 5], [8, 8], [7, 7, 7]]
[[8, 8], [6, 6, 6], [8, 8], [10, 10], [], [9, 9], [7, 7, 7], [8, 8], [10, 10], [9, 9], [], [9, 9], [8, 8], [10, 10], [], [10, 10], [8, 8], [8, 9], [6, 6, 6], [5, 5, 5], [9, 9], [8, 8], [10, 10], [7, 7, 7], [10, 10]]
[[8, 8], [9, 9], [9, 9], [8, 8], [7, 7, 7], [10, 10], [], [5, 5, 5], [], [9, 9], [6, 6, 6], [8, 9], [8, 8], [10, 10], [], [10, 10], [6, 6, 6], [8, 8], [10, 10], [7, 7, 7], [8, 8], [], [9, 9], [10, 10], [10, 10], [8, 8]]
[[8, 8], [8, 8], [10, 10], [10, 10], [10, 10], [], [7, 7], [], [10, 10], [8, 8], [8, 8], [10, 10], [9, 9], [6, 6, 6], [9, 9], [9], [9, 9], [5, 5, 5], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [10, 10], [8, 8], [7, 7], [8]]
[[8, 8], [8, 8], [8, 8], [8], [], [9, 9], [9, 9], [], [6, 6, 6], [10, 10], [7, 7], [9, 9], [8, 8], [10, 10], [10, 10], [], [10, 10], [5, 5, 5], [9, 9], [], [8, 8], [7, 7], [10, 10], [7, 7], [9], [8, 8], [6, 6, 6], [10, 10]]
[[8, 8], [6, 6, 6], [10], [9, 9], [9, 9], [10], [9, 9], [10], [8, 8], [7, 7], [6, 6, 6], [10], [10], [8, 8], [10], [7, 7], [7, 7], [10], [8, 8], [10], [8, 8], [8, 9], [10], [10], [9, 9], [5, 5, 5], [10], [10], [8, 8]]
[[8, 8], [8, 8], [7, 7], [8, 8], [8, 8], [8, 8], [], [], [7, 10], [10], [], [10], [5, 10], [10], [9, 9], [5, 10], [7, 10], [6, 6, 6], [9], [9, 9], [7, 10], [10], [9, 9], [5, 10], [9, 9], [6, 6, 6], [8, 10], [7, 10], [], [8, 8]]
[[8, 8], [8, 8], [5, 9], [10], [9], [6, 9], [8, 8], [6, 10], [7, 7], [10], [6, 6], [5, 9], [10], [9], [8, 9], [10], [9], [10], [5, 9], [8, 8], [6, 9], [6, 10], [10], [10], [8, 8], [7, 7], [10], [10], [7, 7], [10], [8, 8]]
[[8, 8], [8, 8], [7, 9], [6, 9], [8, 8], [9], [9], [7, 10], [10], [10], [10], [5, 5, 5], [10], [8, 8], [10], [9], [8, 8], [8, 8], [10], [6, 6], [], [7, 7], [9], [6, 6], [10], [10], [10], [9], [7, 9], [6, 10], [7, 10], [8, 9]]
[[8, 8], [8, 8], [10], [7, 9], [9], [10], [10], [10], [5, 5, 5], [6, 6], [6, 6], [9], [8, 8], [9], [10], [7, 10], [7, 7], [8, 8], [7, 7], [10], [10], [10], [], [9], [10], [9], [9], [9], [6, 10], [8, 8], [8, 9], [6, 10], [8, 8]]
[[7, 7], [8, 8], [10], [10], [10], [10], [10], [8], [8, 8], [5, 5, 5], [9], [9], [6, 6], [7, 7], [10], [9], [9], [8, 8], [10], [10], [7, 7], [9], [10], [8, 8], [6, 9], [10], [6, 9], [9], [10], [6, 6], [10], [9], [8, 8], [8, 8]]
[[8, 8], [9], [10], [9], [7, 9], [10], [10], [9], [10], [8, 8], [10], [5, 5, 5], [7, 7], [9], [10], [9], [10], [8], [10], [8, 8], [8, 8], [10], [10], [9], [9], [10], [], [8, 8], [6, 6], [6, 6], [7, 7], [6, 6], [10], [7, 9], [8, 8]]
[[5, 5, 5], [8, 8], [8, 8], [7, 7], [10], [9], [8], [], [10], [8, 8], [9], [], [10], [6, 10], [10], [], [6, 6], [10], [7, 9], [8, 8], [10], [10], [8, 8], [9], [7, 9], [10], [6, 6], [9], [10], [9], [9], [10], [7, 7], [9], [6, 10], [8, 8]]
[[10], [9], [9], [7, 7], [10], [10], [10], [9], [10], [9], [8], [6, 8], [7, 7], [9], [8], [6, 8], [10], [6, 8], [7, 7], [9], [10], [10], [9], [10], [5, 8], [8], [9], [10], [6, 8], [8], [5, 8], [9], [6, 8], [5, 8], [6, 8], [10], [10]]
[[10], [5, 8], [9], [8], [10], [10], [6, 8], [9], [9], [9], [9], [8], [8], [10], [10], [9], [9], [8], [10], [10], [6, 8], [7, 7], [6, 8], [10], [10], [7, 7], [6, 8], [8], [8], [10], [9], [5, 5], [10], [6, 8], [9], [6, 8], [10], [7, 7]]
[[9], [8], [9], [8], [10], [5, 8], [9], [10], [8], [10], [6, 7], [10], [6, 7], [5, 8], [5, 8], [10], [9], [9], [8], [10], [10], [8], [7, 7], [10], [10], [9], [9], [10], [8], [10], [8], [8], [6, 8], [10], [6, 8], [6, 6], [7, 7], [9], [9]]
[[6, 7], [8], [6, 7], [9], [9], [10], [10], [8], [10], [10], [10], [8], [8], [10], [9], [8], [6, 7], [8], [9], [10], [6, 7], [10], [9], [10], [6, 7], [5, 8], [6, 7], [10], [8], [9], [8], [9], [9], [8], [10], [8], [10], [9], [5, 8], [5, 8]]
[[5, 8], [9], [8], [6, 7], [10], [8], [8], [8], [8], [9], [8], [10], [9], [9], [10], [8], [9], [10], [5, 8], [10], [9], [8], [10], [6, 7], [6, 6], [10], [9], [10], [7], [7], [10], [8], [8], [10], [6, 7], [10], [5, 8], [10], [6, 7], [9], [9]]
[[9], [10], [8], [8], [9], [8], [8], [9], [9], [9], [7], [10], [8], [6, 6], [8], [8], [10], [7], [10], [8], [10], [5, 8], [7], [8], [9], [6, 6], [10], [8], [10], [9], [10], [6, 7], [5, 7], [10], [9], [8], [10], [5, 8], [10], [10], [9], [6, 7]]
[[6, 7], [9], [8], [9], [8], [7], [10], [10], [10], [8], [8], [10], [9], [10], [10], [8], [10], [8], [8], [8], [7], [6, 6], [8], [9], [8], [10], [5, 5], [10], [10], [8], [7], [10], [9], [5, 7], [9], [9], [6, 6], [8], [8], [10], [6, 7], [9], [9]]
[[8], [5, 5], [8], [7], [9], [8], [5, 8], [9], [10], [7], [7], [9], [9], [8], [9], [7], [9], [8], [10], [10], [8], [10], [6, 6], [10], [8], [9], [7], [8], [10], [10], [8], [10], [10], [8], [10], [9], [8], [7], [10], [10], [8], [6, 6], [6, 6], [9]]
[[8], [9], [7], [7], [10], [8], [10], [8], [6, 6], [10], [8], [9], [9], [10], [9], [7], [9], [], [9], [8], [5, 5], [10], [9], [8], [8], [6, 6], [9], [6, 6], [8], [10], [8], [8], [5, 7], [9], [10], [8], [10], [10], [8], [10], [7], [10], [10], [7], [8]]
[[8], [8], [7], [8], [8], [9], [7], [10], [10], [9], [5, 5], [8], [10], [], [10], [5, 7], [8], [8], [], [8], [10], [10], [10], [6, 6], [9], [9], [10], [8], [6, 6], [8], [6, 6], [8], [7], [10], [10], [7], [10], [10], [9], [9], [9], [9], [8], [8], [9], [7]]
[[7], [7], [8], [8], [10], [10], [9], [10], [6, 6], [10], [8], [10], [9], [8], [], [10], [6, 6], [], [5, 5], [8], [10], [9], [9], [5], [8], [10], [9], [7], [6, 6], [9], [8], [8], [9], [7], [8], [10], [10], [9], [8], [7], [8], [9], [10], [8], [8], [10], [7]]
[[5, 7], [8], [7], [8], [8], [10], [10], [9], [9], [6, 6], [8], [10], [8], [10], [8], [7], [], [], [5, 5], [9], [10], [6, 6], [10], [9], [8], [10], [], [], [9], [8], [7], [10], [9], [6, 6], [10], [10], [9], [8], [10], [7], [8], [9], [7], [10], [8], [8], [9], [8]]
[[7], [8], [8], [8], [8], [9], [9], [8], [10], [9], [5], [6, 6], [8], [], [10], [10], [9], [], [6, 6], [8], [10], [5, 5], [7], [7], [10], [], [9], [8], [8], [8], [9], [7], [6, 6], [], [10], [9], [8], [9], [7], [8], [10], [10], [10], [10], [9], [10], [10], [7], [8]]
[[8], [8], [8], [8], [10], [8], [10], [9], [5], [7], [5, 5], [10], [6], [8], [9], [9], [9], [6], [9], [10], [9], [], [8], [], [10], [8], [7], [9], [8], [9], [10], [8], [6], [10], [7], [10], [10], [7], [6], [10], [10], [9], [6], [8], [7], [6], [7], [10], [8], [8]]
-EndAllocation

Instance: [[1], [397], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [265, 177, 133, 106, 89, 76, 66, 60, 53, 49, 45, 41, 38, 36, 33, 32, 30, 28, 26, 25, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 10], Opt: [199, 133, 100, 80, 67, 57, 50, 45, 40, 37, 34, 31, 29, 27, 25, 24, 23, 21, 20, 19, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[2, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9]]
[[2, 5, 5, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9]]
[[2, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 8], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10]]
[[2, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[2, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [], [10, 10, 10, 10, 10, 10]]
[[2, 6, 6, 6, 6, 6, 6, 10, 10], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 10], [9, 9, 9], [9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8], [10]]
[[2, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 10], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10], []]
[[2, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10]]
[[2, 8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [8, 8], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [5, 5, 5, 5], [10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[2, 8, 8], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [], [10, 10, 10, 10], [10, 10, 10, 10], [10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [5, 5, 5, 5, 7, 7], [7, 7, 7, 7, 9], [8, 8, 8, 8, 8]]
[[2, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9, 9], [10, 10, 10], [7, 7, 7, 7, 7], [9, 10, 10], [7, 10, 10, 10], [10], [8, 8, 8, 8], [], [5, 5, 5, 5], [9, 9, 9, 9]]
[[2, 8, 8, 8, 8], [8, 8, 8, 8], [], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [7], [10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [5, 5, 5, 5, 9], [], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[2, 8, 8, 8], [5, 5, 5, 5, 10], [10, 10, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [8, 10, 10], [7, 7, 7, 7], [6, 9, 9, 9], [], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [7, 7]]
[[2, 10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [5, 5, 5, 5], [], [7, 7, 9], [6, 9, 9], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[2, 8, 8, 8], [8, 8, 8], [10, 10, 10], [9, 9, 9], [], [6, 6, 6, 6, 6], [5, 5, 5, 5], [], [7, 7], [10, 10, 10], [10, 10, 10], [9, 9, 9], [6], [8, 8, 8], [7, 7, 7, 7], [8, 8, 8], [9, 9, 9], [10, 10, 10]]
[[2, 8, 8, 8], [8, 8, 8], [7, 7, 7, 7], [10, 10], [9, 9, 9], [8, 8, 8], [9, 9, 9], [6, 10, 10], [8, 8, 8], [10, 10], [], [], [5, 5, 5, 5, 6], [7, 7], [6, 6, 6, 6], [10, 10], [10, 10], [10, 10], [9, 9, 9]]
[[2, 8, 8, 8], [10, 10], [9], [7, 7, 7], [5, 5, 5, 5], [6, 10, 10], [9, 9], [9, 9], [9, 9], [8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [], [10, 10], [9, 9], [6, 6, 6, 6], [7, 7, 7], [6, 10, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [10, 10], [10, 10], [], [], [7, 7, 7], [9, 9], [5, 5, 5, 5], [2, 10, 10], [8, 8, 8], [9, 10], [8, 8, 8], [10, 10], [9, 9], [9, 9], [7, 7, 7], [8, 8, 8], [6, 10], [6, 6, 6, 6], [6, 9, 9]]
[[8, 8, 8], [10, 10], [9, 10], [10, 10], [9, 9], [6, 6, 6, 6], [10, 10], [7, 7, 7], [8, 8, 8], [2, 5, 5, 5, 5], [10, 10], [], [9, 9], [10, 10], [], [], [7, 7, 7], [9, 9], [6, 6, 10], [9, 9], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [6, 6, 9], [5, 5, 5, 5], [], [10, 10], [9, 9], [], [8, 8, 8], [8, 8, 8], [10, 10], [], [10, 10], [9, 9], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6, 6], [7, 7, 7], [2], [10, 10], [8, 8, 8], [10, 10], [9, 9]]
[[2, 8, 8], [8, 8], [9, 9], [9, 9], [], [7, 7, 7], [7, 7, 7], [10, 10], [6, 6, 6], [8, 8], [10, 10], [9, 9], [8, 8], [10, 10], [9], [5, 5, 5, 5], [6, 6, 6], [10, 10], [10, 10], [], [9, 9], [10, 10], [8, 8], [8, 8]]
[[2, 8, 8], [7, 7, 7], [8, 8], [10, 10], [10, 10], [9, 9], [6, 6, 6], [8, 8], [10, 10], [9], [], [9, 9], [8, 8], [10, 10], [], [10, 10], [8, 8], [], [6, 6, 6], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [7, 7, 7], [8, 8]]
[[2, 8, 8], [], [9, 9], [6, 6, 6], [7, 7, 7], [10, 10], [], [], [9, 9], [9, 9], [6, 6, 6], [8, 8], [8, 8], [10, 10], [8, 8], [10, 10], [5, 5, 5, 5], [8, 8], [10, 10], [7, 7, 7], [8, 8], [], [9], [10, 10], [10, 10], [9, 9]]
[[2, 7, 7], [8, 8], [10, 10], [10, 10], [10, 10], [], [7, 7], [], [10, 10], [8, 8], [8, 8], [10, 10], [9], [6, 6, 6], [9, 9], [], [9, 9], [5, 5, 5, 5], [], [6, 6, 6], [9, 9], [7, 7], [8, 8], [10, 10], [8, 8], [9, 9], [8, 8]]
[[2, 8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [], [9], [], [], [6, 6, 6], [10, 10], [7, 7], [9, 9], [8, 8], [10, 10], [10, 10], [], [10, 10], [6, 6, 6], [9, 9], [], [8, 8], [10, 10], [7, 7], [7, 7], [10, 10], [8, 8], [9, 9], [9, 9]]
[[2, 8, 8], [6, 6, 6], [10], [9, 9], [9, 9], [], [8, 8], [10], [8, 8], [7, 7], [6, 6, 6], [10], [10], [8, 8], [5, 5, 5], [7, 7], [7, 7], [10], [10], [10], [8, 8], [10], [10], [10], [9, 9], [5, 10], [8, 10], [9, 9], [8, 9]]
[[2, 8, 8], [8, 8], [7, 7], [9], [8, 8], [8, 8], [7, 7], [], [10], [5, 5, 5], [], [10], [10], [10], [10], [10], [7, 10], [6, 6, 6], [9, 9], [9, 9], [10], [10], [9, 9], [5, 10], [9, 9], [6, 6, 6], [8, 8], [7, 10], [10], [8, 8]]
[[8, 8], [8, 8], [5, 5, 5], [10], [6, 9], [6, 9], [8, 8], [6, 10], [7, 7], [10], [6, 10], [9], [10], [9], [9], [10], [9], [10], [9], [8, 8], [9], [6, 10], [10], [10], [8, 8], [7, 7], [6, 10], [10], [7, 7], [2, 5, 9], [8, 8]]
[[2, 7, 8], [8, 8], [9], [6, 9], [8, 8], [10], [10], [7, 10], [9], [5, 9], [9], [5, 5, 5], [10], [8, 8], [10], [], [8, 8], [8, 8], [10], [6, 6], [9], [7, 7], [10], [6, 9], [9], [10], [10], [10], [7, 9], [6, 10], [7, 8], [6, 10]]
[[2, 10], [8, 8], [9], [7, 9], [10], [10], [10], [9], [5, 5, 5], [6, 6], [10], [9], [8, 8], [6, 9], [10], [7, 10], [5, 7], [8, 8], [7, 7], [8, 9], [10], [10], [], [], [10], [9], [8], [7, 10], [6, 9], [8, 8], [6, 10], [6, 9], [8, 8]]
[[8, 8], [8, 8], [10], [5], [6, 10], [5, 10], [10], [], [8, 8], [5, 9], [9], [9], [6, 6], [7, 7], [], [10], [9], [8, 8], [10], [10], [7, 7], [10], [5, 10], [8, 8], [10], [9], [2, 6, 6], [10], [10], [6, 9], [9], [7, 9], [8, 8], [7, 9]]
[[8, 8], [8, 8], [10], [9], [9], [10], [9], [10], [8, 8], [7, 7], [9], [5, 5, 5], [7, 7], [9], [10], [9], [5, 10], [], [6], [8, 8], [8, 8], [10], [9], [9], [10], [10], [7, 7], [8, 8], [6, 6], [6, 10], [9], [6, 6], [10], [10], [2, 10]]
[[8, 8], [8, 8], [8, 8], [9], [10], [6, 9], [10], [10], [10], [8, 8], [9], [], [7, 7], [6, 10], [10], [], [6, 6], [10], [7, 7], [8, 8], [10], [], [9], [9], [7, 7], [9], [6, 6], [10], [10], [9], [9], [10], [5, 5, 5], [10], [2, 5, 9], [8, 8]]
[[6, 8], [6, 8], [9], [8], [8], [10], [8], [9], [10], [5, 5], [9], [10], [10], [9], [8], [9], [8], [6, 8], [7, 7], [6, 8], [2, 9], [10], [9], [10], [10], [8], [10], [5, 9], [6, 8], [7, 7], [10], [6, 8], [10], [10], [10], [5, 9], [7, 7]]
[[2, 9], [5, 9], [10], [8], [8], [10], [8], [10], [6, 8], [9], [10], [10], [8], [10], [10], [9], [10], [5, 9], [7, 7], [8], [6, 6], [7, 7], [9], [5, 8], [5, 8], [8], [6, 7], [10], [8], [9], [10], [9], [8], [10], [6, 7], [9], [6, 8], [10]]
[[2, 9], [10], [9], [8], [8], [5, 8], [8], [8], [10], [8], [6, 6], [5, 8], [6, 6], [8], [5, 8], [10], [5, 9], [7, 7], [9], [10], [10], [10], [7, 7], [9], [9], [7, 7], [10], [10], [9], [8], [9], [8], [8], [10], [10], [6, 6], [10], [10], [9]]
[[2, 10], [5, 8], [10], [8], [6, 7], [5, 8], [10], [9], [10], [10], [9], [8], [9], [10], [10], [9], [8], [8], [10], [7], [7], [8], [9], [10], [6, 7], [8], [9], [6, 7], [9], [6, 7], [9], [8], [8], [9], [10], [10], [6, 6], [10], [5, 8], [5, 8]]
[[2, 9], [5, 7], [5, 8], [5, 8], [8], [9], [7], [8], [7], [9], [6, 6], [10], [8], [9], [10], [8], [9], [10], [6, 6], [8], [9], [8], [10], [9], [9], [10], [7], [10], [8], [8], [10], [10], [8], [10], [9], [10], [5, 8], [10], [6, 7], [6, 7], [10]]
[[2, 9], [10], [7], [6, 7], [7], [8], [7], [9], [8], [10], [8], [10], [9], [6, 6], [9], [10], [5, 5], [10], [10], [9], [8], [10], [8], [10], [8], [6, 7], [10], [6, 6], [8], [9], [10], [8], [5, 8], [8], [7], [10], [8], [9], [10], [5, 8], [9], [9]]
[[2, 9], [7], [7], [8], [5, 8], [8], [10], [10], [8], [8], [6, 7], [10], [8], [8], [10], [10], [10], [8], [7], [], [10], [6, 6], [9], [9], [5, 8], [10], [5, 5], [10], [10], [8], [9], [10], [7], [9], [8], [9], [6, 6], [9], [10], [8], [9], [6, 7], [9]]
[[2, 8], [5, 5], [9], [7], [8], [8], [10], [8], [10], [9], [], [5, 7], [9], [8], [6, 6], [8], [9], [8], [10], [7], [8], [9], [6, 6], [10], [8], [], [10], [9], [10], [10], [8], [7], [9], [10], [10], [10], [9], [6, 7], [10], [9], [10], [8], [6, 7], [5, 8]]
[[2, 8], [8], [7], [10], [10], [7], [10], [8], [6, 6], [10], [], [], [9], [10], [9], [7], [9], [5, 5], [9], [8], [5, 7], [7], [9], [8], [8], [6, 6], [9], [6, 6], [8], [10], [5, 7], [8], [10], [8], [10], [9], [10], [10], [8], [10], [8], [10], [9], [9], [8]]
[[2, 8], [8], [8], [8], [9], [9], [9], [10], [10], [9], [5, 5], [8], [10], [], [10], [5, 7], [8], [], [5, 7], [8], [10], [10], [], [6, 6], [9], [9], [10], [7], [6, 6], [10], [6, 6], [9], [7], [10], [10], [8], [7], [8], [9], [10], [7], [8], [8], [10], [9], [8]]
[[2, 8], [8], [7], [8], [10], [10], [9], [10], [6, 6], [10], [8], [10], [9], [9], [], [10], [10], [5], [5, 5], [8], [10], [8], [9], [], [8], [7], [9], [9], [6, 6], [9], [8], [8], [9], [7], [8], [10], [10], [6, 6], [9], [7], [8], [], [10], [10], [5, 7], [8], [7]]
[[2, 7], [9], [8], [8], [8], [10], [10], [9], [], [9], [8], [10], [8], [10], [7], [7], [], [6, 6], [5, 5], [9], [10], [6, 6], [8], [9], [5, 5], [10], [], [], [9], [10], [8], [10], [9], [6, 6], [10], [10], [8], [8], [8], [9], [8], [10], [7], [10], [7], [7], [9], [8]]
[[2, 10], [8], [8], [8], [7], [9], [9], [], [10], [9], [], [6, 6], [8], [], [10], [10], [9], [], [6, 6], [8], [10], [5, 5], [7], [7], [10], [], [9], [8], [8], [8], [9], [8], [6, 6], [8], [10], [5, 5], [10], [7], [7], [7], [9], [10], [10], [9], [8], [9], [10], [10], [8]]
[[2, 8], [5, 5], [8], [8], [10], [8], [10], [], [7], [7], [5, 5], [10], [7], [8], [9], [9], [9], [10], [9], [10], [9], [], [8], [], [10], [8], [7], [6], [8], [9], [10], [8], [6], [6], [7], [10], [10], [10], [6], [10], [8], [10], [6], [9], [9], [6], [7], [9], [8], [8]]
-EndAllocation

Instance: [[1], [396], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [264, 176, 132, 106, 88, 76, 66, 58, 53, 48, 44, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [198, 132, 99, 80, 66, 57, 50, 44, 40, 36, 33, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[1, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]]
[[1, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [], [9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 10, 10, 10, 10], [5, 5, 5, 5], [10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 8, 8]]
[[1, 6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 10, 10, 10, 10, 10], []]
[[1, 6, 6, 6, 6, 6, 6, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5], [9, 9], [10, 10, 10, 10, 10, 10]]
[[1, 7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8, 8], [5, 5, 5, 5], [10, 10, 10, 10, 10], [10, 10, 10, 10, 10], [9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9], [10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[1, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10], [7, 7, 7, 7, 7, 7]]
[[1], [9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5], [10, 10, 10, 10]]
[[1, 8, 8, 8, 8, 8], [9], [8, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6, 8], [10, 10, 10, 10], [5, 5, 5, 5], [10, 10, 10, 10], [], [9, 9, 9, 9]]
[[1, 10, 10, 10, 10], [9, 9, 9, 9], [8, 8], [7], [8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [5, 5, 5, 5, 9], [8, 8, 8, 8, 8], [7, 7, 7, 7, 7]]
[[1, 9, 9, 9, 9], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], [7, 10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 9], [8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [], [8, 8, 8, 8], []]
[[1, 7, 7, 7, 7, 7], [], [5, 5, 5, 5], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [10, 10, 10], [10, 10, 10], [9, 9, 9, 9], [9, 9, 9, 9], [8, 8, 8, 8], [9], [6, 6, 6, 6, 6, 6], [7]]
[[1, 10, 10, 10], [7, 7, 7, 7], [], [6], [5, 5, 5, 5], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [10, 10, 10], [7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [9, 9, 9], [10, 10, 10]]
[[1, 10, 10, 10], [], [9, 9, 9], [6, 6, 6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [], [7, 7, 7, 7], [], [6, 7, 7], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5], [8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9]]
[[1, 8, 8, 8], [8, 10, 10], [8, 10, 10], [9, 9, 9], [6, 6], [], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10], [10, 10], [8, 8, 8], [10, 10], [8, 8, 8], [7, 7, 8], [9, 9, 9], [7, 7, 7, 7], [9, 9, 9], [10, 10]]
[[1, 8, 8, 8], [5, 5, 5, 5, 7], [7, 7, 7, 7], [], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [6, 10, 10], [8, 8, 8], [7, 10, 10], [], [], [10, 10], [9, 9, 9], [8, 8, 8], [6, 10, 10], [10, 10], [10, 10], [9, 9, 9]]
[[1, 8, 8, 8], [10, 10], [8, 8, 8], [9, 9], [9], [7, 7, 7], [10, 10], [5, 5, 5, 5], [9, 9], [9, 9], [10, 10], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [6, 6, 7, 7], [7], [6, 6, 6, 6], [10, 10]]
[[1], [8, 8, 8], [9, 10], [7, 7, 7], [6, 6, 10], [8, 8, 8], [10, 10], [9, 9], [7, 7, 7], [10, 10], [9, 9], [9, 9], [9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [], [5, 5, 5, 5], [6, 6, 6, 6], [10, 10]]
[[1, 10, 10], [10, 10], [5], [9], [7, 7, 7], [7, 7, 7], [10, 10], [10, 10], [6, 9, 9], [8, 8, 8], [9, 9], [5, 5, 5], [10, 10], [10, 10], [], [], [6, 6, 6, 6], [8, 8, 8], [9, 9], [6, 9, 9], [8, 8, 8], [8, 8, 8]]
[[8, 8, 8], [9], [6, 6], [9, 9], [9, 9], [9, 9], [], [10, 10], [10, 10], [5, 5, 5, 5], [8, 8, 8], [8, 8, 8], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8, 8], [10, 10], [7, 7, 7], [1, 10, 10], [], [7, 7, 7], [], [9, 9]]
[[1, 8, 8], [6, 6, 6], [8, 8], [8, 8], [8, 8], [8, 8], [8, 8], [9, 9], [], [9, 9], [5, 5, 5, 5], [], [7, 7, 7], [7, 7, 7], [10, 10], [10, 10], [6, 6, 6], [10, 10], [10, 10], [9], [10, 10], [10, 10], [9, 9], [9, 9]]
[[1, 8, 8], [8, 8], [8, 8], [10, 10], [], [9, 9], [7, 7, 7], [8, 8], [5, 5, 5, 5], [7, 7, 7], [], [9, 9], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8], [10, 10], [6, 6, 6], [6, 6, 6], [9], [], [10, 10], [8, 8], [10, 10]]
[[1, 8, 8], [6, 6, 6], [8, 8], [8, 8], [9, 9], [10, 10], [], [], [], [9], [5, 5, 5, 5], [6, 6, 6], [10, 10], [10, 10], [9, 9], [], [7, 7, 7], [8, 8], [10, 10], [7, 7, 7], [8, 8], [8, 8], [9, 9], [10, 10], [10, 10], [9, 9]]
[[1, 7, 10], [8, 8], [8, 8], [6, 6, 6], [8, 8], [8, 8], [7, 7], [], [10, 10], [9], [9, 9], [], [], [6, 6, 6], [9, 9], [10, 10], [8, 8], [5, 5, 5, 5], [10, 10], [], [7, 7], [8, 8], [9, 9], [9, 9], [7, 10], [10, 10], [10, 10]]
[[1, 9], [7, 7], [8, 8], [8, 8], [7, 7], [8, 8], [6, 6, 6], [], [8, 8], [], [], [10, 10], [], [10, 10], [6, 6, 6], [10, 10], [10, 10], [5, 5, 5, 5], [9, 9], [], [10, 10], [9, 9], [8, 8], [8, 8], [9, 9], [9, 9], [7, 7], [10, 10]]
[[1, 10], [8, 8], [8, 8], [9, 9], [], [8, 8], [10], [6, 6, 6], [9, 9], [10], [5, 5, 5], [7, 7], [7, 7], [10], [5, 10], [8, 8], [9, 9], [10], [10], [6, 6, 6], [8, 8], [8, 10], [9, 9], [10], [8, 10], [7, 7], [10], [9], [10]]
[[1, 8, 8], [8, 8], [8, 8], [9, 9], [9], [9, 9], [6, 10], [6, 10], [10], [10], [8, 8], [], [10], [10], [9, 9], [10], [10], [6, 6, 6], [], [10], [6, 10], [10], [8, 8], [5, 10], [7, 7], [5, 5, 5], [7, 7], [9, 9], [7, 7], [8, 8]]
[[1, 5, 10], [7, 7], [10], [8, 8], [8, 8], [9], [9], [9], [8, 8], [9], [6, 9], [6, 9], [5, 10], [10], [10], [10], [10], [8, 8], [8, 8], [7, 7], [10], [7, 7], [6, 10], [6, 10], [9], [5, 10], [], [8, 8], [5, 10], [6, 9], [6, 9]]
[[1, 7, 7], [8, 9], [8, 8], [10], [7, 10], [9], [10], [10], [6, 6], [10], [6, 9], [8, 8], [10], [9], [10], [8, 8], [7, 7], [10], [5, 5, 5], [8, 8], [8, 9], [5, 9], [7, 9], [10], [10], [10], [6, 10], [], [9], [9], [8, 8], [6, 6]]
[[1, 5, 9], [8, 8], [5, 10], [8, 8], [8, 8], [9], [9], [10], [], [9], [8, 8], [7, 7], [6, 6], [6, 10], [5, 9], [6, 10], [10], [8, 8], [7, 7], [9], [10], [8, 8], [10], [10], [10], [9], [5, 10], [9], [9], [10], [6, 6], [7, 7], [10]]
[[1, 10], [9], [10], [8, 8], [9], [8, 8], [10], [6, 6], [10], [5, 9], [8, 8], [10], [6, 6], [9], [6, 10], [10], [10], [7, 7], [10], [10], [6, 9], [9], [9], [9], [], [9], [7, 7], [8, 8], [10], [7, 7], [10], [5, 5, 5], [8, 8], [8, 8]]
[[8, 8], [8, 8], [10], [9], [9], [9], [10], [], [6, 6], [8, 8], [10], [5, 5, 5], [7, 7], [10], [10], [10], [10], [10], [10], [5, 9], [8, 8], [10], [8, 8], [10], [6, 6], [8, 8], [6, 6], [9], [7, 7], [7, 7], [10], [9], [9], [9], [1, 9]]
[[1, 10], [6, 8], [9], [5, 9], [7, 7], [10], [8], [10], [10], [10], [5, 8], [8], [6, 8], [10], [10], [10], [7, 7], [9], [5, 9], [9], [10], [10], [8], [9], [8], [10], [6, 8], [9], [5, 8], [10], [6, 8], [9], [6, 8], [9], [7, 7], [6, 8]]
[[1, 10], [5, 8], [9], [10], [6, 8], [9], [7, 7], [10], [9], [10], [8], [7, 7], [10], [10], [8], [6, 8], [5, 8], [6, 6], [10], [9], [6, 8], [10], [10], [7, 7], [10], [8], [8], [9], [8], [5, 9], [10], [8], [9], [6, 8], [9], [10], [5, 9]]
[[1, 5, 8], [9], [10], [10], [8], [9], [8], [8], [6, 6], [10], [7, 7], [6, 8], [8], [10], [7, 7], [8], [6, 8], [8], [9], [10], [10], [10], [10], [10], [7, 7], [9], [6, 8], [8], [9], [10], [5, 9], [10], [10], [5, 8], [9], [9], [9], [5, 6]]
[[1, 6, 6], [8], [5, 8], [7, 7], [10], [5, 5], [10], [10], [8], [8], [6, 6], [10], [9], [8], [6, 8], [10], [8], [9], [10], [9], [8], [10], [7, 7], [8], [10], [9], [10], [10], [9], [9], [10], [8], [7, 7], [10], [8], [5, 9], [6, 8], [9], [9]]
[[1, 8], [10], [10], [5, 8], [9], [9], [8], [8], [10], [10], [8], [8], [10], [5, 8], [9], [6, 7], [10], [9], [9], [8], [6, 7], [9], [6, 7], [10], [5, 8], [10], [7], [9], [10], [6, 6], [8], [8], [10], [9], [7], [9], [10], [5, 8], [6, 7], [10]]
[[1, 8], [5, 7], [9], [10], [6, 7], [8], [9], [10], [9], [9], [9], [9], [6, 6], [8], [8], [6, 7], [8], [7], [5, 8], [10], [10], [10], [9], [10], [10], [7], [8], [9], [8], [10], [8], [10], [8], [7], [9], [10], [5, 8], [5, 8], [10], [6, 6], [10]]
[[1, 6, 6], [9], [10], [10], [8], [10], [10], [5, 5], [5, 8], [5, 8], [6, 7], [9], [8], [8], [10], [8], [8], [9], [8], [7], [10], [10], [7], [10], [7], [6, 6], [8], [8], [10], [8], [8], [10], [9], [9], [9], [9], [7], [9], [10], [10], [9], [6, 7]]
[[1, 5, 5], [6, 6], [10], [9], [10], [7], [7], [10], [9], [10], [9], [7], [9], [8], [8], [10], [8], [7], [7], [8], [8], [8], [8], [9], [10], [10], [6, 6], [10], [6, 6], [8], [9], [10], [5, 7], [10], [8], [10], [10], [5, 8], [9], [8], [9], [8], [9]]
[[1, 8], [8], [10], [10], [6, 6], [8], [9], [5, 5], [8], [10], [8], [8], [8], [8], [8], [9], [9], [9], [7], [10], [7], [10], [8], [5, 5], [9], [10], [10], [7], [7], [10], [7], [10], [10], [8], [9], [10], [7], [6, 6], [10], [8], [9], [9], [6, 6], [9]]
[[1, 7], [10], [8], [10], [8], [8], [7], [7], [10], [10], [], [9], [9], [10], [9], [6, 6], [9], [8], [9], [8], [8], [7], [9], [8], [7], [10], [9], [7], [9], [6, 6], [6, 6], [10], [8], [5, 5], [10], [8], [8], [10], [8], [10], [5, 5], [10], [10], [9], [8]]
[[1, 5, 5], [10], [9], [8], [9], [7], [10], [8], [10], [7], [9], [9], [], [9], [8], [], [5, 7], [8], [8], [8], [8], [6, 6], [], [6, 6], [9], [7], [10], [10], [10], [10], [6, 6], [8], [8], [10], [10], [8], [10], [10], [9], [8], [5, 7], [9], [7], [8], [9], [10]]
[[1, 8], [8], [7], [8], [5, 5], [7], [10], [8], [9], [10], [10], [], [9], [8], [10], [8], [5, 5], [], [10], [9], [9], [10], [8], [9], [8], [7], [7], [8], [6, 6], [], [10], [8], [9], [7], [8], [10], [10], [9], [10], [6, 6], [8], [9], [10], [9], [6, 6], [10], [7]]
[[1, 8], [7], [7], [8], [5, 5], [9], [8], [10], [8], [7], [10], [], [9], [10], [8], [7], [10], [10], [5, 5], [9], [6, 6], [6, 6], [9], [9], [], [10], [9], [8], [9], [8], [8], [10], [10], [6, 6], [10], [10], [], [10], [], [7], [8], [9], [8], [7], [8], [8], [9], [10]]
[[1, 8], [7], [8], [6, 6], [6, 6], [8], [8], [5, 7], [], [], [9], [9], [8], [10], [10], [9], [8], [6, 6], [], [7], [8], [8], [], [10], [7], [9], [7], [10], [8], [10], [], [9], [9], [], [10], [10], [10], [9], [8], [9], [5, 5], [10], [10], [9], [5, 7], [8], [10], [10], [8]]
[[1, 7], [9], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [8], [7], [10], [6], [9], [6], [9], [10], [10], [], [9], [], [5, 5], [9], [8], [6], [10], [5, 5], [9], [10], [7], [7], [], [10], [10], [7], [6], [10], [10], [10], [6], [9], [9], [6], [7], [10], [9], [10]]
-EndAllocation

Instance: [[1], [395], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [264, 176, 132, 105, 88, 76, 66, 58, 53, 48, 44, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [198, 132, 99, 79, 66, 57, 50, 44, 40, 36, 33, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 6, 6], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [10]]
[[6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7], [10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 8], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 10, 10, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10, 10, 10, 10, 10]]
[[7, 7, 7, 7, 7, 8, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 10, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 10], [5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9]]
[[7, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [10], [7, 7, 7, 7, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5]]
[[8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7, 7, 10], []]
[[], [7, 7, 7, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9, 9], [10, 10, 10], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 6], [9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6, 6], [9, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7]]
[[5, 5, 5, 5, 6, 6, 8], [7, 9, 9, 9], [8, 8, 9, 9], [], [8, 8, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [5, 8, 8, 8, 10], [7, 7, 7, 7, 8], [9, 9, 9, 9], [8, 8, 8]]
[[6, 8, 8, 8, 8], [6, 10, 10, 10], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10], [9], [8, 8, 8, 8], [9, 9, 9, 9], [], [5, 5, 5, 5, 5]]
[[8, 8, 8, 8], [], [], [8, 8, 8, 8], [6, 6, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10], [10, 10], [8, 8, 8, 8], [5, 5, 5, 5, 5, 10], [9, 9, 9, 9], [9, 10, 10], [10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [5, 5, 5, 5, 5], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 7], [9, 9, 9], [10, 10], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[10, 10, 10], [9, 9, 9], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 10, 10], [], [7], [7, 7, 7, 7], [9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [6], [10, 10, 10], [6, 6, 6, 6, 6], [5, 5, 5, 5, 5], []]
[[8, 10, 10], [7, 7, 7, 7], [8, 10, 10], [8, 9], [8], [6, 6, 6, 8], [5, 5, 5, 5, 5], [8, 10, 10], [8], [6, 7, 9], [8, 10, 10], [9, 9, 9], [6, 6, 6, 6], [8], [8], [8, 9, 10], [9, 9, 9], [8, 10, 10]]
[[8, 8, 8], [8, 8, 8], [7, 7, 7, 7], [9, 9, 9], [6, 6, 6, 6], [8, 8, 8], [9, 9, 10], [10, 10], [8, 8, 8], [10, 10], [], [9], [5, 5, 5, 5, 5], [], [6, 6, 6, 6], [10, 10], [7, 10, 10], [10, 10], [9, 9, 9]]
[[8, 8, 8], [6, 6, 6, 6], [5, 9, 9], [5, 7, 7, 7], [10, 10], [10, 10], [10, 10], [5, 9, 9], [5, 9, 9], [8, 8, 8], [9, 10], [8, 8, 8], [5, 10, 10], [], [], [9, 9], [6, 6, 6, 6], [7, 7], [10, 10], [8, 8, 8]]
[[8, 8, 8], [10, 10], [8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [], [6, 6, 6, 6], [10, 10], [7, 7], [10, 10], [9, 9], [9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [], [8, 8, 8], [9, 9], [6, 6, 6, 6], [9, 10]]
[[8, 8, 8], [10, 10], [5, 9, 9], [10, 10], [8, 8, 8], [6, 6, 6, 6], [10, 10], [], [9, 9], [8, 8, 8], [], [5, 5, 5, 5], [7, 7], [10, 10], [], [10, 10], [7, 7, 7], [9, 9], [9, 10], [6, 6, 6, 6], [9, 9], [8, 8, 8]]
[[8, 8, 8], [5, 5, 5, 5], [5, 8, 8], [6, 6, 6, 6], [6, 6, 6, 6], [8, 8], [10, 10], [8], [9, 9], [10, 10], [10, 10], [7, 7], [9, 9], [9, 9], [8, 8], [10, 10], [7, 7, 7], [9, 10], [], [], [8, 8], [10, 10], [9, 9]]
[[10, 10], [6, 8, 8], [9, 10], [5, 8, 8], [10, 10], [7, 7], [6, 6, 6], [], [5, 5, 5, 5], [8, 8], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6], [], [], [9, 9], [8, 8], [8, 8], [9, 9], [9, 9], [10, 10], [10, 10], [6, 8, 8]]
[[5, 8, 8], [], [8, 8], [6, 6, 6], [10], [9, 9], [7, 7], [10, 10], [9, 9], [6, 6, 6], [], [9, 9], [8, 8], [10, 10], [], [10, 10], [8, 8], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [6, 6, 9], [10, 10], [7, 7, 7], [8, 8]]
[[5, 8, 8], [10, 10], [], [6, 6, 6], [7, 7], [10, 10], [], [], [6, 6, 6], [9, 9], [5, 5, 5, 5], [6, 6, 9], [8, 8], [10, 10], [8, 8], [10, 10], [8, 8], [7, 7, 7], [], [9, 9], [8, 8], [10], [9, 9], [10, 10], [9, 9], [8, 8]]
[[8, 8], [8, 8], [5, 6, 7], [6, 9], [], [10, 10], [8, 8], [7, 7], [9, 9], [6, 6, 6], [7, 7], [8, 8], [10, 10], [9, 9], [9, 9], [], [], [10, 10], [], [6, 6, 6], [9, 9], [10], [8, 8], [10, 10], [8, 8], [5, 5, 5, 5], [10, 10]]
[[8, 8], [8, 8], [8, 8], [5], [6, 6, 6], [5, 5, 5, 5], [10, 10], [9, 9], [7], [], [8, 8], [], [9, 9], [], [6, 6, 6], [10, 10], [10, 10], [9], [9, 9], [6, 6], [8, 8], [10], [7, 7], [7, 7], [10, 10], [8, 8], [9, 9], [10, 10]]
[[8, 10], [6, 6, 6], [5, 9], [5, 8], [8, 10], [8, 10], [10], [8, 10], [10], [7, 7], [7, 7], [9], [8, 9], [8, 9], [9], [9], [7, 10], [8], [9], [6, 6], [8, 9], [8], [10], [9], [6, 6, 6], [5, 5, 5], [8, 10], [8, 10], [10]]
[[5, 5, 8], [7, 8], [7, 9], [8, 8], [8, 8], [8, 8], [8], [6, 6], [7, 7], [10], [], [], [10], [10], [9, 9], [10], [10], [5, 5, 5], [10], [9, 9], [10], [10], [9, 9], [8, 10], [9, 9], [6, 6, 6], [6, 6, 6], [7, 10], [10], [8, 8]]
[[8, 8], [5, 10], [10], [10], [10], [6, 9], [8, 8], [6, 10], [7, 10], [7, 10], [6, 6], [5, 9], [], [9], [7, 9], [10], [6, 6], [], [9], [10], [6, 10], [5, 5, 5], [6, 10], [8, 8], [9], [8, 8], [9], [8, 9], [7, 7], [8, 9], [8, 8]]
[[8, 8], [8, 8], [5, 9], [6, 9], [8, 9], [10], [9], [10], [10], [10], [8, 9], [5, 5, 5], [10], [7, 7], [6, 10], [8, 8], [5, 9], [8, 8], [10], [6, 6], [], [7, 7], [9], [6, 9], [10], [10], [9], [6, 6], [10], [6, 10], [7], [8, 8]]
[[5, 9], [8], [10], [7, 9], [7, 9], [10], [9], [10], [10], [10], [8, 8], [8, 8], [7, 8], [8, 8], [9], [6, 6], [6, 6], [5, 9], [6, 6], [7, 7], [10], [10], [10], [10], [10], [8, 8], [10], [9], [9], [9], [5, 5, 5], [6, 6], [8, 8]]
[[10], [8, 8], [9], [8, 8], [9], [10], [10], [6, 6], [7, 7], [5, 5, 5], [9], [], [6, 6], [7, 7], [7], [9], [9], [8, 8], [10], [8, 8], [10], [10], [10], [8, 8], [10], [10], [6, 9], [9], [9], [6, 9], [6, 10], [5, 5], [8, 8], [6, 10]]
[[8, 8], [5, 5], [8, 8], [7, 9], [8, 8], [8, 8], [9], [8, 8], [10], [10], [9], [], [9], [8, 8], [9], [9], [9], [10], [7, 7], [9], [6, 6], [10], [7, 7], [9], [10], [10], [10], [6, 6], [5, 5, 5], [6, 6], [10], [6, 6], [10], [10], [10]]
[[6, 7], [10], [9], [6, 8], [10], [6, 8], [10], [10], [9], [10], [9], [], [8], [10], [9], [10], [7, 7], [7, 7], [6, 8], [6, 8], [5, 9], [9], [5, 9], [5, 9], [5, 8], [10], [10], [5, 8], [6, 8], [8], [9], [8], [10], [10], [6, 8], [6, 8]]
[[8], [9], [5, 9], [6, 8], [6, 8], [5, 9], [6, 8], [10], [], [7], [7, 7], [10], [6, 8], [9], [7, 7], [9], [6, 8], [8], [5, 9], [9], [9], [10], [8], [10], [10], [6, 8], [6, 8], [10], [6, 8], [10], [9], [8], [10], [10], [5, 5], [10], [10]]
[[10], [6, 8], [5, 8], [6, 8], [6, 8], [7, 7], [5, 8], [9], [8], [8], [9], [8], [10], [9], [8], [9], [10], [9], [7, 7], [9], [6, 8], [7], [10], [10], [10], [5, 5], [6, 6], [10], [9], [8], [10], [9], [9], [10], [6, 6], [10], [5, 8], [10]]
[[5, 5], [10], [7, 7], [8], [5, 7], [9], [6, 8], [10], [7, 7], [6, 6], [10], [10], [6, 8], [5, 5], [9], [6, 8], [10], [8], [8], [8], [10], [9], [10], [8], [9], [10], [9], [10], [9], [8], [10], [8], [9], [9], [9], [6, 6], [10], [6, 8], [8]]
[[5, 8], [5, 8], [5, 8], [10], [6, 6], [5, 7], [6, 7], [10], [5, 8], [10], [8], [10], [9], [9], [10], [8], [9], [9], [10], [9], [8], [10], [6, 6], [10], [8], [9], [9], [8], [9], [10], [8], [6, 7], [9], [8], [10], [6, 7], [6, 7], [10], [8], []]
[[5, 7], [8], [6, 6], [6, 7], [6, 6], [9], [5, 8], [8], [10], [8], [8], [8], [8], [10], [10], [9], [9], [7], [6, 6], [9], [8], [8], [9], [10], [6, 7], [9], [9], [8], [9], [10], [10], [9], [10], [10], [5, 5], [8], [7], [10], [10], [10], [5, 8]]
[[8], [5, 8], [10], [5, 8], [9], [], [9], [5, 7], [9], [10], [9], [10], [8], [10], [6, 7], [6, 7], [8], [8], [9], [8], [6, 6], [10], [10], [8], [10], [6, 6], [10], [9], [6, 7], [8], [10], [9], [8], [8], [10], [], [6], [10], [9], [9], [5, 8], [5, 7]]
[[6, 7], [5, 7], [8], [8], [10], [8], [6, 6], [9], [5], [10], [6, 7], [9], [6, 7], [5, 8], [9], [10], [10], [6, 7], [9], [9], [10], [9], [10], [8], [9], [6], [10], [10], [8], [8], [9], [8], [8], [], [9], [8], [10], [5, 5], [8], [8], [10], [6], [10]]
[[5, 7], [8], [7], [8], [8], [9], [7], [9], [7], [10], [8], [], [6, 6], [9], [10], [8], [9], [8], [10], [10], [9], [8], [8], [5, 5], [9], [10], [5, 5], [10], [9], [10], [10], [8], [10], [8], [8], [10], [6, 6], [6, 6], [10], [8], [9], [9], [6, 6], [7]]
[[7], [7], [8], [9], [10], [9], [6, 6], [8], [8], [9], [8], [9], [10], [7], [10], [10], [8], [10], [8], [10], [5, 7], [6, 6], [], [], [9], [5, 5], [8], [10], [6, 6], [8], [8], [9], [9], [5, 5], [10], [10], [10], [9], [8], [9], [8], [10], [6, 6], [7], [8]]
[[8], [8], [8], [8], [9], [10], [10], [8], [10], [5, 7], [9], [6, 6], [], [9], [10], [5, 5], [5, 5], [8], [], [10], [8], [7], [], [6, 6], [9], [9], [10], [8], [6, 6], [7], [6, 6], [10], [8], [10], [10], [8], [10], [8], [9], [7], [9], [10], [7], [8], [9], [9]]
[[5, 7], [5, 5], [8], [8], [7], [10], [9], [10], [10], [10], [], [10], [9], [9], [10], [8], [6, 6], [], [10], [9], [9], [], [8], [9], [8], [9], [6, 6], [9], [5, 5], [10], [7], [10], [8], [10], [7], [], [10], [8], [8], [6, 6], [8], [7], [9], [8], [6, 6], [8], [8]]
[[5, 7], [8], [7], [8], [8], [10], [10], [9], [9], [9], [10], [8], [9], [10], [8], [7], [5, 5], [6, 6], [6, 6], [], [8], [6, 6], [9], [8], [8], [], [], [10], [], [9], [10], [10], [10], [6, 6], [10], [10], [], [8], [7], [5, 5], [8], [9], [8], [7], [9], [10], [9], [8]]
[[5, 6], [5, 7], [8], [9], [9], [9], [6, 6], [9], [9], [9], [9], [9], [6, 6], [10], [5, 6], [5, 7], [5], [6], [10], [8], [8], [8], [10], [10], [8], [10], [10], [6], [10], [10], [10], [8], [8], [10], [10], [8], [8], [], [7], [7], [8], [], [7], [8], [], [], [], [8], [9]]
[[], [8], [8], [8], [8], [10], [10], [9], [7], [8], [10], [10], [8], [6], [10], [10], [10], [5, 5], [6], [8], [9], [10], [7], [10], [10], [8], [8], [9], [6], [8], [8], [7], [5, 5], [10], [9], [5], [6], [7], [6], [8], [9], [6], [6], [9], [9], [6], [7], [9], [], [9]]
-EndAllocation

Instance: [[1], [394], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [262, 176, 132, 105, 88, 76, 66, 58, 53, 48, 44, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [197, 132, 99, 79, 66, 57, 50, 44, 40, 36, 33, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 6, 9], [5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9]]
[[4, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9], [10]]
[[4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], [], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 9, 10, 10, 10]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9], [9, 10, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10]]
[[4, 7, 7, 7, 7, 7, 7, 9, 9], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8], [], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9]]
[[4, 10, 10, 10, 10, 10], [5, 5, 5, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [5, 5, 9, 9, 9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [10]]
[[4, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7], []]
[[4], [7, 7, 7, 7, 7, 7], [9, 9, 9, 9], [9, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6]]
[[4, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [9, 9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 9], [10, 10, 10], [8, 8, 8, 8, 8], [6, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[4, 5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [9], [7], [10, 10, 10, 10], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [10, 10, 10], [8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 7], [9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[4, 10, 10, 10], [10, 10, 10], [6, 6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [8, 8, 8, 8], [7, 10, 10], [9], [8, 8, 8, 8], [9, 9, 9, 9], [], [5, 5, 5, 5, 5]]
[[4, 8, 8, 8, 8], [], [], [8, 8, 8, 8], [7, 10, 10], [7, 7, 7, 7, 7], [10, 10, 10], [10, 10, 10], [5, 5, 5, 5, 5], [8, 8, 8, 8], [9, 9, 9, 9], [9, 9, 9, 9], [9], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [5, 5, 5, 5, 5], [], [8, 8, 8, 8], [6, 6, 6, 6, 6], [6, 9, 9, 9], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [4, 9, 9, 9], [7], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [7, 10, 10]]
[[10, 10, 10], [7, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [], [], [6, 7, 7], [4, 9, 9, 9], [9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5, 5], [10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[4, 10, 10], [7, 7, 7, 7], [10, 10], [], [], [6, 6, 6, 6], [5, 5, 5, 5, 5], [6, 10, 10], [8, 8, 8], [9, 9, 9], [7, 7, 10], [8, 8, 8], [8, 8, 8], [9, 9, 9], [8, 8, 8], [6, 10, 10], [9, 9, 9], [10, 10]]
[[4, 8, 8, 8], [10, 10], [7, 7, 7, 7], [5, 5, 5, 5, 5], [9, 9, 9], [8, 8, 8], [9, 9, 9], [7, 7, 10], [8, 8, 8], [8, 8, 8], [6], [6], [6, 10, 10], [6], [6], [6, 10, 10], [10, 10], [10, 10], [9, 9, 9]]
[[8, 8, 8], [9, 9], [9, 9], [7, 7, 7], [5, 10, 10], [10, 10], [10, 10], [9, 9], [6, 6, 9], [8, 8, 8], [4, 10, 10], [8, 8, 8], [5, 5, 5, 10], [], [], [9, 9], [10, 10], [5, 7, 7, 7], [6, 6, 6, 6], [8, 8, 8]]
[[8, 8, 8], [5, 9, 9], [8, 8, 8], [4, 10, 10], [], [], [7, 7, 7], [10, 10], [6, 6], [10, 10], [9, 9], [9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [10, 10], [8, 8, 8], [5, 5, 5, 5], [6, 6, 6, 6], [9, 10]]
[[5, 8, 8], [4, 10, 10], [9, 9], [10, 10], [8, 8, 8], [6, 6, 9], [10, 10], [8], [9, 9], [8, 8, 8], [], [5, 5, 5, 5], [7, 7, 7], [10, 10], [], [10], [7, 7, 7], [9, 9], [10, 10], [6, 6, 6, 6], [9, 9], [8, 8, 8]]
[[8, 8, 8], [4, 5, 5, 5, 5], [5, 6, 8], [6, 6, 6, 6], [6, 8, 8], [8], [8, 10], [8], [7, 7, 7], [10, 10], [8], [10, 10], [9, 9], [9, 9], [8], [10, 10], [7, 7, 7], [9, 9], [9], [10, 10], [8], [10, 10], [9, 9]]
[[10, 10], [4, 8, 8], [10, 10], [5, 8, 8], [8, 9], [7, 7, 7], [6, 6, 6], [], [5, 5, 5, 5], [8, 8], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6], [], [], [9, 9], [8, 8], [8, 8], [9, 9], [9, 9], [10, 10], [10, 10], [8, 10]]
[[4, 8, 8], [10, 10], [6, 6, 6], [6, 6, 6], [5], [9, 9], [7, 7, 7], [8, 8], [9, 9], [], [], [9, 9], [8, 8], [10, 10], [9], [10, 10], [8, 8], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [10], [10, 10], [7, 7, 7], [8, 8]]
[[5, 8, 8], [9, 10], [4], [6, 6, 6], [7, 7, 7], [10, 10], [], [], [6, 6, 6], [9, 9], [5, 5, 5, 5], [8, 8], [8, 8], [10, 10], [8, 8], [10, 10], [], [7, 7, 7], [], [9, 9], [8, 8], [10, 10], [9, 9], [10, 10], [9, 9], [8, 8]]
[[4, 8, 8], [8, 8], [5, 7, 7], [9, 9], [], [10], [8, 8], [7, 7], [9, 9], [6, 6, 6], [7, 7], [8, 8], [10, 10], [9, 9], [9, 9], [], [], [10, 10], [], [6, 6, 6], [9], [10, 10], [8, 8], [10, 10], [8, 8], [5, 5, 5, 5], [10, 10]]
[[4, 8, 8], [8, 8], [8, 8], [5], [6, 6, 6], [5, 5, 5, 5], [10], [9, 9], [7, 7], [], [8, 8], [], [9, 9], [], [6, 6, 6], [10, 10], [10, 10], [9, 9], [9, 9], [9], [8, 8], [], [7, 7], [7, 7], [10, 10], [8, 8], [10, 10], [10, 10]]
[[8, 8], [6, 6, 6], [4, 5, 8], [9, 9], [9, 9], [5, 10], [8, 8], [5, 10], [8, 8], [7, 9], [7, 7], [5, 10], [10], [9, 9], [8, 10], [10], [7, 7], [10], [], [6, 6, 6], [8, 8], [9, 9], [], [10], [10], [5], [7, 10], [10], [8, 8]]
[[8, 8], [8, 8], [4, 7, 7], [8], [5, 8], [8], [8], [8, 10], [8, 10], [10], [], [10], [5, 10], [10], [9, 9], [10], [10], [5, 5, 5], [7, 7], [9, 9], [10], [9], [9, 9], [8, 10], [9, 9], [6, 6, 6], [6, 6, 6], [7, 7], [10], [8]]
[[8, 8], [5, 10], [4, 10], [8, 8], [9], [6, 9], [8, 8], [6, 9], [7, 7], [7, 10], [6, 10], [5, 9], [], [9], [7, 9], [10], [6, 6], [10], [9], [10], [6, 9], [5, 5, 5], [9], [8, 8], [10], [8, 8], [10], [10], [7, 7], [10], [8, 8]]
[[6, 8], [7, 10], [5, 10], [5, 8], [8, 9], [8], [8], [8, 9], [8], [10], [], [5, 5, 5], [8, 9], [7, 7], [8, 9], [10], [8, 9], [], [8, 9], [6, 6], [8, 9], [7, 10], [10], [6, 6], [10], [4, 10], [10], [9], [10], [6, 9], [7, 7], [10]]
[[8, 8], [8, 8], [], [7, 9], [7, 9], [9], [9], [10], [10], [10], [], [8, 8], [7, 7], [8, 8], [9], [10], [6, 6], [5, 9], [6, 6], [7, 7], [5, 10], [10], [10], [4, 10], [9], [8, 8], [10], [9], [5, 10], [5, 10], [5, 9], [6, 6], [8, 8]]
[[7, 8], [8, 8], [8, 8], [4, 9], [7, 9], [10], [8], [5, 5], [7, 8], [5, 5, 5], [7, 9], [7, 9], [8, 8], [10], [10], [9], [9], [9], [9], [10], [8, 8], [10], [10], [7, 8], [], [9], [6, 6], [10], [10], [6, 10], [6, 6], [], [6, 10], [10]]
[[4, 8], [5, 8], [8, 8], [10], [8, 8], [8, 8], [], [10], [9], [7, 7], [9], [10], [9], [8, 8], [9], [9], [7, 9], [10], [10], [7, 9], [8, 8], [5, 10], [7, 7], [10], [10], [10], [10], [6, 6], [5], [6, 6], [9], [6, 6], [10], [5, 9], [5]]
[[7, 7], [6, 8], [4, 10], [5, 9], [10], [7, 7], [9], [10], [8], [5, 9], [10], [8], [10], [7, 7], [10], [8], [9], [9], [6, 8], [6, 8], [8], [10], [9], [5, 9], [8], [6, 8], [6, 6], [8], [10], [10], [10], [8], [5, 9], [8], [5, 9], [10]]
[[4, 10], [5, 9], [6, 8], [6, 8], [10], [10], [5, 8], [7, 7], [6, 8], [10], [7, 7], [5, 5], [8], [10], [8], [9], [10], [6, 6], [8], [9], [10], [8], [9], [9], [10], [10], [9], [9], [7, 7], [8], [10], [9], [9], [5, 8], [8], [10], [6, 8]]
[[4, 9], [6, 8], [6, 8], [5, 8], [6, 7], [10], [5, 9], [9], [6, 8], [5, 8], [5, 9], [7, 7], [5, 8], [7], [10], [10], [7], [10], [8], [9], [8], [10], [8], [8], [10], [8], [6, 6], [8], [10], [9], [10], [7], [10], [9], [10], [10], [9], [9]]
[[5, 9], [4, 10], [8], [8], [10], [5, 5], [8], [10], [10], [8], [5, 8], [10], [6, 6], [8], [7, 7], [10], [10], [8], [8], [9], [8], [5, 9], [6, 6], [8], [10], [7, 7], [9], [9], [9], [9], [9], [9], [7, 7], [10], [10], [6, 6], [8], [10], [8]]
[[6, 7], [6, 7], [9], [10], [4, 8], [10], [6, 7], [5, 5], [10], [6, 7], [8], [10], [10], [10], [5, 8], [5, 5], [8], [8], [8], [9], [9], [9], [8], [9], [6, 7], [9], [10], [10], [10], [10], [8], [8], [10], [8], [9], [9], [8], [6, 7], [9], [8]]
[[6, 7], [8], [4, 9], [], [7], [5, 8], [10], [9], [5, 8], [5, 7], [5, 8], [8], [9], [9], [8], [9], [6, 6], [9], [6, 7], [10], [10], [10], [9], [10], [10], [9], [10], [10], [10], [8], [10], [6, 6], [8], [7], [10], [9], [8], [8], [7], [5, 8], [8]]
[[4, 9], [8], [10], [5, 8], [5, 8], [8], [10], [5, 8], [9], [10], [10], [9], [10], [8], [5, 7], [10], [9], [8], [7], [9], [10], [8], [7], [9], [7], [6, 6], [8], [6, 6], [9], [10], [10], [8], [6, 6], [10], [7], [5, 7], [10], [], [8], [9], [8], [9]]
[[10], [4, 8], [8], [7], [7], [10], [10], [10], [8], [6, 6], [10], [10], [9], [9], [10], [7], [10], [6, 7], [9], [9], [9], [6, 7], [9], [8], [8], [9], [8], [9], [8], [9], [10], [10], [7], [8], [6, 6], [5], [10], [5, 5], [8], [8], [5, 5], [8], [8]]
[[4, 8], [5, 6], [10], [9], [10], [8], [9], [6], [10], [10], [9], [10], [10], [10], [6, 6], [7], [10], [10], [7], [9], [6, 6], [10], [10], [9], [7], [7], [5, 5], [9], [9], [7], [9], [8], [8], [8], [9], [8], [8], [5], [8], [8], [8], [8], [5, 7], [8]]
[[5, 7], [4, 7], [8], [9], [8], [9], [6, 6], [9], [8], [9], [8], [9], [10], [10], [10], [10], [8], [8], [8], [10], [7], [6, 6], [], [6, 6], [9], [7], [10], [10], [8], [8], [8], [9], [10], [5, 5], [10], [8], [10], [10], [8], [9], [7], [], [5, 5], [9], [7]]
[[6, 6], [10], [5, 6], [4, 6], [10], [10], [7], [10], [9], [8], [10], [7], [6, 6], [8], [8], [8], [10], [10], [8], [10], [9], [], [8], [7], [8], [9], [9], [9], [10], [9], [5, 7], [8], [9], [8], [9], [8], [], [], [8], [8], [5, 5], [5, 7], [7], [9], [10], [10]]
[[4, 8], [8], [8], [8], [8], [10], [9], [8], [6, 6], [10], [], [10], [9], [9], [], [8], [], [], [10], [9], [9], [7], [8], [9], [5, 5], [9], [6, 6], [9], [5, 5], [10], [5, 7], [10], [7], [10], [7], [10], [10], [8], [9], [6, 6], [8], [8], [10], [10], [7], [8], [7]]
[[4, 8], [9], [9], [9], [8], [10], [8], [9], [9], [9], [5], [9], [9], [10], [], [7], [7], [10], [8], [7], [8], [6, 6], [8], [8], [8], [8], [8], [10], [8], [8], [10], [10], [10], [6, 6], [10], [], [10], [7], [10], [5, 7], [], [], [6, 6], [10], [9], [], [5, 7], [5, 5]]
[[5, 7], [4, 7], [8], [8], [8], [9], [8], [8], [], [10], [], [9], [7], [10], [6, 6], [], [6, 6], [10], [7], [10], [10], [10], [8], [8], [5, 5], [], [9], [6, 6], [8], [7], [9], [10], [5, 5], [], [9], [9], [8], [9], [7], [9], [9], [10], [10], [8], [10], [], [8], [10], [8]]
[[7], [8], [8], [8], [6], [4, 6], [10], [8], [10], [8], [6], [9], [9], [9], [7], [10], [7], [10], [5, 5], [10], [6], [9], [9], [9], [10], [9], [], [9], [8], [10], [7], [8], [10], [10], [5], [8], [10], [10], [8], [6], [7], [6], [8], [7], [8], [5, 5], [8], [9], [], []]
-EndAllocation

Instance: [[1], [393], 50]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]; Results for m' = 2,...,50. UB Alg: [262, 174, 132, 105, 88, 76, 66, 58, 53, 48, 44, 41, 38, 36, 33, 32, 29, 28, 26, 25, 24, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10], Opt: [197, 131, 99, 79, 66, 57, 50, 44, 40, 36, 33, 31, 29, 27, 25, 24, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8]
Allocation for m' = 2,...,50:
-StartAllocation
[[5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9], [10, 10]]
[[3, 9, 9, 9, 9, 9, 9, 9, 10, 10], [7, 7, 7, 7, 7, 7, 10, 10], [10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [8, 8, 8, 8, 8, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 10], [7, 7, 7, 7, 7, 7], [3, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 10, 10, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10, 10, 10, 10, 10]]
[[3, 7, 7, 7, 7, 7, 7, 8], [10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 10, 10, 10], [], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10], [5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9]]
[[3, 8, 8, 8, 10, 10, 10], [5, 5, 5, 5, 5, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9, 9, 9], [9], [7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [10, 10, 10, 10]]
[[3, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6], [9, 9, 10, 10], [10, 10, 10, 10, 10], [5, 5, 5, 5, 5], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [7, 7, 7, 7, 7, 7, 8], []]
[[3], [7, 7, 7, 7, 7, 7], [9, 9], [9, 9, 9, 9, 9], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [8, 10, 10, 10, 10], [5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6]]
[[3, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5], [9, 9, 9], [9, 9, 9, 9], [10, 10, 10, 10], [], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [8, 8, 8], [10, 10, 10, 10], [7, 7, 7, 7, 7, 7]]
[[3, 5, 5, 5, 5, 8, 8], [9, 9, 9, 9], [], [], [10, 10, 10, 10], [10, 10, 10, 10], [7, 7], [6, 6, 6, 6, 6, 6], [10, 10, 10, 10], [8, 8, 8, 8, 8], [5, 7, 7, 7, 7, 8], [9, 9, 9], [8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [7, 10, 10, 10], [8, 8, 8, 8], [8, 10, 10, 10], [], [8, 8, 8, 8], [9, 9, 9], [], [5, 5, 5, 5, 5]]
[[3, 8, 8, 8, 8], [], [7], [8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 7], [9, 9, 9, 9], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 9, 9, 9], [5, 5, 5, 5, 5], [], [10, 10, 10], [6, 6, 6, 6, 6, 6]]
[[8, 8, 8, 8], [5, 5, 5, 5, 5], [6], [8, 8, 8, 8], [6, 6, 6, 6, 6], [9], [8, 8, 8, 8], [10, 10, 10], [7, 7, 8], [3, 9, 9, 9], [10, 10, 10], [10, 10, 10], [], [10, 10, 10], [9, 9, 9], [7, 7, 7, 7]]
[[10, 10, 10], [6, 7, 7, 7], [8, 8, 8, 8], [9, 9, 9], [6, 6, 6, 6, 6], [], [], [7, 7, 7], [8, 9], [3, 9, 9, 9], [8, 8, 8, 8], [5, 5, 5, 5, 5], [10, 10, 10], [10, 10, 10], [8, 8, 8, 8], [10, 10, 10], []]
[[7, 10, 10], [7, 7, 7, 7], [10, 10], [], [10, 10], [6, 6, 6, 6], [5, 5, 5, 5, 5], [7, 8, 8], [6, 6, 8, 8], [9, 9, 9], [3, 10, 10], [9, 9, 9], [8, 8, 8], [8, 8, 8], [8, 8, 8], [10, 10], [9], [10, 10]]
[[8, 8, 8], [9], [7, 7, 7, 7], [5, 5, 5, 5, 5], [6, 6], [8, 8, 8], [8, 10, 10], [7, 10, 10], [8, 8, 8], [3, 8, 8, 8], [10, 10], [], [10, 10], [], [6, 6, 6, 6], [9, 9, 9], [7, 10, 10], [10, 10], [9, 9, 9]]
[[8, 8, 8], [10, 10], [5, 5, 5, 5, 5], [7, 7, 7], [6, 10, 10], [10, 10], [10, 10], [9, 9], [8, 8, 9], [3, 8, 8], [10, 10], [8, 8, 8], [10, 10], [], [], [9, 9], [6, 9, 9], [7, 7, 7], [6, 6, 6, 6], [8, 8, 8]]
[[8, 8, 8], [3, 9, 9], [8, 8, 8], [10, 10], [10, 10], [8], [7, 7, 7], [10, 10], [6, 6], [10, 10], [9], [9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [9, 9], [], [8, 8, 8], [5, 5, 5, 5, 5], [6, 6, 6, 6], [10, 10]]
[[8, 8, 8], [3, 8, 10], [10, 10], [10, 10], [8, 8, 8], [6, 9, 9], [10, 10], [], [6, 9, 9], [8, 8, 8], [5], [5, 5, 5, 5], [7, 7, 7], [10, 10], [], [], [7, 7, 7], [9, 10], [10, 10], [6, 6, 6, 6], [9, 9], [8, 8, 8]]
[[8, 8, 8], [3, 5, 5, 5, 6], [8, 8, 8], [6, 6, 6, 6], [8], [5, 5], [10, 10], [], [7, 7, 7], [10, 10], [], [10, 10], [9], [9, 9], [8, 8, 8], [10, 10], [7, 7, 7], [6, 9, 9], [10, 10], [], [8, 8, 8], [10, 10], [9, 9]]
[[3, 6, 10], [8, 8], [10, 10], [8, 8], [6, 6, 10], [7, 7, 7], [8], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [7, 7, 7], [10, 10], [6, 6, 6], [], [5], [9], [8, 8], [8, 8], [9, 9], [9, 9], [10, 10], [10, 10], [8, 8]]
[[3, 8, 8], [8], [6, 6, 6], [6, 6, 6], [10, 10], [9, 9], [7, 7, 7], [8, 8], [9], [], [], [9, 9], [8, 8], [10, 10], [], [10, 10], [8, 8], [10, 10], [5, 5, 5, 5], [8, 8], [9, 9], [10, 10], [10, 10], [7, 7, 7], [5, 8, 8]]
[[3, 8, 8], [10], [6, 6, 8], [7, 10], [6, 6, 7], [7, 10], [7, 10], [7, 10], [6, 10], [9, 10], [5, 5, 5, 5], [8, 8], [8, 8], [10], [8, 8], [6, 10], [10], [7], [10], [9, 9], [8, 8], [], [9, 9], [10], [9, 9], [5, 8, 8]]
[[3, 8, 8], [8, 8], [7, 10], [7, 8], [5, 10], [10, 10], [8, 8], [7, 7], [9, 9], [6, 6, 6], [7, 7], [8, 8], [10, 10], [9, 9], [9, 9], [], [], [10, 10], [], [6, 6, 6], [9], [], [8, 8], [10, 10], [8, 8], [5, 5, 5, 5], [10, 10]]
[[3, 8, 8], [8, 8], [8, 8], [8], [6, 6, 6], [5, 5, 5, 5], [10, 10], [9, 9], [7, 7], [], [8, 8], [], [5, 9], [], [6, 6, 6], [10, 10], [10, 10], [10, 10], [9, 9], [], [8, 8], [], [7, 7], [7, 7], [10, 10], [8, 8], [9, 9], [10, 10]]
[[8, 8], [8, 10], [3, 10], [9, 9], [9], [10], [8, 8], [10], [8, 8], [7, 7], [7, 7], [5, 5], [8, 10], [9, 9], [8, 10], [10], [7, 7], [10], [], [6, 6, 6], [8, 8], [10], [6, 6, 6], [10], [9, 9], [5, 5, 5], [10], [10], [8, 8]]
[[8, 8], [7, 10], [3, 7, 8], [8, 8], [8, 8], [8, 8], [8], [], [7, 10], [7, 10], [], [], [10], [10], [9], [10], [10], [5, 5, 5], [7, 10], [9, 9], [10], [10], [9, 9], [5, 5], [9, 9], [6, 6, 6], [6, 6, 6], [7, 10], [8, 10], [8, 8]]
[[3, 10], [8, 8], [8, 9], [10], [10], [9], [8, 8], [10], [7, 7], [7, 10], [6, 6], [5, 9], [10], [6, 6], [7, 9], [10], [6, 6], [10], [8, 9], [10], [10], [5, 5, 5], [10], [8, 8], [10], [8, 8], [], [5, 9], [7, 7], [8, 9], [8, 8]]
[[8, 8], [8, 8], [6, 10], [3, 10], [8, 8], [9], [10], [7, 10], [9], [9], [10], [5, 5, 5], [6, 10], [7, 7], [10], [8, 9], [5, 5], [8, 8], [10], [6, 6], [], [7, 7], [9], [6, 6], [9], [9], [10], [10], [8, 8], [10], [7, 10], [8, 8]]
[[3, 9], [8, 8], [8], [7, 9], [7, 9], [10], [10], [10], [6, 10], [9], [10], [8, 8], [7, 7], [8, 8], [9], [5, 10], [], [9], [6, 6], [8, 8], [10], [7, 7], [5, 5, 5], [], [9], [8, 8], [10], [10], [6, 10], [5, 10], [10], [6, 6], [8, 8]]
[[3, 5, 8], [8, 8], [7, 8], [8], [10], [6, 10], [10], [5, 5, 5], [7, 7], [9], [10], [10], [6, 6], [7, 7], [6, 10], [], [9], [8, 8], [9], [8, 8], [10], [10], [5, 10], [8, 8], [10], [10], [], [10], [9], [6, 6], [9], [9], [8, 8], [7, 9]]
[[5, 10], [7, 7], [7], [9], [8, 8], [10], [9], [6, 10], [10], [7, 9], [6, 10], [9], [10], [8, 8], [10], [3, 10], [7, 9], [10], [9], [8, 8], [8, 8], [5, 8], [7, 8], [10], [10], [10], [], [8], [5, 5, 5], [6, 6], [], [6, 6], [], [9], [8, 8]]
[[5, 9], [10], [7, 7], [3, 8], [5, 9], [9], [10], [10], [6, 8], [5, 7], [10], [8], [8], [10], [6, 8], [8], [6, 8], [5, 9], [6, 8], [8], [7, 7], [10], [9], [6, 8], [7], [10], [8], [10], [10], [10], [9], [6, 8], [10], [8], [5, 9], [10]]
[[7, 7], [5, 8], [3, 9], [10], [5, 8], [7, 7], [6, 8], [7, 7], [6, 8], [10], [10], [5, 5], [8], [10], [8], [9], [6, 8], [9], [9], [10], [5, 9], [10], [9], [9], [10], [10], [8], [6, 8], [6, 6], [10], [8], [10], [8], [8], [8], [10], [10]]
[[3, 10], [5, 8], [5, 8], [5, 9], [10], [10], [5, 8], [10], [], [6, 8], [10], [7, 7], [8], [10], [7, 7], [9], [10], [10], [7, 7], [8], [6, 8], [8], [8], [5, 9], [9], [9], [6, 6], [10], [8], [9], [8], [8], [10], [8], [6, 6], [9], [10], [10]]
[[3, 8], [5, 8], [5, 8], [6, 8], [10], [5, 8], [10], [8], [10], [10], [10], [10], [10], [5, 9], [10], [7], [10], [6, 8], [7], [9], [6, 8], [9], [6, 6], [6, 7], [8], [9], [9], [10], [9], [9], [8], [7], [8], [7], [8], [10], [7], [5, 8], [10]]
[[3, 10], [8], [], [8], [5, 8], [9], [8], [10], [8], [8], [10], [10], [10], [10], [9], [6, 7], [10], [5, 8], [8], [5, 8], [6, 6], [5, 8], [5, 7], [7], [10], [9], [8], [6, 7], [9], [9], [8], [10], [10], [6, 7], [8], [6, 7], [9], [10], [10], [9]]
[[8], [5, 8], [5, 8], [10], [5, 8], [5, 8], [9], [5, 8], [8], [8], [6], [10], [9], [9], [10], [], [10], [10], [6, 7], [9], [9], [10], [10], [6, 7], [10], [8], [10], [3, 6], [7], [10], [10], [6, 7], [8], [8], [9], [8], [7], [8], [10], [9], [6, 7]]
[[5, 8], [3, 7], [8], [8], [8], [10], [6, 7], [9], [9], [10], [8], [5, 5], [10], [8], [6, 7], [10], [10], [10], [8], [9], [10], [7], [5, 5], [10], [8], [10], [9], [6, 6], [8], [9], [8], [10], [6, 6], [9], [10], [10], [8], [9], [7], [7], [8], [8]]
[[3, 8], [6], [10], [10], [10], [5, 8], [], [6, 7], [9], [9], [10], [8], [10], [8], [8], [10], [10], [6, 7], [8], [10], [10], [6, 7], [10], [8], [10], [6, 7], [8], [10], [9], [8], [8], [8], [8], [9], [7], [6, 7], [], [5, 5], [8], [9], [9], [9], [5, 5]]
[[8], [7], [5, 7], [10], [3, 8], [9], [8], [9], [8], [10], [8], [6, 6], [8], [], [10], [8], [9], [8], [10], [8], [10], [6, 6], [7], [5, 5], [9], [7], [5, 5], [10], [9], [10], [10], [8], [10], [7], [10], [10], [7], [8], [10], [8], [9], [9], [6, 6], [8]]
[[9], [9], [8], [8], [6, 6], [7], [7], [], [8], [8], [10], [8], [8], [8], [9], [9], [10], [7], [10], [8], [10], [10], [10], [10], [6], [9], [10], [6], [10], [8], [10], [10], [9], [5, 5], [8], [8], [5, 7], [10], [7], [8], [5, 5], [8], [6, 6], [7], [3, 9]]
[[5, 7], [8], [7], [7], [9], [8], [10], [8], [10], [8], [9], [9], [10], [9], [10], [8], [5, 5], [], [], [10], [8], [10], [10], [6, 6], [9], [8], [10], [8], [6, 6], [8], [6, 6], [8], [8], [10], [10], [8], [10], [8], [5, 5], [9], [9], [7], [10], [7], [], [3, 7]]
[[3, 8], [8], [8], [8], [8], [10], [8], [8], [], [10], [], [10], [9], [9], [6, 6], [8], [10], [], [10], [9], [9], [], [8], [9], [7], [10], [6, 6], [9], [5, 5], [10], [5, 7], [10], [5], [10], [7], [8], [10], [8], [8], [6, 6], [7], [7], [10], [9], [10], [8], [5, 7]]
[[6, 6], [7], [5, 7], [5, 7], [8], [10], [10], [9], [9], [9], [8], [9], [8], [9], [10], [10], [9], [8], [5, 5], [10], [10], [8], [7], [7], [], [10], [9], [10], [8], [8], [8], [10], [10], [8], [8], [8], [10], [6, 6], [10], [6, 6], [], [], [5, 7], [8], [], [], [], [3, 8]]
[[8], [8], [10], [8], [8], [8], [8], [8], [], [8], [7], [9], [5, 7], [3], [], [], [6, 6], [10], [7], [10], [10], [10], [8], [8], [5, 5], [], [9], [6, 6], [8], [7], [9], [10], [5, 5], [], [9], [9], [8], [9], [10], [10], [9], [7], [10], [8], [10], [7], [10], [10], [6, 6]]
[[6], [3, 6], [8], [8], [10], [10], [10], [8], [8], [8], [10], [10], [9], [8], [], [10], [8], [5, 5], [9], [10], [10], [8], [6], [8], [10], [7], [7], [9], [5], [10], [9], [7], [5, 5], [9], [7], [6], [10], [9], [8], [8], [], [10], [8], [8], [9], [], [6], [7], [7], [6]]
-EndAllocation

Instance: [[1], [27], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 9, 10]; Results for m' = 2,...,3. UB Alg: [18, 12], Opt: [14, 9]
Allocation for m' = 2,...,3:
-StartAllocation
[[8, 10], [9]]
[[9], [8], [10]]
-EndAllocation

Instance: [[1], [26], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 10]; Results for m' = 2,...,3. UB Alg: [17, 12], Opt: [13, 9]
Allocation for m' = 2,...,3:
-StartAllocation
[[8, 8], [10]]
[[8], [10], [8]]
-EndAllocation

Instance: [[1], [25], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 10]; Results for m' = 2,...,3. UB Alg: [17, 12], Opt: [13, 9]
Allocation for m' = 2,...,3:
-StartAllocation
[[7, 10], [8]]
[[8], [7], [10]]
-EndAllocation

Instance: [[1], [36], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 9, 12]; Results for m' = 2,...,4. UB Alg: [24, 16, 12], Opt: [18, 12, 9]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 12], [7, 8]]
[[7, 8], [12], [9]]
[[8], [7], [9], [12]]
-EndAllocation

Instance: [[1], [35], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 12]; Results for m' = 2,...,4. UB Alg: [24, 16, 12], Opt: [18, 12, 9]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 12], [7, 7]]
[[7, 7], [12], [9]]
[[7], [7], [9], [12]]
-EndAllocation

Instance: [[1], [34], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 8, 11]; Results for m' = 2,...,4. UB Alg: [22, 16, 12], Opt: [17, 12, 9]
Allocation for m' = 2,...,4:
-StartAllocation
[[8, 8], [7, 11]]
[[7, 8], [8], [11]]
[[11], [7], [8], [8]]
-EndAllocation

Instance: [[1], [33], 4]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 10]; Results for m' = 2,...,4. UB Alg: [22, 14, 12], Opt: [17, 11, 9]
Allocation for m' = 2,...,4:
-StartAllocation
[[7, 9], [7, 10]]
[[9], [7, 7], [10]]
[[7], [7], [10], [9]]
-EndAllocation

Instance: [[1], [45], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 9, 10, 11]; Results for m' = 2,...,5. UB Alg: [30, 20, 16, 12], Opt: [23, 15, 12, 9]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 10, 11], [8, 9]]
[[8, 10], [9, 11], [7]]
[[7, 9], [10], [8], [11]]
[[9], [8], [10], [7], [11]]
-EndAllocation

Instance: [[1], [44], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 8, 11, 11]; Results for m' = 2,...,5. UB Alg: [29, 20, 14, 12], Opt: [22, 15, 11, 9]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 7, 8], [11, 11]]
[[7, 11], [7, 11], [8]]
[[7, 7], [11], [8], [11]]
[[7], [7], [8], [11], [11]]
-EndAllocation

Instance: [[1], [43], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 6, 11, 12, 12]; Results for m' = 2,...,5. UB Alg: [29, 20, 14, 12], Opt: [22, 15, 11, 9]
Allocation for m' = 2,...,5:
-StartAllocation
[[2, 6, 11], [12, 12]]
[[2, 12], [6, 11], [12]]
[[12], [11], [2, 12], [6]]
[[11], [12], [12], [2], [6]]
-EndAllocation

Instance: [[1], [42], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 7, 9, 12]; Results for m' = 2,...,5. UB Alg: [28, 18, 14, 12], Opt: [21, 14, 11, 9]
Allocation for m' = 2,...,5:
-StartAllocation
[[9, 12], [7, 7, 7]]
[[7, 9], [12], [7, 7]]
[[7, 7], [9], [7], [12]]
[[9], [12], [7], [7], [7]]
-EndAllocation

Instance: [[1], [41], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 9, 12, 12]; Results for m' = 2,...,5. UB Alg: [28, 18, 14, 12], Opt: [21, 14, 11, 9]
Allocation for m' = 2,...,5:
-StartAllocation
[[9, 12], [8, 12]]
[[8, 9], [12], [12]]
[[8], [12], [12], [9]]
[[9], [12], [], [8], [12]]
-EndAllocation

Instance: [[1], [54], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 9, 11, 11]; Results for m' = 2,...,6. UB Alg: [36, 24, 18, 14, 12], Opt: [27, 18, 14, 11, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[7, 7, 11, 11], [9, 9]]
[[7, 7, 9], [9], [11, 11]]
[[9, 9], [7, 7], [11], [11]]
[[7, 7], [9], [9], [11], [11]]
[[7], [7], [11], [11], [9], [9]]
-EndAllocation

Instance: [[1], [53], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 9, 10, 11]; Results for m' = 2,...,6. UB Alg: [36, 24, 18, 14, 12], Opt: [27, 18, 14, 11, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[7, 7, 10, 11], [9, 9]]
[[7, 7, 9], [9, 10], [11]]
[[7, 10], [9, 9], [11], [7]]
[[7, 7], [10], [9], [9], [11]]
[[7], [7], [10], [11], [9], [9]]
-EndAllocation

Instance: [[1], [52], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 10, 12, 12]; Results for m' = 2,...,6. UB Alg: [34, 24, 17, 14, 12], Opt: [26, 18, 13, 11, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[12, 12], [6, 6, 6, 10]]
[[12], [6, 6, 6], [10, 12]]
[[6, 10], [6, 6], [12], [12]]
[[12], [6], [12], [6, 6], [10]]
[[10], [12], [6, 6], [], [6], [12]]
-EndAllocation

Instance: [[1], [51], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 9, 12, 12]; Results for m' = 2,...,6. UB Alg: [34, 22, 17, 14, 12], Opt: [26, 17, 13, 11, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[6, 6, 6], [9, 12, 12]]
[[12], [6, 6, 9], [6, 12]]
[[12], [6, 6], [6, 9], [12]]
[[9], [6], [12], [12], [6, 6]]
[[12], [], [9], [6, 6], [12], [6]]
-EndAllocation

Instance: [[1], [50], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 11, 11, 12]; Results for m' = 2,...,6. UB Alg: [33, 22, 17, 13, 12], Opt: [25, 17, 13, 10, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 8, 12], [11, 11]]
[[8, 8], [11, 11], [12]]
[[8, 8], [11], [12], [11]]
[[12], [11], [8], [8], [11]]
[[11], [8], [12], [11], [], [8]]
-EndAllocation

Instance: [[1], [49], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 9, 10, 11, 11]; Results for m' = 2,...,6. UB Alg: [33, 22, 17, 13, 12], Opt: [25, 17, 13, 10, 9]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 9, 10], [11, 11]]
[[8, 10], [11], [9, 11]]
[[8, 9], [11], [10], [11]]
[[9], [11], [8], [10], [11]]
[[11], [10], [11], [9], [], [8]]
-EndAllocation

Instance: [[1], [63], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 12, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [42, 28, 21, 17, 14, 12], Opt: [32, 21, 16, 13, 11, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[12, 12], [5, 5, 5, 12, 12]]
[[5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 12], [5, 12], [5, 12]]
[[12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [5, 5], [5], [12]]
[[12], [5, 5], [12], [], [12], [12], [5]]
-EndAllocation

Instance: [[1], [62], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 8, 12, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [41, 28, 21, 17, 14, 12], Opt: [31, 21, 16, 13, 11, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[12, 12], [3, 3, 8, 12, 12]]
[[8], [3, 12, 12], [3, 12, 12]]
[[12], [8, 12], [12], [3, 3, 12]]
[[12], [12], [12], [12], [3, 3, 8]]
[[12], [8], [3, 3], [12], [12], [12]]
[[12], [12], [12], [8], [12], [3, 3], []]
-EndAllocation

Instance: [[1], [61], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 8, 11, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [41, 28, 21, 17, 14, 12], Opt: [31, 21, 16, 13, 11, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[11, 12], [3, 3, 8, 12, 12]]
[[8], [3, 11, 12], [3, 12, 12]]
[[12], [8, 12], [11], [3, 3, 12]]
[[12], [11], [12], [12], [3, 3, 8]]
[[12], [8], [3, 3], [12], [11], [12]]
[[12], [12], [12], [8], [11], [3, 3], []]
-EndAllocation

Instance: [[1], [60], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 9, 11, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [40, 26, 20, 16, 13, 12], Opt: [30, 20, 15, 12, 10, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[11, 12], [2, 2, 9, 12, 12]]
[[12, 12], [9, 11], [2, 2, 12]]
[[9, 11], [12], [12], [2, 2, 12]]
[[9], [2, 2, 11], [12], [12], [12]]
[[12], [9], [12], [11], [2, 2], [12]]
[[12], [], [9], [12], [2, 2], [12], [11]]
-EndAllocation

Instance: [[1], [59], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 7, 12, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [40, 26, 20, 16, 13, 12], Opt: [30, 20, 15, 12, 10, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[12, 12], [2, 2, 7, 12, 12]]
[[12], [12, 12], [2, 2, 7, 12]]
[[12], [7, 12], [12], [2, 2, 12]]
[[12], [2, 2, 12], [12], [12], [7]]
[[12], [12], [7], [12], [2, 2], [12]]
[[7], [12], [], [12], [12], [12], [2, 2]]
-EndAllocation

Instance: [[1], [58], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 6, 12, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [38, 26, 20, 16, 13, 12], Opt: [29, 20, 15, 12, 10, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[12, 12], [2, 2, 6, 12, 12]]
[[12], [12, 12], [2, 2, 6, 12]]
[[12], [12], [6, 12], [2, 2, 12]]
[[12], [2, 2, 12], [6], [12], [12]]
[[12], [12], [12], [12], [2, 2], [6]]
[[12], [], [6], [12], [12], [12], [2, 2]]
-EndAllocation

Instance: [[1], [57], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 6, 11, 12, 12, 12]; Results for m' = 2,...,7. UB Alg: [38, 25, 20, 16, 13, 12], Opt: [29, 19, 15, 12, 10, 9]
Allocation for m' = 2,...,7:
-StartAllocation
[[11, 12], [2, 2, 6, 12, 12]]
[[12], [11, 12], [2, 2, 6, 12]]
[[12], [12], [6, 12], [2, 2, 11]]
[[12], [2, 2, 11], [6], [12], [12]]
[[12], [12], [12], [11], [2, 2], [6]]
[[12], [], [6], [12], [2, 2], [12], [11]]
-EndAllocation

Instance: [[1], [72], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 12, 12, 12, 12]; Results for m' = 2,...,8. UB Alg: [48, 32, 24, 20, 16, 14, 12], Opt: [36, 24, 18, 15, 12, 11, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[12, 12, 12, 12], [6, 6, 6, 6]]
[[6, 6], [6, 12, 12], [6, 12, 12]]
[[], [6, 6, 6, 6], [12, 12], [12, 12]]
[[12], [6, 12], [12], [12], [6, 6, 6]]
[[12], [12], [12], [6, 6], [6, 6], [12]]
[[12], [6, 6], [12], [12], [12], [], [6, 6]]
[[12], [12], [12], [12], [6, 6], [6, 6], [], []]
-EndAllocation

Instance: [[1], [71], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 11, 12, 12, 12]; Results for m' = 2,...,8. UB Alg: [48, 32, 24, 20, 16, 14, 12], Opt: [36, 24, 18, 15, 12, 11, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[11, 12, 12, 12], [6, 6, 6, 6]]
[[6, 6], [6, 11, 12], [6, 12, 12]]
[[], [6, 6, 6, 6], [11, 12], [12, 12]]
[[12], [6, 12], [6], [6, 12], [6, 11]]
[[12], [11], [12], [6, 6], [6, 6], [12]]
[[12], [6, 6], [12], [12], [11], [], [6, 6]]
[[12], [12], [], [12], [6, 6], [6, 6], [11], []]
-EndAllocation

Instance: [[1], [70], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 12, 12, 12, 12, 12]; Results for m' = 2,...,8. UB Alg: [46, 32, 24, 18, 16, 13, 12], Opt: [35, 24, 18, 14, 12, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[3, 3, 4, 12, 12, 12], [12, 12]]
[[12], [4, 12, 12], [3, 3, 12, 12]]
[[], [3, 3, 4, 12], [12, 12], [12, 12]]
[[12], [12], [3, 3, 12], [4, 12], [12]]
[[12], [3, 3], [12], [12], [12], [4, 12]]
[[12], [4], [3, 3], [12], [12], [12], [12]]
[[12], [12], [], [12], [12], [3, 3], [4], [12]]
-EndAllocation

Instance: [[1], [69], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 12, 12, 12, 12, 12]; Results for m' = 2,...,8. UB Alg: [46, 30, 24, 18, 16, 13, 12], Opt: [35, 23, 18, 14, 12, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[3, 3, 3, 12, 12, 12], [12, 12]]
[[12, 12], [12, 12], [3, 3, 3, 12]]
[[], [3, 3, 3, 12], [12, 12], [12, 12]]
[[12], [3, 12], [3, 3, 12], [12], [12]]
[[12], [3, 3, 3], [12], [12], [12], [12]]
[[12], [], [3, 3, 3], [12], [12], [12], [12]]
[[12], [12], [], [12], [12], [3, 3, 3], [12], []]
-EndAllocation

Instance: [[1], [68], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 9, 11, 12, 12]; Results for m' = 2,...,8. UB Alg: [45, 30, 22, 18, 16, 13, 12], Opt: [34, 23, 17, 14, 12, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 6, 6, 9, 11], [12, 12]]
[[6, 6], [6, 9, 11], [6, 12, 12]]
[[6, 6], [6, 11], [9, 12], [6, 12]]
[[12], [6, 6, 6], [11], [12], [6, 9]]
[[11], [6, 6], [12], [12], [6, 9], [6]]
[[], [6, 6], [12], [12], [9], [11], [6, 6]]
[[], [9], [11], [6, 6], [12], [12], [], [6, 6]]
-EndAllocation

Instance: [[1], [67], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 9, 10, 12, 12]; Results for m' = 2,...,8. UB Alg: [45, 30, 22, 18, 16, 13, 12], Opt: [34, 23, 17, 14, 12, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 6, 6, 9, 10], [12, 12]]
[[6, 6], [6, 9, 10], [6, 12, 12]]
[[6], [6, 6, 9], [10, 12], [6, 12]]
[[10], [6, 6, 6], [12], [12], [6, 9]]
[[], [6, 6], [12], [12], [6, 9], [6, 10]]
[[10], [6, 6], [12], [12], [9], [], [6, 6]]
[[], [9], [10], [6, 6], [12], [12], [], [6, 6]]
-EndAllocation

Instance: [[1], [66], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 12, 12, 12]; Results for m' = 2,...,8. UB Alg: [44, 29, 22, 18, 14, 13, 12], Opt: [33, 22, 17, 14, 11, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[6, 6, 6, 6, 6, 12], [12, 12]]
[[6, 6, 6], [12, 12], [6, 6, 12]]
[[12], [6, 12], [6, 6, 6], [6, 12]]
[[12], [6, 6, 6], [12], [6, 6], [12]]
[[6], [12], [6, 6], [12], [12], [6, 6]]
[[12], [], [6, 6], [12], [6], [12], [6, 6]]
[[], [6, 6], [12], [], [12], [6], [12], [6, 6]]
-EndAllocation

Instance: [[1], [65], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 7, 10, 11, 11, 12]; Results for m' = 2,...,8. UB Alg: [44, 29, 22, 17, 14, 13, 12], Opt: [33, 22, 17, 13, 11, 10, 9]
Allocation for m' = 2,...,8:
-StartAllocation
[[7, 7, 7], [10, 11, 11, 12]]
[[7, 7, 10], [11, 11], [7, 12]]
[[11, 11], [7, 7, 7], [12], [10]]
[[11], [11], [7, 7], [7, 10], [12]]
[[7], [12], [11], [11], [7, 7], [10]]
[[7], [10], [7], [11], [11], [7], [12]]
[[11], [], [7], [7], [11], [12], [7], [10]]
-EndAllocation

Instance: [[1], [81], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 7, 9, 9, 9, 9, 9, 12, 12]; Results for m' = 2,...,9. UB Alg: [54, 36, 28, 22, 18, 16, 14, 12], Opt: [41, 27, 21, 17, 14, 12, 11, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 9, 9, 9, 9], [5, 7, 12, 12]]
[[5, 9, 9], [12, 12], [7, 9, 9, 9]]
[[9, 9], [12, 12], [9, 9, 9], [5, 7]]
[[9], [9, 9], [9, 12], [5, 7], [9, 12]]
[[5, 9], [9, 9], [12], [7], [12], [9, 9]]
[[5, 9], [12], [7, 9], [9], [9], [9], [12]]
[[5, 9], [9], [12], [9], [9], [9], [7], [12]]
[[9], [9], [9], [9], [9], [5, 7], [12], [12], []]
-EndAllocation

Instance: [[1], [80], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 12, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12], Opt: [40, 27, 20, 16, 14, 12, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 12], [5, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 12], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5], [12], [12]]
[[12], [12], [5, 5], [], [12], [12], [12], [5, 5]]
[[], [5, 5], [12], [12], [12], [12], [12], [], [5, 5]]
-EndAllocation

Instance: [[1], [79], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 11, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [53, 36, 26, 21, 18, 16, 13, 12], Opt: [40, 27, 20, 16, 14, 12, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 5, 12], [5, 11, 12, 12, 12]]
[[12], [5, 5, 5, 5, 12], [11, 12, 12]]
[[12], [5, 12], [12, 12], [5, 5, 5, 11]]
[[12], [5, 5, 11], [12], [5, 12], [5, 12]]
[[12], [5, 12], [5, 11], [12], [12], [5, 5]]
[[12], [11], [12], [5, 5, 5], [5], [12], [12]]
[[12], [12], [11], [5, 5], [12], [], [12], [5, 5]]
[[], [5, 5], [], [12], [12], [12], [12], [11], [5, 5]]
-EndAllocation

Instance: [[1], [78], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 8, 9, 11, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [52, 34, 26, 21, 17, 16, 13, 12], Opt: [39, 26, 20, 16, 13, 12, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[8, 9, 11], [1, 1, 12, 12, 12, 12]]
[[11, 12], [1, 1, 8, 9, 12], [12, 12]]
[[12], [11, 12], [9, 12], [1, 1, 8, 12]]
[[11], [9, 12], [1, 8, 12], [1, 12], [12]]
[[12], [8, 9], [12], [1, 1, 12], [11], [12]]
[[12], [12], [8], [11], [1, 1, 12], [12], [9]]
[[8], [12], [1, 1], [12], [12], [12], [11], [9]]
[[8], [12], [9], [], [12], [1, 1], [12], [11], [12]]
-EndAllocation

Instance: [[1], [77], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [52, 34, 26, 21, 17, 14, 13, 12], Opt: [39, 26, 20, 16, 13, 11, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 12, 12], [5, 5, 5, 5, 12, 12]]
[[12], [9, 12, 12], [5, 5, 5, 5, 12]]
[[9], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [12], [9, 12]]
[[12], [9], [12], [12], [5, 5, 5], [5, 12]]
[[12], [5, 9], [12], [12], [12], [5, 5], [5]]
[[12], [9], [12], [], [12], [5, 5], [12], [5, 5]]
[[], [9], [12], [5, 5], [], [12], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [76], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 11, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [50, 34, 25, 21, 17, 14, 13, 12], Opt: [38, 26, 19, 16, 13, 11, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 12, 12], [5, 5, 5, 5, 11, 12]]
[[11], [9, 12, 12], [5, 5, 5, 5, 12]]
[[11], [5, 5, 5, 5], [9, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [11], [9, 12]]
[[12], [9], [12], [12], [5, 5, 5], [5, 11]]
[[11], [5, 9], [12], [12], [12], [5, 5], [5]]
[[12], [9], [11], [], [12], [5, 5], [12], [5, 5]]
[[], [9], [12], [5, 5], [], [12], [5, 5], [11], [12]]
-EndAllocation

Instance: [[1], [75], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 10, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [50, 33, 25, 20, 17, 14, 13, 12], Opt: [38, 25, 19, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[9, 10, 12], [5, 5, 5, 5, 12, 12]]
[[12], [9, 12, 12], [5, 5, 5, 5, 10]]
[[10], [5, 5, 5, 5], [9, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [12], [9, 10]]
[[12], [9], [12], [12], [5, 5, 5], [5, 10]]
[[5], [5, 9], [12], [12], [12], [5, 5], [10]]
[[12], [9], [12], [], [12], [5, 5], [10], [5, 5]]
[[10], [9], [12], [5, 5], [], [12], [5, 5], [], [12]]
-EndAllocation

Instance: [[1], [74], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12], Opt: [37, 25, 19, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[6, 12, 12], [5, 5, 5, 5, 12, 12]]
[[12, 12], [12, 12], [5, 5, 5, 5, 6]]
[[6], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [6, 12], [12]]
[[12], [6], [12], [12], [5, 5, 5], [5, 12]]
[[12], [12], [12], [5, 6], [12], [5, 5], [5]]
[[12], [], [12], [5], [12], [5, 6], [12], [5, 5]]
[[], [12], [12], [5, 5], [6], [12], [5, 5], [], [12]]
-EndAllocation

Instance: [[1], [73], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 12, 12, 12, 12]; Results for m' = 2,...,9. UB Alg: [49, 33, 25, 20, 17, 14, 13, 12], Opt: [37, 25, 19, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,9:
-StartAllocation
[[12, 12], [5, 5, 5, 5, 5, 12, 12]]
[[12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [5, 12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [5, 5]]
[[5], [12], [12], [12], [12], [5, 5], [5, 5]]
[[12], [], [12], [5], [12], [5, 5], [12], [5, 5]]
[[], [12], [12], [5, 5], [5], [12], [5, 5], [], [12]]
-EndAllocation

Instance: [[1], [90], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 8, 9, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[8, 11, 12], [1, 1, 9, 12, 12, 12, 12]]
[[8, 12], [11, 12, 12], [1, 1, 9, 12, 12]]
[[12], [1, 1, 11, 12], [12, 12], [8, 9, 12]]
[[12], [1, 1, 8, 12], [12], [11, 12], [9, 12]]
[[9, 11], [12], [1, 1, 12], [12], [8, 12], [12]]
[[12], [11], [12], [8, 9], [12], [12], [1, 1, 12]]
[[12], [11], [12], [9], [1, 1, 12], [8], [12], [12]]
[[12], [1, 1, 9], [12], [12], [12], [11], [12], [8], []]
[[12], [12], [12], [1, 1], [12], [12], [8], [9], [11], []]
-EndAllocation

Instance: [[1], [89], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 8, 9, 10, 12, 12, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13, 12], Opt: [45, 30, 23, 18, 15, 13, 12, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[8, 12, 12], [1, 1, 9, 10, 12, 12, 12]]
[[8, 12], [10, 12, 12], [1, 1, 9, 12, 12]]
[[12], [1, 1, 12, 12], [10, 12], [8, 9, 12]]
[[], [1, 1, 8, 12], [10, 12], [12, 12], [9, 12]]
[[12], [12], [1, 1, 12], [12], [8, 12], [9, 10]]
[[12], [8, 9], [12], [12], [10], [12], [1, 1, 12]]
[[12], [12], [12], [9], [1, 1, 10], [8], [12], [12]]
[[12], [1, 1, 9], [10], [12], [12], [12], [12], [8], []]
[[12], [12], [10], [1, 1], [12], [12], [8], [9], [12], []]
-EndAllocation

Instance: [[1], [88], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 9, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13, 12], Opt: [44, 30, 22, 18, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 3, 12, 12], [3, 9, 11, 11, 12, 12]]
[[12], [12, 12, 12], [3, 3, 3, 9, 11, 11]]
[[12], [9, 12], [3, 12, 12], [3, 3, 11, 11]]
[[11], [11], [3, 3, 3, 9], [12, 12], [12, 12]]
[[11], [3, 3, 12], [12], [9, 11], [3, 12], [12]]
[[11], [3, 12], [9], [11], [3, 12], [12], [3, 12]]
[[11], [9], [12], [12], [11], [12], [12], [3, 3, 3]]
[[11], [], [12], [11], [12], [12], [12], [3, 9], [3, 3]]
[[9], [12], [11], [3, 3, 3], [12], [12], [11], [], [12], []]
-EndAllocation

Instance: [[1], [87], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 9, 10, 10, 11, 12, 12]; Results for m' = 2,...,10. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13, 12], Opt: [44, 29, 22, 18, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 10, 12, 12], [7, 7, 10, 11]]
[[7, 7, 11, 12], [9, 9, 12], [10, 10]]
[[12, 12], [10, 10], [9, 9, 11], [7, 7]]
[[7, 7, 10], [9, 11], [12, 12], [9, 10], []]
[[10, 10], [7, 12], [], [7, 12], [9, 9], [11]]
[[7, 9], [11], [12], [9], [10], [12], [7, 10]]
[[11], [9], [10], [10], [7, 7], [12], [9], [12]]
[[9], [10], [7], [12], [7], [12], [9], [10], [11]]
[[], [9], [10], [12], [11], [9], [7], [10], [7], [12]]
-EndAllocation

Instance: [[1], [86], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 9, 10, 11, 11, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13, 12], Opt: [43, 29, 22, 18, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 3, 12, 12], [3, 9, 10, 11, 11, 12]]
[[11, 12], [10, 12, 12], [3, 3, 3, 9, 11]]
[[12], [9, 10], [3, 12, 12], [3, 3, 11, 11]]
[[], [10, 11], [9, 11], [12, 12], [3, 3, 3, 12]]
[[11], [3, 3, 12], [12], [9, 11], [3, 10], [12]]
[[11], [3, 12], [9], [11], [3, 12], [10], [3, 12]]
[[11], [9], [10], [12], [11], [12], [12], [3, 3, 3]]
[[11], [10], [12], [11], [12], [], [12], [3, 9], [3, 3]]
[[9], [12], [11], [3, 3, 3], [12], [12], [11], [], [10], []]
-EndAllocation

Instance: [[1], [85], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 12, 12, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13, 12], Opt: [43, 29, 22, 17, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[12, 12, 12], [5, 5, 5, 5, 5, 12, 12]]
[[12], [12, 12, 12], [5, 5, 5, 5, 5, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 12]]
[[12], [12], [12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5], [5, 5], [12], [12], [12], [12], [5]]
[[12], [5, 5], [12], [12], [5, 5], [5], [], [12], [12]]
[[12], [], [12], [12], [5, 5], [12], [5, 5], [5], [], [12]]
-EndAllocation

Instance: [[1], [84], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 11, 12, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 5, 5, 11], [5, 12, 12, 12, 12]]
[[5, 5, 5], [5, 5, 11, 12], [12, 12, 12]]
[[12], [11, 12], [5, 5, 5, 5, 5], [12, 12]]
[[12], [5, 12], [5, 5, 12], [5, 5, 11], [12]]
[[11], [5, 5, 5], [5, 12], [12], [12], [5, 12]]
[[12], [12], [12], [5, 11], [12], [5, 5, 5], [5]]
[[12], [5, 5], [5, 5], [5], [11], [12], [12], [12]]
[[11], [12], [12], [5], [], [5, 5], [12], [5, 5], [12]]
[[12], [5, 5], [], [], [5, 5], [12], [11], [5], [12], [12]]
-EndAllocation

Instance: [[1], [83], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 11, 11, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13, 12], Opt: [42, 28, 21, 17, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 11, 11], [5, 5, 5, 5, 12, 12, 12]]
[[5, 5], [5, 5, 5, 11, 11], [12, 12, 12]]
[[12], [11, 11], [5, 5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 12], [11, 11], [5, 5, 5, 5]]
[[11], [5, 5, 5], [5, 12], [12], [12], [5, 11]]
[[12], [12], [12], [5, 11], [], [5, 5, 5], [5, 11]]
[[12], [5, 5], [11], [5], [11], [12], [5, 5], [12]]
[[11], [12], [12], [5], [], [5, 5], [12], [5, 5], [11]]
[[12], [5, 5], [5], [], [5, 5], [12], [11], [11], [], [12]]
-EndAllocation

Instance: [[1], [82], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 10, 11, 12, 12, 12]; Results for m' = 2,...,10. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13, 12], Opt: [41, 28, 21, 17, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,10:
-StartAllocation
[[5, 5, 10, 11], [5, 5, 5, 12, 12, 12]]
[[5, 5, 5], [5, 5, 11, 12], [10, 12, 12]]
[[10], [11, 12], [5, 5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 12], [10, 11], [5, 5, 5, 5]]
[[11], [5, 5, 5], [5, 12], [12], [10], [5, 12]]
[[12], [12], [12], [5, 10], [], [5, 5, 5], [5, 11]]
[[12], [5, 5], [5, 5], [5], [11], [12], [12], [10]]
[[11], [12], [12], [10], [5], [5, 5], [12], [5, 5], []]
[[12], [5, 5], [], [], [5, 5], [12], [11], [5], [10], [12]]
-EndAllocation

Instance: [[1], [99], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 10, 11, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13, 12], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 12, 12], [6, 6, 6, 6, 6, 10, 11, 12]]
[[6, 10], [6, 12, 12, 12], [6, 6, 6, 11, 12]]
[[12], [12, 12], [6, 6, 6, 6, 6], [10, 11, 12]]
[[12], [6, 6, 10], [6, 6, 6], [11, 12], [12, 12]]
[[12], [10, 12], [6, 6, 6], [6, 12], [6, 11], [12]]
[[12], [6, 11], [6, 10], [6, 12], [6, 12], [], [6, 12]]
[[12], [12], [6, 6], [6, 11], [12], [10], [12], [6, 6]]
[[11], [12], [10], [12], [6], [12], [6, 6], [6, 6], [12]]
[[12], [12], [12], [6], [12], [6, 6], [], [6, 6], [11], [10]]
[[], [6, 6], [6], [], [10], [6, 6], [11], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [98], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 8, 12, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 12, 12], [6, 6, 6, 6, 6, 8, 12, 12]]
[[6, 6], [6, 6, 8, 12, 12], [6, 12, 12, 12]]
[[12], [6, 6, 6, 6, 6], [8, 12, 12], [12, 12]]
[[12], [6, 6, 6, 6], [6, 12], [8, 12], [12, 12]]
[[12], [8, 12], [12], [6, 12], [6, 12], [6, 6, 6]]
[[12], [12], [6, 6, 6], [6, 8], [12], [6, 12], [12]]
[[12], [12], [12], [6, 8], [12], [12], [6, 6], [6, 6]]
[[12], [12], [6, 8], [12], [12], [], [6, 6], [12], [6, 6]]
[[12], [12], [12], [12], [], [6], [6, 6], [8], [12], [6, 6]]
[[12], [], [], [6, 6], [12], [6, 6], [6], [12], [12], [12], [8]]
-EndAllocation

Instance: [[1], [97], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 8, 11, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13, 12], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[11, 12, 12], [6, 6, 6, 6, 6, 8, 12, 12]]
[[6, 6], [6, 6, 8, 12, 12], [6, 11, 12, 12]]
[[11], [6, 6, 6, 6, 6], [8, 12, 12], [12, 12]]
[[12], [6, 6, 6, 6], [6, 11], [8, 12], [12, 12]]
[[12], [8, 12], [12], [6, 12], [6, 11], [6, 6, 6]]
[[12], [12], [6, 6, 6], [8], [6, 12], [12], [6, 11]]
[[11], [12], [12], [6, 8], [12], [12], [6, 6], [6, 6]]
[[12], [12], [6, 8], [12], [], [6, 6], [6, 6], [12], [11]]
[[12], [12], [], [12], [11], [6], [6, 6], [8], [12], [6, 6]]
[[12], [], [], [6, 6], [11], [6, 6], [6], [12], [12], [12], [8]]
-EndAllocation

Instance: [[1], [96], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13, 12], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[11, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12]]
[[12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 12]]
[[12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5]]
[[], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 11]]
[[11], [5, 12], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [11], [12], [12], [5, 5]]
[[12], [12], [5, 5], [5], [12], [11], [12], [5, 5], [12]]
[[12], [12], [11], [], [5, 5], [12], [5], [12], [5, 5], [12]]
[[], [11], [5, 5], [12], [5, 5], [5], [], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [95], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13, 12], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12]]
[[12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 12]]
[[12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [10, 12], [5, 5, 5, 5, 5]]
[[5, 12], [5, 12], [12], [5, 5, 10], [5, 12], [12]]
[[12], [5, 12], [12], [5, 12], [10], [5, 5, 5], [12]]
[[10], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5]]
[[5], [12], [10], [5, 5], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [], [5, 5], [10], [5], [12], [5, 5], [12]]
[[], [12], [10], [12], [5, 5], [5, 5], [], [12], [5], [12], [12]]
-EndAllocation

Instance: [[1], [94], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13, 12], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 12, 12], [5, 5, 5, 5, 5, 9, 12, 12]]
[[12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 12]]
[[12, 12], [12, 12], [9, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [9, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [12], [5, 5, 5, 5], [12], [9, 12], [5, 12]]
[[12], [5, 9], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [9], [12], [5, 5]]
[[12], [9], [5, 5], [5], [12], [12], [12], [5, 5], [12]]
[[12], [9], [12], [], [5, 5], [12], [5], [12], [5, 5], [12]]
[[], [12], [5, 5], [12], [9], [5, 5], [], [12], [5], [12], [12]]
-EndAllocation

Instance: [[1], [93], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 9, 11, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13, 12], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[11, 12, 12], [5, 5, 5, 5, 5, 9, 12, 12]]
[[12, 12], [9, 11, 12], [5, 5, 5, 5, 5, 12]]
[[12], [12, 12], [9, 11, 12], [5, 5, 5, 5, 5]]
[[], [11, 12], [9, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [12], [5, 5, 5, 5], [12], [9, 12], [5, 11]]
[[11], [5, 9], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [11], [9], [12], [5, 5]]
[[12], [9], [5, 5], [5], [12], [11], [12], [5, 5], [12]]
[[12], [9], [11], [], [5, 5], [12], [5], [12], [5, 5], [12]]
[[], [11], [5, 5], [12], [9], [5, 5], [], [12], [5], [12], [12]]
-EndAllocation

Instance: [[1], [92], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 7, 12, 12, 12, 12, 12]; Results for m' = 2,...,11. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13, 12], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[7, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12]]
[[12, 12], [7, 12, 12], [5, 5, 5, 5, 5, 12]]
[[12, 12], [12, 12], [7, 12], [5, 5, 5, 5, 5]]
[[], [7, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [12], [5, 5, 5, 5], [12], [7, 12], [5, 12]]
[[12], [5, 12], [7], [5, 12], [12], [5, 5, 5], [12]]
[[12], [7], [12], [5, 5, 5], [12], [12], [12], [5, 5]]
[[], [12], [5, 5], [5, 7], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [], [5, 5], [12], [5], [12], [5, 5], [7]]
[[], [12], [5, 5], [], [5, 5], [5, 7], [], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [91], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 10, 10, 11, 12, 12]; Results for m' = 2,...,11. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13, 12], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,11:
-StartAllocation
[[10, 10, 12], [6, 6, 6, 6, 6, 6, 11, 12]]
[[12, 12], [10, 10, 11], [6, 6, 6, 6, 6, 6]]
[[10], [6, 6, 6, 10], [12, 12], [6, 6, 6, 11]]
[[], [6, 6, 6, 6], [11, 12], [10, 10], [6, 6, 12]]
[[12], [12], [6, 6], [10, 10], [6, 11], [6, 6, 6]]
[[12], [6, 11], [6, 6], [12], [6, 10], [10], [6, 6]]
[[12], [6], [6, 6], [10], [6, 6], [6, 10], [12], [11]]
[[], [12], [12], [11], [10], [10], [6, 6], [6, 6], [6, 6]]
[[12], [6, 6], [10], [12], [10], [], [11], [6, 6], [6, 6], []]
[[12], [11], [12], [], [6, 6], [10], [6, 6], [], [10], [], [6, 6]]
-EndAllocation

Instance: [[1], [108], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 10, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 10, 11, 11, 12, 12]]
[[12], [12, 12, 12, 12], [4, 4, 4, 4, 10, 11, 11]]
[[12], [10, 11, 11], [4, 4, 4, 4, 12], [12, 12, 12]]
[[12], [4, 4, 4, 4, 12], [10, 12], [12, 12], [11, 11]]
[[], [11, 11], [12, 12], [10, 12], [4, 4, 4, 4], [12, 12]]
[[12], [12], [12], [4, 4, 11], [10, 11], [12], [4, 4, 12]]
[[11], [4, 4, 10], [11], [12], [12], [12], [4, 12], [4, 12]]
[[11], [12], [10], [12], [12], [12], [12], [11], [4, 4, 4, 4]]
[[12], [12], [], [12], [11], [11], [12], [4, 4, 4], [12], [4, 10]]
[[11], [12], [12], [4, 4, 4], [11], [12], [4], [10], [12], [12], []]
[[12], [12], [12], [4], [12], [11], [4, 4, 4], [12], [10], [], [], [11]]
-EndAllocation

Instance: [[1], [107], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 7, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [4, 4, 4, 4, 7, 12, 12]]
[[12], [7, 12, 12], [4, 4, 4, 4, 12], [12, 12, 12]]
[[12], [4, 4, 4, 4, 12], [7, 12], [12, 12], [12, 12]]
[[], [7, 12], [12, 12], [12, 12], [4, 4, 4, 4], [12, 12]]
[[12], [12], [7, 12], [4, 4, 12], [12], [12], [4, 4, 12]]
[[12], [12], [12], [12], [4, 4, 7], [12], [4, 12], [4, 12]]
[[12], [12], [12], [12], [7], [12], [12], [12], [4, 4, 4, 4]]
[[12], [12], [12], [7], [12], [12], [12], [4, 4, 4], [12], [4]]
[[12], [12], [12], [4, 4, 4], [12], [], [4, 7], [12], [12], [12], []]
[[12], [12], [12], [4], [12], [12], [4, 4, 4], [7], [12], [], [], [12]]
-EndAllocation

Instance: [[1], [106], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13, 12], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 6, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [4, 4, 4, 4, 6, 12, 12]]
[[], [12, 12, 12], [4, 4, 4, 4, 6, 12], [12, 12, 12]]
[[12], [4, 4, 4, 4, 12], [6, 12], [12, 12], [12, 12]]
[[], [12, 12], [6, 12], [12, 12], [4, 4, 4, 4], [12, 12]]
[[12], [12], [12], [4, 4, 12], [12], [6, 12], [4, 4, 12]]
[[12], [12], [12], [6, 12], [12], [4, 4, 4, 4], [12], [12]]
[[12], [6], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4]]
[[12], [12], [12], [12], [12], [6], [12], [4, 4, 4], [12], [4]]
[[12], [12], [12], [4, 4, 4], [12], [], [4], [12], [12], [12], [6]]
[[12], [12], [], [4], [12], [12], [4, 4, 4], [12], [12], [], [6], [12]]
-EndAllocation

Instance: [[1], [105], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 5, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13, 12], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 5, 12, 12, 12, 12]]
[[12, 12], [4, 4, 12, 12, 12], [4, 4, 5, 12, 12]]
[[12], [12, 12, 12], [4, 4, 4, 4, 12], [5, 12, 12]]
[[12], [4, 4, 4, 4, 12], [5, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [5, 12], [4, 4, 4, 4], [12, 12]]
[[12], [12], [5, 12], [4, 4, 12], [12], [12], [4, 4, 12]]
[[12], [12], [5, 12], [12], [12], [4, 4, 4, 4], [12], [12]]
[[12], [], [12], [12], [4, 12], [4, 12], [12], [12], [4, 4, 5]]
[[12], [12], [], [12], [12], [12], [12], [4, 4, 4], [12], [4, 5]]
[[12], [12], [12], [4, 4, 4], [12], [], [4, 5], [12], [12], [12], []]
[[12], [12], [], [4], [12], [12], [4, 4, 4], [12], [12], [5], [], [12]]
-EndAllocation

Instance: [[1], [104], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 12, 12], [4, 4, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 12, 12]]
[[12], [4, 4, 12, 12], [4, 4, 12, 12], [4, 12, 12]]
[[12], [12, 12], [12, 12], [4, 4, 4, 4, 4], [12, 12]]
[[], [4, 4, 4, 4, 4], [12], [12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 12], [12], [4, 4, 12], [12], [12], [4, 12]]
[[12], [12], [12], [12], [4, 4, 4, 4], [12], [4, 12], [12]]
[[12], [12], [4, 12], [12], [12], [4, 4, 4, 4], [], [12], [12]]
[[12], [12], [12], [], [4, 4, 4], [12], [12], [12], [12], [4, 4]]
[[12], [], [4, 4], [], [12], [12], [12], [12], [12], [12], [4, 4, 4]]
[[12], [], [12], [12], [4, 4, 4], [12], [], [4, 4], [12], [12], [], [12]]
-EndAllocation

Instance: [[1], [103], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13, 12], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 4, 12, 12], [4, 4, 11, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 11, 12]]
[[11], [4, 4, 12, 12], [4, 4, 12, 12], [4, 12, 12]]
[[11], [12, 12], [12, 12], [4, 4, 4, 4, 4], [12, 12]]
[[], [4, 4, 4, 4, 4], [12], [12, 12], [11, 12], [12, 12]]
[[11], [4, 4, 12], [12], [4, 4, 12], [12], [12], [4, 12]]
[[12], [12], [12], [12], [4, 4, 4, 4], [11], [4, 12], [12]]
[[12], [], [4, 12], [12], [12], [4, 4, 4, 4], [11], [12], [12]]
[[12], [12], [12], [], [4, 4, 4], [11], [12], [12], [12], [4, 4]]
[[12], [], [4, 4], [], [12], [12], [12], [11], [12], [12], [4, 4, 4]]
[[12], [], [12], [12], [4, 4, 4], [12], [], [4, 4], [12], [], [11], [12]]
-EndAllocation

Instance: [[1], [102], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 10, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 4, 10, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 12, 12], [10, 12, 12]]
[[12], [4, 4, 4, 4, 4, 12], [10, 12, 12], [12, 12]]
[[12], [12, 12], [4, 4, 4, 4, 4], [12, 12], [10, 12]]
[[12], [4, 4, 12], [4, 12], [10, 12], [12], [4, 4, 12]]
[[12], [4, 4, 12], [12], [10], [4, 4, 12], [12], [4, 12]]
[[12], [10], [12], [12], [4, 12], [12], [4, 4, 4, 4], [12]]
[[12], [], [12], [12], [12], [4, 10], [12], [12], [4, 4, 4, 4]]
[[12], [12], [4, 4], [12], [12], [10], [4, 4, 4], [], [12], [12]]
[[], [12], [12], [12], [], [12], [10], [12], [12], [4, 4], [4, 4, 4]]
[[12], [12], [12], [], [10], [12], [12], [4, 4], [], [], [4, 4, 4], [12]]
-EndAllocation

Instance: [[1], [101], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 10, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13, 12], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 4, 10, 11, 12, 12]]
[[12], [4, 4, 4, 4, 4, 12, 12], [10, 11, 12, 12]]
[[12], [4, 4, 4, 4, 4, 11], [10, 12, 12], [12, 12]]
[[], [12, 12], [4, 4, 4, 4, 11], [12, 12], [4, 10, 12]]
[[12], [4, 4, 12], [4, 11], [10, 12], [12], [4, 4, 12]]
[[12], [4, 4, 12], [11], [12], [4, 4, 12], [10], [4, 12]]
[[11], [10], [12], [12], [4, 12], [12], [4, 4, 4, 4], [12]]
[[12], [], [12], [12], [12], [4, 10], [11], [12], [4, 4, 4, 4]]
[[12], [12], [4, 4], [12], [], [10], [4, 4, 4], [11], [12], [12]]
[[11], [12], [12], [], [], [12], [10], [12], [12], [4, 4], [4, 4, 4]]
[[11], [12], [12], [], [10], [12], [12], [4, 4], [], [], [4, 4, 4], [12]]
-EndAllocation

Instance: [[1], [100], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,12. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13, 13, 12], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10, 10, 9]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12], [4, 4, 4, 4, 4, 8, 12, 12, 12]]
[[12], [4, 4, 12, 12, 12], [4, 4, 4, 8, 12, 12]]
[[12], [12, 12], [8, 12, 12], [4, 4, 4, 4, 4, 12]]
[[12], [12, 12], [4, 4, 4, 4, 4], [12, 12], [8, 12]]
[[12], [8, 12], [4, 4, 12], [4, 12], [4, 4, 12], [12]]
[[12], [8, 12], [12], [12], [4, 4, 4, 4, 4], [12], [12]]
[[12], [4, 12], [12], [12], [4, 4, 4, 4], [12], [8], [12]]
[[], [4, 4], [12], [8], [4, 12], [12], [4, 12], [4, 12], [12]]
[[12], [12], [12], [4, 4], [4, 4, 4], [], [8], [12], [12], [12]]
[[12], [], [12], [], [12], [8], [4, 4], [4, 4, 4], [12], [12], [12]]
[[], [12], [8], [12], [4, 4, 4], [12], [], [12], [], [12], [12], [4, 4]]
-EndAllocation

Instance: [[1], [117], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 10, 10, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13, 12], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 10, 10], [5, 12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 10, 10], [12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [10, 10, 12]]
[[], [5, 12, 12], [5, 12, 12], [5, 5, 10, 10], [5, 12, 12]]
[[], [12, 12], [10, 10], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 12], [5, 5, 12], [12], [10, 10], [5, 12], [12]]
[[12], [5, 12], [12], [10, 10], [5, 5, 5, 5], [12], [12], [12]]
[[12], [5, 12], [12], [10], [12], [12], [12], [5, 10], [5, 5, 5]]
[[12], [12], [12], [10], [5, 5, 5], [10], [12], [12], [12], [5, 5]]
[[12], [5], [12], [12], [10], [12], [12], [12], [5, 5], [5, 5], [10]]
[[12], [12], [5, 5], [5], [10], [12], [], [10], [12], [5, 5], [12], [12]]
[[], [12], [12], [10], [5, 5], [5], [12], [], [10], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [116], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 7, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13, 12], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 7, 12], [5, 12, 12, 12, 12, 12, 12]]
[[7, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [7, 12, 12]]
[[12], [7, 12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [7, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 12], [5, 5, 12], [12], [7, 12], [5, 12], [12]]
[[12], [7, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 12]]
[[12], [12], [5, 5, 7], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [7], [5, 5, 5], [12], [12], [12], [12], [5, 5]]
[[12], [5], [7], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [5, 7], [], [5, 5], [12], [], [12], [12], [5, 5], [12], [12]]
[[], [12], [12], [5, 5], [5, 5], [12], [7], [12], [5], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [115], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13, 12], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 6, 12], [5, 12, 12, 12, 12, 12, 12]]
[[6, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12]]
[[6], [5, 5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [6, 12, 12]]
[[], [12, 12], [6, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 12], [6, 12], [5, 12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [6, 12], [12]]
[[12], [5, 12], [5, 12], [12], [6], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 5], [6], [12], [12], [12], [5, 5]]
[[12], [5, 6], [12], [], [12], [12], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [5], [], [5, 5], [12], [12], [6], [12], [5, 5], [12], [12]]
[[], [12], [12], [5, 5], [5, 5], [12], [12], [6], [5], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [114], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5]]
[[12], [5, 5], [12], [], [12], [12], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [5, 5], [], [5, 5], [12], [], [12], [12], [5, 5], [12], [12]]
[[], [12], [12], [5, 5], [5, 5], [12], [12], [], [5, 5], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [113], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13, 12], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 12, 12]]
[[12], [12, 12], [11, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5]]
[[12], [5, 5, 11], [5, 5, 12], [12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [12], [12], [5, 5, 5, 5], [11], [12], [5, 12]]
[[12], [11], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [], [12], [12], [5, 11], [12], [5, 5], [12], [12], [5, 5, 5]]
[[12], [5, 5], [12], [], [12], [12], [12], [12], [5, 5], [5, 5], [11]]
[[12], [12], [5, 5], [], [5, 5], [11], [], [12], [12], [5, 5], [12], [12]]
[[], [12], [11], [5, 5], [5, 5], [12], [12], [], [5, 5], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [112], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 10, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[6, 6, 6, 6, 6, 10], [6, 6, 12, 12, 12, 12, 12]]
[[12, 12], [6, 6, 6, 6, 6, 6, 6], [10, 12, 12, 12]]
[[10], [6, 6, 6, 6, 6, 6], [6, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 10], [6, 12, 12], [6, 6, 6, 12], [12, 12]]
[[], [6, 6, 6], [6, 6, 6, 6], [10, 12], [12, 12], [12, 12]]
[[12], [6, 12], [12], [6, 10], [6, 6, 6], [6, 12], [6, 12]]
[[12], [12], [6, 6, 6], [6, 6], [6, 12], [12], [6, 12], [10]]
[[12], [12], [12], [6, 6], [6, 6], [6, 10], [12], [6, 6], [12]]
[[], [12], [12], [6, 10], [6, 6], [12], [6, 6], [6, 6], [12], [12]]
[[12], [], [12], [12], [10], [12], [6, 6], [6], [12], [6, 6], [6, 6]]
[[10], [12], [6, 6], [12], [], [], [12], [12], [12], [6, 6], [6], [6, 6]]
[[], [6, 6], [12], [6, 6], [], [10], [], [6, 6], [12], [12], [12], [6], [12]]
-EndAllocation

Instance: [[1], [111], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 9, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13, 12], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6], [9, 12, 12, 12, 12, 12]]
[[12, 12], [6, 6, 6, 6, 6, 6, 6], [9, 12, 12, 12]]
[[6], [6, 6, 6, 6, 9], [6, 6, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6], [6, 12, 12], [6, 12, 12], [9, 12]]
[[], [6, 6, 6], [6, 6, 6, 6], [9, 12], [12, 12], [12, 12]]
[[12], [6, 12], [6, 6, 6], [9, 12], [6, 6, 6], [12], [12]]
[[12], [12], [6, 6, 6], [6, 6], [6, 12], [9], [6, 12], [12]]
[[6, 9], [12], [12], [6, 6], [6, 6], [12], [12], [6, 6], [12]]
[[], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6], [6, 9], [12]]
[[12], [], [12], [12], [12], [12], [6, 6], [6], [9], [6, 6], [6, 6]]
[[], [12], [9], [12], [6], [], [12], [12], [12], [6, 6], [6, 6], [6, 6]]
[[], [6], [12], [6, 6], [], [6, 6], [12], [6, 6], [9], [12], [12], [], [12]]
-EndAllocation

Instance: [[1], [110], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 10, 11, 11]]
[[5, 12], [10, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12], [5, 10, 11, 11], [5, 5, 5, 5, 5, 12]]
[[], [5, 12, 12], [5, 11, 11], [5, 12, 12], [5, 5, 5, 10]]
[[], [10, 12], [5, 5, 5, 5, 5], [5, 12], [11, 11], [12, 12]]
[[11], [5, 5, 10], [5, 12], [5, 12], [5, 12], [5, 12], [11]]
[[12], [5, 11], [10], [5, 12], [5, 5, 5], [11], [12], [5, 12]]
[[12], [10], [5, 5], [11], [11], [5, 5, 5], [12], [5, 12], [12]]
[[10], [12], [5, 5], [11], [12], [5, 5], [12], [5, 5], [12], [11]]
[[12], [12], [5, 5], [12], [5, 5], [11], [], [5, 5], [12], [10], [11]]
[[10], [5, 5], [11], [], [12], [5, 5], [12], [12], [12], [], [11], [5, 5]]
[[], [5, 5], [5, 5], [12], [5, 5], [11], [11], [], [12], [10], [], [12], [12]]
-EndAllocation

Instance: [[1], [109], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 8, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,13. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13, 13, 12], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10, 10, 9]
Allocation for m' = 2,...,13:
-StartAllocation
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 8, 11, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 8, 11]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 11], [5, 8, 12, 12]]
[[], [5, 12, 12], [11, 12], [5, 12, 12], [5, 5, 5, 5, 8]]
[[], [12, 12], [5, 5, 5, 8], [5, 5, 5], [11, 12], [12, 12]]
[[11], [5, 5, 8], [5, 12], [5, 12], [5, 12], [5, 12], [12]]
[[12], [11], [8], [5, 12], [5, 5, 5], [5, 12], [12], [5, 12]]
[[12], [12], [5, 5], [11], [12], [5, 5, 5], [8], [5, 12], [12]]
[[12], [12], [5, 5], [11], [12], [5, 5], [12], [5, 5], [8], [12]]
[[12], [8], [], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [11]]
[[8], [5, 5], [11], [], [12], [5, 5], [12], [12], [12], [], [12], [5, 5]]
[[], [5, 5], [5, 5], [12], [12], [11], [], [12], [8], [5, 5], [], [12], [12]]
-EndAllocation

Instance: [[1], [126], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13, 12], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 8, 8, 8, 8, 8, 8, 8]]
[[12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8], [5, 5, 12]]
[[8, 8, 8, 8, 8], [12, 12, 12], [8, 8], [5, 5, 12, 12]]
[[5, 5, 8, 8, 8], [8, 8, 8, 8], [12], [12, 12], [12, 12]]
[[8, 8, 8], [8, 8, 8], [5, 5], [12, 12], [12, 12], [8, 12]]
[[5, 5, 8], [], [12], [12, 12], [12, 12], [8, 8, 8], [8, 8, 8]]
[[5, 8, 8], [5, 12], [8, 8], [8, 12], [12], [12], [12], [8, 8]]
[[8], [8, 8], [8, 8], [8, 8], [5, 12], [5, 12], [12], [12], [12]]
[[5, 8], [8, 8], [8, 8], [8, 8], [], [12], [12], [12], [12], [5, 12]]
[[5, 5], [8, 8], [8, 8], [8, 8], [8], [], [12], [12], [12], [12], [12]]
[[12], [5, 8], [12], [12], [12], [8], [8], [8], [8], [8], [5, 8], [12]]
[[5, 5], [12], [8], [8], [8], [8], [8], [8], [12], [12], [12], [12], [8]]
[[5, 5], [], [8], [12], [8], [8], [8], [8], [8], [12], [12], [12], [12], [8]]
-EndAllocation

Instance: [[1], [125], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12, 12]]
[[11, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12, 12]]
[[12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [11, 12, 12]]
[[11], [5, 5, 5, 5, 12], [12, 12], [5, 12, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 11, 12], [12, 12]]
[[], [12, 12], [5, 5], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5]]
[[12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 11], [5, 12]]
[[12], [12], [5, 12], [12], [5, 5, 5], [12], [11], [5, 12], [5, 12]]
[[], [12], [5, 11], [12], [12], [5, 5, 5], [12], [5, 12], [12], [5, 12]]
[[], [11], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5]]
[[], [5, 5], [12], [5, 5], [11], [12], [5, 5], [12], [12], [12], [12], [12]]
[[], [11], [5, 5], [5, 5], [12], [], [12], [12], [12], [12], [5, 5], [12], [12]]
[[12], [5, 5], [12], [12], [], [12], [12], [12], [], [], [5, 5], [5, 5], [11], [12]]
-EndAllocation

Instance: [[1], [124], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 7, 8, 8, 8, 8, 10, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 8, 12], [4, 5, 6, 7, 10, 12, 12, 12, 12]]
[[8, 8, 12], [5, 6, 7, 8, 8, 12], [4, 10, 12, 12, 12]]
[[12], [4, 12, 12, 12], [5, 6, 10, 12], [7, 8, 8, 8, 8]]
[[], [6, 8, 8, 8], [8, 12, 12], [4, 5, 12, 12], [7, 10, 12]]
[[12], [4, 8, 8], [5, 6, 12], [7, 12], [12, 12], [8, 8, 10]]
[[12], [10, 12], [7, 12], [6, 12], [4, 12], [5, 8, 8], [8, 8]]
[[], [8, 12], [8, 12], [8, 12], [6, 8], [4, 10], [7, 12], [5, 12]]
[[12], [8, 10], [8, 8], [4, 8], [7], [5, 12], [12], [6, 12], [12]]
[[12], [8], [6, 8], [8], [12], [12], [12], [5, 12], [7, 10], [4, 8]]
[[12], [6, 8], [4, 8], [8], [5, 10], [7], [12], [12], [12], [12], [8]]
[[12], [8], [8], [12], [10], [12], [7], [4, 6], [8], [12], [5, 8], [12]]
[[12], [5], [8], [12], [4, 6], [12], [8], [7], [10], [12], [8], [8], [12]]
[[10], [12], [], [8], [8], [], [12], [5, 6], [8], [12], [12], [4, 7], [8], [12]]
-EndAllocation

Instance: [[1], [123], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[3, 3, 3, 11, 11, 12], [3, 7, 10, 12, 12, 12, 12, 12]]
[[10, 12], [3, 3, 3, 3, 12, 12, 12], [7, 11, 11, 12, 12]]
[[12], [3, 3, 3, 3, 12, 12], [11, 11, 12], [7, 10, 12, 12]]
[[12], [12, 12], [3, 7, 10, 12], [12, 12], [3, 3, 3, 11, 11]]
[[12], [10, 12], [11, 11], [12, 12], [3, 3, 3, 3, 12], [7, 12]]
[[], [3, 3, 3, 3, 12], [11, 11], [12, 12], [12], [7, 12], [10, 12]]
[[12], [10, 11], [3, 12], [3, 3, 3, 12], [12], [12], [11], [7, 12]]
[[11], [12], [11], [7, 10], [3, 3, 12], [3, 3, 12], [12], [12], [12]]
[[12], [3, 12], [7], [10], [3, 12], [3, 12], [3, 12], [12], [11], [11]]
[[11], [11], [12], [10], [12], [7], [12], [3, 3, 3, 3], [12], [12], [12]]
[[10], [11], [], [7], [12], [11], [3, 3, 3, 3], [12], [12], [12], [12], [12]]
[[12], [7], [3, 3, 3, 3], [11], [12], [12], [12], [], [11], [12], [], [12], [10]]
[[12], [12], [12], [12], [], [11], [3, 3], [12], [11], [3], [10], [3, 7], [], [12]]
-EndAllocation

Instance: [[1], [122], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13, 12], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[3, 3, 3, 11, 11, 12], [3, 6, 10, 12, 12, 12, 12, 12]]
[[10, 12], [3, 3, 3, 3, 6, 12, 12, 12], [11, 11, 12, 12]]
[[12], [3, 3, 3, 3, 12, 12], [11, 11, 12], [6, 10, 12, 12]]
[[12], [12, 12], [10, 11, 11], [6, 12, 12], [3, 3, 3, 3, 12]]
[[12], [12, 12], [11, 11], [12, 12], [3, 3, 3, 3, 6], [10, 12]]
[[], [3, 3, 3, 3, 12], [11, 11], [12, 12], [6, 12], [12], [10, 12]]
[[12], [10, 11], [3, 6, 12], [3, 3, 3, 12], [12], [12], [11], [12]]
[[11], [6, 12], [10], [12], [3, 3, 11], [3, 3, 12], [12], [12], [12]]
[[12], [12], [12], [6, 10], [12], [12], [3, 3, 3, 3], [12], [11], [11]]
[[11], [12], [12], [10], [12], [11], [12], [3, 3, 3, 3], [12], [6], [12]]
[[10], [11], [], [12], [12], [11], [3, 3, 3, 3], [12], [12], [6], [12], [12]]
[[12], [12], [3, 3, 3, 3], [11], [12], [12], [12], [], [11], [], [6], [12], [10]]
[[12], [12], [12], [12], [], [11], [3, 3], [12], [11], [], [10], [3, 3, 6], [], [12]]
-EndAllocation

Instance: [[1], [121], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 8, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13, 12], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 8, 11, 12]]
[[12, 12], [6, 6, 6, 6, 6, 6, 12], [6, 8, 11, 12, 12]]
[[6, 6], [6, 6, 12, 12], [6, 6, 6, 8, 11], [12, 12, 12]]
[[12], [12, 12], [6, 6, 11], [8, 12, 12], [6, 6, 6, 6, 6]]
[[], [6, 6, 11], [12, 12], [6, 8, 12], [6, 6, 6, 6], [12, 12]]
[[], [6, 6, 6, 6], [8, 12], [12, 12], [6, 6, 6], [11], [12, 12]]
[[12], [12], [12], [6, 6, 6], [6, 6, 6], [8, 12], [6, 12], [11]]
[[12], [6, 12], [6, 6, 6], [6, 12], [6, 12], [12], [6, 11], [], [8]]
[[12], [12], [12], [6, 6], [12], [6, 8], [12], [6], [6, 11], [6, 6]]
[[12], [], [12], [6, 6], [12], [6, 8], [12], [6, 6], [12], [11], [6, 6]]
[[], [11], [12], [6, 6], [12], [12], [12], [6, 8], [6, 6], [6, 6], [], [12]]
[[], [8], [6, 6], [12], [12], [], [6, 6], [6], [12], [12], [11], [6, 6], [12]]
[[8], [11], [], [6], [6, 6], [6, 6], [12], [6, 6], [12], [12], [12], [12], [], []]
-EndAllocation

Instance: [[1], [120], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13, 13, 12], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 12], [6, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 6, 12]]
[[12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 6]]
[[12], [5, 5, 5, 5, 5, 5], [6, 12, 12], [12, 12], [12, 12]]
[[12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12], [6, 12]]
[[], [5, 5], [6, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 5, 5], [6, 12], [5, 12], [12], [5, 12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [6, 12], [5, 5, 5]]
[[12], [6], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [6]]
[[], [12], [12], [6], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12]]
[[12], [], [5, 5], [12], [6], [12], [5, 5], [12], [12], [12], [5, 5], [12], []]
[[], [12], [12], [5, 5], [12], [12], [6], [5, 5], [], [5, 5], [12], [12], [], [12]]
-EndAllocation

Instance: [[1], [119], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 6, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[12, 12, 12, 12], [4, 4, 4, 4, 4, 6, 11, 11, 11, 12]]
[[12, 12], [4, 4, 4, 4, 4, 12, 12], [6, 11, 11, 11, 12]]
[[4], [4, 12, 12, 12], [4, 11, 11, 11], [4, 4, 6, 12, 12]]
[[12], [4, 4, 4, 4, 4, 12], [11, 11], [6, 11, 12], [12, 12]]
[[12], [6, 11], [4, 4, 4, 4, 4], [12, 12], [11, 11], [12, 12]]
[[12], [6, 12], [11, 11], [4, 12], [4, 4, 11], [4, 4, 12], [12]]
[[12], [12], [4, 12], [6, 12], [4, 4, 11], [11], [4, 4, 11], [12]]
[[11], [4, 4, 4, 4], [12], [12], [12], [4, 12], [6, 12], [11], [11]]
[[12], [12], [4, 12], [11], [11], [12], [6], [11], [12], [4, 4, 4, 4]]
[[12], [12], [12], [12], [4, 4], [4, 4, 4], [11], [11], [12], [11], [6]]
[[12], [12], [11], [4, 4, 4], [12], [11], [6], [12], [4, 4], [11], [12], []]
[[11], [11], [12], [11], [], [12], [12], [4, 4, 4], [12], [4, 4], [12], [], [6]]
[[], [12], [12], [4, 4, 4], [], [11], [12], [6], [], [11], [11], [12], [12], [4, 4]]
-EndAllocation

Instance: [[1], [118], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,14. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13, 13, 12], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,14:
-StartAllocation
[[12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 11, 11, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 12, 12], [11, 11, 12, 12]]
[[], [4, 12, 12, 12], [4, 11, 11, 12], [4, 4, 4, 4, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [12, 12]]
[[], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [11, 11], [12, 12]]
[[12], [12], [11, 11], [4, 4, 12], [4, 4, 12], [4, 4, 12], [12]]
[[12], [4, 4, 12], [4, 4, 12], [12], [11], [12], [4, 4, 11], [12]]
[[11], [4, 4, 4, 4], [12], [4, 12], [12], [12], [12], [4, 11], [12]]
[[12], [], [4, 12], [11], [12], [12], [11], [4, 12], [12], [4, 4, 4, 4]]
[[12], [12], [12], [12], [4, 4, 4], [4, 4, 4], [], [11], [12], [11], [12]]
[[12], [12], [12], [4, 4, 4], [12], [11], [], [12], [4, 4, 4], [11], [12], []]
[[11], [12], [12], [11], [], [12], [12], [4, 4, 4], [12], [4, 4, 4], [12], [], []]
[[12], [12], [12], [4, 4, 4], [], [11], [12], [11], [], [], [], [12], [12], [4, 4, 4]]
-EndAllocation

Instance: [[1], [135], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 7, 8, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[2, 2, 7, 11, 11, 12], [2, 8, 10, 10, 12, 12, 12, 12, 12]]
[[8, 11], [12, 12, 12, 12, 12], [2, 2, 2, 7, 10, 10, 11, 12]]
[[12], [8, 12, 12, 12], [10, 10, 11, 11], [2, 2, 2, 7, 12, 12]]
[[], [12, 12, 12], [10, 10, 12], [2, 2, 7, 12, 12], [2, 8, 11, 11]]
[[12], [12, 12], [11, 12], [7, 10, 10], [12, 12], [2, 2, 2, 8, 11]]
[[], [11, 12], [2, 2, 2, 7, 12], [8, 10], [12, 12], [12, 12], [10, 11]]
[[12], [12], [8, 12], [11, 11], [10, 10], [7, 12], [12], [2, 2, 2, 12]]
[[11], [8, 11], [12], [12], [12], [7, 12], [2, 2, 2, 12], [12], [10, 10]]
[[12], [12], [2, 2, 2, 11], [8, 10], [12], [7, 10], [12], [11], [12], [12]]
[[10], [8], [12], [11], [12], [12], [12], [2, 2, 2, 11], [7, 10], [12], [12]]
[[12], [7], [10], [12], [8], [2, 2, 2, 10], [12], [12], [12], [12], [11], [11]]
[[12], [12], [11], [12], [2, 2, 2], [8], [12], [12], [12], [7], [10], [11], [10]]
[[10], [12], [12], [12], [10], [11], [8], [12], [12], [12], [2, 2, 2], [11], [], [7]]
[[], [2, 10], [11], [], [2, 10], [12], [12], [11], [12], [12], [12], [8], [2, 7], [12], []]
-EndAllocation

Instance: [[1], [134], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 7, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13, 12], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[11, 12, 12, 12], [3, 3, 3, 3, 7, 10, 10, 12, 12, 12, 12]]
[[3, 11], [12, 12, 12, 12, 12], [3, 3, 3, 7, 10, 10, 12, 12]]
[[12], [12, 12, 12], [10, 10, 11, 12], [3, 3, 3, 3, 7, 12, 12]]
[[], [12, 12, 12], [10, 10, 12], [7, 12, 12], [3, 3, 3, 3, 11, 12]]
[[12], [12, 12], [11, 12], [7, 10, 10], [12, 12], [3, 3, 3, 3, 12]]
[[12], [11, 12], [7, 12], [3, 3, 3, 3, 12], [12], [12, 12], [10, 10]]
[[12], [12], [10, 12], [10, 12], [3, 3, 3, 12], [7, 12], [3, 12], [11]]
[[12], [11], [3, 3, 12], [12], [12], [7, 12], [12], [3, 3, 12], [10, 10]]
[[12], [12], [7, 11], [3, 3, 12], [10], [12], [12], [3, 3, 10], [12], [12]]
[[10], [12], [12], [12], [11], [12], [3, 3, 3, 3], [12], [7, 10], [12], [12]]
[[12], [7], [10], [12], [12], [3, 3, 3, 3], [12], [12], [12], [12], [10], [11]]
[[12], [12], [11], [12], [12], [12], [12], [12], [3, 3, 3, 3], [7], [], [10], [10]]
[[10], [], [12], [3, 3, 3, 3], [10], [12], [12], [12], [12], [12], [12], [11], [], [7]]
[[], [12], [3, 3, 3, 3], [], [10], [12], [12], [11], [12], [12], [12], [10], [7], [12], []]
-EndAllocation

Instance: [[1], [133], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13, 12], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 12, 12, 12, 12, 12], [4, 8, 8, 8, 8, 8, 8, 8, 8]]
[[12, 12, 12, 12, 12], [4, 8, 8], [5, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [8, 8, 8], [12, 12], [4, 5, 12, 12, 12]]
[[8, 8, 8, 8], [8, 8, 8, 8], [12, 12, 12], [], [4, 5, 12, 12]]
[[4, 8, 8], [12, 12], [12, 12], [8, 8, 8], [12], [5, 8, 8, 8]]
[[4, 5, 8, 8], [12], [8, 8, 8], [], [12, 12], [12, 12], [8, 8, 8]]
[[4, 5, 12], [8, 8], [8, 8], [8, 8], [8, 12], [8, 12], [12], [12]]
[[4, 5, 8], [8, 8], [8, 12], [8, 8], [12], [12], [12], [12], [8, 8]]
[[4, 8], [5, 12], [12], [8, 8], [8, 8], [12], [12], [8, 8], [12], [8]]
[[4, 8], [5, 8], [8, 8], [8, 8], [12], [], [12], [12], [12], [12], [8, 8]]
[[4, 8], [5, 8], [8, 8], [8, 8], [12], [8, 8], [], [], [12], [12], [12], [12]]
[[12], [5, 8], [12], [12], [8], [8], [8], [12], [8], [8], [4, 8], [12], [8]]
[[4, 8], [5, 8], [8], [8], [8], [8], [8], [], [12], [8], [12], [12], [12], [12]]
[[4, 5], [8], [8], [8], [8], [8], [8], [8], [12], [8], [12], [], [12], [12], [12]]
-EndAllocation

Instance: [[1], [132], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12]; Results for m' = 2,...,15. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[7, 7, 11, 11, 11], [1, 6, 8, 8, 9, 9, 10, 10, 12, 12]]
[[8, 10], [6, 8, 9, 10, 12, 12], [1, 7, 7, 9, 11, 11, 11]]
[[8, 9], [1, 10, 11, 11, 11], [8, 9, 10], [6, 7, 7, 12, 12]]
[[], [8, 8, 9, 11], [10, 10, 12], [7, 7, 11, 11], [1, 6, 9, 12]]
[[7], [9, 9, 11], [1, 8, 8, 10], [11, 12], [6, 7, 10], [11, 12]]
[[10], [7, 7, 11], [12, 12], [9, 9], [8, 8], [1, 6, 11], [10, 11]]
[[11], [8, 12], [11, 11], [9, 10], [6, 10], [7, 7], [1, 12], [8, 9]]
[[11], [12], [1, 7, 10], [8, 11], [6], [9], [9, 10], [8, 12], [7, 11]]
[[11], [7, 11], [12], [7, 8], [10], [9], [1, 11], [12], [8, 10], [6, 9]]
[[9], [12], [1, 7, 7], [11], [11], [10], [6, 9], [10], [11], [12], [8, 8]]
[[7, 7], [12], [9], [10], [1, 8], [11], [10], [11], [6, 8], [12], [9], [11]]
[[8], [9], [9], [1, 7], [12], [11], [6, 7], [10], [8], [12], [11], [11], [10]]
[[7], [8], [1, 11], [10], [12], [8], [11], [11], [7], [12], [6], [9], [10], [9]]
[[10], [], [7], [8], [11], [10], [12], [12], [6], [9], [7], [11], [8], [1, 9], [11]]
-EndAllocation

Instance: [[1], [131], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13, 12], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8], [5, 5, 5, 12, 12], [12, 12, 12], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [12, 12, 12], [5, 5, 5, 12], [8, 8, 8], [12]]
[[5, 5, 5, 8], [8, 8, 8], [12], [8, 8, 8], [12, 12], [12, 12]]
[[5, 5, 5, 8], [8, 8, 8], [], [12], [12, 12], [12, 12], [8, 8, 8]]
[[5, 5, 5], [12], [8, 8], [8, 12], [8, 8], [12], [8, 12], [8, 12]]
[[8, 8], [8, 8], [8, 12], [5, 5, 5], [8, 8], [12], [12], [12], [12]]
[[8, 8], [8, 8], [12], [8, 8], [5, 5, 5], [12], [12], [12], [12], [8]]
[[5, 5, 5], [8, 8], [8], [8, 8], [12], [12], [], [12], [12], [12], [8, 8]]
[[5, 8], [12], [12], [12], [12], [8], [12], [8], [8], [8], [5, 8], [5, 8]]
[[5, 5], [5, 8], [12], [8], [8], [12], [12], [12], [8], [8], [8], [8], [12]]
[[5, 5], [8], [12], [8], [8], [8], [], [12], [5, 8], [8], [8], [12], [12], [12]]
[[5, 5], [], [12], [12], [8], [8], [8], [8], [8], [5], [8], [12], [8], [12], [12]]
-EndAllocation

Instance: [[1], [130], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 3, 3, 9, 11, 11], [12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [3, 3, 3, 3, 3, 12, 12, 12], [9, 11, 11, 12, 12]]
[[12, 12], [12, 12, 12], [11, 11, 12], [3, 3, 3, 3, 3, 9, 12]]
[[12], [3, 9, 11, 11], [12, 12], [3, 12, 12], [3, 3, 3, 12, 12]]
[[12], [9, 12], [11, 11], [12, 12], [3, 3, 3, 3, 3, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 11], [9, 12], [12, 12], [3, 3, 3, 3, 3]]
[[12], [3, 3, 12], [11, 11], [3, 3, 3, 12], [12], [9, 12], [12], [12]]
[[12], [3, 11], [3, 3, 12], [12], [12], [9, 11], [12], [12], [3, 3, 12]]
[[12], [3, 12], [3, 3, 11], [12], [12], [12], [3, 12], [9], [11], [3, 12]]
[[12], [12], [3, 3, 3, 3, 3], [12], [12], [12], [12], [11], [9], [12], [11]]
[[12], [11], [12], [12], [3], [9], [3, 3, 3, 3], [12], [11], [12], [12], [12]]
[[11], [12], [11], [3], [12], [12], [12], [], [12], [3, 3, 3, 3], [12], [9], [12]]
[[], [11], [3, 3, 3, 3], [], [12], [], [12], [12], [12], [12], [3, 9], [12], [12], [11]]
[[11], [12], [12], [3, 3, 3, 3], [12], [], [12], [12], [12], [3], [9], [], [], [11], [12]]
-EndAllocation

Instance: [[1], [129], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13, 13, 12], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[3, 3, 3, 3, 3, 8, 11, 11], [12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [3, 3, 3, 3, 3, 12, 12, 12], [8, 11, 11, 12, 12]]
[[12, 12], [12, 12, 12], [11, 11, 12], [3, 3, 3, 3, 3, 8, 12]]
[[12], [3, 3, 11, 11], [12, 12], [8, 12, 12], [3, 3, 3, 12, 12]]
[[12], [12, 12], [11, 11], [12, 12], [3, 3, 3, 3, 3, 12], [8, 12]]
[[], [12, 12], [12, 12], [11, 11], [12, 12], [8, 12], [3, 3, 3, 3, 3]]
[[12], [12], [8, 12], [3, 3, 3, 12], [12], [3, 3, 12], [11, 11], [12]]
[[12], [12], [12], [12], [12], [3, 3, 3, 11], [11], [8, 12], [3, 3, 12]]
[[12], [3, 3, 3, 8], [3, 3, 11], [12], [12], [12], [12], [11], [12], [12]]
[[12], [12], [3, 3, 3, 3, 3], [12], [12], [12], [12], [11], [12], [8], [11]]
[[12], [11], [12], [12], [3], [8], [3, 3, 3, 3], [12], [11], [12], [12], [12]]
[[11], [12], [11], [3], [8], [12], [12], [], [12], [3, 3, 3, 3], [12], [12], [12]]
[[], [11], [3, 3, 3, 3], [12], [8], [], [12], [12], [12], [12], [3], [12], [12], [11]]
[[11], [12], [12], [3, 3, 3, 3], [12], [], [8], [12], [12], [3], [12], [], [], [11], [12]]
-EndAllocation

Instance: [[1], [128], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 6, 8, 8, 8, 8, 8, 8, 8, 11, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[12, 12, 12, 12], [2, 5, 6, 8, 8, 8, 8, 8, 8, 8, 11]]
[[5, 11], [2, 6, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8]]
[[8], [2, 8, 8, 8, 8, 8], [6, 11, 12, 12], [5, 8, 12, 12]]
[[], [8, 11, 12], [2, 8, 8, 8, 8], [5, 6, 8, 12], [8, 12, 12]]
[[], [8, 8, 11], [8, 12], [8, 8, 12], [2, 5, 8, 12], [6, 8, 12]]
[[8], [8, 11], [8, 12], [6, 12], [8, 12], [2, 8, 12], [5, 8, 8]]
[[12], [6, 8], [2, 8, 8], [8, 12], [5, 8], [8, 11], [8, 12], [12]]
[[], [8, 12], [2, 8, 8], [8], [6, 8], [11], [5, 12], [8, 12], [8, 12]]
[[12], [8], [8, 8], [6, 8], [12], [5, 8], [2, 12], [12], [11], [8, 8]]
[[12], [8, 8], [8, 8], [8], [5, 11], [12], [2, 8], [12], [12], [6], [8]]
[[12], [8], [8], [12], [8], [2, 8], [8], [12], [5, 8], [6, 8], [11], [12]]
[[12], [6], [8], [8], [8], [2, 11], [8], [12], [12], [12], [8], [5, 8], [8]]
[[8], [12], [8], [5, 8], [12], [6], [2, 8], [], [8], [8], [11], [12], [8], [12]]
[[], [8], [12], [8], [12], [2, 8], [12], [8], [8], [11], [8], [6], [5], [8], [12]]
-EndAllocation

Instance: [[1], [127], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,15. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13, 13, 12], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,15:
-StartAllocation
[[4, 4, 4, 4, 4, 12, 12], [4, 8, 11, 12, 12, 12, 12, 12]]
[[11, 12], [4, 4, 4, 4, 4, 4, 12, 12], [8, 12, 12, 12, 12]]
[[12, 12], [8, 12, 12], [4, 4, 4, 4, 4, 4, 11], [12, 12, 12]]
[[12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 8], [11, 12], [12, 12]]
[[], [11, 12], [12, 12], [4, 4, 4, 4, 4, 8], [4, 12, 12], [12, 12]]
[[], [11, 12], [12, 12], [4, 4], [4, 4, 4, 4, 8], [12, 12], [12, 12]]
[[12], [4, 4, 12], [4, 4, 12], [8, 12], [4, 4, 12], [11], [12], [12]]
[[12], [11], [4, 12], [12], [12], [4, 4, 4, 4, 4], [12], [8, 12], [12]]
[[12], [11], [8], [4, 12], [4, 4, 4, 4], [12], [12], [12], [4, 12], [12]]
[[12], [], [12], [12], [8], [12], [4, 12], [4, 12], [12], [4, 4, 4], [4, 11]]
[[8], [12], [12], [12], [11], [12], [12], [], [12], [4, 4, 4], [12], [4, 4, 4]]
[[12], [12], [4, 4], [11], [4, 4, 4], [12], [], [12], [], [4, 8], [12], [12], [12]]
[[], [8], [], [12], [12], [12], [12], [4, 4, 4], [11], [12], [], [12], [12], [4, 4, 4]]
[[], [12], [], [], [4, 4, 4], [11], [12], [12], [], [12], [8], [4, 4, 4], [12], [12], [12]]
-EndAllocation

Instance: [[1], [144], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 8, 8, 8, 8, 8, 8, 8, 9, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13, 12], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[3, 6, 8, 8, 8, 8, 8, 8, 8, 9], [11, 11, 12, 12, 12, 12]]
[[3, 6, 8, 8, 8, 8, 8, 8], [8, 11, 11], [9, 12, 12, 12, 12]]
[[3, 6, 8, 9], [11, 11], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12]]
[[3, 6, 8, 8, 9], [8, 8, 8, 8], [12, 12, 12], [12], [8, 11, 11]]
[[3, 6, 8, 8], [8, 8, 8, 8], [12], [11, 11], [12, 12], [8, 9, 12]]
[[3, 6, 8, 9], [8, 8, 8], [11, 11], [], [12, 12], [12, 12], [8, 8, 8]]
[[3, 6, 8], [], [8, 8, 8], [11, 11], [12, 12], [9], [12, 12], [8, 8, 8]]
[[3, 6, 8], [8, 8], [11], [8, 8], [8, 11], [9, 12], [12], [12], [8, 12]]
[[3, 6, 9], [8, 8], [8, 8], [11], [8, 12], [12], [12], [12], [11], [8, 8]]
[[3, 12], [6, 11], [8, 8], [8, 8], [8], [8], [11], [12], [12], [12], [8, 9]]
[[3, 6], [8, 8], [8, 8], [9], [8], [11], [12], [12], [12], [11], [12], [8, 8]]
[[3, 6], [8, 8], [8, 8], [8, 8], [12], [8], [], [9], [11], [12], [12], [12], [11]]
[[12], [8], [8], [8], [8], [8], [8], [12], [6, 8], [9], [11], [12], [3, 11], [12]]
[[3, 8], [8], [8], [12], [8], [8], [8], [8], [12], [12], [6], [12], [11], [11], [9]]
[[11], [8], [8], [8], [8], [9], [8], [8], [8], [12], [], [12], [12], [11], [12], [3, 6]]
-EndAllocation

Instance: [[1], [143], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 6, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[11, 12, 12, 12], [4, 4, 4, 4, 4, 6, 10, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4], [4, 12, 12, 12, 12, 12], [6, 10, 11, 12, 12, 12]]
[[12], [10, 12, 12, 12], [4, 4, 4, 4, 4, 12, 12], [6, 11, 12, 12]]
[[12], [12, 12, 12], [4, 4, 4, 4, 4, 12], [6, 10, 11], [12, 12, 12]]
[[12], [6, 10, 12], [4, 4, 4, 4, 4, 12], [12, 12], [11, 12], [12, 12]]
[[], [4, 4, 4, 4, 4, 6], [11, 12], [12, 12], [12, 12], [10, 12], [12, 12]]
[[], [4, 4, 4, 4, 4], [12, 12], [11, 12], [10, 12], [12, 12], [6], [12, 12]]
[[12], [12], [12], [4, 4, 12], [12], [10, 11], [4, 4, 12], [4, 12], [6, 12]]
[[12], [12], [4, 4, 10], [4, 12], [6, 11], [12], [12], [12], [4, 4, 12], [12]]
[[12], [12], [4, 4, 4, 4], [4, 12], [6, 10], [12], [12], [12], [12], [12], [11]]
[[12], [4, 4, 4, 4], [], [4, 12], [12], [12], [12], [11], [6, 10], [12], [12], [12]]
[[12], [6], [12], [4], [4, 10], [12], [11], [12], [12], [12], [12], [4, 4, 4], [12]]
[[12], [12], [12], [11], [4, 4, 4], [12], [12], [], [12], [4, 10], [], [12], [12], [4, 6]]
[[12], [10], [4, 4], [12], [11], [12], [12], [12], [], [6], [], [12], [12], [12], [4, 4, 4]]
[[12], [12], [12], [], [], [4], [11], [4, 6], [12], [12], [12], [], [12], [10], [12], [4, 4, 4]]
-EndAllocation

Instance: [[1], [142], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[8, 11, 12, 12, 12], [4, 4, 4, 4, 4, 9, 10, 12, 12, 12, 12]]
[[4, 4, 4, 4], [4, 12, 12, 12, 12, 12], [8, 9, 10, 11, 12, 12]]
[[12], [10, 12, 12, 12], [4, 4, 4, 4, 4, 9, 12], [8, 11, 12, 12]]
[[12], [12, 12, 12], [4, 4, 4, 4, 4, 8], [9, 10, 11], [12, 12, 12]]
[[12], [10, 12], [4, 4, 4, 4, 4, 12], [12, 12], [8, 9, 11], [12, 12]]
[[12], [4, 4, 4, 4, 4], [9, 11], [8, 12], [12, 12], [10, 12], [12, 12]]
[[], [4, 4, 4, 4, 4], [12, 12], [11, 12], [8, 10], [12, 12], [9], [12, 12]]
[[12], [12], [12], [8, 12], [4, 4, 4, 4, 4], [9, 12], [12], [12], [10, 11]]
[[12], [12], [4, 4, 4, 4, 4], [12], [8, 11], [12], [12], [12], [9, 10], [12]]
[[12], [12], [4, 4, 4, 4], [8, 9], [12], [10], [12], [12], [12], [12], [4, 11]]
[[12], [4, 4, 4, 4], [9], [4, 12], [12], [12], [8], [11], [10], [12], [12], [12]]
[[8], [12], [12], [4, 9], [4, 10], [12], [11], [12], [], [12], [12], [4, 4, 4], [12]]
[[12], [12], [4], [9], [4, 4, 4], [12], [12], [], [12], [4, 10], [8], [12], [11], [12]]
[[12], [10], [4, 4], [], [9], [12], [12], [12], [], [12], [11], [12], [8], [12], [4, 4, 4]]
[[12], [12], [12], [], [9], [4, 8], [11], [4], [12], [12], [12], [], [], [10], [12], [4, 4, 4]]
-EndAllocation

Instance: [[1], [141], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13, 12], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 9, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4], [12, 12, 12, 12, 12], [4, 9, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 9, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [4, 4, 4, 4, 4, 4, 12], [9, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [9, 12], [12, 12]]
[[], [4, 4, 4, 4, 4, 4], [9, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12], [12, 12], [9], [12, 12]]
[[12], [12], [12], [4, 4, 12], [12], [9, 12], [4, 4, 12], [4, 4, 12], [12]]
[[12], [12], [12], [4, 4, 12], [12], [12], [4, 4, 12], [9], [12], [4, 4, 12]]
[[12], [12], [4, 4, 4, 4], [4, 4, 9], [12], [12], [12], [12], [12], [12], [12]]
[[12], [4, 4, 4, 4], [9], [4, 12], [12], [12], [], [12], [4, 12], [12], [12], [12]]
[[12], [9], [12], [12], [4, 4, 4], [12], [12], [12], [], [12], [12], [4, 4, 4], [12]]
[[12], [12], [12], [9], [4, 4, 4], [12], [12], [], [12], [4, 4, 4], [], [12], [12], [12]]
[[12], [12], [4, 4, 4], [], [9], [12], [12], [12], [], [12], [], [12], [12], [12], [4, 4, 4]]
[[12], [12], [12], [], [], [9], [12], [4, 4, 4], [12], [12], [12], [], [12], [], [12], [4, 4, 4]]
-EndAllocation

Instance: [[1], [140], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[3, 3, 3, 3, 3, 9, 12, 12], [8, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 8, 9, 12, 12]]
[[12], [9, 12, 12, 12], [3, 3, 8, 12, 12], [3, 3, 3, 12, 12, 12]]
[[12], [3, 3, 3, 3, 3, 12], [12, 12, 12], [8, 9, 12], [12, 12, 12]]
[[12], [12, 12], [9, 12], [3, 3, 12, 12], [8, 12, 12], [3, 3, 3, 12]]
[[], [12, 12], [12, 12], [12, 12], [8, 12], [12, 12], [3, 3, 3, 3, 3, 9]]
[[], [8, 12], [12], [12, 12], [3, 3, 3, 3, 3], [12, 12], [12, 12], [9, 12]]
[[12], [3, 3, 3, 12], [8, 12], [12], [3, 3, 12], [12], [12], [9, 12], [12]]
[[12], [12], [3, 3, 12], [12], [3, 3, 12], [12], [12], [8, 9], [3, 12], [12]]
[[12], [9], [3, 12], [3, 12], [3, 12], [3, 12], [12], [12], [8], [12], [3, 12]]
[[12], [12], [12], [3, 3, 3, 3, 3], [12], [12], [12], [9], [12], [12], [8], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [8], [3, 3, 3, 3], [9], [12], [3]]
[[12], [3, 3, 3, 3], [9], [12], [8], [12], [12], [12], [12], [], [3], [12], [12], [12]]
[[12], [9], [8], [12], [12], [12], [12], [3], [12], [12], [12], [3, 3, 3, 3], [], [12], []]
[[12], [], [12], [12], [12], [12], [9], [12], [12], [], [], [3], [12], [8], [3, 3, 3, 3], [12]]
-EndAllocation

Instance: [[1], [139], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[3, 3, 3, 3, 3, 9, 11, 12], [8, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 8, 9, 11, 12]]
[[12], [9, 12, 12, 12], [3, 3, 8, 11, 12], [3, 3, 3, 12, 12, 12]]
[[12], [3, 3, 3, 3, 3, 12], [12, 12, 12], [8, 9, 11], [12, 12, 12]]
[[12], [11, 12], [9, 12], [3, 3, 12, 12], [8, 12, 12], [3, 3, 3, 12]]
[[], [12, 12], [3, 3, 3, 3, 12], [12, 12], [8, 9], [12, 12], [3, 11, 12]]
[[], [8, 12], [12], [12, 12], [3, 3, 3, 3, 3], [12, 12], [11, 12], [9, 12]]
[[12], [3, 3, 3, 12], [8, 12], [12], [3, 3, 12], [12], [11], [9, 12], [12]]
[[12], [12], [3, 3, 12], [12], [3, 3, 12], [12], [11], [8, 9], [3, 12], [12]]
[[12], [9], [3, 3, 11], [3, 12], [3, 12], [3, 12], [12], [12], [8], [12], [12]]
[[12], [11], [12], [3, 3, 3, 3, 3], [12], [12], [12], [9], [12], [12], [8], [12]]
[[12], [12], [12], [11], [12], [12], [12], [12], [8], [3, 3, 3, 3], [9], [12], [3]]
[[12], [3, 3, 3, 3], [9], [12], [11], [12], [12], [12], [12], [], [3], [12], [8], [12]]
[[12], [9], [8], [12], [12], [11], [12], [3], [12], [12], [12], [3, 3, 3, 3], [], [12], []]
[[12], [], [12], [11], [12], [12], [9], [12], [12], [], [], [3], [12], [8], [3, 3, 3, 3], [12]]
-EndAllocation

Instance: [[1], [138], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12]]
[[6, 12], [4, 4, 4, 4, 4, 4, 12, 12, 12], [12, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 6, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 6], [12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4], [12, 12], [6, 12, 12], [12, 12], [12, 12]]
[[], [12, 12], [6, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [], [12, 12], [6, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [6, 12], [12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [12], [12]]
[[12], [6, 12], [12], [4, 12], [4, 4, 4, 4], [12], [12], [12], [4, 12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [4, 4, 6], [12]]
[[12], [4, 4], [12], [12], [6], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12]]
[[12], [], [12], [12], [12], [4, 4, 4], [12], [4, 4, 4], [12], [6], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [12], [4, 6], [12], [4, 4, 4], [], [12], [4, 4], [12]]
[[12], [], [12], [12], [12], [12], [12], [4, 4], [12], [], [12], [4, 6], [], [12], [4, 4, 4]]
[[12], [], [12], [12], [4, 4, 4], [], [12], [12], [12], [], [], [4, 4, 4], [12], [6], [12], [12]]
-EndAllocation

Instance: [[1], [137], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13, 13, 12], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 11, 12], [6, 12, 12, 12, 12, 12, 12, 12]]
[[6, 12], [4, 4, 4, 4, 4, 4, 12, 12, 12], [11, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 6, 12], [11, 12, 12], [12, 12, 12]]
[[], [6, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11], [12, 12, 12]]
[[12], [4, 4, 4, 4, 11], [4, 4, 12], [6, 12, 12], [12, 12], [12, 12]]
[[], [12, 12], [6, 12], [11, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 4, 4, 4], [], [12, 12], [6, 12], [12, 12], [11, 12], [12, 12]]
[[12], [12], [6, 12], [12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [11], [12]]
[[12], [6, 11], [4, 12], [4, 12], [4, 4, 4, 4], [12], [12], [12], [12], [12]]
[[12], [12], [6, 11], [12], [12], [12], [12], [4, 4, 4, 4], [12], [4, 4], [12]]
[[12], [4, 11], [12], [12], [4, 6], [12], [4, 4, 4, 4], [], [12], [12], [12], [12]]
[[12], [], [12], [11], [12], [4, 4, 4], [12], [4, 4, 4], [12], [6], [12], [12], [12]]
[[12], [12], [12], [12], [11], [], [12], [4, 6], [12], [4, 4, 4], [], [12], [4, 4], [12]]
[[12], [], [12], [12], [12], [11], [12], [4, 4], [12], [], [12], [4, 6], [], [12], [4, 4, 4]]
[[12], [], [12], [11], [4, 4, 4], [], [12], [12], [12], [], [], [4, 4, 4], [12], [6], [12], [12]]
-EndAllocation

Instance: [[1], [136], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,16. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13, 13, 12], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,16:
-StartAllocation
[[8, 8, 8, 8, 10, 10], [12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12, 12], [8, 8, 8, 8], [10, 10, 12, 12]]
[[8, 8, 8, 8, 12], [10, 10], [12, 12, 12], [12, 12, 12]]
[[8, 8, 8, 8], [12], [10, 10], [12, 12, 12], [12, 12, 12]]
[[8, 12], [12, 12], [12, 12], [8, 8, 8], [12, 12], [10, 10]]
[[8, 12], [8, 8, 8], [10, 10], [], [12, 12], [12, 12], [12, 12]]
[[12], [12], [12], [8, 12], [8, 12], [10, 12], [10, 12], [8, 8]]
[[8, 12], [8, 12], [8, 8], [12], [12], [12], [10, 10], [12], [12]]
[[12], [8, 10], [8, 8], [12], [8, 10], [12], [12], [12], [12], [12]]
[[12], [12], [8, 8], [8, 8], [12], [10], [12], [12], [12], [12], [10]]
[[12], [8, 8], [8, 8], [10], [12], [12], [], [12], [12], [12], [10], [12]]
[[12], [12], [8], [12], [8], [12], [8], [8], [10], [10], [12], [12], [12]]
[[12], [12], [12], [12], [12], [10], [], [8], [8], [8], [8], [10], [12], [12]]
[[12], [12], [], [8], [12], [10], [8], [12], [8], [8], [], [12], [12], [12], [10]]
[[12], [12], [12], [10], [12], [], [8], [8], [8], [8], [], [], [12], [12], [10], [12]]
-EndAllocation

Instance: [[1], [153], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 6, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13, 12], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 12, 12, 12], [4, 6, 10, 11, 11, 11, 12, 12, 12, 12]]
[[10, 12, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 6, 11, 11, 11]]
[[], [4, 11, 12, 12, 12], [4, 12, 12, 12, 12], [4, 4, 4, 6, 10, 11, 11]]
[[11], [12, 12, 12], [6, 11, 12, 12], [10, 11, 12], [4, 4, 4, 4, 4, 12]]
[[12, 12], [11, 12], [12, 12], [4, 4, 4, 4, 4, 6], [12, 12], [10, 11, 11]]
[[12, 12], [6, 12], [], [4, 12, 12], [4, 12, 12], [4, 4, 10, 11], [4, 11, 11]]
[[], [11, 11], [4, 4, 4, 4, 4], [12, 12], [6, 10], [11, 12], [12, 12], [12, 12]]
[[12], [11, 11], [12], [4, 12], [6, 12], [4, 4, 12], [11], [10, 12], [4, 4, 12]]
[[11], [11], [12], [12], [4, 4, 12], [6, 12], [10, 11], [4, 4, 12], [12], [4, 12]]
[[12], [4, 12], [12], [10], [11], [12], [4, 12], [4, 11], [4, 12], [6, 12], [4, 11]]
[[12], [12], [6, 10], [11], [12], [12], [12], [11], [12], [4, 4, 4, 4], [4, 12], [11]]
[[11], [10], [12], [6], [4, 11], [12], [4, 4, 4, 4], [12], [11], [12], [12], [12], [12]]
[[12], [12], [12], [11], [4, 4], [11], [6], [4, 4, 4], [12], [12], [12], [12], [10], [11]]
[[12], [12], [], [], [4, 4, 4], [12], [4, 4, 6], [11], [12], [12], [10], [12], [11], [11], [12]]
[[12], [11], [11], [12], [4, 4], [12], [10], [11], [12], [12], [6], [12], [12], [4, 4, 4], [], []]
[[12], [], [12], [4, 4], [4, 4, 4], [12], [], [11], [], [12], [11], [11], [12], [10], [12], [6], [12]]
-EndAllocation

Instance: [[1], [152], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 9, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5], [5, 5, 9, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 9], [5, 12, 12, 12], [12, 12, 12]]
[[12], [12, 12], [9, 12, 12], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5]]
[[5, 5, 5, 5, 9], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [5, 5, 12], [12, 12], [9], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 12], [5, 5, 12], [12], [9, 12], [5, 5, 12], [12]]
[[12], [12], [5, 5, 5, 5], [5, 12], [12], [9, 12], [12], [5, 12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 12], [9], [5, 12], [5, 12]]
[[12], [12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [9], [12], [12], [12], [12], [12]]
[[9], [12], [12], [12], [12], [12], [5, 5, 5], [5], [12], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [12], [5, 9]]
[[12], [], [5, 5], [12], [12], [12], [5, 5], [12], [9], [5, 5], [12], [12], [12], [12], [5]]
[[12], [12], [12], [5, 5], [12], [5], [12], [9], [], [5, 5], [5, 5], [12], [12], [12], [], [12]]
[[12], [9], [12], [12], [5], [12], [5, 5], [5, 5], [12], [12], [12], [], [], [], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [151], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 4, 5, 8, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13, 12], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[2, 12, 12, 12, 12], [2, 3, 4, 5, 8, 10, 11, 11, 11, 12, 12, 12]]
[[12, 12], [8, 12, 12, 12, 12, 12], [2, 2, 3, 4, 5, 10, 11, 11, 11]]
[[10], [12, 12, 12, 12], [2, 2, 4, 5, 12, 12, 12], [3, 8, 11, 11, 11]]
[[], [3, 12, 12, 12], [5, 12, 12, 12], [8, 11, 11], [2, 2, 4, 10, 11, 12]]
[[], [11, 11, 12], [2, 2, 12, 12], [4, 8, 12], [3, 5, 12, 12], [10, 11, 12]]
[[3, 12, 12], [5, 12, 12], [], [12, 12], [4, 10, 12], [2, 2, 8, 11], [11, 11]]
[[12], [5, 11], [4, 11], [2, 2, 12], [12, 12], [3, 8, 11], [12, 12], [10, 12]]
[[12], [11], [8, 12], [3, 12], [12], [4, 12], [11, 11], [10, 12], [2, 2, 5, 12]]
[[11], [12], [2, 2, 12], [10, 11], [3, 4, 11], [5, 12], [12], [8, 12], [12], [12]]
[[12], [12], [8, 10], [2, 2, 12], [11], [11], [12], [4, 11], [3, 12], [5, 12], [12]]
[[12], [12], [5, 10], [11], [2, 2, 8], [12], [12], [11], [12], [3, 12], [4, 12], [11]]
[[12], [10], [12], [12], [11], [5], [4, 11], [2, 2, 12], [11], [12], [12], [12], [3, 8]]
[[12], [12], [12], [11], [12], [11], [8], [4], [2, 5], [12], [2, 12], [3, 11], [10], [12]]
[[12], [11], [12], [12], [4], [2, 2], [12], [3, 11], [11], [12], [10], [12], [5], [8], [12]]
[[12], [11], [5], [11], [12], [12], [2, 2], [11], [12], [12], [12], [12], [10], [3, 4], [8], []]
[[12], [12], [8], [], [4], [12], [3], [11], [5], [2, 2], [11], [12], [12], [10], [12], [11], [12]]
-EndAllocation

Instance: [[1], [150], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 9, 10, 12, 12, 12]]
[[10, 12], [5, 5, 5, 5, 5, 5, 9, 12, 12], [5, 12, 12, 12, 12, 12]]
[[12], [9, 10, 12, 12], [5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 9], [5, 10, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [5, 5, 5, 5, 9], [10, 12]]
[[10, 12], [12, 12], [12], [5, 5, 9], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12], [5, 5, 5, 10], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [9, 12]]
[[12], [12], [12], [5, 5, 5, 5], [5, 12], [9, 12], [5, 5, 12], [12], [10, 12]]
[[12], [10], [12], [5, 5, 9], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12]]
[[12], [9], [5, 12], [12], [5, 10], [12], [12], [5, 5, 5], [5, 12], [5, 12], [12]]
[[12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [9], [12], [10], [12]]
[[12], [9], [12], [5, 5, 5], [12], [12], [10], [12], [12], [12], [5, 5, 5], [12], [5]]
[[12], [12], [5, 5], [12], [5, 5], [9], [12], [12], [12], [12], [5], [12], [10], [5, 5]]
[[], [5, 5], [5], [5, 5], [12], [12], [5, 5], [12], [12], [9], [12], [10], [12], [12], [12]]
[[], [5, 5], [12], [5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [9], [10], [12], [], [12]]
[[12], [5, 5], [], [12], [5, 5], [5], [], [], [12], [9], [12], [12], [10], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [149], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 6, 12, 12], [5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 12], [5, 5, 6, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 6], [12, 12]]
[[6, 12], [12, 12], [12], [5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12], [5, 5, 5, 6], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[12], [6, 12], [12], [5, 5, 12], [5, 5, 12], [5, 12], [5, 5, 12], [12], [12]]
[[12], [12], [6, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 5, 6], [12], [12], [5, 5, 5], [5, 12], [12], [12]]
[[12], [12], [5, 5, 5], [5, 6], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [6], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5]]
[[12], [12], [5, 5], [6], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5], [5, 5]]
[[], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [], [12], [5, 6], [12], [12], [12]]
[[], [5, 5], [12], [5], [12], [12], [6], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12]]
[[], [5, 5], [], [12], [5, 5], [5, 6], [], [], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [148], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[12, 12], [12, 12], [], [5, 5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12]]
[[12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [12]]
[[12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [5, 5]]
[[12], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [5, 5], [5, 5]]
[[], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12], [12]]
[[], [5, 5], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12]]
[[], [5, 5], [], [12], [5, 5], [5, 5], [], [], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [147], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6, 10, 12, 12, 12]]
[[10, 12], [5, 5, 5, 5, 5, 5, 6, 12, 12], [5, 12, 12, 12, 12, 12]]
[[12], [10, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [6, 10, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 6], [10, 12]]
[[6, 10, 12], [12, 12], [], [5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5], [5, 6, 10], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[12], [6, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 5, 12], [12], [10, 12]]
[[12], [10], [6, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [6, 10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [5, 6], [12], [12], [12], [5, 5, 5], [12], [12], [10], [12]]
[[12], [6, 10], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [5]]
[[12], [12], [5, 5], [6], [5, 5], [12], [12], [12], [12], [12], [5], [12], [10], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [12], [12], [10], [12], [12], [], [12], [5, 6], [12], [12], [12]]
[[], [5, 5], [12], [5], [12], [12], [6], [12], [5, 5], [12], [5, 5], [12], [10], [12], [], [12]]
[[], [5, 5], [], [12], [5, 5], [5, 6], [], [], [12], [12], [12], [12], [10], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [146], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 11], [2, 5, 6, 6, 8, 12, 12, 12, 12, 12]]
[[5, 6, 12], [2, 11, 12, 12, 12, 12], [6, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 12], [5, 6, 12, 12, 12], [2, 8, 12], [6, 8, 8, 8, 8, 11]]
[[8], [2, 8, 8, 8, 8], [11, 12, 12], [5, 6, 8, 12], [6, 8, 12, 12]]
[[], [2, 5, 8, 8, 8], [8, 11, 12], [12, 12], [6, 6, 8, 12], [8, 8, 12]]
[[12], [6, 8, 12], [12], [6, 8, 8], [8, 8, 8], [2, 11, 12], [5, 8, 12]]
[[], [6, 8, 8], [5, 6, 12], [8, 11], [12, 12], [2, 8, 8], [8, 12], [8, 12]]
[[], [6, 8], [8, 8], [2, 8, 11], [8, 12], [5, 12], [6, 12], [8, 12], [8, 12]]
[[], [8, 12], [12], [8, 12], [5, 8], [8, 11], [8, 12], [8, 12], [6, 8], [2, 6]]
[[12], [8, 8], [8], [5, 8], [8, 8], [6, 12], [6, 12], [12], [2, 12], [8], [11]]
[[12], [12], [8], [2, 8], [8, 8], [8], [12], [6, 11], [12], [5, 8], [12], [6, 8]]
[[12], [6, 8], [5, 8], [8], [8, 8], [8, 8], [12], [], [12], [6], [12], [2, 11], [12]]
[[12], [8], [12], [5], [2, 11], [12], [12], [6, 8], [12], [8], [8], [8], [6, 8], [8]]
[[12], [8], [2, 8], [8], [6], [8], [12], [12], [12], [8], [8], [5, 6], [8], [11], [12]]
[[12], [11], [8], [5, 8], [8], [], [12], [8], [8], [6], [12], [2, 8], [8], [6], [12], [12]]
[[12], [8], [12], [8], [2], [8], [6], [12], [8], [8], [12], [], [5, 6], [8], [12], [11], [8]]
-EndAllocation

Instance: [[1], [145], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,17. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 9, 10, 12, 12, 12, 12, 12]]
[[10, 12], [3, 3, 3, 3, 3, 3, 9, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [3, 3, 9, 10, 12, 12], [3, 3, 3, 3, 12, 12, 12], [12, 12, 12, 12]]
[[12], [3, 3, 3, 3, 3, 3, 12], [9, 12, 12], [10, 12, 12], [12, 12, 12]]
[[12], [12, 12], [3, 3, 3, 3, 3, 3, 12], [12, 12], [9, 12, 12], [10, 12]]
[[3, 3, 3, 3, 3, 3, 10], [12, 12], [], [9, 12], [12, 12], [12, 12], [12, 12]]
[[], [12], [10, 12], [9, 12], [12, 12], [12, 12], [12, 12], [3, 3, 3, 3, 3, 3]]
[[12], [3, 3, 3, 12], [12], [3, 3, 3, 12], [12], [9, 12], [12], [12], [10, 12]]
[[12], [12], [12], [9, 10], [3, 3, 12], [3, 3, 12], [12], [12], [12], [3, 3, 12]]
[[12], [9], [12], [3, 3, 12], [10], [3, 3, 12], [12], [12], [12], [12], [3, 3, 12]]
[[12], [3, 3, 3], [3, 12], [12], [12], [12], [12], [12], [3, 3, 9], [12], [10], [12]]
[[12], [9], [12], [3, 3, 3, 3, 3], [12], [12], [10], [12], [], [12], [3, 12], [12], [12]]
[[12], [12], [3, 3], [12], [12], [9], [12], [3, 3, 3, 3], [12], [12], [12], [], [10], [12]]
[[], [3, 3, 3, 3], [12], [12], [], [12], [12], [12], [12], [9], [12], [10], [12], [12], [3, 3]]
[[], [12], [3, 3], [12], [12], [12], [], [12], [3, 3, 3, 3], [12], [12], [9], [10], [12], [], [12]]
[[], [12], [3, 3], [12], [], [12], [], [], [12], [9], [12], [12], [10], [12], [12], [3, 3, 3, 3], [12]]
-EndAllocation

Instance: [[1], [162], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 7, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 7, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 7, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [7, 12, 12, 12]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [7, 12, 12]]
[[], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 7], [12, 12], [5, 12, 12]]
[[], [5, 5, 12], [7, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [12], [12, 12], [5, 5, 5, 5], [7, 12], [12, 12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 12], [5, 12], [12], [7, 12], [5, 5, 12], [5, 5, 12]]
[[12], [7, 12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [7], [5, 12], [5, 12], [5, 12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [7], [5, 5, 5], [12], [5, 12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [5], [12], [12], [12], [7], [12], [12], [5, 5, 5]]
[[12], [5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [7], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [5, 5], [12], [5, 5], [7], [5, 5], [12], [], [5], [12], [12], [12], [12], [12]]
[[12], [], [5, 7], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [5, 5]]
[[7], [12], [12], [12], [12], [5], [5, 5], [], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], []]
-EndAllocation

Instance: [[1], [161], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13, 12], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12]]
[[6, 12], [5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12], [6, 12, 12, 12, 12]]
[[12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [6, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12], [6, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 12, 12]]
[[], [5, 5, 12], [6, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [6, 12], [12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 12], [6, 12], [12], [5, 12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [12], [5, 12], [6, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [6, 12], [5, 5, 5], [5, 12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 6], [12], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [5], [12], [12], [6], [12], [12], [12], [5, 5, 5]]
[[12], [5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [6], [5, 5], [12]]
[[12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [], [5], [12], [12], [12], [6], [12]]
[[12], [12], [5, 5], [], [5, 5], [12], [12], [6], [5, 5], [12], [12], [], [12], [12], [12], [12], [5]]
[[12], [6], [12], [12], [12], [5], [5, 5], [], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], []]
-EndAllocation

Instance: [[1], [160], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 9, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[11, 11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 6, 9, 10, 12, 12, 12, 12]]
[[5, 5, 5, 5], [6, 9, 11, 11, 11, 12, 12], [5, 5, 10, 12, 12, 12, 12]]
[[5], [5, 5, 6, 10, 12, 12], [5, 5, 9, 11, 11, 11], [5, 12, 12, 12, 12]]
[[12, 12], [11, 11, 11], [5, 5, 5, 5, 5, 5, 6], [9, 12, 12], [10, 12, 12]]
[[], [11, 11, 11], [5, 5, 5, 5, 5, 5, 6], [12, 12, 12], [9, 10], [12, 12, 12]]
[[], [6, 11, 11], [12, 12], [9, 10, 11], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [12, 12], [11, 12], [5, 6, 12], [5, 5, 9], [12, 12], [11, 11], [5, 5, 5, 10]]
[[], [5, 6, 12], [11, 11], [12, 12], [12, 12], [5, 5, 10], [9], [11, 12], [5, 5, 5]]
[[11], [12], [12], [5, 5, 5, 5], [12], [5, 5, 11], [6, 12], [12], [9, 12], [10, 11]]
[[12], [5, 5, 5, 5], [5, 12], [12], [5, 10], [9, 11], [12], [11], [6, 11], [12], [12]]
[[12], [5, 11], [5, 5, 5], [10], [6, 11], [5, 9], [12], [5, 12], [12], [12], [11], [12]]
[[12], [12], [11], [12], [5, 11], [12], [12], [11], [5, 9], [6], [5, 12], [5, 5, 5], [10]]
[[12], [12], [5, 10], [12], [5, 5, 5], [5, 5], [12], [], [12], [12], [11], [6, 9], [11], [11]]
[[12], [10], [9], [5, 5], [12], [12], [11], [12], [11], [11], [12], [6], [5, 5], [5, 5], [12]]
[[12], [9], [12], [10], [5], [5, 5], [5, 5], [11], [12], [], [11], [11], [12], [12], [12], [5, 6]]
[[10], [12], [12], [11], [], [11], [6], [12], [12], [5, 5], [5, 5], [12], [5, 5], [], [12], [9], [11]]
[[11], [5, 5], [5], [12], [5, 5], [11], [12], [12], [], [12], [12], [], [12], [5, 6], [9], [10], [], [11]]
-EndAllocation

Instance: [[1], [159], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8], [5, 6, 7, 7, 11, 11, 12, 12, 12, 12]]
[[5, 6, 7, 7], [11, 11, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 6, 8, 8], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12], [7, 7, 11, 11]]
[[5, 6, 7, 7, 8, 8], [8, 8, 8, 8, 8], [11, 11], [12, 12], [8, 12, 12]]
[[8, 8, 8, 8], [11, 12, 12], [], [8, 8, 8, 8], [5, 6, 7, 7, 11], [12, 12]]
[[6, 8, 8, 8], [8, 8], [8, 8, 8], [7, 7, 12], [11, 11], [12, 12], [5, 12]]
[[8, 8], [8, 8, 8], [5, 6, 7, 7], [], [11, 11], [12, 12], [12, 12], [8, 8, 8]]
[[5, 6, 8], [8, 8, 8], [], [12, 12], [], [12, 12], [8, 8, 8], [11, 11], [7, 7, 8]]
[[5, 8, 8], [11], [8, 8], [8, 8], [8, 8], [6, 12], [7, 12], [12], [11], [7, 12]]
[[5, 8], [6, 7, 7], [8, 8], [8, 8], [12], [12], [12], [12], [8, 11], [11], [8, 8]]
[[5, 8], [6, 11], [8, 8], [8, 8], [8, 8], [12], [12], [8], [11], [12], [7, 7], [12]]
[[5, 12], [8, 8], [8, 8], [8, 8], [6, 7], [7], [8, 8], [], [12], [11], [12], [12], [11]]
[[5, 6], [7, 7], [8, 8], [8, 8], [11], [], [12], [], [12], [11], [12], [12], [8, 8], [8, 8]]
[[11], [12], [11], [12], [6, 8], [12], [8], [8], [8], [8], [12], [8], [7, 7], [8], [5, 8]]
[[5, 8], [8], [6, 7], [8], [11], [12], [8], [8], [12], [8], [11], [12], [12], [8], [7], [8]]
[[5, 7], [11], [8], [8], [8], [11], [8], [], [8], [8], [8], [12], [12], [12], [8], [12], [6, 7]]
[[8], [8], [8], [7], [8], [6], [8], [8], [8], [8], [], [12], [11], [12], [12], [12], [11], [5, 7]]
-EndAllocation

Instance: [[1], [158], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 6, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[3, 3, 3, 3, 3, 6, 11, 11, 12], [9, 10, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [3, 3, 6, 9, 11, 12, 12, 12], [3, 3, 3, 10, 11, 12, 12, 12]]
[[3], [6, 10, 12, 12, 12], [3, 3, 3, 9, 11, 11, 12], [3, 12, 12, 12, 12]]
[[12], [12, 12, 12], [6, 11, 11, 12], [3, 3, 3, 3, 3, 9, 12], [10, 12, 12]]
[[], [10, 11, 12], [6, 11, 12], [12, 12, 12], [3, 3, 3, 3, 3, 9], [12, 12, 12]]
[[12], [6, 11, 12], [12, 12], [11, 12], [9, 10], [3, 3, 12, 12], [3, 3, 3, 12]]
[[], [12, 12], [12, 12], [6, 12], [3, 3, 3, 3, 3, 9], [12, 12], [11, 11], [10, 12]]
[[], [6, 12], [11], [12, 12], [3, 3, 3, 3, 3], [10, 12], [9, 12], [11, 12], [12, 12]]
[[10, 11], [12], [12], [6, 12], [12], [12], [3, 3, 11], [12], [9, 12], [3, 3, 3, 12]]
[[12], [12], [12], [3, 3, 3, 10], [12], [9, 11], [12], [3, 3, 12], [6, 11], [12], [12]]
[[12], [11], [12], [3, 3, 3, 9], [6, 10], [12], [12], [12], [12], [12], [11], [3, 3, 12]]
[[12], [3, 3, 3, 3, 3], [12], [12], [11], [12], [12], [11], [6, 9], [12], [12], [12], [10]]
[[12], [12], [3, 3, 3, 3, 3], [12], [12], [], [12], [12], [12], [10], [11], [6, 9], [11], [12]]
[[12], [10], [9], [12], [12], [12], [12], [], [3, 11], [11], [3, 3, 3, 3], [6], [12], [12], [12]]
[[12], [9], [12], [10], [12], [12], [11], [12], [12], [], [3], [11], [12], [12], [3, 3, 3, 3], [6]]
[[10], [12], [12], [11], [], [3, 3, 3, 3], [6], [12], [12], [], [12], [12], [12], [3], [12], [9], [11]]
[[12], [], [], [12], [], [11], [12], [12], [3, 3, 3, 3], [12], [12], [12], [12], [3, 6], [9], [10], [], [11]]
-EndAllocation

Instance: [[1], [157], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 10, 11, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 7, 7, 10, 11, 12, 12, 12, 12]]
[[6, 6, 6, 10, 11], [7, 7, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8]]
[[8], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12], [6, 6, 6, 7, 7, 10, 11]]
[[8, 8, 8, 8], [8, 8, 8, 12], [10, 11, 12], [7, 7], [6, 6, 6, 12, 12]]
[[6, 6, 6, 10], [7, 7, 12], [11], [8, 8, 8], [12, 12, 12], [8, 8, 8, 8]]
[[6, 6, 6, 8], [8, 8, 11], [8, 8], [10], [12, 12], [12, 12], [7, 7, 8, 8]]
[[6, 6, 6, 7], [7, 8, 8], [], [8, 8], [10, 11], [12, 12], [12, 12], [8, 8, 8]]
[[6, 8], [12, 12], [8, 8, 8], [12, 12], [6, 6], [], [8, 8, 8], [11], [7, 7, 10]]
[[8, 10], [8, 8], [8, 8], [6, 12], [7, 7], [6, 11], [6, 12], [12], [12], [8, 8]]
[[8, 8], [8, 8], [6, 7, 7], [6, 10], [6, 12], [12], [12], [12], [8], [11], [8, 8]]
[[8, 8], [6, 6, 6], [12], [8, 8], [7, 7], [10], [12], [8], [11], [12], [12], [8, 8]]
[[6, 6], [6, 10], [8], [8, 8], [8, 8], [7], [12], [11], [7], [12], [12], [12], [8, 8]]
[[6, 10], [6, 6], [8, 8], [8, 8], [], [12], [8], [], [12], [12], [11], [12], [8, 8], [7, 7]]
[[6, 7], [6, 8], [6, 8], [8], [8], [8], [12], [12], [8], [7], [8], [10], [12], [11], [12]]
[[8], [12], [10], [6, 7], [8], [8], [12], [6, 7], [8], [8], [12], [8], [11], [8], [12], [6]]
[[6, 6], [6], [12], [7], [12], [7], [8], [8], [8], [8], [8], [8], [11], [8], [12], [12], [10]]
[[8], [6, 6], [6], [], [10], [8], [8], [7], [8], [8], [8], [12], [12], [12], [7], [11], [12], [8]]
-EndAllocation

Instance: [[1], [156], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[9, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 11, 12, 12, 12, 12, 12]]
[[12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 9, 11, 12], [12, 12, 12, 12, 12]]
[[4], [4, 4, 4, 4, 9, 12, 12], [4, 11, 12, 12, 12], [4, 12, 12, 12, 12]]
[[12], [11, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 9], [12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [9, 11, 12], [12, 12], [12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [9, 11], [12, 12]]
[[], [11, 12], [12, 12], [12, 12], [4, 9, 12], [12, 12], [12], [4, 4, 4, 4, 4, 4]]
[[], [12, 12], [12], [4], [4, 4, 4, 4, 4, 4], [9, 12], [11, 12], [12, 12], [12, 12]]
[[12], [11], [9, 12], [4, 12], [4, 4, 12], [12], [4, 4, 12], [12], [4, 4, 12], [12]]
[[12], [12], [12], [4, 4, 12], [12], [12], [4, 9], [4, 4, 11], [12], [12], [4, 4, 12]]
[[12], [9], [11], [4, 12], [12], [12], [12], [12], [4, 12], [12], [4, 12], [4, 4, 4, 4]]
[[12], [4, 12], [4, 12], [12], [4, 11], [9], [12], [12], [12], [12], [4, 4, 4, 4], [12], []]
[[12], [12], [4, 4, 4, 4], [12], [12], [9], [4, 4, 4], [11], [12], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [], [12], [4, 4, 4], [12], [12], [11], [], [4, 4, 4], [12], [4, 9], [12]]
[[12], [4, 4, 4], [12], [12], [], [12], [12], [12], [], [12], [12], [4], [4, 4, 4], [12], [11], [9]]
[[12], [12], [11], [], [9], [12], [12], [4, 4, 4], [12], [], [12], [4], [4, 4, 4], [], [12], [12], [12]]
[[12], [12], [], [4], [12], [4, 4, 4], [12], [9], [11], [12], [12], [], [4, 4, 4], [12], [], [12], [], [12]]
-EndAllocation

Instance: [[1], [155], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13, 13, 12], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[9, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10, 12, 12, 12, 12, 12]]
[[12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 9, 10, 12], [12, 12, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 9, 10, 12], [4, 12, 12, 12, 12], [4, 12, 12, 12, 12]]
[[12], [10, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 9], [12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4], [10, 12, 12], [9, 12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 4, 4, 4, 10], [12, 12], [12, 12], [4, 4, 12], [9, 12], [12, 12]]
[[], [10, 12], [12, 12], [12, 12], [4, 9, 12], [12, 12], [12], [4, 4, 4, 4, 4, 4]]
[[], [12, 12], [10], [4], [4, 4, 4, 4, 4, 4], [9, 12], [12, 12], [12, 12], [12, 12]]
[[12], [10], [9, 12], [4, 12], [4, 4, 12], [12], [4, 4, 12], [12], [4, 4, 12], [12]]
[[12], [12], [12], [4, 4, 12], [12], [12], [9, 10], [4, 4, 4, 4, 4], [12], [12], [12]]
[[12], [9], [10], [4, 12], [12], [12], [12], [12], [4, 12], [12], [4, 12], [4, 4, 4, 4]]
[[12], [12], [12], [12], [4, 4, 4], [9], [10], [12], [12], [12], [4, 4, 4, 4], [12], [12]]
[[12], [12], [4, 4, 4, 4], [12], [12], [9], [4, 4, 4], [12], [12], [12], [12], [12], [], [10]]
[[12], [12], [12], [12], [], [10], [4, 4, 4], [12], [12], [12], [], [4, 4, 4], [12], [4, 9], [12]]
[[10], [4, 4, 4], [12], [12], [], [12], [12], [12], [], [12], [12], [4], [4, 4, 4], [12], [12], [9]]
[[12], [12], [4], [], [9], [12], [12], [4, 4, 4], [], [], [12], [12], [4, 4, 4], [10], [12], [12], [12]]
[[12], [12], [10], [], [12], [4, 4, 4], [12], [9], [4, 4, 4], [12], [12], [], [4], [12], [], [12], [], [12]]
-EndAllocation

Instance: [[1], [154], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 5, 5, 6, 8, 8, 9, 9, 10, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,18. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,18:
-StartAllocation
[[5, 5, 5, 8, 12, 12, 12], [3, 5, 6, 8, 9, 9, 10, 11, 11, 11, 12]]
[[5, 5, 5, 8, 9], [11, 11, 11, 12, 12, 12], [3, 5, 6, 8, 9, 10, 12]]
[[11, 11], [3, 5, 5, 5, 5, 9, 9, 10], [6, 8, 12, 12, 12], [8, 11, 12]]
[[12], [3, 8, 12, 12], [5, 5, 5, 11, 11], [9, 9, 10, 11], [5, 6, 8, 12]]
[[5], [3, 5, 9, 12], [11, 11, 12], [5, 10, 12], [6, 8, 9, 11], [5, 8, 12]]
[[11, 12], [10, 11], [3, 9, 9], [6, 11, 12], [8, 12], [5, 5, 5, 5], [8, 12]]
[[], [5, 8, 12], [5, 12], [5, 9], [6, 9, 11], [5, 8, 10], [3, 11, 12], [11, 12]]
[[], [11, 11], [6, 10], [3, 8, 11], [12, 12], [12, 12], [5, 5, 5], [9], [5, 8, 9]]
[[12], [8, 10], [6], [8, 11], [3, 12], [9, 12], [11], [5, 5, 5], [9, 11], [5, 12]]
[[12], [6, 9], [11], [8, 10], [5, 12], [3, 9], [11], [12], [12], [5, 5, 8], [5, 11]]
[[12], [9], [5, 11], [5, 11], [9], [6, 8], [5, 12], [3, 8], [11], [12], [12], [5, 10]]
[[11], [8], [5, 11], [5, 9], [5, 8], [12], [12], [11], [3, 10], [12], [12], [6, 9], [5]]
[[8], [10], [9], [12], [5, 9], [3, 11], [5, 6], [12], [12], [11], [11], [12], [5, 8], [5]]
[[11], [12], [11], [5, 9], [12], [3, 5], [5, 8], [8], [5], [11], [12], [6], [9], [10], [12]]
[[11], [12], [3, 5], [9], [12], [11], [12], [12], [8], [9], [5, 5], [10], [11], [6], [8], [5]]
[[8], [12], [12], [12], [12], [5, 8], [9], [9], [6], [5], [10], [11], [11], [11], [3], [5], [5]]
[[11], [5], [], [3, 5], [12], [12], [12], [5], [9], [11], [9], [11], [8], [6], [8], [10], [12], [5]]
-EndAllocation

Instance: [[1], [171], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13, 12], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [5, 12, 12], [5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [12, 12, 12], [12, 12, 12]]
[[12], [5, 5, 5, 5, 12], [5, 5, 5, 5, 11], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 11, 12], [12, 12], [5, 12, 12], [12], [12, 12], [5, 5, 5, 5, 5], [5, 12, 12]]
[[], [12, 12], [12, 12], [12], [5, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 11], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [12], [12, 12], [], [5, 5, 5, 5], [12, 12], [12, 12], [11, 12]]
[[11], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [12], [5, 5, 5, 5], [12], [5, 12], [5, 11], [5, 12], [12], [12], [12], [12]]
[[11], [5, 5, 5], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12]]
[[12], [12], [12], [12], [12], [12], [11], [5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5]]
[[12], [5, 5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [11], [12], [5, 5, 5]]
[[12], [12], [], [12], [11], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5]]
[[12], [5, 5], [11], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [], [5, 5], [12], []]
[[], [12], [], [12], [], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [11], [12], [12]]
[[], [5, 5], [12], [12], [5, 5], [], [], [12], [12], [], [5, 5], [12], [12], [12], [12], [12], [12], [11], [5, 5]]
-EndAllocation

Instance: [[1], [170], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 4, 5, 6, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13, 13, 12], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[3, 3, 3, 6, 8, 10, 12, 12], [4, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [3, 3, 3, 8, 10, 11, 12, 12, 12], [4, 5, 6, 9, 12, 12, 12, 12]]
[[11], [3, 3, 3, 4, 6, 12, 12, 12], [5, 9, 12, 12, 12], [8, 10, 12, 12, 12]]
[[12], [4, 6, 12, 12], [8, 10, 12, 12], [5, 9, 11, 12], [3, 3, 3, 12, 12, 12]]
[[12], [6, 12, 12], [5, 8, 10, 12], [4, 11, 12], [3, 3, 3, 9, 12], [12, 12, 12]]
[[], [12, 12], [4, 6, 9, 10], [8, 12, 12], [3, 3, 3, 11, 12], [12, 12], [5, 12, 12]]
[[], [5, 12, 12], [12, 12], [12], [3, 3, 3, 4, 6, 10], [12, 12], [8, 9, 11], [12, 12]]
[[], [9, 11], [6, 12], [4, 10], [12, 12], [12, 12], [3, 3, 3, 12], [5, 8, 12], [12, 12]]
[[12], [11], [10, 12], [5, 12], [6, 12], [3, 3, 3, 12], [12], [8, 12], [4, 12], [9, 12]]
[[12], [4, 12], [3, 5, 11], [3, 3, 12], [8, 12], [12], [10], [6, 12], [12], [9, 12], [12]]
[[12], [10], [4, 12], [12], [6, 9], [12], [11], [8, 12], [12], [12], [3, 5, 12], [3, 3, 12]]
[[12], [11], [12], [12], [12], [9], [12], [6, 12], [3, 3, 3, 8], [12], [4, 12], [5, 12], [10]]
[[12], [3, 3, 3, 5], [4, 10], [12], [11], [9], [12], [6, 8], [12], [12], [12], [12], [12], [12]]
[[12], [12], [5], [12], [10], [8], [12], [12], [12], [4, 12], [12], [6, 9], [11], [12], [3, 3, 3]]
[[12], [3, 5], [6], [11], [12], [10], [12], [12], [3, 3, 8], [12], [9], [12], [12], [12], [4], [12]]
[[12], [4], [12], [8], [3, 3, 6], [12], [10], [12], [3], [12], [12], [11], [12], [5], [12], [12], [9]]
[[9], [12], [12], [12], [6], [11], [4], [12], [], [12], [12], [12], [12], [8], [3, 3, 3], [10], [5], [12]]
[[12], [4], [12], [12], [12], [10], [12], [12], [12], [3, 3, 3], [11], [5], [6], [12], [8], [], [], [12], [9]]
-EndAllocation

Instance: [[1], [169], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 8, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13, 13, 12], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[9, 11, 12, 12, 12], [3, 3, 3, 3, 3, 8, 8, 10, 12, 12, 12, 12, 12, 12]]
[[12, 12], [3, 3, 3, 3, 3, 9, 10, 12, 12, 12], [8, 8, 11, 12, 12, 12, 12]]
[[9], [3, 3, 3, 3, 3, 11, 12, 12], [8, 12, 12, 12, 12], [8, 10, 12, 12, 12]]
[[12], [12, 12, 12], [3, 3, 3, 3, 3, 8, 9, 10], [8, 11, 12, 12], [12, 12, 12]]
[[], [8, 8, 12], [3, 3, 3, 3, 3, 9, 12], [12, 12, 12], [10, 12, 12], [11, 12, 12]]
[[12], [9, 12, 12], [8, 8, 11], [3, 3, 3, 3, 3, 12], [12, 12], [10, 12], [12, 12]]
[[], [12, 12], [12, 12], [8, 8, 12], [12, 12], [3, 3, 3, 3, 3, 9], [10, 12], [11, 12]]
[[], [12, 12], [12, 12], [11, 12], [12], [10, 12], [3, 3, 3, 3, 3], [8, 8, 9], [12, 12]]
[[12], [12], [8, 12], [12], [9, 12], [3, 3, 11], [3, 3, 3, 12], [10, 12], [12], [8, 12]]
[[12], [12], [3, 3, 12], [12], [12], [10, 11], [3, 3, 3, 12], [8, 8], [9, 12], [12], [12]]
[[12], [12], [12], [12], [8, 8], [12], [3, 3, 12], [3, 3, 3, 11], [12], [12], [9, 10], [12]]
[[10], [12], [3, 12], [3, 12], [8, 9], [12], [3, 12], [11], [12], [8], [12], [3, 12], [3, 12]]
[[12], [12], [12], [12], [12], [12], [12], [10], [12], [8, 9], [11], [8], [3, 3, 3, 3, 3], [12]]
[[12], [], [12], [8, 8], [12], [3, 3, 3, 3, 3], [12], [12], [12], [11], [12], [9], [12], [12], [10]]
[[12], [12], [12], [9], [12], [3], [12], [8], [10], [8], [12], [12], [12], [11], [12], [3, 3, 3, 3]]
[[12], [10], [12], [12], [11], [3], [9], [8], [12], [8], [12], [12], [3, 3, 3, 3], [12], [12], [12], []]
[[12], [12], [12], [8], [3, 3, 3, 3], [10], [8], [12], [12], [], [12], [], [3], [9], [12], [11], [12], [12]]
[[8], [12], [12], [12], [12], [11], [12], [3], [], [10], [], [12], [9], [12], [3, 3, 3, 3], [8], [], [12], [12]]
-EndAllocation

Instance: [[1], [168], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 5, 5, 5, 8, 8, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[10, 10, 10, 12, 12, 12, 12, 12, 12], [4, 4, 5, 5, 5, 5, 8, 8, 11, 11]]
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 8, 8, 11, 11], [4, 4, 10, 10, 10]]
[[4, 4, 5, 5, 5, 5, 8, 8, 12], [12], [10, 10, 10, 11, 11], [12, 12, 12, 12]]
[[4, 4, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 8, 8], [10, 10, 10], [11, 11]]
[[4, 4, 5, 5, 5, 11], [10, 10, 10], [12, 12, 12], [12, 12, 12], [], [5, 8, 8, 11]]
[[4, 4, 12, 12], [12, 12], [8, 8], [10, 10, 10], [12, 12], [5, 5, 5, 5], [11, 11]]
[[4, 12, 12], [4, 5, 5, 5, 5], [10, 10], [8, 8], [11, 11], [12, 12], [12, 12], [10]]
[[10, 12], [4, 10, 11], [12], [11], [10, 12], [12, 12], [8, 8], [5, 5, 5, 5], [4, 12]]
[[4, 5, 5, 5], [5, 12], [12], [10, 12], [10, 10], [11], [8, 12], [8, 12], [4, 12], [11]]
[[4, 4, 12], [12], [11], [5, 5, 5, 5], [12], [12], [12], [10, 10], [8, 8], [12], [10, 11]]
[[4, 4, 10], [5, 5], [5, 12], [8, 10], [12], [8, 10], [12], [12], [12], [12], [11], [5, 11]]
[[4, 10], [12], [12], [12], [10], [12], [11], [12], [12], [4, 11], [8, 8], [5, 10], [5, 5, 5]]
[[4, 4, 5], [10], [11], [10], [12], [10], [11], [12], [8, 8], [12], [12], [12], [5, 5, 5], [12]]
[[4, 4, 5], [5, 5], [10], [11], [5, 11], [12], [12], [], [12], [12], [12], [10], [10], [12], [8, 8]]
[[4, 4, 5], [5, 8], [10], [12], [12], [12], [12], [11], [10], [5, 5], [], [12], [8], [12], [11], [10]]
[[4, 4, 5], [8], [12], [12], [11], [10], [12], [10], [11], [5, 5], [12], [10], [], [8], [12], [5], [12]]
[[4, 8], [12], [11], [12], [4, 5], [5], [11], [10], [], [], [8], [12], [12], [10], [10], [5, 5], [12], [12]]
[[4, 4], [11], [5, 5], [], [8], [10], [12], [], [10], [12], [11], [8], [12], [], [10], [12], [12], [5, 5], [12]]
-EndAllocation

Instance: [[1], [167], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[7, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12], [4, 4, 4, 4, 8, 8, 12, 12]]
[[7, 9, 9, 12, 12, 12, 12], [4, 4, 4, 4, 8, 8, 11, 11], [10, 10, 10, 10]]
[[7, 8, 8, 9, 9, 12], [11], [10, 10, 10, 10, 11], [4, 4, 4, 4, 12, 12, 12]]
[[7, 11, 12, 12], [8, 8], [10, 10, 10], [9, 9, 10, 11], [4, 4, 4, 4, 12, 12]]
[[4, 4, 4, 4, 7, 9], [9, 12, 12], [10, 10, 10], [10, 12], [11, 12], [8, 8, 11]]
[[10, 10, 10], [12, 12], [4, 4, 4, 4, 8, 8], [10, 12], [], [7, 11, 11], [9, 9, 12]]
[[7], [4, 4, 4, 4, 8], [10, 10], [8, 9, 9], [10, 10], [11, 11], [12, 12], [12, 12]]
[[10, 10], [10, 10], [11, 11], [7], [4, 4, 4, 4, 9], [], [8, 8, 9], [12, 12], [12, 12]]
[[4, 4, 4, 4], [8, 8], [7, 12], [10, 12], [10, 10], [11, 11], [12], [10, 12], [9, 9], []]
[[4, 4, 4, 4], [10, 10], [11], [12], [12], [12], [12], [10, 10], [8, 8], [7, 11], [9, 9]]
[[4, 4, 10], [4, 11], [10], [10], [12], [12], [12], [8, 8], [11], [4, 12], [7, 10], [9, 9]]
[[4, 10], [10], [9], [12], [11], [12], [10], [12], [12], [8, 9], [4, 11], [7, 10], [4, 4, 8]]
[[4, 12], [7, 9], [9], [11], [12], [10], [10], [], [11], [10], [4, 12], [8, 8], [4, 12], [4, 10]]
[[4, 4, 4, 4], [12], [10], [10], [10], [12], [11], [11], [12], [9], [12], [9], [10], [7], [8, 8]]
[[9], [7], [9], [11], [12], [8], [10], [10], [10], [8], [12], [11], [12], [12], [4, 4, 4], [4, 10]]
[[4, 4, 4], [8], [8], [12], [11], [10], [11], [], [10], [12], [10], [9], [10], [12], [12], [9], [4, 7]]
[[7], [10], [10], [], [9], [12], [9], [10], [], [11], [8], [12], [12], [10], [11], [12], [4, 8], [4, 4, 4]]
[[12], [10], [7], [], [], [9], [12], [10], [10], [], [11], [8], [9], [4, 4, 4], [10], [11], [12], [4, 8], [12]]
-EndAllocation

Instance: [[1], [166], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 10, 12, 12], [4, 8, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4], [12, 12, 12, 12, 12, 12], [4, 4, 8, 10, 12, 12, 12, 12]]
[[12], [8, 10, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 12, 12]]
[[12], [8, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10], [12, 12, 12], [12, 12, 12]]
[[], [10, 12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [8, 12, 12], [12, 12, 12]]
[[12], [8, 12, 12], [4, 4, 4, 4, 4, 4, 4], [10, 12], [12, 12], [12, 12], [12, 12]]
[[], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [8, 12], [12, 12]]
[[], [12], [12, 12], [8, 12], [4, 4, 4, 4, 4, 4], [12, 12], [4, 10], [12, 12], [12, 12]]
[[12], [10, 12], [4, 4, 12], [12], [12], [12], [8, 12], [4, 4, 12], [4, 12], [4, 4, 12]]
[[12], [10], [4, 4, 12], [4, 4, 12], [12], [8, 12], [12], [12], [12], [4, 4, 12], [4, 12]]
[[12], [12], [12], [12], [8, 10], [4, 12], [4, 12], [12], [4, 12], [4, 4, 4, 4], [12], [12]]
[[12], [12], [4, 12], [8], [12], [12], [12], [12], [10], [4, 4, 4, 4], [4, 12], [12], [4, 12]]
[[12], [12], [12], [12], [12], [12], [4, 4, 4], [10], [12], [4, 4, 4, 4], [12], [12], [8], [12]]
[[], [12], [12], [12], [12], [12], [8], [4, 4, 4], [12], [12], [4, 4, 4, 4], [12], [10], [12], [12]]
[[12], [12], [4, 8], [12], [4, 4, 4], [12], [], [4, 4], [12], [12], [12], [4, 10], [], [12], [12], [12]]
[[12], [], [12], [], [12], [12], [12], [8], [4], [10], [12], [4, 4, 4], [12], [12], [12], [12], [4, 4, 4]]
[[12], [12], [12], [8], [], [12], [12], [4], [12], [4, 4, 4], [10], [12], [], [12], [12], [4, 4, 4], [12], []]
[[], [4, 4, 4], [], [10], [12], [12], [12], [], [12], [4], [12], [12], [12], [12], [8], [12], [4, 4, 4], [], [12]]
-EndAllocation

Instance: [[1], [165], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 8, 9, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [9, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 8, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 8, 9], [12, 12, 12, 12], [12, 12, 12, 12]]
[[9], [12, 12, 12], [12, 12, 12], [8, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 12]]
[[], [4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [9, 12, 12], [8, 12, 12], [12, 12, 12]]
[[], [12, 12], [8, 12, 12], [4, 4, 12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 9]]
[[], [12, 12], [12, 12], [12, 12], [8, 12], [12, 12], [9, 12], [4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12], [4, 4, 4, 4, 9], [8], [12, 12], [4, 4, 4], [12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 12], [12], [9, 12], [8, 12], [4, 12], [12], [12], [4, 4, 12], [4, 4, 12]]
[[12], [4, 4, 9], [8, 12], [12], [12], [4, 4, 12], [4, 12], [12], [12], [4, 4, 12], [12]]
[[12], [4, 12], [12], [4, 12], [12], [4, 12], [8], [4, 12], [12], [4, 4, 9], [4, 12], [12]]
[[12], [12], [12], [12], [12], [9], [4, 4, 4, 4], [12], [12], [4, 4, 8], [12], [12], [4, 12]]
[[12], [12], [12], [9], [12], [4, 4, 4], [8], [12], [12], [12], [4, 4, 4, 4], [12], [12], [12]]
[[12], [9], [12], [12], [12], [4, 4, 4], [12], [4], [12], [12], [12], [8], [12], [4, 4, 4], [12]]
[[12], [12], [12], [12], [], [12], [12], [4, 4, 4], [12], [12], [12], [12], [4, 4, 4], [8], [4], [9]]
[[12], [4, 4, 4], [12], [12], [], [12], [4, 4, 4], [12], [12], [4, 8], [12], [], [12], [12], [], [12], [9]]
[[], [12], [12], [4], [12], [4, 4, 4], [12], [9], [12], [12], [], [12], [12], [12], [8], [12], [], [4, 4, 4]]
[[12], [12], [4, 8], [12], [12], [], [12], [12], [4, 4, 4], [], [12], [9], [], [4, 4, 4], [], [12], [], [12], [12]]
-EndAllocation

Instance: [[1], [164], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 6, 10, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 10, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4, 12, 12], [12, 12, 12, 12], [6, 10, 12, 12, 12]]
[[12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 10]]
[[], [4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [6, 10, 12], [12, 12, 12]]
[[12], [6, 12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12], [6, 12], [12, 12], [12, 12], [4, 12, 12], [4, 4, 12], [4, 4, 4, 4, 10]]
[[], [10, 12], [4, 4, 4, 4, 4, 4], [12, 12], [6, 12], [4], [12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 12], [10, 12], [4, 4, 12], [6, 12], [12], [12], [12], [4, 12], [4, 4, 12]]
[[12], [4, 4, 12], [4, 12], [4, 4, 12], [12], [4, 4, 10], [6, 12], [12], [12], [12], [12]]
[[12], [4, 12], [12], [4, 4, 4, 4], [12], [12], [12], [6, 12], [12], [4, 4, 10], [12], [12]]
[[12], [12], [12], [10], [12], [12], [4, 4, 4, 4], [12], [12], [4, 12], [12], [12], [4, 4, 6]]
[[12], [12], [12], [10], [12], [4, 4, 4], [12], [12], [6], [12], [4, 4, 4, 4], [12], [12], [12]]
[[10], [12], [12], [12], [12], [4, 4, 4], [6], [4], [12], [12], [12], [12], [12], [4, 4, 4], [12]]
[[12], [12], [12], [12], [], [10], [12], [4, 4, 4], [12], [12], [12], [12], [4, 4, 4], [6], [4], [12]]
[[12], [], [12], [12], [], [12], [4, 4, 4], [12], [12], [4, 4, 4], [12], [], [10], [4, 6], [12], [12], [12]]
[[], [12], [6], [4], [12], [4, 4, 4], [], [12], [12], [12], [10], [12], [12], [12], [12], [12], [], [4, 4, 4]]
[[12], [6], [4, 4, 4], [12], [12], [], [12], [10], [4, 4, 4], [], [12], [], [], [4], [12], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [163], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,19. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 11, 11, 11], [4, 6, 12, 12, 12, 12, 12, 12, 12, 12]]
[[11, 11], [12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 11, 12, 12]]
[[12], [4, 4, 4, 4, 4, 11, 11, 11], [12, 12, 12, 12], [4, 4, 6, 12, 12, 12]]
[[12, 12], [11, 11, 11], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6]]
[[], [4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [6, 12, 12], [11, 11, 11]]
[[], [6, 12, 12], [4, 4, 4, 12], [4, 4, 12, 12], [12, 12], [11, 12], [4, 4, 11, 11]]
[[], [11, 12], [6, 12], [12, 12], [12, 12], [12, 12], [11, 11], [4, 4, 4, 4, 4, 4, 4]]
[[], [11, 12], [4, 4, 4, 4, 4, 4], [11, 11], [6, 12], [4], [12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 12], [12], [12], [6, 11], [4, 4, 12], [4, 12], [12], [4, 4, 12], [11, 11]]
[[11], [4, 4, 11], [4, 12], [4, 4, 12], [12], [4, 4, 12], [6, 11], [12], [12], [12], [12]]
[[12], [11], [12], [4, 4, 4, 4], [12], [4, 12], [11], [6, 12], [12], [4, 12], [4, 11], [12]]
[[12], [12], [12], [4, 4, 4], [11], [12], [4, 11], [12], [11], [4, 12], [12], [12], [4, 4, 6]]
[[12], [11], [12], [11], [11], [4, 4, 4], [12], [12], [6], [12], [4, 4, 4, 4], [12], [12], [12]]
[[12], [12], [12], [12], [12], [4, 4, 4], [6], [4], [12], [12], [11], [11], [12], [4, 4, 4], [11]]
[[12], [12], [12], [12], [11], [], [12], [4, 4, 4], [12], [11], [12], [12], [4, 4, 4], [6], [4], [11]]
[[12], [], [12], [11], [], [12], [4, 4, 4], [11], [12], [4, 4, 4], [12], [], [12], [4, 6], [12], [11], [12]]
[[], [12], [11], [4], [12], [4, 4, 4], [6], [12], [12], [12], [], [12], [12], [12], [11], [11], [], [4, 4, 4]]
[[12], [6], [4, 4, 4], [12], [12], [11], [], [12], [4, 4, 4], [], [12], [11], [], [4], [], [12], [11], [12], [12]]
-EndAllocation

Instance: [[1], [180], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[7, 9, 9, 9, 12, 12, 12, 12, 12], [5, 6, 6, 8, 8, 8, 8, 8, 8, 10, 11]]
[[10, 12, 12], [7, 9, 9, 9, 11, 12, 12], [5, 6, 6, 8, 8, 8, 8, 8, 8, 12]]
[[11, 12, 12, 12, 12], [5, 6, 6, 7], [8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 12]]
[[5, 6, 6, 10, 12], [], [12, 12, 12, 12], [8, 8, 8, 8, 8, 8], [7, 9, 9, 9, 11]]
[[6, 6, 8, 8], [5, 8, 8], [8, 10], [7, 8, 12, 12], [9, 9, 9, 11], [12, 12, 12]]
[[5, 6, 6, 12], [8, 8, 12], [12, 12], [], [7, 9, 9, 9], [10, 11, 12], [8, 8, 8, 8]]
[[6, 8, 8, 8], [5, 8, 8, 8], [6, 11], [7, 10, 12], [12, 12], [9, 9, 9], [], [12, 12]]
[[8, 8, 8], [5, 6, 6, 7], [10, 12], [12, 12], [11], [9, 9], [9], [12, 12], [8, 8, 8]]
[[5, 7, 9], [10, 11], [], [9, 9], [6, 6, 12], [8, 8, 8], [12, 12], [12, 12], [], [8, 8, 8]]
[[9, 12], [6, 12], [5, 12], [8, 8], [8, 8], [10, 11], [6, 8, 8], [7], [9, 9], [12], [12]]
[[5, 6], [7, 9], [8, 8], [12], [8, 8], [6, 12], [12], [12], [12], [9, 10], [9, 11], [8, 8]]
[[7, 9], [6, 6], [5, 12], [8, 8], [8, 8], [12], [12], [10], [11], [8, 8], [12], [9, 9], [12]]
[[8, 8], [8, 8], [12], [6, 7], [5, 12], [12], [6, 9], [9], [12], [9], [10], [11], [12], [8, 8]]
[[5, 6], [12], [9], [8, 8], [8, 8], [], [12], [6, 10], [12], [11], [7, 9], [12], [9], [12], [8, 8]]
[[5, 6], [8, 8], [12], [8, 8], [8, 8], [11], [7, 9], [6], [10], [], [12], [9], [12], [9], [12], [12]]
[[12], [12], [5, 8], [6, 8], [6, 8], [12], [8], [11], [7], [9], [9], [8], [12], [10], [12], [8], [9]]
[[11], [12], [6, 7], [9], [8], [8], [12], [10], [8], [8], [9], [8], [12], [12], [9], [12], [5, 6], [8]]
[[5, 7], [8], [8], [6, 6], [8], [], [10], [11], [9], [8], [12], [8], [12], [9], [9], [12], [12], [12], [8]]
[[9], [], [8], [8], [5, 7], [8], [8], [6, 6], [12], [12], [8], [12], [12], [10], [12], [], [8], [9], [9], [11]]
-EndAllocation

Instance: [[1], [179], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 11, 11, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 9, 9, 9, 9, 9, 10, 12, 12, 12], [7, 7, 8, 8, 8, 8, 8, 11, 11]]
[[6, 6, 7, 7, 10, 11, 11, 12], [9, 9, 9, 9, 9, 12, 12], [8, 8, 8, 8, 8]]
[[10, 11, 12, 12, 12], [6, 6, 7, 7], [8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 11]]
[[6, 6, 7, 7, 9, 10], [11], [12, 12, 12], [8, 8, 8, 8, 8], [9, 9, 9, 9, 11]]
[[7, 7, 9, 9], [9], [6, 6, 12], [8, 8, 8, 8, 8], [9, 9, 11, 11], [10, 12, 12]]
[[8], [8, 8, 8, 8], [10, 12, 12], [7, 11, 11], [7, 9, 9, 9], [9, 9, 12], [6, 6]]
[[8, 8], [8, 8, 8], [7, 7, 10], [9, 9, 11], [12, 12], [9, 9, 11], [9, 12], [6, 6]]
[[9], [8, 8], [8, 8, 8], [6, 6, 11], [11, 12], [7, 7, 9], [9, 9], [9, 12], [10, 12]]
[[6, 6, 10], [11, 11], [7, 7, 9], [9, 12], [9], [8, 8], [12], [12], [8, 8, 8], [9, 9]]
[[7, 11], [6, 12], [6, 7], [8, 8], [8, 8], [9, 9], [8], [9, 11], [9, 9], [10, 12], [12]]
[[9, 11], [6, 10], [8], [8, 8], [6, 11], [12], [9, 9], [8, 8], [7, 12], [9, 9], [7, 12], []]
[[8, 8], [8, 8], [6, 8], [7, 7], [12], [12], [11], [11], [12], [10], [9, 9], [9, 9], [6, 9]]
[[9], [8], [8, 8], [8, 8], [7, 9], [12], [6, 9], [7, 10], [12], [12], [6, 9], [11], [11], [9]]
[[6, 8], [6, 10], [7, 9], [8, 8], [11], [12], [12], [11], [9], [], [9], [12], [9], [8, 8], [7, 9]]
[[6, 9], [7, 7], [8], [8, 8], [11], [11], [10], [9], [9], [9], [], [12], [12], [12], [6, 9], [8, 8]]
[[10], [9], [7, 7], [6, 8], [9], [6, 8], [12], [9], [12], [8], [11], [11], [8], [8], [12], [9], [9]]
[[11], [10], [8], [6, 7], [6, 7], [9], [9], [9], [12], [8], [8], [9], [12], [8], [12], [11], [9], [8]]
[[6, 6], [7], [11], [7], [9], [9], [8], [8], [9], [8], [11], [9], [12], [8], [9], [12], [12], [10], [8]]
[[9], [8], [8], [8], [6, 6], [9], [9], [10], [11], [7], [9], [9], [12], [12], [11], [12], [8], [], [8], [7]]
-EndAllocation

Instance: [[1], [178], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [11, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [12, 12, 12], [6, 6, 11, 11, 12], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 11, 11, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [6, 6, 12, 12], [6, 12, 12]]
[[11, 11], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [12, 12], [11, 11], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 6], [6, 6, 6, 6], [11, 11], [6, 6, 6, 6], [12, 12]]
[[], [12, 12], [12, 12], [], [12, 12], [6, 6, 6, 6], [11, 11], [6, 6, 12], [6, 6, 6, 6], [12]]
[[12], [6, 6, 6], [6, 6, 6], [6, 12], [12], [6, 12], [12], [12], [11, 11], [6, 12], [6, 12]]
[[11], [6, 6, 6], [12], [6, 6, 6], [12], [12], [6, 12], [11], [6, 12], [6, 12], [12], [6, 12]]
[[], [12], [6, 12], [11], [6, 12], [6, 6, 6], [12], [12], [11], [12], [6, 12], [6, 12], [6, 6, 6]]
[[12], [6, 11], [12], [6, 6], [12], [6, 6], [12], [6, 6], [12], [12], [6, 11], [12], [12], [6, 6]]
[[12], [12], [12], [6, 6], [6, 6], [6, 6], [11], [12], [11], [12], [6, 6], [12], [12], [6, 6], [12]]
[[12], [], [12], [11], [11], [12], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12]]
[[12], [6, 6], [12], [6, 6], [12], [12], [12], [6, 6], [12], [], [11], [12], [], [12], [11], [6, 6], [6, 6]]
[[], [11], [6, 6], [12], [], [12], [12], [6, 6], [12], [12], [], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6]]
[[], [], [12], [12], [12], [], [12], [], [6, 6], [11], [12], [12], [12], [6, 6], [11], [6, 6], [12], [6, 6], [6, 6]]
[[12], [6, 6], [6, 6], [12], [11], [6, 6], [], [11], [6, 6], [12], [12], [], [], [12], [12], [], [12], [6, 6], [], [12]]
-EndAllocation

Instance: [[1], [177], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 10], [6, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10], [11, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [10, 11, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [10, 12, 12, 12], [6, 6, 11, 12], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [11, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [6, 6, 6, 12], [6, 10, 12, 12]]
[[11], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [10, 12, 12], [12, 12]]
[[], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [10, 12], [11, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 6], [6, 6, 6, 6], [10, 11], [6, 6, 6, 6], [12, 12]]
[[], [12, 12], [12, 12], [], [12, 12], [6, 6, 6, 6], [11], [10, 12], [6, 6, 6, 6], [6, 6, 12]]
[[12], [6, 6, 6], [6, 6, 6], [6, 12], [12], [12], [12], [6, 12], [6, 11], [10, 12], [6, 12]]
[[12], [6, 6, 6], [12], [6, 6, 6], [12], [12], [6, 10], [11], [6, 12], [6, 12], [12], [6, 12]]
[[], [12], [6, 12], [12], [6, 12], [6, 6, 6], [12], [12], [11], [12], [6, 10], [6, 12], [6, 6, 6]]
[[12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [6, 11], [12], [12], [6, 10], [6, 6], [12], [12]]
[[12], [12], [12], [6, 6], [6, 6], [6, 6], [12], [10], [11], [12], [6, 6], [12], [12], [6, 6], [12]]
[[12], [10], [12], [], [11], [12], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12]]
[[12], [6, 6], [12], [6, 6], [12], [12], [12], [6, 6], [12], [], [11], [12], [6, 6], [12], [], [10], [6, 6]]
[[], [12], [6, 6], [10], [], [12], [12], [6, 6], [12], [12], [], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6]]
[[], [], [12], [12], [12], [], [12], [10], [6, 6], [11], [12], [12], [12], [6, 6], [], [6, 6], [12], [6, 6], [6, 6]]
[[12], [6, 6], [6, 6], [12], [11], [6, 6], [], [10], [6, 6], [12], [12], [], [], [12], [12], [], [12], [6, 6], [], [12]]
-EndAllocation

Instance: [[1], [176], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 4, 5, 6, 7, 8, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[7, 8, 11, 11, 11, 12], [2, 2, 3, 4, 5, 6, 10, 12, 12, 12, 12, 12, 12, 12]]
[[5, 6, 12], [3, 4, 7, 8, 10, 11, 11, 11, 12], [2, 2, 12, 12, 12, 12, 12, 12]]
[[12, 12], [4, 11, 11, 11, 12], [5, 6, 7, 8, 10, 12], [2, 2, 3, 12, 12, 12, 12]]
[[10], [2, 2, 5, 6, 12, 12], [3, 4, 11, 11, 11], [12, 12, 12, 12], [7, 8, 12, 12]]
[[], [7, 8, 12, 12], [2, 2, 3, 12, 12], [11, 11, 11], [5, 6, 10, 12], [4, 12, 12, 12]]
[[], [3, 5, 12, 12], [4, 7, 8, 12], [6, 12, 12], [10, 12], [2, 2, 12, 12], [11, 11, 11]]
[[12], [8, 12], [5, 7, 12], [11, 11], [3, 6, 11], [12, 12], [4, 12, 12], [2, 2, 10, 12]]
[[], [3, 10, 12], [12, 12], [11, 11], [5, 8, 12], [4, 12], [7, 12], [2, 2, 6, 11], [12, 12]]
[[], [12, 12], [11, 11], [2, 2, 3, 7, 10], [12, 12], [8, 12], [5, 12], [12, 12], [4, 6, 11], []]
[[12], [2, 2, 5, 12], [10, 11], [8, 12], [12], [12], [12], [4, 6, 11], [3, 11], [7, 12], [12]]
[[12], [6, 12], [12], [2, 2, 11], [12], [8, 11], [12], [10], [7, 12], [5, 11], [4, 12], [3, 12]]
[[12], [4, 11], [5, 10], [12], [6, 12], [12], [7, 8], [11], [12], [12], [2, 2, 12], [12], [3, 11]]
[[12], [12], [12], [3, 12], [12], [5, 8], [12], [11], [7], [10], [4, 12], [11], [2, 2, 12], [6, 11]]
[[12], [5, 11], [2, 2, 8], [12], [3, 11], [11], [10], [7], [12], [12], [6], [12], [12], [4, 12], [12]]
[[12], [12], [12], [4, 5], [7], [12], [2, 2, 8], [3, 6], [11], [12], [11], [10], [11], [12], [12], [12]]
[[12], [4, 6], [12], [12], [11], [11], [2, 2, 7], [5], [12], [8], [3, 11], [12], [10], [12], [12], [12], []]
[[12], [3], [12], [12], [12], [2, 2], [12], [12], [12], [12], [11], [10], [11], [4, 6], [8], [11], [5], [7]]
[[12], [], [2, 2], [4, 7], [12], [12], [6], [11], [10], [11], [3], [12], [5, 8], [12], [12], [], [12], [11], [12]]
[[12], [12], [8], [11], [4], [10], [12], [12], [12], [], [12], [5, 7], [], [2, 2], [], [3, 6], [11], [11], [12], [12]]
-EndAllocation

Instance: [[1], [175], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[11, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 10, 12, 12, 12, 12, 12, 12]]
[[10, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 11, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12, 12], [6, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10, 12], [11, 12, 12, 12]]
[[12], [10, 12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11], [4, 6, 12, 12, 12]]
[[], [12, 12, 12], [6, 12, 12], [10, 12, 12], [11, 12, 12], [4, 4, 4, 4, 4, 4, 4, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [6, 12, 12], [11, 12], [12, 12], [10, 12]]
[[12], [4, 4, 4, 4, 11], [12, 12], [12, 12], [6, 12], [12, 12], [12, 12], [4, 4, 4, 10]]
[[], [10], [12, 12], [4, 6, 12], [12, 12], [12, 12], [11, 12], [12, 12], [4, 4, 4, 4, 4, 4]]
[[], [12, 12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [11], [4, 6, 12], []]
[[12], [6, 12], [4, 4, 12], [4, 12], [4, 4, 12], [10, 11], [12], [12], [12], [12], [4, 4, 12]]
[[12], [12], [10], [4, 4, 12], [6, 12], [11], [12], [4, 12], [4, 4, 12], [12], [12], [4, 4, 12]]
[[12], [12], [12], [6, 12], [12], [12], [12], [11], [4, 10], [4, 4, 4, 4], [12], [4, 12], [4, 12]]
[[12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [6, 11], [12], [12], [10], [4, 4, 4], [12]]
[[12], [12], [4, 4, 6], [12], [12], [4, 4, 4, 4], [11], [12], [12], [10], [12], [12], [12], [], [4, 12]]
[[12], [12], [12], [12], [12], [4, 4, 4], [6], [4], [12], [12], [4, 4, 4], [10], [12], [12], [12], [11]]
[[12], [12], [12], [6], [12], [4, 4, 4], [12], [4], [10], [12], [], [4, 4, 4], [12], [12], [12], [11], [12]]
[[12], [12], [12], [12], [12], [12], [12], [6], [4, 4, 4], [10], [4], [12], [12], [11], [], [12], [4, 4, 4], []]
[[11], [12], [6], [], [12], [12], [12], [12], [4, 4, 4], [12], [4], [12], [], [10], [12], [], [12], [12], [4, 4, 4]]
[[], [12], [12], [12], [12], [12], [12], [], [4, 4, 4], [12], [11], [4, 4, 4], [12], [10], [4], [12], [6], [12], [], []]
-EndAllocation

Instance: [[1], [174], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 6, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[11, 11, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 10, 12, 12, 12, 12, 12, 12]]
[[10, 12, 12], [4, 4, 4, 4, 4, 4, 4, 6, 11, 11, 12], [12, 12, 12, 12, 12, 12]]
[[12], [6, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10, 12], [11, 11, 12, 12, 12]]
[[], [10, 12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11, 11], [4, 6, 12, 12, 12]]
[[12], [12, 12, 12], [6, 12, 12], [10, 12, 12], [11, 11, 12], [4, 4, 4, 4, 4, 4, 4]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [6, 12, 12], [11, 11], [12, 12], [10, 12]]
[[12], [4, 11, 11], [4, 4, 12], [12, 12], [6, 12], [12, 12], [12, 12], [4, 4, 4, 4, 10]]
[[], [10], [12, 12], [4, 6, 12], [12, 12], [12, 12], [11, 11], [12, 12], [4, 4, 4, 4, 4, 4]]
[[], [12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [11, 11], [4, 6, 12], []]
[[12], [6, 12], [4, 4, 12], [10, 11], [4, 11], [4, 4, 12], [12], [12], [12], [12], [4, 4, 12]]
[[11], [12], [10], [4, 4, 12], [6, 12], [11], [4, 4, 12], [12], [4, 12], [12], [12], [4, 4, 12]]
[[12], [12], [12], [6, 12], [12], [12], [12], [11], [4, 10], [4, 4, 4, 4], [11], [4, 12], [4, 12]]
[[12], [12], [11], [12], [11], [4, 4, 4, 4], [12], [6, 10], [12], [12], [12], [12], [4, 4, 4], [12]]
[[12], [12], [4, 4, 6], [12], [12], [4, 4, 4, 4], [11], [12], [12], [10], [12], [12], [12], [], [4, 11]]
[[12], [12], [12], [12], [12], [4, 4, 4], [6], [4], [12], [11], [4, 4, 4], [10], [12], [12], [12], [11]]
[[12], [12], [12], [6], [12], [4, 4, 4], [12], [4], [10], [12], [], [4, 4, 4], [11], [12], [12], [11], [12]]
[[12], [11], [12], [12], [12], [12], [12], [6], [4, 4, 4], [10], [4], [12], [12], [11], [], [12], [4, 4, 4], []]
[[11], [12], [6], [], [12], [12], [12], [12], [4, 4, 4], [12], [4], [12], [], [10], [12], [], [12], [11], [4, 4, 4]]
[[], [12], [12], [12], [], [12], [12], [], [4, 4, 4], [12], [11], [4, 4, 4], [12], [10], [4], [12], [6], [12], [], [11]]
-EndAllocation

Instance: [[1], [173], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[11, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 12, 12, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 12], [11, 12, 12, 12]]
[[12], [10, 12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11], [4, 4, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [10, 12, 12], [11, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [11, 12], [12, 12], [10, 12]]
[[], [4, 4, 4, 4, 11], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 10]]
[[], [10], [12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [4, 4, 12], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [11], [12, 12], []]
[[12], [4, 4, 12], [4, 4, 12], [10, 11], [12], [4, 4, 12], [12], [12], [12], [12], [4, 4, 12]]
[[12], [12], [10], [4, 4, 12], [12], [11], [12], [4, 4, 12], [4, 4, 12], [12], [12], [4, 4, 12]]
[[12], [12], [12], [4, 12], [12], [12], [12], [11], [4, 10], [4, 4, 4, 4], [12], [4, 12], [4, 12]]
[[12], [12], [11], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [10], [4, 4, 4, 4], [12]]
[[12], [12], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [11], [12], [12], [10], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [12], [4, 4, 4], [12], [4, 4], [12], [12], [4, 4, 4], [10], [12], [12], [], [11]]
[[12], [12], [12], [12], [12], [4, 4, 4], [12], [4, 4], [10], [12], [], [4, 4, 4], [], [12], [12], [11], [12]]
[[12], [12], [12], [12], [12], [12], [], [12], [4, 4, 4], [10], [4, 4], [12], [12], [11], [], [12], [4, 4, 4], []]
[[11], [12], [12], [], [], [12], [12], [12], [4, 4, 4], [12], [4, 4], [12], [], [10], [12], [], [12], [12], [4, 4, 4]]
[[], [12], [12], [12], [], [12], [12], [], [4, 4, 4], [12], [11], [4, 4, 4], [12], [10], [4, 4], [12], [12], [12], [], []]
-EndAllocation

Instance: [[1], [172], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,20. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,20:
-StartAllocation
[[12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 12, 12, 12, 12, 12]]
[[10, 10, 12], [4, 4, 4, 4, 4, 4, 4, 4, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10], [12, 12, 12, 12]]
[[12], [10, 10, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 12], [4, 4, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [10, 10, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [10, 10, 12]]
[[], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 10, 10]]
[[], [10, 10], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 12], [10, 10], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [], [12, 12], [12]]
[[12], [4, 4, 12], [4, 4, 12], [10, 10], [12], [4, 4, 12], [12], [12], [12], [12], [4, 4, 12]]
[[12], [12], [10, 10], [4, 12], [12], [12], [4, 4, 4, 4, 4], [12], [12], [12], [12], [4, 4, 12]]
[[12], [12], [12], [4, 12], [12], [12], [12], [12], [4, 4, 10], [4, 4, 4, 4], [12], [10], [4, 12]]
[[10], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [10], [4, 4, 4, 4], [12]]
[[12], [10], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [12], [12], [12], [10], [12], [12], [12], [], [12]]
[[12], [12], [12], [], [12], [4, 4, 4], [12], [4, 4], [12], [12], [4, 4, 4], [10], [12], [12], [10], [12]]
[[12], [12], [12], [10], [12], [4, 4, 4], [12], [4, 4], [10], [12], [], [4, 4, 4], [], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [], [12], [4, 4, 4], [10], [4, 4], [12], [], [12], [10], [12], [4, 4, 4], []]
[[12], [12], [12], [], [], [12], [12], [12], [4, 4, 4], [4, 4], [10], [12], [], [10], [12], [], [12], [12], [4, 4, 4]]
[[], [12], [12], [12], [], [12], [12], [], [4, 4], [12], [4, 4, 4], [4, 4, 4], [12], [10], [10], [12], [12], [12], [], []]
-EndAllocation

Instance: [[1], [189], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 11, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4], [4, 10, 10, 10, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [10, 10, 10, 12, 12], [4, 4, 4, 4, 4, 4, 4, 11, 12, 12]]
[[12], [12, 12, 12, 12], [10, 10, 10, 12], [4, 4, 4, 4, 4, 4, 4, 11], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 12], [12, 12, 12], [10, 10, 10, 11]]
[[], [11, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [10, 10, 10], [12, 12, 12], [12, 12, 12]]
[[12], [11, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [10, 10, 10], [12, 12], [12, 12], [12, 12]]
[[], [11, 12], [12, 12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [10, 10]]
[[], [4, 4, 4, 4, 4, 4], [4, 12], [12, 12], [10, 10], [12, 12], [10, 12], [12, 12], [11], [12, 12]]
[[], [12, 12], [10, 10], [4, 4, 4, 4, 4, 4], [12, 12], [4, 11], [12, 12], [12, 12], [10, 12], [12], []]
[[12], [10, 11], [4, 12], [12], [12], [12], [10, 10], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12]]
[[12], [12], [12], [10, 10], [11], [4, 12], [4, 4, 12], [12], [12], [4, 4, 10], [12], [4, 4, 12], [12]]
[[11], [12], [12], [4, 12], [12], [4, 4, 10], [12], [12], [12], [10], [4, 12], [4, 4, 10], [4, 12], [12]]
[[12], [4, 10], [12], [12], [12], [12], [12], [4, 12], [4, 4, 4, 4], [10], [12], [10], [4, 12], [11], [12]]
[[12], [12], [12], [12], [4, 4, 4, 4], [12], [10], [12], [11], [12], [12], [4, 4, 4], [12], [12], [10], [10]]
[[12], [4, 4, 4, 4], [12], [12], [11], [12], [12], [12], [], [12], [4, 12], [12], [10], [12], [4, 10], [4, 10], []]
[[12], [12], [12], [10], [12], [12], [12], [], [12], [10], [4, 4, 4], [4, 4, 4], [12], [4, 10], [12], [11], [], [12]]
[[12], [12], [12], [10], [10], [4, 4, 4], [12], [], [12], [4, 4, 4], [12], [12], [12], [12], [10], [12], [], [11], [4]]
[[12], [], [12], [10], [4], [12], [10], [12], [12], [12], [10], [], [12], [12], [12], [], [4, 4, 4], [11], [4, 4, 4], [12]]
[[12], [], [12], [12], [10], [12], [4], [12], [10], [], [12], [12], [10], [], [4, 4, 4], [12], [], [12], [12], [11], [4, 4, 4]]
-EndAllocation

Instance: [[1], [188], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 12], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5], [5, 5, 5, 5, 6, 10, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 10, 12], [12, 12, 12, 12, 12], [6, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 10], [12, 12, 12, 12], [12, 12, 12, 12], [6, 12, 12, 12]]
[[], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [6, 12, 12, 12], [12, 12, 12]]
[[], [10, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 6, 12, 12], [12], [12, 12, 12]]
[[12], [5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [6, 12, 12], [12, 12], [10, 12]]
[[], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [6, 12], [5, 5, 5, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 6, 10], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [], [6], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 10], [5, 12], [12], [5, 12], [12], [6, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [6, 12], [5, 5, 5, 5], [5, 10], [12]]
[[12], [5, 5, 5], [12], [5, 12], [10], [12], [6, 12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12]]
[[10], [12], [5, 12], [12], [5, 5, 5], [12], [6], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12]]
[[10], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5], [6], [12]]
[[12], [12], [12], [6], [12], [12], [5], [], [12], [12], [5, 10], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5]]
[[12], [12], [6], [5, 5], [5, 5], [5, 5], [10], [], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [12], [5, 5], [5, 5], [12], [10], [5, 5], [], [12], [12], [12], [12], [5, 5], [], [12], [12], [6], [12]]
[[], [10], [5, 5], [12], [12], [6], [12], [12], [], [12], [12], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12]]
[[12], [], [], [12], [5], [12], [12], [10], [], [5, 5], [5, 6], [12], [], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12]]
-EndAllocation

Instance: [[1], [187], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 6, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 6, 6, 10, 10, 11, 12, 12, 12, 12]]
[[12, 12], [10, 10, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 6, 6, 11, 12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 10, 10, 12], [12, 12, 12, 12, 12], [6, 6, 11, 12, 12, 12]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [4, 4, 4, 4, 4, 4, 12, 12], [6, 6, 10, 10, 12]]
[[12], [10, 12, 12], [12, 12, 12], [11, 12, 12], [6, 6, 12, 12], [4, 4, 4, 4, 4, 4, 10]]
[[], [12, 12, 12], [12], [6, 6, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11], [10, 10, 12]]
[[12], [6, 6, 11], [12, 12], [12, 12], [12, 12], [12, 12], [10, 10, 12], [4, 4, 4, 4, 4, 4]]
[[], [10, 11], [12, 12], [6, 6, 12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12]]
[[], [12, 12], [6, 6, 12], [12], [12, 12], [10, 10], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [11]]
[[12], [4, 4, 12], [10, 12], [6, 12], [4, 4, 12], [6, 12], [4, 4, 12], [12], [11], [10, 12], [12]]
[[12], [4, 4, 12], [6, 12], [12], [4, 4, 12], [12], [10, 10], [12], [12], [4, 4, 12], [11], [6, 12]]
[[12], [4, 4, 4, 4, 4], [12], [4, 12], [12], [6, 12], [12], [12], [6, 12], [11], [12], [10, 10], [12]]
[[12], [12], [6, 12], [6, 12], [12], [4, 4, 10], [11], [10], [12], [12], [12], [4, 4, 4, 4], [12], [12]]
[[12], [12], [12], [12], [6, 6], [11], [12], [12], [4, 4, 4, 4], [4, 10], [4, 12], [12], [10], [12], [12]]
[[10], [12], [12], [10], [4, 12], [12], [12], [6, 6], [11], [12], [12], [4, 4, 4, 4], [12], [], [12], [4, 12]]
[[12], [10], [12], [12], [12], [12], [12], [4, 4, 4], [6, 6], [], [10], [12], [11], [4, 4, 4], [12], [12], [12]]
[[12], [6, 6], [12], [12], [12], [], [12], [10], [12], [], [4, 4, 4], [4, 4, 4], [11], [12], [10], [12], [12], [12]]
[[10], [4, 4, 4], [], [4, 4, 4], [11], [12], [12], [10], [12], [12], [], [], [12], [12], [12], [12], [6, 6], [12], [12]]
[[12], [12], [12], [12], [], [], [], [11], [12], [6, 6], [12], [10], [12], [], [4, 4, 4], [4, 4, 4], [12], [10], [12], [12]]
[[10], [12], [6, 6], [4, 4, 4], [12], [], [4, 4, 4], [], [12], [10], [], [12], [12], [], [12], [12], [12], [], [12], [12], [11]]
-EndAllocation

Instance: [[1], [186], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 6, 8, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 6, 6, 8, 11, 11, 12, 12, 12, 12]]
[[12, 12], [8, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 6, 6, 11, 11, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 12, 12, 12], [8, 12, 12, 12, 12], [6, 6, 11, 11, 12, 12]]
[[], [11, 11, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 12, 12], [6, 6, 8, 12, 12]]
[[12], [12, 12, 12], [12, 12, 12], [11, 11, 12], [6, 6, 12, 12], [4, 4, 4, 4, 4, 4, 8]]
[[], [12, 12, 12], [4, 4, 4, 8], [6, 6, 12, 12], [12, 12], [4, 4, 4, 11, 11], [12, 12, 12]]
[[12], [6, 6, 11], [12, 12], [12, 12], [12, 12], [8, 11, 12], [12, 12], [4, 4, 4, 4, 4, 4]]
[[], [11, 11], [12, 12], [6, 6, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [8, 12], [12, 12]]
[[], [12, 12], [6, 6, 12], [12, 12], [12, 12], [], [8, 12], [12, 12], [4, 4, 4, 4, 4, 4], [11, 11]]
[[12], [4, 4, 12], [12], [6, 12], [4, 6, 12], [8, 12], [4, 4, 12], [4, 12], [11, 11], [12], [12]]
[[12], [4, 4, 11], [6, 12], [12], [4, 4, 12], [8, 12], [12], [12], [12], [4, 4, 12], [11], [6, 12]]
[[12], [4, 4, 4, 4, 4], [11], [4, 12], [12], [6, 12], [12], [12], [8, 12], [11], [12], [12], [6, 12]]
[[12], [12], [6, 12], [6, 12], [12], [4, 4, 8], [11], [12], [12], [12], [12], [4, 4, 4, 4], [11], [12]]
[[12], [12], [11], [12], [6, 6], [11], [12], [12], [4, 4, 4, 4], [4, 12], [4, 12], [12], [12], [12], [8]]
[[12], [12], [12], [], [4, 12], [12], [8], [6, 6], [11], [12], [12], [4, 4, 4, 4], [12], [11], [12], [4, 12]]
[[12], [12], [12], [12], [12], [12], [12], [11], [6, 6], [], [12], [4, 4, 4], [11], [4, 4, 4], [12], [12], [8]]
[[12], [6, 6], [12], [12], [11], [], [12], [], [12], [4, 4], [4, 8], [4, 4, 4], [11], [12], [12], [12], [12], [12]]
[[12], [4, 4, 4], [], [4, 4, 4], [11], [12], [12], [12], [12], [12], [], [], [12], [12], [12], [12], [6, 6], [11], [8]]
[[12], [12], [12], [], [], [], [], [11], [12], [6, 6], [12], [8], [12], [11], [4, 4, 4], [4, 4, 4], [12], [12], [12], [12]]
[[], [12], [6, 6], [4, 4, 4], [12], [8], [4, 4, 4], [], [12], [12], [], [11], [12], [], [12], [12], [12], [], [12], [12], [11]]
-EndAllocation

Instance: [[1], [185], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[7, 7, 7, 7, 7, 8, 8, 10, 10], [5, 5, 5, 9, 9, 11, 11, 11, 12, 12, 12, 12]]
[[7, 7, 7, 7, 7, 8, 8], [9, 9, 10, 10, 11, 11, 11], [5, 5, 5, 12, 12, 12, 12]]
[[5, 7, 7, 8, 8], [7, 7, 7, 10, 10], [5, 5, 12, 12, 12, 12], [9, 9, 11, 11, 11]]
[[8, 8], [12, 12, 12, 12], [7, 7, 10, 10], [5, 5, 5, 9, 11, 11], [7, 7, 7, 9, 11]]
[[8, 8], [7, 11, 11, 11], [7, 7, 7, 9, 9], [5, 12, 12, 12], [5, 5, 7, 10, 10], [12]]
[[5, 5, 5, 8], [7, 11, 11], [12, 12, 12], [7, 7, 12], [7, 7, 9, 9], [10, 10, 11], [8]]
[[7, 7, 11], [7, 7, 7], [10, 10, 12], [5, 5, 5], [11, 11], [9, 9, 12], [8, 8], [12, 12]]
[[11], [5, 11], [8, 8], [5, 5, 7, 11], [12, 12], [7, 7, 7], [7, 10, 10], [9, 9], [12, 12]]
[[7, 12], [5, 8, 11], [5, 5, 8], [12], [12], [7, 9, 9], [11, 11], [12], [10, 10], [7, 7, 7]]
[[5, 12], [11, 11], [5, 5, 11], [7, 12], [8], [7, 12], [8], [10, 10], [12], [9, 9], [7, 7, 7]]
[[7, 11], [5, 8], [5, 5, 8], [7, 12], [11], [12], [9, 9], [12], [11], [12], [10, 10], [7, 7, 7]]
[[7], [12], [9, 9], [5, 5, 7], [8, 8], [5, 11], [7, 11], [12], [7, 7], [12], [11], [12], [10, 10]]
[[5, 5, 5], [7], [11], [9, 9], [8, 8], [12], [7, 11], [7, 7], [12], [11], [7, 10], [12], [10], [12]]
[[12], [8], [5, 5], [7, 7], [12], [11], [11], [7, 10], [12], [8, 9], [11], [10], [9], [7, 7], [5, 12]]
[[7, 7], [7], [5, 5, 5], [11], [8, 8], [7, 7], [12], [10], [12], [9], [11], [11], [10], [12], [9], [12]]
[[12], [12], [5, 9], [12], [5, 9], [10], [5], [7, 7], [8], [11], [7, 7], [11], [12], [11], [8], [10], [7]]
[[11], [11], [5, 7], [7, 7], [11], [5, 5], [9], [12], [9], [12], [12], [8], [7], [12], [10], [8], [7], [10]]
[[9], [5], [7], [7], [10], [12], [7], [11], [11], [9], [7], [12], [11], [7], [10], [12], [12], [5, 8], [5, 8]]
[[10], [5, 5], [5, 7], [7], [7], [12], [9], [12], [7], [8], [12], [10], [12], [11], [11], [11], [8], [], [9], [7]]
[[5, 7], [5, 5], [11], [7], [7], [7], [], [11], [], [8], [8], [12], [9], [12], [10], [12], [12], [11], [10], [9], [7]]
-EndAllocation

Instance: [[1], [184], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 11, 11, 12], [4, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [10, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 11, 11, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 12], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12]]
[[], [11, 11, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 12], [10, 12, 12, 12]]
[[12], [10, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12, 12], [4, 4, 4, 4, 4], [12, 12, 12], [12, 12], [4, 4, 4, 11, 11], [10, 12, 12]]
[[12], [11, 11], [4, 12, 12], [12, 12], [12, 12], [12, 12], [10, 12], [4, 4, 4, 4, 4, 4, 4]]
[[], [11, 11], [12, 12], [12, 12], [10, 12], [12], [4, 4, 4, 4, 4, 4, 4], [4, 12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [11, 12], [10], [12], [12, 12], [4, 4, 4, 4, 4, 4], [4, 4, 11]]
[[12], [4, 4, 12], [12], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [11, 11], [10, 12], [12]]
[[12], [4, 4, 12], [12], [12], [4, 4, 12], [12], [10, 11], [12], [12], [4, 4, 12], [4, 4, 11], [12]]
[[12], [12], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [11], [4, 12], [11], [4, 12], [12], [10]]
[[12], [12], [4, 12], [12], [12], [12], [11], [4, 4, 10], [12], [12], [4, 12], [4, 4, 4, 4], [11], [12]]
[[12], [12], [11], [12], [12], [11], [12], [12], [4, 4, 4, 4], [4, 12], [4, 4, 4], [12], [10], [12], [12]]
[[10], [12], [12], [], [4, 4, 4], [12], [12], [12], [11], [12], [12], [4, 4, 4, 4], [12], [11], [12], [4, 12]]
[[12], [12], [12], [12], [12], [12], [12], [11], [10], [], [4, 4], [4, 4, 4], [11], [4, 4, 4], [12], [12], [12]]
[[12], [4, 4, 4], [12], [12], [11], [], [12], [10], [12], [], [4, 4], [4, 4, 4], [11], [12], [12], [12], [12], [12]]
[[10], [4, 4], [], [4, 4, 4], [11], [12], [12], [12], [12], [12], [], [], [12], [12], [12], [12], [4, 4, 4], [11], [12]]
[[12], [4, 4], [12], [], [], [], [], [11], [12], [12], [12], [10], [12], [11], [4, 4, 4], [4, 4, 4], [12], [12], [12], [12]]
[[10], [12], [12], [4, 4, 4], [12], [4, 4], [4, 4, 4], [], [12], [12], [], [11], [12], [], [12], [12], [], [], [12], [12], [11]]
-EndAllocation

Instance: [[1], [183], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 11, 12, 12], [4, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [10, 10, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 11, 12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10], [12, 12, 12, 12, 12], [11, 12, 12, 12, 12]]
[[], [11, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 12], [10, 10, 12, 12]]
[[12], [10, 10, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12, 12], [4, 4], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 11], [10, 10, 12]]
[[12], [11, 12], [4, 12, 12], [12, 12], [12, 12], [12, 12], [10, 10], [4, 4, 4, 4, 4, 4, 4]]
[[], [10, 11], [12, 12], [12, 12], [10, 12], [12], [4, 4, 4, 4, 4, 4, 4], [4, 12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [10, 10], [], [12, 12], [4, 4, 4, 4, 4, 4], [4, 4, 11]]
[[12], [4, 4, 12], [10, 12], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [11], [10, 12], [12]]
[[12], [4, 4, 12], [12], [12], [4, 4, 12], [12], [10, 10], [12], [12], [4, 4, 12], [4, 4, 11], [12]]
[[12], [4, 4, 4, 4, 4], [12], [4, 4, 12], [12], [12], [12], [12], [4, 12], [11], [12], [10, 10], [12]]
[[12], [12], [4, 12], [12], [12], [10], [11], [4, 4, 10], [12], [12], [4, 12], [4, 4, 4, 4], [12], [12]]
[[12], [12], [12], [12], [12], [11], [12], [12], [4, 4, 4, 4], [4, 10], [4, 4, 4], [12], [10], [12], [12]]
[[10], [12], [12], [10], [4, 4, 4], [12], [12], [], [11], [12], [12], [4, 4, 4, 4], [12], [12], [12], [4, 12]]
[[12], [12], [12], [12], [12], [12], [12], [4, 4, 4], [10], [], [10], [4, 4], [11], [4, 4, 4], [12], [12], [12]]
[[12], [4, 4, 4], [12], [12], [12], [], [12], [10], [12], [], [4, 4], [4, 4, 4], [11], [12], [10], [12], [12], [12]]
[[10], [4, 4], [], [4, 4, 4], [11], [12], [12], [10], [12], [12], [], [], [12], [12], [12], [12], [4, 4, 4], [12], [12]]
[[12], [4, 4], [12], [12], [], [], [], [11], [12], [12], [12], [10], [12], [], [4, 4, 4], [4, 4, 4], [12], [10], [12], [12]]
[[10], [12], [12], [4, 4, 4], [12], [4, 4], [4, 4, 4], [], [12], [10], [], [12], [12], [], [12], [12], [], [], [12], [12], [11]]
-EndAllocation

Instance: [[1], [182], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[10, 11, 11, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12]]
[[6, 10, 12], [6, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11]]
[[12], [11, 11, 12, 12, 12], [6, 10, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [11, 11, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 10, 12]]
[[], [12, 12, 12], [11, 11, 12], [6, 6, 6, 6, 6, 10], [12, 12, 12], [6, 6, 6, 6, 6, 6]]
[[12], [12, 12], [6, 6, 11, 11], [6, 6, 6, 6, 10], [6, 6, 6, 6, 6], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 11, 11], [10, 12], [12, 12]]
[[], [6, 6, 6, 10], [12], [11, 11], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12, 12]]
[[], [11, 11], [12, 12], [6, 6, 10], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12], [6], [12, 12]]
[[12], [6, 12], [6, 6, 6], [6, 12], [12], [12], [6, 6, 6], [11, 11], [12], [10, 12], [6, 6, 6]]
[[11], [6, 11], [10], [12], [6, 12], [6, 6, 6], [6, 6, 6], [6, 12], [6, 12], [12], [12], [6, 12]]
[[11], [12], [12], [12], [6, 11], [12], [6, 6, 6], [12], [6, 6, 6], [10], [6, 12], [6, 6, 6], [12]]
[[12], [12], [6, 10], [12], [12], [6, 6], [6, 11], [12], [12], [6, 6], [6, 6], [6, 6], [12], [6, 11]]
[[12], [12], [6, 6], [6, 6], [11], [12], [11], [6, 10], [6, 6], [6, 6], [12], [12], [6, 6], [12], [12]]
[[12], [12], [12], [12], [6, 6], [11], [6, 6], [], [6, 6], [6, 10], [12], [11], [12], [12], [6, 6], [6, 6]]
[[11], [6], [6, 6], [], [12], [11], [12], [12], [12], [12], [6, 6], [12], [12], [6, 6], [6, 6], [10], [6, 6]]
[[12], [12], [6, 6], [12], [12], [6, 6], [11], [], [6, 6], [], [12], [12], [11], [6, 6], [12], [10], [6], [6, 6]]
[[], [12], [12], [12], [10], [11], [6, 6], [], [6, 6], [12], [12], [12], [6, 6], [6, 6], [], [11], [6, 6], [6], [12]]
[[12], [6, 6], [], [10], [11], [12], [], [12], [12], [6, 6], [6, 6], [6, 6], [6, 6], [], [12], [12], [12], [6], [11], []]
[[], [10], [11], [12], [12], [], [6], [12], [6, 6], [6, 6], [11], [12], [], [12], [], [6, 6], [12], [12], [], [6, 6], [6, 6]]
-EndAllocation

Instance: [[1], [181], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,21. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,21:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 11, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 11, 12]]
[[], [12, 12], [5, 5, 12, 12], [5, 5, 12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 11], [12, 12]]
[[], [5, 12, 12], [5, 12, 12], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [12], [5, 11, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [11, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [11], [5, 5, 5, 5, 5], [12, 12], [12, 12], []]
[[12], [12], [5, 5, 12], [5, 5, 11], [5, 5, 12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [12]]
[[11], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [12], [5, 12]]
[[12], [12], [5, 5, 5], [12], [12], [11], [12], [5, 12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12]]
[[11], [], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [], [12], [12], [12], [5], [12], [5, 5, 5], [12], [11], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12]]
[[11], [12], [5, 5], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [12], [12], [5, 5], [], [11], [5, 5], [5, 5], [12], [12], [12], [5, 5], [5, 5], [12]]
[[], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [12], [11], [12]]
[[12], [12], [12], [5, 5], [12], [12], [], [12], [12], [12], [11], [], [5, 5], [12], [], [5, 5], [5, 5], [], [5, 5], [12]]
[[12], [12], [5, 5], [12], [], [12], [], [], [12], [5, 5], [], [12], [5, 5], [11], [5, 5], [12], [5, 5], [12], [], [12], [12]]
-EndAllocation

Instance: [[1], [198], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 4, 6, 6, 6, 8, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 3, 4, 6, 6, 6, 8, 10, 11, 11], [2, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [3, 4, 6, 6, 6, 8, 10, 10, 12, 12], [2, 2, 11, 11, 11, 12, 12, 12, 12]]
[[], [2, 2, 4, 6, 8, 10, 10, 12, 12], [3, 6, 11, 11, 11, 12, 12], [6, 12, 12, 12, 12, 12]]
[[], [2, 2, 6, 6, 6, 12, 12], [3, 10, 10, 12, 12], [4, 12, 12, 12, 12], [8, 11, 11, 11, 12]]
[[], [4, 12, 12, 12], [2, 2, 8, 10, 10, 11], [12, 12, 12], [12, 12, 12], [3, 6, 6, 6, 11, 11]]
[[], [12, 12], [3, 11, 11, 12], [6, 6, 6, 8, 11], [2, 2, 10, 10, 12], [4, 12, 12], [12, 12, 12]]
[[], [10, 10, 12], [4, 6, 6, 6], [3, 12, 12], [8, 12, 12], [12, 12], [2, 2, 12, 12], [11, 11, 11]]
[[], [8, 12], [6, 11, 11], [6, 10, 10], [12, 12], [2, 2, 12, 12], [3, 11, 12], [12, 12], [4, 6, 12]]
[[], [6, 6, 6], [12, 12], [4, 12], [12, 12], [10, 10], [12, 12], [8, 12], [2, 2, 11, 11], [3, 11, 12]]
[[], [2, 2, 11], [12, 12], [3, 8], [12, 12], [11, 11], [12, 12], [12, 12], [10, 10], [4, 12], [6, 6, 6]]
[[12], [11], [11, 11], [6, 12], [12], [12], [2, 2, 12], [10, 12], [6, 12], [4, 12], [10, 12], [3, 6, 8]]
[[12], [12], [12], [12], [10, 11], [6, 6, 6], [10, 11], [12], [8, 11], [3, 12], [4, 12], [12], [2, 2, 12]]
[[12], [11], [12], [11], [6, 6, 6], [4, 12], [12], [12], [12], [3, 12], [8, 12], [2, 2, 12], [10, 10], [11]]
[[12], [12], [11], [4, 12], [12], [3, 12], [12], [2, 2, 11], [6, 11], [12], [8, 10], [12], [12], [6, 6], [10]]
[[10], [12], [12], [12], [8], [3, 12], [12], [12], [6, 11], [4, 12], [11], [12], [11], [12], [2, 2, 10], [6, 6]]
[[11], [10], [6], [12], [2, 2, 12], [4, 12], [12], [11], [12], [12], [12], [6, 6], [3, 12], [8], [12], [11], [10]]
[[12], [12], [12], [4], [12], [12], [12], [11], [10], [6, 6], [3, 11], [12], [11], [2, 2, 8], [10], [12], [6], [12]]
[[12], [12], [12], [12], [8], [12], [11], [10], [2, 2], [12], [11], [12], [11], [4, 6], [3], [6, 6], [10], [12], [12]]
[[11], [10], [12], [11], [2, 2], [6, 6], [4], [12], [11], [10], [3], [6], [12], [8], [12], [12], [12], [12], [12], [12]]
[[12], [11], [4], [12], [2, 11], [12], [10], [6, 6], [12], [12], [], [8], [2, 11], [12], [12], [12], [12], [10], [], [], [3, 6]]
[[10], [], [11], [3], [12], [8], [11], [12], [12], [6], [12], [10], [4], [12], [2, 2], [6, 6], [12], [12], [12], [], [11], [12]]
-EndAllocation

Instance: [[1], [197], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [8, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [12, 12, 12, 12], [8, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [12, 12, 12], [5, 8, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12, 12], [12, 12, 12], [8, 12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [8, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [8, 12]]
[[], [5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 8], [12, 12]]
[[], [5, 12], [12, 12], [5, 5, 5, 5], [12, 12], [8, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [12], [12], [12], [12], [8, 12], [5, 5, 12], [5, 12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [5, 12], [8, 12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 5, 5, 5], [8, 12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [12], [5, 12], [8], [12], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [8], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5], [5, 5, 5], [12], [], [12], [12], [12], [5, 8], [12], [12], [12], [12], [12]]
[[8], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [12], [8], [12], [5], [12], [5, 5]]
[[12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [], [], [12], [12], [12], [5, 5], [5, 8]]
[[12], [5, 5], [12], [5, 5], [12], [], [12], [12], [12], [12], [], [], [], [12], [5, 5], [12], [12], [5, 8], [5, 5], [12], [12]]
[[12], [5, 5], [], [12], [12], [8], [5], [12], [12], [5, 5], [], [12], [], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12]]
-EndAllocation

Instance: [[1], [196], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12]; Results for m' = 2,...,22. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13, 13, 12], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 9, 9, 12, 12], [6, 6, 6, 7, 10, 10, 10, 10, 11, 11, 11, 11]]
[[5, 8, 8, 8, 8, 8, 9, 9], [11, 11, 11, 11, 12, 12], [6, 6, 6, 7, 10, 10, 10, 10]]
[[5, 9, 9, 10, 12], [8, 8, 8, 8, 8], [7, 11, 11, 11, 11], [6, 6, 6, 10, 10, 10, 12]]
[[5, 8, 8, 8, 8, 8], [9, 9, 11, 11, 11], [11], [10, 10, 10, 10, 12], [6, 6, 6, 7, 12]]
[[5, 7, 9, 9], [6, 6, 6], [8, 8, 8, 8, 8], [11, 11, 11, 11], [10, 10, 10, 10], [12, 12]]
[[5, 6, 6, 6, 9], [9, 10, 11], [11, 11, 11], [12, 12], [8, 8, 8, 8], [7, 10, 10, 10], [8]]
[[10, 10, 10], [8, 8, 8, 8], [5, 9, 9, 10], [12, 12], [11, 11, 11], [8], [6, 6, 6], [7, 11]]
[[5, 9, 10], [7, 10], [8, 8, 10], [12, 12], [11, 11], [8, 8, 8], [10], [11, 11], [6, 6, 6, 9]]
[[7], [8, 8, 8], [8, 8], [5, 6, 9], [9, 10], [12, 12], [6, 6, 10], [11, 11], [11, 11], [10, 10]]
[[5, 9, 9], [6, 6, 6], [12, 12], [11, 11], [], [8, 8], [10, 10], [8, 8, 8], [11, 11], [10, 10], [7]]
[[5, 8, 8], [12], [8], [9, 12], [8, 8], [10, 10], [], [11, 11], [10, 10], [11, 11], [6, 7], [6, 6, 9]]
[[8, 12], [5, 8, 8], [9, 9], [7, 11], [], [6, 6, 6], [10, 10], [12], [11], [10, 10], [11], [11], [8, 8]]
[[5, 11], [8, 10], [8, 8], [8, 8], [6, 10], [11], [7, 11], [11], [12], [9], [6, 10], [9], [6, 12], [10]]
[[7, 10], [8, 10], [8, 8], [6, 6, 6], [9, 9], [5, 11], [12], [11], [11], [11], [12], [10], [10], [], [8, 8]]
[[8, 8], [5, 9], [6, 9], [6, 10], [8, 8], [7, 10], [10], [11], [12], [8], [11], [11], [12], [], [6, 11], [10]]
[[7, 9], [8, 8], [], [8, 8], [6, 10], [5, 10], [10], [6, 6], [11], [11], [9], [10], [12], [12], [11], [11], [8]]
[[10], [12], [10], [10], [6, 8], [11], [6, 8], [10], [11], [11], [12], [5, 9], [7], [8], [9], [8], [6, 8], [11]]
[[5, 9], [6, 8], [12], [11], [9], [10], [11], [10], [10], [11], [7], [6, 6], [12], [8], [10], [8], [11], [8], [8]]
[[10], [8], [10], [8], [10], [11], [9], [5], [8], [6, 6], [9], [11], [11], [12], [11], [10], [8], [6, 7], [12], [8]]
[[10], [11], [5], [10], [12], [8], [8], [6], [9], [9], [8], [10], [8], [12], [11], [11], [7], [11], [10], [6, 6], [8]]
[[8], [5], [7], [6, 6], [8], [8], [11], [11], [10], [9], [8], [12], [10], [11], [], [10], [12], [11], [10], [6], [9], [8]]
-EndAllocation

Instance: [[1], [195], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 5, 5, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 8, 8, 8, 8, 9, 10, 10, 11], [1, 2, 5, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12]]
[[10, 10, 12, 12, 12, 12], [5, 5, 10, 12, 12], [1, 2, 8, 8, 8, 8, 8, 9, 9, 11, 11]]
[[12], [1, 2, 11, 12, 12, 12, 12], [5, 10, 10, 10, 11, 12], [5, 8, 8, 8, 8, 8, 9, 9]]
[[12], [1, 2, 10, 11, 11, 12], [10, 12, 12, 12], [9, 9, 10, 12], [5, 5, 8, 8, 8, 8, 8]]
[[8, 8], [8, 10], [5, 5, 9, 9, 12], [10, 10, 11, 11], [8, 12, 12, 12], [1, 2, 8, 12, 12]]
[[], [1, 8, 12, 12], [2, 8, 8, 8, 10], [5, 5, 10, 12], [8, 11, 12], [10, 12, 12], [9, 9, 11]]
[[12], [5, 5, 10, 10], [12, 12], [8, 8, 8], [8, 10, 12], [1, 9, 12], [11, 11], [2, 8, 9, 12]]
[[], [9, 9, 10], [8, 12], [11, 12], [1, 5, 11, 12], [10, 12], [5, 10, 12], [2, 8, 12], [8, 8, 8]]
[[12], [10, 12], [8, 9], [5, 5, 8, 8], [12], [2, 11, 12], [9, 10], [12, 12], [1, 8, 8], [10, 11]]
[[], [10, 12], [5, 5, 11], [9, 10], [9, 12], [12, 12], [1, 12], [8, 8], [11], [8, 8, 8], [2, 10, 12]]
[[], [8, 11], [5, 10], [9, 11], [1, 8, 9], [2, 8, 12], [10, 12], [10, 12], [12], [12], [8, 12], [5, 8]]
[[12], [10], [12], [1, 5, 5, 9], [8, 12], [12], [11], [8, 9], [12], [8, 11], [8, 10], [2, 8, 10], [12]]
[[12], [12], [11], [12], [8, 10], [8, 10], [12], [12], [9, 9], [11], [8, 10], [2, 5, 5], [12], [1, 8, 8]]
[[10], [10], [12], [8, 9], [1, 12], [12], [8, 9], [11], [11], [10], [2, 12], [8, 8], [5, 8], [12], [5, 12]]
[[12], [5, 5], [8, 9], [8, 9], [11], [10], [12], [1, 2, 12], [10], [8], [8, 8], [11], [12], [12], [12], [10]]
[[10], [11], [1, 8], [9], [12], [8, 8], [5, 11], [8], [2, 12], [12], [8], [12], [10], [12], [12], [9], [5, 10]]
[[8], [5, 8], [11], [8], [2, 9], [10], [10], [12], [12], [9], [12], [12], [10], [11], [1, 12], [12], [5, 8], [8]]
[[10], [8], [12], [11], [8], [12], [12], [5, 8], [8], [10], [12], [12], [5], [9], [2, 9], [12], [1, 10], [11], [8]]
[[11], [8], [2, 8], [12], [5], [5], [12], [8], [8], [8], [12], [12], [10], [12], [10], [11], [9], [1, 12], [9], [10]]
[[11], [10], [9], [12], [], [5, 8], [12], [8], [1, 2], [12], [5], [12], [11], [10], [8], [9], [12], [10], [8], [8], [12]]
[[12], [8], [2], [], [8], [8], [9], [11], [8], [12], [10], [10], [12], [12], [9], [12], [5], [12], [8], [1, 10], [11], [5]]
-EndAllocation

Instance: [[1], [194], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], []]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12]]
[[12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 5, 5]]
[[12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5], [12], [12], [12], [], [12]]
[[], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [5, 5], [], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [], [5, 5]]
[[12], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [], [5, 5], []]
[[12], [12], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [], [], [12], [5, 5], [5, 5], [12], [12], [], [], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [193], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11]]
[[], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[], [5, 5, 12, 12], [12, 12, 12], [5, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [11, 12], [5, 12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 11]]
[[], [5, 5, 11], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12], [12, 12], []]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 11], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12]]
[[12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 11], [5, 12], [5, 12], [12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [5, 12], [5, 5, 5], [11], [12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 5, 5]]
[[12], [5, 12], [12], [12], [12], [12], [5, 5], [12], [5, 11], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [11], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [11], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5], [12], [12], [12], [], [12]]
[[], [11], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12]]
[[12], [11], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [5, 5], [], [12], [12], [12], [5, 5], [12]]
[[], [12], [12], [12], [], [12], [11], [5, 5], [12], [12], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5]]
[[12], [5, 5], [12], [12], [11], [12], [12], [], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [], [5, 5], []]
[[12], [12], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [], [], [11], [5, 5], [5, 5], [12], [12], [], [], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [192], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[10, 10, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11]]
[[12, 12], [9, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [10, 10, 11, 11, 12]]
[[12], [9, 10, 12, 12], [10, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[12], [5, 5, 5, 11, 11], [12, 12, 12], [9, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 10]]
[[], [5, 5, 5, 5, 5, 5, 5], [9, 10, 12], [10, 12, 12], [5, 5, 11, 11], [12, 12, 12], [12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 9], [10, 10, 12], [12, 12], [11, 11], [12, 12], [12, 12]]
[[12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5, 5], [11, 11], [9, 12], [10, 10], [12, 12], [12, 12]]
[[], [10, 12], [5, 5, 5, 10], [5, 9, 12], [12, 12], [11, 11], [12, 12], [12, 12], [], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [11, 11], [5, 12], [12, 12], [10, 12], [9, 10], [], [12, 12]]
[[12], [12], [11], [12], [10, 11], [9, 12], [5, 5, 5, 5], [5, 12], [5, 5, 10], [5, 12], [5, 12], [12]]
[[12], [5, 5, 5, 5], [12], [11], [12], [5, 12], [10, 10], [11], [5, 12], [5, 12], [5, 12], [9], [5, 12]]
[[11], [5, 12], [5, 12], [12], [12], [5, 10], [5, 9], [5, 10], [12], [12], [5, 5, 5], [5, 11], [12], [12]]
[[12], [12], [5, 5, 5], [5, 12], [12], [12], [5, 12], [10], [11], [5, 5, 5], [5, 10], [11], [9], [12], [12]]
[[11], [12], [12], [10], [12], [11], [5, 5, 5], [12], [10], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [9]]
[[], [5, 5, 5], [5], [9], [5, 5, 5], [12], [12], [11], [12], [12], [12], [12], [12], [12], [10], [5, 11], [5, 10]]
[[12], [11], [12], [12], [10], [12], [5, 5], [5], [5, 5], [10], [12], [5, 5], [5, 5], [9], [12], [11], [12], [12]]
[[], [12], [], [10], [12], [10], [11], [12], [11], [12], [5, 9], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [5, 5]]
[[9], [12], [11], [12], [], [12], [], [12], [10], [5], [5, 5], [11], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [10]]
[[12], [5], [], [11], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [10], [], [10], [12], [9], [11], [5, 5], [5, 5], [12]]
[[], [5, 5], [12], [12], [12], [10], [10], [11], [12], [9], [5, 5], [12], [], [5, 5], [5], [], [11], [], [12], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [191], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [9, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[12], [12, 12, 12], [5, 5, 9, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [5, 5, 5, 9, 12]]
[[12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [9, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12, 12], [5, 12, 12], [9, 12], [5, 12, 12], [5, 5]]
[[], [12, 12], [9, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [], [9, 12], [5, 5, 5, 5], [5, 5], [12, 12], [12, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 12], [9, 12]]
[[12], [5, 12], [12], [5, 5, 9], [12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [5, 12], [12], [12], [5, 9], [5, 12], [12], [12]]
[[12], [12], [12], [12], [9], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 12]]
[[12], [12], [12], [9], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5], [12]]
[[12], [], [12], [], [12], [12], [12], [5, 9], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [9], [5, 5], [12], [5, 5], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [12], [9], [12], [5, 5], [5, 5], [12], [12], [12], [], [5, 5], [12], [], [5, 5], [12], [12], [12], [5, 5], [12]]
[[12], [12], [], [5, 5], [9], [5, 5], [12], [12], [], [], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12]]
[[12], [], [12], [12], [], [9], [5, 5], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [5, 5], [12], [12]]
[[12], [12], [12], [], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [], [12], [9], [5, 5], [], [], [12], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [190], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,22. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 11, 12, 12], [5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 5, 10, 11, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 10, 11, 12, 12, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 12, 12]]
[[], [10, 12, 12, 12], [4, 4, 4, 4, 4, 4, 12, 12], [4, 4, 5, 11, 12, 12], [12, 12, 12, 12]]
[[12], [10, 11, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [5, 12, 12, 12]]
[[], [12, 12, 12], [10, 11, 12], [5, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12]]
[[12], [12, 12], [12, 12], [10, 11], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [5, 12, 12]]
[[], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [10, 12], [4, 5, 11], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [10, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [5, 12], [4, 4], [12, 12], [11, 12]]
[[], [10, 12], [12, 12], [12, 12], [12], [12, 12], [11, 12], [], [4, 4, 5], [4, 4, 4, 4, 4, 4], [12, 12]]
[[12], [4, 4, 12], [4, 5, 12], [4, 4, 12], [12], [12], [4, 12], [12], [12], [4, 4, 12], [10, 11], [12]]
[[12], [4, 4, 12], [5, 12], [12], [4, 4, 12], [11], [4, 4, 12], [12], [4, 4, 10], [12], [12], [12], [12]]
[[12], [12], [12], [4, 4, 4, 4], [5, 12], [12], [12], [4, 12], [12], [11], [12], [4, 12], [4, 4, 10], [12]]
[[12], [10], [12], [12], [12], [12], [12], [12], [11], [4, 4, 4, 4], [4, 4, 4, 4], [12], [5, 12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [10], [4, 4, 4, 4], [12], [12], [12], [11], [12], [5], [4, 4, 4, 4]]
[[12], [12], [12], [12], [12], [10], [12], [12], [12], [5], [11], [12], [12], [4, 4, 4, 4], [], [4, 4, 4, 4], [12]]
[[12], [12], [12], [11], [10], [12], [12], [4, 4, 4], [5], [12], [12], [], [12], [4, 4], [12], [4, 4, 4], [12], [12]]
[[12], [4, 4, 4], [4, 4, 4], [12], [], [12], [12], [11], [12], [10], [], [12], [12], [12], [12], [12], [4, 4], [12], [5]]
[[12], [5], [], [12], [4, 4], [4, 4, 4], [12], [4, 4, 4], [10], [11], [12], [], [12], [12], [12], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [12], [], [], [12], [], [12], [12], [10], [4, 4, 4], [12], [4, 4], [], [5], [12], [4, 4, 4], [11], [12]]
[[], [12], [12], [12], [11], [], [12], [12], [12], [4, 4, 4], [12], [], [12], [], [12], [4, 4, 4], [], [10], [12], [5], [4, 4], [12]]
-EndAllocation

Instance: [[1], [207], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[9, 9, 9, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12], [4, 6, 6, 7, 7, 8, 8, 8, 8, 8]]
[[9, 9, 9, 10, 10, 10, 10, 10, 12], [4, 8, 8, 8, 8, 8], [6, 6, 7, 7, 12, 12, 12, 12]]
[[4, 8, 8, 8, 8, 8], [9, 12, 12, 12, 12, 12], [7, 7, 9, 10], [6, 6, 9, 10, 10, 10, 10]]
[[7, 7, 10, 10, 10, 10], [4, 8, 8, 8, 8, 8, 10], [9], [6, 6, 9, 9, 12], [12, 12, 12, 12]]
[[4, 8, 8, 8, 8, 8], [7, 7, 10], [9, 12, 12], [10, 10, 10, 10], [12, 12, 12], [6, 6, 9, 9]]
[[4, 9, 12], [], [12, 12, 12], [8, 8, 8, 8, 8], [6, 6, 7, 7], [10, 10, 10, 10], [9, 9, 10, 12]]
[[4, 10, 10, 10], [8], [9, 10, 12], [9, 9], [12, 12], [10, 12, 12], [6, 6, 7, 7], [8, 8, 8, 8]]
[[4, 9], [6, 6, 8, 8], [8, 8, 8], [10, 10], [7, 7], [9, 9, 12], [12, 12], [10, 10, 10], [12, 12]]
[[4, 10, 12], [7, 10], [8, 8, 8], [10, 10], [6, 6, 9], [8, 8, 12], [], [10, 12], [7, 9, 9], [12, 12]]
[[4, 9, 10], [7, 7, 10], [6, 6], [9, 9], [10, 10], [10, 12], [], [12, 12], [12, 12], [8, 8], [8, 8, 8]]
[[4, 9, 10], [12, 12], [8, 8], [], [], [10, 10], [10, 10], [12, 12], [6, 6, 12], [7, 7], [9, 9], [8, 8, 8]]
[[9, 12], [4, 6, 6], [8, 12], [10], [8, 8], [8, 12], [10, 10], [10], [9, 12], [9], [7, 7], [12], [8, 10]]
[[4, 8, 8], [12], [8, 8], [12], [10], [12], [8, 12], [7, 7], [9, 9], [10, 10], [6, 6], [10, 10], [9], [12]]
[[12], [8, 8], [4, 7], [12], [10], [12], [6, 7], [6, 10], [9, 9], [8, 10], [8, 9], [10], [12], [12], [8, 10]]
[[10], [4, 6, 6], [8, 9], [8, 8], [10], [12], [12], [12], [7, 7], [10], [10], [10], [12], [8, 9], [12], [8, 9]]
[[4, 9], [8, 8], [10], [8, 8], [12], [10], [6, 9], [6, 10], [7, 7], [12], [9], [8], [10], [12], [12], [10], [12]]
[[8, 8], [8, 8], [6, 9], [9], [6, 10], [10], [12], [10], [12], [9], [], [12], [12], [10], [10], [12], [7, 7], [4, 8]]
[[12], [9], [8], [12], [10], [9], [9], [7, 7], [10], [10], [10], [12], [12], [10], [12], [8], [6, 8], [4, 8], [6, 8]]
[[12], [4, 8], [10], [9], [6], [9], [6, 8], [12], [10], [10], [8], [12], [9], [10], [8], [7, 7], [8], [12], [10], [12]]
[[4, 8], [10], [6], [10], [10], [9], [9], [12], [8], [12], [10], [6, 7], [8], [12], [7], [8], [10], [12], [9], [12], [8]]
[[10], [4, 8], [9], [12], [12], [8], [8], [7], [8], [12], [9], [12], [7], [10], [6, 6], [], [12], [10], [9], [10], [10], [8]]
[[10], [], [], [9], [12], [9], [12], [12], [8], [8], [9], [12], [10], [10], [10], [8], [7], [7], [6, 6], [10], [8], [12], [4, 8]]
-EndAllocation

Instance: [[1], [206], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[8, 8, 8, 9, 9, 9, 10, 10, 10], [5, 6, 6, 6, 7, 7, 7, 11, 11, 11, 12, 12, 12, 12]]
[[8, 8, 8, 9], [9, 9, 11, 11, 11, 12, 12, 12], [5, 6, 6, 6, 7, 7, 7, 10, 10, 10, 12]]
[[8, 8, 9, 9, 9, 11], [5, 6, 6, 6], [7, 8, 12, 12, 12, 12], [7, 7, 10, 10, 10, 11, 11]]
[[9, 10, 10, 12, 12], [6, 6, 8, 8, 8, 10], [], [9, 9, 11, 11, 11], [5, 6, 7, 7, 7, 12, 12]]
[[8, 8, 8], [6, 6, 6, 7, 7, 12], [7, 9, 9], [11, 11, 11], [5, 10, 10, 10], [9, 12, 12, 12]]
[[7, 9, 10, 12], [9, 12, 12], [11, 11, 11], [8, 8, 8, 9], [], [10, 10, 12], [5, 6, 6, 6, 7, 7]]
[[7, 7, 7, 12], [8, 12], [10, 10, 10], [], [11, 11, 11], [5, 9, 9, 9], [12, 12], [6, 6, 6, 8, 8]]
[[7, 9, 12], [8, 8, 8], [10, 10, 10], [7, 7, 11], [12], [11], [9, 9, 11], [12, 12], [5, 6, 6, 6]]
[[11, 12], [7, 8, 8], [7, 8, 12], [12, 12], [7], [11], [10, 11], [10, 10], [9, 9, 9], [5, 6, 6, 6]]
[[8, 10], [7, 7, 7], [8, 11], [8, 12], [9, 12], [9, 9], [10, 10], [12, 12], [], [11, 11], [5, 6, 6, 6]]
[[5, 9, 9], [7, 7, 7], [8, 8, 8], [12, 12], [10, 11], [11, 11], [], [9], [10, 10], [], [12, 12], [6, 6, 6]]
[[5], [9, 12], [9, 9], [8, 12], [8, 8], [7, 7, 7], [11], [12], [11], [12], [10, 11], [10, 10], [6, 6, 6]]
[[7, 11], [8, 9], [12], [9, 9], [8, 8], [7, 10], [5, 7], [11], [11], [12], [10, 10], [12], [12], [6, 6, 6]]
[[10], [9], [6, 11], [11], [6, 6], [7, 10], [8, 10], [5, 11], [12], [12], [12], [12], [9, 9], [7, 7], [8, 8]]
[[8, 8], [8], [6, 6], [7, 9], [12], [9], [9], [12], [11], [12], [5, 10], [11], [7, 10], [7, 10], [6, 11], [12]]
[[5, 11], [6, 6], [7, 7], [9], [12], [8], [12], [10], [11], [12], [10], [9], [11], [12], [6, 9], [7, 10], [8, 8]]
[[7, 8], [10], [10], [9], [11], [7, 7], [9], [10], [9], [12], [12], [12], [8, 8], [11], [11], [12], [6, 6], [5, 6]]
[[9], [6, 8], [6, 8], [12], [11], [10], [12], [6], [9], [12], [11], [10], [5, 9], [7], [8], [10], [12], [7, 7], [11]]
[[9], [11], [10], [6, 6], [11], [11], [7], [7, 7], [12], [12], [12], [5, 8], [8], [10], [], [10], [9], [9], [12], [6, 8]]
[[8], [10], [12], [11], [6, 6], [6, 7], [11], [10], [9], [11], [8], [12], [12], [12], [7], [9], [7], [8], [10], [9], [5]]
[[12], [8], [8], [], [12], [6, 7], [7], [10], [9], [12], [9], [11], [], [7], [10], [12], [11], [11], [9], [6, 6], [10], [5, 8]]
[[9], [11], [11], [8], [], [8], [7], [8], [6, 6], [7], [9], [9], [12], [12], [10], [10], [12], [5], [10], [12], [11], [6], [7]]
-EndAllocation

Instance: [[1], [205], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 12], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]]
[[4, 4, 10, 10, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 12], [5, 7, 7, 11, 11]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8], [4, 7, 7, 12], [12, 12, 12, 12, 12], [5, 10, 10, 11, 11]]
[[4, 4, 5, 7, 7, 8, 8], [8, 8, 8, 8, 8, 8], [12], [10, 10, 11, 11, 12], [12, 12, 12, 12]]
[[4, 4, 5, 8, 8, 8], [7, 7], [8, 8, 8, 8, 8], [10, 10, 11, 11], [12, 12, 12], [12, 12, 12]]
[[4, 4, 5, 8, 8, 8], [12, 12, 12], [12, 12, 12], [8, 8, 8, 8, 8], [7, 7], [11, 11], [10, 10]]
[[4, 4, 5, 7, 12], [8, 8, 8, 8], [11, 11], [12], [12], [7, 12, 12], [10, 10, 12], [8, 8, 8, 8]]
[[4, 8, 8, 8], [4, 5, 7, 12], [8, 8, 12], [8, 12], [12], [7, 10, 10], [11, 11], [12], [8, 8, 12]]
[[4, 8, 8, 8], [4, 5, 8], [8, 8, 8], [12, 12], [12, 12], [11, 11], [12, 12], [], [10, 10], [7, 7, 8]]
[[8, 8, 8], [4, 4, 5, 7], [11, 11], [7, 12], [12], [], [12, 12], [12, 12], [10, 10], [8, 8], [8, 8, 8]]
[[4, 4, 5, 10], [7, 8, 8], [8, 8, 8], [], [], [12, 12], [], [11, 11], [10, 12], [7, 12], [12, 12], [8, 8, 8]]
[[4, 8, 8], [4, 8, 8], [8, 8], [8, 8], [7, 12], [12], [11], [7, 12], [12], [12], [11], [10, 10], [5, 12]]
[[4, 8, 8], [4, 11], [8, 8], [5, 12], [7, 7], [10, 10], [8, 8], [12], [12], [12], [11], [12], [12], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 12], [5, 11], [11], [12], [10], [4, 7, 7], [10], [12], [12], [12], [12], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 11], [5, 12], [12], [], [10], [12], [4, 12], [10], [11], [12], [12], [7, 7], [8, 8]]
[[4, 4], [8, 8], [8, 8], [8, 8], [12], [12], [12], [7, 10], [11], [], [11], [8, 8], [12], [12], [10], [5, 12], [7]]
[[5], [8, 8], [8, 8], [8, 8], [8, 8], [12], [], [10], [12], [11], [10], [11], [12], [12], [7], [12], [4, 4, 7], [12]]
[[12], [4, 10], [11], [12], [8], [12], [12], [7, 7], [12], [8], [12], [8], [8], [8], [8], [5, 8], [8], [4, 10], [11]]
[[4, 10], [4, 10], [12], [8], [11], [12], [12], [11], [12], [12], [12], [8], [8], [8], [8], [7, 7], [8], [8], [], [5, 8]]
[[5, 7], [12], [12], [7], [12], [12], [10], [12], [8], [8], [8], [11], [8], [8], [11], [8], [8], [12], [10], [8], [4, 4]]
[[12], [], [7], [8], [8], [8], [8], [8], [8], [10], [8], [12], [8], [11], [10], [7], [12], [11], [12], [12], [12], [4, 4, 5]]
[[8], [4, 5], [12], [7], [12], [8], [8], [8], [8], [8], [4], [11], [12], [12], [10], [11], [7], [8], [10], [12], [], [12], [8]]
-EndAllocation

Instance: [[1], [204], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 9, 10, 10, 11], [4, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 9], [4, 11, 12, 12, 12, 12, 12, 12], [4, 4, 10, 10, 12, 12, 12, 12, 12]]
[[11, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 10], [12, 12, 12, 12, 12]]
[[10], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 9, 10]]
[[], [12, 12, 12], [10, 10, 12, 12], [9, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 11], [12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [9, 10, 10, 11], [12, 12, 12], [12, 12]]
[[12], [12, 12], [12, 12], [9, 12, 12], [11, 12], [12, 12], [10, 10, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[12], [4, 9, 12], [11, 12], [12, 12], [12, 12], [10, 10], [12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12]]
[[], [4, 12, 12], [12, 12], [12, 12], [12, 12], [11], [9, 12], [4, 4, 4, 4, 4, 4, 4], [10, 10], [12, 12]]
[[], [9, 12], [4, 4, 4, 4, 4, 4], [10, 10], [12], [12, 12], [4, 4, 12], [11], [12, 12], [12, 12], [12, 12]]
[[12], [4, 4, 12], [9, 12], [4, 4, 12], [12], [12], [10, 12], [4, 4, 12], [4, 4, 12], [10, 12], [12], [11]]
[[12], [12], [4, 4, 12], [9, 12], [10, 10], [12], [12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [12], [11], [12]]
[[12], [4, 4, 12], [12], [12], [12], [10, 10], [12], [4, 12], [4, 4, 4, 4, 4], [9, 11], [12], [12], [12], [12]]
[[11], [12], [12], [12], [12], [12], [4, 4, 10], [4, 12], [4, 12], [9], [12], [4, 12], [12], [4, 12], [4, 4, 10]]
[[12], [12], [4, 12], [9], [4, 12], [11], [4, 4, 4, 4], [12], [10], [12], [12], [4, 12], [4, 12], [12], [12], [10]]
[[12], [10], [12], [11], [9], [10], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [12]]
[[12], [4, 4, 4], [12], [12], [12], [12], [9], [12], [], [12], [12], [12], [10], [4, 11], [10], [12], [12], [4, 4, 4, 4]]
[[9], [12], [12], [12], [12], [4, 4], [11], [12], [10], [10], [12], [4, 4, 4], [], [4, 4, 4], [12], [12], [12], [12], [12]]
[[12], [12], [10], [11], [12], [], [4, 4, 4], [12], [12], [12], [4, 4], [12], [12], [10], [4, 4, 4], [12], [9], [], [12], [12]]
[[12], [12], [12], [4, 4, 4], [12], [9], [10], [12], [4, 4], [12], [12], [12], [], [11], [12], [10], [12], [], [], [12], [4, 4, 4]]
[[], [12], [10], [12], [12], [4, 4, 4], [12], [], [12], [10], [], [4, 4], [12], [12], [12], [12], [9], [], [11], [12], [12], [4, 4, 4]]
[[12], [11], [], [12], [12], [], [12], [12], [4, 4], [12], [], [4, 4, 4], [12], [10], [], [12], [10], [12], [9], [], [12], [4, 4, 4], [12]]
-EndAllocation

Instance: [[1], [203], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 7, 8, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[3, 3, 3, 12, 12, 12, 12, 12], [3, 3, 3, 7, 8, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [3, 3, 3, 3, 3, 3, 7, 8, 8, 9, 10, 11, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [8, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 7, 8, 12, 12], [9, 10, 11, 12, 12, 12]]
[[], [7, 9, 12, 12, 12], [10, 12, 12, 12], [8, 8, 11, 12, 12], [3, 3, 3, 3, 3, 3, 12, 12, 12]]
[[12], [12, 12, 12], [3, 3, 3, 3, 3, 3, 7, 12], [12, 12, 12], [8, 12, 12, 12], [8, 9, 10, 11]]
[[], [12, 12, 12], [7, 8, 9, 12], [11, 12, 12], [8, 10, 12], [3, 3, 3, 3, 3, 3, 12], [12, 12, 12]]
[[12], [12, 12], [8, 9, 12], [7, 11, 12], [3, 3, 3, 3, 3, 3, 8], [12, 12], [12, 12], [10, 12, 12]]
[[], [12, 12], [3, 3, 10, 11], [3, 3, 12, 12], [3, 3, 12, 12], [12, 12], [7, 8, 12], [8, 12], [9, 12]]
[[], [3, 3, 3, 3, 3, 3, 8], [8, 9], [10, 12], [12, 12], [12, 12], [7, 12], [12, 12], [12, 12], [11, 12]]
[[], [12, 12], [8, 12], [12, 12], [3, 3, 3, 3, 3, 3], [11], [10, 12], [12, 12], [7, 12], [8, 9], [12, 12]]
[[12], [10, 12], [12], [9, 12], [7, 11], [3, 3, 3, 12], [8, 12], [12], [12], [3, 3, 3, 12], [12], [8, 12]]
[[12], [12], [12], [9, 12], [8, 12], [10, 11], [7, 12], [12], [12], [12], [8, 12], [3, 3, 3, 3, 3, 3], [12]]
[[12], [12], [11], [7, 12], [3, 3, 3, 3, 3, 3], [12], [12], [8, 12], [12], [12], [9, 10], [8, 12], [12], [12]]
[[12], [12], [12], [7], [3, 3, 12], [12], [8, 10], [3, 3, 12], [12], [11], [12], [12], [3, 3, 12], [12], [8, 9]]
[[12], [12], [7, 8], [12], [12], [12], [12], [3, 12], [12], [12], [12], [10], [3, 3, 3, 3, 3], [12], [8, 9], [11]]
[[12], [3, 8], [7, 8], [12], [12], [12], [12], [12], [10], [12], [12], [12], [12], [12], [3, 3, 3, 3, 3], [11], [9]]
[[12], [3, 3, 3, 3, 3], [12], [12], [12], [], [10], [7, 8], [8], [12], [12], [12], [9], [12], [3, 12], [12], [12], [11]]
[[12], [3, 11], [9], [3], [8], [10], [12], [12], [12], [12], [3, 3, 3, 3], [12], [12], [12], [12], [8], [12], [12], [7]]
[[12], [10], [12], [3, 3], [12], [8], [12], [12], [12], [11], [9], [12], [12], [12], [3, 3, 3, 3], [12], [7], [8], [], [12]]
[[12], [12], [12], [12], [8], [10], [12], [7], [12], [12], [12], [], [9], [12], [12], [11], [3, 3, 3, 3], [12], [3, 3], [], [8]]
[[], [12], [12], [12], [12], [], [], [8], [8], [3, 3, 3, 3], [12], [12], [12], [9], [12], [3], [12], [12], [3, 10], [11], [7], [12]]
[[12], [], [12], [3, 3], [12], [12], [12], [9], [10], [12], [12], [12], [], [12], [8], [12], [12], [3, 3, 3, 3], [11], [], [8], [], [7]]
-EndAllocation

Instance: [[1], [202], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 10, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4], [7, 11, 12, 12, 12, 12, 12, 12], [4, 4, 10, 10, 12, 12, 12, 12, 12]]
[[11], [7, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [7, 11, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10]]
[[], [7, 12, 12, 12], [10, 10, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 11], [12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [10, 10, 11], [12, 12, 12], [7, 12, 12]]
[[12], [12, 12], [12, 12], [7, 12, 12], [11, 12], [12, 12], [10, 10, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [4, 12, 12], [7, 11, 12], [12, 12], [12, 12], [10, 10], [12, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12]]
[[], [4, 12, 12], [12, 12], [7, 12], [12, 12], [11], [12, 12], [4, 4, 4, 4, 4, 4, 4], [10, 10], [12, 12]]
[[], [12, 12], [4, 4, 4, 4, 4, 4], [10, 10], [12], [12, 12], [4, 4, 12], [11], [12, 12], [12, 12], [7, 12]]
[[12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [12], [12], [10, 12], [7, 12], [4, 4, 12], [10, 12], [12], [11]]
[[12], [12], [4, 4, 12], [4, 4, 12], [10, 10], [12], [7, 12], [4, 4, 12], [4, 4, 12], [12], [12], [11], [12]]
[[12], [4, 4, 12], [12], [12], [12], [10, 10], [12], [4, 12], [4, 4, 4, 4, 4], [7, 11], [12], [12], [12], [12]]
[[12], [4, 4, 4, 4], [12], [12], [12], [7, 10], [12], [12], [4, 12], [10], [12], [4, 12], [12], [4, 12], [4, 11]]
[[12], [12], [4, 12], [12], [4, 12], [11], [4, 4, 4, 4], [12], [10], [12], [12], [4, 12], [4, 7], [12], [12], [10]]
[[12], [10], [12], [11], [12], [10], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [7]]
[[12], [4, 4, 4], [12], [12], [7], [12], [12], [12], [], [12], [12], [12], [10], [4, 11], [10], [12], [12], [4, 4, 4, 4]]
[[11], [12], [12], [12], [12], [4, 4], [10], [12], [10], [12], [12], [4, 4, 4], [], [4, 4, 4], [7], [12], [12], [12], [12]]
[[12], [12], [10], [11], [12], [], [4, 4, 4], [12], [12], [12], [4, 4], [12], [12], [10], [4, 4, 4], [7], [12], [], [12], [12]]
[[12], [12], [12], [4, 4, 4], [12], [7], [10], [12], [4, 4], [12], [12], [12], [], [11], [12], [10], [12], [], [], [12], [4, 4, 4]]
[[], [12], [7], [12], [12], [4, 4, 4], [12], [12], [12], [10], [], [4, 4], [12], [12], [12], [12], [], [], [11], [12], [10], [4, 4, 4]]
[[12], [11], [], [], [12], [], [12], [12], [4, 4], [12], [7], [4, 4, 4], [12], [10], [], [12], [10], [12], [12], [], [12], [4, 4, 4], [12]]
-EndAllocation

Instance: [[1], [201], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 5, 9, 9, 10, 11, 11, 12], [6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12]]
[[8, 8, 8, 8, 8, 8, 8, 9, 9, 10], [11, 11, 12, 12, 12, 12, 12], [4, 5, 6, 6, 6, 8]]
[[5, 6, 6, 6, 9, 9, 10, 11], [12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8], [4, 11]]
[[8, 8, 8, 8, 8, 8], [12], [5, 8, 8, 9, 9, 10], [6, 6, 6, 11, 11], [4, 12, 12, 12, 12]]
[[5, 9, 9, 10, 11], [8, 8, 8, 8, 8], [6, 6, 6, 8, 8, 8], [11, 12, 12], [], [4, 12, 12, 12]]
[[4, 10, 11, 12], [12, 12], [5, 12], [8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6, 11], [9, 9, 12]]
[[4, 6, 6, 6], [9, 9, 12], [11, 11], [], [10, 12, 12], [8, 8, 8, 8], [5, 12, 12], [8, 8, 8, 8]]
[[4, 6, 9, 9], [6, 12, 12], [5, 12], [], [12, 12], [11, 11], [8, 8, 8], [8, 8, 10], [6, 8, 8, 8]]
[[4, 5, 6, 6, 6], [10], [12, 12], [], [12, 12], [9, 9], [8, 8, 8], [8, 8, 8], [8, 8, 12], [11, 11]]
[[4, 8, 8], [6, 6, 6], [10, 11], [8], [5, 8, 8], [], [12, 12], [9, 9], [11, 12], [8, 8, 8], [12, 12]]
[[4, 5, 9], [8, 8], [8, 12], [8, 8], [6, 6, 6], [10], [9, 12], [12], [12], [11, 11], [8, 8], [8, 12]]
[[6, 6, 6], [4, 8, 8], [12], [12], [12], [5, 12], [11], [10, 11], [8, 8], [9, 9], [8, 8], [8, 8], [12]]
[[4, 12], [11], [11], [8, 8], [8, 8], [9, 9], [10], [5, 12], [12], [6, 6, 6], [12], [12], [8, 8], [8, 8]]
[[4, 12], [5, 11], [10], [11], [6, 6, 6], [12], [], [8, 8], [12], [8, 8], [8, 8], [8, 8], [12], [12], [9, 9]]
[[4, 5, 6], [9], [11], [12], [8, 8], [8, 8], [12], [12], [11], [12], [12], [8, 8], [6, 6], [8, 8], [10], [9]]
[[4, 8], [5], [11], [12], [12], [8, 8], [11], [8], [10], [12], [6, 9], [6, 6], [12], [8, 8], [8, 8], [12], [9]]
[[8, 8], [4, 10], [5], [12], [12], [8, 8], [12], [6, 6], [], [], [12], [9], [11], [11], [8, 8], [8, 8], [12], [6, 9]]
[[4, 8], [8], [11], [12], [6, 6], [12], [11], [9], [8], [8], [8], [10], [12], [12], [8], [12], [5, 8], [6, 8], [9]]
[[4, 9], [8], [8], [12], [5], [12], [8], [10], [8], [9], [8], [8], [12], [12], [11], [8], [12], [6, 6], [6, 8], [11]]
[[4, 8], [8], [12], [8], [12], [6], [9], [9], [6, 6], [8], [8], [8], [12], [5], [12], [11], [8], [11], [10], [8], [12]]
[[4, 6], [10], [8], [12], [6], [5, 6], [], [11], [8], [12], [8], [8], [12], [9], [8], [11], [12], [8], [9], [12], [8], [8]]
[[4, 6], [8], [12], [8], [8], [12], [11], [5], [], [6, 6], [8], [], [12], [8], [9], [10], [11], [12], [12], [8], [9], [8], [8]]
-EndAllocation

Instance: [[1], [200], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5], [5, 5, 5, 5, 6, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12]]
[[6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [6, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 12], [6, 12, 12], [12, 12, 12]]
[[12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [6, 12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5, 5], [6, 12, 12], [5, 12, 12], [12, 12], [5, 12, 12], [12, 12], [12], [5, 5, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [6]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5], [5, 5, 5, 6]]
[[12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [6, 12]]
[[12], [5, 12], [12], [5, 5, 5, 5], [6, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [5, 12]]
[[12], [6, 12], [5, 12], [12], [5, 5, 5, 5], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12]]
[[12], [12], [12], [5, 12], [5, 5, 6], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 6], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [6], [12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5], [12], [12], [12], [12], [12], [], [6], [12]]
[[12], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [6], [12], [12], [], [12]]
[[12], [5, 6], [5], [12], [12], [12], [12], [12], [], [], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [12]]
[[12], [], [12], [5, 5], [6], [], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [12]]
[[], [], [12], [], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], [12], [12], [12], [5, 5], [6], [12], [12]]
[[12], [12], [5, 5], [12], [5, 5], [], [12], [], [12], [], [12], [5, 5], [12], [12], [], [12], [12], [6], [], [12], [12], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [199], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,23. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13, 13, 13, 12], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 4, 4, 4, 4, 9, 10, 10, 11, 11], [4, 4, 4, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 8, 12, 12, 12, 12], [9, 10, 10, 11, 11, 12, 12, 12]]
[[12], [10, 10, 11, 11, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 12], [12, 12, 12, 12, 12]]
[[10], [4, 4, 4, 4, 4, 4, 4, 11, 11], [4, 8, 12, 12, 12], [10, 12, 12, 12], [9, 12, 12, 12]]
[[11], [12, 12, 12], [12, 12, 12], [9, 10, 10, 11], [4, 4, 4, 4, 4, 4, 4, 4, 8], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [4, 10, 11, 11], [10, 12, 12], [4, 4, 4, 4, 4, 9], [4, 4, 8, 12]]
[[], [4, 4, 4, 4, 4, 10], [9, 12, 12], [8, 12, 12], [4, 12, 12], [12, 12], [4, 4, 11, 11], [10, 12]]
[[12, 12], [11, 11], [10, 10], [4, 12], [12, 12], [4, 4, 4, 4, 4, 8], [9, 12], [12, 12], [4, 4, 12]]
[[], [12, 12], [12, 12], [8, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [11, 11], [9, 10], [4, 4, 10]]
[[], [12, 12], [8, 12], [4, 4, 4, 4, 4, 4], [12, 12], [11, 11], [12, 12], [4, 4, 12], [12], [10], [9, 10]]
[[12], [4, 4, 4, 9], [8, 12], [12], [12], [11, 11], [4, 4, 12], [4, 4, 12], [12], [10, 10], [4, 12], [12]]
[[10, 11], [10, 11], [12], [12], [9, 12], [12], [12], [8, 12], [12], [4, 4, 4, 4], [4, 4, 4, 4], [12], [12]]
[[12], [12], [12], [9, 11], [8, 12], [12], [4, 4, 4, 4, 4], [10], [12], [10], [12], [11], [4, 4, 12], [4, 12]]
[[12], [10], [4, 12], [4, 12], [4, 4, 4, 4], [12], [9], [12], [12], [8, 10], [12], [12], [4, 12], [11], [4, 11]]
[[11], [12], [12], [4, 12], [4, 4, 8], [12], [12], [12], [9], [10], [12], [4, 4, 4, 4], [4, 10], [12], [12], [11]]
[[9], [11], [12], [8], [12], [10], [12], [4, 4, 4, 4], [12], [12], [12], [12], [10], [12], [11], [4, 4, 4, 4], [12]]
[[11], [12], [12], [4, 10], [10], [4, 12], [4, 4], [], [12], [12], [12], [4, 4, 4], [4, 11], [12], [12], [8], [9], [12]]
[[], [4, 9], [12], [4, 4, 4], [4, 10], [], [8], [12], [12], [12], [12], [11], [12], [11], [12], [10], [12], [12], [4, 4, 4]]
[[12], [12], [4, 9], [11], [], [12], [10], [4, 4, 4], [4, 8], [12], [12], [], [4, 4, 4], [11], [12], [12], [12], [10], [], [12]]
[[12], [12], [12], [4, 4], [9], [12], [11], [4, 4, 4], [], [], [12], [4, 4, 4], [8], [12], [12], [12], [10], [10], [11], [], [12]]
[[], [12], [9], [4], [4, 4, 4], [12], [8], [4, 4, 4], [11], [], [12], [12], [11], [], [10], [12], [12], [12], [12], [10], [12], [4]]
[[12], [], [11], [12], [12], [12], [4, 4], [12], [12], [], [10], [10], [12], [4, 4, 4], [9], [], [], [8], [12], [], [11], [12], [4, 4, 4]]
-EndAllocation

Instance: [[1], [216], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 10], [5, 5, 5, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12], [10, 12, 12]]
[[12], [5, 5, 5, 5, 12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [10, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [], [12, 12], [10, 12], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [10, 12], [12], [12], [12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 10], [5, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 5, 10], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [12], [10], [5, 12], [5, 12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 10], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5], [12], [12], [10], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [10], [5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [12], [10], [5, 5], [12], [12], [12], [5, 5]]
[[12], [10], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [], [12], [12], [12]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [10], [12], [12], [], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12]]
[[10], [], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [5, 5], [], [12]]
[[12], [5, 5], [10], [5, 5], [5, 5], [], [5, 5], [12], [], [], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [215], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12, 12]]
[[], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 9, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12], [9, 12, 12]]
[[12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 12], [], [5, 5, 5, 9], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [], [12, 12], [12, 12], [9, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [12], [9, 12]]
[[12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [5, 12], [9, 12], [5, 12], [12], [5, 12], [5, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [5, 12], [9], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [9], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [9], [12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [5, 9], [12], [12], [], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [9], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [9], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [], [], [12], [12], [9]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [], [12], [12], [12], [9], [12], [5, 5], [12], [12], [5, 5], [12]]
[[], [], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [5, 5], [9], [12]]
[[12], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [12], [], [9], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [], [12], [12]]
-EndAllocation

Instance: [[1], [214], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [9, 12, 12, 12, 12]]
[[], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 11, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 9, 12]]
[[], [11, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12], [9, 12, 12]]
[[12], [5, 5, 5, 5, 12], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12]]
[[], [12, 12], [12, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 12], [], [5, 5, 5, 9], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12, 12]]
[[], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [11], [12, 12], [12, 12], [9, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [11], [9, 12]]
[[12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [9, 12], [5, 12], [12], [5, 12], [12], [11]]
[[12], [5, 12], [12], [12], [11], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [5, 12], [9], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [9], [12], [5, 12], [5, 12], [12], [11], [5, 5, 5]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [9], [12], [12], [5, 12], [12], [11], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 11], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [5, 9], [12], [12], [], [12], [12], [12], [5, 5]]
[[12], [12], [12], [11], [12], [], [9], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [9], [12], [12], [11], [5, 5], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5]]
[[11], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [], [], [12], [12], [9]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [], [12], [12], [12], [9], [12], [5, 5], [12], [11], [5, 5], [12]]
[[], [], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [11], [5, 5], [], [12], [12], [5, 5], [9], [12]]
[[12], [11], [5, 5], [5, 5], [5, 5], [], [5, 5], [12], [], [9], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [5, 5], [12], []]
-EndAllocation

Instance: [[1], [213], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[10], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12, 12]]
[[], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 10], [5, 5, 5, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 9, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12], [9, 10, 12]]
[[12], [5, 5, 5, 5, 12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [5, 5, 5, 5, 5], [9, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [10, 12], [5, 5, 12], [], [5, 5, 5, 9], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [], [12, 12], [10, 12], [9, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 10], [12], [12], [12], [9, 12]]
[[12], [5, 5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 12], [9, 12], [5, 12], [12], [5, 5, 10], [5, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 5, 10], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [12], [9], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [9], [10], [5, 12], [5, 12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [9], [12], [12], [5, 10], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [10], [5, 9], [12], [12], [], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [9], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [10], [5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [9], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [12], [10], [5, 5], [12], [12], [12], [5, 5]]
[[12], [10], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [], [12], [12], [9]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [10], [12], [12], [], [], [12], [12], [12], [9], [12], [5, 5], [12], [12], [5, 5], [12]]
[[10], [], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [5, 5], [9], []]
[[12], [5, 5], [10], [5, 5], [5, 5], [], [5, 5], [12], [], [9], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [5, 5], [12], []]
-EndAllocation

Instance: [[1], [212], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [6, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [6, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [6, 12, 12], [12, 12, 12]]
[[], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [12, 12]]
[[], [12, 12], [12, 12], [6, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [6, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [], [12, 12], [6, 12], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [6, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [12]]
[[12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [6, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 5, 6], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [6, 12], [5, 12], [12], [], [5, 12], [5, 12], [12], [12], [5, 5, 5]]
[[12], [6], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [6], [12], [5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [6], [12], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [5, 6], [12], [12], [12], [5, 5], [5, 5], [5], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [5, 6], [5, 5], [12], [12], [12], [5], [12], [12], [12], [5, 5], [], [], [12], [12], [12]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [], [12], [12], [12], [5, 5], [12], [12], [12], [6], [5, 5], [12]]
[[], [6], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [5, 5], [], [12]]
[[12], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [12], [], [], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [12], [12], [6]]
-EndAllocation

Instance: [[1], [211], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 12, 12]]
[[], [12, 12, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 12, 12]]
[[], [12, 12], [12, 12], [5, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 12], [12], [5, 5, 12], [12], [12], [12], [12]]
[[12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12]]
[[12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [12], [5, 12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [12], [], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5]]
[[12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [5], [12], [12], [12], [5, 5], [], [], [12], [12], [12]]
[[12], [12], [12], [], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [], [12], [12], [12], [5, 5], [12], [5], [12], [12], [5, 5], [12]]
[[], [12], [12], [5], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [5, 5], [], [12]]
[[12], [5, 5], [5, 5], [5, 5], [5, 5], [], [5, 5], [12], [], [], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [12], [5], [12], [12]]
-EndAllocation

Instance: [[1], [210], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 6, 6, 6, 6, 6, 7, 8, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13, 13, 13, 12], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [3, 3, 3, 3, 6, 6, 6, 6, 6, 7, 8, 10, 11, 12, 12, 12, 12, 12]]
[[6, 12, 12, 12, 12], [3, 7, 10, 12, 12, 12, 12, 12, 12], [3, 3, 3, 6, 6, 6, 6, 8, 11, 12]]
[[12], [3, 3, 3, 3, 6, 6, 6, 6, 6, 7, 12], [10, 12, 12, 12, 12, 12], [8, 11, 12, 12, 12, 12]]
[[12], [3, 3, 3, 3, 12, 12, 12], [6, 6, 6, 6, 6, 7, 12], [8, 10, 11, 12, 12], [12, 12, 12, 12]]
[[12], [6, 12, 12, 12], [6, 6, 6, 6, 7, 10], [3, 3, 3, 3, 8, 11, 12], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 12], [3, 3, 3, 3, 8, 11], [12, 12, 12], [12, 12, 12], [6, 7, 12, 12], [10, 12, 12]]
[[], [3, 3, 3, 3, 8, 11], [12, 12, 12], [12], [12, 12, 12], [6, 6, 6, 6, 7], [6, 12, 12], [10, 12, 12]]
[[], [8, 10, 12], [11, 12], [3, 3, 3, 3, 12], [12, 12], [7, 12, 12], [6, 6, 6, 6], [12, 12], [6, 12, 12]]
[[], [12, 12], [11, 12], [6, 6, 6, 6], [6, 12], [10, 12], [3, 3, 3, 3, 7, 8], [12, 12], [12, 12], [12, 12]]
[[12], [6, 6, 6], [3, 3, 3, 3, 11], [6, 6, 10], [8, 12], [12, 12], [12], [7, 12], [12, 12], [12], [12, 12]]
[[], [11, 12], [10, 12], [7, 8], [12], [6, 6, 12], [12, 12], [], [12, 12], [12, 12], [3, 3, 3, 3, 12], [6, 6, 6]]
[[12], [10, 12], [12], [7, 12], [6, 6, 6], [3, 3, 3, 12], [8, 12], [6, 12], [12], [11], [3, 6, 12], [12], [12]]
[[11], [12], [3, 3, 12], [12], [6, 6, 7], [12], [12], [12], [6, 12], [6, 12], [10], [6, 12], [3, 3, 12], [8, 12]]
[[12], [6, 12], [6, 12], [6, 12], [8, 10], [3, 3, 12], [6, 6], [3, 3, 12], [12], [12], [12], [12], [7], [12], [11]]
[[12], [12], [12], [8, 10], [7], [12], [12], [3, 3, 3, 3], [12], [6, 12], [6, 12], [12], [6, 6, 6], [12], [12], [11]]
[[12], [12], [12], [6, 6], [12], [12], [12], [12], [12], [12], [3, 3, 3, 3], [6, 10], [12], [11], [6, 6], [12], [7, 8]]
[[10], [12], [12], [12], [12], [6, 6], [12], [12], [6, 6], [11], [6, 7], [8], [12], [12], [12], [12], [12], [3, 3, 3, 3]]
[[11], [12], [12], [6, 6], [6, 6], [6, 8], [12], [12], [12], [7], [], [12], [10], [12], [12], [12], [12], [3, 3, 3, 3], [12]]
[[12], [8], [12], [6, 6], [12], [11], [6, 6], [6, 7], [], [12], [12], [12], [10], [], [12], [12], [12], [12], [3, 3, 3, 3], [12]]
[[12], [11], [12], [12], [6, 6], [12], [12], [12], [6], [6, 6], [3, 3, 3, 3], [7], [12], [8], [12], [12], [], [12], [12], [], [10]]
[[12], [12], [6, 7], [8], [12], [3, 3, 3, 3], [12], [], [12], [], [12], [12], [12], [11], [12], [6, 6], [12], [6, 6], [], [10], [], [12]]
[[12], [6, 6], [11], [], [3, 3, 3, 3], [12], [10], [12], [12], [12], [12], [12], [12], [12], [6, 7], [], [6, 6], [8], [], [], [12], [], [12]]
[[12], [10], [12], [6, 6], [], [6, 6], [], [], [12], [6], [12], [3, 3, 3, 3], [8], [12], [12], [12], [7], [12], [], [], [11], [12], [12], [12]]
-EndAllocation

Instance: [[1], [209], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 6, 6], [6, 11, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12]]
[[6, 6], [6, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 12, 12, 12, 12, 12]]
[[], [6, 6, 6, 6, 12, 12], [6, 12, 12, 12, 12], [6, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 11]]
[[12], [6, 12, 12, 12], [6, 6, 6, 6, 6, 11], [12, 12, 12], [6, 6, 6, 6, 6, 6], [6, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [6, 6, 6, 12], [6, 6, 6, 6, 11], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [], [12, 12, 12], [6, 11, 12]]
[[], [12, 12], [11, 12], [12, 12], [6, 12, 12], [12, 12], [6, 6, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6]]
[[], [12, 12], [12, 12], [6, 12], [11, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [6, 6, 6, 6]]
[[], [6], [6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12], [12, 12], [11], [6, 6, 6, 6]]
[[], [6], [11, 12], [12, 12], [6, 6, 6, 6], [12, 12], [12], [12, 12], [], [6, 6, 6, 6], [12, 12], [6, 6, 6, 6]]
[[12], [12], [6, 12], [6, 6, 6], [6, 6, 6], [6, 12], [6, 12], [6, 12], [6, 12], [12], [6, 11], [12], [6, 12]]
[[12], [6, 12], [12], [12], [6, 6, 6], [6, 6, 6], [12], [6, 6, 6], [6, 12], [6, 12], [12], [12], [12], [6, 11]]
[[], [], [6, 12], [6, 12], [6, 11], [6], [6, 12], [6, 12], [6, 12], [6, 12], [6, 12], [6, 6, 6], [12], [12], [6, 12]]
[[], [12], [6, 11], [12], [6, 6, 6], [12], [12], [12], [12], [12], [12], [6, 6, 6], [12], [6, 6, 6], [12], [6, 6, 6]]
[[12], [6, 11], [12], [12], [12], [12], [12], [6, 6], [6, 6], [12], [12], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12]]
[[12], [11], [6, 6], [6, 6], [12], [12], [6, 6], [6, 6], [12], [12], [6, 6], [6], [12], [12], [6, 6], [12], [12], [12]]
[[12], [], [6, 6], [6, 6], [12], [12], [12], [6, 6], [6, 6], [6], [12], [6, 6], [12], [11], [6, 6], [12], [12], [12], [12]]
[[12], [12], [12], [6], [6, 6], [6, 6], [12], [], [6, 6], [12], [], [6, 6], [6, 6], [11], [12], [12], [12], [12], [12], [6, 6]]
[[], [], [12], [6, 6], [12], [6, 6], [12], [12], [11], [6, 6], [12], [6], [12], [12], [6, 6], [], [12], [12], [6, 6], [6, 6], [12]]
[[12], [11], [6, 6], [6], [12], [12], [12], [6, 6], [6, 6], [12], [6, 6], [], [12], [12], [12], [6, 6], [], [], [6, 6], [12], [12], []]
[[11], [6, 6], [12], [], [6, 6], [], [6, 6], [6, 6], [], [12], [12], [], [12], [12], [6, 6], [12], [12], [6, 6], [12], [12], [6], [12], []]
[[12], [], [6, 6], [12], [12], [6, 6], [], [], [11], [12], [], [12], [12], [6, 6], [6, 6], [6, 6], [12], [6, 6], [12], [12], [], [], [12], [6]]
-EndAllocation

Instance: [[1], [208], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,24. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12], [10, 12, 12, 12, 12, 12, 12]]
[[12], [10, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 10, 11], [12, 12, 12, 12]]
[[], [10, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [5, 5, 12, 12, 12]]
[[], [5, 5, 5, 12, 12], [11, 12], [12, 12, 12], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[12, 12], [11, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 10], [5, 5, 12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12, 12], [10, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [10, 12], [12, 12], [5, 5, 5, 11], [5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12], [10, 11], [12, 12]]
[[], [12, 12], [5, 5, 10], [12, 12], [11, 12], [5, 12], [12, 12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], []]
[[12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [10, 11]]
[[12], [5, 12], [5, 11], [5, 12], [12], [10], [5, 5, 5, 5], [12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12]]
[[12], [12], [5, 11], [5, 5, 5], [5, 12], [12], [5, 10], [12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12]]
[[12], [5, 12], [12], [5, 5, 5], [12], [5, 5, 5], [11], [5, 5, 5], [5, 12], [12], [12], [12], [12], [12], [12], [10]]
[[12], [11], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [12], [5, 10], [12], [12], [5, 12], [12], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5], [11], [10], [12], [12], [5, 5, 5], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[10], [5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [11], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12]]
[[12], [11], [12], [12], [10], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5], [5, 5], [12], [12], [5, 5], [12], []]
[[12], [5], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [5, 5], [], [10], [12], [11], [12], [12], [5, 5], [12], [12], [5, 5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [], [], [12], [5, 5], [10], [11], [12], [5]]
[[], [10], [12], [5, 5], [12], [11], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [5], [12], [], [12], [5, 5], [12], [12], [], []]
[[12], [12], [], [], [12], [12], [], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [11], [5, 5], [], [12], [10], [5, 5], [5, 5], [12], [5]]
-EndAllocation

Instance: [[1], [225], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[11, 11, 11, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [6, 11, 11, 11, 12, 12, 12, 12, 12]]
[[12], [11, 11, 11, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 11, 11, 11], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [11, 11, 11], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [6, 6, 6, 6, 12, 12]]
[[], [12, 12, 12], [6, 6, 6, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [6, 11, 11, 11], [6, 12, 12, 12]]
[[], [11, 11, 11], [6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [12], [12, 12, 12]]
[[], [12, 12], [12, 12], [6, 6, 6, 6, 6], [12, 12], [11, 11, 11], [6, 12, 12], [6, 12, 12], [6, 6, 6, 6, 6]]
[[], [12, 12], [6, 6, 6, 6, 6], [6, 6, 11], [6, 6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [11, 11], [12, 12]]
[[], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [6, 11, 11], [12, 12], [11], [6, 6, 6], [12, 12]]
[[], [11, 11], [11], [6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12], [], [12, 12], [6, 6, 6, 6]]
[[], [12, 12], [12, 12], [], [12, 12], [11, 11], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [11, 12], [], [12, 12], [12]]
[[12], [6, 12], [6, 6, 6], [6, 12], [12], [6, 11], [6, 6, 6], [12], [12], [11, 11], [6, 12], [6, 12], [6, 12], [12]]
[[11], [6, 12], [6, 6, 6], [6, 12], [11], [6, 12], [12], [12], [12], [12], [12], [6, 11], [6, 6, 6], [6, 12], [6, 12]]
[[12], [11], [12], [12], [6, 6, 6], [12], [6, 12], [11], [6, 6, 6], [12], [11], [6, 12], [6, 6, 6], [6, 12], [12], [12]]
[[12], [12], [12], [12], [12], [6, 6, 6], [6, 6, 6], [12], [6, 6, 6], [12], [12], [6, 6, 6], [11], [12], [12], [11], [11]]
[[12], [12], [12], [12], [12], [12], [12], [12], [6, 11], [6, 6], [6, 11], [12], [6, 6], [12], [11], [6, 6], [6, 6], [6, 6]]
[[12], [6, 6], [12], [12], [12], [6, 6], [12], [11], [12], [12], [6, 6], [12], [12], [12], [11], [11], [6, 6], [6, 6], [6, 6]]
[[11], [12], [6, 6], [12], [12], [11], [], [6, 6], [12], [12], [11], [6, 6], [12], [6, 6], [12], [6, 6], [12], [12], [6, 6], [12]]
[[11], [12], [6, 6], [12], [], [12], [12], [6, 6], [12], [12], [12], [6, 6], [], [12], [6, 6], [6, 6], [12], [6, 6], [11], [12], [11]]
[[12], [12], [11], [12], [11], [11], [], [12], [12], [6, 6], [12], [6, 6], [6, 6], [6, 6], [], [6, 6], [12], [12], [], [6, 6], [12], [12]]
[[12], [12], [6, 6], [12], [6, 6], [11], [], [6, 6], [12], [6, 6], [6, 6], [12], [], [11], [11], [6, 6], [], [12], [12], [12], [], [12], [12]]
[[12], [6, 6], [12], [12], [12], [6, 6], [12], [12], [12], [], [], [11], [11], [6, 6], [11], [6, 6], [], [], [12], [12], [12], [6, 6], [6, 6], []]
[[], [11], [12], [6, 6], [], [], [12], [12], [6, 6], [], [6, 6], [12], [11], [12], [], [6, 6], [11], [12], [12], [6, 6], [12], [12], [], [12], [6, 6]]
-EndAllocation

Instance: [[1], [224], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [6, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11], [12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [9, 11, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [11, 12, 12, 12, 12], [6, 6, 6, 6, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 9]]
[[], [9, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [11, 12, 12, 12], [6, 6, 6, 6, 12], [12, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 6], [11, 12, 12], [6, 6, 6, 6, 6, 9], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 12, 12], [9, 12, 12], [6, 6, 6, 6, 6, 6], [12], [12, 12, 12]]
[[12], [6, 6, 6, 6, 6], [12, 12], [6, 12, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [6, 9, 12], [11, 12]]
[[], [12, 12], [6, 6, 6, 6, 6], [12, 12], [6, 6, 12], [12, 12], [9, 12], [6, 6, 6, 6, 6], [11, 12], [12, 12]]
[[], [12, 12], [12, 12], [6, 6, 6, 6], [12], [6, 6, 6, 9], [12, 12], [6, 6, 6, 6], [6, 12], [12, 12], [11, 12]]
[[], [12, 12], [9, 12], [12, 12], [6, 6, 6, 6], [12, 12], [12], [11, 12], [6, 6, 6, 6], [12, 12], [6, 6, 6, 6], []]
[[], [12], [], [6, 6, 6, 6], [12, 12], [], [12, 12], [12, 12], [11, 12], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [9, 12]]
[[11], [12], [6, 6, 6], [6, 12], [6, 12], [12], [12], [12], [6, 12], [6, 12], [6, 12], [6, 6, 6], [6, 12], [9, 12]]
[[12], [12], [6, 12], [6, 11], [6, 12], [6, 12], [6, 12], [12], [6, 6, 6], [9], [12], [6, 12], [6, 6, 6], [12], [12]]
[[12], [12], [12], [6, 6, 6], [12], [12], [6, 11], [6, 12], [9], [12], [6, 6, 6], [12], [12], [12], [6, 12], [6, 6, 6]]
[[12], [12], [6, 6, 6], [11], [6, 6, 6], [12], [12], [12], [6, 6, 6], [12], [12], [12], [12], [12], [12], [6, 6, 6], [9]]
[[12], [12], [12], [12], [12], [6, 6], [12], [12], [12], [6, 11], [12], [6, 6], [6, 6], [12], [6, 6], [6, 9], [12], [6, 6]]
[[9], [12], [6, 6], [6, 6], [12], [6, 6], [11], [12], [12], [12], [12], [12], [6, 6], [12], [12], [12], [6, 6], [12], [6, 6]]
[[9], [11], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12], [12], [12], [], [6, 6], [12], [12]]
[[12], [12], [11], [9], [12], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [], [12], [12], [12], [12], [12], [], [6, 6], [6, 6]]
[[], [6, 6], [12], [12], [6, 6], [12], [12], [6, 6], [12], [12], [6, 6], [12], [], [11], [6, 6], [12], [], [9], [12], [12], [6, 6], [12]]
[[], [12], [6, 6], [12], [12], [6, 6], [12], [], [12], [], [6, 6], [12], [12], [6, 6], [6, 6], [6, 6], [], [9], [11], [12], [12], [12], [12]]
[[12], [6, 6], [], [], [12], [12], [11], [], [12], [6, 6], [12], [], [12], [6, 6], [12], [9], [12], [], [12], [6, 6], [6, 6], [6, 6], [12], [12]]
[[], [6, 6], [12], [12], [6, 6], [], [6, 6], [], [], [6, 6], [12], [12], [9], [12], [11], [6, 6], [12], [12], [12], [], [12], [12], [12], [], [6, 6]]
-EndAllocation

Instance: [[1], [223], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8], [6, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 11], [12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [11, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [11, 12, 12, 12, 12], [6, 6, 8, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [8, 11, 12, 12], [6, 6, 6, 6, 12], [12, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 8], [11, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [8], [12, 12, 12]]
[[12], [6, 6, 6, 6, 8], [12, 12], [6, 12, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [6, 6, 12], [11, 12]]
[[], [8, 12], [6, 6, 6, 6, 6], [12, 12], [6, 6, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [11, 12], [12, 12]]
[[], [12, 12], [12, 12], [6, 6, 6, 6], [8], [6, 6, 6, 6], [12, 12], [6, 6, 6, 6], [12, 12], [12, 12], [11, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12], [12], [11, 12], [6, 6, 6, 6], [8, 12], [6, 6, 6, 6], []]
[[], [12], [], [6, 6, 6, 6], [12, 12], [], [12, 12], [12, 12], [8, 11], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12, 12]]
[[11], [12], [6, 6, 6], [6, 12], [6, 12], [12], [12], [12], [6, 12], [8, 12], [6, 12], [6, 6, 6], [6, 12], [6, 12]]
[[12], [12], [6, 12], [8, 11], [6, 6, 6], [12], [6, 12], [12], [6, 6, 6], [12], [12], [6, 12], [6, 6, 6], [12], [12]]
[[12], [6, 12], [12], [6, 6, 6], [12], [12], [6, 11], [8], [12], [12], [6, 6, 6], [6, 12], [12], [12], [12], [6, 6, 6]]
[[12], [12], [6, 6, 6], [11], [6, 6, 6], [12], [12], [12], [6, 6, 6], [12], [12], [6, 6], [12], [12], [12], [6, 8], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [6, 8], [6, 11], [12], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [6, 6]]
[[12], [12], [6, 8], [6, 6], [12], [6, 6], [11], [12], [12], [12], [12], [12], [6, 6], [12], [6], [12], [6, 6], [12], [6, 6]]
[[], [11], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12], [12], [12], [8], [6, 6], [12], [12]]
[[12], [12], [11], [6], [12], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [], [12], [12], [12], [12], [12], [], [6, 8], [6, 6]]
[[], [6, 6], [12], [12], [6, 6], [12], [12], [6, 6], [12], [], [6, 8], [12], [6], [11], [6, 6], [12], [], [12], [12], [12], [6, 6], [12]]
[[8], [12], [6, 6], [12], [12], [6, 6], [], [], [12], [], [6, 6], [12], [12], [6, 6], [6, 6], [6, 6], [], [12], [11], [12], [12], [12], [12]]
[[12], [6, 6], [], [], [12], [12], [11], [], [12], [6, 6], [12], [8], [12], [6, 6], [], [12], [12], [], [12], [6, 6], [6, 6], [6, 6], [12], [12]]
[[], [6, 6], [12], [12], [6, 6], [], [6, 6], [], [], [6, 6], [12], [12], [12], [12], [11], [6, 6], [12], [8], [12], [], [12], [12], [12], [], [6, 6]]
-EndAllocation

Instance: [[1], [222], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 3, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[1, 3, 3, 9, 9, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[1, 3, 3, 8, 8, 8, 8, 8, 10, 10, 10, 10], [12, 12, 12, 12, 12, 12, 12], [9, 9, 11, 11, 11]]
[[1, 9, 9, 11, 12, 12], [10, 10, 10, 10, 11, 11, 12], [12, 12], [3, 3, 8, 8, 8, 8, 8, 12, 12]]
[[1, 8, 8, 8, 8, 8, 9, 9], [3, 3, 12, 12], [10, 10, 10, 10, 12], [11, 11, 11, 12, 12], [12, 12]]
[[1, 11, 12, 12, 12], [11, 11, 12, 12], [9, 10, 10, 10, 10], [], [3, 3, 12, 12], [8, 8, 8, 8, 8, 9]]
[[1, 8, 8, 8, 8, 8], [12, 12, 12], [3, 3, 12], [9, 9], [12, 12, 12], [11, 11, 11], [10, 10, 10, 10]]
[[1, 3, 3, 10, 12], [11, 11, 11], [10, 10, 10], [9, 9], [8, 8, 8, 8], [12, 12, 12], [12, 12, 12], [8]]
[[1, 3, 3, 12, 12], [9, 11, 12], [10, 10, 12], [10, 10, 12], [], [12, 12], [8, 8, 8, 8], [8], [9, 11, 11]]
[[1, 11, 12], [], [3, 3, 12, 12], [12, 12], [10, 10, 10], [12, 12], [11, 11], [9, 9], [8, 8, 10], [8, 8, 8]]
[[1, 8, 12], [10, 12], [8, 10, 10], [12], [12, 12], [11, 12], [10, 12], [8, 8, 8], [], [3, 3, 11, 11], [9, 9]]
[[1, 3, 8, 8], [10, 12], [3, 10, 12], [12, 12], [11, 11], [10, 10], [8, 8, 8], [], [], [12, 12], [9, 11], [9, 12]]
[[1, 11, 11], [3, 3, 8, 8], [10, 10], [12, 12], [8, 8, 8], [], [12, 12], [], [], [9, 9], [12, 12], [11, 12], [10, 10]]
[[1, 3, 3, 12], [8, 12], [8, 8], [11], [9, 9], [12], [11], [10, 10], [12], [12], [10, 10], [8, 12], [12], [8, 11]]
[[1, 12], [8, 12], [8, 12], [12], [9, 9], [11], [10, 10], [], [12], [10, 10], [3, 3, 8], [8, 12], [11], [12], [8, 11]]
[[9, 9], [12], [12], [11], [11], [12], [8, 10], [11], [8, 8], [1, 10], [8, 10], [12], [12], [12], [8, 10], [3, 3, 12]]
[[1, 11], [8, 8], [12], [12], [10], [3, 3, 10], [12], [12], [11], [12], [12], [8, 8], [11], [10], [12], [8, 10], [9, 9]]
[[1, 10], [8, 9], [8, 8], [12], [11], [10], [11], [10], [10], [12], [12], [12], [12], [8, 8], [12], [11], [3, 3, 9], [12]]
[[1, 11], [11], [12], [8, 8], [10], [3, 3, 8], [8, 8], [12], [10], [9], [10], [10], [12], [9], [12], [11], [12], [12], [12]]
[[1, 3, 3, 8], [12], [9], [12], [12], [12], [11], [10], [10], [8, 8], [11], [11], [12], [], [9], [10], [12], [10], [12], [8, 8]]
[[1, 3, 9], [12], [3, 10], [11], [12], [12], [12], [10], [11], [8], [8], [8], [12], [12], [8], [10], [8], [12], [9], [11], [10]]
[[1, 3, 10], [8], [8], [8], [11], [11], [9], [12], [10], [11], [10], [8], [12], [8], [], [12], [12], [12], [12], [10], [3, 9], [12]]
[[1, 3, 3], [12], [12], [12], [10], [11], [8], [11], [8], [8], [8], [10], [9], [9], [8], [12], [], [10], [12], [11], [12], [10], [12]]
[[1, 8], [3, 3], [12], [12], [12], [10], [8], [], [], [8], [8], [8], [11], [12], [12], [12], [10], [12], [9], [10], [10], [11], [9], [11]]
[[1, 8], [12], [11], [], [10], [10], [], [3, 3], [12], [9], [9], [12], [8], [10], [10], [12], [], [12], [8], [12], [8], [11], [8], [12], [11]]
-EndAllocation

Instance: [[1], [221], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [10, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 5, 12, 12, 12], [10, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [10, 12, 12], [5, 12, 12], [5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12], [10]]
[[12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 12, 12], [12, 12], [12, 12], [12], [5, 5, 5, 5], [12, 12], [5, 12, 12], [5, 5, 5, 5, 10], [5, 12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [10, 12], [5, 5, 5, 5, 5], [12], [5, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [5, 10], [], [12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[12], [12], [12], [5, 12], [10, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 10], [5, 12], [5, 12], [5, 12], [12]]
[[12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 10], [12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [5, 12], [10], [5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [5, 5, 5], [10], [12], [12], [12], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [12], [5, 12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [10], [12], [5, 5], [12], [12], [5, 5, 5]]
[[12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [5, 10], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [12], [5], [12], [12]]
[[], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [12], [10], [5, 5], [12], [5, 5, 5]]
[[], [5, 5], [12], [12], [5, 5], [12], [12], [10], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5], [5, 5], [12], [12], [12], [12]]
[[12], [12], [12], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [], [12], [5], [10], [12], [12], [12], [5, 5], [5, 5], [12], [5, 5]]
[[10], [12], [5, 5], [], [], [12], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [12], [12], [5, 5]]
[[12], [12], [], [12], [], [5, 5], [12], [12], [12], [10], [5, 5], [5, 5], [12], [12], [12], [12], [5], [12], [5, 5], [], [5, 5], [12], [], [12]]
[[], [5, 5], [12], [12], [5, 5], [10], [12], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [], [5], [12], []]
-EndAllocation

Instance: [[1], [220], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11], [9, 9, 10, 10, 10, 12, 12, 12]]
[[5, 8, 8, 8, 8, 8, 8, 8, 12], [7, 10, 10, 10, 11, 11, 11, 11, 12], [6, 6, 6, 6, 9, 9, 12]]
[[5, 8, 8, 8, 8, 8, 8, 8, 12], [7], [9, 9, 10, 10, 10, 12, 12], [6, 6, 6, 6, 11, 11, 11, 11]]
[[5, 6, 6, 6, 6, 12], [9, 11, 11, 11, 11], [10, 10, 10, 12, 12], [8, 8, 8, 8, 8, 8, 8], [7, 9]]
[[5, 8, 8, 8, 8, 12], [8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 7], [11, 11, 11, 11], [9, 9, 12, 12]]
[[5, 8, 8, 12], [11, 11, 11], [9, 9, 12, 12], [8, 8, 8, 8, 8], [], [6, 6, 6, 6, 11], [7, 10, 10, 10]]
[[5, 6, 6, 6, 6], [7, 10, 10, 10], [11], [8, 8, 8], [12, 12, 12], [9, 9], [11, 11, 11], [8, 8, 8, 8]]
[[5, 8, 8, 11], [11, 11, 11], [12, 12], [8, 8, 8, 8], [7, 9, 9], [10, 10, 10], [], [12], [6, 6, 6, 6, 8]]
[[5, 8, 12], [8, 8, 8], [], [7, 9, 10], [11, 11], [12, 12], [11, 11], [6, 6, 6, 6], [9, 10, 10], [8, 8, 8]]
[[5, 8, 12], [8, 8, 8], [7, 10], [12, 12], [9, 9], [6, 6, 6, 6], [11, 11], [10, 10], [], [11, 11], [8, 8, 8]]
[[5, 12], [8, 8, 8], [8, 8], [11, 11], [12, 12], [11, 11], [], [9, 9], [6, 6, 6, 6], [7, 10], [10, 10], [8, 8]]
[[5, 6, 6], [8, 8], [8, 8], [12], [8, 8], [7, 10], [6, 12], [9, 9], [6, 12], [10, 10], [11, 11], [11, 11], [8]]
[[5, 7, 8], [8, 8], [12], [6, 6, 6], [11], [6, 12], [8, 8], [9, 9], [10, 10], [11], [11], [8, 10], [11], [8, 12]]
[[5, 10], [8, 8], [8, 8], [12], [7, 11], [11], [11], [12], [8, 8], [6, 11], [6, 6, 6], [], [8, 12], [9, 9], [10, 10]]
[[5, 6, 6], [11], [8, 8], [8, 8], [8, 8], [9, 9], [10], [12], [6, 11], [12], [6, 11], [12], [11], [7, 10], [8], [10]]
[[5, 12], [8, 8], [6, 6], [8, 8], [7, 10], [11], [11], [9], [6, 6], [12], [12], [10], [10], [11], [8, 9], [11], [8, 8]]
[[5, 9], [8, 8], [8, 8], [8, 8], [12], [7, 10], [10], [], [11], [12], [9], [11], [11], [8], [12], [6, 11], [6, 6], [6, 10]]
[[6, 8], [11], [8, 8], [12], [11], [11], [8, 8], [10], [6, 6], [9], [], [], [10], [7, 9], [12], [6, 10], [12], [5, 11], [8, 8]]
[[11], [9], [10], [11], [9], [6, 8], [6, 8], [12], [8], [8], [10], [11], [8], [6, 8], [10], [11], [5, 7], [12], [12], [6, 8]]
[[5, 8], [10], [8], [8], [8], [8], [8], [11], [10], [11], [9], [11], [12], [9], [6, 8], [12], [6, 7], [11], [10], [12], [6, 6]]
[[5, 8], [8], [6, 6], [8], [7], [8], [11], [8], [9], [12], [11], [8], [10], [11], [9], [10], [8], [10], [12], [11], [12], [6, 6]]
[[11], [8], [8], [6, 6], [12], [8], [8], [10], [], [11], [10], [11], [8], [12], [10], [8], [9], [12], [11], [9], [8], [5, 6], [6, 7]]
[[12], [8], [8], [6, 6], [6, 7], [10], [8], [8], [8], [8], [], [10], [11], [11], [9], [12], [11], [11], [9], [8], [], [12], [10], [5, 6]]
[[8], [8], [8], [6, 6], [8], [8], [8], [8], [], [10], [10], [9], [11], [12], [12], [11], [11], [6], [5, 6], [12], [11], [7], [9], [10], []]
-EndAllocation

Instance: [[1], [219], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [9, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [11, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12], [9, 12, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 12, 12], [9, 11, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [9, 11], [5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12], [9, 12, 12], [12, 12], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 9], [12, 12], [5, 5, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 11], [5, 5, 5, 9], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [9], [11, 12]]
[[12], [5, 5, 12], [9, 12], [5, 5, 12], [5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 11], [12], [12], [12]]
[[12], [12], [9, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 5, 11], [12], [12], [5, 12], [5, 12]]
[[12], [5, 12], [12], [5, 9], [5, 12], [5, 12], [12], [5, 5, 5, 5], [11], [12], [5, 12], [5, 12], [12], [12], [5, 12]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 9], [5, 12], [12], [5, 12], [5, 11]]
[[12], [11], [12], [12], [5, 5, 5], [5, 5, 5], [12], [9], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12]]
[[], [12], [12], [12], [5, 12], [5, 5, 5], [5, 11], [5, 5, 5], [12], [12], [12], [9], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [], [12], [9], [12], [12], [12], [12], [12], [5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [11], [12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [12], [9], [12], [5, 5], [12], [5, 5], [12], [11], [12], [12], [12], [5], [5, 5], [12], [5, 5], [12]]
[[12], [12], [9], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [], [11], [5, 5], [5], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [], [9], [5, 5], [5], [12], [12], [5, 5], [12], [12], [11], [12], []]
[[], [12], [], [5, 5], [12], [9], [12], [12], [5, 5], [5, 5], [12], [12], [5], [12], [12], [12], [12], [11], [], [5, 5], [12], [12], [5, 5]]
[[9], [12], [5, 5], [12], [5], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [], [5, 5], [12], [], [12], [12], [], [5, 5], [5, 5], [11]]
[[12], [5, 5], [12], [12], [11], [], [12], [9], [], [12], [12], [12], [5, 5], [5, 5], [5, 5], [5], [], [12], [12], [5, 5], [12], [], [], [12], [12]]
-EndAllocation

Instance: [[1], [218], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11], [5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12]]
[[12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [9, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12], [9, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 5, 12, 12], [12, 12, 12, 12], [9, 11, 11, 12]]
[[], [5, 5, 5, 12, 12], [11, 11, 12], [12, 12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 12], [11, 11], [12, 12, 12], [9, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5], [11, 11], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 11], [5, 12, 12], [5, 5, 5, 5, 9], [12, 12], [12], [5, 12, 12], [5, 5, 5, 5, 5]]
[[], [5], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [9, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [11, 11], [9, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [5]]
[[12], [9, 12], [5, 5, 12], [12], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 5, 5], [12], [12], [12], [11, 11]]
[[12], [9, 12], [5, 11], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 12], [11], [5, 12], [12]]
[[12], [12], [12], [12], [5, 5, 5, 5], [12], [5, 5, 5, 5], [12], [5, 11], [9, 11], [12], [5, 12], [5, 12], [12], [12]]
[[12], [11], [12], [12], [12], [5, 9], [5, 11], [5, 12], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [5, 12], [12], [5, 5, 5], [12], [11], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [12], [9], [12], [12], [12], [11]]
[[12], [12], [12], [12], [5, 12], [5, 11], [12], [], [12], [12], [12], [5, 5, 5], [9], [11], [12], [12], [5, 5, 5], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 5], [], [12], [12], [11], [9], [12], [12], [11], [5, 5, 5]]
[[12], [12], [12], [5, 5], [5, 9], [11], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [11], [12]]
[[], [5, 9], [11], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [], [12], [5, 5], [12], [5, 5], [11], [12]]
[[], [12], [12], [11], [12], [5, 5], [12], [12], [12], [5], [11], [5, 5], [12], [12], [12], [12], [5, 5], [9], [5, 5], [5, 5], [], [12]]
[[12], [11], [9], [], [12], [5, 5], [12], [5], [12], [5, 5], [5, 5], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [12], [11], []]
[[], [], [12], [5, 5], [5, 5], [12], [12], [11], [5, 5], [12], [5, 5], [12], [11], [9], [], [12], [5], [12], [12], [12], [12], [5, 5], [12], []]
[[12], [5], [12], [11], [12], [12], [12], [12], [], [9], [12], [12], [12], [5, 5], [11], [5, 5], [5, 5], [12], [5, 5], [], [], [], [5, 5], [], [12]]
-EndAllocation

Instance: [[1], [217], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,25. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,25:
-StartAllocation
[[12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12], [12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [6, 12, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [6, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 12, 12], [6, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12], [6, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 6, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 6], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12]]
[[], [], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [6], [12, 12]]
[[12], [5, 12], [5, 5, 12], [12], [6, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12]]
[[12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [6, 12]]
[[12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 6]]
[[12], [12], [5, 5, 5], [6, 12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [5, 12]]
[[12], [12], [12], [6], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12]]
[[], [12], [12], [12], [5, 12], [5, 5, 6], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 6], [12], []]
[[12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12], [5, 6], [5, 5], [12], [5, 5], [12]]
[[12], [12], [12], [5, 5], [12], [6], [12], [12], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [5], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [], [], [5, 5], [5, 6], [12], [12], [5, 5], [12], [12], [12], [12], []]
[[], [12], [], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [6], [5], [12], [12], [12], [12], [], [12], [5, 5], [12], [12], [5, 5]]
[[], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [], [5, 5], [12], [], [12], [12], [], [5, 6], [5, 5], [5, 5]]
[[12], [5, 5], [12], [12], [12], [], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [5, 5], [5], [], [12], [12], [5, 5], [12], [], [], [12], [6]]
-EndAllocation

Instance: [[1], [234], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[2, 4, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 11]]
[[2, 4, 6, 8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12, 12, 12], [7, 7, 7, 9, 10, 10, 10, 11, 11]]
[[2, 4, 6, 7, 7, 7], [12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8], [9, 10, 10, 10, 11, 11, 12]]
[[2, 10, 10, 10], [4, 11, 11, 12, 12], [6, 8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [7, 7, 7, 9]]
[[2, 4, 8], [12, 12, 12, 12], [6, 10, 12, 12, 12], [7, 7, 7, 9, 10, 10], [11, 11], [8, 8, 8, 8, 8, 8]]
[[2, 11, 11], [4, 6, 7, 8, 8, 12], [9, 12, 12], [7, 7, 10, 10, 10], [12, 12], [12, 12], [8, 8, 8, 8, 8]]
[[2, 8, 8, 8, 12], [9, 10, 10, 10], [4, 8, 12], [8, 8, 8, 12], [12], [12], [11, 11, 12], [6, 7, 7, 7, 12]]
[[2, 8, 8, 8, 8], [4, 6, 9, 12], [8, 8, 8], [10, 10, 12], [10, 12], [12], [11, 11, 12], [12], [7, 7, 7, 12]]
[[2, 6, 12], [8, 8, 8], [], [8, 8, 8, 8], [12, 12], [9, 11, 11], [12, 12], [7, 7, 7], [4, 12, 12], [10, 10, 10]]
[[2, 4, 6, 12], [8, 10], [8, 8, 8], [11, 11], [10, 10], [12, 12], [9], [12, 12], [7, 7, 7], [12, 12], [8, 8, 8]]
[[2, 8, 8, 8], [8, 8, 8], [4, 6, 7, 7], [11, 11], [12, 12], [12, 12], [7, 12], [10, 12], [], [9, 12], [10, 10], [8]]
[[2, 4, 6, 12], [8, 8, 8], [10, 10], [12, 12], [12, 12], [7, 7, 7], [9], [8, 8, 8], [], [], [12, 12], [11, 11], [8, 10]]
[[2, 8, 12], [6, 12], [8, 12], [8, 8], [9], [11], [10, 10], [7, 7, 7], [8, 8], [8, 12], [11], [10, 12], [12], [4, 12]]
[[4, 12], [8, 8], [8, 8], [7, 8], [8, 12], [10, 11], [7, 12], [11], [7, 12], [6, 12], [12], [12], [10, 10], [8, 9], [2]]
[[2, 6, 12], [8, 9], [8, 10], [12], [7, 7], [12], [12], [8, 12], [], [12], [10, 10], [11], [11], [7, 12], [8, 8], [4, 8, 8]]
[[2, 4, 10], [8, 9], [8, 8], [8, 8], [6, 12], [7, 7], [12], [12], [12], [12], [11], [10], [12], [8, 8], [7, 10], [12], [11]]
[[12], [8, 8], [12], [8, 9], [2, 4, 6], [11], [12], [8, 8], [10], [7, 7], [11], [10], [12], [12], [12], [7, 10], [12], [8, 8]]
[[12], [8, 9], [8, 8], [2, 4], [8, 8], [6, 11], [10], [8, 8], [11], [12], [12], [10], [12], [12], [12], [10], [7], [7, 7], [12]]
[[2, 4, 8], [6, 10], [10], [8, 8], [10], [7, 7], [8], [11], [12], [12], [12], [12], [9], [11], [12], [], [7, 8], [12], [8, 8], [12]]
[[2, 12], [4, 8], [8, 8], [8, 8], [12], [10], [12], [7], [12], [7, 7], [12], [10], [9], [], [11], [12], [8, 8], [11], [], [6, 10], [12]]
[[2, 12], [4, 10], [6, 7], [9], [10], [12], [8], [7, 7], [11], [10], [12], [12], [8], [8], [8], [11], [8], [12], [8], [12], [12], [8]]
[[2, 10], [7, 7], [4, 10], [8], [8], [12], [11], [12], [8], [7], [12], [12], [8], [8], [12], [8], [10], [12], [9], [6, 8], [], [11], [12]]
[[2, 8], [8], [6, 7], [7], [10], [12], [12], [8], [8], [8], [12], [10], [12], [7], [10], [12], [11], [8], [8], [9], [12], [12], [11], [4]]
[[2, 4, 7], [10], [12], [9], [12], [8], [8], [12], [12], [10], [11], [8], [12], [8], [], [11], [12], [8], [8], [], [8], [10], [12], [7], [6, 7]]
[[2, 8], [4, 8], [8], [8], [8], [6], [], [8], [10], [9], [7], [12], [12], [10], [7], [12], [12], [12], [11], [12], [8], [10], [7], [11], [12], []]
-EndAllocation

Instance: [[1], [233], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12]]
[[12, 12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 11, 11, 12]]
[[12], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 11, 12], [12, 12, 12]]
[[], [5, 5, 5, 12, 12], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 11, 12]]
[[12, 12], [11, 11, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12]]
[[], [12], [5, 12, 12], [5, 12, 12], [11, 11], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 12, 12], [12, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [5, 11, 11], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 12], [12, 12], [12, 12], [11, 11], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5], [12], [5, 5, 5, 5], [12, 12], [5, 5, 5], [], [12, 12]]
[[12], [11, 11], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 11], [12], [12], [5, 5, 11], [12], [5, 12], [5, 12]]
[[12], [12], [5, 11], [12], [5, 12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [11]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [12], [12], [11], [5, 12], [11], [5, 12]]
[[12], [12], [11], [12], [12], [12], [5, 5, 5], [11], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [11], [12], [12], [12], [12], [5, 5, 5], [11], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [5, 11], [11], [12], [12], [], [5, 5, 5], [5, 5, 5], [5], [12], [12], [12], [12], [12], [12]]
[[], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [12], [11], [11], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [11], [12], [5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [11], [12], [12]]
[[12], [], [11], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [11], [12], [], [5, 5], [5, 5], [12], [12], [12], [12], [5]]
[[], [12], [12], [12], [12], [12], [], [12], [11], [5, 5], [12], [12], [5], [5, 5], [5, 5], [5, 5], [12], [5, 5], [12], [11], [12], [12], [12], []]
[[12], [12], [], [], [5, 5], [12], [12], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5], [5, 5], [11], [12], [], [12], [11]]
[[12], [], [], [], [5, 5], [12], [12], [], [5, 5], [5], [12], [12], [12], [12], [12], [5, 5], [11], [12], [12], [5, 5], [5, 5], [12], [12], [11], [12], []]
-EndAllocation

Instance: [[1], [232], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12]]
[[12], [11, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12], [12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [10, 12, 12, 12, 12], [11, 12, 12, 12, 12]]
[[], [5, 10, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12]]
[[12], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [10, 12, 12]]
[[], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [10, 12, 12], [11, 12, 12]]
[[12, 12], [11, 12], [12, 12], [12, 12], [10, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12]]
[[], [12], [5, 12, 12], [5, 12, 12], [11, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 12, 12], [10, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 11], [12, 12], [5, 5, 5, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5], [10], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [11], [12, 12], [10, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5], [], [12, 12]]
[[12], [5, 5, 11], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [10, 12], [12], [12], [5, 5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [10, 11], [5, 5, 5, 5], [12], [5, 12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [11], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [10], [5, 12], [12], [12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [5, 12], [12], [5, 10], [11], [5, 12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [11], [5, 5, 5], [5, 5, 5], [10], [12], [12], [5, 12], [5, 12], [12], [12], [12]]
[[], [12], [12], [12], [12], [5, 10], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 5, 5], [11], [12], [12]]
[[10], [12], [12], [12], [12], [5, 5, 5], [5, 11], [12], [12], [12], [], [5, 5, 5], [5, 5, 5], [5], [12], [12], [12], [12], [12], [12]]
[[], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [12], [12], [11], [10], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [10], [12], [5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [11], [12], [12]]
[[12], [], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [11], [12], [5], [10], [5, 5], [], [12], [12], [12], [5, 5]]
[[], [12], [10], [12], [12], [12], [], [12], [11], [5, 5], [12], [12], [5], [5, 5], [5, 5], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], []]
[[12], [12], [], [], [5, 5], [12], [12], [12], [5, 5], [], [10], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5], [5, 5], [11], [12], [], [12], [12]]
[[12], [], [5], [], [5, 5], [12], [12], [], [10], [5, 5], [12], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [5, 5], [12], [12], [11], [12], []]
-EndAllocation

Instance: [[1], [231], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12]]
[[10, 11, 11], [5, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12]]
[[11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11], [12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12, 12], [11, 11, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 12, 12, 12], [11, 11, 12, 12], [10, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [10, 11, 11, 12], [12, 12, 12], [5, 5, 5, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [10, 11, 11], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12]]
[[12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [10, 12, 12], [12, 12], [11, 11, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 11, 11], [12], [12, 12], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [10, 12], [5, 5, 5, 5, 5], [11, 11], [5], [12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [10, 12], [12], [12, 12], [11, 11], [5, 5, 5], [], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12]]
[[12], [12], [12], [5, 5, 12], [11, 11], [12], [5, 5, 12], [5, 12], [12], [5, 5, 12], [12], [5, 5, 5, 5], [10, 12], [12]]
[[12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [12], [12], [10, 11], [5, 12], [5, 5, 11], [5, 12], [12], [5, 12]]
[[12], [12], [5, 5, 10], [5, 5, 5, 5], [12], [12], [5, 12], [11], [12], [12], [5, 12], [5, 12], [5, 12], [5, 11], [12], [12]]
[[12], [10], [5, 12], [5, 12], [12], [12], [12], [12], [5, 12], [11], [11], [5, 5, 5], [12], [5, 12], [5, 12], [12], [5, 5, 5]]
[[10], [11], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [11], [12], [5, 12], [12], [12]]
[[], [12], [12], [5, 5, 5], [12], [10], [12], [5, 5, 5], [11], [5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12], [11], [12], [12]]
[[12], [12], [10], [11], [12], [12], [12], [12], [], [11], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5], [12], [5, 5], [11], [12], [12], [10], [11], [12], [5, 5], [5, 5], [5, 5]]
[[12], [11], [12], [12], [12], [12], [], [11], [5, 5], [12], [5, 5], [5, 5], [10], [5], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5]]
[[12], [], [5, 5], [12], [11], [], [12], [12], [5], [12], [12], [5, 5], [12], [10], [12], [12], [5, 5], [12], [5, 5], [12], [12], [11], [5, 5]]
[[], [12], [12], [5, 5], [5, 5], [], [12], [10], [5], [12], [12], [12], [12], [11], [12], [12], [5, 5], [12], [5, 5], [12], [], [12], [11], [5, 5]]
[[12], [5, 5], [5, 5], [], [], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [5], [10], [11], [12], [12], [12], [12], [11], [], [12], [12]]
[[11], [5, 5], [12], [5], [12], [12], [5, 5], [12], [], [5, 5], [12], [12], [], [10], [], [5, 5], [12], [11], [12], [12], [12], [12], [5, 5], [12], [], []]
-EndAllocation

Instance: [[1], [230], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 6, 6, 7, 7, 9, 9, 9, 9], [8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12]]
[[7, 11, 11, 11, 11], [5, 5, 5, 5, 9, 9, 9, 9, 10, 10, 10, 10], [6, 6, 7, 8, 8, 12, 12, 12, 12]]
[[7, 8, 10, 10, 10, 10], [5, 5, 5, 5, 8, 11, 11, 11, 11], [7, 12, 12, 12, 12], [6, 6, 9, 9, 9, 9]]
[[5, 5, 5, 5, 7, 11, 11], [6, 6, 12, 12, 12, 12], [8, 8], [9, 9, 9, 9, 11, 11], [7, 10, 10, 10, 10]]
[[5, 5, 5, 7, 10, 10, 10], [5, 11, 11, 11, 11], [], [12, 12, 12, 12], [9, 9, 9, 9, 10], [6, 6, 7, 8, 8]]
[[7, 7, 8, 8, 9], [6, 6, 12, 12], [9, 9], [5, 5, 5, 5, 12, 12], [11, 11, 11, 11], [9], [10, 10, 10, 10]]
[[11, 11, 12], [12, 12, 12], [10], [6, 6, 7, 8, 8], [5, 5, 5, 5, 11], [9, 9, 9, 9], [10], [7, 10, 10, 11]]
[[6, 6, 7, 9], [10, 10, 10], [], [11, 11, 11], [9, 9, 9], [8, 8, 11], [5, 5, 5, 5, 10], [7, 12, 12], [12, 12]]
[[7, 11, 12], [12, 12], [11, 11], [11, 12], [], [9, 9, 9], [9, 10], [6, 7, 8, 8], [5, 5, 5, 5, 6], [10, 10, 10]]
[[7, 7, 8], [5, 5, 5, 5], [11, 11], [8, 10, 10], [6, 6, 12], [11, 11], [9, 9, 9], [10, 10], [], [12, 12], [9, 12]]
[[9, 12], [], [10, 10], [11, 11], [9, 9], [9, 12], [11, 11], [8, 8], [6, 6, 7, 7], [5, 5, 5, 5], [10, 10], [12, 12]]
[[6, 6, 7], [9, 9], [10, 10], [7], [12, 12], [11, 11], [8, 8], [11, 11], [], [12, 12], [10, 10], [9, 9], [5, 5, 5, 5]]
[[11, 11], [8, 8], [6, 6, 7], [12], [10, 12], [10, 10], [12], [5, 5, 5, 5], [], [10, 12], [9, 9], [9, 9], [7], [11, 11]]
[[5, 5, 5, 5], [9, 9], [12], [10, 10], [12], [8, 8], [7], [11], [], [12], [6, 6, 9], [10, 11], [9, 11], [7, 12], [10, 11]]
[[7, 12], [10, 10], [], [12], [7, 11], [10, 10], [8, 11], [11], [9, 9], [6, 6], [9, 9], [11], [12], [12], [8], [5, 5, 5, 5]]
[[6, 6], [8, 10], [12], [12], [7, 11], [12], [11], [9, 9], [10], [5, 10], [11], [11], [12], [5, 5, 5], [9, 9], [7, 10], [8]]
[[7, 10], [9], [9], [9], [10], [11], [6, 6], [11], [5, 11], [10], [10], [12], [12], [7, 9], [5, 12], [5, 11], [5, 12], [8, 8]]
[[6, 11], [12], [5, 9], [6, 9], [8, 8], [5, 5, 5], [7], [12], [10], [9], [11], [10], [11], [11], [9], [10], [12], [7, 10], [12]]
[[5, 7], [12], [9], [10], [9], [12], [9], [11], [7], [11], [8, 8], [5, 9], [11], [10], [11], [6, 6], [5, 10], [12], [5, 10], [12]]
[[7, 7], [11], [11], [9], [9], [10], [11], [9], [12], [5, 5], [9], [5, 5], [6, 8], [12], [12], [12], [6, 8], [10], [11], [10], [10]]
[[11], [10], [10], [9], [11], [], [12], [12], [6, 6], [9], [11], [5, 7], [5, 7], [9], [10], [12], [12], [8], [5, 8], [10], [5, 9], [11]]
[[8], [5, 5], [9], [5, 5], [], [12], [9], [12], [6, 7], [10], [6, 7], [11], [9], [11], [12], [11], [10], [9], [8], [12], [10], [10], [11]]
[[5, 5], [10], [], [12], [], [12], [5, 5], [8], [12], [9], [11], [11], [8], [10], [9], [10], [9], [9], [11], [6, 7], [12], [10], [11], [6, 7]]
[[5, 6], [11], [11], [], [5, 5], [], [9], [], [10], [9], [12], [8], [11], [12], [9], [12], [12], [9], [7], [5, 8], [10], [6, 7], [11], [10], [10]]
[[9], [], [], [5, 5], [8], [12], [8], [11], [12], [6, 6], [9], [9], [10], [10], [11], [7], [10], [7], [10], [9], [5, 5], [12], [11], [11], [12], []]
-EndAllocation

Instance: [[1], [229], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13, 13, 13, 12], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 9, 9, 9, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 12, 12, 12, 12]]
[[6, 6, 6, 6, 9, 9, 9, 10, 10, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 10, 12, 12], [7, 7, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8, 8, 10], [6, 6, 6, 6, 7, 7, 9, 9, 10], [11, 11, 12, 12, 12, 12], [9, 10]]
[[9, 10, 10, 10, 11, 11], [8, 9, 9], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 12, 12, 12], [7, 7, 12]]
[[7, 7, 8, 8, 9], [11, 11], [10, 10, 10], [6, 6, 6, 6, 9, 9], [12, 12, 12, 12], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [12, 12, 12], [10, 10, 10, 11], [6, 6, 6, 6, 7, 7], [8, 8, 8, 9, 11], [9, 9], [12]]
[[8, 8, 8, 8], [10, 10, 10], [9, 12], [6, 6, 7, 7], [6, 6, 11, 11], [9, 9], [12, 12, 12], [8, 8, 8, 8]]
[[8, 8, 8, 9], [7, 7, 12], [10, 10, 10], [11, 11, 12], [12, 12], [8, 8, 8, 8], [], [6, 6, 6, 6], [8, 9, 9]]
[[8, 8, 8], [9, 9], [12, 12], [7, 7, 9], [11, 11], [12, 12], [10, 10, 10], [8, 8], [6, 6, 6, 6], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [9, 9, 10], [12, 12], [9], [], [11, 11], [7, 7, 12], [10, 10], [8, 8, 12]]
[[8, 8], [8, 8, 8], [8, 8, 8], [10, 12], [9, 9], [9], [6, 6, 6, 6], [12], [7, 7, 12], [10, 10], [11, 11], [12]]
[[8, 9], [8, 8, 8], [8, 8, 8], [12], [12], [12], [11, 11], [7, 7], [6, 6, 6, 6], [8], [10, 10], [10, 12], [9, 9]]
[[9, 12], [8, 9], [7, 7, 8], [8, 8], [12], [10, 10], [9, 12], [], [11, 11], [10, 12], [6, 6, 6], [8, 8], [8, 8], [6]]
[[6, 9], [8, 8], [8, 8], [8, 8], [10, 11], [7, 12], [10, 10], [9, 12], [7, 12], [11], [], [], [9, 12], [8, 8], [6, 6, 6]]
[[7, 12], [12], [8, 8], [8, 8], [6, 6, 6], [6, 7], [10, 10], [12], [9, 11], [9, 9], [10], [], [8, 8], [12], [8, 8], [11]]
[[6, 12], [11], [8, 8], [8, 8], [7, 7], [6, 6, 6], [11], [10], [9, 9], [12], [9], [10], [12], [8, 8], [10], [12], [8, 8]]
[[10], [8, 8], [8, 8], [8, 8], [8, 9], [12], [12], [10], [11], [6, 6], [6, 6], [12], [12], [8, 9], [11], [10], [7, 7], [9]]
[[8, 8], [6, 6], [12], [6, 9], [8, 8], [7, 10], [12], [7, 9], [12], [8, 8], [11], [], [11], [12], [10], [6, 10], [], [8, 9], [8]]
[[12], [9], [8, 8], [8, 8], [8, 8], [6, 6], [10], [], [11], [11], [9], [12], [6, 6], [12], [10], [9], [12], [7, 7], [10], [8, 8]]
[[9], [6, 8], [12], [6, 8], [6, 8], [12], [10], [8], [7, 7], [11], [10], [12], [10], [8], [9], [6, 8], [8], [12], [9], [11], [8]]
[[6, 8], [6, 8], [6, 8], [6, 8], [8], [10], [12], [], [7, 7], [11], [8], [9], [10], [8], [12], [10], [9], [12], [11], [9], [12], [8]]
[[6, 6], [8], [6, 7], [8], [8], [12], [8], [10], [8], [10], [9], [10], [9], [8], [11], [8], [12], [12], [11], [9], [12], [8], [6, 7]]
[[8], [8], [6, 6], [9], [8], [8], [9], [8], [12], [8], [7], [10], [11], [8], [11], [10], [10], [6, 6], [9], [12], [7], [12], [12], [8]]
[[8], [10], [8], [12], [12], [7], [9], [7], [8], [10], [6, 6], [9], [11], [8], [9], [11], [12], [8], [8], [8], [10], [8], [12], [], [6, 6]]
[[8], [8], [], [8], [8], [7], [9], [10], [6, 6], [8], [11], [8], [12], [10], [9], [12], [9], [], [6, 6], [12], [7], [10], [8], [11], [12], [8]]
-EndAllocation

Instance: [[1], [228], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 3, 3, 3, 3, 8, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 3, 3, 3, 3, 3, 8, 9, 9, 10, 12, 12], [3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[10, 12, 12], [3, 3, 3, 3, 3, 3, 3, 3, 8, 9, 9, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12], [9, 9, 10, 12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 3, 3, 8, 12, 12, 12]]
[[], [3, 3, 3, 3, 3, 3, 3, 9, 12, 12], [8, 10, 12, 12, 12], [12, 12, 12, 12, 12], [3, 9, 12, 12, 12, 12]]
[[], [3, 3, 3, 3, 3, 3, 3, 12], [8, 9, 9, 12, 12], [3, 10, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [3, 3, 12, 12, 12], [8, 9, 9, 12], [3, 3, 3, 3, 3, 3, 10, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [10, 12, 12], [8, 12, 12], [3, 3, 3, 3, 3, 3, 3, 3, 12], [12, 12, 12], [9, 9]]
[[], [12, 12], [10, 12, 12], [12, 12], [12, 12], [12, 12], [3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 12, 12], [9, 12, 12]]
[[12], [12, 12], [9, 9, 12], [12, 12], [10, 12], [3, 3, 3, 3, 3, 3, 3, 3], [8, 12], [12, 12], [12, 12], [12, 12]]
[[], [3, 3, 3, 3, 3, 3, 3, 3], [12, 12], [12, 12], [12, 12], [12, 12], [9, 9], [8, 10], [12, 12], [12, 12], [12, 12]]
[[], [9, 9], [8, 10], [12, 12], [12, 12], [12, 12], [12, 12], [3, 3, 3, 3, 3, 3, 3, 3], [12, 12], [12, 12], [], [12, 12]]
[[], [8], [3, 3, 3, 3, 3, 3, 3, 3], [12, 12], [10, 12], [9, 9], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], []]
[[12], [12], [12], [3, 3, 12], [8, 12], [12], [3, 3, 3, 12], [9, 12], [12], [10, 12], [9, 12], [12], [12], [3, 3, 3, 12]]
[[12], [3, 3, 12], [9, 10], [12], [12], [12], [12], [12], [9, 12], [12], [3, 3, 3, 12], [12], [8, 12], [3, 3, 3, 12], [12]]
[[12], [12], [9, 9], [12], [12], [12], [12], [3, 3, 12], [12], [12], [10], [12], [3, 3, 12], [3, 3, 12], [8, 12], [3, 3, 12]]
[[12], [3, 3, 3, 9], [3, 12], [10], [12], [12], [12], [3, 3, 12], [8, 9], [12], [12], [12], [3, 3, 12], [12], [12], [12], [12]]
[[12], [12], [8, 9], [12], [12], [12], [12], [10], [12], [12], [12], [12], [3, 3, 9], [12], [3, 3, 3, 3, 3], [3, 12], [12], [12]]
[[12], [12], [3, 3, 3, 3, 3], [10], [12], [9], [12], [3, 3, 9], [12], [3, 12], [12], [12], [12], [12], [12], [12], [8], [12], [12]]
[[12], [12], [3, 3, 3, 3, 3], [12], [12], [12], [12], [3, 12], [12], [], [9], [12], [12], [10], [8], [12], [12], [12], [12], [3, 3, 9]]
[[12], [12], [12], [12], [10], [12], [12], [9], [12], [], [8], [3, 3, 3, 3], [12], [12], [12], [9], [12], [12], [3, 3, 3, 3], [12], [12]]
[[], [9], [12], [9], [12], [12], [12], [12], [3, 3, 3, 3], [12], [12], [12], [12], [10], [3, 3, 3, 3], [12], [8], [], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [8], [], [], [9], [3, 3, 3, 3], [12], [10], [12], [9], [3, 3, 3, 3], [12], [12], [12], [12], [], [12], [12]]
[[12], [12], [12], [12], [12], [3, 3, 3, 3], [12], [], [10], [12], [12], [], [12], [9], [], [9], [12], [12], [], [8], [3, 3, 3, 3], [12], [12], [12]]
[[12], [12], [], [], [9], [3, 8], [], [12], [12], [12], [], [12], [12], [12], [3, 3, 3], [9], [12], [3, 3, 3, 3], [10], [12], [12], [], [12], [12], [12]]
[[12], [3, 3, 3], [12], [], [12], [12], [12], [3, 8], [12], [], [12], [12], [], [12], [9], [12], [12], [12], [3, 3, 3, 3], [], [9], [], [12], [10], [12], []]
-EndAllocation

Instance: [[1], [227], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12]; Results for m' = 2,...,26. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 6, 8, 8, 9, 9, 9, 9, 12, 12], [7, 7, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11]]
[[7, 7, 9, 9, 9, 9, 11, 11, 11, 11], [5, 6, 11, 11], [8, 8, 10, 10, 10, 10, 10, 10, 12, 12]]
[[7, 7, 12, 12], [5, 6, 8, 10, 10], [9, 9, 9, 9, 10, 10, 10, 10], [8, 11, 11, 11, 11, 11, 11]]
[[11, 11, 11, 11, 11], [7], [7, 8, 8, 10, 12, 12], [9, 9, 9, 9, 11], [5, 6, 10, 10, 10, 10, 10]]
[[11, 11, 12, 12], [10, 10, 10, 10, 10], [11, 11, 11, 11], [10], [5, 6, 7, 7, 8], [8, 9, 9, 9, 9]]
[[6, 7, 7, 8, 8], [10, 10, 10, 10], [9, 9, 9, 9], [10, 10, 12, 12], [11, 11, 11, 11], [], [5, 11, 11]]
[[11, 11], [8, 8], [9, 9, 9, 9], [7, 7, 12, 12], [10, 10, 10], [11, 11], [10, 10, 10], [5, 6, 11, 11]]
[[7, 7, 9, 11], [10, 10, 10], [11, 11, 11], [10, 10, 10], [12, 12], [8, 8], [], [9, 9, 9], [5, 6, 11, 11]]
[[7, 10, 10], [5, 10, 10], [10, 10], [11, 11], [9], [7, 11, 11], [9, 9, 9], [8, 8], [6, 12, 12], [11, 11]]
[[5, 7, 7, 8], [8, 10, 10], [11, 11], [10, 11], [10, 10], [11, 11], [9, 10], [9, 9, 9], [12, 12], [11], [6]]
[[5, 10, 10], [10, 11], [12, 12], [11, 11], [], [6, 11], [8, 10], [8, 9], [7, 7, 9], [10, 10], [9, 11], [9, 11]]
[[10, 10], [5, 8, 11], [6, 9], [10, 11], [11, 11], [9, 11], [8, 11], [9, 10], [7, 7], [12, 12], [], [10], [9, 10]]
[[10, 10], [5, 9], [6, 7, 7], [9, 9], [11, 11], [10, 10], [], [10, 10], [9, 12], [12], [8, 8], [11, 11], [], [11, 11]]
[[5, 6, 9], [8, 10], [9, 10], [10, 11], [7, 7], [10], [9, 11], [], [10], [10, 11], [11], [11], [11], [9, 12], [8, 12]]
[[10, 10], [8, 10], [5, 11], [8, 10], [11], [11], [12], [7, 9], [12], [], [7, 11], [9, 9], [10, 10], [11], [6], [9, 11]]
[[5, 11], [11], [7, 10], [12], [12], [8, 10], [11], [9, 9], [8, 10], [11], [11], [], [7, 10], [10], [9, 9], [6, 10], [11]]
[[7, 10], [5, 10], [8, 9], [8, 9], [12], [11], [10], [9], [7, 10], [11], [9], [11], [12], [10], [11], [11], [6, 10], [11]]
[[12], [8, 8], [5, 11], [7, 9], [9], [11], [11], [6, 10], [10], [10], [11], [9], [10], [7, 9], [10], [10], [11], [11], [12]]
[[5, 10], [12], [10], [12], [10], [11], [11], [10], [6, 9], [10], [10], [8], [7, 8], [9], [7, 9], [9], [11], [11], [11], [11]]
[[5, 9], [11], [10], [10], [12], [11], [11], [10], [10], [9], [7, 7], [11], [9], [8], [10], [9], [11], [12], [6, 8], [11], [10]]
[[5, 8], [10], [10], [11], [11], [11], [11], [11], [10], [12], [7, 7], [6, 8], [9], [12], [], [9], [9], [10], [9], [11], [10], [10]]
[[5, 7], [11], [9], [11], [12], [10], [11], [9], [11], [6], [8], [8], [11], [7], [10], [10], [11], [10], [10], [9], [9], [10], [12]]
[[5, 6], [11], [10], [9], [9], [9], [10], [12], [11], [11], [10], [9], [10], [8], [7], [7], [], [11], [10], [11], [11], [10], [8], [12]]
[[5, 6], [10], [10], [10], [10], [10], [12], [10], [9], [11], [12], [9], [9], [11], [9], [8], [7], [], [8], [11], [], [11], [7], [11], [11]]
[[5, 6], [10], [10], [10], [11], [11], [9], [9], [9], [8], [9], [], [7], [8], [], [12], [12], [7], [11], [10], [11], [], [11], [10], [11], [10]]
-EndAllocation

Instance: [[1], [226], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,26. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,26:
-StartAllocation
[[9, 9, 9, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12], [3, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8, 8, 10, 10], [3, 6, 6, 12, 12, 12, 12, 12], [7, 7, 7, 7, 9, 9, 9, 10, 10, 11]]
[[8, 8, 8, 8, 8], [9, 9, 9, 10, 10, 10, 10], [11, 12, 12, 12, 12, 12], [3, 5, 6, 6, 7, 7, 7, 7]]
[[3, 5, 6, 7, 10, 11], [9, 9, 9], [8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [6, 7, 7, 7, 10, 10, 10]]
[[3, 5, 6, 7, 8, 8, 12], [12, 12, 12, 12], [6, 10, 10, 10, 10], [9, 9, 9], [11], [7, 7, 7, 8, 8, 8]]
[[3, 9, 10, 10, 11], [5, 6, 6, 10, 10], [9, 9, 12, 12], [12, 12, 12], [8, 8, 8, 8, 8], [], [7, 7, 7, 7]]
[[3, 6, 6, 7, 8, 8], [5, 10, 10, 10], [9, 10], [8, 8, 8], [11], [9, 9, 12], [12, 12, 12], [7, 7, 7, 12]]
[[8, 8, 8, 8], [3, 7, 7, 12], [5, 6, 9, 10], [10, 10, 10], [9, 11], [6], [12, 12], [12, 12], [7, 7, 8, 9]]
[[3, 6, 8], [9, 9, 9], [6, 7, 7, 8], [5, 7, 7, 10], [10, 10, 10], [12, 12], [12, 12], [12], [11], [8, 8, 8]]
[[3, 8, 8], [8, 8, 8], [5, 10, 12], [9, 9, 9], [10, 10], [12], [12], [11], [10, 12], [6, 6, 7, 7], [7, 7, 12]]
[[], [8, 8], [3, 5, 12], [6, 7, 10], [7, 7, 10], [6, 9, 10], [10], [8, 8, 8], [12, 12], [7, 9, 9], [12, 12], [11]]
[[3, 5], [7, 7, 8], [7, 8, 8], [12], [6, 9, 9], [12], [12, 12], [], [6, 12], [10, 10], [10, 10], [7, 8, 8], [9, 11]]
[[3, 8, 8], [6, 8], [5, 8, 8], [7, 12], [7, 12], [10, 10], [9, 12], [], [11], [9, 9], [12], [12], [10, 10], [6, 7, 7]]
[[3, 8, 8], [8, 8], [8], [7, 12], [7, 11], [10, 10], [7], [5, 6, 7], [12], [12], [12], [9], [10, 10], [9, 9], [6, 12]]
[[3, 5, 6, 6], [8, 8], [8], [12], [7, 7], [12], [11], [7, 12], [12], [10], [10, 10], [7, 12], [9, 10], [9, 9], [8, 8], []]
[[3, 5, 10], [], [8, 8], [7, 8], [12], [7, 10], [12], [12], [12], [11], [9], [7, 10], [12], [6, 6], [9, 9], [7, 10], [8, 8]]
[[], [8, 8], [3, 12], [8, 8], [7, 8], [7, 9], [10], [9], [12], [5, 12], [12], [6, 10], [7, 10], [9], [10], [11], [12], [6, 7]]
[[5, 9], [7, 7], [8, 8], [3, 9], [8], [10], [7, 7], [8, 8], [12], [12], [10], [12], [10], [12], [10], [11], [9], [6, 6], [12]]
[[6, 10], [5, 10], [7, 7], [12], [8, 8], [8, 8], [], [], [], [12], [3, 12], [12], [9], [11], [10], [7, 9], [10], [12], [7, 9], [6, 8]]
[[5, 7], [12], [8], [8], [12], [10], [9], [6, 8], [6, 7], [12], [8], [12], [7, 7], [9], [10], [8], [11], [12], [9], [10], [3, 10]]
[[5, 9], [6, 6], [10], [], [12], [7, 7], [9], [12], [8], [10], [10], [8], [7, 7], [12], [10], [8], [12], [12], [11], [8], [3, 9], [8]]
[[8], [3, 8], [12], [12], [10], [9], [9], [11], [7], [10], [12], [9], [10], [10], [8], [12], [7], [7], [7], [8], [12], [5, 8], [6, 6]]
[[3, 8], [9], [9], [10], [9], [6, 6], [12], [5, 7], [12], [8], [12], [10], [10], [8], [11], [7], [7], [8], [8], [7], [12], [10], [12], []]
[[12], [], [3, 8], [9], [12], [10], [8], [10], [10], [7], [6, 6], [9], [11], [10], [9], [7], [12], [7], [5, 8], [8], [7], [], [12], [12], [8]]
[[10], [7], [12], [], [9], [], [12], [6, 6], [8], [3, 8], [11], [9], [12], [], [9], [5, 7], [7], [12], [7], [10], [10], [8], [12], [10], [8], [8]]
-EndAllocation

Instance: [[1], [243], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 12], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[10, 11, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 11, 11], [4, 4, 4, 4, 4, 4, 4, 9, 10, 10, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 11, 11, 12], [10, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11], [9, 10, 10, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12], [9, 10, 12, 12], [10, 11, 11, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 12], [12, 12, 12, 12]]
[[12], [12, 12, 12], [11, 11, 12, 12], [12, 12, 12], [9, 10, 10, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12, 12], [10, 10, 12], [9, 11, 11], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 12, 12], [12, 12, 12], [10, 12, 12], [11, 11], [12, 12, 12], [12, 12, 12], [9]]
[[12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 10, 10], [4, 4, 4, 4, 4, 4], [11, 11], [9, 12, 12], [12, 12]]
[[], [12], [10, 11], [4, 12, 12], [4, 4, 4, 4, 4, 10], [12, 12], [4, 4, 9, 11], [12, 12], [12, 12], [4, 12, 12], [12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4], [4, 4, 9], [12], [12, 12], [12, 12], [11, 11], [10, 12], [12, 12], [10, 12], [12, 12], [12, 12]]
[[], [11, 11], [4, 4, 4, 10], [12, 12], [10, 12], [12, 12], [9], [4, 4, 4, 4, 4, 4], [12, 12], [], [12, 12], [12, 12], [12, 12]]
[[], [10, 12], [10, 12], [], [9, 12], [4, 4, 4, 12], [], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [12], [12, 12]]
[[12], [12], [12], [4, 4, 12], [9, 12], [11, 11], [10, 12], [12], [12], [12], [10, 12], [4, 4, 12], [4, 4, 4, 4, 4], [12], [12]]
[[12], [10], [12], [12], [10, 11], [12], [11], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [9, 12], [12], [4, 12], [4, 4, 12]]
[[12], [12], [12], [4, 4, 10], [12], [9, 11], [4, 4, 12], [4, 4, 12], [12], [4, 12], [12], [10], [11], [12], [4, 4, 12], [12], [12]]
[[12], [4, 12], [11], [4, 11], [12], [4, 12], [9], [4, 12], [10], [4, 12], [4, 4, 10], [12], [12], [12], [4, 12], [12], [4, 12], [12]]
[[12], [10], [4, 4, 4, 4], [12], [12], [12], [12], [4, 12], [4, 12], [4, 12], [12], [12], [4, 11], [4, 12], [9], [11], [12], [12], [10]]
[[12], [12], [4, 4, 4, 4], [12], [12], [11], [4, 4, 4, 4], [10], [12], [12], [12], [12], [12], [4, 11], [12], [12], [9], [10], [12], [12]]
[[11], [12], [11], [12], [12], [], [12], [4, 4, 4, 4], [12], [4, 12], [12], [4, 4, 4, 4], [10], [9], [12], [12], [12], [12], [10], [12], [12]]
[[11], [], [11], [4, 10], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [9], [12], [12], [10], [12], [12], [12], [], [4, 4, 4, 4], [12], [12]]
[[10], [12], [10], [4, 4, 4], [], [12], [12], [12], [4, 4, 4], [12], [11], [11], [9], [12], [12], [4, 4, 4], [12], [12], [12], [12], [], [12], [12]]
[[], [12], [], [4, 4, 4], [4, 4, 4], [10], [12], [12], [4, 4, 4], [12], [], [12], [12], [9], [12], [12], [12], [11], [12], [10], [11], [12], [12], [12]]
[[11], [9], [4, 4, 4], [12], [], [10], [12], [12], [11], [12], [12], [4, 4, 4], [], [12], [12], [], [12], [12], [12], [4, 4, 4], [], [12], [12], [10], [12]]
[[12], [12], [12], [9], [12], [4, 4, 4], [10], [12], [11], [12], [12], [4, 4, 4], [12], [12], [11], [10], [12], [], [12], [], [12], [4, 4, 4], [], [12], [], []]
[[12], [4, 4, 4], [12], [12], [12], [4, 4, 4], [4, 4, 4], [], [10], [12], [12], [12], [12], [12], [12], [11], [], [11], [12], [], [], [9], [10], [12], [], [12], []]
-EndAllocation

Instance: [[1], [242], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11]]
[[12], [10, 10, 12, 12, 12], [12, 12, 12, 12, 12], [11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 10, 10, 12, 12]]
[[], [5, 5, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [12, 12, 12], [10, 10, 12, 12]]
[[], [10, 10], [5, 5, 5, 11, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 10, 12], [12, 12, 12], []]
[[12], [10, 10, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [10, 10], [5, 12, 12], [5, 5, 5, 5, 5], [11, 12]]
[[], [12, 12], [5, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5], [10, 10], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [12, 12]]
[[], [10, 10], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 11], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 10], [], [5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [11, 12], [5, 5, 5, 5], [12, 12], []]
[[12], [10, 10], [5, 5, 12], [12], [12], [12], [12], [12], [12], [5, 5, 11], [5, 5, 12], [5, 12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 5, 11], [10, 10], [5, 12], [12], [5, 5, 5, 5], [12], [12], [12], [12], [12], [5, 12], [12], [5, 12]]
[[12], [10, 10], [12], [5, 12], [12], [11], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5]]
[[12], [12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [10], [10], [12], [12], [5, 12], [11]]
[[12], [10], [12], [12], [12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [12], [11], [12], [5, 5, 5], [12], [10], [5, 5, 5]]
[[12], [12], [12], [11], [12], [10], [5, 5], [12], [12], [12], [12], [5, 5, 5], [10], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [12], [12], [], [12], [12], [10], [12], [12], [12], [5, 5, 5], [12], [10], [11], [5, 5, 5], [12], [12], [5, 5], [5, 5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [11], [5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [10], [12], [12], [12], [5, 5], [12], [12], [10]]
[[11], [5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [10], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [10], [12], [5, 5]]
[[], [5, 5], [10], [12], [12], [12], [12], [12], [12], [12], [12], [5], [5, 5], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [11], [5, 5], [10]]
[[12], [5, 5], [10], [5, 5], [12], [5, 5], [], [12], [], [12], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [12], [12], [10], [11], [12], [12], []]
[[12], [], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [10], [12], [], [], [10], [5, 5], [], [5, 5], [11], [12], [5, 5], [12], [12], [5]]
[[12], [12], [5, 5], [5, 5], [10], [12], [5], [], [12], [12], [], [10], [5, 5], [12], [12], [], [12], [5, 5], [12], [12], [12], [], [], [12], [5, 5], [11], [12]]
-EndAllocation

Instance: [[1], [241], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 12], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[12], [6, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [6, 12, 12, 12, 12], [5, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [6, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6]]
[[], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [6, 12, 12], [12, 12, 12], [12, 12, 12], []]
[[12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [6, 12], [5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 12], [6, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [5, 6, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5], [12], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [12, 12], [6]]
[[12], [12], [5, 5, 12], [12], [12], [12], [12], [5, 12], [12], [5, 5, 12], [6, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [12], [12], [12], [5, 12], [6, 12], [12], [5, 12]]
[[12], [12], [12], [5, 12], [12], [12], [12], [12], [6, 12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5]]
[[12], [12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 6], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 6], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [5, 5], [12], [6], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [12], [12], [], [6], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5], [5, 5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [6], [5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5], [12], [6], [12], [12], [5, 5], [], [12], [5], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5]]
[[], [5, 5], [12], [12], [12], [12], [12], [12], [12], [], [12], [12], [5, 5], [], [12], [12], [5, 6], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5]]
[[], [5, 5], [12], [5, 5], [12], [5, 5], [], [12], [], [12], [12], [5, 5], [12], [12], [5, 6], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], []]
[[12], [], [12], [12], [12], [12], [12], [12], [12], [6], [5, 5], [12], [5, 5], [12], [12], [12], [], [5], [], [5, 5], [5, 5], [12], [5, 5], [12], [12], []]
[[12], [12], [5, 5], [5, 5], [6], [12], [5], [], [12], [12], [], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12], [12], [], [], [12], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [240], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[4, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12], [5, 5, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [10, 10, 10, 10, 10, 12, 12, 12, 12], [4, 5, 5, 6, 7, 7, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10, 10, 10], [12, 12, 12, 12], [4, 5, 5, 6, 7, 7, 11, 11]]
[[6, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [11, 11, 12, 12, 12], [4, 5, 5, 7, 7, 12]]
[[8, 10, 10, 10], [12, 12, 12, 12], [10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [11, 11], [4, 5, 5, 6, 7, 7]]
[[4, 8, 10, 10, 12], [10, 10, 10], [6, 7, 7, 8, 8, 8], [10, 10, 10, 12], [11, 11, 12, 12], [], [5, 5, 8, 8, 8]]
[[8, 8, 8, 10], [10, 10, 10], [4, 11, 11, 12], [], [12, 12, 12], [6, 7, 7, 8], [8, 8, 8, 10], [5, 5, 10, 10, 10]]
[[8, 8, 8, 10], [4, 8, 10, 12], [6, 7, 7], [10, 11, 11], [10, 10], [12, 12, 12], [], [8, 8, 8, 10], [5, 5, 10, 10]]
[[6, 8, 8, 8], [8, 8, 8, 8], [7, 7, 10], [10, 10, 10], [10], [12, 12], [11], [12, 12], [10, 10, 10], [4, 5, 5, 11]]
[[5, 8, 8, 8], [8], [8, 8, 8], [7, 11, 11], [6, 10, 10], [7, 10, 10], [5], [12, 12], [12, 12], [10, 10], [4, 10, 10]]
[[8, 8, 8], [8, 8, 8], [8, 11], [10, 11], [12], [10, 10], [], [12, 12], [7, 7, 12], [5, 5, 6, 10], [4, 10, 10], [10, 10]]
[[8, 8, 8], [8, 8, 8], [5, 10, 10], [5, 10, 10], [12, 12], [10, 10], [11, 11], [], [12, 12], [10], [4, 6], [7, 7], [8, 10]]
[[4, 7], [5, 5, 6], [7, 11], [10], [8, 8, 8], [10, 12], [10], [10, 11], [10], [8, 8, 8], [10, 12], [12, 12], [10], [8, 10]]
[[4, 10], [8, 8], [8, 8], [5, 5, 10], [10, 10], [10, 10], [6, 12], [8, 8], [7, 12], [12], [12], [7, 11], [10, 10], [], [8, 11]]
[[4, 5, 5], [8, 8], [6, 8], [10, 10], [8, 8], [12], [11], [7, 10], [12], [12], [12], [7, 11], [10, 10], [10, 10], [10], [8, 8]]
[[8, 10], [5, 5, 8], [8, 8], [12], [12], [10, 10], [11], [10, 10], [7, 10], [], [12], [10, 10], [8, 8], [7, 12], [4], [6, 8], [11]]
[[8, 8], [8, 10], [8, 8], [8, 8], [5, 11], [7, 10], [4, 11], [12], [10], [10], [10], [12], [10], [], [12], [7, 10], [6, 10], [5, 12]]
[[8, 8], [8, 8], [8, 8], [5, 12], [4, 12], [8], [5, 10], [10], [12], [10], [11], [10], [11], [10], [10], [10], [12], [7, 7], [6, 10]]
[[4, 5, 5], [10], [8, 8], [8, 8], [10], [11], [10], [10], [8, 8], [10], [12], [12], [10], [12], [10], [11], [7, 7], [12], [6, 10], [8]]
[[4, 5, 5], [7, 7], [8, 8], [8, 8], [10], [10], [10], [12], [10], [12], [12], [10], [10], [], [10], [12], [8, 8], [11], [6, 10], [11], [8]]
[[10], [4, 8], [6, 8], [12], [8], [8], [12], [8], [7, 7], [10], [10], [12], [12], [11], [5, 8], [10], [10], [10], [10], [11], [10], [5, 8]]
[[5, 8], [4, 8], [12], [11], [12], [8], [5, 8], [8], [10], [10], [10], [10], [10], [7], [8], [12], [10], [11], [12], [10], [7], [6, 8], [10]]
[[5, 8], [8], [4, 8], [8], [10], [10], [6], [10], [11], [12], [7], [12], [10], [10], [12], [10], [11], [12], [10], [7], [8], [8], [10], [5, 8]]
[[5, 5], [12], [8], [6, 7], [8], [12], [10], [10], [10], [10], [10], [10], [10], [8], [11], [10], [4], [8], [12], [8], [7], [8], [11], [12], [8]]
[[5, 8], [10], [4, 8], [], [10], [5, 7], [10], [10], [10], [12], [10], [12], [10], [12], [8], [11], [10], [8], [8], [], [8], [], [11], [8], [12], [6, 7]]
[[10], [5, 5], [8], [12], [10], [8], [12], [10], [8], [8], [10], [6], [8], [12], [11], [10], [10], [10], [], [7], [11], [8], [7], [12], [10], [], [4, 8]]
-EndAllocation

Instance: [[1], [239], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[10, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4, 4], [9, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 5, 10, 11, 12, 12, 12, 12, 12, 12]]
[[12], [5, 11, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 12, 12], [9, 10, 12, 12, 12, 12, 12]]
[[], [9, 12, 12, 12, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 10, 11, 12], [4, 4, 5, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 12], [11, 12, 12, 12], [9, 10, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [9, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5], [10, 12, 12, 12], [11, 12, 12], [12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [5, 10, 12, 12], [11, 12, 12], [9, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [], [5, 10, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [9, 11, 12], [12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 10], [12, 12], [4, 4, 4, 4, 12], [11, 12], [12, 12], [9, 12], [12, 12], [5, 12, 12], [12, 12]]
[[], [5, 11, 12], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [4, 4, 9, 12], [10, 12], [12], [12, 12], [12, 12], [12, 12]]
[[], [4, 4, 4, 4, 4, 4], [4, 4, 4, 9], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 10, 11], [], [12, 12]]
[[], [10, 11], [5, 12], [12, 12], [12, 12], [9, 12], [12, 12], [12, 12], [], [4, 4, 4, 4, 4, 4], [12], [4, 4, 4, 12], [12, 12]]
[[], [12, 12], [12, 12], [11], [10, 12], [4, 4, 4, 12], [12, 12], [], [12, 12], [4, 4, 4, 4, 4, 4], [], [5, 9], [12, 12], [12, 12]]
[[12], [12], [12], [4, 4, 12], [4, 4, 12], [9, 12], [5, 12], [12], [4, 12], [4, 4, 12], [10, 11], [12], [12], [12], [4, 4, 12]]
[[12], [12], [11], [4, 12], [12], [12], [12], [4, 4, 12], [4, 4, 12], [12], [5, 12], [4, 4, 12], [4, 4, 12], [9, 10], [12], [12]]
[[12], [12], [12], [4, 4, 12], [12], [12], [12], [12], [9, 11], [12], [12], [4, 4, 4, 4, 4], [12], [4, 4, 12], [10], [12], [5, 12]]
[[12], [4, 4, 4, 4], [5, 12], [4, 12], [12], [12], [12], [12], [4, 4, 10], [12], [12], [12], [12], [12], [4, 9], [11], [12], [4, 12]]
[[12], [10], [5, 12], [12], [12], [4, 4, 4, 4], [12], [12], [11], [4, 12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [9], [12]]
[[12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [9], [12], [5], [12], [12], [12], [4, 4, 4, 4], [12], [12], [11], [4, 12], [12], [10]]
[[12], [5, 10], [12], [4, 11], [12], [12], [12], [], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [9], [12], [], [12], [12], [4, 4, 4, 4]]
[[12], [5], [12], [4, 4, 4], [11], [4, 4, 4], [12], [12], [12], [12], [12], [4, 4, 4], [9], [12], [12], [10], [12], [], [12], [12], [12], [12]]
[[10], [], [4, 4, 4], [12], [12], [12], [12], [12], [12], [], [12], [12], [11], [12], [4, 4, 4], [4, 4, 5], [4, 9], [12], [], [12], [12], [12], [12]]
[[12], [], [12], [11], [12], [4, 4, 4], [], [9], [5], [], [12], [12], [12], [12], [12], [12], [12], [10], [12], [12], [12], [12], [4, 4, 4], [4, 4, 4]]
[[12], [], [12], [12], [], [12], [12], [12], [4, 4, 4], [4, 9], [12], [11], [12], [12], [5], [12], [], [12], [4, 4, 4], [12], [10], [], [12], [4, 4], [12]]
[[10], [5], [4, 4, 4], [12], [12], [], [], [], [4, 4], [12], [12], [4, 9], [12], [12], [12], [12], [], [12], [12], [12], [12], [4, 4, 4], [], [12], [11], [12]]
[[], [12], [12], [12], [11], [4, 4, 4], [12], [12], [4, 4, 4], [], [5], [4, 4, 4], [12], [12], [12], [12], [], [12], [], [], [9], [12], [], [12], [12], [12], [10]]
-EndAllocation

Instance: [[1], [238], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12]]
[[7, 7, 10, 10], [6, 8, 8, 11, 11, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 7, 7, 9, 9, 12, 12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 8, 8, 10, 10, 12, 12], [6, 7, 7, 7, 7, 12, 12, 12], [9, 9, 11, 11, 12, 12, 12]]
[[], [4, 7, 7, 7, 7, 10, 10, 12], [4, 12, 12, 12, 12, 12], [4, 4, 6, 8, 8, 9, 9], [4, 11, 11, 12, 12, 12]]
[[], [10, 10, 12, 12], [8, 9, 9, 11, 11], [4, 4, 4, 4, 4, 7, 7, 7, 7], [6, 8, 12, 12, 12], [12, 12, 12, 12]]
[[], [6, 12, 12, 12], [11, 12, 12], [10, 10, 12, 12], [7, 7, 7, 7, 11], [9, 9, 12, 12], [4, 4, 4, 4, 4, 8, 8]]
[[], [8, 8, 12, 12], [7, 7, 12], [12, 12, 12], [4, 4, 4, 4, 4, 7, 7], [11, 11, 12], [6, 9, 9, 12], [10, 10, 12]]
[[], [4, 4, 4, 4, 4, 8, 8], [11, 11, 12], [], [12, 12, 12], [6, 7, 7, 7, 7], [10, 10, 12], [9, 9, 12], [12, 12, 12]]
[[], [7, 12, 12], [6, 7, 7, 7], [8, 12], [11], [4, 4, 4, 9, 9], [10, 10, 11], [4, 4, 12, 12], [12, 12], [8, 12, 12]]
[[], [11, 11], [6, 10, 10], [4, 4, 4, 4, 4], [12, 12], [9, 9], [12, 12], [12, 12], [7, 7, 7, 7], [12, 12], [8, 8, 12]]
[[], [9, 9], [7, 7, 7], [4, 4, 4, 4, 4], [12, 12], [6, 8, 8], [12, 12], [10, 10], [12, 12], [11, 11], [7, 12], [12, 12]]
[[], [12, 12], [12, 12], [12], [8, 8], [6], [4, 4, 4, 4, 4], [12, 12], [11, 11], [10, 10], [7, 9, 9], [7, 7, 7], [12, 12]]
[[12], [10, 10], [12], [4, 12], [7, 12], [12], [4, 4, 12], [9, 9], [6, 12], [8, 8], [11, 11], [12], [4, 4, 12], [7, 7, 7]]
[[12], [4, 12], [12], [7, 12], [9, 9], [12], [11], [6, 8], [12], [7, 12], [10, 10], [7, 12], [4, 4, 8], [4, 4, 12], [7, 11]]
[[12], [12], [12], [12], [12], [12], [9, 9], [4, 4, 4, 4, 4], [8, 8], [12], [7, 11], [10, 10], [7, 11], [12], [12], [6, 7, 7]]
[[12], [10], [9, 9], [12], [10], [7, 11], [12], [6, 12], [4, 12], [4, 4, 4, 4], [12], [7, 7], [8, 8], [7, 11], [12], [12], [12]]
[[12], [12], [8, 8], [9, 9], [12], [12], [4, 4, 10], [4, 4, 4], [7, 7], [12], [10], [12], [11], [12], [12], [6, 11], [7, 7], [12]]
[[12], [7, 7], [12], [12], [9], [4, 11], [12], [8, 8], [4, 4, 4, 4], [12], [11], [7, 7], [6, 10], [12], [10], [12], [12], [12], [9]]
[[11], [4, 11], [10], [7, 7], [12], [12], [12], [10], [6], [12], [8, 8], [12], [7], [4, 4, 4, 4], [7, 9], [12], [12], [12], [12], [9]]
[[12], [11], [10], [9], [12], [4, 6], [12], [12], [10], [], [12], [7, 7], [9], [8, 8], [11], [12], [7, 7], [12], [12], [12], [4, 4, 4, 4]]
[[9], [8], [12], [6, 7], [12], [8], [4, 4, 4], [12], [12], [10], [12], [12], [9], [10], [11], [7], [12], [4, 4], [12], [7, 7], [12], [11]]
[[12], [12], [7, 7], [9], [12], [4, 10], [7, 7], [12], [4, 8], [12], [4, 4, 4], [], [12], [12], [11], [8], [11], [], [9], [12], [12], [6], [10]]
[[10], [11], [], [8], [12], [8], [10], [6], [9], [7], [12], [12], [7], [12], [12], [12], [11], [4, 7], [12], [4, 7], [9], [12], [4, 4, 4], [12]]
[[12], [8], [12], [4], [12], [10], [11], [8], [9], [12], [6], [], [10], [11], [12], [4, 9], [7], [12], [7], [7], [12], [12], [12], [7], [4, 4, 4]]
[[9], [10], [12], [11], [10], [7], [12], [], [12], [4, 4], [6], [12], [8], [8], [9], [12], [7], [7], [12], [12], [11], [12], [4, 4, 4], [], [7], [12]]
[[7], [7], [12], [10], [11], [7], [7], [12], [4, 4, 4], [], [10], [], [12], [12], [12], [9], [12], [12], [], [8], [11], [9], [], [12], [4, 6], [12], [4, 8]]
-EndAllocation

Instance: [[1], [237], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 11], [6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[11, 11, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [12, 12, 12, 12, 12, 12, 12, 12]]
[[6], [6, 6, 6, 6, 6, 6, 6, 11, 11, 11], [6, 6, 6, 6, 6, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [6, 6, 6, 6, 11, 11, 11], [12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 12], [6, 6, 6, 6, 6, 6, 6, 6], [11, 11, 11, 12], [12, 12, 12, 12]]
[[], [11, 11, 11, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 11, 11], [12, 12], [12, 12, 12], [6, 6, 12, 12]]
[[], [11, 11, 11], [12, 12, 12], [], [6, 6, 6, 6, 6, 6], [6, 6, 12], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [6, 6, 6, 12], [12, 12], [6, 12, 12], [11, 11], [12, 12], [11, 12]]
[[], [6, 6, 6, 6], [12, 12], [6, 6, 12], [11, 12], [11, 11], [6, 6, 6, 6], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12]]
[[], [12], [6, 6, 6, 6], [12, 12], [6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [11, 12], [11, 11]]
[[], [12, 12], [], [11, 12], [6, 6, 6, 6], [12, 12], [6, 6, 12], [], [12, 12], [6, 6, 6, 6], [11, 11], [6, 6, 6, 6], [12, 12]]
[[12], [12], [6, 6, 6], [6, 12], [6, 6, 6], [6, 12], [11, 11], [6, 12], [6, 12], [6, 12], [6, 11], [12], [6, 12], [6, 12]]
[[12], [11], [6, 6, 6], [6, 12], [12], [6, 12], [6, 11], [12], [6, 6], [6, 12], [6, 11], [6, 12], [6, 12], [6, 12], [6, 12]]
[[12], [11], [11], [6, 6, 6], [12], [6, 12], [6, 6, 6], [12], [6, 11], [6, 6, 6], [6, 12], [6, 12], [12], [12], [12], [6, 12]]
[[12], [12], [12], [6, 6, 6], [12], [12], [12], [6, 6, 6], [12], [6, 6, 6], [6, 6, 6], [6, 11], [12], [6, 11], [12], [12], [11]]
[[12], [12], [], [11], [12], [12], [6, 6, 6], [6, 11], [12], [6, 6, 6], [12], [12], [12], [11], [6, 6, 6], [6, 12], [12], [6, 6, 6]]
[[12], [12], [12], [6, 6], [6, 11], [11], [6, 6], [6, 6], [6, 6], [12], [12], [12], [12], [6, 6], [6, 6], [12], [6, 11], [12], [12]]
[[12], [6, 6], [11], [11], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6], [12], [11], [12], [12], [6, 6], [12], [6, 6], [12], [6, 6]]
[[12], [11], [6, 6], [12], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6], [6, 6], [12], [12], [], [12], [12], [12], [11], [6, 6], [6, 6]]
[[11], [11], [6, 6], [12], [12], [12], [6, 6], [6, 6], [11], [12], [12], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [], [], [12], [6, 6]]
[[], [6, 6], [12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [], [12], [12], [6, 6], [12], [6, 6], [12], [11], [12], [], [12], [6, 6], [11], [11]]
[[12], [6, 6], [], [12], [12], [12], [12], [11], [12], [], [6, 6], [6, 6], [], [], [11], [6, 6], [12], [11], [6, 6], [12], [6, 6], [6, 6], [12], [12]]
[[], [12], [12], [], [12], [12], [6, 6], [12], [12], [6, 6], [11], [6, 6], [6, 6], [6, 6], [12], [6, 6], [12], [], [12], [6, 6], [12], [11], [], [11], []]
[[], [12], [12], [12], [6, 6], [12], [6, 6], [], [12], [12], [12], [11], [], [6, 6], [], [], [6, 6], [6, 6], [11], [12], [], [11], [12], [12], [6, 6], [6, 6]]
[[], [12], [], [12], [12], [12], [6, 6], [11], [], [], [11], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [12], [], [12], [12], [], [12], [12], [11], [12], [6, 6]]
-EndAllocation

Instance: [[1], [236], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11], [6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11], [12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11], [6, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12]]
[[], [9, 12, 12, 12, 12], [6, 6, 6, 6, 11, 12, 12], [12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 12], [6, 6, 6, 6, 6, 6, 6, 6], [9, 11, 12, 12], [12, 12, 12, 12]]
[[], [11, 12, 12], [6, 6, 6, 6, 6, 6, 6], [9, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 12, 12], [9, 12, 12], [12, 12], [6, 6, 12, 12]]
[[], [11, 12, 12], [12, 12, 12], [], [6, 6, 6, 6, 6, 6], [6, 6, 12], [9, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [6, 6, 6, 12], [12, 12], [6, 12, 12], [12], [12, 12], [9, 11, 12]]
[[12], [6, 6, 6, 6], [9, 12], [6, 6, 6], [12, 12], [11, 12], [6, 6, 6], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12]]
[[], [12], [6, 6, 6, 6], [12, 12], [6, 9], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 12], [11, 12]]
[[], [12, 12], [6, 6], [12, 12], [6, 6, 6, 6], [12, 12], [6, 6], [], [12, 12], [6, 6, 6, 6], [11, 12], [6, 6, 9], [12, 12]]
[[12], [6, 12], [6, 6, 6], [6, 12], [6, 6, 6], [9, 12], [11], [6, 12], [6, 12], [6, 12], [6, 12], [12], [6, 12], [6, 12]]
[[12], [12], [6, 6, 6], [6, 12], [6, 6, 6], [9, 12], [12], [6, 6, 6], [6, 12], [6, 12], [11], [6, 12], [12], [6, 12], [12]]
[[12], [12], [11], [6, 6, 6], [12], [6, 12], [6, 6, 6], [12], [6, 6, 6], [6, 12], [6, 12], [6, 12], [12], [12], [12], [6, 9]]
[[12], [12], [12], [6, 6, 6], [12], [12], [12], [6, 6, 6], [12], [6, 9], [6, 6, 6], [6, 12], [], [6, 12], [6, 12], [6, 12], [11]]
[[12], [12], [], [12], [12], [12], [6, 6, 6], [6, 11], [12], [6, 6, 6], [12], [12], [6, 12], [12], [6, 6], [6, 6, 6], [12], [6, 9]]
[[12], [12], [6, 6], [12], [6, 6], [6, 11], [6, 6], [12], [12], [12], [6, 9], [6, 6], [6, 6], [6, 6], [12], [12], [12], [12], [12]]
[[12], [6, 6], [11], [12], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6], [9], [12], [12], [12], [6, 6], [12], [6, 6], [12], [6, 6]]
[[12], [12], [6, 6], [6, 9], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6], [6, 6], [12], [12], [], [12], [12], [12], [12], [6, 6], [6]]
[[11], [12], [6, 6], [12], [12], [12], [6, 6], [6, 6], [6, 6], [12], [12], [12], [6, 6], [], [12], [12], [12], [6, 6], [9], [], [12], [6, 6]]
[[], [6, 6], [12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [6], [12], [12], [9], [12], [6], [12], [6, 6], [12], [], [12], [6, 6], [12], [11]]
[[12], [6, 6], [], [12], [12], [12], [9], [11], [12], [], [6, 6], [12], [], [12], [6, 6], [], [12], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [12]]
[[], [12], [12], [], [9], [12], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [6, 6], [12], [6, 6], [12], [], [12], [6, 6], [12], [12], [], [11], []]
[[12], [12], [12], [12], [6, 6], [12], [6, 6], [], [9], [12], [12], [6, 6], [], [6, 6], [], [], [], [6, 6], [11], [12], [], [12], [12], [12], [6, 6], [6, 6]]
[[], [12], [], [12], [12], [12], [6, 6], [], [12], [], [12], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [12], [], [12], [12], [], [12], [12], [11], [9], [6, 6]]
-EndAllocation

Instance: [[1], [235], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,27. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [8, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 8, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [6, 6, 6, 6, 11, 12, 12], [8, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 12], [6, 6, 6, 6, 6, 6, 6, 6], [11, 12, 12, 12], [8, 12, 12, 12]]
[[], [11, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [6, 6, 6, 6, 6, 6, 6], [8, 12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 12, 12], [12, 12], [8, 12, 12], [6, 6, 12, 12]]
[[], [11, 12, 12], [12, 12, 12], [], [6, 6, 6, 6, 6, 6], [6, 6, 12], [8, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [6, 6, 6, 6], [12, 12], [8, 12, 12], [11, 12], [12, 12], [12, 12]]
[[], [6, 6, 6, 6], [12, 12], [6, 6, 6], [12, 12], [11, 12], [6, 6, 6, 8], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12]]
[[], [12], [6, 6, 6, 6], [12, 12], [6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 8, 12], [11, 12]]
[[], [12, 12], [], [12, 12], [6, 6, 6, 6], [12, 12], [6, 6, 8], [], [12, 12], [6, 6, 6, 6], [11, 12], [6, 6, 6, 6], [12, 12]]
[[12], [12], [6, 6, 6], [6, 12], [6, 6, 6], [6, 12], [11], [6, 12], [6, 12], [6, 12], [6, 12], [8, 12], [6, 12], [6, 12]]
[[12], [8, 12], [6, 6, 6], [6, 12], [6, 6, 6], [12], [12], [6, 6, 6], [6, 12], [6, 12], [11], [6, 12], [12], [6, 12], [12]]
[[12], [8, 12], [11], [6, 6, 6], [12], [12], [6, 6, 6], [12], [6, 6, 6], [6, 6, 6], [6, 12], [12], [12], [12], [12], [6, 12]]
[[12], [12], [12], [6, 6, 6], [12], [12], [12], [6, 6, 6], [12], [6, 6, 6], [6, 6, 6], [6, 8], [12], [6, 12], [12], [12], [11]]
[[12], [12], [], [12], [12], [12], [6, 6, 6], [6, 11], [12], [6, 6, 6], [12], [12], [12], [8], [6, 6, 6], [6, 12], [12], [6, 6, 6]]
[[12], [12], [12], [6, 6], [12], [6, 11], [6, 6], [6, 6], [6, 6], [12], [12], [12], [12], [6, 6], [6, 6], [12], [12], [12], [6, 8]]
[[12], [6, 6], [11], [12], [12], [12], [8], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [12], [6, 6], [12], [6, 6], [12], [6, 6]]
[[12], [12], [6, 6], [6, 8], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6], [6, 6], [12], [12], [], [12], [12], [12], [12], [6, 6], [6]]
[[11], [12], [6, 6], [8], [12], [12], [6, 6], [6, 6], [6, 6], [12], [12], [12], [6, 6], [], [12], [12], [12], [6, 6], [12], [], [12], [6, 6]]
[[], [6, 6], [12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [], [12], [12], [6, 6], [12], [6, 8], [12], [6], [12], [], [12], [6, 6], [12], [11]]
[[12], [6, 6], [], [12], [12], [12], [12], [11], [12], [], [6, 6], [6, 6], [], [12], [6, 6], [], [12], [6, 6], [6, 6], [12], [8], [6, 6], [12], [12]]
[[], [12], [12], [], [12], [12], [6, 6], [12], [8], [6, 6], [12], [6, 6], [6, 6], [6, 6], [12], [6, 6], [12], [], [12], [6, 6], [12], [12], [], [11], []]
[[], [12], [12], [12], [6, 6], [12], [6, 6], [], [12], [12], [12], [6, 6], [], [6, 6], [], [], [8], [6, 6], [11], [12], [], [12], [12], [12], [6, 6], [6, 6]]
[[], [12], [], [12], [12], [12], [6, 6], [], [12], [], [12], [], [6, 6], [6, 6], [6, 6], [6, 6], [6, 6], [12], [], [12], [12], [], [12], [12], [11], [8], [6, 6]]
-EndAllocation

Instance: [[1], [252], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[11, 11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [6, 6, 11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 5, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [11, 11, 12, 12], [6, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [6, 6, 11, 11], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 11, 11], [12, 12, 12], [12, 12, 12], [6, 6, 12, 12], [12, 12, 12]]
[[], [12, 12], [6, 6, 12, 12], [11, 11, 12], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 6, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [11, 11, 12], [12, 12]]
[[], [5, 5, 5, 6, 6], [12, 12], [12, 12], [12, 12], [11, 11], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 11, 11], [12, 12], [12, 12], [12], [5, 5, 5, 5], [6, 6, 12]]
[[], [5, 5, 5, 5, 5], [6, 6, 12], [12, 12], [11, 11], [12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 12], [12, 12], [12, 12], [12, 12], [6, 6, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [11, 11], [12, 12], [], [5, 5, 5, 5]]
[[12], [11, 11], [12], [5, 5, 12], [12], [12], [5, 5, 12], [6, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [6, 12], [5, 5, 12]]
[[12], [6, 12], [5, 12], [5, 12], [5, 12], [6, 12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [11], [5, 12], [12]]
[[12], [12], [12], [12], [6, 11], [5, 12], [12], [5, 12], [12], [5, 12], [6, 12], [12], [5, 12], [5, 5, 5, 5], [11], [5, 12], [5, 12]]
[[12], [12], [12], [5, 5, 5], [12], [6, 11], [11], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12], [6, 12]]
[[12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [5, 11], [12], [12], [12], [12], [5, 6, 6], [12], [12], [5, 12], [11], [12], [12]]
[[12], [12], [12], [12], [12], [6, 6], [5, 5, 5], [12], [12], [5, 11], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [5, 5, 5], [11], [12], [6, 6], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [11], [12], [12], [12], [5]]
[[12], [12], [12], [12], [12], [5], [11], [12], [5, 5, 5], [12], [5, 5, 5], [6, 6], [], [11], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5]]
[[11], [12], [12], [12], [12], [5, 5], [12], [11], [5, 5], [12], [5, 5], [12], [], [12], [12], [12], [12], [6, 6], [5, 5], [12], [12], [12], [5, 5]]
[[12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [], [], [5, 5], [12], [11], [12], [5, 5], [12], [12], [5, 5], [12], [6, 6], [12], [11], [5, 5]]
[[12], [11], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12], [], [], [5, 5], [6, 6], [12]]
[[11], [12], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [], [12], [12], [12], [12], [12], [11], [12], [5, 5], [], [12], [6, 6]]
[[12], [], [5, 5], [12], [12], [12], [12], [], [12], [5, 5], [12], [12], [5, 5], [], [12], [], [6, 6], [11], [5, 5], [5, 5], [12], [], [11], [12], [12], [12], [12]]
[[], [], [12], [5, 5], [12], [5, 5], [6, 6], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [], [11], [], [5, 5], [12], [11], [12], [], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [251], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 10, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [6, 6, 10, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12], [5, 11, 12, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [10, 11, 12, 12], [6, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [6, 6, 11, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 10, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 5, 11], [12, 12, 12], [12, 12, 12], [6, 6, 10, 12], [12, 12, 12]]
[[], [10, 12], [6, 6, 12, 12], [11, 12, 12], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 6, 12], [10, 12, 12], [5, 5, 5, 5, 12], [12, 12], [11, 12], [12, 12]]
[[], [5, 5, 5, 6, 6], [10, 12], [12, 12], [12, 12], [11, 12], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 11, 12], [12, 12], [5, 10, 12], [12], [5, 5, 5], [6, 6, 12]]
[[], [5, 5, 5, 5, 5], [6, 6, 12], [12, 12], [11], [10, 12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 12], [12, 12], [12, 12], [12, 12], [6, 6, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [11, 12], [10, 12], [], [5, 5, 5, 5]]
[[12], [5, 5, 11], [12], [5, 5, 12], [12], [12], [5, 5, 12], [6, 12], [10, 12], [12], [12], [12], [5, 5, 12], [6, 12], [5, 5, 12]]
[[12], [6, 12], [6, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [10, 11], [12], [12], [12], [5, 12], [12]]
[[12], [12], [12], [12], [6, 12], [5, 12], [12], [5, 12], [12], [5, 12], [6, 12], [12], [5, 12], [5, 5, 5, 5], [11], [5, 10], [5, 12]]
[[12], [12], [12], [5, 5, 5], [12], [6, 12], [11], [12], [12], [5, 12], [5, 10], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12], [6, 12]]
[[12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 10], [5, 5, 5], [12], [12], [12], [12], [5, 6, 6], [12], [12], [5, 12], [11], [12], [12]]
[[12], [12], [12], [10], [12], [6, 6], [5, 5, 5], [12], [12], [5, 11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [5, 5, 5], [11], [12], [6, 10], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [6], [12], [5]]
[[12], [12], [12], [12], [12], [5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [6, 6], [], [11], [12], [10], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [5, 5], [10], [11], [5, 5], [12], [5, 5], [12], [], [12], [12], [12], [12], [6, 6], [5, 5], [12], [12], [12], [5, 5]]
[[12], [12], [10], [5, 5], [12], [12], [12], [12], [12], [], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [6, 6], [12], [11], [5, 5]]
[[12], [12], [10], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12], [], [], [5, 5], [6, 6], [12]]
[[11], [12], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [10], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [], [12], [6, 6]]
[[12], [], [5, 5], [12], [12], [10], [12], [], [12], [5, 5], [12], [12], [5, 5], [], [12], [], [6, 6], [11], [5, 5], [5, 5], [12], [], [12], [12], [12], [12], [12]]
[[], [], [12], [5, 5], [12], [5, 5], [6, 6], [12], [12], [10], [12], [12], [5, 5], [12], [], [5, 5], [], [11], [], [5, 5], [12], [12], [12], [], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [250], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12], [5, 12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [10, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 12], [10, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5], [12]]
[[12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12]]
[[], [12, 12], [12, 12], [], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 10, 12], [5, 12, 12], [5, 12, 12], [5, 12, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [10, 12], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [], [5, 5, 10]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [12], [5, 5, 12], [12], [10, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 10], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 5, 10], [5, 12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 12], [10], [12], [12], [5, 12], [12], [12]]
[[12], [12], [12], [5, 12], [12], [5, 10], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 5], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [], [12], [], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [10], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [], [5, 5], [10], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12]]
[[10], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [], [5, 5], [12], [12], [], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [12], [], [12], [10], [12]]
[[], [12], [12], [12], [12], [12], [10], [12], [5, 5], [], [], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [], [], [12], [], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [], [10], [12]]
[[], [10], [5, 5], [12], [], [12], [12], [], [12], [], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], []]
-EndAllocation

Instance: [[1], [249], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12], [10, 11, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12], [10, 11, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [5, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12], [5, 12, 12, 12, 12], [11, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [10, 12, 12, 12], [12, 12, 12], [5, 5, 5, 11]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 12], [10, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [10, 11, 12], [5, 5, 5, 5, 5], [12]]
[[12, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12]]
[[], [11, 12], [12, 12], [], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 10, 12], [5, 12, 12], [5, 12, 12], [5, 12, 12], [5, 12, 12]]
[[], [12, 12], [11, 12], [5, 5, 5, 5, 5], [10, 12], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [11], [5, 5, 10]]
[[], [12], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [11], [], [12, 12], [5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [11], [5, 5, 12], [12], [10, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [12], [12], [5, 5, 5, 5], [12], [12], [10, 11], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 12], [5, 11], [5, 5, 5, 5], [5, 5, 10], [5, 12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [11], [12], [12], [5, 5, 5], [5, 12], [10], [12], [12], [5, 12], [12], [12]]
[[12], [12], [12], [5, 12], [12], [5, 10], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [11]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [12], [12], [11], [5, 5, 5], [12], [5, 5, 5]]
[[12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 5], [12], [5, 11], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [], [11], [], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [10], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [], [5, 5], [10], [12], [12], [12], [11], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12]]
[[10], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [11], [], [5, 5], [12], [12], [], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12], [], [11], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [12], [5, 5], [12], [10], [12]]
[[], [12], [12], [12], [12], [12], [10], [12], [5, 5], [], [], [11], [5, 5], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [], [], [12], [], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [], [10], [12]]
[[], [10], [5, 5], [12], [], [12], [12], [11], [12], [], [], [12], [5, 5], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], []]
-EndAllocation

Instance: [[1], [248], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12]]
[[], [5, 5, 5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 10, 10], [5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 12, 12, 12], [5, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [10, 10, 12, 12], [12, 12, 12, 12], [5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 12], [10, 10, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [10, 10, 12], [5, 5, 5, 5, 5], [12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 10, 12]]
[[], [12, 12], [12, 12], [], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 5, 10, 10], [5, 12, 12], [5, 12, 12], [12, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [10, 10], [12, 12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [5, 12], [12, 12], [12], [], [5, 10, 10]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5], [10, 10], [12, 12], [12, 12], [12, 12]]
[[12], [12], [12], [5, 5, 12], [12], [10, 10], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [10, 10], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [10, 10], [5, 12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [10], [12], [5, 5, 5], [5, 12], [10], [12], [12], [5, 12], [12], [12]]
[[10], [12], [12], [5, 12], [12], [5, 10], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [10], [12], [10], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [10], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 5], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [], [12], [], [12], [5, 5, 5], [5, 5, 5], [12], [10], [12], [10], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [10], [12], [], [5, 5], [10], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12]]
[[10], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [10], [12], [12], [], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [10], [12], [], [5, 5], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [12], [], [12], [10], [12]]
[[], [12], [12], [12], [12], [12], [10], [12], [5, 5], [], [], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [10]]
[[12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [], [], [12], [], [12], [12], [5, 5], [12], [12], [10], [5, 5], [12], [12], [5, 5], [], [12], [12], [], [10], [12]]
[[], [10], [5, 5], [12], [], [12], [12], [], [10], [], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], []]
-EndAllocation

Instance: [[1], [247], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 12, 12, 12, 12, 12, 12, 12]]
[[11, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11], [12, 12, 12, 12, 12, 12]]
[[12], [8, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12, 12]]
[[], [5, 8, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [11, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5], [11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 8]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [8, 12, 12], [5, 5, 5, 5, 12], [11, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5], [8, 12, 12], [], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [11, 12], [8, 12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [5, 12, 12], [8, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12, 12], [12, 12]]
[[], [8], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12], [12, 12], [11], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [8, 12]]
[[], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 8], [12, 12], [12], [11, 12], [12, 12], [5], [], [5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [8, 12], [12], [5, 5, 12], [5, 5, 11], [12], [12], [5, 5, 12]]
[[12], [12], [5, 5, 11], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [8, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [8, 11], [5, 12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12]]
[[12], [5, 5, 8], [12], [5, 12], [11], [5, 12], [12], [5, 12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [11], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 5, 5], [8]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5], [11], [12], [12], [12], [12], [12], [5, 5, 5], [5, 8], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [11], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [8]]
[[12], [5, 5, 5], [8], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [11], [], [], [12]]
[[12], [12], [5, 5], [5], [12], [12], [12], [5, 5], [5, 8], [5, 5], [12], [12], [11], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [12], [8], [5, 5], [12], [12], [5, 5], [11], [12], [12], [], [12], [12], [12], [5, 5], [12]]
[[12], [5, 5], [12], [12], [8], [12], [12], [12], [11], [12], [], [5, 5], [], [12], [12], [12], [12], [5, 5], [12], [], [12], [5, 5], [5, 5], [12], [5, 5]]
[[], [12], [12], [12], [12], [5, 5], [8], [], [11], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [], [5, 5], [12], [5, 5], [], [12]]
[[12], [], [11], [12], [5, 5], [12], [12], [5], [12], [5, 8], [12], [5, 5], [12], [], [12], [12], [], [], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], []]
[[12], [], [5, 5], [12], [12], [12], [12], [8], [11], [], [5, 5], [], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [], [5, 5], []]
-EndAllocation

Instance: [[1], [246], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [6, 12, 12, 12, 12, 12, 12]]
[[], [6, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [6, 12, 12, 12, 12]]
[[], [5, 6, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12]]
[[], [12, 12, 12], [6, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [], [12, 12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [5, 12, 12], [5, 12, 12], [5, 5, 5, 5, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 6], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12]]
[[], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 6]]
[[], [12, 12], [12, 12], [], [12, 12], [5, 5], [12, 12], [12, 12], [6, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [6, 12], [12, 12], [12, 12], [12, 12], [], [], [5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [6, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12]]
[[12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [6, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12]]
[[12], [12], [6, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [12], [5, 5, 5], [6, 12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [6], [5, 12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [6], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [], [5, 5, 5], [6], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [], [6], [], [12]]
[[12], [12], [5, 6], [5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [6], [12], [], [12], [12], [12], [5, 5], [12]]
[[12], [5, 5], [12], [12], [12], [12], [12], [6], [], [12], [], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [], [12], [5, 5], [5, 5], [12], [5, 5]]
[[], [12], [12], [12], [12], [5, 5], [12], [], [6], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [], [5, 5], [12], [5, 5], [], [12]]
[[12], [], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [12], [12], [], [], [5, 5], [12], [12], [5, 5], [12], [5, 5], [6], [12], []]
[[12], [], [5, 5], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [], [12], [], [12], [12], [6], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [], [12], []]
-EndAllocation

Instance: [[1], [245], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12]]
[[], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12], [12, 12], [], [12, 12], [5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12], [5], [], [5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12]]
[[12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [], [], [5], [12]]
[[12], [12], [5, 5], [5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [], [12], [5], [12], [5, 5], [12]]
[[12], [5, 5], [12], [12], [12], [12], [12], [12], [], [12], [], [5, 5], [12], [12], [12], [12], [5], [5, 5], [12], [], [12], [5, 5], [5, 5], [12], [5, 5]]
[[12], [12], [12], [12], [12], [5, 5], [12], [], [], [12], [5, 5], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [12], [], [5, 5], [12], [5, 5], [], [12]]
[[12], [], [12], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [5, 5], [12], [], [12], [12], [], [], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], []]
[[12], [], [5, 5], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [], [5], []]
-EndAllocation

Instance: [[1], [244], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,28. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,28:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12]]
[[11, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [11, 12, 12, 12]]
[[], [5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5], [11, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [11, 12], [5, 12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12, 12], [12]]
[[], [], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [], [12, 12], [11], [12, 12], [5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12], [11, 12], [12, 12], [5], [], [5, 5, 5, 5], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 11], [12], [12], [5, 12]]
[[12], [12], [5, 5, 11], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [11], [5, 12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [5, 12], [11], [5, 12], [12], [5, 12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [11], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [5, 12], [11], [12], [12], [], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [11], [5], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [11], [], [5], [12]]
[[12], [12], [5, 5], [5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [11], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [12], [], [12], [5], [12], [5, 5], [12]]
[[12], [5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [], [5, 5], [], [12], [12], [12], [5], [5, 5], [12], [], [12], [5, 5], [5, 5], [12], [5, 5]]
[[], [12], [12], [12], [12], [5, 5], [12], [], [11], [12], [5, 5], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [12], [], [5, 5], [12], [5, 5], [], [12]]
[[12], [], [11], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [5, 5], [12], [], [12], [12], [], [], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], []]
[[12], [], [5, 5], [12], [12], [12], [12], [5, 5], [11], [], [5, 5], [], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [], [5], []]
-EndAllocation

Instance: [[1], [261], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [174, 116, 88, 70, 58, 50, 44, 38, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 12], Opt: [131, 87, 66, 53, 44, 38, 33, 29, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[2, 5, 6, 7, 7, 7, 7, 7, 9, 9, 9, 12], [3, 4, 8, 8, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 12, 12], [2, 4, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11], [3, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [2, 3, 7, 7, 7, 12, 12, 12, 12, 12], [8, 8, 12, 12, 12, 12, 12, 12], [4, 5, 6, 7, 7, 9, 9, 9, 10, 10, 11]]
[[12], [6, 12, 12, 12, 12, 12], [2, 4, 5, 9, 9, 9, 10, 11], [7, 7, 7, 7, 7, 8, 8, 10], [3, 12, 12, 12, 12, 12]]
[[], [5, 7, 7, 7, 7, 7, 8, 8], [3, 4, 11, 12, 12], [2, 9, 9, 9, 12, 12], [6, 12, 12, 12, 12], [10, 10, 12, 12, 12]]
[[], [2, 5, 8, 8, 9, 9, 9], [7, 12, 12, 12], [7, 7, 7, 7], [10, 10, 12, 12], [3, 4, 6, 11, 12, 12], [12, 12, 12, 12]]
[[], [8, 8, 12, 12], [12, 12], [9, 9, 9, 12], [3, 7, 7, 7, 7, 7], [6, 12, 12, 12], [4, 5, 10, 10, 11], [2, 12, 12, 12]]
[[], [12, 12, 12], [6, 11, 12], [12, 12, 12], [5, 9, 9, 9], [2, 4, 10, 10], [7, 7, 7, 7, 7], [12, 12, 12], [3, 8, 8, 12]]
[[], [7, 7, 7], [4, 11, 12], [2], [12, 12, 12], [12, 12, 12], [12, 12, 12], [6, 7, 7, 8, 8], [3, 10, 10, 12], [5, 9, 9, 9]]
[[], [4, 5, 8, 8], [7, 7, 7, 7], [6, 11], [7, 12, 12], [12, 12], [12, 12], [10, 10, 12], [3, 9, 9, 9], [2, 12, 12], [12, 12]]
[[], [7, 7, 7, 7], [12, 12], [8, 8, 10], [12, 12], [3, 7, 11], [12, 12], [2, 4, 5, 10], [6, 12], [12, 12], [12, 12], [9, 9, 9]]
[[], [9, 9, 9], [], [12, 12], [5, 11, 12], [2, 12, 12], [6], [3, 12, 12], [10, 10], [4, 7, 8, 8], [12, 12], [12, 12], [7, 7, 7, 7]]
[[], [12, 12], [8, 8], [6, 9, 9], [7, 7], [9, 11], [3, 12], [12], [12, 12], [12, 12], [12, 12], [5, 10, 10], [7, 7, 7], [2, 4, 12]]
[[], [4, 12], [9, 9], [12, 12], [12], [2, 8, 8], [9], [11, 12], [7, 7, 7], [12, 12], [3, 10], [12, 12], [5, 10], [12, 12], [6, 7, 7]]
[[12], [2, 12], [5, 12], [11], [7, 7, 7], [7, 12], [6, 12], [9, 12], [7, 12], [12], [12], [9, 9], [12], [10, 10], [4, 8, 8], [3, 12]]
[[12], [6, 12], [12], [4, 8, 8], [10, 10], [9, 9], [12], [12], [12], [5, 12], [3, 12], [7, 7, 7], [12], [12], [2, 7, 7], [11], [9, 12]]
[[12], [12], [12], [3, 12], [12], [12], [9, 10], [7, 7], [6, 10], [2, 5, 11], [12], [4, 12], [12], [7, 7], [12], [7, 12], [9, 9], [8, 8]]
[[12], [12], [12], [12], [12], [10], [9, 9], [12], [12], [12], [2, 9], [6, 11], [3, 7, 7], [7, 10], [12], [4, 7, 7], [8, 8], [5, 12], [12]]
[[], [9, 9], [12], [2, 7, 7], [5, 7], [12], [11], [12], [4, 12], [7, 7], [8, 10], [12], [12], [12], [12], [12], [3, 6, 9], [12], [12], [8, 10]]
[[9], [2, 4, 9], [10], [6], [8, 8], [12], [7, 7], [9], [7, 7], [3, 12], [12], [12], [5, 11], [7, 10], [12], [12], [12], [12], [12], [12], [12]]
[[12], [2, 10], [12], [12], [12], [7, 7], [8, 8], [12], [3, 12], [12], [4, 11], [5], [7, 7], [9], [12], [12], [12], [12], [6], [9], [10], [7, 9]]
[[], [12], [9], [8, 8], [12], [7, 7], [7, 7], [10], [5, 10], [9], [12], [7], [2, 12], [12], [3, 12], [12], [12], [9], [12], [4, 12], [12], [11], [6]]
[[12], [10], [12], [5], [10], [7, 7], [4, 8], [9], [12], [11], [9], [7, 7], [12], [2, 12], [12], [12], [12], [8], [7], [12], [3, 9], [6], [12], [12]]
[[12], [12], [12], [2, 3, 5], [12], [12], [11], [12], [10], [9], [8], [12], [], [12], [12], [8], [12], [4], [9], [10], [9], [7, 7], [6, 7], [7, 7], [12]]
[[12], [6], [12], [12], [], [5, 9], [12], [10], [12], [8], [9], [7, 7], [4], [12], [12], [3, 8], [12], [12], [11], [], [2, 9], [7, 7], [12], [7], [10], [12]]
[[8], [12], [7], [3, 7], [6], [12], [12], [12], [4], [11], [12], [12], [12], [9], [7], [7], [7], [9], [8], [10], [12], [9], [12], [10], [12], [2, 5], [12]]
[[7], [12], [], [5], [11], [9], [9], [8], [12], [12], [4, 6], [12], [12], [3, 7], [7], [12], [10], [12], [7], [7], [12], [2], [12], [8], [12], [9], [10], [12]]
[[], [4, 5], [8], [12], [2, 6], [3], [12], [12], [9], [12], [12], [12], [10], [12], [], [12], [7], [10], [7], [8], [12], [7], [9], [9], [7], [12], [7], [11], [12]]
-EndAllocation

Instance: [[1], [260], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [173, 116, 86, 69, 58, 50, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [130, 87, 65, 52, 44, 38, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [12, 12, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 11, 12, 12, 12], [9, 12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5], [9, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 11]]
[[], [12, 12, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12], [5, 5, 5, 5, 5, 9], [12, 12, 12]]
[[12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12, 12]]
[[], [5, 12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [9, 12], [5, 5, 12], [12, 12], [12, 12], [11, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [11], [12, 12], [9, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5]]
[[], [12, 12], [12, 12], [5, 5], [12, 12], [9], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 12]]
[[], [11], [12, 12], [], [], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [9, 12], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [9, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [12], [11]]
[[12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [9, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 5, 11]]
[[12], [12], [5, 12], [12], [12], [12], [5, 5, 9], [11], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [5, 12], [5, 11], [5, 5, 5], [12], [9], [12], [12], [12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [5, 12], [12], [12]]
[[12], [9], [12], [5, 5, 5], [12], [5, 11], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [11], [12], [12], [5, 5, 5], [5, 5, 5], [9], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [12], [], [12], [12], [12], [9], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [11], [12], [12], [12]]
[[12], [], [12], [12], [12], [12], [5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [11], [12], [5, 9], [12], [12], [12], [12], [], [12], [5, 5, 5], [12]]
[[12], [5], [5, 5], [5, 5], [5, 5], [12], [12], [5, 9], [12], [], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [11], [12]]
[[12], [12], [12], [12], [5, 9], [12], [12], [12], [12], [12], [11], [], [12], [5, 5], [], [5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [12]]
[[12], [5, 5], [12], [5, 5], [12], [12], [], [12], [12], [12], [11], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [12], [9], [12], [12]]
[[], [5, 5], [5, 5], [12], [12], [12], [12], [12], [11], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [5, 5], [12], [12], [9], [5, 5], [12], [], [], [12], [12]]
[[12], [5, 5], [12], [], [12], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [9], [], [], [11], [12], [], [5, 5], [12], [12], [12]]
[[12], [5, 5], [], [12], [], [5, 5], [12], [12], [], [5, 5], [], [11], [], [12], [5, 5], [12], [], [9], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12]]
-EndAllocation

Instance: [[1], [259], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [173, 116, 86, 69, 58, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [130, 87, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[9, 10, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [10, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12], [9, 12, 12, 12], [10, 12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 12], [9, 12, 12, 12], [10, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 9], [12, 12, 12]]
[[12], [10, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12, 12]]
[[12], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [9, 12], [5, 5, 10], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [10, 12], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [9, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5]]
[[], [12, 12], [12, 12], [5, 5], [12, 12], [9], [12], [10], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [], [12, 12], [], [5, 5], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [9, 12], [5, 5, 10], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [5, 5, 5, 5], [9, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [10, 12], [12], [12]]
[[12], [5, 12], [5, 5, 10], [12], [5, 12], [12], [5, 12], [5, 12], [9, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12]]
[[12], [10], [5, 12], [12], [12], [12], [5, 5, 9], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [10], [5, 12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [5, 9], [12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [12]]
[[12], [9], [12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [12], [10], [12]]
[[12], [10], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [9], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [12], [], [12], [12], [12], [9], [10], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12]]
[[10], [], [12], [12], [12], [12], [5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 9], [12], [12], [12], [12], [], [12], [5, 5, 5], [12]]
[[12], [5], [5, 5], [5, 5], [5, 5], [12], [12], [5, 9], [12], [], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [10]]
[[12], [12], [12], [12], [5, 9], [12], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [10]]
[[12], [5, 5], [12], [5, 5], [12], [10], [], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [12], [9], [12], [12]]
[[], [5, 5], [5, 5], [10], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [5, 5], [12], [12], [9], [5, 5], [12], [], [12], [12], [12]]
[[12], [5, 5], [12], [], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [9], [], [], [5, 5], [12], [], [5, 5], [10], [12], [12]]
[[12], [5, 5], [], [12], [], [5, 5], [12], [12], [], [5, 5], [], [12], [], [12], [5, 5], [12], [], [9], [12], [12], [12], [12], [5, 5], [12], [12], [10], [12], [5, 5], [12]]
-EndAllocation

Instance: [[1], [258], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12]]
[[6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12], [6, 12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 12], [12, 12, 12, 12], [6, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [6, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [6, 12], [5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [12, 12], [6, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [6, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 6, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 6]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [], [12, 12], [], [5, 5, 5, 6], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [], [12, 12], [], [5], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 6], [12, 12], [12, 12]]
[[12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [6, 12], [12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [6, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [12], [6, 12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12]]
[[12], [5, 12], [5, 12], [6, 12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [5, 12], [6], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [6], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [12], [], [6], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [6], [12], [12], [], [12], [5, 5, 5], [12]]
[[12], [5], [5, 5], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [12], [12], [5, 5], [12], [12], [5, 6], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [12], [12], [5, 5], [12], [5, 5], [6], [5, 5], [5, 5], [12]]
[[12], [5, 5], [12], [5, 5], [12], [12], [], [12], [12], [], [12], [12], [6], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [12], [12], [12], [12]]
[[], [5, 5], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [5, 5], [6], [12], [12], [5, 5], [12], [], [12], [12], [12]]
[[12], [5, 5], [12], [], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [6], [5, 5], [5, 5], [12], [12], [12], [], [], [5, 5], [12], [], [5, 5], [12], [12], [12]]
[[12], [5, 5], [], [12], [12], [5, 5], [12], [12], [], [5, 5], [], [12], [], [12], [5, 5], [12], [], [], [12], [12], [12], [6], [5, 5], [12], [12], [5, 5], [12], [12], [12]]
-EndAllocation

Instance: [[1], [257], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5], [12, 12], [], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [], [12, 12], [], [5], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 12], [12], [12], [12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12]]
[[12], [5, 5, 5], [12], [], [12], [5], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [], [12], [12], [12], [12], [5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12]]
[[12], [5], [5, 5], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [12]]
[[12], [5, 5], [12], [5, 5], [12], [12], [5], [12], [12], [], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [12], [12], [12], [12]]
[[], [5, 5], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [], [], [12], [12]]
[[12], [5, 5], [12], [], [12], [5], [12], [], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [], [], [5, 5], [12], [], [5, 5], [12], [12], [12]]
[[12], [5, 5], [], [12], [12], [5, 5], [12], [12], [], [5, 5], [], [12], [], [12], [5, 5], [12], [], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5], [12]]
-EndAllocation

Instance: [[1], [256], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [170, 114, 85, 69, 57, 49, 42, 38, 34, 32, 29, 26, 25, 24, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [128, 86, 64, 52, 43, 37, 32, 29, 26, 24, 22, 20, 19, 18, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[4, 4, 4, 9, 9, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 8, 8, 8, 8, 8, 11, 11, 11]]
[[7, 7, 7, 7, 9, 9, 9], [4, 4, 4, 12, 12, 12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 10, 10, 11, 11, 11]]
[[7, 12, 12], [7, 11, 11, 11, 12, 12, 12], [4, 4, 4, 7, 8, 8, 8, 8, 8, 10, 10], [7, 9, 9, 9, 12, 12, 12]]
[[8, 12, 12, 12, 12, 12], [8, 8, 8, 8, 11, 11, 11], [4, 4, 4, 10, 10], [7, 7, 7, 7, 12, 12, 12], [9, 9, 9]]
[[7, 7, 7, 7], [12, 12, 12, 12], [12, 12, 12, 12], [11, 11, 11], [9, 9, 9, 10, 10], [4, 4, 4, 8, 8, 8, 8, 8]]
[[9, 10, 10, 12], [11, 12, 12, 12], [7, 7, 7, 7, 9, 11], [8, 8, 8, 8, 8], [4, 4, 4], [12, 12, 12, 12], [9, 11]]
[[7, 10, 12], [11], [7, 7, 7, 9, 9], [8, 8, 8, 8, 8], [10, 12, 12], [11, 11, 12], [4, 4, 4, 12, 12], [9, 12, 12]]
[[9, 9, 9], [7, 7, 7, 7, 8], [4, 4, 4], [8, 8, 8, 8], [12, 12, 12], [11, 11, 11], [12, 12, 12], [10, 10], [12, 12]]
[[7, 9, 9, 9], [11, 11, 11], [10, 12, 12], [8], [12, 12], [4, 4, 4], [7, 7, 7, 10], [8, 8, 8, 8], [12, 12], [12, 12]]
[[7, 7, 12], [7, 7, 9, 9], [8, 8, 8, 8], [12, 12], [8, 11], [10, 11, 11], [12, 12], [], [9, 10], [4, 4, 4, 12], [12, 12]]
[[4, 4, 4, 8, 8], [10, 10], [12, 12], [11], [12, 12], [9, 9, 9], [8, 8, 8], [12, 12], [7, 7, 7, 7], [12, 12], [11, 11], []]
[[10, 10], [8, 8, 8], [4, 4, 4, 9], [12, 12], [12, 12], [9, 9], [], [12, 12], [7, 7, 7], [11], [11, 11], [12, 12], [7, 8, 8]]
[[7, 8, 8], [7, 7, 7], [4, 4, 4, 12], [8, 8, 8], [], [11, 11], [], [12, 12], [11, 12], [9, 9], [12], [10, 10], [9, 12], [12, 12]]
[[10, 10], [7, 11], [9], [8, 8], [], [12, 12], [], [4, 4, 4], [11, 11], [7, 7, 7], [8, 8, 8], [12, 12], [12, 12], [12, 12], [9, 9]]
[[7, 7, 7], [12], [12], [11], [9, 9], [11], [12], [8, 12], [8, 12], [4, 4, 4], [8, 8], [10, 11], [12], [9, 12], [8, 12], [7, 10]]
[[7, 7, 7], [7, 12], [11], [], [9, 11], [8, 8], [11], [9, 12], [8, 12], [4, 4, 4], [10, 10], [12], [8, 8], [12], [12], [12], [9, 12]]
[[7, 9], [10, 10], [7, 7], [8, 8], [12], [9, 11], [12], [7, 12], [12], [12], [8, 12], [], [12], [4, 4, 12], [11], [4, 9], [11], [8, 8]]
[[7, 11], [12], [12], [9, 9], [8, 8], [4, 4, 4], [12], [10], [12], [11], [12], [11], [12], [7, 7], [8, 8], [7, 9], [12], [12], [8, 10]]
[[11], [12], [4, 4, 4], [11], [12], [12], [12], [7, 10], [7, 7], [8, 8], [12], [12], [12], [7, 9], [10], [12], [8, 9], [9], [8, 8], [11]]
[[7, 7], [12], [11], [8, 9], [12], [10], [12], [4, 4, 4], [12], [12], [7, 7], [8, 8], [9], [12], [9], [12], [11], [10], [8, 8], [11], [12]]
[[7, 8], [12], [12], [11], [12], [12], [4, 4, 4], [9], [7, 7], [10], [11], [10], [9], [11], [12], [12], [7], [9], [12], [8, 8], [12], [8, 8]]
[[7, 8], [10], [12], [12], [8, 8], [], [8, 8], [12], [], [9], [7, 9], [9], [10], [12], [12], [12], [11], [11], [12], [7, 7], [11], [12], [4, 4, 4]]
[[4, 4, 4], [10], [12], [8], [9], [7, 7], [11], [12], [8], [9], [8], [12], [12], [10], [12], [8], [12], [7, 7], [9], [11], [12], [8], [12], [11]]
[[7, 7], [12], [12], [11], [8], [10], [8], [12], [8], [12], [9], [12], [], [8], [7, 7], [12], [11], [12], [8], [9], [10], [9], [12], [4, 4, 4], [11]]
[[11], [12], [8], [9], [10], [8], [12], [8], [12], [7], [12], [12], [8], [12], [11], [7], [12], [12], [8], [9], [9], [4, 4, 4], [10], [7], [7], [11]]
[[7], [8], [9], [4, 4, 4], [12], [10], [8], [11], [8], [9], [12], [12], [10], [9], [], [8], [12], [11], [7], [12], [12], [12], [7], [12], [8], [11], [7]]
[[4, 4, 4], [11], [12], [12], [12], [], [12], [10], [], [12], [11], [11], [12], [12], [7], [8], [9], [8], [12], [7], [8], [7], [9], [8], [9], [10], [8], [7]]
[[7], [7], [9], [12], [], [12], [12], [12], [10], [8], [], [], [10], [12], [8], [12], [8], [12], [8], [7], [11], [4, 4, 4], [12], [7], [8], [11], [11], [9], [9]]
-EndAllocation

Instance: [[1], [255], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [170, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [128, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [11, 11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12]]
[[12], [11, 11, 12, 12], [5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 11, 11]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12], [12, 12, 12], [5, 5, 5, 5, 11, 11], [12, 12, 12], [5, 12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [11, 11, 12], [12, 12, 12]]
[[12, 12], [12, 12], [12, 12], [5, 11, 11], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [11, 11], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5, 5], [12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 12], [11, 11], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], []]
[[], [], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[12], [5, 5, 12], [12], [11, 11], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 12], [12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 5, 11], [12], [5, 12], [12], [5, 5, 11], [5, 12], [5, 12]]
[[12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [12], [12], [5, 12], [11]]
[[12], [12], [5, 5, 5, 5], [11], [5, 12], [5, 12], [5, 12], [12], [12], [11], [12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12]]
[[12], [11], [5, 12], [12], [5, 12], [12], [5, 5, 5], [5, 12], [12], [12], [5, 12], [11], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5]]
[[12], [5, 12], [5, 5], [12], [5, 5, 5], [5, 12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5]]
[[12], [12], [5, 11], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 11], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12]]
[[12], [], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [11], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [], [12], [5, 11]]
[[12], [12], [12], [5, 11], [5, 5, 5], [], [12], [5, 5], [12], [5, 11], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [], [5, 5, 5], [12], [], [12]]
[[12], [5, 5], [12], [], [5, 5], [11], [12], [12], [5, 5], [12], [12], [12], [11], [12], [5, 5], [12], [12], [12], [12], [12], [5], [5, 5], [12], [5, 5]]
[[12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5], [5, 5], [], [5, 5], [11], [12], [12], [11], [12], [5, 5], [12]]
[[12], [12], [12], [5, 5], [5, 5], [], [5, 5], [], [], [12], [5], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [11], [11], [12], [12]]
[[12], [12], [5, 5], [5, 5], [12], [], [11], [], [12], [5, 5], [5, 5], [5], [12], [12], [], [12], [12], [12], [12], [12], [], [5, 5], [12], [11], [12], [12], [5, 5]]
[[12], [], [5, 5], [], [12], [5], [12], [], [11], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [11], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5]]
[[12], [5], [11], [12], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [], [], [12], [12], [5, 5], [5, 5], [11], [12], [5, 5], [12], [], [], [], [12], [12], [12]]
-EndAllocation

Instance: [[1], [254], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 6, 9, 11, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [11, 12, 12, 12, 12, 12, 12], [6, 9, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [6, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12]]
[[], [11, 12, 12, 12], [5, 5, 9, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 6, 9, 11]]
[[], [5, 5, 5, 5, 5], [6, 9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 11], [12, 12, 12], [5, 12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [11, 12, 12], [6, 12, 12]]
[[12], [12, 12], [12, 12], [9, 11, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [6, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [11, 12], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 9], [5, 5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 6], [12, 12]]
[[], [5, 5, 5, 5, 5], [12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [6, 11, 12], [12, 12]]
[[], [6, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [9, 12], [12, 12], [5, 5, 5, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], []]
[[], [9], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [11], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 6], [12, 12]]
[[12], [5, 5, 12], [12], [11], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [9, 12], [12], [5, 5, 12], [6, 12], [5, 5, 12], [12], [12]]
[[12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [9, 12], [12], [6, 12], [12], [5, 5, 11], [5, 5, 5, 5], [5, 12]]
[[12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 12], [12], [12], [6, 12], [5, 5, 5, 5], [12], [5, 12], [9, 11]]
[[12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [11], [12], [5, 12], [5, 5, 5, 5], [12], [6, 9], [5, 12], [12], [12]]
[[12], [11], [5, 12], [9], [5, 12], [12], [5, 5, 5], [6, 12], [12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5]]
[[9], [5, 12], [5, 5], [12], [5, 5, 6], [5, 12], [12], [12], [12], [12], [11], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5]]
[[12], [12], [5, 11], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 6], [12], [9], [12], [12]]
[[12], [12], [5, 5, 5], [12], [6], [12], [12], [12], [12], [12], [12], [12], [11], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [9], [12], []]
[[12], [12], [12], [5, 11], [5, 5, 5], [], [9], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 6], [], [5, 5, 5], [12], [], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [9], [12], [5, 5], [12], [12], [12], [11], [5, 6], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [12], [5]]
[[12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [], [5, 5], [5, 9], [6], [12], [5], [5, 5], [], [5, 5], [11], [12], [12], [12], [12], [5, 5], [12]]
[[12], [12], [6], [5, 5], [5, 5], [], [5, 5], [], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [11], [], [12], [9]]
[[12], [12], [5, 5], [5, 5], [9], [], [11], [], [12], [5, 5], [5, 5], [], [12], [12], [], [12], [12], [12], [12], [12], [6], [5, 5], [12], [12], [12], [12], [5, 5]]
[[12], [], [5, 5], [12], [12], [], [12], [], [], [9], [12], [6], [5, 5], [12], [12], [12], [5, 5], [12], [11], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5]]
[[12], [], [11], [6], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [], [], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [9], [], [], [12], [12], [12]]
-EndAllocation

Instance: [[1], [253], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,29. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 30, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 23, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 6, 8, 8, 8, 8, 9, 9, 9, 11, 11, 11, 11, 11], [4, 5, 7, 7, 7, 10, 10, 10, 10, 12, 12, 12, 12, 12]]
[[3, 4, 10, 10, 10, 10, 12, 12, 12, 12, 12], [7, 7, 7, 11, 11, 11, 11, 11], [5, 6, 8, 8, 8, 8, 9, 9, 9]]
[[3, 4, 6, 8, 8, 8, 8, 10, 11, 12], [7, 7, 7], [5, 9, 9, 9, 11, 11, 11, 11], [10, 10, 10, 12, 12, 12, 12]]
[[3, 4, 8, 8, 8, 8], [11, 11, 11, 11, 11, 12], [6, 7, 7, 7, 12], [5, 10, 10, 10, 10], [9, 9, 9, 12, 12, 12]]
[[3, 12], [6, 9, 9, 9], [7, 12, 12, 12, 12], [11, 11, 11, 11, 11], [4, 5, 8, 8, 8, 8], [7, 7, 10, 10, 10, 10]]
[[3, 4, 5, 12, 12, 12], [7, 7, 7, 12, 12], [9, 9, 9, 11, 11], [8, 8, 8, 8], [10, 10, 10, 10], [], [6, 11, 11, 11]]
[[3, 4, 10, 12, 12], [5, 8, 8, 8, 8], [11, 11, 11], [], [9, 9, 9], [6, 11, 11, 12], [7, 7, 7, 10, 10], [10, 12, 12]]
[[3, 4, 5], [8, 8, 8, 8], [7, 7, 12, 12], [7, 10, 10, 10], [12, 12, 12], [6, 11, 11], [11], [10, 11, 11], [9, 9, 9]]
[[3, 4, 5, 7, 12], [7, 10], [8, 8], [8, 8], [6, 12, 12], [12, 12], [7, 11, 11], [10, 10, 10], [9, 9, 9], [11, 11, 11]]
[[3, 5], [8], [9, 9, 9], [6, 11, 12], [12, 12], [7, 11, 11], [10, 10, 10], [11, 11], [12, 12], [7, 7, 10], [4, 8, 8, 8]]
[[3, 4, 8, 8], [5, 8, 8], [9, 9, 9], [10, 10], [11, 11], [11, 12], [12], [6, 12], [11, 11], [7, 7, 7], [10, 10], [12, 12]]
[[8], [3, 11, 11], [12, 12], [4, 5, 6, 10], [7, 7, 9], [12, 12], [7, 9, 9], [10, 12], [10, 11], [], [11, 11], [10], [8, 8, 8]]
[[3, 4, 5, 9], [6, 8, 11], [10, 10], [10, 10], [12], [11, 11], [12, 12], [9, 9], [], [12, 12], [], [7, 7, 7], [11, 11], [8, 8, 8]]
[[3, 8, 8], [5, 12], [4, 11], [11, 11], [10, 10], [6, 12], [11, 11], [12], [10, 10], [7, 7, 7], [12], [], [8, 8], [9, 9], [9, 12]]
[[3, 4, 12], [5], [8, 8], [8, 8], [10], [6, 12], [11], [9, 9], [7, 7, 7], [12], [10, 11], [10, 11], [9, 11], [10, 11], [12], [12]]
[[3, 4, 12], [8, 8], [5, 12], [12], [10, 10], [11], [9], [7, 11], [11], [10, 10], [7, 7], [11], [12], [11], [9, 9], [6, 12], [8, 8]]
[[3, 7, 7], [], [8, 8], [10, 10], [8, 8], [5, 12], [9, 9], [11], [7, 12], [10, 10], [11], [6, 11], [12], [], [12], [11], [9, 11], [4, 12]]
[[8, 10], [8, 8], [3, 11], [9, 9], [4, 7], [5, 12], [6, 12], [12], [10], [8, 10], [12], [9], [12], [7, 7], [11], [10], [11], [11], [11]]
[[11], [8, 8], [8, 8], [12], [3, 11], [4, 10], [5, 12], [12], [11], [11], [12], [11], [9], [9], [7, 7], [10], [10], [6, 9], [7, 10], [12]]
[[3, 11], [8, 8], [4, 5, 7], [7, 7], [8, 8], [12], [12], [12], [12], [11], [11], [10], [12], [9], [11], [9], [11], [10], [10], [6, 10], [9]]
[[3, 4, 9], [6, 8], [5, 8], [12], [10], [8], [11], [12], [11], [7, 9], [7, 7], [12], [10], [12], [12], [10], [11], [10], [11], [9], [8], [11]]
[[3, 11], [8], [4, 10], [10], [11], [7], [10], [11], [5, 8], [12], [12], [7, 7], [6, 8], [10], [12], [9], [11], [11], [12], [12], [9], [9], [8]]
[[4, 8], [6, 7], [11], [7, 7], [11], [12], [11], [9], [11], [12], [10], [10], [10], [10], [9], [12], [], [11], [9], [5, 8], [8], [12], [12], [3, 8]]
[[4, 10], [12], [3, 7], [11], [10], [12], [12], [11], [12], [7, 7], [10], [10], [11], [12], [8], [9], [8], [11], [], [9], [], [9], [5, 8], [11], [6, 8]]
[[11], [3, 10], [4, 7], [11], [12], [10], [11], [8], [11], [5, 7], [9], [6, 7], [9], [8], [10], [12], [8], [], [8], [], [9], [12], [12], [12], [11], [10]]
[[9], [4, 5], [6], [9], [10], [9], [10], [], [8], [7], [8], [8], [10], [12], [11], [11], [12], [12], [10], [7], [11], [12], [12], [11], [7], [11], [3, 8]]
[[6, 7], [3], [5, 7], [8], [9], [8], [12], [12], [8], [11], [11], [10], [12], [11], [9], [], [], [10], [12], [11], [10], [7], [8], [10], [12], [9], [11], [4]]
[[7], [4, 8], [12], [8], [8], [5, 6], [9], [12], [9], [7], [], [12], [], [10], [10], [8], [], [10], [11], [7], [9], [11], [12], [11], [12], [10], [11], [11], [3]]
-EndAllocation

Instance: [[1], [270], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 11], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[8, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 11, 11, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [8, 9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11]]
[[], [9, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8], [12, 12, 12, 12, 12, 12]]
[[], [8, 12, 12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [12, 12, 12, 12, 12], [5, 9, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [9, 12, 12, 12], [8, 8, 11, 11, 12], [5, 12, 12]]
[[], [5, 5, 12], [8, 11, 11, 12], [9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [8, 12, 12, 12], [12, 12, 12]]
[[], [5, 8, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 12], [8, 11, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 9]]
[[], [12, 12, 12], [8, 11, 11], [5, 5, 5, 5, 9], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [8, 12, 12], [12], [12, 12]]
[[12], [12, 12], [12, 12], [8, 11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [8, 12], [9, 12, 12]]
[[12], [12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 11, 11], [12, 12], [5, 5, 5, 5, 9], [8, 12], [12, 12], [12, 12], [8, 12]]
[[], [5, 5, 12], [12, 12], [9, 11], [5, 8, 11], [12, 12], [5, 5, 5, 5, 5], [8, 12], [12, 12], [12], [12, 12], [5, 5, 5, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [8, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [12, 12], [], [12, 12], [5, 9, 12], [12, 12], [12], [8, 12]]
[[], [5, 5, 5], [8, 11], [11, 12], [8], [5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [5, 5, 5, 5]]
[[12], [8, 12], [12], [9, 12], [5, 5, 12], [12], [12], [12], [11, 11], [12], [5, 5, 12], [5, 12], [8, 12], [12], [5, 5, 5, 5], [5, 5, 12]]
[[12], [5, 12], [12], [12], [12], [12], [11], [5, 12], [5, 12], [8, 12], [8, 12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [9, 12], [5, 5, 11]]
[[12], [12], [11], [12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 9], [8, 12], [8, 12], [5, 12], [12], [12], [5, 11]]
[[12], [5, 9], [12], [12], [12], [12], [8, 12], [5, 12], [12], [5, 12], [11], [5, 5, 8], [12], [5, 12], [11], [12], [12], [5, 12], [5, 5, 5, 5]]
[[12], [12], [12], [11], [5, 12], [5, 12], [8], [5, 12], [5, 12], [11], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 5, 5], [8, 9], [12]]
[[12], [12], [11], [12], [12], [12], [12], [5, 5, 5], [9], [5, 12], [5, 12], [12], [5, 5, 5], [5, 11], [12], [12], [8], [5, 12], [12], [5, 8], [12]]
[[12], [12], [12], [12], [8], [12], [9], [12], [5, 12], [12], [11], [12], [12], [5, 8], [5, 5, 5], [5, 5, 5], [12], [12], [11], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5], [12], [12], [9], [5, 5, 5], [12], [12], [12], [8], [11], [12], [5, 5, 5], [11], [5, 8]]
[[12], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [11], [12], [9], [5, 5, 5], [12], [5, 5], [12], [11], [5, 5, 5], [12], [8], [12], [12], [12], [8]]
[[12], [12], [12], [8], [5, 5], [12], [12], [12], [11], [5, 5], [12], [5], [11], [12], [8], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [9]]
[[12], [12], [8], [12], [5, 5], [12], [11], [9], [12], [5], [5, 5], [12], [12], [8], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [11], [], [12], [12]]
[[12], [12], [9], [12], [5, 5], [12], [5, 5], [12], [12], [8], [5], [12], [12], [8], [11], [5, 5], [5, 5], [11], [5, 5], [12], [], [12], [], [12], [12], [12], [12]]
[[], [], [5, 5], [], [12], [12], [12], [], [5, 5], [5, 5], [12], [8], [11], [12], [12], [9], [12], [5, 5], [5, 8], [12], [5, 5], [12], [11], [12], [12], [12], [12], [12]]
[[12], [11], [5, 5], [12], [], [], [5, 5], [8], [12], [9], [12], [], [5, 5], [12], [12], [], [12], [12], [], [11], [5, 5], [12], [12], [12], [5, 8], [12], [12], [5, 5], [12]]
[[12], [8], [], [12], [11], [], [5, 5], [5], [12], [12], [12], [12], [8], [9], [12], [5, 5], [12], [5, 5], [11], [5, 5], [12], [5, 5], [12], [12], [], [12], [], [12], [12], []]
-EndAllocation

Instance: [[1], [269], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 9, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6], [6, 12, 12, 12, 12, 12, 12, 12], [6, 9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 12, 12]]
[[], [5, 5, 9, 12, 12, 12], [11, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 12], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [6, 6, 6, 6, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12, 12], [9, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 12, 12], [12, 12, 12, 12], [9, 12, 12, 12], [11, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [6, 6, 6, 6, 11], [9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 12, 12], [11, 12, 12], [6, 6, 6, 6, 12], [5, 5, 5, 5, 5, 5, 9]]
[[], [12, 12, 12], [6, 6, 6, 6, 11], [5, 5, 9, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12], [12, 12, 12], [], [12, 12, 12]]
[[12], [12, 12], [12, 12], [11, 12], [12, 12], [5, 5, 5, 6, 6], [6, 6, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [9, 12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 11], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6]]
[[], [6, 6, 12], [12, 12], [9, 12], [6, 6, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [12, 12], [5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [11, 12], [12, 12], [6, 6, 6, 6], [12, 12], [], [12, 12], [9, 12], [12, 12], [12], [12, 12]]
[[], [5, 12], [11, 12], [12, 12], [], [5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [6, 6, 12], [12, 12], [12, 12], [6, 6, 9], [5, 5, 5, 5]]
[[12], [12], [6, 12], [9, 11], [5, 5, 12], [6, 12], [12], [12], [5, 12], [6, 12], [5, 5, 12], [6, 12], [12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [12], [5, 12], [6, 12], [11], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [6, 12], [5, 12], [9, 12], [5, 6, 6]]
[[12], [6, 12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [6, 12], [12], [5, 5, 9], [6, 6], [5, 12], [5, 12], [12], [12], [5, 11]]
[[12], [6, 9], [6, 12], [12], [12], [12], [6, 12], [12], [12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [11], [12], [12], [6, 12], [5, 5, 5, 5]]
[[12], [12], [6, 12], [11], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [6, 6, 6], [12], [5, 5, 5], [9], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [9], [5, 6, 6], [6, 6], [12], [5, 5, 5], [5, 11], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [6, 6], [9], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [11], [12], [6, 6], [12]]
[[12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [12], [12], [12], [9], [5, 5, 5], [6, 6], [6, 6], [12], [12], [11], [12], [5, 5, 5], [12], [12]]
[[12], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [], [12], [9], [5, 5, 5], [6, 6], [12], [12], [11], [5, 5, 5], [12], [12], [12], [6, 6], [12], [12]]
[[12], [12], [12], [6, 6], [5, 5], [12], [12], [6, 6], [11], [5, 5], [12], [12], [12], [12], [], [5, 5], [12], [12], [5], [5, 5], [12], [12], [12], [12], [9]]
[[12], [12], [12], [12], [5, 5], [12], [], [12], [6, 6], [12], [5, 5], [12], [6, 6], [9], [12], [12], [12], [5], [12], [5, 5], [12], [5, 5], [11], [], [12], [12]]
[[12], [6, 6], [9], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [12], [], [12], [11], [5, 5], [5], [12], [5, 5], [12], [], [12], [6, 6], [12], [12], [12], [12]]
[[], [6, 6], [5, 5], [], [12], [12], [12], [], [5], [6, 6], [12], [], [11], [12], [12], [9], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [5, 5], [12], [], [], [5, 5], [], [12], [9], [12], [], [5], [12], [6, 6], [6, 6], [12], [12], [], [11], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [12]]
[[12], [12], [], [12], [], [], [5, 5], [12], [12], [12], [12], [12], [], [9], [12], [5, 5], [12], [5], [11], [5, 5], [6, 6], [5, 5], [12], [12], [], [12], [], [12], [12], [6, 6]]
-EndAllocation

Instance: [[1], [268], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [178, 120, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [134, 90, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12], [5, 5, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [6, 9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12]]
[[], [5, 5, 5, 9, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12], [5, 5, 5, 5, 6, 6, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [6, 6, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [9, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 12, 12, 12], [12, 12, 12, 12], [9, 12, 12, 12], [12, 12, 12], [5, 12, 12, 12]]
[[], [5, 5, 12, 12], [6, 6, 12, 12], [9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [6, 6, 12, 12], [5, 5, 5, 5, 5, 5, 9]]
[[], [12, 12, 12], [6, 6, 12, 12], [5, 5, 5, 5, 9], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [12, 12, 12], [12], [12, 12, 12]]
[[12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [6, 6, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [9, 12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12], [6, 6, 12]]
[[], [6, 12], [12, 12], [9, 12], [5, 6, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [6, 6, 12], [12, 12], [], [12, 12], [5, 9, 12], [12, 12], [], [12, 12]]
[[], [5, 5, 5], [12, 12], [12, 12], [], [5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [6, 6, 9], [5, 5, 5, 5]]
[[12], [12], [6, 12], [9, 12], [5, 5, 12], [12], [12], [12], [5, 12], [6, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 5, 5, 5], [12], [6, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [9, 12], [6, 12]]
[[12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 5, 9], [6, 6], [5, 12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [9], [12], [12], [12], [12], [6, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [12], [6, 12], [5, 5, 5, 5]]
[[12], [12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [6, 6], [12], [5, 5, 5], [5, 9], [12]]
[[12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [9], [5, 12], [6, 6], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [6, 6], [9], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [12], [12], [12], [9], [5, 5, 5], [6, 6], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5]]
[[12], [12], [], [12], [12], [12], [12], [12], [5, 5, 5], [], [12], [9], [5, 5, 5], [12], [5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [6, 6], [12], [12]]
[[12], [12], [12], [6, 6], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [9]]
[[12], [12], [12], [12], [5, 5], [12], [], [12], [12], [5], [5, 5], [12], [6, 6], [9], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [], [12], [12]]
[[12], [6, 6], [9], [12], [5, 5], [12], [5, 5], [12], [12], [12], [5], [12], [], [12], [12], [5, 5], [5, 5], [12], [5, 5], [12], [], [12], [], [12], [12], [12], [12]]
[[], [6, 6], [5, 5], [], [12], [12], [12], [], [5], [5, 5], [12], [], [9], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [5, 5], [12], [12], [], [5, 5], [], [12], [9], [12], [], [5, 5], [12], [6, 6], [], [12], [12], [], [12], [5, 5], [12], [12], [12], [5], [12], [12], [5, 5], [12]]
[[12], [12], [], [12], [], [], [5, 5], [5], [12], [12], [12], [12], [], [9], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [], [12], [12], [6, 6]]
-EndAllocation

Instance: [[1], [267], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [178, 118, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [134, 89, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [11, 11], [5, 5, 5, 12, 12, 12]]
[[], [5, 5, 5, 5, 12, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [11, 11], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [], [12, 12, 12]]
[[12], [12, 12], [12, 12], [5, 11, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 11, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12]]
[[], [5, 5, 12], [12, 12], [12, 12], [5, 11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [12, 12], [], [12, 12], [5, 5, 5], [12, 12], [12], [12, 12]]
[[], [5, 5, 5, 5], [11, 11], [12, 12], [], [5, 5, 5, 5], [12, 12], [12, 12], [5], [12, 12], [12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [12], [12], [11, 11], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 12], [12], [5, 5, 12]]
[[12], [12], [5, 12], [12], [5, 5, 11], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 11], [5, 12], [12]]
[[12], [12], [11], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 11]]
[[12], [12], [12], [12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [11], [5, 5, 5, 5], [12], [5, 12], [11], [12], [12], [5, 12], [5, 5, 5, 5]]
[[12], [12], [12], [11], [5, 12], [5, 12], [12], [12], [5, 12], [11], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12]]
[[12], [12], [11], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5], [12], [12], [5, 5, 5], [5, 11], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [5, 12], [12], [11], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [], [12], [11], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [11], [12], [5, 5, 5], [11], [5, 5, 5]]
[[12], [12], [], [12], [12], [12], [12], [5], [5, 5, 5], [11], [12], [12], [5, 5, 5], [], [5, 5, 5], [12], [11], [5, 5, 5], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [12], [12], [11], [5, 5], [12], [5, 5], [11], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [5], [12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [11], [12], [5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [11], [], [], [12]]
[[12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [5, 5], [12], [], [12], [11], [5, 5], [5, 5], [11], [5, 5], [5], [], [12], [], [12], [12], [12], [12]]
[[], [5], [5, 5], [], [12], [12], [12], [], [5, 5], [5, 5], [12], [11], [11], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [], [5, 5], [12], [12], [12], [12], [12]]
[[12], [11], [5, 5], [12], [], [], [5, 5], [], [12], [12], [12], [5], [5, 5], [12], [12], [], [12], [12], [], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [], [12], [], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [11], [12], [5, 5], [12], [5, 5], [11], [5, 5], [12], [5, 5], [12], [12], [], [12], [], [12], [5], []]
-EndAllocation

Instance: [[1], [266], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [177, 118, 89, 72, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [133, 89, 67, 54, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [11, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [10, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 10, 11, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 10], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12]]
[[], [5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 12, 12]]
[[], [10, 12, 12], [5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [12, 12, 12], [12, 12, 12], [], [11, 12, 12], [5, 5, 5, 5, 5, 10]]
[[12], [12, 12], [5, 5, 5, 5, 11], [12, 12], [12, 12], [5, 5, 5, 5, 10], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [12], [5, 12, 12], [10, 12], [11, 12], [5, 12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 11], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [10, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 10], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12]]
[[], [], [5, 5, 5, 5], [5, 5, 5, 5], [5, 12], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5], [12, 12], [], [12, 12]]
[[12], [10, 12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [11], [12], [12], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [10, 11], [12], [5, 12], [12], [5, 12]]
[[12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [5, 5, 10], [5, 12], [5, 12], [5, 12], [12], [12], [12], [12], [12], [11], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 11], [5, 5, 5], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5], [10], [5, 12], [12], [12], [12], [5, 12], [12]]
[[12], [10], [12], [12], [5, 12], [5, 11], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [5, 11], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [10]]
[[12], [12], [11], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 10], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [], [12]]
[[12], [], [12], [12], [12], [5, 10], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [], [11], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12]]
[[12], [5, 5, 5], [12], [12], [], [12], [12], [11], [12], [12], [], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5], [5, 5, 5], [10]]
[[12], [5, 5], [5, 5], [10], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [10], [12], [5, 5], [12], [12], [12], [12], [], [5, 5], [], [11], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [5]]
[[12], [12], [12], [], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [10], [5, 5], [12], [12], [12], [12], [5], [12], [12], [11], [], [12], [12]]
[[12], [5, 5], [12], [5, 5], [12], [], [12], [12], [], [5, 5], [], [5, 5], [], [11], [12], [12], [12], [5], [10], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5]]
[[], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [11], [12], [10], [5, 5], [5, 5], [5, 5], [], [12], [12], [], [], [12], [12], [12], [5, 5], [12], [5], [12], [12]]
[[11], [5, 5], [5, 5], [], [5, 5], [10], [12], [12], [12], [12], [12], [12], [], [12], [], [12], [12], [5], [12], [12], [12], [12], [], [], [], [12], [12], [5, 5], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [265], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [177, 118, 89, 70, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [133, 89, 67, 53, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 11, 12, 12, 12, 12]]
[[12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 11]]
[[12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [11, 11, 12, 12, 12, 12, 12], [6, 9, 12, 12, 12, 12, 12, 12]]
[[], [6, 12, 12, 12, 12, 12], [6, 6, 6, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 11, 11, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 9, 12], [11, 11, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [9, 12, 12], [6, 6, 6, 6, 6, 6, 6], [11, 11, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [6, 12, 12, 12], [9, 11, 11, 12], [12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12]]
[[], [6, 9, 12, 12], [6, 6, 6, 6, 6, 6], [11, 11, 12], [6, 6, 6, 6, 6, 6], [6, 6], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [6, 6, 6, 12], [], [11, 11], [9, 12, 12], [12, 12, 12]]
[[], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [12, 12], [9, 12, 12], [11, 11]]
[[], [], [12, 12], [11, 11], [6, 6, 6, 9], [6, 6, 6, 6, 6], [6, 12, 12], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [6, 12, 12]]
[[], [6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [9], [12, 12], [6, 6, 6, 6], [6, 11, 11], [12, 12], [12, 12]]
[[], [6, 6, 6, 6], [12, 12], [], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12, 12], [6], [12, 12], [12, 12], [11, 11], [12, 12], [6, 6, 9]]
[[], [12, 12], [12], [], [11, 11], [6, 6, 6, 6], [], [6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6], [6, 6, 6, 6], [9, 12], [12, 12]]
[[12], [9, 12], [6, 12], [12], [6, 6, 6], [12], [6, 12], [12], [12], [6, 6, 6], [6, 12], [11, 11], [6, 12], [6, 12], [6, 12], [6, 6, 6]]
[[12], [6, 12], [12], [6, 6, 9], [11], [6, 6, 6], [12], [6, 12], [6, 6, 6], [6, 12], [11], [6, 12], [12], [6, 12], [12], [6, 12], [6, 12]]
[[12], [12], [6, 6, 6], [6, 11], [6, 12], [6, 12], [6, 6, 6], [6, 9], [6, 12], [12], [12], [12], [12], [12], [11], [12], [6, 12], [6, 6, 6]]
[[12], [12], [12], [6, 6, 6], [12], [12], [6, 12], [9], [12], [6, 6, 6], [11], [6, 12], [6, 6, 6], [6, 12], [12], [11], [12], [12], [6, 6, 6]]
[[12], [11], [6, 6, 6], [6, 6, 6], [12], [12], [12], [6, 6, 6], [6, 12], [12], [12], [6, 6, 6], [6, 11], [12], [], [9], [12], [12], [12], [6, 12]]
[[12], [6, 11], [6, 6], [12], [12], [6, 11], [6, 6], [12], [6, 6], [12], [12], [12], [6, 9], [12], [6, 6], [6, 6], [6, 6], [12], [12], [12], [12]]
[[9], [11], [12], [12], [6, 6], [12], [6, 6], [12], [6, 11], [6, 6], [12], [12], [12], [6, 6], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6], [12]]
[[11], [6, 6], [6, 6], [], [12], [6, 6], [12], [6, 9], [6, 6], [12], [11], [12], [12], [6, 6], [12], [12], [12], [12], [12], [6, 6], [6, 6], [12], [12]]
[[], [6, 6], [12], [6, 6], [12], [6, 6], [12], [12], [11], [6, 6], [11], [12], [12], [12], [12], [12], [6, 6], [6, 9], [], [12], [6, 6], [6, 6], [12], [12]]
[[12], [6, 6], [12], [6], [12], [12], [11], [6, 6], [12], [6, 6], [12], [6, 6], [6, 6], [6, 6], [], [11], [12], [12], [12], [6, 6], [], [12], [12], [12], [9]]
[[12], [6, 6], [12], [], [], [6, 6], [6], [12], [], [6, 6], [12], [6, 6], [12], [9], [12], [12], [6, 6], [11], [12], [12], [12], [12], [6, 6], [12], [11], [6, 6]]
[[], [12], [], [6, 6], [], [12], [6, 6], [12], [6, 6], [6, 6], [12], [6, 6], [12], [11], [12], [12], [12], [6, 6], [11], [6], [9], [], [6, 6], [12], [12], [12], [12]]
[[12], [11], [12], [12], [6, 6], [6, 6], [], [12], [6, 6], [], [], [12], [], [], [9], [12], [6, 6], [12], [6, 6], [12], [12], [12], [6], [12], [6, 6], [12], [6, 6], [11]]
[[12], [6, 6], [11], [12], [12], [12], [9], [], [], [6, 6], [12], [6, 6], [12], [12], [], [12], [12], [6, 6], [6, 6], [11], [], [], [12], [6], [6, 6], [6, 6], [12], [12], []]
[[12], [], [6, 6], [6, 6], [12], [12], [12], [12], [], [], [], [12], [6, 6], [], [9], [12], [6, 6], [], [6], [11], [6, 6], [11], [], [12], [12], [6, 6], [12], [12], [6, 6], [12]]
-EndAllocation

Instance: [[1], [264], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 11], [8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 11, 11, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12], [8, 11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12]]
[[], [5, 5, 12, 12, 12, 12], [8, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 11]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12], [8, 12, 12, 12, 12], [6, 12, 12, 12], [11, 11, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 8, 11, 11, 12], [5, 6, 12]]
[[], [12, 12, 12], [5, 12, 12, 12], [6, 12, 12, 12], [12, 12], [8, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [8], [12, 12, 12], [5, 5, 6, 12, 12], [12, 12, 12], [5, 5, 11, 11]]
[[], [12, 12, 12], [6, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 8], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 11], [12, 12, 12]]
[[], [5, 5, 5, 5, 12], [5, 5, 11, 11], [12], [12, 12], [12, 12], [8, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12, 12], [5, 11, 11], [12, 12], [12, 12], [6, 8], [12, 12], [12, 12]]
[[], [5, 5, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [8, 12], [6, 12], [12], [12, 12]]
[[], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], [8, 12], [12, 12], [12], [12, 12], [], [5, 5, 12], [5, 5, 5, 5, 5], [6, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 8], [12, 12], [5, 5, 5, 5], [12, 12], [5, 6, 12], [12, 12], [], [12], [11, 11], []]
[[12], [5, 5, 5, 5], [5, 5, 12], [11, 11], [5, 5, 12], [12], [8, 12], [12], [6, 12], [12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12]]
[[12], [12], [5, 12], [5, 12], [12], [6, 12], [5, 5, 11], [12], [5, 5, 5, 5], [5, 12], [12], [12], [5, 12], [12], [5, 12], [8, 11], [5, 12]]
[[12], [12], [12], [8, 12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [11], [11], [12], [5, 12], [5, 5, 5, 5], [6, 12], [12], [5, 5, 5, 5]]
[[12], [12], [12], [5, 11], [12], [5, 12], [6, 12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 8], [12], [11], [12], [12], [5, 12]]
[[], [12], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [5, 11], [6, 12], [12], [12], [12], [5, 11], [5, 12], [12], [12], [12], [5, 8], [5, 5, 5]]
[[12], [6], [12], [5, 5, 5], [12], [12], [12], [11], [12], [12], [5, 12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [11], [5, 12], [5, 12], [8]]
[[12], [12], [12], [5, 5, 5], [12], [11], [12], [5, 5, 5], [5, 5, 5], [12], [12], [], [12], [5, 11], [8], [12], [12], [12], [5, 5, 6], [12], [12], [12]]
[[12], [12], [12], [12], [12], [], [12], [12], [11], [6], [12], [12], [8], [5, 5, 5], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 5, 5], [5, 5, 5]]
[[8], [12], [12], [11], [12], [5, 6], [12], [5], [5, 5], [5, 5], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12], [11], [12]]
[[12], [12], [12], [8], [12], [12], [5, 6], [12], [11], [5, 5], [12], [12], [12], [5, 5], [], [12], [12], [11], [12], [12], [5], [5, 5], [5, 5], [5, 5], [12]]
[[12], [11], [11], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [], [6], [], [5, 5], [12], [12], [12], [8], [5, 5], [12]]
[[], [], [12], [12], [12], [11], [5, 5], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [11], [12], [5, 5], [12], [8], [5], [12], [5, 6], [12], [12]]
[[12], [5, 6], [5, 8], [], [12], [], [11], [5, 5], [12], [11], [12], [12], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [], [12]]
[[], [12], [12], [5, 5], [12], [11], [12], [5, 5], [12], [12], [], [6], [11], [12], [5], [], [], [12], [12], [5, 8], [5, 5], [5, 5], [], [12], [12], [12], [5, 5], [12], [12]]
[[], [8], [12], [], [], [5, 5], [12], [5, 5], [12], [11], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [6], [12], [5, 5], [11], [12], [12], [], [12], [], [12], [12], [5, 5]]
-EndAllocation

Instance: [[1], [263], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12], [5, 5, 6, 6, 6, 7, 7, 9, 9, 9, 11, 11, 11, 11]]
[[10, 10, 10, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12], [5, 5, 6, 6, 6, 7, 7, 9, 9, 9, 11, 11, 11, 11]]
[[6, 6, 6, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 11, 11, 11, 11], [5, 5, 12, 12, 12, 12]]
[[], [5, 5, 7, 7, 8, 9, 9, 9, 10], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 10, 10, 12, 12], [11, 11, 11, 11, 12, 12]]
[[8, 8], [12, 12, 12, 12], [5, 5, 6, 6, 6, 9, 9, 9], [11, 11, 11, 11], [7, 7, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8]]
[[7, 7, 8, 8, 8], [10, 10, 10], [12, 12, 12, 12], [5, 5, 9, 9, 9], [8, 8, 8, 8, 8, 8], [6, 6, 6], [11, 11, 11, 11]]
[[8, 8, 8, 8, 8], [10, 10, 10], [6, 6, 6], [8, 8, 8, 8], [9, 9, 9], [5, 5, 7, 7, 12], [12, 12, 12], [11, 11, 11, 11]]
[[8, 8, 8, 8], [12, 12, 12], [9, 9, 9], [11, 11, 11], [8, 8, 8, 8, 8], [6, 6, 6, 11], [10, 10, 10], [], [5, 5, 7, 7, 12]]
[[8, 8, 8, 8], [6, 6, 6], [7, 7, 12], [11], [12, 12, 12], [11, 11, 11], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [5, 5, 8]]
[[8, 8, 8, 8], [8, 8, 8, 8], [6, 6, 6], [5, 9, 9, 9], [12, 12], [11, 11], [7, 7], [10, 10, 10], [11, 11], [12, 12], [5, 8]]
[[5, 11, 11], [8, 8, 8], [5, 8, 8, 8], [7, 7, 12], [6, 6, 6], [12, 12], [11, 11], [9, 9, 9], [], [10, 12], [10, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [11, 11], [12, 12], [10], [12, 12], [8], [5, 5, 7, 7], [10, 10], [9, 9, 9], [], [6, 11, 11], [6, 6, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 9, 9], [5, 6, 6, 6], [10, 10], [11, 11], [12, 12], [9], [10], [11, 11], [], [7, 7], [12, 12], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [5, 9, 9], [11, 11], [12, 12], [], [10, 10], [], [11, 11], [10], [9], [8, 8, 8], [6, 6, 6], [12, 12], [7, 7, 8]]
[[6, 8, 8], [8, 8], [6, 12], [5, 8, 8], [5, 9], [7, 7], [8, 12], [], [10, 12], [], [10, 10], [12], [9, 9], [11, 11], [11, 11], [6, 8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [6, 6, 6], [7, 12], [8, 8], [12], [7, 12], [12], [10], [11], [10, 10], [9, 11], [11], [9, 9], [11], [5, 8]]
[[6, 6, 6], [8, 8], [5, 5, 8], [8, 8], [10, 10], [7, 7], [10], [8, 11], [12], [], [12], [11], [], [9, 9], [8, 12], [9, 11], [8, 12], [8, 11]]
[[8, 8], [7, 7], [5, 5], [8, 8], [6, 11], [8, 8], [8, 8], [11], [9, 9], [12], [12], [12], [10], [6, 10], [12], [11], [11], [8, 9], [6, 10]]
[[8, 8], [8, 8], [8, 8], [6, 11], [7, 7], [5, 5], [6, 12], [11], [10], [11], [12], [11], [8], [6, 12], [10], [9, 9], [12], [10], [9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [12], [7, 7], [12], [], [9], [8, 8], [10], [12], [9], [10], [8, 9], [10], [6, 11], [11], [11], [12], [5, 11], [5, 6, 6]]
[[8, 8], [8, 8], [8, 8], [8], [6, 10], [11], [], [10], [9], [11], [9], [7, 7], [12], [11], [9], [12], [12], [5, 11], [5, 10], [6, 6], [12], [8, 8]]
[[6], [8, 8], [8, 8], [8, 8], [11], [9], [12], [11], [11], [10], [8], [12], [8, 8], [10], [11], [], [9], [12], [12], [5, 9], [5, 10], [7, 7], [6, 6]]
[[11], [5, 8], [6, 8], [12], [7, 7], [5, 8], [8], [10], [9], [9], [10], [10], [12], [9], [8], [11], [8], [12], [8], [11], [6, 8], [11], [12], [6, 8]]
[[7, 7], [6, 8], [6, 8], [5, 9], [10], [12], [8], [8], [8], [11], [10], [10], [11], [11], [12], [11], [8], [8], [9], [6, 8], [], [8], [12], [12], [5, 9]]
[[6, 8], [6, 8], [6, 8], [8], [8], [8], [8], [7, 7], [], [10], [12], [10], [11], [11], [9], [10], [11], [9], [5, 5], [12], [9], [12], [11], [12], [8], [8]]
[[8], [9], [7], [8], [8], [8], [8], [8], [11], [11], [9], [10], [8], [9], [6, 6], [10], [12], [11], [11], [10], [8], [5, 5], [12], [12], [12], [6, 7], [8]]
[[5, 8], [8], [8], [5, 7], [10], [11], [8], [10], [8], [6], [7], [12], [10], [12], [], [9], [9], [11], [11], [6, 6], [8], [12], [11], [8], [12], [8], [9], [8]]
[[5, 8], [8], [6, 6], [8], [8], [8], [8], [], [10], [11], [5, 8], [9], [12], [10], [12], [11], [10], [12], [8], [], [], [6, 7], [8], [7], [12], [11], [11], [9], [9]]
[[10], [8], [8], [8], [6, 6], [5, 6], [12], [8], [8], [11], [10], [11], [11], [10], [8], [8], [], [8], [], [7], [9], [12], [9], [11], [12], [12], [], [8], [9], [5, 7]]
-EndAllocation

Instance: [[1], [262], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12]; Results for m' = 2,...,30. UB Alg: [174, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [131, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 10, 10, 10, 10, 11, 11, 12, 12, 12], [4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 11, 11]]
[[9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11], [4, 7, 7, 12, 12, 12], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9]]
[[7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [4, 10, 10, 10, 10, 11, 11, 11, 11], [6, 6, 6, 6, 12, 12, 12]]
[[9, 10], [7, 7, 9, 9, 9], [4, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10, 10, 12], [11, 11, 11, 11, 12, 12]]
[[4, 6, 8, 8, 8], [12, 12, 12], [9, 9, 9, 9], [11, 11, 11, 11], [7, 7, 10, 10, 10, 10], [6, 6, 6, 8, 8, 8, 8, 8]]
[[4, 6, 7, 8, 8, 11], [10, 10, 10, 10], [12, 12, 12], [9, 9, 9, 9, 11], [8, 8, 8, 8, 8, 8], [], [6, 6, 6, 7, 11, 11]]
[[4, 6, 8, 8, 8], [10, 10, 10, 10], [], [8, 8, 8, 8, 8], [9, 9, 9, 9], [7, 7, 11, 11], [12, 12, 12], [6, 6, 6, 11, 11]]
[[4, 8, 8, 8, 8], [12, 12, 12], [9, 9, 9, 9], [7, 7, 11], [8, 8, 8, 8], [11, 11, 11], [10, 10, 10, 10], [], [6, 6, 6, 6]]
[[4, 6, 8, 8, 10], [8, 8], [7, 7], [11], [12, 12, 12], [11, 11, 11], [8, 8], [10, 10, 10], [9, 9, 9, 9], [6, 6, 6, 8, 8]]
[[4, 6, 6, 6, 9], [8, 8, 8, 8], [8], [9, 9, 9], [12], [11, 11], [7, 7], [10, 10, 10], [10, 11, 11], [12, 12], [6, 8, 8, 8]]
[[11, 11], [4, 8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [7, 7, 9], [12, 12], [12], [9, 9, 9], [11, 11], [10, 10], [10, 10], [8, 8]]
[[4, 6, 6, 6, 6], [8, 8, 10], [11, 11], [], [7, 7, 10], [12], [8, 8, 8], [12, 12], [10], [9, 9, 9], [11, 11], [9, 10], [8, 8, 8]]
[[8, 8], [8, 8, 8], [4, 10, 10], [6, 7], [12, 12], [11, 11], [], [9, 9], [10, 10], [8, 8, 8], [11, 11], [6, 6, 6, 7], [12], [9, 9]]
[[4, 6, 6, 8], [8, 8, 8], [6, 6, 9], [11, 11], [9, 12], [9], [10, 10], [], [11, 11], [10, 10], [12, 12], [9], [8], [8, 8, 8], [7, 7]]
[[6, 8, 8], [6, 6, 8], [4, 12], [8, 8], [12], [7], [8, 8], [], [10, 10], [11, 11], [10, 10], [9, 9], [9, 9], [11, 11], [12], [6, 7, 8]]
[[4, 8, 8], [7, 11], [8, 11], [12], [6, 6, 7], [6, 6, 8], [8, 8], [11], [], [10, 10], [11], [10, 10], [9, 9], [12], [9, 9], [12], [8, 8]]
[[4, 8, 8], [8, 8], [8, 11], [6, 8], [6, 6, 6], [7, 10], [10, 10], [8, 10], [12], [], [], [11], [12], [9, 9], [7, 11], [9, 9], [12], [8, 11]]
[[8, 8], [9, 9], [6, 6, 6], [8, 8], [9, 9], [6, 11], [8, 8], [11], [11], [12], [12], [10], [10], [7, 7], [10], [11], [12], [4, 10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 11], [6, 7], [6, 6, 6], [11], [9, 9], [10], [11], [10], [11], [], [7, 10], [10], [12], [12], [12], [9, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 10], [4, 11], [6, 9], [12], [6, 11], [6, 9], [7, 7], [12], [11], [10], [9], [10], [12], [11], [10], [8, 8], [9], []]
[[4, 9], [8, 8], [8, 8], [8, 8], [11], [11], [12], [6, 10], [11], [8, 8], [9], [7, 9], [12], [], [10], [12], [10], [6, 10], [9], [11], [6, 7], [6]]
[[6, 10], [8, 8], [4, 6, 6], [8, 8], [11], [8, 8], [9], [12], [12], [10], [11], [], [8, 8], [10], [11], [], [12], [10], [9], [11], [9], [7, 7], [6, 9]]
[[11], [8], [6, 8], [4, 10], [6, 8], [7, 7], [6, 8], [10], [9], [11], [8], [9], [11], [11], [8], [9], [8], [12], [10], [12], [10], [9], [12], [6, 8]]
[[4, 10], [8], [11], [6, 6], [12], [6, 8], [6, 8], [8], [8], [11], [9], [10], [12], [11], [7, 7], [9], [9], [8], [8], [8], [10], [10], [11], [9], [12]]
[[4, 9], [12], [6, 8], [9], [6, 6], [8], [8], [7, 7], [8], [10], [9], [10], [11], [11], [], [10], [11], [8], [8], [8], [9], [10], [11], [12], [12], [6, 8]]
[[4, 8], [10], [6, 7], [10], [6, 6], [6], [8], [9], [11], [9], [9], [10], [8], [8], [12], [10], [8], [11], [11], [8], [8], [11], [12], [12], [7], [9], [8]]
[[8], [9], [8], [9], [6], [4, 8], [11], [8], [11], [11], [6], [11], [10], [12], [6, 7], [6, 7], [12], [12], [8], [], [10], [8], [10], [8], [10], [9], [9], [8]]
[[4, 6], [8], [8], [], [9], [6, 7], [9], [8], [8], [7], [9], [10], [10], [10], [10], [11], [8], [12], [8], [8], [], [8], [11], [12], [12], [11], [11], [9], [6, 6]]
[[10], [8], [6, 6], [6, 6], [9], [8], [7], [8], [], [8], [10], [11], [12], [10], [8], [8], [], [12], [11], [11], [9], [12], [9], [11], [8], [4], [10], [7], [9], [8]]
-EndAllocation

Instance: [[1], [279], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [186, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [140, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12]]
[[5, 5], [5, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [5, 12], [5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 11, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [11, 11], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 11, 11], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [11, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [11, 11], [12, 12]]
[[], [12, 12], [], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], []]
[[], [11, 11], [12, 12], [5, 5, 5, 5], [], [], [12, 12], [12, 12], [12], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [12], [11, 11], [5, 5, 12], [12], [12], [12], [12], [12], [5, 5, 12], [5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 11], [5, 12], [5, 12]]
[[12], [5, 11], [12], [5, 12], [5, 12], [12], [5, 11], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [5, 12], [12]]
[[12], [5, 11], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [5, 12], [11], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12]]
[[11], [5, 5, 5], [12], [11], [5, 12], [12], [12], [5, 12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [11], [12], [12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [11]]
[[12], [12], [12], [5, 12], [12], [12], [5, 5], [5, 5, 5], [12], [], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 11], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 11], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [], [12], [11], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [], [12], [12], [12], [], [12], [5, 11], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [11], [12], [12], [12], [5, 5, 5], [], [12]]
[[12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [11], [], [12], [11], [12], [12], [12], [12], [12], [5, 5], [5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [12], [5], [12], [], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [11], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12]]
[[], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [11], [12], [12], [12], [5], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [12], [11]]
[[12], [], [12], [5, 5], [12], [5], [12], [11], [5, 5], [5, 5], [12], [12], [11], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [5, 5], [12], [12], [], [12], [], [12]]
[[], [5, 5], [5, 5], [12], [12], [], [12], [12], [], [5, 5], [5, 5], [12], [12], [11], [], [12], [11], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5], [12]]
[[12], [], [5, 5], [5, 5], [], [], [12], [12], [12], [12], [12], [], [], [12], [12], [5, 5], [11], [12], [], [11], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [278], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12]]
[[5, 5], [5, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 9, 12], [12, 12, 12], [12, 12, 12]]
[[], [9, 12, 12], [5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12], [9], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[12], [5, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [9, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 9], [12, 12], [12, 12]]
[[], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 9], [12, 12], [12, 12], []]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [9], [], [12, 12], [12, 12], [], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [5, 12], [12], [9, 12], [12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 12], [9, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [12], [5, 5, 9], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [12]]
[[12], [5, 12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [9], [5, 12], [12], [5, 12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 9], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12]]
[[12], [9], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12]]
[[12], [12], [12], [5, 9], [12], [12], [12], [5, 5, 5], [12], [], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [9], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [9], [12], [12], [12], [5], [], [12]]
[[12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [9], [], [12], [12], [12], [12], [12], [12], [5, 5], [5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [9], [12], [12], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [], [12], [5, 5], [5, 5], [5], [5, 5], [12], [12], [12], [12], [12]]
[[], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [9], [12], [12], [12], [5]]
[[12], [], [12], [5, 5], [12], [5], [12], [12], [5, 5], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 5], [], [12], [9], [12], [12], [5, 5], [12], [12], [], [12], [12], [12]]
[[12], [5, 5], [5], [12], [12], [], [12], [12], [], [5, 5], [5, 5], [12], [9], [5, 5], [], [12], [], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12]]
[[12], [], [5, 5], [5, 5], [], [], [12], [12], [9], [12], [12], [], [], [12], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [277], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [5, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 12]]
[[5, 5], [5, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 9, 11], [12, 12, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 9, 12], [12, 12, 12], [12, 12, 12]]
[[], [9, 12], [5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [9, 11], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 5, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 11], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [9, 11, 12], [5, 12, 12], [12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [11, 12], [12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 9], [11, 12], [12, 12]]
[[], [12, 12], [], [12, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 9], [12, 12], [12, 12], []]
[[], [11, 12], [12, 12], [5, 5, 5, 5], [9], [], [12, 12], [12, 12], [], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [5, 12], [11], [9, 12], [12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [11], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 12], [9, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 11], [12], [5, 5, 9], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [12]]
[[12], [5, 12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [5, 12], [11], [12], [9], [5, 12], [12], [5, 12], [5, 5, 5], [12]]
[[11], [5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 9], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12]]
[[12], [9], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [11]]
[[12], [12], [12], [5, 9], [12], [12], [12], [5, 5, 5], [12], [], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [9], [12], [11], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [], [12], [12], [12], [], [12], [5, 11], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [9], [12], [12], [12], [5, 5, 5], [], [12]]
[[12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [11], [9], [], [12], [12], [12], [12], [12], [12], [5, 5], [5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [9], [5], [12], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12]]
[[], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [11], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [9], [12], [12], [12], [5]]
[[12], [], [12], [5, 5], [12], [5], [12], [11], [5, 5], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 5], [], [12], [9], [12], [12], [5, 5], [12], [12], [], [12], [12], [12]]
[[], [5, 5], [5, 5], [12], [12], [], [12], [12], [], [5, 5], [5, 5], [12], [9], [11], [], [12], [5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12]]
[[12], [], [5, 5], [5, 5], [], [], [12], [12], [9], [12], [12], [], [], [12], [12], [5, 5], [11], [12], [], [12], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [276], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [184, 122, 92, 74, 61, 53, 46, 41, 37, 34, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [138, 92, 69, 56, 46, 40, 35, 31, 28, 26, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12]]
[[5, 5], [5, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12]]
[[], [12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 9, 11, 11], [12, 12, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 9, 12], [12, 12, 12], [12, 12, 12]]
[[], [5, 9], [5, 12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 11, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [], [9, 11, 11], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[12], [5, 5, 5, 5, 5], [9, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 11, 11], [12, 12]]
[[], [9, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [9, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [11, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 9], [11, 11], [12, 12]]
[[], [12, 12], [], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 9], [12, 12], [12, 12], []]
[[], [11, 11], [12, 12], [5, 5, 5, 5], [9], [], [12, 12], [12, 12], [], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [12], [11, 11], [9, 12], [12], [12], [12], [12], [12], [5, 5, 12], [5, 12], [5, 5, 12], [5, 5, 5, 5], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [11], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 12], [9, 12], [12], [5, 5, 11], [5, 12]]
[[12], [5, 11], [12], [5, 5, 9], [5, 12], [12], [5, 11], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [5, 11], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [5, 12], [11], [12], [9], [5, 12], [12], [5, 12], [5, 5, 5], [12]]
[[11], [5, 5, 5], [12], [11], [5, 12], [12], [12], [5, 12], [12], [12], [5, 9], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12]]
[[12], [9], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [11], [12], [12], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [11]]
[[12], [12], [12], [5, 9], [12], [12], [5, 5], [5, 5, 5], [12], [], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 11], [12], [12], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 11], [], [5, 5, 5], [12], [12], [12], [12], [], [12], [5, 5, 5], [12], [12], [9], [12], [11], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [], [12], [12], [12], [], [12], [5, 11], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [9], [12], [12], [12], [5, 5, 5], [], [11]]
[[12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [11], [9], [], [11], [12], [12], [12], [12], [12], [5, 5], [5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [9], [5], [12], [], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [11], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12]]
[[], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [11], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [9], [5], [12], [12], [11]]
[[12], [], [12], [5, 5], [12], [5], [12], [11], [5, 5], [5, 5], [12], [12], [11], [12], [12], [5, 5], [5, 5], [], [12], [9], [12], [12], [5, 5], [12], [12], [], [12], [], [12]]
[[], [5, 5], [5, 5], [12], [12], [], [12], [12], [], [5, 5], [5, 5], [12], [9], [11], [], [12], [11], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5], [12]]
[[12], [], [5, 5], [5, 5], [], [], [12], [12], [9], [12], [12], [], [], [12], [12], [5, 5], [11], [12], [], [11], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [5, 5], [5, 5]]
-EndAllocation

Instance: [[1], [275], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [184, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [138, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[2, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12], [4, 5, 6, 6, 7, 7, 9, 9, 9, 10, 10, 10, 11, 11, 11]]
[[2, 4, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [5, 6, 6, 7, 7, 12, 12], [9, 9, 9, 11, 11, 11, 12, 12, 12, 12, 12]]
[[2, 4, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11], [5, 10, 11], [12, 12, 12, 12, 12, 12, 12], [6, 6, 7, 7, 9, 9, 9, 10, 10]]
[[2, 4, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 10, 10, 10], [7, 7, 12, 12], [5, 12, 12, 12, 12, 12], [6, 6, 11, 11, 11]]
[[2, 4, 6, 6, 8, 12, 12], [12, 12, 12, 12, 12], [5, 11, 11, 11], [9, 9, 9, 10, 10, 10], [7, 7], [8, 8, 8, 8, 8, 8, 8]]
[[2, 8, 8, 9, 9], [8, 8, 8, 8, 8, 8], [9, 12, 12, 12], [7, 7], [10, 10, 10], [4, 6, 6, 11, 11, 11], [5, 12, 12, 12, 12]]
[[2, 4, 5, 6, 8, 8, 8], [10, 10, 11, 11], [11, 12], [7, 7, 9, 9, 9], [], [12, 12, 12], [6, 8, 8, 8, 8, 8], [10, 12, 12, 12]]
[[2, 4, 6, 6, 12], [7, 7, 8], [8, 10, 10, 10], [12, 12, 12], [8, 9, 9, 9], [8, 11, 11, 11], [], [12, 12, 12], [5, 8, 8, 8, 8]]
[[2, 4, 5, 6, 6, 10], [8, 8, 8, 8], [12, 12, 12], [7, 7, 12], [10, 10], [9, 9, 9], [12, 12, 12], [11, 11, 11], [8, 8, 8, 8], []]
[[2, 4, 5, 6, 6, 8], [8, 12], [7, 7, 8], [8, 12, 12], [8, 12, 12], [9, 9, 9], [8], [11, 11, 11], [10, 10, 10], [8], [8, 12, 12]]
[[2, 4, 6, 6, 12], [8, 8, 8], [10, 10, 10], [9, 9, 9], [12, 12], [12, 12], [11], [11, 11], [8, 8, 8], [7, 7], [12, 12], [5, 8, 8]]
[[2, 4, 6, 6, 9], [8, 8, 8], [9, 12], [10, 12], [12, 12], [12, 12], [11, 12], [9, 10, 10], [7, 7], [], [8, 8, 8], [11, 11], [5, 8, 8]]
[[2, 4, 8, 12], [5, 7, 7], [11, 12], [9, 12], [8, 8, 8], [9, 12], [8, 10], [10, 11], [9, 10], [6, 6, 12], [], [12], [11, 12], [8, 8, 8]]
[[8, 8], [8, 8, 8], [2, 4, 5, 6, 6], [10, 12], [12, 12], [12], [11, 11], [], [11, 12], [10, 10], [12, 12], [9, 9], [8, 8, 8], [7, 7], [9]]
[[2, 4, 6, 12], [9, 10], [11], [12, 12], [8, 8, 8], [10, 10], [], [8, 8, 8], [11, 11], [7, 7], [], [12], [5, 9, 9], [12, 12], [6, 12], [8, 8]]
[[7, 12], [5, 8, 8], [12], [9, 11], [9, 10], [7, 12], [11], [8, 10], [9, 12], [8, 12], [10, 12], [6, 8, 8], [], [11], [4], [8, 12], [2, 6, 8]]
[[9], [8, 11], [6, 7, 8], [5], [4, 8, 8], [12], [8, 12], [7, 12], [10, 11], [10], [10, 11], [], [6, 12], [8, 12], [8], [2, 9, 9], [12], [8, 12]]
[[2, 4, 8], [8, 8], [7, 10], [8, 11], [6, 12], [6, 10], [9, 11], [5, 12], [12], [8, 8], [11], [12], [8, 8], [10], [12], [7], [12], [9, 9], [12]]
[[2, 8, 8], [4, 9], [12], [6, 10], [7, 7], [5, 11], [6, 11], [12], [12], [10], [12], [12], [8, 8], [12], [11], [9, 9], [12], [10], [8, 8], [8, 8]]
[[2, 4, 12], [8, 8], [], [8, 8], [6, 11], [5, 12], [6, 12], [9, 9], [12], [10], [9], [12], [10], [8, 8], [12], [12], [10], [11], [11], [7, 7], [8, 8]]
[[8, 8], [8, 8], [8, 8], [2, 4, 5, 6], [12], [6, 10], [7, 9], [7, 9], [8, 8], [11], [10], [12], [], [10], [9], [12], [12], [12], [11], [11], [12], [12]]
[[2, 5], [6, 6], [8, 8], [8, 8], [9], [9], [9], [10], [11], [12], [10], [12], [8, 8], [4, 12], [10], [11], [7, 7], [11], [8, 8], [12], [12], [12], [12]]
[[2, 11], [], [12], [6, 8], [11], [6, 8], [10], [12], [12], [8], [10], [9], [12], [8, 8], [5, 11], [12], [10], [12], [9], [9], [4, 8], [7, 7], [12], [8, 8]]
[[2, 12], [7, 7], [10], [12], [12], [4, 10], [6, 8], [12], [12], [11], [12], [12], [8], [8], [9], [8], [8], [11], [9], [10], [8], [6, 8], [9], [11], [5, 8]]
[[4, 10], [5, 8], [], [9], [10], [7, 7], [12], [12], [6, 8], [2, 11], [8], [11], [11], [8], [6, 8], [12], [8], [12], [9], [9], [8], [10], [8], [12], [12], [12]]
[[4, 8], [6, 8], [10], [12], [5, 7], [10], [8], [12], [6, 8], [11], [8], [8], [], [11], [7], [12], [10], [12], [8], [8], [12], [11], [9], [12], [9], [12], [2, 9]]
[[2, 8], [6, 6], [8], [12], [8], [10], [12], [8], [11], [8], [12], [8], [8], [12], [10], [12], [11], [8], [12], [12], [10], [5], [9], [9], [7], [11], [9], [4, 7]]
[[5, 8], [8], [8], [8], [], [6], [12], [9], [10], [11], [7], [8], [10], [11], [10], [2, 8], [12], [8], [9], [12], [9], [12], [11], [12], [6], [8], [12], [12], [4, 7]]
[[2, 5], [6, 7], [12], [12], [9], [], [8], [8], [8], [12], [8], [], [8], [6], [8], [9], [12], [9], [12], [10], [8], [11], [11], [10], [12], [12], [10], [8], [11], [4, 7]]
[[2, 8], [8], [8], [8], [7], [8], [9], [5], [10], [12], [10], [9], [12], [9], [], [11], [8], [12], [], [8], [12], [12], [], [12], [11], [11], [7], [12], [6, 6], [10], [4, 8]]
-EndAllocation

Instance: [[1], [274], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [182, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [137, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[1, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[1, 6, 6, 10, 10, 10, 10, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 8, 8, 8, 8, 9, 11, 11, 11, 11]]
[[1, 10, 10, 10, 10, 11, 11, 11, 11], [4, 4, 4, 4, 8, 8, 8, 8, 12, 12, 12], [6, 6, 9], [12, 12, 12, 12, 12, 12, 12]]
[[1, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], [6, 6, 10, 10, 10, 10, 12], [9], [12, 12, 12, 12, 12, 12], [11, 11, 11, 11, 12]]
[[1, 4, 4, 4, 4], [10, 10, 10, 10], [6, 6, 11, 11, 11, 11], [8, 8, 8, 8, 9], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[1, 11, 11, 12, 12], [10, 10, 10, 10, 12], [6, 6, 11, 11], [4, 4, 4, 4, 12, 12, 12], [12, 12, 12, 12], [8, 8, 8, 8], [9]]
[[1], [12, 12, 12], [4, 4, 4, 4, 12, 12], [11, 12, 12], [9, 12, 12, 12], [6, 6, 11, 11, 11], [8, 8, 8, 8], [10, 10, 10, 10]]
[[1, 10, 10, 10, 10], [12, 12, 12], [11, 11, 11], [11], [12], [12, 12, 12], [4, 4, 4, 4, 8, 8, 8], [12, 12, 12], [6, 6, 8, 9]]
[[1, 4, 4, 4, 12, 12], [10, 10, 11], [], [11, 11, 11], [8, 8, 8, 8], [6, 6, 10, 10], [12, 12, 12], [12, 12, 12], [9, 12, 12], [4]]
[[1, 6, 6, 9, 10], [8, 8, 8, 8], [11, 11, 11], [12, 12], [12, 12], [10, 10, 10], [11], [12, 12], [12, 12], [4, 4, 4, 4], [12, 12]]
[[8, 10, 12], [11, 11], [], [1, 11, 11], [12, 12], [12, 12], [4, 4, 4, 4, 12], [12, 12], [8, 8, 8], [6, 6, 12], [10, 10, 10], [9, 12]]
[[1, 10, 12], [], [12, 12], [8, 8, 12], [11, 11], [6, 6, 12], [10, 10], [11, 11], [12, 12], [10], [4, 4, 4, 4, 12], [8, 8, 9], [12, 12]]
[[1, 6, 6, 8], [4, 4, 4, 4, 9], [11, 11], [12, 12], [12, 12], [], [8, 8, 8], [12, 12], [12, 12], [10, 10], [12, 12], [10, 10], [], [11, 11]]
[[1, 9, 12], [12, 12], [4, 4, 4, 4], [12, 12], [11, 11], [6], [10, 10], [12, 12], [8, 12], [8, 8, 8], [10, 10], [], [11, 11], [6], [12, 12]]
[[1, 6, 6, 9], [11, 11], [], [], [12, 12], [11, 11], [12, 12], [8, 8, 8], [10, 10], [12, 12], [], [8], [12, 12], [10, 10], [12, 12], [4, 4, 4, 4]]
[[1, 6, 10], [4, 4, 4, 4], [9, 12], [], [12], [6, 12], [10, 12], [12], [8, 12], [11, 11], [12], [11, 11], [10, 12], [], [10, 12], [8, 12], [8, 8]]
[[1, 4, 4, 4, 4], [10, 10], [11], [12], [12], [12], [12], [8, 8], [12], [12], [12], [12], [6, 12], [10, 11], [6, 11], [9, 12], [8, 8], [10, 11]]
[[1, 12], [12], [12], [6, 6], [10, 10], [4, 4, 4, 4], [12], [12], [12], [], [11], [10, 10], [11], [12], [8, 12], [8, 11], [8, 12], [8, 12], [9, 11]]
[[1, 4, 12], [11], [12], [8, 8], [10], [12], [6, 10], [12], [4, 10], [12], [11], [12], [8, 9], [11], [12], [8, 10], [11], [6, 12], [4, 12], [4, 12]]
[[1, 4, 12], [12], [4, 10], [11], [12], [12], [11], [12], [8, 8], [11], [11], [12], [12], [6, 6], [10], [12], [8, 9], [12], [4, 12], [8, 10], [4, 10]]
[[1, 8, 8], [10], [12], [4, 4, 4, 4], [12], [10], [11], [12], [12], [12], [12], [11], [10], [12], [9], [10], [12], [6, 11], [12], [12], [8, 8], [6, 11]]
[[6, 10], [12], [12], [12], [], [11], [8, 8], [12], [12], [12], [10], [12], [4, 4, 4, 4], [6, 10], [11], [10], [11], [11], [9], [12], [12], [8, 8], [1, 12]]
[[6, 10], [4, 4, 4, 4], [11], [10], [12], [], [12], [12], [8, 8], [12], [11], [10], [12], [], [10], [11], [8, 8], [12], [11], [6, 9], [12], [12], [12], [1, 12]]
[[1, 11], [10], [10], [12], [12], [4, 4, 4], [12], [10], [9], [10], [12], [8], [8], [12], [12], [12], [12], [11], [12], [12], [8], [6, 8], [11], [4, 6], [11]]
[[1, 8], [], [11], [8], [12], [12], [12], [12], [8], [9], [12], [10], [10], [10], [12], [11], [11], [12], [12], [11], [8], [4, 10], [6, 6], [4, 4, 4], [12], [12]]
[[1, 10], [8], [12], [12], [6, 6], [], [12], [8], [10], [12], [10], [12], [11], [4], [11], [9], [12], [11], [4, 4, 4], [10], [12], [11], [12], [12], [8], [12], [8]]
[[1, 8], [4, 4, 4], [12], [], [10], [8], [12], [8], [10], [], [12], [], [10], [9], [12], [12], [11], [12], [12], [11], [12], [6, 6], [12], [12], [10], [11], [11], [4, 8]]
[[1, 4, 4, 4], [], [6, 6], [11], [8], [12], [12], [4], [10], [8], [8], [], [10], [10], [9], [11], [11], [12], [8], [12], [11], [12], [12], [12], [], [10], [12], [12], [12]]
[[1, 4, 8], [9], [12], [4, 4, 4], [11], [6, 6], [], [12], [10], [12], [], [], [12], [], [8], [], [11], [11], [12], [11], [10], [8], [8], [12], [12], [12], [10], [10], [12], [12]]
[[12], [4, 4, 4], [6, 6], [10], [], [], [11], [11], [], [12], [12], [12], [], [12], [12], [11], [], [8], [12], [8], [4], [12], [10], [1, 10], [11], [8], [10], [8], [12], [9], [12]]
-EndAllocation

Instance: [[1], [273], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [182, 121, 92, 73, 61, 52, 46, 41, 37, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [137, 91, 69, 55, 46, 39, 35, 31, 28, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[8, 8, 8, 8, 9, 9, 9, 11, 11, 11], [3, 4, 5, 6, 7, 7, 7, 7, 7, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12]]
[[7, 7, 7, 7, 7], [3, 6, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12], [4, 5, 8, 8, 8, 8, 8, 8, 9, 9, 9, 11, 11, 11]]
[[10], [4, 9, 12, 12, 12, 12, 12, 12], [3, 7, 7, 7, 7, 7, 9, 9, 11, 11, 11], [5, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10]]
[[], [3, 4, 5, 7, 7, 7, 7, 7, 12, 12], [6, 9, 9, 9, 12, 12, 12], [10, 10, 10, 10, 11, 12], [8, 8, 8, 8, 8, 8, 11, 11]]
[[], [5, 9, 9, 9, 10, 10], [4, 6, 10, 10, 12], [8, 8, 8, 8, 8, 8, 11], [12, 12, 12, 12, 12], [3, 7, 7, 7, 7, 7, 11, 11]]
[[], [6, 9, 11, 11, 11], [12, 12, 12, 12], [10, 10, 10, 10, 12], [7, 7, 7, 7, 7, 12], [4, 8, 8, 8, 8, 8, 8], [3, 5, 9, 9]]
[[], [7, 7, 7, 7, 7, 11], [4, 5, 11, 11], [8, 8, 8, 8, 8], [12, 12, 12], [10, 10, 10, 10], [12, 12, 12], [3, 6, 8, 9, 9, 9]]
[[], [8, 12], [12, 12, 12], [8, 9, 9, 9], [11, 11, 11], [10, 10, 10, 10], [4, 7, 7, 7, 7, 7], [6, 12, 12], [3, 5, 8, 8, 8, 8]]
[[], [11, 11, 11], [7, 10, 10, 10], [8, 8, 8, 8], [4, 8, 10], [12, 12, 12], [12, 12, 12], [7, 7, 7, 7, 8], [5, 9, 9, 9], [3, 6]]
[[], [], [4, 7, 7, 7, 7], [9, 9, 11], [9, 12, 12], [3, 6, 11, 11], [8, 8, 10], [5, 12, 12], [10, 10, 10], [8, 8, 8, 8], [7, 12, 12]]
[[], [4, 10], [6, 10, 10], [9, 9, 9], [8, 8, 8], [3, 8, 8, 8], [7, 7, 7, 7], [12, 12], [11, 11], [7, 10, 12], [12, 12], [5, 11, 12]]
[[], [12, 12], [10, 10], [12, 12], [3, 8, 8, 9], [5, 10, 10], [8], [7, 7, 7, 7], [8, 8, 8], [9, 9], [6, 11, 11], [7, 12], [4, 11, 12]]
[[], [6, 7, 7], [10, 10], [4, 7, 7, 7], [8, 8, 8], [3, 12], [5, 12], [11, 11], [11, 12], [9, 12], [9, 9], [8, 8, 8], [12, 12], [10, 10]]
[[], [10, 10], [12, 12], [5, 12], [3, 6, 8, 8], [], [11, 11], [10, 10], [9, 9], [7, 8, 9], [4, 7, 7, 7], [12], [7, 11], [8, 8, 8], [12, 12]]
[[], [5, 9], [12, 12], [3, 10, 11], [6, 12], [10, 10], [8, 8, 8], [12, 12], [10], [7, 7, 7], [11, 11], [4], [7, 7], [8, 8, 8], [9, 9], [12]]
[[], [9, 12], [12], [3, 7, 11], [5, 8, 8], [4], [10, 12], [8, 8], [6, 12], [8, 10], [7, 7, 7], [9, 9], [], [11, 11], [7, 12], [10, 10], [8, 12]]
[[12], [4, 7, 7], [12], [10, 10], [], [10, 10], [3, 9, 9], [11], [6, 12], [8, 9], [8, 8], [11], [12], [7, 7, 7], [12], [5, 8, 8], [8, 11], [12]]
[[11], [5, 11], [12], [7, 7], [4, 11], [3, 12], [7, 7], [8, 8], [12], [6, 8], [12], [10, 10], [12], [10, 10], [8, 8], [], [7, 9], [8, 12], [9, 9]]
[[11], [12], [8, 8], [8, 10], [6, 12], [12], [12], [9, 9], [10], [7, 7], [12], [7, 7], [11], [3, 8], [11], [7, 10], [4, 8], [12], [5, 10], [8, 9]]
[[9], [12], [4, 11], [12], [5, 10], [11], [8, 8], [12], [12], [12], [12], [6, 10], [8, 8], [11], [9], [9], [3, 10], [7, 7], [7, 10], [8, 8], [7, 7]]
[[9], [3, 12], [7, 10], [12], [11], [7, 7], [10], [8, 8], [12], [4, 12], [9], [8, 9], [12], [11], [8, 8], [10], [6], [7, 7], [5, 8], [10], [11], [12]]
[[10], [11], [3, 7], [12], [11], [5, 9], [6, 8], [8, 8], [10], [12], [7, 7], [8], [11], [10], [12], [12], [8, 8], [4, 9], [7, 7], [9], [12], [12], [10]]
[[11], [10], [5, 11], [12], [3, 4], [7, 9], [9], [10], [12], [], [12], [10], [7, 9], [6], [12], [8, 8], [12], [7], [8, 8], [12], [7, 7], [8, 8], [10], [11]]
[[11], [7, 7], [12], [12], [5, 8], [11], [8], [12], [6, 8], [8], [10], [7, 7], [4, 9], [10], [12], [12], [9], [3, 7], [8], [8], [9], [10], [12], [11], [10]]
[[9], [10], [6, 8], [7, 7], [8], [7, 7], [9], [11], [11], [8], [9], [8], [8], [12], [4, 10], [8], [7], [10], [12], [3, 5], [12], [12], [12], [10], [11], [12]]
[[9], [3, 11], [8], [8], [9], [12], [11], [4, 8], [10], [12], [7, 7], [8], [8], [12], [10], [10], [5], [11], [12], [10], [8], [6, 7], [12], [12], [7], [7], [9]]
[[9], [5, 8], [11], [6, 7], [10], [9], [3, 7], [8], [8], [10], [], [11], [10], [7], [7], [4, 8], [12], [8], [12], [7], [12], [12], [12], [10], [8], [12], [9], [11]]
[[12], [8], [9], [10], [3, 8], [4], [11], [11], [7], [10], [11], [10], [12], [12], [10], [9], [5, 7], [12], [7], [8], [7], [9], [12], [7], [8], [12], [8], [8], [6]]
[[11], [12], [11], [12], [7], [11], [4, 7], [9], [], [10], [10], [10], [], [8], [12], [7], [8], [3, 9], [8], [8], [9], [6, 7], [10], [5, 8], [7], [12], [12], [12], [], [8]]
[[11], [8], [7], [12], [11], [6], [8], [11], [12], [10], [10], [10], [8], [9], [9], [5, 7], [3], [7], [], [10], [8], [9], [12], [7], [8], [4], [8], [12], [12], [7], [12]]
-EndAllocation

Instance: [[1], [272], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[3, 6, 6, 6, 6, 9, 9, 10, 10, 10, 10, 10], [5, 7, 7, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]]
[[10, 10, 10, 10, 10, 12, 12, 12, 12, 12], [7, 7, 7, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11], [3, 5, 6, 6, 6, 6, 9]]
[[3, 11, 12, 12, 12, 12, 12], [7, 7, 7, 7], [5, 6, 6, 6, 6, 9, 10, 10, 10, 10, 10], [9, 9, 9, 11, 11, 11, 11, 11]]
[[12, 12, 12, 12], [10, 10, 10, 10, 10], [11, 11, 11, 11, 11, 11], [3, 9, 9, 9, 9], [5, 6, 6, 6, 6, 7, 7, 7, 7, 12]]
[[9, 9, 9, 9, 10, 10], [12, 12, 12, 12, 12], [3, 11], [11, 11, 11, 11, 11], [7, 7, 7, 7, 10, 10, 10], [5, 6, 6, 6, 6]]
[[3, 5, 9, 9, 12, 12], [11, 11, 11, 11], [7, 7, 7, 7, 9, 9], [10, 10, 10, 10, 10], [11, 11, 12], [], [6, 6, 6, 6, 12, 12]]
[[3, 11], [11, 11, 11, 11], [9, 9, 12, 12], [7, 7, 7, 9, 9], [7, 12, 12, 12], [], [5, 10, 10, 10, 10], [6, 6, 6, 6, 10, 11]]
[[10, 11, 11], [10, 10, 12], [3, 9, 9, 9, 9], [12, 12, 12], [], [11], [7, 11, 11, 12], [7, 7, 7, 10, 10], [5, 6, 6, 6, 6, 11]]
[[], [5, 7, 7, 7, 7], [11, 11, 11], [3, 9, 11], [6, 6, 6, 6, 10], [9, 9, 11], [10, 10, 10], [9, 12], [12, 12, 12], [10, 11, 12]]
[[], [11], [9, 11, 11], [3, 5, 12, 12], [10, 10, 10], [6, 9, 9, 9], [10, 12], [11, 11, 11], [12, 12], [7, 7, 7, 7], [6, 6, 6, 10]]
[[3, 10, 10], [10], [12, 12], [11, 11], [9, 10], [11, 11], [10, 12], [11, 11], [9, 9, 9], [7, 7, 7, 7], [12, 12], [5, 6, 6, 6, 6]]
[[10], [6, 9, 12], [10, 10], [9, 9, 9], [11, 11], [12, 12], [11, 11], [], [3, 12, 12], [11, 11], [7, 7, 7, 7], [5, 10, 10], [6, 6, 6]]
[[6, 6, 6], [7, 7, 7], [11, 11], [12, 12], [7, 10], [5], [9, 9], [11, 11], [9, 9], [12, 12], [6, 12], [3, 10, 10], [11, 11], [10, 10]]
[[], [3, 10, 12], [10, 10], [11, 11], [5, 9, 9], [6, 7, 11], [10, 10], [6, 6, 11], [11, 11], [12, 12], [12, 12], [], [6, 9, 9], [], [7, 7, 7]]
[[6, 6, 9], [6, 12], [6], [12], [11, 11], [3, 9, 9], [12], [10, 11], [11], [5, 12], [9, 12], [11], [7, 7, 7], [10, 10], [10, 11], [7, 10]]
[[5, 11], [6, 7], [12], [11], [12], [7, 7, 7], [6, 12], [10, 10], [9, 11], [11], [3, 9, 9], [11], [10, 10], [6, 12], [6, 11], [12], [9, 10]]
[[7, 12], [], [7, 7, 7], [], [10, 10], [6, 12], [10, 11], [3, 5, 11], [9, 11], [11], [12], [10], [6, 12], [9, 9], [10, 11], [9, 11], [12], [6, 6]]
[[], [], [6, 12], [10, 10], [6, 10], [6, 11], [6, 7, 7], [9, 9], [12], [5, 12], [3, 11], [11], [12], [12], [11], [10, 10], [7, 11], [9, 9], [7, 11]]
[[11], [], [12], [6, 10], [6, 11], [6, 11], [3, 11], [12], [12], [7, 11], [5, 12], [9, 9], [7, 10], [10], [7, 7], [9, 9], [6, 10], [12], [10], [11]]
[[11], [6, 6], [11], [9], [6, 11], [12], [7, 10], [6, 11], [10], [11], [7, 9], [7, 10], [12], [7, 9], [12], [10], [5, 12], [9], [10], [3, 12], [11]]
[[3, 10], [12], [9], [7, 9], [12], [10], [6, 10], [11], [11], [11], [12], [7, 7], [11], [10], [6, 9], [12], [11], [9], [11], [7, 10], [5, 12], [6, 6]]
[[7, 9], [6, 9], [6], [11], [3, 11], [11], [12], [12], [11], [10], [12], [12], [7, 7], [11], [11], [10], [10], [12], [7, 9], [5, 9], [10], [10], [6, 6]]
[[3, 11], [12], [6, 7], [11], [11], [10], [9], [11], [10], [5, 10], [6, 10], [12], [10], [9], [9], [12], [11], [12], [7, 9], [11], [], [7, 7], [12], [6, 6]]
[[6], [10], [12], [3, 11], [12], [11], [7, 7], [9], [9], [6], [10], [11], [6, 6], [10], [12], [9], [7, 7], [11], [11], [5, 9], [12], [11], [12], [10], [10]]
[[10], [10], [9], [6], [3, 10], [10], [6, 6], [11], [11], [7, 7], [12], [11], [9], [12], [10], [11], [11], [5, 9], [12], [11], [], [7, 7], [9], [12], [12], [6]]
[[10], [10], [5, 9], [6], [], [9], [12], [12], [7, 7], [11], [12], [10], [9], [], [10], [11], [3, 11], [9], [6], [7, 7], [11], [10], [12], [12], [11], [11], [6, 6]]
[[6, 6], [6], [7], [5], [], [3, 10], [9], [9], [11], [7], [11], [12], [10], [11], [9], [12], [6, 7], [10], [10], [12], [11], [12], [7], [10], [11], [9], [11], [12]]
[[10], [6, 6], [6, 7], [10], [5, 6], [12], [3], [9], [11], [10], [10], [12], [11], [11], [7], [10], [11], [11], [9], [7], [11], [12], [12], [9], [12], [], [7], [9], []]
[[3, 7], [6, 6], [], [6], [6], [12], [], [12], [9], [11], [12], [10], [9], [12], [10], [10], [11], [5, 7], [11], [11], [7], [12], [11], [11], [10], [], [9], [9], [7], [10]]
[[6, 6], [7], [9], [12], [12], [5, 6], [], [10], [6], [9], [], [7], [10], [11], [10], [12], [11], [11], [], [3], [9], [11], [12], [10], [10], [12], [9], [11], [7], [11], [7]]
-EndAllocation

Instance: [[1], [271], 31]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,31. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,31:
-StartAllocation
[[6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10], [4, 5, 7, 7, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 12, 12]]
[[6, 6, 6, 10, 10, 12, 12, 12, 12, 12], [7, 7, 7, 9, 9, 9, 11, 11, 11, 11], [4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 11], [4, 7, 7, 7], [10, 10, 12, 12, 12, 12, 12], [5, 6, 6, 6, 9, 9, 9, 11, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 6, 6, 6, 10, 10, 12], [11, 11, 11, 11], [9, 9, 9], [4, 7, 7, 7, 12, 12, 12, 12]]
[[6, 6, 6, 7, 7, 8, 8, 9], [9, 9, 10, 10, 12], [4], [11, 11, 11, 11], [7, 12, 12, 12, 12], [5, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 8, 8, 8, 8], [8, 11, 11, 11, 11], [7, 7, 7, 9, 9, 9], [10, 10, 12], [], [4, 5, 8, 8, 8, 8], [12, 12, 12, 12]]
[[8, 8, 8, 8, 8], [11, 11, 11], [6, 6, 6, 9, 12], [7, 7, 7], [9, 9, 11, 12], [8, 8, 8, 8], [4, 10, 10], [5, 12, 12, 12]]
[[9, 9, 9, 12], [4, 6, 6, 6, 12], [10, 10], [12, 12, 12], [11], [8, 8, 8, 8, 8], [11, 11, 11], [7, 7, 7], [5, 8, 8, 8, 8]]
[[8, 8, 8, 8], [7, 7, 7], [11, 11, 11], [6, 6, 6, 11], [8], [4, 9, 9, 9], [5, 10, 10], [8, 8, 8, 8], [12, 12, 12], [12, 12]]
[[8, 8, 8, 8], [4, 5, 6, 6, 12], [8, 11, 11], [12, 12], [10, 10], [9, 9, 9], [], [6, 11, 11], [12, 12], [7, 7, 7], [8, 8, 8, 8]]
[[5, 8, 8, 8], [6, 8, 8, 8], [6, 12, 12], [11, 11], [10, 10], [], [12], [4, 11, 11], [9, 9, 9], [7, 7, 7], [6, 12, 12], [8, 8, 8]]
[[8, 8], [5, 9, 12], [4, 6, 8, 8], [8, 9, 9], [6, 11, 11], [6, 8, 12], [11, 11], [12], [12, 12], [], [7, 7, 7], [10, 10], [8, 8, 8]]
[[8, 8, 8], [5, 7, 9], [11, 11], [12, 12], [10, 10], [7, 8, 8], [], [8], [7, 9, 9], [12, 12], [12], [6, 6, 6], [4, 11, 11], [8, 8, 8]]
[[9, 12], [5, 6, 6, 6], [8, 8], [8, 11], [], [8, 8, 8], [10, 10], [4], [11, 11], [12, 12], [12, 12], [11], [9, 9], [8, 8, 8], [7, 7, 7]]
[[4, 8, 8], [5, 8, 8], [6, 6, 8], [8, 8], [9, 9], [12], [11], [12], [11], [6, 11], [8, 12], [8, 11], [7, 7, 7], [10, 10], [12], [9, 12]]
[[4, 5, 8], [6, 8], [8, 8], [6, 6, 8], [9, 12], [7, 7, 7], [11], [11], [12], [11], [], [8, 12], [10, 10], [9, 12], [8, 8], [8, 12], [9, 11]]
[[4, 8, 8], [5, 8, 8], [8, 11], [8, 8], [10, 10], [], [6, 6], [7, 7, 7], [12], [12], [12], [9, 12], [12], [9, 9], [11], [11], [8, 8], [6, 11]]
[[4, 8, 8], [8, 8], [12], [8, 8], [5, 6, 6], [6, 12], [7, 7], [12], [12], [8, 8], [11], [9], [12], [11], [11], [10, 10], [8, 11], [9, 9], [7]]
[[8, 8], [8, 8], [8, 8], [4, 11], [7, 7], [6, 6, 6], [11], [12], [11], [10], [12], [11], [12], [12], [7, 9], [9, 9], [5, 12], [], [8, 10], [8, 8]]
[[7, 7], [8, 8], [8, 8], [8, 8], [4], [5, 10], [12], [12], [6, 10], [6, 11], [6, 11], [8, 9], [12], [12], [11], [7, 9], [9], [], [11], [12], [8, 8]]
[[8, 8], [4, 6, 6], [8, 9], [5, 11], [6, 11], [], [12], [], [8, 8], [12], [11], [7, 7], [12], [12], [9], [12], [9], [7, 10], [10], [8, 8], [11], [8, 8]]
[[4, 8], [8, 8], [8, 8], [11], [11], [12], [9], [11], [12], [10], [12], [], [9], [12], [7, 7], [6, 10], [5], [12], [11], [6, 9], [6, 7], [8, 8], [8, 8]]
[[4, 11], [5, 6], [6, 9], [6, 8], [11], [10], [8], [8], [8, 8], [12], [11], [12], [10], [], [], [12], [11], [9], [7, 9], [12], [8, 8], [7, 7], [12], [8, 8]]
[[11], [4, 8], [5, 9], [11], [8], [6, 8], [12], [12], [11], [10], [8], [12], [6, 8], [7], [9], [12], [8], [7, 7], [10], [8], [11], [8], [9], [12], [6, 8]]
[[12], [4, 10], [5, 8], [9], [6, 8], [6, 8], [8], [10], [12], [9], [12], [11], [12], [12], [11], [11], [9], [7, 7], [8], [7], [8], [8], [], [11], [8], [6, 8]]
[[4, 8], [6, 8], [6, 6], [12], [8], [12], [9], [8], [7, 7], [11], [9], [8], [10], [5, 9], [], [11], [12], [7], [8], [8], [10], [8], [12], [12], [11], [11], [8]]
[[5, 7], [6, 6], [8], [8], [8], [8], [8], [8], [6], [10], [12], [10], [8], [11], [9], [12], [7], [4, 8], [9], [7], [11], [12], [9], [12], [12], [11], [11], [8]]
[[9], [8], [9], [12], [12], [8], [12], [8], [9], [10], [4, 7], [11], [12], [11], [6], [10], [8], [12], [5, 7], [8], [8], [8], [11], [6, 7], [11], [8], [6], [], [8]]
[[9], [], [8], [8], [8], [8], [8], [12], [12], [6, 6], [4, 8], [], [11], [12], [9], [5, 7], [], [8], [12], [10], [11], [12], [10], [11], [8], [11], [9], [8], [6, 7], [7]]
[[10], [4, 8], [12], [12], [7], [12], [9], [9], [5, 7], [], [8], [12], [11], [8], [8], [8], [8], [11], [8], [11], [], [12], [8], [10], [7], [8], [11], [9], [], [6], [6, 6]]
-EndAllocation

Instance: [[1], [288], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [192, 128, 96, 77, 64, 56, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [144, 96, 72, 58, 48, 42, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12], [6, 6, 6, 6, 6, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12], [9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11], [6, 6, 6, 6, 6, 7, 9]]
[[9, 9, 9, 9, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8], [11, 11, 11, 11, 11], [6, 6, 6, 6, 6, 7, 10, 10, 10, 10]]
[[6, 7, 11, 11, 11, 11, 11], [9, 9, 9, 9, 10, 10, 10, 10], [], [6, 6, 6, 6, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 11, 11, 11, 12], [8, 8, 8, 8, 8, 8, 8, 8], [8, 10, 10, 10, 10], [7], [6, 6, 6, 12, 12, 12], [6, 9, 9, 9, 9, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8], [8, 8], [7, 9, 9, 9, 9], [10, 10, 10, 10], [12, 12, 12, 12], [11, 11, 11, 11, 11], [6, 6, 6, 6, 6]]
[[8, 8, 8], [12, 12, 12, 12], [], [6, 6, 6, 6, 6, 11], [8, 8, 8, 8, 8, 8], [7, 9, 9, 9, 9], [11, 11, 11, 11], [10, 10, 10, 10]]
[[6, 6, 6, 6, 6, 8], [8, 9, 10], [8, 11, 11, 11], [8, 12, 12], [8, 11, 11], [8, 9, 9, 9], [8, 12, 12], [7, 8], [8, 10, 10, 10]]
[[6, 8], [6, 6, 6, 6, 12], [8, 8, 8, 8], [7], [9, 9, 9, 9], [8, 8, 8, 8], [12, 12, 12], [11, 11, 11], [10, 10, 10], [10, 11, 11]]
[[8, 8, 8, 11], [6, 8, 8], [], [9, 9, 9, 9], [6, 6, 7, 11], [6, 6, 10, 12], [], [12, 12, 12], [11, 11, 11], [10, 10, 10], [8, 8, 8, 8]]
[[9, 9, 9], [], [11, 11], [10, 10, 10], [12, 12], [11, 11], [7, 9, 10], [8, 8, 8, 8], [6, 6, 6, 6, 6], [8, 11], [12, 12], [8, 8, 8, 8]]
[[6, 8, 8, 8], [6, 8, 8, 8], [6, 11, 11], [10], [9, 12], [], [6, 11, 11], [9, 9, 9], [12, 12], [10, 10, 10], [11], [7, 12], [6, 8, 8, 8]]
[[10, 11], [8, 8, 8], [6, 6, 6, 10], [6, 6, 10], [7, 9], [12, 12], [10], [9, 9, 9], [8, 8, 8], [12, 12], [], [11, 11], [11, 11], [8, 8, 8]]
[[6, 6, 11], [6, 6, 12], [6, 10, 10], [], [11, 11], [9, 9], [8, 8, 8], [], [9, 9], [10, 10], [11, 11], [8, 8, 8], [7, 12], [12, 12], [8, 8, 8]]
[[6, 6, 6, 6], [8, 8, 8], [12, 12], [6, 7], [9, 9], [11, 11], [], [10, 10], [10, 10], [12, 12], [], [9, 9], [8, 8, 8], [11, 11], [11], [8, 8, 8]]
[[6, 6, 6], [6, 8, 8], [6, 8, 8], [8, 8], [8, 10], [11], [9, 9], [11, 11], [12], [12], [10, 10], [11, 11], [12], [8], [9, 12], [8, 9], [7, 10]]
[[8, 8], [8, 8], [8, 8], [8, 10], [11], [10, 10], [11], [9, 9], [12], [12], [7, 11], [6, 6, 6], [12], [9, 9], [8, 12], [10, 11], [11], [6, 6, 8]]
[[8, 8], [8, 8], [12], [8, 8], [6, 6, 8], [11], [11], [8, 11], [10, 10], [], [12], [11], [9, 9], [7], [9, 12], [10, 10], [9, 12], [6, 11], [6, 6, 8]]
[[10, 10], [8, 8], [8, 8], [8, 8], [6, 11], [11], [6, 11], [12], [], [10, 10], [12], [11], [8, 8], [12], [7], [9, 9], [11], [8, 12], [9, 9], [6, 6, 6]]
[[7, 11], [8, 8], [6, 12], [8], [6, 12], [6, 12], [6, 11], [10], [12], [9, 9], [11], [11], [10], [8, 8], [11], [10], [10], [9, 9], [8, 8], [6], [8, 8]]
[[7, 11], [8, 8], [8, 8], [9, 9], [11], [8, 8], [10], [11], [6, 8], [6, 11], [8, 8], [6, 6, 6], [], [10], [10], [10], [11], [12], [12], [9, 9], [12], [12]]
[[8, 9], [6, 9], [8, 8], [8, 8], [11], [6], [6, 11], [8], [7, 10], [10], [6, 10], [12], [12], [12], [6, 11], [12], [11], [8, 9], [10], [], [11], [8, 9], [8]]
[[6, 10], [6, 9], [12], [8, 8], [8, 8], [10], [8], [11], [11], [9], [6, 10], [8, 8], [7], [10], [12], [12], [11], [9], [9], [12], [11], [11], [6, 6], [8, 8]]
[[11], [6, 8], [6, 8], [8, 8], [10], [6, 10], [8], [12], [10], [11], [9], [9], [11], [11], [12], [6, 6], [9], [8, 8], [11], [9], [12], [7], [12], [10], [8, 8]]
[[6, 6], [6, 8], [6, 8], [12], [11], [8], [9], [11], [7], [12], [11], [8, 8], [10], [10], [10], [12], [9], [], [10], [11], [8, 8], [9], [6, 9], [11], [12], [8, 8]]
[[6, 8], [9], [12], [9], [10], [9], [6, 7], [10], [10], [6, 8], [6, 8], [6, 8], [8], [8], [12], [8], [11], [11], [11], [8], [12], [11], [9], [12], [11], [8], [10]]
[[6, 7], [10], [8], [6, 8], [9], [8], [8], [11], [12], [8], [9], [11], [6, 6], [11], [9], [8], [10], [12], [10], [8], [11], [12], [8], [9], [12], [10], [11], [6, 8]]
[[11], [6, 6], [6, 6], [10], [6, 7], [9], [8], [8], [8], [8], [12], [9], [8], [12], [12], [10], [11], [11], [11], [8], [8], [9], [10], [10], [12], [11], [8], [9], [8]]
[[6, 6], [6], [8], [11], [8], [9], [11], [8], [10], [10], [8], [10], [7], [9], [10], [8], [8], [11], [9], [8], [8], [12], [9], [11], [12], [12], [11], [6, 6], [12], [8]]
[[6], [8], [9], [10], [8], [8], [8], [11], [11], [12], [10], [6, 6], [10], [8], [11], [], [12], [12], [10], [12], [8], [7], [11], [11], [8], [9], [9], [9], [8], [6, 6], [8]]
[[6, 6], [8], [7], [8], [8], [6], [10], [8], [8], [8], [8], [], [11], [], [9], [10], [10], [9], [12], [10], [9], [11], [11], [8], [11], [12], [9], [12], [6, 6], [12], [11], [8]]
-EndAllocation

Instance: [[1], [287], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 4, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [192, 128, 96, 77, 64, 54, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 12], Opt: [144, 96, 72, 58, 48, 41, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12], [3, 4, 4, 4, 6, 7, 7, 12, 12, 12, 12, 12]]
[[7, 7, 8, 8, 9, 9, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [3, 4, 4, 4, 6, 10, 10, 10, 11, 11, 11, 11]]
[[3, 12, 12, 12, 12, 12, 12, 12], [12], [4, 4, 4, 8, 8, 9, 9, 12, 12, 12, 12], [6, 7, 7, 10, 10, 10, 11, 11, 11, 11]]
[[12, 12, 12, 12, 12, 12], [8, 8, 10, 10, 10, 11, 11], [4, 4, 4, 9, 9, 11, 11], [12, 12, 12, 12, 12, 12], [3, 6, 7, 7]]
[[3, 12, 12, 12, 12, 12], [10, 10, 11, 11, 11, 11], [12, 12, 12, 12, 12], [10], [4, 4, 4, 8, 8, 12, 12], [6, 7, 7, 9, 9]]
[[8, 9, 10, 10, 10], [4, 4, 4], [3, 7, 7, 8], [12, 12, 12, 12], [6, 12, 12, 12, 12], [12, 12, 12, 12], [9, 11, 11, 11, 11]]
[[3, 7, 7, 12, 12], [11, 11, 11, 11], [12, 12, 12, 12], [], [4, 4, 4, 10, 10, 10], [8, 8], [6, 9, 9, 12, 12], [12, 12, 12, 12]]
[[3, 4, 4, 9, 9, 11], [12, 12, 12], [6, 11, 11, 11], [], [10, 10, 10], [12, 12, 12], [12, 12, 12], [7, 7, 8, 8], [4, 12, 12, 12]]
[[3, 10, 10, 10], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11], [7, 7, 8, 8], [11, 11, 11], [6], [4, 4, 4, 9, 9], [12, 12, 12]]
[[3, 9, 9], [4, 4, 4, 12, 12], [12, 12, 12], [8, 8, 12], [12, 12, 12], [12, 12, 12], [11, 11, 11], [], [6, 10, 10, 10], [7, 7], [11]]
[[3, 6, 9, 9], [12, 12], [12, 12], [11, 12], [7, 7, 12], [8, 8], [10, 10, 10], [4, 4, 4, 11], [12, 12], [12, 12], [12, 12], [11, 11]]
[[3, 4, 4, 4, 8], [6, 7, 7, 8], [12, 12], [11, 11], [12, 12], [11, 11], [12, 12], [9], [12, 12], [12, 12], [12, 12], [10, 10, 10], [9]]
[[3, 9, 11], [4, 4, 4, 9], [6, 10, 10], [12, 12], [12, 12], [12], [12], [], [11, 11], [12, 12], [12, 12], [12, 12], [8, 8, 11], [7, 7, 10]]
[[3, 9, 9], [12, 12], [11, 11], [12, 12], [6], [4, 4, 4], [10, 10], [8, 8], [12, 12], [12, 12], [12, 12], [11, 11], [], [10, 12], [7, 7, 12]]
[[3, 7, 8], [11, 11], [11, 11], [12, 12], [12, 12], [12, 12], [8], [12, 12], [10, 10], [12, 12], [12], [9, 9], [4, 4, 4, 10], [7, 12], [6], []]
[[3, 9, 9], [12], [7, 12], [12], [12], [8, 12], [12], [12], [7, 10], [8, 12], [11, 11], [12], [11, 11], [10, 10], [6, 12], [4, 4, 12], [4, 12]]
[[7, 12], [7, 12], [12], [6, 12], [10, 11], [9, 9], [12], [10, 11], [12], [12], [8, 8], [12], [12], [10, 11], [4, 4, 12], [12], [12], [3, 4, 11]]
[[8, 11], [12], [12], [6, 12], [4, 4, 4], [12], [12], [9, 9], [12], [12], [8, 12], [12], [10, 10], [12], [11], [10, 11], [7, 12], [3, 11], [7, 12]]
[[3, 4, 10], [4, 12], [9, 9], [4, 12], [12], [6, 11], [12], [10, 10], [12], [11], [11], [11], [12], [12], [12], [12], [8, 8], [12], [7, 12], [7, 12]]
[[3, 11], [7, 11], [8, 10], [12], [12], [12], [12], [4, 4, 4], [12], [7, 11], [11], [12], [12], [10], [12], [12], [9, 9], [8, 10], [12], [12], [6, 12]]
[[3, 11], [4, 4, 4], [9, 9], [12], [7, 11], [12], [12], [10], [10], [6, 12], [12], [11], [12], [8, 8], [12], [12], [10], [12], [12], [12], [7, 11], [12]]
[[3, 7, 7], [12], [8, 8], [4, 4, 9], [12], [12], [10], [6, 9], [12], [12], [11], [12], [10], [4, 12], [11], [12], [12], [12], [12], [12], [11], [11], [10]]
[[3, 7], [8, 8], [9], [11], [12], [12], [11], [12], [12], [12], [10], [4, 4, 4], [6, 10], [12], [10], [12], [12], [7, 9], [12], [12], [12], [12], [11], [11]]
[[7, 7], [12], [12], [4, 4, 4], [6, 10], [12], [], [8, 8], [11], [11], [12], [11], [12], [12], [12], [3, 10], [10], [11], [12], [12], [12], [12], [9], [12], [9]]
[[3, 12], [9], [12], [11], [12], [9], [11], [], [12], [12], [7, 7], [12], [12], [], [12], [11], [12], [12], [12], [10], [8, 8], [4, 4, 4], [12], [11], [10], [6, 10]]
[[7, 7], [11], [], [12], [], [9], [6, 8], [3, 11], [11], [12], [9], [12], [12], [12], [12], [12], [10], [11], [4, 4, 4], [12], [12], [12], [12], [10], [8], [12], [10]]
[[3, 11], [8], [12], [8], [12], [12], [12], [12], [11], [12], [], [10], [11], [12], [12], [11], [7, 7], [4, 4, 4], [12], [9], [12], [6], [10], [12], [12], [10], [9], []]
[[3, 7], [4, 4, 4], [12], [10], [10], [12], [11], [12], [8], [12], [9], [12], [11], [11], [9], [6], [8], [12], [12], [12], [12], [12], [], [12], [10], [7], [], [12], [11]]
[[4, 4, 4], [11], [10], [12], [], [12], [12], [12], [3, 9], [12], [11], [12], [8], [], [], [8], [6], [12], [12], [12], [7], [12], [12], [11], [9], [10], [10], [12], [11], [7]]
[[7], [4, 4, 4], [6], [9], [12], [9], [12], [12], [12], [12], [12], [8], [], [8], [10], [11], [], [12], [11], [10], [], [3], [7], [12], [11], [12], [12], [12], [10], [11], [12]]
[[8], [11], [4, 4, 4], [10], [12], [12], [12], [11], [6], [12], [12], [12], [], [], [9], [11], [], [12], [10], [], [12], [7], [7], [], [8], [12], [12], [10], [12], [12], [11], [3, 9]]
-EndAllocation

Instance: [[1], [286], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [190, 128, 96, 77, 64, 54, 48, 42, 38, 34, 32, 29, 28, 26, 24, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [143, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 5, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12], [3, 6, 7, 7, 7, 7, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11]]
[[3, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], [7, 7, 7, 7, 11, 11, 11, 11], [5, 5, 6, 9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[3, 12, 12, 12, 12, 12, 12], [6, 9, 9, 9, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8], [5, 5, 7, 7, 7, 7, 10, 10, 10, 10]]
[[3, 12, 12, 12, 12, 12, 12], [5, 5, 6, 10, 10, 10, 10], [7, 7, 7, 7, 11, 11, 11, 11], [8], [8, 8, 8, 8, 8, 8, 9, 9, 9]]
[[3, 5, 5, 12, 12, 12], [6, 11, 11, 11, 11], [7, 7, 7, 10, 10, 10, 10], [9, 9, 9, 12, 12, 12], [], [7, 8, 8, 8, 8, 8, 8, 8]]
[[3, 5, 7, 7, 7, 7, 9, 9], [8, 8, 8, 8, 8, 9], [5, 12, 12, 12, 12], [8, 8], [6, 11, 11, 11, 11], [12], [10, 10, 10, 10, 12]]
[[3, 5, 5, 8, 10], [8, 8, 8, 8, 8, 8], [7, 7, 7, 7], [], [12, 12, 12, 12], [9, 9, 9, 11], [11, 11, 11, 12], [6, 10, 10, 10, 12]]
[[10, 10, 10, 10], [3, 7, 7, 7, 7], [8, 8], [11, 11, 11], [12, 12, 12], [12, 12, 12], [5, 5, 9, 9, 9], [6, 11], [8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8], [7, 7, 9, 11], [7, 7, 9, 12], [6, 11, 12], [10], [8, 8, 8], [10, 10, 10], [11, 12, 12], [5, 5, 11], [9, 12, 12]]
[[8, 8, 8, 8], [3, 6], [9, 9, 9], [10, 12, 12], [12, 12], [5, 5, 11], [7, 7, 7, 7], [10, 10, 10], [11, 11, 11], [12, 12], [8, 8, 8]]
[[3, 5, 12, 12], [5, 10], [], [7, 7, 7, 7], [12, 12], [11, 11], [10, 10, 10], [9, 9, 9], [12, 12], [8, 8, 8, 8], [6, 11, 11], [8, 8, 8]]
[[3, 5, 5, 8], [8, 8, 8], [12, 12], [11, 11], [7, 7, 7, 7], [12, 12], [12], [9, 9, 9], [6, 12], [10, 10], [10, 10], [11, 11], [8, 8, 8]]
[[5, 5, 8, 8], [8, 8, 8], [10, 10], [11, 11], [9, 9, 9], [3, 11, 11], [], [], [12, 12], [12, 12], [12, 12], [10, 10], [7, 7, 7, 7], [6, 8, 8]]
[[8, 8, 8], [3, 10, 10], [12, 12], [5], [10, 10], [6, 9, 9], [12, 12], [9], [11, 11], [11, 11], [12, 12], [7], [5, 8], [8, 8, 8], [7, 7, 7]]
[[3, 5, 5], [8], [11, 11], [9, 9], [11, 11], [10, 10], [12, 12], [12, 12], [12, 12], [8, 8, 8], [], [], [7, 7, 7], [10, 10], [6, 7, 9], [8, 8, 8]]
[[5, 8, 8], [3, 5, 8], [12], [6, 12], [11, 11], [8, 8], [12], [9, 12], [], [7, 12], [7, 7, 7], [10, 10], [9, 9], [11, 11], [10, 10], [8, 8], [12]]
[[5, 8, 8], [3, 5, 8], [8], [12], [11], [11], [9, 9], [7, 7, 7], [12], [12], [9, 12], [10, 10], [8, 12], [8, 8], [11], [10, 10], [6, 11], [7, 12]]
[[5, 8, 8], [5, 8, 8], [9, 12], [12], [11], [12], [7, 7, 7], [10, 10], [], [7, 9], [12], [9, 11], [12], [11], [11], [10, 10], [6], [8, 12], [3, 8, 8]]
[[3, 8, 8], [11], [8, 8], [8, 8], [5, 11], [12], [12], [12], [], [10, 10], [12], [10, 10], [], [9, 11], [7, 12], [11], [7, 12], [9, 9], [7, 7], [5, 6, 8]]
[[8, 8], [8, 8], [8, 8], [10], [5, 12], [5, 10], [9], [11], [12], [10], [7, 7], [12], [7, 11], [9, 9], [6, 12], [11], [12], [12], [7, 11], [10], [3, 8]]
[[8, 8], [5, 12], [8, 8], [9], [5, 12], [12], [11], [7, 10], [7, 7], [10], [10], [6, 10], [11], [12], [8], [12], [9], [11], [7, 9], [11], [3, 12], [8, 8]]
[[8, 8], [3, 10], [8, 8], [8, 8], [5, 12], [12], [12], [11], [12], [10], [10], [11], [8], [6], [11], [9], [7, 9], [12], [12], [7, 9], [5, 10], [7, 7], [11]]
[[6, 10], [8, 8], [7, 8], [9], [11], [12], [11], [12], [11], [], [10], [10], [8, 8], [5, 10], [9], [12], [11], [9], [5, 8], [12], [3, 12], [7, 7], [12], [7, 8]]
[[5, 5], [9], [8, 8], [11], [12], [12], [9], [11], [12], [11], [], [9], [12], [12], [11], [6, 10], [7, 7], [8, 8], [10], [10], [10], [8, 8], [3, 12], [7, 7], [8]]
[[3, 8], [6, 8], [10], [10], [10], [5, 9], [5, 8], [8], [11], [12], [10], [7, 7], [12], [8], [8], [11], [12], [9], [8], [11], [9], [11], [7, 7], [12], [12], [12]]
[[5, 7], [6, 8], [8], [9], [5, 8], [7], [11], [9], [10], [12], [8], [8], [10], [12], [8], [12], [12], [9], [10], [7, 7], [11], [12], [12], [11], [11], [10], [3, 8]]
[[3, 5], [5, 8], [12], [8], [8], [8], [10], [8], [12], [9], [7, 7], [11], [9], [10], [], [10], [11], [12], [10], [9], [11], [7, 7], [12], [12], [12], [8], [11], [6, 8]]
[[12], [3, 8], [7], [12], [9], [8], [8], [7], [10], [8], [10], [12], [11], [11], [7], [10], [11], [8], [8], [10], [5, 5], [12], [9], [12], [12], [8], [11], [9], [6, 7]]
[[3, 8], [5, 6], [10], [], [7], [10], [8], [7], [11], [8], [9], [12], [9], [11], [12], [7], [10], [11], [9], [5, 8], [7], [12], [12], [11], [12], [12], [10], [8], [8], [8]]
[[3, 5, 5], [8], [9], [8], [10], [10], [12], [12], [12], [], [7], [8], [11], [7], [10], [12], [11], [11], [8], [], [8], [8], [12], [12], [10], [11], [8], [7], [9], [6, 7], [9]]
[[7], [], [8], [6], [8], [8], [10], [8], [9], [5, 5], [7], [8], [10], [7], [7], [11], [12], [10], [12], [11], [9], [], [12], [10], [11], [9], [12], [12], [3, 8], [12], [11], [8]]
-EndAllocation

Instance: [[1], [285], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [190, 126, 96, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [143, 95, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[1, 6, 6, 6, 6, 7, 7, 9, 9, 11, 11, 11, 11, 12], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12]]
[[1, 6, 6, 6, 6, 11, 11, 11, 11, 12, 12, 12, 12], [7, 7, 9, 9, 10, 12], [8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10]]
[[1, 6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 10], [9, 9, 11, 11, 11, 11], [12, 12, 12, 12, 12]]
[[1, 8, 8, 8, 8, 8, 8, 8, 8, 10], [], [6, 6, 6, 6, 10, 10, 10, 10, 10], [7, 7, 9, 11, 11, 11, 11], [9, 12, 12, 12, 12, 12]]
[[1, 6, 6], [8, 8, 11, 11, 11, 11], [7, 7, 9, 9], [6, 6, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10], [12, 12, 12, 12, 12]]
[[1, 7, 7, 12, 12], [8, 8, 8, 8, 8, 8], [8, 8, 12, 12], [10, 10, 10, 10, 12], [6, 6, 6, 6], [9, 9, 10, 10], [11, 11, 11, 11]]
[[1, 8, 12, 12, 12], [10, 10, 10, 10], [8], [6, 6, 6, 6], [7, 7, 12, 12], [9, 9, 10, 10], [8, 8, 8, 8, 8, 8], [11, 11, 11, 11]]
[[1, 6, 8, 8, 8, 8], [12, 12, 12], [7, 7, 11], [10, 10, 10, 10], [11, 11, 11], [6, 6, 6, 12, 12], [10, 10], [9, 9], [8, 8, 8, 8]]
[[6, 8, 8, 8, 8], [1, 6, 6, 10, 10], [10, 10, 11], [], [11, 12, 12], [6, 8, 8, 8, 8], [9, 9], [10, 10], [7, 7, 11, 11], [12, 12, 12]]
[[1, 8, 8, 8, 8], [8, 8, 8, 8], [6, 7, 7, 9], [12, 12], [10, 10, 10], [6, 6, 6, 9], [], [11, 11, 11], [10, 10, 10], [11, 12], [12, 12]]
[[8, 12, 12], [1, 8, 12], [9, 9], [10, 10, 10], [12, 12], [11, 11], [], [11, 11], [8, 8, 8, 8], [6, 6, 7, 7], [10, 10, 10], [6, 6, 8, 8]]
[[1, 8, 8, 8], [8, 8, 8], [11, 11], [12, 12], [7, 7], [10, 10], [12, 12], [10, 10], [10, 10], [6, 6, 6, 6], [8, 8, 12], [11, 11], [9, 9]]
[[1, 8, 8, 8], [6, 9, 9], [11, 11], [8, 8, 8], [6, 11, 11], [10, 10], [10, 10], [], [12], [12, 12], [12, 12], [10, 10], [7, 7], [6, 6, 8, 8]]
[[1, 6, 6, 8], [6, 6], [10, 10], [8, 8, 8], [12, 12], [], [10, 10], [11, 11], [11, 11], [10, 10], [12, 12], [12], [9, 9], [8, 8, 8], [7, 7, 8]]
[[1, 10, 10], [6, 8, 8], [6, 6, 12], [9, 12], [], [10, 10], [11, 11], [12, 12], [11, 11], [9], [8, 8, 8], [], [7, 7], [10, 10], [6, 12], [8, 8, 8]]
[[1, 12], [6, 8, 8], [8, 8], [8, 8], [10, 10], [7, 7], [12], [10, 10], [12], [10, 10], [8, 8], [11, 11], [12], [11, 11], [9, 9], [6, 6], [6, 12]]
[[1, 8, 12], [8, 8], [8, 8], [6, 12], [10, 11], [8, 8], [6, 6, 8], [12], [10, 11], [10, 10], [7, 7], [11], [11], [9, 9], [], [10, 10], [6, 12], [12]]
[[1, 8, 8], [8, 8], [8, 12], [8, 10], [8, 10], [12], [8, 12], [11], [9, 10], [], [12], [11], [11], [7, 7], [9, 11], [10, 10], [12], [6, 6, 6], [6, 10]]
[[1, 11], [8, 8], [8, 8], [8, 8], [10, 10], [6, 6, 6], [6, 11], [11], [11], [10, 10], [12], [12], [7, 7], [12], [], [9, 9], [12], [12], [10, 10], [8, 8]]
[[1, 6, 10], [8, 10], [8, 8], [8, 8], [6, 10], [6, 10], [12], [12], [11], [11], [12], [9, 9], [12], [7, 7], [11], [10], [8], [12], [10], [6, 11], [8, 8]]
[[1, 8, 8], [8, 8], [8, 8], [9], [7, 10], [12], [6, 9], [6, 10], [6, 10], [7, 10], [12], [11], [6, 11], [11], [10], [11], [12], [10], [12], [], [12], [8, 8]]
[[1, 6, 10], [8, 8], [11], [10], [], [6, 10], [7, 10], [6, 10], [8, 9], [12], [12], [12], [6, 11], [11], [12], [8, 9], [11], [12], [], [8, 8], [10], [7], [8, 8]]
[[8, 8], [1, 6, 9], [6, 10], [8, 8], [12], [12], [10], [10], [12], [12], [11], [11], [7, 7], [], [8, 8], [10], [9], [8, 8], [12], [10], [11], [10], [6, 6], [11]]
[[1, 12], [8, 8], [8, 8], [8, 8], [6, 10], [10], [11], [11], [11], [10], [7, 9], [6, 9], [11], [6, 10], [8, 8], [12], [10], [7], [12], [6], [], [10], [], [12], [12]]
[[1, 9], [8], [8], [11], [10], [7, 7], [10], [12], [10], [12], [12], [8], [10], [10], [6, 8], [6, 8], [9], [8], [11], [12], [12], [6, 8], [11], [10], [11], [6, 8]]
[[1, 8], [12], [10], [8], [12], [10], [6, 8], [9], [12], [10], [10], [11], [9], [11], [8], [8], [10], [8], [10], [12], [11], [7], [11], [6, 7], [6, 8], [12], [6, 8]]
[[1, 10], [6, 8], [10], [10], [6, 8], [9], [7, 7], [6, 8], [9], [10], [6], [10], [8], [12], [8], [12], [11], [11], [12], [11], [10], [], [12], [8], [8], [8], [11], [12]]
[[1, 8], [8], [6, 7], [10], [6], [8], [9], [8], [8], [12], [8], [11], [12], [10], [10], [11], [10], [12], [9], [8], [10], [12], [8], [7], [12], [10], [11], [11], [6, 6]]
[[1, 8], [6, 6], [8], [10], [6], [8], [8], [8], [10], [7], [10], [11], [11], [10], [12], [11], [], [10], [12], [12], [9], [8], [9], [8], [12], [12], [10], [8], [11], [6, 7]]
[[1, 10], [6, 7], [10], [8], [6], [10], [10], [8], [8], [9], [11], [8], [12], [8], [10], [12], [11], [11], [], [], [8], [12], [8], [7], [12], [8], [9], [12], [10], [11], [6, 6]]
[[1, 7], [6, 6], [8], [8], [8], [8], [8], [8], [8], [7], [12], [11], [10], [], [10], [11], [9], [10], [], [12], [8], [10], [12], [10], [11], [], [10], [12], [9], [12], [11], [6, 6]]
-EndAllocation

Instance: [[1], [284], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 4, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12], [3, 6, 6, 7, 7, 9, 10, 10, 11, 11, 11, 11]]
[[3, 6, 6, 7, 7, 10, 12], [9, 11, 11, 11, 11, 12, 12, 12, 12, 12], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[3, 10, 10, 10, 10, 10, 11, 11, 11], [4, 4, 7, 7, 11, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 12], [6, 6, 9]]
[[3, 7, 7, 12, 12, 12, 12], [4, 4, 6, 6, 10, 10, 10, 10, 12], [8, 8, 8, 8, 8, 8, 8, 8, 10], [8, 11, 11, 11, 11, 12], [9]]
[[3, 6, 6, 12, 12, 12, 12], [7, 7, 9, 12, 12], [4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [11, 11, 11, 11]]
[[3, 6, 6, 7, 7, 8, 8, 8], [8, 8, 8, 8, 8, 8], [4, 4, 9, 12, 12], [11, 11, 11, 11], [12, 12, 12, 12], [], [10, 10, 10, 10, 10]]
[[3, 4, 4, 6, 6, 8, 8, 8], [7, 7, 10, 10, 10], [], [9], [12, 12, 12, 12], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8], [10, 10, 12, 12]]
[[8, 8, 8, 8, 8], [3, 4, 6, 6, 12], [7, 7, 8, 8, 8], [10, 10, 10, 12], [11, 11, 11], [9, 11, 12], [], [4, 12, 12, 12], [8, 10, 10]]
[[3, 8, 8, 8, 8], [6, 6, 12, 12], [7, 7, 9], [4, 4], [8, 12], [8, 8, 8, 8], [11, 11, 11], [10, 10, 11], [10, 10, 10], [12, 12, 12]]
[[8, 8, 8, 8], [8, 8, 8, 8], [3, 4, 4, 6, 6], [10, 10, 10], [12, 12], [7, 7, 11], [9], [12, 12], [11, 11, 11], [10, 10], [8, 12, 12]]
[[8, 12, 12], [7, 12, 12], [4, 4, 9], [3, 10, 10], [12, 12], [6, 6], [], [7, 11, 11], [11, 11], [8, 8, 8, 8], [10, 10, 10], [8, 8, 8, 8]]
[[3, 8, 8, 8], [8, 8, 8], [12, 12], [6, 8], [12, 12], [7, 10, 10], [7, 9], [11, 11], [12, 12], [4, 4], [11, 11], [6, 10, 10], [8, 8, 10]]
[[3, 8, 8, 8], [9, 10], [6, 6, 12], [8, 8, 8], [10, 10], [11, 11], [11, 11], [12], [12], [12], [4, 4, 12], [10, 10], [7, 7, 12], [8, 8, 8]]
[[4, 4, 6, 6], [12, 12], [3, 10, 10], [8, 8, 8], [12, 12], [10], [8, 8, 8], [11, 11], [11, 11], [10, 10], [12, 12], [], [9], [8, 8, 8], [7, 7]]
[[8], [3, 4, 4, 8], [12, 12], [8, 9], [8], [10, 10], [11, 11], [12, 12], [11, 11], [8], [8], [12, 12], [7, 7, 8], [10, 10], [8, 10], [6, 6, 8]]
[[6, 8, 8], [4, 8, 8], [9, 12], [3, 6, 12], [11, 11], [8, 12], [12], [12], [12], [10, 10], [7, 7], [10, 10], [11, 11], [], [10], [4, 8, 8], [8, 8]]
[[8, 8], [7, 8], [6, 7, 8], [6, 12], [4, 4, 11], [12], [10, 10], [8, 8], [12], [], [12], [10, 10], [8, 12], [9, 11], [11], [10, 11], [3, 12], [8, 8]]
[[8, 10], [3, 8, 8], [6, 11], [6, 7, 7], [11], [4, 4, 12], [8, 8], [11], [12], [9], [12], [12], [12], [10, 10], [10, 10], [11], [12], [8, 8], [8, 8]]
[[3, 8], [8, 8], [8, 8], [8, 8], [7, 11], [6, 11], [6, 11], [12], [12], [10, 10], [12], [12], [12], [4, 4, 10], [7, 11], [9], [12], [], [10, 10], [8, 8]]
[[3, 4, 11], [8, 8], [8, 9], [8, 8], [10], [8, 10], [6, 10], [6, 12], [12], [7, 10], [12], [12], [12], [7, 11], [], [10], [8], [4, 11], [11], [12], [8, 8]]
[[3, 12], [8], [8, 8], [6, 11], [4, 12], [6, 11], [10], [12], [8, 8], [9], [10], [7, 7], [12], [8, 8], [12], [4, 10], [10], [12], [11], [11], [10], [8, 8]]
[[3, 12], [8, 8], [8, 8], [8, 8], [6, 11], [12], [6, 7], [12], [10], [12], [10], [10], [11], [8], [12], [11], [11], [7, 10], [10], [12], [4, 4], [9], [8, 8]]
[[6, 8], [12], [8, 8], [10], [4, 4], [10], [11], [11], [12], [12], [10], [10], [12], [9], [12], [11], [3, 6], [11], [8, 8], [12], [8, 8], [7, 7], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [4, 10], [12], [6, 6], [], [10], [11], [], [10], [11], [12], [12], [11], [11], [7, 7], [10], [9], [10], [12], [12], [12], [3, 4, 8]]
[[12], [6, 8], [6, 8], [12], [10], [8], [10], [4, 8], [10], [11], [12], [8], [12], [10], [9], [11], [7, 7], [8], [8], [10], [11], [4, 8], [12], [12], [8], [3, 11]]
[[12], [12], [8], [12], [6, 8], [4, 8], [8], [8], [11], [10], [4, 9], [10], [11], [11], [12], [3, 7], [8], [7], [11], [8], [12], [10], [12], [8], [10], [10], [6, 8]]
[[3, 8], [6, 8], [12], [6, 8], [8], [8], [12], [8], [12], [10], [7, 7], [12], [8], [10], [8], [11], [10], [12], [11], [8], [4, 4], [9], [10], [10], [12], [], [11], [11]]
[[8], [4, 6], [6, 7], [8], [10], [12], [9], [3, 8], [], [10], [8], [11], [4, 8], [10], [12], [10], [11], [12], [8], [8], [10], [12], [12], [7], [12], [8], [11], [11], [8]]
[[3, 10], [8], [8], [6, 7], [8], [8], [8], [10], [11], [4, 4], [10], [11], [9], [10], [12], [6, 7], [], [10], [], [12], [8], [12], [12], [11], [12], [11], [12], [8], [8], [8]]
[[3, 8], [4, 4], [6, 7], [10], [8], [8], [8], [8], [], [12], [8], [6], [10], [8], [11], [7], [12], [12], [10], [12], [10], [12], [12], [11], [8], [11], [10], [9], [], [11], [8]]
[[3], [8], [4, 4], [8], [8], [8], [8], [8], [8], [7], [6, 6], [12], [10], [], [10], [12], [12], [10], [], [11], [8], [10], [12], [11], [11], [7], [9], [12], [10], [12], [11], [8]]
-EndAllocation

Instance: [[1], [283], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[8, 8, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12], [3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11]]
[[3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 12], [9, 9, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12], [8, 8, 10, 10, 10, 10, 10, 10, 10]]
[[3, 3, 10, 10, 10, 10, 10, 10, 10, 11], [7, 7, 7, 7, 7, 7, 11, 12, 12, 12], [7, 8, 8, 11], [5, 9, 9, 9, 9, 9, 11, 12]]
[[3, 7, 7, 7, 7, 7, 7, 7, 12, 12], [3, 10, 10, 10, 10, 10, 10, 12], [8, 8, 10, 12], [11, 11, 11, 11], [5, 9, 9, 9, 9, 9]]
[[3, 3, 7, 12, 12, 12, 12], [7, 7, 7, 7, 7, 7, 9, 9], [9, 9], [8, 8, 9], [10, 10, 10, 10, 10, 10], [5, 10, 11, 11, 11, 11]]
[[3, 7, 7, 7, 7, 7, 7, 7], [3, 8, 8], [9, 9, 9, 9, 9], [11, 11, 11, 11], [12, 12, 12, 12], [5, 10, 10], [10, 10, 10, 10, 10]]
[[3, 3, 7, 7, 7], [7, 7, 7, 7, 10, 10], [], [9, 9, 9, 9, 9], [12, 12, 12, 12], [5, 10, 11, 11, 11], [8, 8, 11], [10, 10, 10, 10]]
[[3, 3, 9, 12, 12], [7, 7, 12, 12], [5, 7, 7, 7, 7, 7], [10, 10, 10, 10], [11, 11, 11], [9, 9, 9, 9], [], [10, 10, 10, 11], [8, 8]]
[[3, 3, 8, 8], [5, 9, 9, 9], [7, 7, 7, 7, 7], [7, 7, 9, 9], [12], [11, 11, 11], [10, 11], [10, 10, 10], [10, 10, 10], [12, 12, 12]]
[[], [8, 8], [3, 3, 7, 10, 10], [10, 10, 11], [12, 12], [5, 7, 7, 7, 7], [9, 9, 9], [12, 12], [11, 11, 11], [10, 10, 10], [7, 7, 9, 9]]
[[3, 3, 7, 8, 10], [8, 12, 12], [9, 9, 9], [10, 10, 10], [12, 12], [], [], [11, 11], [5, 11, 11], [7, 7, 7, 7], [10, 10, 10], [7, 7, 9, 9]]
[[3, 3], [8, 8], [7, 9, 12], [7, 9, 9], [9, 9, 10], [7, 10, 10], [12, 12], [7, 10, 10], [7, 10], [11, 12], [7, 11, 11], [7, 10, 11], [5]]
[[3, 7, 7, 9], [9, 9, 9], [7, 10, 10], [5, 9, 12], [10, 10], [3, 11, 11], [11, 12], [11], [], [12, 12], [10], [10, 10], [7, 7, 7, 7], [8, 8]]
[[3, 3, 7, 10], [9, 9], [10, 10], [9], [12, 12], [], [8, 8], [11, 11], [11, 11], [10, 10], [12, 12], [7, 7, 7], [5, 9, 9], [10, 10], [7, 7, 7]]
[[7, 10], [8, 10], [], [9, 9], [], [10, 10], [11, 11], [12, 12], [11, 11], [9, 9], [7, 7, 7], [12, 12], [7, 7, 10], [7, 10], [5, 10], [3, 3, 8, 9]]
[[9, 9], [7], [7, 7, 7], [9, 12], [11, 11], [3, 3, 8, 8], [12], [12], [], [10, 10], [7, 7, 7], [10, 10], [11, 11], [10, 10], [9, 9], [10, 12], [5]]
[[7, 11], [3, 3, 5], [11], [7, 9], [10, 10], [7, 7, 7], [10, 10], [8, 8], [9, 12], [12], [12], [10, 10], [10, 11], [9, 9], [7, 7], [11], [9, 12], []]
[[12], [3, 3, 7, 7], [10, 10], [8, 8], [9, 11], [7, 12], [7, 10], [10, 10], [9], [9], [12], [9, 11], [5, 9], [7, 7], [11], [12], [11], [7], [10, 10]]
[[3, 8, 8], [3], [7, 7], [], [7, 11], [9, 11], [7, 11], [7, 12], [10], [10, 10], [12], [12], [9, 9], [], [10, 10], [9, 9], [5, 11], [12], [10, 10], [7, 7]]
[[3, 3, 12], [5, 11], [11], [10], [7, 10], [7, 9], [12], [7, 9], [7, 10], [8, 9], [7, 11], [9], [12], [11], [7, 10], [10], [], [10], [7, 9], [12], [8, 10]]
[[3, 3, 9], [12], [9], [10], [7, 9], [11], [7, 10], [12], [11], [11], [7, 10], [7, 7], [12], [7, 10], [5, 9], [11], [7, 10], [10], [12], [9], [10], [8, 8]]
[[10], [10], [8, 8], [12], [3, 3, 11], [7, 10], [7, 10], [7, 10], [7, 9], [9], [9], [11], [10], [9], [11], [12], [7, 10], [7, 7], [11], [12], [5, 12], [9], []]
[[3, 3, 10], [7, 7], [7, 9], [7, 7], [9], [10], [11], [11], [12], [9], [10], [9], [12], [9], [12], [11], [5, 10], [10], [11], [12], [8, 8], [7, 7], [10], [10]]
[[3, 3, 9], [5, 9], [7, 9], [11], [7, 7], [10], [10], [10], [7, 9], [11], [7, 7], [10], [8], [10], [12], [11], [], [7, 9], [11], [10], [8], [10], [12], [12], [12]]
[[12], [7, 7], [5, 8], [9], [7], [9], [11], [10], [7, 7], [12], [10], [11], [12], [9], [10], [11], [10], [9], [12], [9], [10], [10], [11], [3, 3, 8], [7, 7], [10]]
[[3, 11], [3, 11], [10], [10], [12], [11], [9], [5, 9], [7, 7], [7], [10], [10], [9], [7], [11], [10], [7], [9], [12], [9], [7, 7], [10], [12], [8], [10], [12], [8]]
[[12], [3, 9], [7], [10], [8], [5, 9], [10], [10], [8], [9], [10], [10], [7, 7], [9], [7, 7], [10], [12], [], [11], [11], [11], [], [9], [10], [7, 7], [3, 11], [12], [12]]
[[3, 10], [11], [3, 7], [7], [7], [9], [10], [7], [9], [10], [7], [10], [10], [12], [9], [11], [11], [7], [9], [10], [10], [12], [11], [5, 7], [12], [8], [12], [8], [9]]
[[5, 7], [9], [7], [9], [8], [7], [9], [10], [11], [11], [10], [12], [9], [10], [10], [7], [9], [12], [11], [10], [10], [10], [11], [12], [8], [], [7], [12], [7], [3, 3, 7]]
[[5, 7], [10], [7], [10], [9], [7], [7], [7], [9], [12], [], [7], [10], [9], [11], [10], [12], [12], [10], [12], [10], [9], [11], [11], [7], [9], [8], [10], [8], [11], [3, 3]]
[[3, 7], [10], [11], [12], [7], [7], [3], [10], [], [7], [7], [10], [], [5, 7], [10], [11], [12], [12], [10], [7], [8], [10], [10], [9], [11], [12], [9], [9], [9], [8], [11], [9]]
-EndAllocation

Instance: [[1], [282], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12], [4, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [11, 11, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11]]
[[], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [10, 10, 11, 11, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12, 12], [11, 11, 12, 12], [12, 12, 12, 12], [10, 10, 12, 12]]
[[], [12, 12, 12, 12], [11, 11, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 12, 12], [], [12, 12, 12, 12]]
[[], [12, 12, 12], [4, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 12], [12, 12, 12], [4, 12, 12, 12], [11, 11], [12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4], [11, 12, 12], [], [12, 12, 12], [4, 4, 4, 12, 12], [12, 12, 12], [10, 10, 11], [12, 12, 12], [12, 12, 12]]
[[12], [10, 10, 12], [4, 4, 4, 4, 12], [12, 12], [11, 11, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4, 4]]
[[], [12, 12], [4, 4, 12], [10, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [10, 11, 11], [12, 12], [12, 12], [4, 4, 12, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 11], [4, 4, 4, 4, 4, 4, 4], [12, 12], [10, 10], [4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [10, 10], [12, 12]]
[[], [10, 10], [12, 12], [12, 12], [], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [], [11, 11], [4, 4, 4, 4, 4, 4]]
[[], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [], [], [12, 12], [12, 12], [12, 12], [10, 10], [4, 4, 4, 4, 4, 4], [], [11, 11], [12, 12]]
[[12], [11, 11], [10, 12], [4, 4, 12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [12], [12], [12], [12], [4, 4, 12], [4, 4, 12], [10, 12], [12], [12]]
[[12], [10, 11], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [12], [12], [12], [4, 4, 12], [12], [10, 11], [4, 4, 12], [12], [12], [4, 4, 12], [12], [12]]
[[11], [4, 4, 12], [12], [12], [12], [12], [4, 4, 12], [4, 4, 12], [12], [12], [12], [4, 4, 11], [12], [12], [10, 10], [4, 4, 12], [12], [4, 4, 12], [12]]
[[12], [12], [12], [12], [12], [4, 4, 11], [11], [4, 4, 12], [4, 12], [10, 10], [12], [4, 4, 4, 4, 4], [12], [12], [4, 4, 12], [12], [12], [12], [12], [12]]
[[12], [12], [4, 12], [10], [12], [4, 12], [4, 4, 10], [12], [4, 12], [11], [12], [12], [4, 12], [12], [4, 12], [4, 4, 4, 4], [12], [12], [12], [11], [4, 12]]
[[10], [4, 12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [4, 12], [12], [4, 4, 4, 4], [12], [4, 11], [4, 11], [12], [10], [12], [12]]
[[11], [12], [12], [12], [11], [10], [12], [4, 4, 4, 4], [12], [4, 4, 4, 4], [12], [12], [12], [10], [12], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12]]
[[12], [12], [12], [4, 4, 4, 4], [11], [12], [12], [12], [12], [12], [12], [10], [12], [4, 4, 4, 4], [], [12], [12], [12], [12], [4, 4, 4, 4], [12], [12], [10], [11]]
[[12], [], [11], [12], [12], [12], [12], [12], [10], [12], [12], [], [11], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [12], [10], [12], [12], [12], [4, 4, 4, 4], [12], [12]]
[[12], [12], [12], [12], [], [12], [12], [12], [12], [12], [12], [11], [10], [12], [12], [12], [4, 4, 4], [12], [4, 4, 4], [4, 4, 4], [10], [12], [12], [], [4, 4, 4], [11]]
[[12], [11], [12], [12], [12], [12], [4, 10], [12], [12], [4, 4, 4], [4, 4], [12], [12], [12], [4, 4, 4], [11], [12], [12], [12], [12], [12], [], [12], [10], [], [4, 4, 4], []]
[[12], [12], [12], [12], [4, 4, 4], [4, 4, 4], [11], [12], [12], [10], [4, 4, 4], [], [12], [12], [12], [12], [12], [11], [12], [], [12], [12], [], [], [12], [12], [10], [4, 4, 4]]
[[11], [4, 4, 4], [12], [12], [4, 4, 4], [12], [10], [10], [12], [12], [4, 4, 4], [12], [], [], [12], [12], [4, 4, 4], [12], [12], [11], [], [12], [12], [12], [12], [12], [], [], [12]]
[[10], [12], [12], [4, 4, 4], [12], [], [12], [12], [], [10], [12], [12], [12], [4, 4, 4], [4, 4, 4], [], [12], [], [11], [12], [12], [12], [4, 4, 4], [12], [], [11], [12], [12], [12], []]
[[12], [12], [], [12], [], [4, 4, 4], [12], [], [12], [12], [12], [12], [12], [], [12], [12], [4, 4, 4], [12], [], [12], [12], [4, 4, 4], [4, 4, 4], [], [12], [], [10], [10], [11], [11], [12]]
[[], [12], [10], [4, 4, 4], [], [12], [12], [12], [10], [], [4, 4, 4], [12], [12], [12], [12], [12], [], [], [], [11], [4, 4, 4], [4, 4, 4], [12], [12], [12], [], [12], [12], [12], [11], [12], []]
-EndAllocation

Instance: [[1], [281], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12], [5, 5, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11]]
[[6, 6, 7, 7, 9, 9], [11, 11, 11, 11, 11, 12, 12, 12, 12, 12], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[6, 6, 7, 7, 8, 10, 11, 11, 11, 11], [10, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10], [5, 5, 10, 11]]
[[12, 12, 12, 12, 12], [6, 6, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 11, 11, 11, 11, 11], [5, 5]]
[[5, 8, 8, 8, 8, 8, 8, 8], [6, 6, 12, 12, 12, 12], [12], [8, 8, 9, 9], [7, 7, 10, 10, 10, 10], [5, 11, 11, 11, 11, 11]]
[[6, 6, 8, 8, 8, 9, 9], [8, 8, 8, 8, 8, 8], [], [5, 5, 7, 7, 11, 12], [10, 10, 10, 10], [12, 12, 12, 12], [11, 11, 11, 11]]
[[6, 6, 8, 8, 8, 11], [10, 10, 10, 10], [11, 11, 11, 11], [], [12, 12, 12, 12], [7, 7, 12], [8, 8, 8, 8, 8, 8], [5, 5, 9, 9]]
[[8, 8, 8, 8, 8], [5, 5, 6, 6, 9, 9], [12, 12], [10, 10, 10, 10], [11, 11, 11], [12, 12, 12], [], [7, 7, 11, 11], [8, 8, 8, 8]]
[[8, 8, 8, 8], [6, 6, 11], [11], [10, 10, 11], [12, 12], [8, 8, 8, 8], [12, 12, 12], [9, 9, 10], [5, 5, 7, 7, 11], [8, 10, 11]]
[[5, 5, 6, 6, 8], [8, 8, 8, 8], [7, 7], [9, 9, 10], [12], [10, 10, 10], [12, 12], [11, 11, 11], [11, 11], [12, 12], [8, 8, 8, 8]]
[[5, 5, 9, 10], [6, 6, 9], [8, 8, 8, 8], [11, 11], [12, 12], [10, 10, 10], [], [8, 12, 12], [11], [7, 7, 12], [11, 11], [8, 8, 8, 8]]
[[5, 8, 8, 8], [8, 8, 8], [12], [9], [7, 7], [6, 6, 11], [8, 8, 8], [12, 12], [9, 10, 10], [10, 10], [11, 11], [11, 11], [5, 12, 12]]
[[12, 12], [7, 7], [5, 5, 10], [8, 8, 8], [11, 12], [11, 11], [8, 9], [8, 8, 8], [], [12, 12], [11, 11], [10, 10], [6, 6, 9], [8, 8, 10]]
[[6, 8, 8], [5, 5, 8], [10, 10], [8, 8, 8], [6], [], [10, 10], [11, 11], [11, 11], [12, 12], [11, 12], [12, 12], [9, 9], [8, 8, 8], [7, 7]]
[[6, 8, 8], [8, 8, 8], [6, 11], [9, 9], [], [10, 10], [11, 11], [5, 5, 12], [11, 11], [7, 7, 8], [], [10, 10], [], [12, 12], [12, 12], [8, 8, 8]]
[[5, 8, 8], [6, 6, 8], [8, 8], [8], [12], [9, 9], [12], [8, 12], [5, 7, 7], [10, 10], [10, 10], [11, 11], [12], [11, 11], [12], [11], [8, 8]]
[[5, 8, 8], [5, 8, 8], [8, 11], [6, 12], [8, 8], [7, 12], [10, 10], [11], [7, 12], [11], [], [11], [10, 10], [9, 9], [12], [11], [6, 12], [8, 8]]
[[8, 8], [8, 8], [6, 12], [8, 8], [5, 11], [10], [12], [11], [12], [9, 9], [8, 12], [8, 11], [12], [10], [11], [10, 10], [11], [6, 7, 7], [5, 8]]
[[7, 9], [8, 8], [7, 8], [8, 8], [11], [11], [11], [], [10, 10], [11], [12], [12], [6, 6], [12], [8, 11], [5, 5, 9], [12], [8, 12], [10, 10], [8, 8]]
[[5, 11], [8, 8], [8, 8], [8, 8], [5, 6], [10], [11], [11], [10], [12], [7, 7], [12], [12], [9, 9], [11], [12], [10], [8, 10], [11], [6, 12], [8, 8]]
[[5, 11], [8, 8], [8, 8], [5, 6, 6], [10], [12], [10], [11], [8, 8], [11], [10], [7, 7], [12], [12], [9], [11], [12], [12], [11], [8, 9], [10], [8, 8]]
[[5, 5], [8, 8], [8, 8], [8, 8], [6, 11], [9], [11], [10], [6, 10], [9], [12], [12], [11], [8], [12], [12], [10], [10], [11], [7, 7], [12], [11], [8, 8]]
[[6, 6], [8, 8], [8, 8], [10], [8], [10], [9], [11], [10], [12], [11], [11], [12], [9], [5, 5], [11], [11], [12], [12], [10], [8, 8], [7, 7], [12], [8, 8]]
[[8, 8], [8, 8], [8, 8], [12], [11], [12], [6, 9], [11], [12], [11], [], [12], [10], [], [8], [10], [9], [7, 7], [10], [11], [10], [5, 6], [5, 11], [12], [8, 8]]
[[5, 8], [6, 8], [6, 8], [9], [7, 7], [8], [8], [10], [11], [11], [10], [11], [12], [8], [11], [11], [9], [5, 8], [12], [8], [10], [10], [12], [12], [12], [8]]
[[12], [12], [5, 8], [6, 8], [6, 8], [11], [5, 8], [9], [11], [10], [9], [8], [8], [], [10], [10], [8], [11], [11], [8], [12], [12], [7, 7], [12], [11], [10], [8]]
[[5, 8], [6, 8], [5, 8], [8], [8], [8], [8], [10], [], [9], [7, 7], [10], [12], [10], [6, 8], [9], [], [11], [11], [12], [11], [12], [11], [10], [12], [12], [11], [8]]
[[12], [8], [8], [5, 7], [8], [8], [8], [7], [9], [10], [8], [11], [8], [10], [12], [11], [12], [12], [8], [6, 6], [10], [10], [11], [11], [12], [], [11], [9], [5, 8]]
[[5, 8], [5, 8], [8], [10], [10], [8], [8], [8], [11], [9], [10], [12], [], [11], [], [7], [11], [10], [12], [8], [9], [11], [12], [11], [12], [6, 6], [8], [8], [12], [7]]
[[11], [5, 8], [8], [10], [6, 6], [8], [8], [8], [9], [], [8], [8], [10], [8], [11], [], [12], [12], [10], [12], [10], [], [12], [11], [7], [12], [9], [7], [11], [11], [5, 8]]
[[8], [8], [6, 6], [8], [8], [8], [8], [8], [9], [10], [12], [], [10], [], [10], [11], [12], [10], [], [11], [8], [7], [12], [5, 5], [11], [7], [9], [12], [11], [12], [11], [8]]
-EndAllocation

Instance: [[1], [280], 32]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,32. UB Alg: [186, 125, 93, 74, 62, 53, 46, 42, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [140, 94, 70, 56, 47, 40, 35, 32, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,32:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12]]
[[], [6, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 6, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 12, 12, 12, 12], [5, 12, 12, 12, 12]]
[[], [5, 12, 12, 12], [12, 12], [6, 12, 12, 12], [5, 5, 12, 12, 12], [5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [5, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 12], [6, 12, 12, 12], [12, 12, 12], [12]]
[[], [6, 12, 12], [], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 6], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [5, 5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [5, 12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [], [12, 12], [5, 5, 5, 5, 5], [12, 12], [6, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [6, 12], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5], [], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12], [5, 5, 5, 6], [12, 12], [], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [6, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [6, 12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [12], [6, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12]]
[[12], [12], [12], [5, 12], [12], [12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5], [5, 5, 5], [6, 12], [5, 12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [5, 5, 5], [6, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [6], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [6], [12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [6], [12], [5, 5, 5], [12], [12], [12], [], [12], [5, 5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5], [5, 5, 5], [12], [12], [12], [], [12], [5, 5, 5], [12], [6], [12], [5, 5, 5], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [6], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [5, 5], [12]]
[[12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [6], [12], [5, 5], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [12]]
[[], [12], [12], [12], [12], [5], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 6], [12], [5, 5], [5, 5], [12], [12], []]
[[], [12], [12], [], [12], [], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [12], [5, 6], [5, 5], [12], [12], [12], [5], [], [12], [12], [5, 5], [12], [5, 5], [12], [12]]
[[], [12], [12], [12], [12], [12], [12], [12], [], [], [5, 5], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [], [12], [12], [12], [5, 5], [5, 5], [6], [12]]
[[12], [], [5, 5], [5, 5], [], [], [], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [6], [12], [], [12], [12]]
[[12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [5, 5], [], [12], [12], [6], [], [], [5, 5], [5, 5], [12], [], [12], [12], [12], [12], [12], [12], [], [5, 5], [12], []]
-EndAllocation

Instance: [[1], [297], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [198, 132, 100, 80, 66, 57, 50, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [149, 99, 75, 60, 50, 43, 38, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 12, 12, 12, 12], [4, 8, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 8, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12], [9, 10, 11, 11, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 12, 12, 12, 12]]
[[], [11, 11, 12, 12, 12, 12], [8, 9, 10, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [8, 12, 12, 12, 12], [9, 11, 11, 12, 12]]
[[], [12, 12, 12, 12], [10, 12, 12, 12], [12, 12, 12, 12], [11, 11, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9], [8, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12], [8, 10, 11, 11], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12, 12], [9, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [8, 10, 12, 12], [12, 12, 12], [12, 12], [9, 11, 11, 12]]
[[], [], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [12, 12, 12], [4, 12, 12, 12], [12, 12, 12], [8, 9, 10, 12], [11, 11, 12]]
[[], [10, 12, 12], [9, 12, 12], [12, 12, 12], [11, 11, 12], [4, 4, 12, 12], [8, 12, 12], [12, 12], [12, 12, 12], [], [4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[12], [10, 12], [12, 12], [4, 4, 11, 11], [12, 12], [12, 12], [4, 9, 12], [12, 12], [8, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12]]
[[12], [12, 12], [12, 12], [11, 11], [12, 12], [12, 12], [8, 12], [4, 4, 4, 4, 4, 4, 4], [10, 12], [12, 12], [4, 12, 12], [12, 12], [4, 4, 4, 9]]
[[], [10, 12], [4, 4, 4, 4, 4, 4, 4], [9, 12], [12, 12], [12, 12], [12], [4, 4, 4, 4, 12], [11, 11], [12, 12], [12, 12], [8, 12], [12, 12], [12, 12]]
[[], [12, 12], [9, 12], [12, 12], [11, 11], [12, 12], [12, 12], [], [12, 12], [8, 12], [4, 4, 4, 4, 4, 4], [12, 12], [10, 12], [4, 4, 4, 4, 4], [12, 12]]
[[], [], [12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [9, 12], [8, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4], [10]]
[[], [12, 12], [9, 12], [12], [12, 12], [4, 4, 4, 4, 4, 4], [12, 12], [], [12, 12], [8, 12], [11, 11], [], [12, 12], [12, 12], [10], [4, 4, 4, 4, 4], [12, 12]]
[[12], [12], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [10, 12], [11, 11], [4, 4, 12], [9, 12], [12], [12], [12], [12], [4, 12], [8, 12], [12]]
[[12], [4, 4, 12], [12], [12], [12], [12], [12], [4, 12], [12], [4, 4, 12], [4, 4, 12], [11], [8, 12], [9, 12], [4, 4, 12], [10, 11], [12], [12], [4, 4, 12]]
[[12], [9, 11], [12], [12], [12], [4, 4, 12], [10], [12], [4, 4, 12], [12], [4, 4, 11], [12], [4, 4, 12], [12], [4, 12], [12], [4, 4, 12], [12], [12], [8, 12]]
[[12], [8, 12], [9, 11], [4, 4, 12], [12], [12], [10], [4, 4, 12], [12], [4, 4, 4, 4, 4], [12], [12], [12], [12], [12], [4, 4, 12], [12], [12], [12], [12], [11]]
[[12], [4, 12], [9], [12], [4, 12], [12], [4, 4, 4, 4], [4, 11], [12], [12], [12], [4, 12], [4, 12], [4, 11], [12], [4, 12], [12], [8, 10], [12], [12], [12], [12]]
[[12], [4, 11], [8, 9], [12], [12], [12], [4, 4, 4], [11], [12], [12], [4, 4, 4, 4], [12], [4, 12], [12], [12], [12], [4, 12], [12], [4, 12], [12], [10], [12], [12]]
[[12], [12], [12], [11], [12], [4, 4, 8], [12], [4, 11], [12], [12], [12], [4, 4, 4, 4], [], [4, 12], [12], [4, 10], [12], [4, 9], [12], [12], [4, 12], [12], [12], [12]]
[[12], [12], [12], [9], [12], [12], [4, 12], [12], [12], [10], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [4, 4, 8], [4, 4, 4, 4], [], [11], [12], [12], [12], [11]]
[[12], [12], [10], [12], [12], [12], [12], [12], [12], [12], [12], [12], [8], [12], [4, 4, 4, 4], [11], [11], [9], [12], [12], [4, 4, 4], [12], [12], [], [12], [4, 4, 4, 4]]
[[], [12], [12], [12], [11], [12], [12], [12], [8], [12], [12], [4, 4, 4], [12], [4, 4, 4], [12], [12], [11], [12], [12], [12], [9], [12], [12], [10], [4, 4], [12], [4, 4, 4]]
[[12], [12], [12], [12], [12], [12], [12], [4, 4, 4], [], [12], [11], [12], [12], [], [8], [12], [4, 4, 4], [4, 9], [12], [12], [4, 4, 4], [10], [12], [12], [4], [11], [12], [12]]
[[12], [8], [], [12], [12], [12], [11], [12], [12], [4], [12], [12], [12], [12], [12], [11], [], [10], [12], [12], [], [4, 4, 4], [4, 4, 4], [12], [12], [4, 9], [4, 4, 4], [12], [12]]
[[12], [], [], [12], [11], [4, 4, 4], [12], [10], [8], [], [12], [12], [12], [12], [12], [9], [12], [12], [12], [4, 4, 4], [4, 4], [11], [4, 4, 4], [12], [12], [12], [], [12], [12], [12]]
[[12], [12], [12], [12], [4, 9], [12], [12], [12], [12], [12], [4, 4, 4], [12], [], [], [], [], [12], [4, 4, 4], [12], [12], [12], [12], [11], [12], [10], [4, 4, 4], [11], [4, 8], [12], [], []]
[[11], [9], [12], [12], [], [12], [], [12], [10], [12], [4, 4, 4], [12], [12], [4, 4, 4], [8], [], [], [], [], [12], [11], [12], [12], [12], [12], [12], [12], [4, 4, 4], [12], [4, 4], [12], [12]]
[[12], [11], [4, 4], [12], [12], [8], [12], [12], [12], [4, 4, 4], [12], [12], [], [12], [], [12], [12], [12], [10], [12], [], [11], [12], [], [9], [12], [], [12], [4, 4, 4], [12], [], [], [4, 4, 4]]
-EndAllocation

Instance: [[1], [296], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 2, 2, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [197, 132, 98, 80, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [148, 99, 74, 60, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[1, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 11], [7, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[1, 2, 2, 2, 6, 10, 10, 10, 10, 12, 12, 12], [11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12], [7, 7, 8, 8, 8, 8, 8, 8, 9, 9]]
[[2, 2, 2, 7, 7, 8, 8, 8, 8, 8, 8], [1, 10, 12, 12, 12, 12], [10, 10, 10, 12, 12, 12, 12, 12], [6, 9, 9, 11, 11, 11, 11, 11]]
[[1, 2, 2, 2, 9, 9, 12, 12, 12], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [6, 12, 12, 12, 12, 12, 12], [7, 7, 11, 11, 11, 11, 11]]
[[1, 2, 2, 2, 6, 11, 12, 12, 12], [11, 11, 11, 11, 12], [12, 12], [9, 9, 10, 10, 10, 10], [7, 7, 12, 12, 12], [8, 8, 8, 8, 8, 8]]
[[1, 2, 2, 2, 9, 12, 12, 12], [8, 8, 8, 8, 8, 8], [7, 7, 12, 12, 12], [11, 11, 11, 11, 11], [10, 10, 10, 10], [], [6, 9, 12, 12, 12]]
[[1, 8, 8, 8, 8, 8, 8], [11, 11, 11, 12], [11, 11, 12], [7, 7], [12, 12, 12, 12], [9, 9], [10, 12, 12, 12], [2, 2, 2, 6, 10, 10, 10]]
[[1, 2, 2, 2, 8, 12], [11, 11, 11, 11], [10, 10, 10, 10], [12, 12], [11, 12, 12], [7, 7, 12, 12], [12, 12], [8, 8, 8, 8, 8], [6, 9, 9]]
[[1, 2, 2, 2, 8, 10, 10], [8, 8, 8, 8, 8], [10, 10, 12], [9, 9, 12], [12, 12, 12], [7, 7], [12, 12, 12], [11, 11, 11], [], [6, 11, 11, 12]]
[[1, 10, 12, 12], [10, 12, 12], [2, 2, 10, 10, 12], [8, 8, 8, 9], [6], [8, 8, 8], [], [7, 7, 12], [11, 11, 12], [9, 12, 12], [2, 11, 11, 11]]
[[1, 2, 2, 2, 6, 12], [8, 8, 11], [7, 7, 12], [10, 10, 12], [8, 12, 12], [8, 11], [11], [11], [9, 11], [8, 10, 10], [9, 12, 12], [8, 12, 12]]
[[1, 2, 2, 8, 8, 8], [2, 10, 11], [12, 12], [12, 12], [11, 12], [8, 8, 8], [11], [9, 9], [12, 12], [7, 7, 10], [10, 11], [10, 11], [6, 12, 12]]
[[1, 2, 2, 2, 8, 8], [6, 11, 12], [10, 10], [12, 12], [12, 12], [11, 11], [7, 7], [8, 8], [9, 9], [12, 12], [12, 12], [10, 10], [11, 11], [8, 8]]
[[1, 2, 2, 2], [6], [12, 12], [12, 12], [12, 12], [8, 8, 8], [10, 10], [11, 12], [10, 10], [11, 11], [11, 11], [12, 12], [9, 9], [8, 8, 8], [7, 7]]
[[1, 2, 2, 2, 7, 10], [8, 8, 8], [12, 12], [6, 10], [11], [11, 11], [12, 12], [], [11, 11], [9, 9], [], [12, 12], [7, 12], [10, 12], [10, 12], [8, 8, 8]]
[[1, 2, 2, 2, 6, 10], [11, 12], [7, 7], [9, 9], [11, 11], [12], [11, 11], [12, 12], [8, 8, 8], [], [], [], [10, 10], [10, 12], [12, 12], [12, 12], [8, 8, 8]]
[[6, 8, 8], [1, 2, 2, 2, 11], [12], [10, 12], [12], [9, 12], [12], [12], [], [8, 8], [7, 7], [11, 11], [12], [9, 10], [10, 12], [11, 11], [10, 12], [8, 8]]
[[1, 7, 12], [2, 2, 2, 8], [7, 11], [8, 12], [12], [8, 11], [8, 12], [10, 10], [11], [9, 9], [12], [12], [11], [12], [10, 10], [11], [12], [8, 8], [6, 12]]
[[1, 2, 2, 2, 12], [12], [8, 11], [12], [10, 10], [10, 10], [8, 12], [8, 11], [7, 11], [8, 12], [8], [], [7, 11], [12], [], [12], [12], [8, 11], [9, 9], [6, 12]]
[[1, 2, 8, 8], [8, 12], [2, 8, 8], [9, 11], [2, 7, 11], [10], [12], [7, 12], [9, 10], [10, 10], [11], [12], [12], [], [11], [], [12], [11], [12], [6, 12], [8, 12]]
[[1, 2, 2, 2, 11], [8, 9], [8, 8], [12], [7, 10], [6, 12], [12], [7, 10], [12], [12], [12], [11], [12], [12], [11], [8, 10], [9], [12], [11], [8, 10], [8], [11]]
[[1, 12], [12], [11], [8, 9], [2, 12], [2, 12], [2, 11], [7, 10], [8], [12], [12], [12], [12], [12], [11], [10], [8, 8], [7, 10], [11], [8, 8], [9], [6, 11], [10]]
[[1, 8, 8], [2, 2, 12], [8, 8], [8, 9], [2, 12], [11], [11], [8, 9], [11], [11], [12], [7, 10], [12], [12], [12], [12], [], [10], [7, 10], [10], [12], [11], [12], [6]]
[[1, 2, 2, 11], [8, 8], [2, 12], [12], [9], [12], [11], [8, 8], [11], [12], [12], [12], [6, 10], [11], [12], [9], [12], [], [11], [10], [10], [10], [7, 7], [12], [8, 8]]
[[1, 2, 12], [8, 8], [2, 9], [12], [6, 9], [12], [], [8, 8], [], [11], [10], [11], [12], [12], [10], [11], [12], [10], [12], [12], [8, 8], [11], [7, 7], [2, 11], [10], [12]]
[[1, 10], [12], [10], [8], [11], [12], [11], [6, 8], [2, 2, 2, 8], [12], [9], [11], [7, 7], [10], [8], [12], [12], [10], [12], [8], [8], [12], [11], [9], [11], [12], [12]]
[[1, 2, 2, 9], [2, 8], [12], [6, 8], [10], [12], [12], [12], [8], [8], [12], [10], [10], [11], [11], [7, 7], [12], [11], [11], [11], [12], [12], [8], [8], [10], [], [12], [9]]
[[1, 2, 10], [2, 12], [9], [6], [12], [12], [8], [11], [8], [12], [12], [11], [10], [12], [10], [12], [11], [12], [7, 7], [8], [8], [2, 8], [11], [8], [], [12], [11], [9], [10]]
[[10], [2, 8], [1, 10], [7], [9], [8], [8], [12], [12], [9], [12], [12], [12], [8], [11], [12], [11], [11], [12], [10], [], [2, 2, 8], [11], [12], [12], [6, 7], [11], [8], [], [10]]
[[1, 8], [6, 7], [12], [2, 8], [2], [2, 8], [8], [12], [8], [12], [10], [10], [10], [], [12], [10], [11], [12], [11], [11], [9], [11], [8], [9], [7], [11], [12], [12], [], [12], [12]]
[[1, 8], [11], [9], [], [11], [12], [12], [8], [12], [11], [12], [12], [10], [12], [10], [12], [10], [10], [11], [9], [8], [8], [12], [8], [], [8], [12], [11], [6, 7], [], [], [2, 2, 2, 7]]
[[1, 8], [11], [12], [11], [8], [11], [8], [11], [8], [12], [10], [12], [8], [12], [12], [12], [2, 2, 2], [10], [12], [12], [7], [], [10], [6], [], [10], [8], [], [12], [9], [7], [9], [11]]
-EndAllocation

Instance: [[1], [295], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [197, 132, 98, 78, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [148, 99, 74, 59, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12], [3, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11]]
[[3, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10], [10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12], [4, 9, 9, 9, 9]]
[[3, 4, 12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 10, 10, 10, 10], [6, 6, 6, 9, 9, 9, 9, 11, 11, 11, 11]]
[[3, 4, 6, 9, 9, 9, 9, 10, 11], [6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 10, 10, 10, 12, 12, 12], [11, 11, 11, 12, 12, 12]]
[[4, 6, 6, 12, 12, 12, 12], [6, 6, 10, 11, 11, 11, 11], [], [9, 9, 9, 9, 10, 10, 10], [3, 8, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 6, 6, 6, 11, 11, 11], [3, 6, 8, 8, 8, 8, 8, 8], [10, 11], [9, 9, 9, 9], [12, 12, 12, 12], [12, 12], [8, 8, 8, 10, 10, 10]]
[[4, 6, 6, 6, 8, 8, 8], [11, 11, 11, 11], [6, 8, 8, 9, 9, 9], [3, 9], [12, 12, 12, 12], [10], [8, 8, 12, 12], [8, 8, 10, 10, 10]]
[[4, 10, 12, 12], [8, 8, 8, 8, 8], [11, 11, 11, 11], [10, 10, 10, 12], [3], [9, 9, 9, 9], [12, 12, 12], [8, 8, 8, 8], [6, 6, 6, 6]]
[[3, 4, 6, 6, 6, 6, 9], [8, 8, 9, 9], [8, 10, 10, 10], [8, 8, 8, 9], [11], [12, 12, 12], [11, 11, 11], [], [12, 12, 12], [8, 8, 8, 10]]
[[3, 11, 11, 11], [9, 9, 9, 9], [4, 6, 6, 6, 6], [8, 8, 8, 8], [8, 10], [8, 8, 8, 8], [], [10, 10, 10], [12, 12, 12], [12, 12, 12], [11]]
[[8, 8, 8, 8], [3, 10, 10, 10], [4], [6, 6, 6, 6], [12, 12], [], [9, 10, 11], [8, 8, 8, 8], [12, 12], [9, 9, 9], [8, 12, 12], [11, 11, 11]]
[[3, 4, 6, 8, 8], [6, 8, 10], [6, 9, 12], [6, 12, 12], [8, 11, 11], [8, 8], [8, 8, 10], [9, 9, 9], [12, 12], [8, 10], [10, 12], [11, 11], []]
[[4, 8, 8, 8], [3, 8, 8, 8], [6, 6, 6, 10], [10], [11, 11], [12, 12], [12, 12], [9, 9, 9], [9, 10], [11, 11], [10], [6], [12, 12], [8, 8, 8]]
[[8, 8, 8], [3, 4, 9, 9], [6, 8, 10], [6, 8, 11], [6, 6, 12], [12], [10, 12], [8, 12], [10, 10], [11, 11], [11, 12], [9, 9], [12], [8, 8, 8], []]
[[8, 8, 8], [8, 8, 8], [3, 11, 11], [4, 9, 9], [6, 6, 6, 6], [11, 11], [12, 12], [12, 12], [10, 10], [12, 12], [9, 9], [], [], [10, 10], [], [8, 8, 8]]
[[8, 8, 8], [11, 11], [4, 9, 9], [3, 10, 10], [10, 10], [], [11, 11], [12, 12], [8, 8, 8], [], [9, 9], [], [], [12, 12], [12, 12], [6, 6, 6, 6], [8, 8, 8]]
[[6, 8, 8], [3, 8], [8], [8, 10], [12], [6, 9], [6, 6, 9], [8, 12], [8, 12], [10, 10], [8], [11, 11], [12], [9, 9], [10, 12], [11, 11], [4, 12], [8]]
[[4, 8, 8], [3, 9, 9], [8, 8], [6, 12], [8, 12], [9, 11], [6, 9], [12], [10, 10], [], [12], [8, 12], [11], [11], [6, 6], [10, 10], [11], [8, 12], [8, 8]]
[[3, 8, 8], [4, 8, 8], [8], [8, 11], [10, 10], [6, 12], [6, 9], [12], [12], [11], [11], [10, 10], [9], [8, 8], [12], [6, 9], [8, 12], [12], [6, 9], [11]]
[[4], [8, 8], [6, 8], [8, 11], [9, 9], [8, 12], [3, 9], [], [6, 12], [12], [6], [12], [6, 12], [8, 8], [10, 10], [11], [11], [10, 10], [12], [9, 11], [8, 8]]
[[8], [8], [4, 12], [3, 6, 6], [8, 9], [6, 12], [8, 10], [11], [12], [12], [8, 10], [12], [8, 9], [8], [9, 9], [8, 10], [10], [6, 11], [12], [8], [11], [11]]
[[6, 10], [6, 11], [8], [10], [8, 9], [8], [8, 9], [12], [12], [11], [12], [11], [4, 8], [11], [8, 9], [12], [10], [12], [12], [8], [8, 9], [3, 6, 8], [6, 10]]
[[8, 8], [8, 8], [8, 8], [8, 8], [8, 9], [12], [3, 11], [12], [10], [9], [10], [10], [12], [6, 6], [9], [9], [12], [11], [12], [6], [11], [12], [4, 11], [6, 10]]
[[3, 11], [12], [8, 8], [8, 8], [11], [6, 8], [12], [6, 8], [], [6, 10], [11], [12], [10], [8], [9], [12], [12], [10], [6, 10], [9], [8, 8], [9], [9], [12], [4, 11]]
[[], [4, 6, 6], [6, 10], [12], [11], [6, 9], [8], [3, 10], [12], [11], [9], [11], [12], [12], [9], [8, 8], [12], [9], [10], [12], [8, 8], [10], [11], [8, 8], [], [8, 8]]
[[4, 8], [9], [10], [10], [9], [12], [8], [11], [6, 8], [12], [11], [6, 8], [8], [8], [9], [12], [10], [11], [3, 10], [6, 8], [12], [8], [12], [12], [11], [9], [6, 8]]
[[6, 8], [6, 8], [11], [12], [6, 8], [8], [8], [9], [10], [10], [9], [8], [12], [10], [10], [12], [12], [8], [11], [12], [9], [3, 8], [12], [], [11], [11], [6, 8], [4, 9]]
[[3, 4], [6, 8], [6, 8], [10], [10], [11], [6, 8], [11], [6, 8], [9], [10], [8], [12], [8], [9], [12], [10], [12], [], [9], [8], [12], [8], [8], [12], [12], [11], [9], [11]]
[[3, 10], [6, 6], [6, 6], [9], [8], [8], [8], [9], [8], [8], [10], [12], [8], [10], [12], [8], [8], [8], [11], [11], [], [12], [12], [11], [12], [12], [10], [4, 9], [11], [9]]
[[3, 10], [4, 9], [10], [12], [6], [6], [8], [12], [10], [12], [10], [8], [8], [9], [8], [12], [11], [11], [9], [11], [8], [12], [8], [8], [], [8], [9], [12], [8], [11], [6, 6]]
[[9], [4, 9], [8], [8], [9], [8], [6, 6], [12], [8], [], [8], [10], [10], [10], [6, 6], [11], [12], [9], [10], [11], [8], [], [12], [12], [11], [], [8], [12], [8], [12], [11], [3, 8]]
[[], [12], [3, 8], [8], [10], [8], [8], [8], [9], [8], [10], [11], [6], [6], [8], [8], [11], [12], [12], [12], [9], [11], [6], [6], [10], [12], [9], [12], [11], [], [10], [9], [4, 8]]
-EndAllocation

Instance: [[1], [294], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [8, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [8, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 8, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12], [12, 12], [5, 12, 12, 12, 12], [8, 12, 12, 12, 12], [5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 12, 12], [12], [12, 12, 12, 12], [8, 12, 12, 12]]
[[], [8, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [8, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[], [8, 12, 12], [12, 12, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12, 12], [12, 12], [8, 12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [5, 12, 12], [8, 12], [5, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12], [12, 12]]
[[], [8, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12]]
[[], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [8, 12], [12, 12], [5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [8, 12], [], [5, 5, 5, 5], [12, 12], [12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5], [], [8], [12, 12], [12, 12], [5, 5], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 5, 12], [5, 5, 12], [8, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [5, 12], [8, 12], [5, 12]]
[[12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [8, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12]]
[[12], [5, 12], [5, 12], [8], [12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 5, 8], [12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [12], [8], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [8], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5], [12], [8]]
[[12], [5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [12], [12], [12], [12], [12], [12], [12], [5, 8], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [5, 5], [8], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12]]
[[], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [12], [5, 5], [8], [12], [12], [12], [12], [12]]
[[12], [5, 5], [5, 8], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [5], [], [12], [12], [12], [5, 5]]
[[], [5, 5], [8], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [], [12], [12], [12], [12], [12]]
[[12], [5, 5], [], [12], [12], [12], [8], [12], [12], [], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [], [12], [12], [12], [5, 5], [12], [12], [5, 5]]
[[12], [], [5, 5], [8], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [12], [], [12], [12], [12], [12], [], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [], [5, 5], [12]]
[[12], [], [12], [5, 5], [], [12], [5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5], [], [5, 5], [], [12], [5, 5], [], [12], [12], [12], [12], [5, 5], [8], [12], [], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [293], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12], [8, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [8, 11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 8, 11, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12], [11, 12], [5, 12, 12, 12, 12], [8, 12, 12, 12, 12], [5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 11, 12], [12], [12, 12, 12, 12], [8, 12, 12, 12]]
[[], [8, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [12, 12, 12], [11, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [8, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 12, 12]]
[[], [8, 12, 12], [12, 12, 12], [], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [11, 12], [12, 12], [12, 12], [12, 12], [5, 12, 12], [12, 12], [8, 12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [5, 11, 12], [8, 12], [5, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12], [12, 12]]
[[], [8, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 11], [12, 12], [12, 12], [5, 12], [12]]
[[], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [8, 11], [12, 12], [5, 5, 5, 5]]
[[], [12, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [8, 12], [], [5, 5, 5, 5], [12, 12], [12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5], [], [8], [12, 12], [12, 12], [5, 5], [12, 12], [], [12, 12], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [5, 5, 12], [5, 5, 12], [8, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 11], [12], [12], [12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [5, 5, 11], [12], [5, 12], [12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [5, 12], [8, 12], [5, 12]]
[[12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [8, 11], [5, 5, 5, 5], [5, 12], [12], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12]]
[[12], [5, 12], [5, 12], [8], [12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 12], [5, 12], [5, 11]]
[[12], [12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 5, 8], [12], [5, 5, 5], [12], [11]]
[[12], [12], [11], [5, 12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [12], [8], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12]]
[[12], [5, 11], [5, 12], [12], [5, 5, 5], [8], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [12], [12], [11], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5], [12], [8]]
[[12], [5], [11], [12], [5, 5, 5], [5, 5, 5], [12], [], [12], [12], [12], [12], [12], [12], [12], [5, 8], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [], [5, 5], [8], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [11], [12], [12], [12]]
[[], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [11], [], [12], [5, 5], [5, 5], [12], [5, 5], [8], [12], [12], [12], [12], [12]]
[[12], [5, 5], [5, 8], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [11], [12], [12], [12], [], [12], [12], [12], [5, 5], [5], [], [12], [12], [12], [5, 5]]
[[], [5, 5], [8], [12], [12], [], [11], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [], [12], [12], [12], [12], [12]]
[[12], [5, 5], [], [11], [12], [12], [8], [12], [12], [], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [], [12], [12], [12], [5, 5], [12], [12], [5, 5]]
[[12], [], [5, 5], [8], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [12], [], [12], [12], [12], [12], [], [12], [5, 5], [12], [5, 5], [], [5, 5], [12], [12], [], [12], [11], [5, 5], [12]]
[[12], [], [12], [5, 5], [], [12], [5, 5], [], [12], [12], [12], [11], [12], [12], [12], [5, 5], [], [5, 5], [], [12], [5, 5], [], [12], [12], [12], [12], [5, 5], [8], [12], [], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [292], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [194, 130, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [146, 98, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 10], [6, 6, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 6, 6, 6], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 11, 11, 12, 12, 12]]
[[6, 6], [12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8], [10, 11, 11, 12, 12, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 8, 10, 12], [6, 12, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 10, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 11, 11], [12, 12, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 8], [12, 12, 12, 12], [10, 12, 12, 12], [11, 11, 12, 12]]
[[], [10], [12, 12, 12, 12], [11, 11, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [8, 12, 12, 12]]
[[], [10, 11, 11, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [6, 6, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12], [12, 12, 12], [8, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12, 12], [6, 6, 6, 6, 6, 8], [12, 12, 12], [10, 11, 11], [12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [8, 12, 12], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 11], [6, 6, 6, 6, 10], [], [12, 12]]
[[12], [12, 12], [10, 12], [6, 6, 6, 6, 6], [12, 12], [6, 6, 6, 6, 8], [12, 12], [6, 6, 6, 6, 6], [12, 12], [11, 11], [12, 12], [6, 6, 12]]
[[], [12], [12, 12], [6, 6, 6, 6, 6], [12, 12], [6, 11, 11], [6, 6, 6, 10], [12, 12], [12, 12], [6, 6, 6, 6, 6], [8, 12], [12, 12], [6, 6, 12]]
[[], [6, 10, 12], [12, 12], [12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 11, 11], [6, 6, 6, 6], [12, 12], [6, 6], [12, 12], [12, 12], [12, 12], [8, 12]]
[[], [12], [12, 12], [11, 11], [6, 6, 6, 6], [12, 12], [6, 6, 6, 6], [12, 12], [12, 12], [], [6, 6, 10], [12, 12], [6, 6, 6], [12, 12], [6, 6, 6, 8]]
[[], [11, 11], [], [6, 6, 10], [12, 12], [6, 6, 6, 6], [12, 12], [], [6, 6], [12, 12], [12, 12], [6, 6, 6, 6], [8, 12], [12, 12], [6, 6, 6, 6], [12, 12]]
[[], [6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [6, 6, 6, 6], [], [12, 12], [6, 6, 6, 6], [11, 11], [8, 12], [], [10], [], [12, 12], [6, 6, 6, 6], [12, 12]]
[[12], [12], [6, 12], [12], [12], [8, 12], [12], [6, 6, 6], [6, 6, 6], [6, 12], [6, 6, 6], [10, 12], [6, 12], [6, 6, 6], [12], [11, 11], [12], [6, 12]]
[[12], [6, 12], [6, 12], [6, 12], [8, 10], [12], [6, 11], [12], [6, 6, 6], [6, 12], [12], [12], [12], [6, 6, 6], [11], [6, 6, 6], [6, 12], [12], [6, 12]]
[[12], [12], [12], [6, 11], [6, 10], [12], [12], [12], [12], [8, 12], [12], [11], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 12], [12], [6, 6, 6], [12], [6, 12]]
[[12], [12], [6, 6, 6], [12], [11], [6, 12], [10], [12], [12], [12], [6, 6, 6], [6, 6, 6], [6, 8], [12], [11], [6, 6, 6], [12], [6, 12], [12], [12], [6, 12]]
[[12], [11], [12], [6, 6, 6], [6, 6, 6], [12], [10], [11], [12], [12], [12], [12], [12], [12], [6, 12], [12], [12], [12], [6, 6, 6], [6, 6, 6], [8], [6, 6, 6]]
[[12], [12], [6, 6], [12], [12], [6, 6], [12], [6, 11], [6, 6], [6, 6], [12], [12], [6, 11], [12], [12], [12], [12], [12], [12], [6, 6], [6, 8], [6, 10], [6, 6]]
[[11], [8], [6, 6], [12], [12], [6, 11], [12], [12], [6, 6], [12], [12], [6, 6], [12], [6, 6], [6, 6], [12], [12], [6, 6], [12], [12], [6, 6], [12], [6, 10], [12]]
[[12], [8], [12], [11], [10], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6], [6, 6], [12], [12], [12], [12], [12], [6, 6], [6, 6], [12], [11], [12]]
[[12], [6, 6], [], [11], [12], [6, 6], [12], [12], [6, 6], [11], [12], [6, 6], [12], [6, 8], [12], [12], [6, 10], [12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [12], []]
[[12], [12], [12], [6, 6], [], [11], [6, 6], [12], [12], [12], [6, 8], [12], [12], [6, 6], [10], [12], [6, 6], [11], [], [12], [6, 6], [6], [12], [12], [6, 6], [12], [6, 6]]
[[12], [12], [6, 6], [12], [12], [8], [11], [], [12], [12], [12], [6, 6], [6, 6], [12], [6, 6], [12], [10], [], [6, 6], [12], [6, 6], [11], [6, 6], [12], [12], [6, 6], [12], []]
[[12], [6, 6], [6, 6], [], [11], [12], [6, 6], [12], [10], [], [12], [12], [], [6, 6], [6, 6], [6, 6], [11], [], [12], [12], [12], [6, 6], [12], [12], [6, 6], [12], [8], [12], [12]]
[[], [12], [12], [6, 6], [12], [11], [], [6, 6], [6, 6], [12], [6, 6], [12], [], [12], [12], [6, 6], [12], [10], [12], [12], [6, 6], [12], [6, 6], [6, 6], [11], [], [12], [12], [8], []]
[[12], [], [6, 6], [12], [6, 6], [11], [6, 6], [12], [12], [], [12], [6, 6], [6, 6], [11], [12], [12], [12], [12], [12], [12], [], [8], [6, 6], [], [12], [6, 6], [10], [12], [], [], [6, 6]]
[[], [12], [11], [6, 6], [6, 6], [12], [6, 6], [], [12], [], [12], [], [12], [10], [6, 6], [], [12], [12], [11], [12], [6, 6], [], [12], [12], [12], [6, 6], [6, 6], [12], [6, 6], [8], [12], []]
[[], [], [12], [6, 6], [12], [12], [12], [6, 6], [8], [11], [], [6, 6], [12], [6, 6], [6, 6], [11], [], [12], [], [10], [], [], [6, 6], [6, 6], [], [12], [6, 6], [12], [12], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [291], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [194, 129, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [146, 97, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 6, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12], [11, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [5, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [6, 11, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12], [6, 11, 12, 12], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [6], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [6, 12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12]]
[[], [6, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [6], [12, 12, 12], [11], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12]]
[[12], [5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12], [12, 12], [12, 12], [5, 5, 12], [11, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [6, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [6, 12], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 11], [6], [5, 5, 5, 5, 5], [5, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [11], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [], [], [12, 12], [12, 12], [6, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [], [5, 5, 5, 5], [12, 12], [12, 12], [], [5, 5], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [6, 12], [5, 5, 5, 5]]
[[12], [5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 6, 11], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12]]
[[12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 5, 11], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 6], [5, 12], [12], [12], [5, 12], [12]]
[[12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [12], [11], [5, 12], [12], [6, 12], [12], [12], [12], [12], [5, 12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [12], [6, 12], [12], [5, 11], [12], [12], [5, 5, 5], [12], [12], [5, 12], [5, 12], [12]]
[[12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 12], [5, 12], [11], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [6, 12], [12], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [5, 11], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [6]]
[[12], [], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5, 6], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [5, 11], [12], [12], [12], [12], [12], [12], [12], [12], [6], [12], [12], [12], [12], [5, 5, 5], [12], [5], [5, 5, 5], [12], [5, 5, 5], [12], []]
[[12], [5, 5], [12], [], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [11], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [6], [12], [12], [12], [12], [12], []]
[[12], [12], [5, 5], [12], [12], [11], [5, 5], [5, 5], [12], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [5, 5], [12], [12], [6], [12], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [12], [5, 5], [12], [11], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [5], [], [12], [12], [12], [5, 5], [5, 6], [12], [12], [5, 5], [12], []]
[[12], [], [5, 6], [5, 5], [12], [12], [12], [5, 5], [5], [], [5, 5], [12], [12], [12], [5, 5], [12], [11], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [5, 5], [], [12], [12], [5, 5], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [6], [5, 5], [5, 5], [12], [12], [5, 5], [12], [12], [12], [11], [12], [12], [12], [], []]
[[12], [], [12], [5, 5], [6], [5, 5], [], [12], [12], [5, 5], [12], [5, 5], [], [11], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [], [12], [12], [5, 5], [12], [], [12], [12]]
[[], [12], [12], [6], [12], [5, 5], [12], [], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [11], [5, 5], [12], [], [12], [12], [5, 5], [12], [], [5, 5], [12], [], [12], []]
[[], [12], [5, 5], [], [12], [12], [12], [5, 6], [12], [], [], [], [5, 5], [], [5], [11], [5, 5], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12]]
-EndAllocation

Instance: [[1], [290], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12], [5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 12, 12], [12, 12, 12]]
[[], [12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11, 12, 12]]
[[], [5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 12, 12], [12, 12, 12], []]
[[12], [12, 12], [5, 5, 5, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [11, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [11, 12]]
[[], [], [], [12, 12], [12, 12], [5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 11], [12, 12], [12, 12], [12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [], [], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 12], [12, 12], [12, 12], [], [5, 5, 11]]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 12], [12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 11]]
[[12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 5, 11], [12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [5, 11], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5, 5], [5, 12], [12], [12]]
[[12], [12], [5, 12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [12], [5, 11], [5, 12], [12], [12], [5, 5, 5], [5, 12], [12], [5, 12], [12], [12]]
[[12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 11], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [12]]
[[12], [12], [12], [5, 5], [5, 12], [], [12], [12], [12], [11], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12]]
[[12], [5, 5, 5], [12], [12], [12], [12], [11], [5, 5, 5], [5, 5, 5], [12], [12], [], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [11], [12], [12], [12], [], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [11], [5, 5], [5, 5], [5, 5], [12], [5, 5], [5, 5]]
[[12], [5, 5], [12], [5, 5], [5, 5], [11], [5, 5], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5], [12], [5, 5], [], [12], [], [12], [12], [12], [12]]
[[12], [12], [5, 5], [5, 5], [5, 5], [12], [5, 5], [12], [5, 5], [], [], [5, 5], [5], [], [12], [12], [11], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [], [5, 5], [], [12], [], [12], [12], [12], [12], [5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [5, 5], [12], [12], [12], [5, 5], [], [12], [5, 5]]
[[12], [12], [12], [12], [5, 5], [12], [], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5], [], [12], [], [5, 5], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [11]]
[[12], [], [5, 5], [5, 5], [12], [12], [12], [12], [], [5, 5], [], [12], [12], [11], [12], [], [12], [5, 5], [5, 5], [5, 5], [], [12], [12], [12], [5, 5], [], [12], [5], [12], [12], [12], [12]]
[[12], [12], [5, 5], [12], [12], [], [5, 5], [12], [5], [], [12], [12], [11], [12], [12], [], [12], [5, 5], [], [12], [], [5, 5], [5, 5], [], [12], [12], [12], [12], [5, 5], [], [5, 5], [12], [12]]
-EndAllocation

Instance: [[1], [289], 33]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,33. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,33:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 12, 12, 12, 12], [4, 5, 5, 6, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12]]
[[7, 7, 7, 12, 12, 12, 12, 12, 12], [5, 5, 9, 9, 9, 9, 10, 10, 10, 10], [4, 6, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11]]
[[7, 8, 8, 8, 10, 10, 10, 10], [7, 7, 11, 11, 11, 12, 12, 12, 12], [8, 8, 8, 8, 9, 9, 9, 9, 12, 12], [4, 5, 5, 6, 11]]
[[5, 5, 10, 10, 10, 10], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 12, 12, 12], [12, 12, 12], [4, 6, 11, 11, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8], [10, 12, 12, 12, 12], [12], [9, 9, 9, 9, 11, 11], [7, 7, 7, 11, 11], [4, 5, 5, 6, 10, 10, 10, 12]]
[[7, 9, 9, 9, 9, 11], [10, 10, 10, 10], [12, 12, 12], [8, 8, 8, 8, 8, 8, 8], [7, 7, 12, 12, 12], [], [4, 5, 5, 6, 11, 11, 11]]
[[9, 9, 9, 9, 12], [7, 7, 11, 11, 11], [7, 10, 10, 10, 10], [], [8], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12], [4, 5, 5, 6, 11, 12]]
[[12, 12, 12], [6, 8, 8, 12], [7, 7, 7], [10, 10, 10, 10], [5, 5, 12, 12], [8, 8, 8, 8, 8], [11, 11, 11, 11], [], [4, 9, 9, 9, 9]]
[[8, 8, 8, 11], [12, 12, 12], [8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12], [7, 7, 7], [10, 10, 10], [11, 11, 11], [10], [4, 5, 5, 6]]
[[12, 12, 12], [7, 9, 9, 9], [7, 9, 12], [10], [8, 8, 8], [8, 8, 8, 8], [], [10, 10, 10], [11, 11, 11], [7, 12, 12], [4, 5, 5, 6, 11]]
[[10, 10, 10], [6, 8, 10], [8, 8, 11], [12, 12], [8, 8, 12], [], [12, 12], [11, 11, 11], [9, 9, 9], [9, 12], [7, 7, 7], [4, 5, 5, 8, 8]]
[[4, 8, 8, 9], [5, 8, 8, 8], [9, 9, 11], [12, 12], [7, 7, 7], [12, 12], [9, 11], [12, 12], [10, 10, 10], [], [10], [11, 11], [5, 6, 8, 8]]
[[4, 8], [7, 8, 9], [8, 10, 10], [8, 11], [8, 10, 10], [11, 11], [7, 7, 11], [8], [9, 9, 9], [12, 12], [], [12, 12], [12, 12], [5, 5, 6, 8]]
[[8, 12], [4, 10], [10, 12], [10, 12], [8, 8, 10], [9, 9], [8, 11], [11, 12], [9, 9], [11, 11], [12], [6, 12], [8, 8, 8], [5, 5, 7, 7], [7]]
[[4, 5, 5, 9], [8, 12], [7, 7, 8], [12, 12], [10, 10], [8, 12], [11, 11], [9, 9], [11, 11], [8, 9], [8], [8], [7, 8], [10, 10], [12, 12], [6]]
[[9, 12], [4, 8, 8], [8], [6, 12], [12], [12], [10, 10], [11, 11], [7, 7, 7], [12], [8, 8], [9, 9], [8, 8], [11, 11], [10, 10], [12], [5, 5, 9]]
[[7, 7, 7], [4, 5, 6], [8], [11], [8, 8], [10, 10], [9, 12], [12], [9, 9], [12], [12], [12], [12], [8, 8], [11, 11], [10, 10], [9, 11], [5, 8, 8]]
[[4, 8, 8], [5, 8, 8], [9, 12], [8, 11], [10, 10], [11], [8, 11], [11], [], [9, 9], [], [12], [12], [12], [9, 12], [10, 10], [6, 12], [7, 7, 7], [5, 8]]
[[4, 10], [8, 11], [8, 8], [8, 8], [5, 5, 10], [10, 10], [9, 9], [11], [12], [11], [12], [], [7, 7], [7, 12], [12], [9, 9], [11], [12], [6, 12], [8, 8]]
[[12], [11], [8], [4, 5, 8], [8, 9], [7, 10], [5, 11], [7, 10], [10], [8, 8], [7, 10], [12], [12], [11], [9, 9], [12], [11], [12], [12], [6, 9], [8, 8]]
[[8, 8], [8, 8], [4, 11], [12], [5, 12], [5, 11], [12], [10], [11], [12], [10], [7, 11], [10], [12], [9, 9], [12], [], [7, 7], [6, 10], [9, 9], [8, 8], [8]]
[[4, 10], [7, 7], [8, 8], [5, 12], [11], [5, 12], [10], [12], [9], [11], [11], [12], [8, 9], [9], [10], [11], [8, 8], [12], [10], [12], [6, 9], [7], [8, 8]]
[[4, 10], [9], [8, 8], [8, 8], [12], [5, 12], [12], [11], [6, 11], [9], [11], [9], [12], [8, 8], [12], [11], [9], [10], [7, 7], [10], [7, 10], [], [12], [5, 8]]
[[6, 8], [5, 9], [10], [8], [5, 11], [7, 9], [9], [10], [11], [12], [7, 8], [11], [8], [12], [12], [12], [10], [8], [9], [12], [12], [10], [7, 8], [4, 8], [11]]
[[7, 8], [8, 8], [6, 10], [12], [11], [9], [12], [], [11], [7, 7], [11], [12], [12], [], [11], [12], [12], [9], [10], [10], [8, 8], [], [5, 9], [4, 10], [5, 9], [8, 8]]
[[6, 8], [8], [7], [11], [4, 8], [11], [7, 7], [9], [11], [10], [5, 9], [10], [5, 9], [12], [12], [8], [8], [12], [11], [8], [12], [10], [10], [9], [12], [8], [12]]
[[12], [6, 7], [4, 8], [5, 8], [5, 9], [9], [10], [12], [10], [9], [8], [12], [10], [12], [11], [11], [8], [7, 7], [10], [12], [8], [], [8], [11], [8], [9], [12], [11]]
[[10], [9], [], [5, 8], [5, 8], [8], [8], [7], [7], [11], [12], [8], [11], [11], [12], [6, 7], [8], [12], [9], [10], [10], [12], [12], [8], [12], [11], [10], [9], [4, 9]]
[[9], [10], [6, 7], [8], [5, 5], [9], [11], [9], [11], [12], [10], [10], [10], [12], [], [7], [8], [12], [8], [8], [8], [12], [9], [8], [11], [12], [8], [11], [12], [4, 7]]
[[5, 5], [4, 6], [12], [7], [12], [11], [7], [12], [12], [11], [11], [10], [11], [10], [10], [10], [8], [8], [9], [12], [7], [8], [8], [8], [9], [9], [9], [8], [], [8], [12]]
[[10], [5, 8], [11], [5, 8], [9], [9], [8], [9], [6, 7], [9], [11], [8], [7], [11], [], [10], [10], [8], [12], [10], [], [12], [12], [8], [12], [8], [7], [12], [12], [4], [11], []]
[[9], [6], [8], [10], [8], [8], [10], [11], [5, 5], [8], [8], [7], [10], [12], [11], [11], [], [10], [9], [12], [9], [11], [], [12], [], [8], [12], [9], [7], [7], [12], [12], [4, 8]]
-EndAllocation

Instance: [[1], [306], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [204, 136, 102, 82, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [153, 102, 77, 62, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 12, 12, 12, 12, 12, 12], [5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11]]
[[5, 6, 6, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10], [7, 7, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12], [9, 9, 9, 9, 11, 11, 11]]
[[5, 6, 6, 6, 6, 10, 10, 11, 11, 11], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 12, 12, 12, 12, 12, 12], [9, 9, 9, 9]]
[[5, 9, 9, 9, 9, 10], [11, 11, 11], [6, 6, 6, 6, 7, 7, 10, 10, 10, 10], [12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[5, 10, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 12, 12], [6, 6, 6, 6, 10, 10, 10, 10], [8], [7, 7, 12, 12, 12, 12]]
[[5, 12, 12, 12, 12], [12, 12], [7, 7, 9, 9, 9, 9], [6, 6, 6, 11, 11, 11], [6, 10, 10, 10, 10, 10], [8, 8], [8, 8, 8, 8, 8, 8, 8]]
[[10, 10, 10, 10, 10], [5, 9, 9, 9, 12], [7, 7, 9, 12], [12, 12, 12, 12], [], [6, 6, 6, 6, 8, 8, 8], [11, 11, 11], [8, 8, 8, 8, 8, 8]]
[[5, 8, 8, 8, 8], [10, 10, 10, 12], [12, 12, 12], [10, 10], [7, 7], [6, 9, 9, 9, 9], [8, 8, 8, 8, 8], [6, 6, 6, 12, 12], [11, 11, 11]]
[[5, 8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 6, 10], [11, 11, 11], [7, 7], [10], [9, 9, 9, 9], [10, 10, 10], [12, 12, 12], [12, 12, 12]]
[[8, 12, 12], [5], [7, 7, 10, 10], [12, 12, 12], [11, 11, 11], [], [10, 10, 10], [6, 6, 6, 6, 12], [8, 8, 8, 8], [8, 8, 8, 8], [9, 9, 9, 9]]
[[5, 9, 9, 9], [10, 12, 12], [10, 10, 10], [], [8, 8, 8, 8], [12, 12], [6, 6, 6, 6, 8], [11, 11, 11], [7, 7, 10], [9], [8, 8, 8, 8], [12, 12]]
[[5, 8, 8, 8], [10, 10, 11], [6, 7, 7, 12], [], [6, 6, 6, 9], [], [9, 9, 9], [8, 12, 12], [12, 12], [11, 11], [8, 8, 8, 8], [8, 12], [10, 10, 10]]
[[10, 10], [5, 8, 8, 8], [9, 10, 10], [8, 8, 8], [6, 6, 6, 6], [7, 7], [10, 12], [12, 12], [], [12, 12], [11, 12], [9, 9, 9], [11, 11], [8, 8, 8]]
[[8, 8, 8], [5, 10, 12], [12], [9, 9, 9], [12, 12], [8, 8, 8], [10, 10], [12, 12], [11], [11, 11], [6, 6, 6, 6], [10, 10], [9], [7, 7], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [12, 12], [12, 12], [11, 11], [6, 6, 6, 6], [5, 9, 9], [10], [12, 12], [10, 10], [], [10, 10], [9, 9], [11], [7, 7], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [9, 9], [12, 12], [11, 11], [12, 12], [], [6, 6, 6, 6], [7, 7], [11], [], [10, 10], [8, 10], [8, 8, 8], [9, 9], [12, 12], [10, 10]]
[[5, 8, 8], [8, 12], [10, 11], [8, 12], [9, 9], [8, 8], [12], [8, 12], [10, 10], [10, 10], [7, 7], [11, 11], [6, 6, 6], [9, 9], [], [12], [8, 8], [6, 12]]
[[5, 6, 8], [8, 8], [8, 8], [9, 9], [10, 12], [12], [7, 7], [10, 10], [12], [12], [12], [12], [6, 6, 6], [11], [8, 8], [9, 9], [10, 10], [11, 11], [8, 8]]
[[5, 8, 8], [8, 8], [6, 10], [8, 8], [11], [11], [12], [6, 6, 6], [12], [9, 9], [11], [7, 7], [9, 9], [12], [12], [10, 10], [10, 10], [12], [8, 12], [8, 8]]
[[8, 10], [8, 8], [8, 8], [5, 6], [11], [12], [10, 10], [7, 7], [8, 12], [10, 10], [6, 6, 6], [11], [12], [12], [9, 9], [9, 9], [], [8, 8], [12], [11], [8, 12]]
[[8, 10], [8, 10], [8, 8], [8, 8], [5, 6], [12], [12], [12], [7, 7], [12], [10], [9, 9], [12], [12], [9, 9], [11], [11], [11], [8, 10], [6, 6, 6], [10], [8, 8]]
[[8], [8, 8], [8, 8], [6, 12], [11], [10], [6, 6, 6], [10], [11], [8, 8], [12], [10], [12], [11], [9, 9], [12], [9, 9], [12], [12], [7, 7], [10], [5, 10], [8, 8]]
[[12], [8, 8], [8, 8], [5, 12], [6, 10], [10], [8, 9], [12], [6, 10], [6, 6], [9], [12], [11], [10], [9], [8, 8], [10], [11], [7, 7], [9], [12], [11], [12], [8, 8]]
[[5, 6, 6], [8, 8], [8, 8], [10], [8, 8], [10], [12], [11], [7, 7], [12], [12], [6, 9], [12], [12], [8], [10], [6, 9], [10], [10], [11], [9], [11], [9], [12], [8, 8]]
[[5, 8], [8, 8], [11], [12], [10], [12], [7, 7], [10], [10], [12], [12], [9], [10], [8, 8], [9], [10], [8, 8], [6, 6], [9], [6, 6], [11], [12], [11], [12], [9], [8, 8]]
[[5, 8], [8, 8], [8, 8], [11], [10], [6, 6], [8, 8], [10], [], [10], [9], [12], [12], [12], [12], [10], [7, 7], [11], [12], [12], [10], [9], [6, 6], [9], [11], [9], [8, 8]]
[[11], [12], [6, 8], [7, 7], [10], [10], [6, 8], [11], [10], [10], [12], [12], [9], [6, 8], [9], [6, 8], [8], [8], [12], [11], [10], [12], [9], [9], [8], [12], [8], [5, 8]]
[[5, 9], [6, 8], [12], [8], [6, 8], [10], [8], [8], [8], [8], [11], [12], [8], [9], [11], [6, 6], [9], [12], [10], [11], [12], [12], [8], [9], [10], [10], [12], [7, 7], [10]]
[[11], [5, 8], [8], [12], [8], [11], [8], [8], [10], [10], [6, 6], [9], [11], [6, 6], [10], [12], [8], [9], [12], [9], [12], [12], [8], [10], [8], [12], [7, 7], [10], [9], [8]]
[[10], [9], [5, 7], [12], [8], [6, 6], [8], [8], [9], [8], [7], [11], [8], [9], [12], [12], [11], [8], [8], [12], [10], [6, 6], [8], [12], [10], [10], [12], [11], [10], [9], [8]]
[[9], [5, 6], [10], [8], [8], [8], [8], [8], [8], [10], [10], [10], [9], [8], [6, 7], [10], [12], [12], [], [11], [12], [11], [7], [9], [12], [12], [12], [11], [8], [9], [6, 6], [8]]
[[6, 6], [6, 6], [8], [7], [7], [10], [8], [10], [8], [11], [8], [11], [11], [8], [10], [9], [12], [9], [], [9], [12], [10], [12], [12], [12], [9], [8], [12], [], [8], [8], [10], [5, 8]]
[[8], [8], [8], [8], [8], [8], [10], [8], [], [], [6, 6], [11], [9], [10], [7], [11], [10], [6, 6], [12], [9], [10], [10], [12], [12], [9], [11], [12], [7], [9], [12], [8], [5], [12], [8]]
-EndAllocation

Instance: [[1], [305], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [204, 136, 102, 81, 68, 58, 52, 45, 41, 37, 34, 32, 29, 28, 26, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [153, 102, 77, 61, 51, 44, 39, 34, 31, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[9, 11, 11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[9], [5, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12], [11, 11, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [9, 12, 12, 12], [12, 12], [5, 5, 5, 5, 12, 12], [11, 11, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [11, 12, 12], [12, 12, 12], [12, 12, 12], [9, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 11]]
[[], [12, 12, 12], [12, 12, 12], [9, 12, 12], [12, 12, 12], [12, 12, 12], [11, 11], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5], [], [12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5], [11, 11, 12]]
[[], [5, 5, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [11, 11, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 11, 11], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 9], [12, 12], [5, 12, 12], [12, 12], [12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [5, 12], [12, 12], [11, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 9], [], [12, 12], [12, 12]]
[[], [12, 12], [], [9, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [11, 11], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12], [9], [11, 11], [], [12, 12], [12, 12], [12, 12], [5, 5], [12, 12], [5, 5, 5, 5], [12, 12]]
[[12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [9, 12], [11, 11], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12]]
[[12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [12], [11, 11], [12], [12], [5, 5, 9], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [9, 12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 5, 11], [12], [12], [5, 12], [11]]
[[12], [12], [5, 11], [5, 5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [9], [5, 11], [12], [12], [5, 12], [5, 12], [5, 12], [12]]
[[12], [5, 11], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [9], [12], [12], [12], [5, 11], [12], [12], [5, 12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12], [5, 9], [5, 5, 5], [5, 5, 5], [12], [12], [11], [5, 5, 5], [5, 11]]
[[12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [11], [12], [5, 5, 5], [12], [9], [12], [12], [5, 12], [12], [12], [5, 5, 5], [5, 5, 5], [11], [12], [12], [12]]
[[12], [12], [5, 5, 5], [], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [9], [5, 12], [11], [12], [5, 12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [11]]
[[12], [5, 11], [12], [5, 5, 5], [5, 9], [11], [5, 5, 5], [], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [], [12], [12]]
[[12], [], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 9], [12], [12], [12], [], [12], [11], [12], [12], [11]]
[[12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [11], [12], [12], [12], [12], [9], [5, 5], [12], [12], [12], [12], [12], [11], [12], [], [5, 5], [5, 5], [5, 5], [12], [12]]
[[12], [12], [11], [12], [], [12], [12], [12], [12], [12], [5, 5], [12], [9], [12], [5, 5], [5, 5], [12], [5, 5], [12], [12], [12], [5, 5], [11], [], [12], [5, 5], [5, 5], [12], [12]]
[[12], [12], [11], [12], [12], [11], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [12], [9], [12], [12], [5, 5], [], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5]]
[[12], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [9], [11], [5, 5], [12], [5, 5], [], [12], [5, 5], [11], []]
[[11], [5, 5], [12], [12], [12], [12], [], [12], [12], [12], [12], [], [5, 5], [], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [11], [12], [12], [], [], [12], [5, 5], [9], [12]]
[[], [5, 5], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [9], [], [12], [5, 5], [], [], [12], [], [12], [11], [12], [5, 5], [11], [12], [5, 5], [12], [12], [12], []]
[[12], [11], [12], [12], [12], [12], [], [], [5, 5], [12], [12], [5, 5], [5, 5], [], [12], [5, 5], [12], [], [], [], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [5, 5], [11], [9], [12]]
-EndAllocation

Instance: [[1], [304], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [202, 136, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [152, 102, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[3, 3, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12], [5, 8, 8, 8, 8, 8, 8, 9, 9, 9, 12, 12]]
[[3, 3, 4, 4, 11, 11, 12, 12, 12, 12, 12, 12], [7, 7, 8, 8, 8, 8, 8, 8], [5, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11]]
[[3, 3, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10, 10], [5, 10, 12], [7, 7, 9, 9, 9, 11, 11, 11, 11], [10, 10, 10, 10, 12, 12, 12, 12, 12]]
[[3, 3, 4, 4, 5, 7, 9, 9, 9, 10], [11, 11, 11, 11], [7, 10, 10, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12, 12]]
[[3, 3, 4, 4, 5, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [11, 11, 11, 11, 12], [9, 9, 9, 10, 10, 10, 10], [7, 7]]
[[3, 5, 8, 8, 8, 8, 8, 8], [], [11, 11, 11, 11], [10, 10, 10, 10, 10], [12, 12, 12, 12], [9, 9, 9, 12, 12], [3, 4, 4, 7, 7, 10, 10, 10]]
[[4, 4, 5, 9, 9, 9], [7, 7, 8, 8, 8], [10, 10, 10], [12, 12], [11, 11, 11, 11], [3, 3, 8, 8, 8], [12, 12, 12, 12], [10, 10, 10, 10, 10]]
[[3, 3, 4, 4, 5, 8], [10, 10, 11, 12], [10, 10, 11, 12], [10, 11, 11, 12], [7, 7, 12], [9, 9, 9], [8, 8, 8, 8, 8], [12], [10, 10, 10, 12]]
[[8, 8, 8, 8, 8], [3, 4, 4, 10, 10, 10], [3, 5, 12, 12], [11, 11], [8], [10, 12, 12], [9, 9, 9], [7, 7, 11, 11], [12, 12], [10, 10, 10, 10]]
[[3, 3, 4, 8, 8, 8], [4, 10, 10, 10], [9, 9, 9], [12, 12, 12], [10, 10, 10], [12, 12, 12], [5, 10, 10, 11], [], [8, 8, 8], [7, 7], [11, 11, 11]]
[[4, 4, 5, 10, 10], [8, 8], [10, 10, 11], [9, 9, 9], [11, 11, 11], [10], [8, 8, 8, 8], [10, 10], [3, 3, 12, 12], [12, 12], [10, 12, 12], [7, 7]]
[[3, 3, 4, 10, 10], [10, 10, 10], [10, 10, 12], [4, 12, 12], [10, 11, 11], [12], [9, 9, 9], [8, 8, 8], [], [11, 11], [5, 8, 8, 8], [12, 12], [7, 7]]
[[3, 3, 4, 4], [8, 8, 8], [10, 10], [12, 12], [10, 10], [12, 12], [12, 12], [5, 10, 10], [7, 7], [10, 10], [11, 11], [9, 9, 9], [11, 11], [8, 8, 8]]
[[3, 3, 8, 8], [4, 12, 12], [11, 11], [9, 9, 9], [10, 10], [12], [12, 12], [7, 7], [4], [5, 12], [11, 11], [10, 10], [10, 10], [8, 10, 10], [8, 8, 8]]
[[10, 12], [4, 4, 5], [12, 12], [7, 7], [10, 10], [9, 9], [], [12, 12], [10, 12], [8, 8, 8], [10, 10], [10, 10], [3, 3, 9], [11, 11], [11, 11], [8, 8, 8]]
[[3, 3, 4, 4, 10], [10, 12], [10, 10], [10, 10], [11, 11], [12, 12], [9, 12], [9, 9], [], [8, 8, 8], [10, 10], [7, 7], [], [12, 12], [5], [11, 11], [8, 8, 8]]
[[3, 3, 4, 5], [4, 8, 8], [11, 11], [10, 12], [8, 12], [10, 12], [10, 10], [8, 12], [10, 12], [10, 10], [9, 9], [8, 8], [9, 12], [], [7, 7], [11, 11], [10], []]
[[9, 12], [3, 3, 8], [], [9, 9], [7, 11], [10, 11], [8, 12], [12], [5, 12], [8, 8], [7, 12], [4, 4, 10], [11], [10, 11], [10], [12], [10, 10], [10, 10], [8, 8]]
[[3, 3, 4, 4, 5], [8, 8], [], [8, 8], [12], [10, 11], [10, 11], [12], [10, 11], [9], [12], [7, 7], [9, 9], [12], [12], [10, 10], [10, 10], [12], [10, 11], [8, 8]]
[[3, 3, 11], [4, 8, 8], [8, 8], [11], [], [9], [5, 11], [12], [12], [10, 10], [8, 8], [10, 10], [12], [7, 7], [11], [12], [10, 10], [9, 9], [12], [10, 10], [4, 12]]
[[8, 9], [12], [3, 3, 10], [4, 4, 8], [8, 10], [12], [12], [12], [8, 10], [10], [10], [8, 8], [11], [7, 11], [12], [10], [9, 9], [11], [10], [7, 11], [10], [5, 12]]
[[11], [8, 8], [3, 3, 10], [9, 9], [10], [10], [12], [12], [12], [5, 10], [10], [4, 4, 10], [11], [12], [12], [7, 10], [12], [7, 11], [8, 8], [9], [10], [11], [8, 8]]
[[8, 8], [4, 7], [10], [8, 9], [11], [11], [7, 9], [10], [11], [10], [12], [10], [10], [3, 3, 10], [12], [8, 8], [12], [5, 12], [11], [8, 9], [10], [4, 10], [12], [12]]
[[3, 3, 11], [10], [8, 8], [4, 10], [4, 12], [12], [12], [11], [9], [10], [10], [11], [12], [12], [8, 8], [7, 9], [10], [10], [10], [], [7, 9], [10], [11], [5, 12], [8, 8]]
[[3, 3, 10], [8, 8], [9], [4, 4], [10], [12], [12], [11], [10], [11], [9], [11], [12], [9], [11], [5, 10], [10], [10], [8, 8], [10], [12], [10], [12], [7, 7], [12], [8, 8]]
[[5], [8, 8], [8, 8], [3, 3, 4, 4], [10], [9], [9], [12], [7, 7], [10], [9], [11], [10], [12], [10], [10], [10], [11], [12], [11], [11], [12], [12], [12], [10], [10], [8, 8]]
[[3, 11], [10], [4, 8], [4, 8], [12], [7, 7], [12], [8], [12], [10], [12], [11], [11], [10], [9], [10], [10], [11], [10], [12], [9], [8], [9], [8], [5, 8], [10], [12], [3, 10]]
[[3, 3, 8], [9], [4, 10], [10], [9], [8], [12], [8], [4, 10], [11], [11], [12], [11], [10], [12], [8], [8], [10], [10], [12], [9], [12], [10], [7, 7], [10], [11], [12], [8], [5]]
[[5, 9], [4, 8], [4, 8], [12], [10], [12], [10], [9], [11], [8], [10], [10], [11], [9], [10], [12], [7, 7], [], [12], [3, 3, 8], [11], [12], [], [12], [10], [8], [10], [8], [11], [10]]
[[4, 7], [4, 8], [3, 3], [8], [8], [10], [10], [11], [9], [10], [10], [11], [7], [9], [10], [12], [11], [12], [12], [12], [10], [11], [8], [], [12], [12], [10], [10], [8], [9], [5, 8]]
[[10], [4, 9], [8], [5], [12], [8], [10], [8], [9], [10], [10], [10], [8], [10], [7], [10], [12], [11], [], [11], [8], [11], [12], [8], [12], [12], [12], [11], [10], [9], [7], [3, 3, 4]]
[[4, 4, 5], [10], [7], [], [10], [8], [10], [11], [10], [10], [], [12], [12], [9], [10], [9], [12], [8], [11], [10], [12], [11], [7], [8], [12], [9], [12], [8], [8], [10], [8], [11], [3, 3]]
[[4, 7], [10], [12], [8], [7], [10], [8], [8], [10], [10], [11], [10], [], [11], [8], [10], [12], [9], [11], [12], [10], [], [8], [12], [10], [8], [9], [9], [12], [11], [5], [12], [], [3, 3, 4]]
-EndAllocation

Instance: [[1], [303], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [202, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [152, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12], [6, 6, 7, 9, 9, 9, 9, 11, 11, 11, 11, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 6, 6, 7, 10, 10, 11, 11, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12], [10, 10], [6, 6, 9, 9, 9, 9, 11, 11, 11, 11], [5, 5, 5, 5, 7, 12, 12, 12, 12, 12, 12]]
[[8, 8, 8, 9, 9, 9, 9, 12], [6, 6, 11, 11, 11, 11], [10, 10], [8, 8, 8, 8, 8, 8, 8, 12, 12], [5, 5, 5, 5, 7, 12, 12, 12, 12]]
[[12, 12], [8, 8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [11, 11, 11, 11], [9, 9, 9, 9, 10, 10], [5, 5, 5, 5, 6, 6, 7, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8], [6, 6, 8, 8, 8], [11, 11, 11, 11], [5, 5, 5, 5, 10, 10], [12, 12, 12, 12], [9, 9, 9, 9], [7, 12, 12, 12]]
[[5, 5, 5, 7, 8, 8, 8], [5, 8, 9, 9, 9, 9], [12, 12, 12], [6, 6], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8], [12, 12, 12, 12], [10, 10]]
[[5, 8, 8, 8, 8, 8], [5, 5, 5, 12, 12], [11, 11, 11, 11], [6, 6, 12, 12], [7], [9, 9, 9, 9], [8, 8, 8, 8, 8], [12, 12], [10, 10, 12]]
[[8, 8, 8, 8, 8], [7, 11, 11, 11], [6, 6, 12], [], [8, 8, 8, 8, 8], [12, 12, 12], [9, 9, 9, 9], [5, 5, 5, 5, 11], [12, 12, 12], [10, 10]]
[[5, 5, 5, 8, 12], [5, 8], [9, 9, 9, 9], [12, 12, 12], [8, 8, 8, 8], [12, 12, 12], [10, 10], [7], [8, 8, 8, 8], [6, 6, 11], [11, 11, 11]]
[[5, 5, 5, 5, 11], [8, 8, 8, 9], [11, 11, 11], [9, 9, 9], [7, 8, 8, 8], [], [8, 8, 8], [10, 10], [6, 6, 12], [12, 12], [12, 12], [8, 12, 12]]
[[5, 5, 5, 5, 8], [8, 12, 12], [10, 10], [9, 9, 9], [8, 11, 12], [8], [8], [8], [6, 6, 7, 11], [11, 11], [8, 12, 12], [8, 12, 12], [8, 8, 9]]
[[5, 5, 8, 8], [5, 8, 8, 8], [7], [9], [6, 6, 8, 8], [12, 12], [12, 12], [12], [12, 12], [10, 10], [11, 11], [9, 9, 9], [11, 11], [5, 8, 8, 8]]
[[8, 8, 9], [5, 5, 5, 5, 7], [11, 12], [9, 9, 9], [], [8, 8, 8], [12, 12], [8, 8], [6, 6], [12, 12], [11, 11], [10, 10], [11], [12, 12], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [12, 12], [5, 5, 9], [5, 6, 6], [9, 9], [5], [12, 12], [12, 12], [7, 8], [10, 10], [], [9, 12], [11, 11], [11, 11], [8, 8, 8]]
[[5, 8, 8], [8, 8], [12, 12], [10, 10], [11, 11], [6, 6, 12], [9, 9], [9, 9], [], [8, 8, 8], [], [], [12, 12], [12, 12], [5, 5, 5, 7], [11, 11], [8, 8, 8]]
[[8, 12], [5, 8, 8], [5, 6, 11], [9, 12], [8, 12], [7, 11], [12], [], [10, 10], [], [9, 9], [5, 8, 8], [11, 11], [9, 12], [12], [12], [6, 8, 8], [5, 8, 8]]
[[5, 8, 8], [5, 8, 8], [5, 8, 8], [9, 12], [7, 11], [9, 9], [6], [12], [12], [11], [11], [12], [6, 12], [12], [8, 8], [9, 12], [11], [10, 10], [5, 8, 8]]
[[5, 8, 8], [5, 8, 8], [6, 7, 8], [8, 9], [12], [8, 8], [11], [9, 12], [], [9, 9], [11], [11], [6, 12], [12], [12], [10, 10], [12], [11], [5, 12], [5, 8, 8]]
[[5, 6, 7], [8, 11], [5, 12], [8, 12], [5, 5], [9, 11], [12], [8, 12], [12], [8, 8], [8, 12], [9, 11], [], [11], [], [], [10, 10], [9, 9], [8, 8], [6, 12], [8, 8]]
[[8, 8], [8, 8], [8, 8], [5, 11], [9, 9], [5, 12], [5, 12], [7, 10], [6, 12], [9, 9], [12], [8, 8], [12], [], [11], [], [10], [6, 12], [11], [11], [5, 12], [8, 8]]
[[5, 12], [8, 8], [8, 8], [11], [5, 12], [6, 10], [9, 9], [5, 12], [5], [12], [12], [], [12], [8, 8], [11], [11], [9, 9], [6, 12], [8, 8], [11], [], [7, 10], [8, 8]]
[[8, 8], [5, 8], [5, 5, 5], [12], [6, 11], [7, 9], [8, 9], [11], [9], [6, 9], [12], [11], [11], [10], [12], [8, 8], [12], [8, 8], [], [12], [12], [12], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [5, 12], [5, 11], [6, 9], [5, 12], [12], [7], [12], [11], [6, 9], [12], [], [8, 8], [], [11], [10], [10], [9], [12], [11], [12], [5, 9], [8, 8]]
[[5, 5, 5], [8, 8], [5, 9], [12], [7, 9], [12], [8, 8], [11], [10], [12], [], [9], [8, 8], [9], [11], [12], [8, 8], [6, 6], [10], [11], [12], [12], [12], [11], [], [8, 8]]
[[8, 8], [8, 8], [8, 8], [6, 6], [9], [8, 8], [9], [9], [12], [10], [9], [11], [12], [12], [12], [10], [5, 5, 5], [11], [7], [11], [11], [12], [12], [12], [], [5], [8, 8]]
[[11], [8], [12], [5, 8], [8], [6, 8], [5, 9], [6, 7], [11], [10], [12], [8], [8], [5, 8], [5, 8], [11], [9], [8], [12], [12], [9], [12], [10], [8], [12], [12], [11], [9]]
[[5, 9], [5, 8], [5, 8], [5, 8], [6, 8], [9], [8], [6, 8], [8], [12], [11], [8], [8], [7], [12], [9], [10], [10], [12], [8], [11], [12], [], [11], [9], [11], [12], [12], [12]]
[[9], [5, 8], [5, 8], [5, 8], [12], [12], [8], [10], [11], [11], [10], [7], [8], [6, 6], [9], [11], [], [8], [12], [12], [11], [12], [8], [8], [8], [12], [8], [9], [12], [5, 9]]
[[5, 8], [5, 8], [8], [8], [8], [8], [8], [12], [8], [12], [8], [11], [9], [9], [10], [11], [11], [12], [12], [12], [11], [6, 6], [8], [12], [12], [7], [10], [9], [], [9], [5, 5]]
[[9], [5, 5], [5, 8], [8], [8], [9], [8], [12], [8], [8], [], [], [9], [8], [6, 6], [10], [12], [7], [9], [11], [11], [11], [12], [12], [12], [12], [12], [11], [10], [8], [5, 8], [8]]
[[11], [5, 8], [5, 8], [8], [12], [12], [9], [11], [12], [12], [8], [12], [8], [9], [7], [9], [], [9], [11], [10], [], [], [12], [8], [], [8], [6, 6], [8], [12], [10], [5, 8], [11], [5, 8]]
[[5, 5], [11], [12], [8], [8], [8], [8], [8], [8], [9], [11], [], [], [], [6, 6], [10], [12], [9], [5, 5], [8], [11], [12], [12], [12], [10], [8], [9], [9], [12], [11], [7], [12], [8], [8]]
-EndAllocation

Instance: [[1], [302], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [201, 134, 101, 81, 68, 58, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [151, 101, 76, 61, 51, 44, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[5, 12, 12, 12, 12, 12, 12, 12, 12], [2, 3, 4, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11]]
[[12, 12, 12, 12], [2, 3, 4, 5, 6, 7, 7, 7, 9, 9, 9, 11, 11, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12]]
[[7], [2, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 11, 11], [3, 6, 9, 9, 9, 10, 10, 10, 10, 10, 10], [5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [2, 4, 12, 12, 12, 12, 12, 12], [6, 9, 9, 9, 10, 12, 12], [3, 5, 7, 7, 7, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 11, 11]]
[[], [5, 6, 8, 8, 8, 8, 8, 8, 8], [7, 9, 9, 9, 11, 11, 12], [3, 4, 10, 10, 10, 10, 10, 10], [2, 12, 12, 12, 12, 12], [7, 7, 12, 12]]
[[], [8, 12, 12, 12, 12], [5, 10, 11, 11, 12], [6, 10, 10, 10, 10, 10], [3, 7, 7, 7, 9, 9, 9], [8, 8, 8, 8, 8, 8], [2, 4, 12, 12, 12]]
[[], [7, 7, 7], [3, 6, 11, 11, 12], [8, 8, 9, 9, 9], [10, 10, 10, 10, 10], [12, 12, 12, 12], [2, 4, 8, 12, 12, 12], [5, 8, 8, 8, 8, 10]]
[[], [7, 7, 7, 10, 10], [8, 11, 11, 12], [3, 10, 10, 10, 10], [12, 12, 12], [4, 8, 9, 9, 9], [2, 8, 8, 8, 8, 8], [5, 12], [6, 12, 12, 12]]
[[], [5, 12, 12, 12], [3, 8, 8, 8, 8], [2, 11, 11, 12], [6, 8], [4, 10, 10, 10], [9, 9, 9, 12], [12, 12, 12], [7, 7, 7, 8, 8], [10, 10, 10]]
[[], [2, 10, 10, 10], [12], [7, 7, 7, 12], [12, 12, 12], [6, 8, 8, 8], [12, 12, 12], [8, 8, 8, 8], [4, 9, 9, 9], [5, 11, 11], [3, 10, 10, 10]]
[[], [10, 12, 12], [10, 10, 10], [12, 12], [3], [2, 8, 8, 10], [10, 11, 11], [5, 9, 9, 9], [7, 7, 7, 8], [4, 12, 12], [6, 12, 12], [8, 8, 8, 8]]
[[], [8, 8, 8, 8], [10, 11, 11], [6, 7], [5, 10, 10], [8, 12, 12], [7, 12, 12], [2, 3, 4, 8, 8], [7, 12, 12], [], [9, 9, 9], [12, 12], [10, 10, 10]]
[[], [2, 7, 7, 7], [10, 10], [12, 12], [8, 10, 10], [9, 9, 9], [5, 10, 10], [8, 8, 8], [12, 12], [6, 8, 12], [3, 4, 8, 8], [11, 11], [12, 12], [12]]
[[], [9, 9, 9], [3, 12, 12], [8, 8, 8], [], [8, 12], [2, 8, 8, 8], [5, 11, 11], [12], [12, 12], [10, 10], [4, 10, 10], [7, 7, 7], [12, 12], [6, 10, 10]]
[[], [9, 9], [7, 7, 7], [2, 3, 10, 10], [8, 8, 8], [12, 12], [8, 8], [12, 12], [], [4, 5, 10], [6, 8, 8], [12, 12], [9, 10], [11, 11], [10, 10], [12, 12]]
[[], [5, 10], [10, 10], [10], [4, 8, 8], [12, 12], [12, 12], [10, 10], [8, 8, 8], [12, 12], [], [11, 11], [2, 3, 9, 9], [7, 7, 7], [6, 8, 8], [12, 12], [9]]
[[12], [10, 10], [9, 12], [12], [10, 10], [4, 12], [12], [8, 8], [2, 12], [10, 10], [9, 12], [5, 7, 7], [7, 11], [9, 12], [8, 8], [6, 8], [3, 11], [8, 8]]
[[12], [12], [9, 12], [8, 8], [3, 6, 11], [12], [5, 12], [7, 7, 7], [9, 9], [8, 12], [10, 10], [2, 8, 8], [11], [10, 10], [], [8, 8], [4, 12], [10, 10], [12]]
[[12], [12], [5, 8], [10, 10], [10, 10], [8, 11], [8, 10], [12], [3, 10], [], [12], [9, 12], [6, 7, 7], [12], [8, 8], [12], [4, 9], [7, 12], [9, 11], [2, 8, 8]]
[[11], [8, 8], [7, 12], [8, 12], [12], [3, 10], [11], [12], [9, 9], [4, 12], [8, 8], [10, 10], [2, 10], [5, 10], [8, 8], [9, 10], [], [6, 7, 7], [12], [12], [12]]
[[12], [12], [12], [3, 8], [10], [12], [8, 10], [11], [7, 7], [2, 10], [7, 10], [12], [12], [8, 9], [12], [9, 9], [4, 12], [10], [8, 8], [6, 10], [5, 11], [8, 8]]
[[], [12], [3, 10], [6, 10], [10], [8, 10], [2, 8], [12], [12], [8, 10], [7, 11], [8, 10], [12], [12], [7, 7], [5, 12], [12], [11], [9], [9, 9], [12], [8, 8], [4, 8]]
[[10], [7, 7], [7, 10], [4, 8], [9], [12], [12], [5, 12], [10], [12], [12], [12], [6, 9], [12], [2, 9], [11], [8, 8], [8, 8], [10], [10], [11], [8, 8], [3, 10], [12]]
[[9], [8, 8], [9], [7], [12], [5, 12], [10], [12], [11], [6, 8], [10], [12], [3, 8], [4, 12], [12], [10], [12], [10], [8, 8], [8, 9], [10], [7, 7], [11], [2, 10], [12]]
[[12], [10], [8], [7, 7], [6, 8], [10], [3, 12], [12], [10], [9], [12], [11], [7], [8, 8], [12], [8, 8], [9], [12], [2, 5, 9], [12], [11], [10], [4, 12], [10], [10], [8]]
[[11], [7, 7], [12], [3, 10], [5, 9], [8, 8], [8, 8], [10], [12], [2, 8], [], [10], [12], [10], [], [8, 8], [12], [6, 10], [12], [4, 12], [9], [7], [10], [11], [12], [12], [9]]
[[12], [9], [8], [2, 8], [10], [3, 10], [7], [10], [8], [11], [12], [7, 7], [5, 8], [9], [4, 10], [12], [9], [12], [8], [12], [8], [10], [11], [12], [6, 8], [12], [12], [10]]
[[12], [12], [12], [8], [10], [12], [9], [12], [12], [8], [12], [11], [2, 8], [10], [8], [6], [4, 8], [10], [8], [10], [11], [10], [3, 9], [5, 8], [10], [12], [7], [9], [7, 7]]
[[10], [8], [12], [10], [8], [8], [9], [9], [12], [12], [12], [10], [12], [8], [2, 12], [9], [8], [11], [4, 8], [12], [5], [10], [8], [10], [3, 6], [11], [7, 7], [7], [10], [12]]
[[12], [7], [10], [11], [12], [12], [8], [8], [10], [12], [12], [9], [6], [12], [8], [12], [7], [10], [10], [9], [11], [4, 9], [12], [2, 8], [5], [10], [10], [3, 7], [8], [8], [8]]
[[10], [9], [9], [12], [12], [8], [12], [8], [8], [6], [8], [8], [12], [10], [10], [12], [7], [11], [10], [3, 10], [5], [4, 9], [7], [7], [2], [8], [8], [10], [12], [12], [12], [11]]
[[11], [10], [2, 10], [8], [10], [11], [12], [12], [10], [9], [], [6], [4], [3, 8], [12], [12], [7], [12], [7], [10], [12], [10], [9], [5], [8], [9], [7], [8], [12], [8], [8], [12], [8]]
[[8], [10], [10], [10], [7], [12], [7], [2, 5], [12], [12], [8], [12], [4, 7], [9], [3], [10], [11], [9], [12], [], [12], [8], [11], [12], [8], [10], [6], [8], [8], [10], [8], [], [9], [12]]
-EndAllocation

Instance: [[1], [301], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [201, 134, 101, 81, 68, 57, 50, 45, 41, 37, 34, 32, 29, 28, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [151, 101, 76, 61, 51, 43, 38, 34, 31, 28, 26, 24, 22, 21, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12], [6, 6, 6, 7, 9, 9, 9, 9, 11, 11, 11, 11]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12], [9, 9, 9, 9, 12, 12], [5, 5, 6, 6, 6, 7, 10, 10, 10, 11, 11, 11, 11]]
[[4, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [5, 5, 10, 10, 10, 12], [6, 6, 6, 11, 11, 11, 11], [8, 8, 8, 8, 12, 12, 12, 12, 12]]
[[9, 9, 9, 9, 12], [6, 6, 6, 11, 11, 11, 11], [10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 5, 7, 12, 12, 12, 12, 12]]
[[5, 5, 12], [4, 8, 8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [11, 11], [9, 9, 9, 9, 10, 10, 10], [6, 6, 6, 7, 8, 8, 11, 11]]
[[8, 8, 8, 8, 8, 12], [6, 6, 6, 8, 8, 8, 8], [11, 11, 12], [10, 10, 10, 11, 11], [5, 5, 7, 12, 12, 12], [4, 9, 9, 9, 9, 12], [8]]
[[4, 8, 12, 12, 12], [7, 9, 9, 9, 9], [8, 8, 8], [6, 6, 6], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8], [5, 5, 12, 12, 12], [10, 10, 10]]
[[7, 8, 8, 8, 8], [8, 12, 12, 12], [11, 11, 11, 11], [6, 6, 6], [5, 5], [9, 9, 9, 9], [8, 8, 8, 8, 8], [12, 12, 12], [4, 10, 10, 10]]
[[8, 8, 8, 8, 8], [11, 11, 12], [4, 6, 6, 6], [], [8, 8, 11, 11], [12, 12], [9, 9, 9, 9], [5, 5, 8, 8, 8], [12, 12, 12], [7, 10, 10, 10]]
[[8, 8, 8, 11], [], [5, 5, 9, 9, 9], [12, 12, 12], [8, 8, 8], [12, 12, 12], [10, 10, 10], [4, 9], [8, 8, 8, 8], [6, 6, 6, 7], [11, 11, 11]]
[[9, 11, 11], [8, 8, 8, 8], [6, 11, 11], [9, 9, 10], [8, 8, 8, 8], [9], [8, 8], [5, 5, 10, 10], [6, 12, 12], [], [4, 6, 12, 12], [7, 12, 12]]
[[6, 8, 8, 8], [12, 12], [10, 10, 10], [12, 12], [11, 11], [4], [9, 9], [8, 8, 8, 8], [8], [6, 11, 11], [5, 5, 9, 9], [6, 12, 12], [7, 8, 8]]
[[4, 8, 8, 8], [8, 8, 11], [6, 10, 10], [5, 5, 12], [6, 6, 8, 8], [7, 9, 12], [12, 12], [], [], [12, 12], [11, 11], [9, 9, 9], [10, 11], [8, 8, 8]]
[[8, 8, 8], [12, 12], [11, 12], [4, 9], [10, 10], [8, 8, 8], [6, 6, 6], [12], [], [12, 12], [5, 5, 11], [9, 9, 9], [11, 11], [7, 8, 10], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [12, 12], [], [5, 10, 10], [6, 6, 6], [12], [12, 12], [4, 12], [7, 8, 8], [5, 10], [9], [9, 9], [11, 11], [11, 11], [8, 8, 9]]
[[8, 8, 8], [8, 8, 8], [5, 5, 12], [10, 10], [4, 11], [6, 6, 6], [9, 9], [9, 9], [12, 12], [8, 8, 8], [7, 11], [], [], [12, 12], [12], [11, 11], [8, 10]]
[[4, 8, 8], [6, 8, 8], [11, 11], [12], [12], [12], [11, 11], [12], [10, 12], [10, 10], [9, 9], [7, 8], [9, 9], [8, 12], [5, 5], [], [6, 8, 8], [6, 8, 8]]
[[4, 8, 8], [8, 12], [7, 8], [5, 5, 9], [8, 8], [11], [8, 12], [9, 11], [12], [11], [12], [12], [6, 6, 6], [11], [8, 8], [9, 9], [10], [10, 10], [8, 12]]
[[6, 6, 6], [8, 8], [8, 8], [8, 11], [8, 8], [8, 10], [10, 11], [12], [11], [5, 5, 9], [4], [7, 11], [9, 9], [], [12], [9, 10], [12], [12], [8, 12], [8, 12]]
[[8, 8], [8, 8], [8, 8], [8, 12], [], [9, 9], [8, 11], [12], [6, 12], [11], [5, 5, 10], [10], [12], [7, 12], [11], [6, 6], [4, 10], [9, 9], [11], [12], [8, 8]]
[[8, 8], [8, 8], [8, 8], [11], [4, 10], [6, 12], [12], [12], [5, 5], [9], [12], [7, 8], [11], [8, 10], [11], [10], [9, 9], [6, 12], [9], [6, 11], [12], [8, 8]]
[[12], [8, 8], [8, 8], [7, 9], [11], [10], [5, 5], [10], [12], [12], [4, 12], [6, 6, 6], [11], [8, 8], [11], [11], [9, 9], [9], [8, 8], [12], [12], [10], [8, 8]]
[[7, 8], [8, 8], [11], [11], [11], [11], [9], [10], [10], [6, 6], [6, 9], [12], [12], [10], [4, 9], [8, 8], [12], [8, 8], [5, 5], [12], [8, 9], [12], [12], [8, 8]]
[[11], [8, 8], [8, 8], [8, 9], [12], [8, 9], [12], [11], [7, 9], [12], [12], [6, 6], [4], [10], [8, 8], [5, 5], [], [10], [10], [6, 11], [12], [11], [12], [9], [8, 8]]
[[8, 8], [8, 8], [7, 9], [8], [11], [6, 8], [12], [11], [10], [9], [10], [12], [10], [9], [], [12], [9], [6, 6], [8, 8], [11], [12], [12], [12], [5, 5], [4, 11], [8, 8]]
[[8, 8], [4, 8], [8, 8], [10], [12], [7, 9], [9], [12], [], [10], [9], [11], [12], [6, 8], [], [10], [5, 5], [11], [12], [11], [11], [9], [6, 6], [12], [8, 8], [12], [8, 8]]
[[5, 8], [8], [8], [8], [8], [6, 8], [8], [6, 8], [11], [10], [4, 10], [10], [12], [6, 7], [9], [5, 9], [12], [11], [12], [11], [8], [12], [9], [9], [12], [12], [11], [8]]
[[10], [6, 8], [8], [4, 8], [8], [8], [8], [6, 8], [8], [9], [11], [12], [5, 5], [10], [12], [8], [12], [10], [12], [11], [9], [12], [9], [11], [9], [11], [12], [7], [6, 8]]
[[8], [8], [6, 7], [8], [5, 8], [8], [6, 8], [9], [11], [11], [10], [12], [11], [5, 8], [9], [9], [12], [9], [12], [12], [11], [12], [6], [10], [10], [12], [8], [8], [], [4, 8]]
[[12], [5, 8], [8], [8], [8], [8], [8], [12], [9], [11], [8], [11], [9], [9], [10], [12], [4], [6], [7], [11], [11], [6, 6], [8], [12], [12], [12], [10], [10], [8], [9], [5, 8]]
[[6, 6], [8], [8], [8], [8], [5, 8], [8], [8], [8], [12], [10], [10], [9], [9], [6, 7], [10], [12], [11], [4], [11], [], [11], [], [9], [12], [12], [12], [11], [12], [9], [8], [5, 8]]
[[8], [4, 8], [5, 8], [8], [8], [5, 8], [8], [11], [6], [8], [9], [12], [12], [], [10], [9], [12], [9], [11], [10], [12], [], [7], [11], [12], [9], [6, 6], [12], [8], [10], [], [11], [8]]
[[8], [4, 8], [8], [8], [8], [8], [8], [8], [10], [9], [11], [10], [12], [11], [6, 6], [10], [12], [9], [11], [12], [12], [6], [], [12], [5, 5], [11], [9], [9], [], [], [7], [12], [8], [8]]
-EndAllocation

Instance: [[1], [300], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 6, 6, 6, 7, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 32, 29, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 24, 22, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11], [4, 4, 4, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[7, 8, 10, 10, 10, 10, 10, 10], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 6, 6, 6, 6, 8, 8, 9, 11, 11, 11, 11]]
[[6, 6, 6, 6, 8, 9, 11, 11, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12], [8, 8, 10, 10, 10, 10, 10, 10], [4, 4, 4, 7, 12, 12]]
[[6, 6, 6, 6, 8, 12, 12, 12, 12], [4, 4, 4, 8, 8, 11, 11, 11, 11], [10, 10, 10, 10, 10, 10], [7, 12, 12, 12, 12, 12, 12], [9]]
[[7, 8, 12, 12, 12, 12], [6, 6, 6, 6, 11, 11, 11], [4, 4, 4, 8, 8, 9, 11, 12], [], [10, 10, 10, 10, 10, 10], [12, 12, 12, 12, 12]]
[[7, 8, 12, 12, 12], [9, 12, 12, 12, 12], [10, 12], [6, 6, 6, 6, 12, 12], [4, 4, 4, 8, 8], [11, 11, 11, 11], [10, 10, 10, 10, 10]]
[[4, 4, 4, 8, 12, 12], [10, 10, 10, 10, 10], [12], [12, 12, 12, 12], [11, 11, 11, 11], [6, 6, 6, 6, 9], [10, 12, 12, 12], [7, 8, 8]]
[[8, 11, 11, 11], [10, 10, 12, 12], [11], [6, 6, 6, 6, 10, 10], [4, 4, 4, 12, 12], [12, 12, 12], [12, 12, 12], [9], [7, 8, 8, 10, 10]]
[[8, 8, 8, 12], [6, 6, 6, 6, 7, 9], [12, 12, 12], [10, 10, 10, 10], [], [4, 4, 4, 10, 10], [11, 11, 11], [11], [12, 12, 12], [12, 12, 12]]
[[8, 12, 12], [10, 10, 10], [7, 12], [8, 8], [11, 11, 11], [6, 6, 6, 6, 11], [12, 12, 12], [4, 4, 4, 9], [12], [12, 12, 12], [10, 10, 10]]
[[8, 8, 8, 9], [6, 6, 6, 6, 7], [], [4, 4, 4, 11], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [10, 10, 10], [10, 10, 10], [11, 11, 11]]
[[8, 11, 11], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [4, 4, 4, 8, 8], [10, 10, 10], [11, 11], [6, 6, 6, 6, 7], [10, 10, 10], [9]]
[[4, 4, 4, 7, 8], [8], [12, 12], [12, 12], [8, 10, 10], [10, 10], [9, 10, 10], [6, 6, 6, 6], [], [11, 11], [11, 11], [12, 12], [12, 12], [12, 12]]
[[12, 12], [11, 11], [8, 12], [11, 11], [8, 8], [12, 12], [6, 6, 6, 6], [4, 4, 4, 12], [10, 10], [10, 10], [10, 10], [], [12, 12], [12, 12], [7, 9]]
[[8, 8, 9], [12, 12], [10, 10], [4, 4, 4, 7], [6, 6, 6, 6], [12, 12], [12, 12], [11, 11], [], [8], [12, 12], [12, 12], [10, 10], [], [11, 11], [10, 10]]
[[4, 4, 7, 8], [11, 11], [12, 12], [], [12, 12], [12, 12], [10, 10], [9, 11], [8, 8], [6, 6, 6, 6], [12, 12], [12, 12], [], [], [11], [10, 10], [4, 10, 10]]
[[11, 11], [4, 4, 12], [12], [10, 12], [8, 8], [12], [11, 11], [6, 12], [10, 10], [10, 12], [7, 12], [9, 12], [10, 10], [], [], [12], [8, 12], [4, 6, 6, 6]]
[[6, 6, 6], [10, 10], [12], [7, 11], [6, 12], [10, 11], [8, 8], [12], [11], [12], [10, 11], [10, 10], [12], [12], [4, 4, 4], [12], [8, 12], [9, 12], [12]]
[[4, 4, 10], [6, 11], [10, 10], [4, 12], [6, 6, 6], [12], [11], [12], [12], [12], [12], [10, 10], [12], [7, 12], [8, 8], [10], [12], [12], [8, 11], [9, 11]]
[[6, 6, 6], [10, 10], [12], [6, 12], [11], [12], [12], [11], [12], [4, 4, 4], [12], [10, 10], [10, 10], [], [12], [12], [11], [8, 8], [9, 11], [7, 12], [8, 12]]
[[6, 9], [12], [11], [4, 4, 4, 6], [12], [6, 10], [7, 11], [12], [12], [12], [10], [12], [12], [10], [12], [12], [8, 10], [12], [11], [8, 10], [8, 10], [6, 11]]
[[6, 6, 6], [8, 10], [8, 10], [4, 11], [12], [10], [12], [10], [8, 10], [12], [4, 12], [], [4, 11], [12], [12], [12], [11], [12], [10], [7, 9], [6, 11], [12], [12]]
[[4, 4, 8], [4, 11], [6, 11], [12], [11], [10], [12], [12], [12], [6, 6], [10], [11], [12], [12], [10], [10], [12], [12], [7, 8], [10], [8, 9], [12], [6, 10], [12]]
[[6, 10], [12], [8, 8], [9], [10], [11], [12], [12], [10], [12], [12], [4, 4, 4], [7, 8], [10], [11], [11], [12], [6, 10], [11], [12], [10], [6, 6], [12], [12], [12]]
[[4, 4, 8], [11], [12], [10], [12], [12], [10], [10], [11], [12], [12], [], [7, 9], [4, 11], [12], [10], [8, 8], [6, 6], [12], [12], [10], [12], [10], [11], [12], [6, 6]]
[[6, 6], [11], [12], [4, 4, 4], [8], [10], [12], [12], [8, 8], [6, 6], [12], [11], [12], [12], [10], [], [12], [12], [12], [7, 9], [10], [10], [10], [11], [12], [10], [11]]
[[6, 6], [12], [12], [11], [12], [10], [11], [10], [6, 6], [11], [11], [12], [12], [4, 4, 4], [10], [7], [10], [8], [8], [12], [12], [12], [10], [12], [8], [10], [12], [9]]
[[6, 6], [12], [12], [4, 4, 4], [11], [12], [8], [12], [8], [6, 6], [10], [12], [10], [7], [10], [12], [11], [11], [], [9], [11], [8], [10], [10], [12], [12], [10], [12], [12]]
[[4, 4, 4], [10], [10], [6, 6], [10], [12], [8], [11], [8], [6, 6], [9], [12], [11], [12], [10], [10], [], [11], [], [12], [12], [8], [11], [12], [10], [12], [12], [7], [12], [12]]
[[4, 4, 4], [12], [11], [12], [10], [8], [10], [10], [6, 6], [12], [8], [11], [6, 6], [12], [10], [7], [12], [10], [], [12], [12], [12], [], [9], [10], [12], [], [11], [11], [12], [8]]
[[6, 6], [12], [12], [10], [4, 4, 4], [11], [6, 6], [12], [], [8], [11], [12], [10], [10], [], [], [12], [12], [], [11], [12], [12], [8], [10], [12], [8], [10], [10], [11], [12], [9], [7]]
[[6, 6], [], [12], [6, 6], [10], [], [11], [8], [10], [12], [12], [4, 4, 4], [10], [12], [], [], [], [8], [12], [11], [12], [10], [7], [10], [10], [9], [11], [8], [12], [12], [12], [12], [11]]
[[8], [4, 4, 4], [8], [6, 6], [12], [10], [12], [10], [10], [11], [12], [12], [], [7], [], [12], [12], [10], [10], [11], [11], [], [], [11], [8], [12], [], [6, 6], [10], [12], [12], [], [9], [12]]
-EndAllocation

Instance: [[1], [299], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11]]
[[5, 5, 5, 5, 5, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 12], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 12, 12, 12, 12, 12], [9, 9, 9, 9, 10, 10, 10, 10]]
[[5, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 11, 11, 11, 11], [9, 9, 9, 9], [12, 12, 12, 12, 12], [7, 7, 8, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 11, 11, 11, 11], [12, 12, 12, 12, 12], [9, 9, 9, 9, 10, 10, 10], [7, 7], [5, 5, 5, 5, 5, 10]]
[[5, 11, 11, 11, 11], [10, 10, 10, 10], [7, 7, 12], [8, 8, 8], [8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12], [5, 5, 5, 5, 9, 9, 9, 9]]
[[12, 12, 12, 12], [9, 9, 9, 9], [8, 8, 8, 8, 12], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [11, 11, 11, 11], [], [5, 5, 5, 5, 5, 7, 7]]
[[5, 11, 11, 11], [8, 8, 8, 8, 8], [12, 12, 12], [5, 5, 5, 5, 12, 12], [], [9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 11]]
[[8, 8, 8, 8, 8], [11, 11, 11], [10, 10, 10, 10], [5, 5, 5, 5, 11], [8, 8, 8, 8, 8], [], [9, 9, 9, 9], [5], [12, 12, 12], [7, 7, 12, 12]]
[[5, 8, 8, 8, 8], [10], [8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12], [], [10, 10, 10], [5, 5, 5, 5], [11, 11, 11], [7, 7, 8, 11], [8, 12, 12]]
[[5, 9, 9, 9], [11, 11, 11], [10, 10, 10], [], [8, 8, 8, 8], [], [8, 8, 12], [9, 10, 12], [12, 12], [5, 5, 5, 5, 12], [8, 8, 8, 8], [7, 7, 11]]
[[5, 8, 8, 8], [12, 12], [5, 5, 5, 5], [8, 11, 11], [10, 10, 10], [10], [7, 7, 12], [9, 9, 9], [9], [12, 12], [8, 8, 8], [11, 11], [8, 8, 8]]
[[5, 8, 8, 8], [8, 8, 8], [10, 10], [12], [10, 10], [9], [11, 11], [5, 5, 5, 5], [7, 7, 8], [12, 12], [12, 12], [9, 9, 9], [11, 11], [8, 8, 8]]
[[8, 8, 8], [10, 10], [5, 10, 10], [12, 12], [8, 8, 8], [9, 9], [], [], [5, 5, 5, 5], [11, 11], [8, 9, 9], [11, 11], [12, 12], [7, 7, 12], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [11, 11], [10, 10], [12, 12], [11, 11], [], [], [9, 9], [5, 5, 5, 5], [12, 12], [12], [9, 9], [5, 10, 10], [7, 7, 8], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [5, 5, 5, 5], [9, 9], [11, 11], [11, 11], [], [8, 8, 8], [9, 9], [], [10, 10], [], [8, 12], [12, 12], [7, 7, 8], [12, 12], [10, 10]]
[[8, 12], [8, 8], [11, 11], [9, 9], [5, 5, 5, 5], [], [12], [], [10, 10], [10, 10], [9, 9], [7, 7, 8], [11, 11], [8, 12], [8, 12], [12], [8, 8], [5, 8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [5, 5, 5, 5], [8, 8], [7, 11], [7, 11], [12], [12], [10, 11], [12], [12], [], [10, 11], [9, 9], [10, 10], [9, 9], [12], [8, 8]]
[[5, 8], [8, 8], [8, 12], [8, 8], [11], [12], [10, 10], [12], [11], [11], [12], [10, 10], [9, 9], [12], [11], [9, 9], [5, 5, 5, 5], [8, 8], [7, 7], [8, 8]]
[[5, 12], [8, 8], [8, 8], [12], [12], [], [10, 10], [7, 7], [8, 12], [], [9, 9], [11], [11], [9, 9], [10, 10], [5, 5, 5, 5], [11], [8, 8], [11], [8, 12], [8, 8]]
[[5, 10], [8, 8], [8, 8], [8, 8], [11], [12], [12], [7, 7], [5, 5, 5], [10], [11], [8, 10], [11], [9, 9], [11], [8, 10], [9, 9], [5, 12], [], [12], [12], [8, 8]]
[[8, 9], [8, 8], [8, 8], [10], [10], [11], [5, 5, 5], [8, 9], [10], [5, 12], [11], [10], [12], [8, 8], [7, 7], [12], [9], [9], [11], [12], [12], [5, 11], [8, 8]]
[[8, 8], [8, 8], [8, 8], [12], [11], [7, 9], [10], [10], [12], [], [9], [12], [11], [7, 10], [9], [9], [12], [8, 8], [5, 5, 5], [11], [11], [5, 12], [5, 10], [8, 8]]
[[5, 8], [8, 8], [8, 8], [5, 11], [11], [9], [12], [9], [8, 8], [9], [11], [12], [10], [9], [5, 5, 5], [10], [12], [8], [7, 7], [10], [12], [8, 8], [12], [11], [10]]
[[8, 8], [8, 8], [12], [10], [9], [], [12], [11], [10], [], [10], [9], [12], [9], [7, 7], [9], [8, 8], [10], [8, 8], [11], [12], [12], [5, 11], [5, 5, 5], [5, 11], [8, 8]]
[[8, 8], [8, 8], [8, 8], [9], [12], [9], [7, 7], [12], [], [], [5, 5, 5], [10], [5, 11], [], [12], [12], [11], [10], [11], [10], [10], [12], [9], [8, 8], [9], [5, 11], [8, 8]]
[[5, 8], [8], [12], [11], [8], [8], [8], [11], [10], [9], [8], [9], [8], [5, 8], [10], [10], [8], [5, 9], [12], [10], [11], [12], [12], [5, 9], [7, 7], [12], [11], [5, 8]]
[[5, 9], [8], [8], [11], [8], [11], [12], [8], [12], [12], [10], [8], [9], [10], [10], [8], [5, 5], [11], [11], [10], [12], [8], [9], [8], [9], [5, 8], [7, 7], [5, 8], [12]]
[[5, 5], [8], [8], [8], [8], [5, 8], [8], [12], [10], [11], [10], [12], [9], [12], [10], [9], [10], [7], [12], [9], [11], [12], [11], [8], [8], [11], [8], [5, 8], [5, 7], [9]]
[[5, 5], [8], [8], [8], [10], [8], [8], [12], [8], [5, 8], [9], [7], [11], [11], [11], [12], [10], [12], [], [8], [12], [7], [12], [9], [9], [10], [9], [11], [5, 8], [5, 8], [10]]
[[5, 8], [8], [5, 8], [8], [8], [8], [8], [10], [8], [8], [10], [10], [9], [], [5, 7], [12], [12], [11], [9], [], [9], [9], [11], [12], [12], [12], [11], [11], [7], [5, 5], [10], [8]]
[[5, 8], [8], [8], [8], [8], [5, 8], [5, 5], [8], [8], [7], [], [11], [12], [], [10], [9], [12], [9], [9], [9], [12], [8], [8], [10], [7], [12], [10], [11], [11], [12], [5], [11], [10]]
[[10], [11], [8], [8], [8], [7], [8], [8], [10], [8], [11], [10], [], [], [5, 5], [10], [12], [9], [11], [8], [8], [8], [5], [12], [5, 5], [11], [9], [9], [12], [9], [7], [12], [12], [8]]
-EndAllocation

Instance: [[1], [298], 34]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,34. UB Alg: [198, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [149, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,34:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 11, 11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 11, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [9, 11, 11, 12, 12], [5, 5, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [9, 11, 11, 12], [5, 12, 12, 12, 12], [5, 5, 5, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12], [5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12], [9, 12, 12, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [9, 12, 12], [12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [11, 11], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[], [9, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [], [5, 12, 12], [12, 12, 12], [11, 11, 12]]
[[12], [5, 5, 5, 5, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 9], [12, 12], [12, 12], [11, 11], [5, 12, 12], [12, 12]]
[[], [5, 5, 5, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [9, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12], [9, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 11]]
[[], [], [5, 5, 5, 5, 5], [12, 12], [9, 12], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 11], [12, 12]]
[[], [], [11, 11], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [9, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 5], [12, 12], [5, 5, 5, 5], [], [12, 12], [5, 5, 5, 5], [12, 12], [11, 11], [9, 12], [12, 12], [12, 12], [12, 12], [12], [5, 5, 5, 5], [12, 12], []]
[[12], [12], [5, 5, 12], [5, 5, 12], [11, 11], [12], [12], [12], [12], [5, 12], [9, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 5, 5]]
[[12], [5, 11], [5, 12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [9, 12], [5, 12], [12], [5, 5, 11], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12]]
[[11], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [5, 12], [5, 12], [9], [11], [5, 12], [5, 12], [5, 12]]
[[12], [12], [9, 11], [12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 5, 5, 5], [12], [12], [5, 11], [12], [12], [12]]
[[12], [5, 5, 5], [5, 5, 5], [12], [5, 11], [11], [12], [12], [5, 5, 5], [12], [9], [12], [5, 12], [5, 12], [12], [5, 12], [12], [12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 12], [12], [11], [5, 12], [12], [5, 9], [11], [12], [12], [12], [12], [12], [12]]
[[12], [9], [12], [12], [12], [12], [12], [11], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [11]]
[[12], [12], [5, 5, 5], [12], [11], [12], [5, 5, 5], [12], [12], [5, 5, 5], [11], [], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [9], [12], [12], [12], [12]]
[[], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [9], [5, 5, 5], [5, 11], [12], [5, 5, 5], [11], [12], [12], [12], [12], [12], [12], [5, 5], [], [12], [5, 5, 5], [12]]
[[12], [12], [11], [5, 11], [9], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [], [12], [], [12], [5, 5], [5, 5, 5], [12], []]
[[12], [12], [12], [5, 5], [11], [12], [5, 5], [12], [5, 5], [12], [12], [12], [9], [12], [12], [5, 5], [12], [5], [5, 5], [12], [12], [], [5, 5], [12], [12], [5, 5], [12], [11]]
[[12], [12], [5, 5], [12], [], [5, 5], [5, 9], [5, 5], [12], [], [11], [12], [12], [12], [12], [5, 5], [5, 5], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [11], [12], [5, 5]]
[[12], [12], [12], [12], [5, 5], [12], [11], [5, 5], [12], [12], [5, 5], [5], [5, 5], [12], [12], [9], [5, 5], [5, 5], [], [12], [], [12], [12], [11], [5, 5], [12], [], [12], [12], [12]]
[[12], [12], [5, 5], [12], [12], [], [12], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [9], [11], [], [5, 5], [12], [12], [5], [5, 5], [11]]
[[12], [], [12], [5, 5], [5, 5], [12], [12], [12], [5, 5], [], [12], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [11], [9], [], [12], [5], [11], [], [12]]
[[], [5, 5], [12], [12], [], [12], [12], [], [12], [12], [12], [12], [12], [5], [5, 5], [9], [5, 5], [12], [12], [11], [], [12], [12], [5, 5], [12], [5, 5], [], [11], [5, 5], [], [5, 5], [12], [12]]
[[12], [12], [5, 5], [], [5], [12], [12], [9], [12], [12], [5, 5], [12], [12], [], [], [12], [], [5, 5], [5, 5], [12], [11], [11], [], [5, 5], [12], [12], [], [12], [12], [], [12], [5, 5], [12], [5, 5]]
-EndAllocation

Instance: [[1], [315], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [210, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [158, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11], [3, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10, 12, 12, 12, 12, 12, 12]]
[[10, 10, 10, 12, 12, 12, 12, 12, 12], [9, 9, 9, 9, 9, 11, 11, 11, 11, 11], [3, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [3, 7, 7, 7, 7, 10, 10, 10], [9, 9, 9, 9, 9, 11, 11], [11, 11, 11, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 11, 11, 12, 12, 12], [8, 8, 8, 8, 8, 8, 12, 12, 12], [8, 8, 10, 10, 10], [7, 7, 7, 7], [3, 9, 9, 9, 9, 9, 11, 11, 11]]
[[3, 8, 8, 9, 10, 11, 12], [8, 8, 8, 11, 12], [9, 10, 11, 11, 11, 12], [12], [7, 7, 7, 7, 9, 9, 9, 12], [6, 6, 6, 8, 8, 8, 10, 12]]
[[3, 9, 9, 9, 10, 10, 10], [11, 11], [8, 9, 9], [12, 12, 12, 12, 12], [6, 6, 6, 11, 11, 11], [7, 7, 7, 7, 12], [8, 8, 8, 8, 8, 8, 8]]
[[3, 8, 8, 9, 11], [8, 8, 8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7, 12, 12], [], [9, 9, 9, 9, 11], [12, 12, 12, 12], [6, 6, 6, 11, 11, 11]]
[[9, 9, 9, 9, 9], [3, 10, 10, 10], [11, 12, 12], [12, 12], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 6, 12, 12], [11, 11, 11, 11]]
[[3, 8, 8, 8, 8], [9, 12, 12], [10, 10, 10, 12], [11, 11, 12], [8, 8, 8, 8], [], [7, 7, 7, 7], [11, 11, 11], [9, 9, 9, 9], [6, 6, 6, 12, 12]]
[[3, 6, 6, 6, 11], [11], [11, 11, 11], [7, 7, 7, 7], [10, 10, 10], [12, 12, 12], [9, 9, 9, 9], [12], [8, 8, 8, 8], [8, 8, 8, 8], [9, 12, 12]]
[[3, 6, 7, 9], [9, 9, 9, 9], [11, 11, 11], [12, 12, 12], [8, 8, 8, 8], [], [], [10, 10, 10], [12, 12, 12], [8, 8, 8, 8], [11, 11], [6, 6, 7, 7, 7]]
[[8, 8, 8, 8], [3, 6, 11, 11], [6, 12, 12], [8, 8, 8, 8], [11, 12], [9, 9, 12], [12], [7, 7, 7, 7], [], [10, 10, 10], [9, 9, 9], [12], [6, 11, 11]]
[[3, 8, 8, 8], [6, 8, 11], [7, 7, 7, 7], [12, 12], [9, 9, 9], [8], [12, 12], [], [6, 9, 9], [11, 11], [11, 11], [10, 10, 10], [12, 12], [6, 8, 8, 8]]
[[3, 8, 8], [6, 6, 10], [12, 12], [9, 9, 9], [10, 10], [], [11], [12, 12], [11, 11], [9, 9], [12, 12], [8, 8, 8], [6, 11, 11], [7, 7, 7, 7], [8, 8, 8]]
[[8, 12], [8], [12, 12], [3, 10], [11, 11], [10, 10], [11, 12], [8, 12], [8, 9, 9], [8, 9, 9], [6, 6, 6], [7, 7, 7], [9, 12], [8, 11], [8, 11], [7, 8]]
[[3, 11, 11], [8, 8], [6, 9, 9], [8, 8, 8], [10, 10], [7, 7, 8], [6, 11], [7, 9, 9], [], [10], [12, 12], [12, 12], [9], [7], [12, 12], [11, 11], [6, 8, 8]]
[[7, 11], [11, 11], [3, 10, 10], [6, 12], [12, 12], [], [11, 11], [7, 7, 7], [8, 8], [10], [9, 9], [9, 9], [], [12, 12], [9], [6, 6, 12], [8, 8, 8], [8, 8, 8]]
[[3, 12], [6, 6], [12], [7, 12], [8, 8], [8, 8], [9, 9], [12], [9, 11], [9, 9], [7, 7, 7], [], [10, 12], [12], [8, 8], [11, 11], [11, 11], [10, 10], [6, 8, 8]]
[[3, 8, 8], [12], [8, 8], [6, 6, 6], [12], [11], [10, 10], [12], [10, 11], [11], [12], [7, 7, 7], [9, 9], [7, 12], [12], [9, 9], [11], [9, 11], [8, 8], [8, 8]]
[[9, 9], [8, 8], [8, 8], [8, 8], [7, 11], [12], [12], [9, 11], [9, 9], [10], [7, 7], [11], [12], [7, 12], [10, 10], [11], [12], [6, 6, 6], [8, 11], [8, 12], [3]]
[[3, 6, 11], [8, 11], [6], [12], [8, 8], [], [9, 11], [], [7, 7], [], [10], [9, 9], [8, 8], [8, 11], [7, 12], [10, 10], [9, 9], [8, 12], [12], [7, 12], [6, 12], [8, 11]]
[[8, 8], [8, 8], [8, 8], [3, 11], [12], [12], [9, 9], [7, 11], [10], [12], [7, 10], [11], [9], [11], [6, 6], [12], [9, 9], [7, 7], [11], [10], [12], [6, 12], [8, 8]]
[[8, 9], [8], [3, 10], [12], [7, 11], [12], [12], [7, 10], [8, 10], [8, 9], [9], [11], [12], [12], [9, 9], [8], [8], [7, 8], [11], [7, 11], [11], [12], [6, 6, 6], [8]]
[[12], [8, 8], [7, 9], [6, 6], [12], [12], [11], [9], [12], [7], [11], [10], [7, 10], [8, 8], [8, 8], [12], [12], [9], [9], [11], [7, 9], [6, 11], [11], [3, 10], [8, 8]]
[[8, 8], [8, 8], [6, 9], [6, 10], [7, 7], [12], [11], [12], [10], [9], [11], [7, 7], [9], [11], [9], [10], [8, 8], [11], [8, 8], [11], [12], [12], [12], [12], [3, 6], [9]]
[[6, 9], [8, 8], [6], [9], [11], [10], [8, 8], [8], [8], [10], [9], [11], [12], [12], [12], [11], [8, 8], [12], [11], [12], [12], [11], [6, 10], [7, 7], [9], [7, 7], [3, 9]]
[[11], [6, 6], [11], [12], [12], [], [7, 9], [12], [9], [10], [9], [9], [11], [8, 8], [8, 8], [10], [8, 8], [], [10], [12], [11], [7, 7], [12], [11], [12], [7, 9], [8, 8], [3, 6]]
[[12], [6, 8], [8], [10], [12], [11], [9], [7, 7], [8], [6, 8], [9], [12], [11], [11], [9], [11], [9], [10], [6, 8], [10], [8], [12], [12], [11], [9], [8], [3, 8], [7, 7], [12]]
[[3, 6], [10], [6, 8], [12], [7, 7], [8], [12], [8], [10], [9], [11], [9], [8], [9], [11], [10], [8], [7, 7], [12], [11], [11], [9], [12], [11], [12], [8], [9], [8], [12], [6, 8]]
[[9], [7, 7], [6, 8], [7, 7], [11], [8], [], [8], [6, 8], [9], [8], [11], [9], [12], [12], [10], [12], [10], [10], [12], [11], [8], [9], [9], [12], [12], [11], [11], [6, 8], [8], [3]]
[[8], [11], [9], [8], [11], [9], [8], [6, 7], [8], [11], [9], [8], [12], [10], [8], [11], [12], [12], [6, 7], [8], [6], [11], [9], [12], [7], [12], [12], [10], [8], [10], [7], [3, 9]]
[[10], [12], [11], [7], [8], [10], [9], [8], [9], [6, 6], [7], [11], [11], [12], [9], [8], [11], [8], [12], [8], [9], [12], [12], [7], [11], [8], [10], [8], [8], [12], [7], [6], [3, 9]]
[[9], [8], [8], [], [6, 6], [7], [8], [9], [11], [11], [10], [11], [10], [9], [7], [11], [6], [12], [12], [9], [10], [7], [9], [12], [11], [12], [12], [7], [8], [12], [8], [8], [8], [3, 8]]
[[6], [8], [8], [7], [6, 6], [9], [12], [8], [8], [8], [9], [12], [11], [9], [12], [7], [8], [12], [3], [9], [12], [10], [11], [10], [7], [8], [8], [], [11], [12], [11], [10], [11], [9], [7]]
-EndAllocation

Instance: [[1], [314], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 11], [3, 6, 6, 6, 7, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[3, 4, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12], [6, 6, 6, 9, 9, 9, 9, 11, 11, 11, 11, 11], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 10, 10, 10, 10], [4, 6, 6, 6, 9, 9, 9, 9, 11, 11], [11, 11, 11, 12, 12, 12, 12, 12, 12]]
[[4, 6, 6, 6, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 12], [3, 10, 10, 10, 10], [7, 7, 9], [9, 9, 9, 11, 11, 11, 11, 11]]
[[3, 4, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8, 8], [11, 11, 11, 11, 11], [12, 12, 12, 12, 12], [7, 7, 9, 9, 9, 9, 12], [8, 10, 10, 10, 10]]
[[3, 4, 6, 6, 6, 10, 10, 10], [10, 12], [8, 8], [12, 12, 12, 12, 12], [11, 11, 11, 11, 11], [7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 6, 6, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [7, 7, 12, 12], [11], [9, 9, 9, 9], [12, 12, 12, 12], [11, 11, 11, 11]]
[[3, 9, 9, 9, 11], [4, 6, 9, 10, 11], [10, 10, 10, 11], [11, 11, 12], [7, 7], [8, 8, 8, 8], [8, 8, 8, 8, 8], [6, 6, 12, 12], [12, 12, 12]]
[[8, 8, 8, 8, 8], [3, 12, 12, 12], [10, 10, 10, 10], [4, 11, 11, 12], [8, 8, 8, 8], [11], [7, 7, 9, 9], [], [9, 9, 11, 11], [6, 6, 6, 12, 12]]
[[3, 4, 6, 6, 6, 12], [8], [11, 11, 11], [7, 7, 11, 11], [10, 10, 10], [12, 12, 12], [9, 9, 9, 9], [10], [8, 8, 8, 8], [8, 8, 8, 8], [12, 12]]
[[3, 4, 9, 11], [9, 10, 11], [11], [12, 12, 12], [8, 8, 8, 8], [11], [8], [10, 10, 10], [12, 12, 12], [8, 8, 8, 8], [6, 6, 6, 9], [7, 7, 9, 11]]
[[8, 8, 8, 8], [3, 11, 11], [4, 6, 6, 11], [8, 8, 8, 8], [9, 9, 9], [12, 12], [12], [7, 7], [8], [10, 12], [9, 11, 11], [6, 12, 12], [10, 10, 10]]
[[3, 8, 8, 8], [4, 8, 8, 8], [7, 7], [12], [9, 9, 9], [8, 8, 8], [12, 12], [11], [12, 12], [11, 11], [11, 11], [10, 10, 10], [9, 10], [6, 6, 6, 12]]
[[4, 6, 6, 12], [6, 10, 10], [12], [9, 9, 9], [10, 10], [3, 11, 12], [8, 8, 8], [12], [11, 11], [8, 8, 8], [12], [8, 8, 8], [11, 11], [7, 7, 9], [12]]
[[8, 8, 8], [3, 8, 10], [12, 12], [4, 10, 11], [10, 11], [10, 11], [6], [12, 12], [6, 9, 9], [12, 12], [6], [7, 7], [9, 9], [8, 8, 8], [11, 11], [8, 8]]
[[3, 11, 11], [4], [9, 9], [8, 8, 8], [10, 10], [7, 7], [], [9, 9], [6, 6, 6], [10, 10], [12, 12], [12, 12], [11], [8, 8, 8], [12, 12], [11, 11], [8, 8, 8]]
[[3, 4, 6], [12, 12], [10, 10], [11, 11], [12, 12], [], [11, 11], [7, 7], [8, 8, 8], [10, 10], [9, 9], [9, 9], [], [12, 12], [], [6, 6, 11], [8, 8, 8], [8, 8, 8]]
[[4, 8, 8], [6, 8, 8], [6, 8, 8], [10, 11], [8, 8], [12], [9, 9], [10, 12], [12], [12], [7, 7], [], [10], [8, 12], [9, 9], [11, 11], [11, 11], [3, 10], [6, 12]]
[[8, 12], [4, 8, 8], [8, 11], [3, 11], [12], [12], [10, 10], [12], [11], [8, 8], [6, 6, 6], [7, 7], [9, 9], [11], [12], [9, 9], [10, 10], [11], [8, 12], [8, 8]]
[[8, 11], [4, 8, 8], [8, 12], [8, 8], [6, 11], [8, 12], [8, 12], [8, 12], [6, 9], [11], [7, 7], [9, 11], [12], [9, 9], [10, 10], [], [], [], [6, 11], [10, 10], [3, 12]]
[[4, 8, 8], [8, 12], [8, 8], [8, 8], [8, 12], [8, 12], [9, 11], [10, 10], [6], [9, 11], [10, 10], [6, 12], [], [9, 11], [7, 7], [12], [12], [9, 11], [], [], [3], [6, 11]]
[[8, 8], [8, 8], [3, 10], [4, 12], [11], [6, 12], [9, 9], [8, 8], [6, 12], [8], [10], [10], [11], [6, 12], [11], [12], [9, 9], [11], [11], [7, 7], [10], [12], [8, 8]]
[[8, 10], [8, 8], [8, 8], [3, 12], [4, 10], [6, 8], [12], [8, 10], [8, 10], [11], [12], [12], [9, 9], [6, 6], [11], [12], [9, 9], [7, 7], [11], [8], [11], [], [11], [12]]
[[3, 10], [8, 9], [6, 9], [6, 11], [7, 8], [8], [11], [12], [10], [8], [12], [12], [12], [11], [11], [10], [11], [12], [7, 8], [12], [10], [8, 9], [8, 9], [4, 8], [6, 8]]
[[3, 12], [8, 8], [8, 8], [4, 11], [6, 10], [10], [10], [12], [10], [12], [9], [12], [9], [7, 7], [9], [11], [8, 8], [12], [8, 8], [11], [11], [9], [12], [11], [6, 6], [8]]
[[3, 12], [6, 8], [8, 8], [4, 11], [11], [10], [8, 8], [8, 8], [], [10], [9], [11], [12], [12], [9], [10], [8, 8], [11], [12], [6, 6], [12], [11], [10], [9], [7, 7], [9], [12]]
[[3, 12], [4, 12], [8, 8], [12], [6, 8], [11], [6, 9], [12], [11], [6, 10], [11], [9], [], [], [8, 8], [10], [], [10], [11], [11], [10], [12], [9], [9], [8, 8], [12], [7, 7], [8, 8]]
[[12], [4, 10], [10], [7, 7], [10], [6, 8], [6, 8], [10], [11], [8], [12], [9], [9], [8], [12], [8], [9], [9], [12], [12], [11], [12], [11], [11], [8], [11], [8], [6, 8], [3, 8]]
[[3, 8], [8], [8], [8], [6, 6], [8], [8], [9], [10], [12], [12], [9], [10], [8], [12], [4, 10], [9], [7, 7], [11], [10], [11], [12], [9], [11], [11], [11], [12], [8], [12], [6, 8]]
[[4, 10], [8], [7], [12], [11], [6, 7], [10], [10], [6, 8], [8], [12], [10], [12], [11], [12], [6, 8], [8], [12], [11], [8], [9], [12], [9], [9], [9], [8], [8], [11], [], [8], [3, 11]]
[[3, 8], [10], [8], [8], [8], [12], [8], [11], [9], [7], [9], [8], [12], [9], [8], [11], [12], [10], [12], [10], [12], [6], [7], [12], [11], [6, 6], [11], [10], [8], [9], [11], [4, 8]]
[[4, 7], [10], [8], [10], [8], [8], [9], [8], [8], [10], [9], [8], [11], [11], [11], [8], [9], [11], [12], [6, 6], [9], [8], [], [11], [12], [6, 7], [12], [], [12], [12], [12], [10], [3, 8]]
[[3, 8], [8], [10], [6], [8], [7], [8], [11], [11], [9], [10], [11], [11], [9], [], [8], [8], [12], [12], [9], [10], [10], [8], [12], [7], [9], [8], [12], [12], [12], [8], [11], [6, 6], [4]]
[[3, 9], [9], [10], [10], [4, 6], [8], [9], [8], [8], [8], [], [12], [7], [8], [8], [8], [11], [12], [6, 6], [], [12], [12], [11], [8], [11], [11], [10], [12], [11], [7], [], [10], [12], [9], [8]]
-EndAllocation

Instance: [[1], [313], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [209, 140, 105, 84, 70, 60, 53, 46, 42, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [157, 105, 79, 63, 53, 45, 40, 35, 32, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11], [4, 4, 4, 5, 7, 7, 7, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12]]
[[10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12], [9, 9, 9, 9, 11, 11, 11, 11], [4, 4, 4, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 12], [7, 7, 7, 7, 10, 10, 10, 10], [4, 4, 4, 5, 9, 9, 9, 9, 11, 11], [11, 11, 12, 12, 12, 12, 12, 12]]
[[4, 4, 4, 9, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 12], [10, 10, 10, 10, 12], [5, 7, 7, 7], [7, 9, 9, 9, 11, 11, 11, 11]]
[[4, 4, 4, 5, 9, 12], [8, 8, 8, 8, 8, 8, 8, 8], [11, 11, 11, 11], [12, 12, 12, 12, 12], [7, 7, 7, 7, 9, 9, 9, 12], [10, 10, 10, 10]]
[[4, 4, 4, 5, 7, 10, 10, 10], [10, 12, 12], [8], [12, 12, 12, 12, 12], [11, 11, 11, 11], [7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 9], [4, 4, 4, 5, 9, 9, 12], [9, 10, 10, 10, 10], [7, 7, 7, 7], [], [8, 8, 8, 12, 12], [12, 12, 12, 12], [11, 11, 11, 11]]
[[4, 4, 4, 5, 9, 9, 9], [11, 11, 11, 11], [10, 10, 10, 10], [9, 12], [7, 7, 7, 7], [8, 8, 8], [8, 8, 8, 8, 8], [12, 12, 12], [12, 12, 12]]
[[4, 4, 4, 5, 8, 12], [8, 11, 11, 11], [10, 10, 10, 10], [11], [8, 8, 8], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8], [12, 12, 12], [12, 12, 12]]
[[4, 4, 4, 5, 12], [], [10, 11], [11, 11, 11], [10, 10, 10], [12, 12, 12], [9, 9, 9, 9], [7, 7, 7, 7], [8, 8, 8, 8], [8, 8, 8, 8], [12, 12, 12]]
[[4, 4, 9, 9, 9], [4, 5, 9, 10], [11, 11, 12], [11, 12, 12], [8, 8, 8, 8], [], [], [10, 10, 10], [12, 12, 12], [8, 8, 8, 8], [7, 7, 7], [7, 11, 12]]
[[4, 4, 4, 5, 12], [11, 11, 11], [], [8, 8, 8, 8], [10], [12, 12], [11], [7, 7, 7, 7], [8, 8, 8, 8], [12, 12], [9, 9, 9], [9, 12, 12], [10, 10, 10]]
[[4, 8, 8, 8], [4, 5, 8, 8], [7, 7, 7, 7], [12, 12], [9, 9, 9], [8, 8, 8], [12, 12], [], [10], [11, 11], [11, 11], [10, 10, 10], [12, 12], [4, 9, 12]]
[[4, 4, 4, 5], [10, 10], [], [9, 9, 9], [10, 10], [12, 12], [12, 12], [12, 12], [11, 11], [8, 8, 12], [9], [8, 8, 8], [11, 11], [7, 7, 7, 7], [8, 8, 8]]
[[4, 4, 4, 12], [8, 8], [12, 12], [5, 10, 10], [11, 11], [10, 10], [], [12, 12], [12, 12], [7, 9, 9], [], [7, 7, 7], [9, 9], [8, 8, 8], [11, 11], [8, 8, 8]]
[[8, 8], [8, 8, 8], [12, 12], [4, 4, 7, 10], [4, 5, 10], [11, 11], [12], [9, 9], [7], [10, 10], [12, 12], [12, 12], [7, 7], [], [9, 9], [11, 11], [8, 8, 8]]
[[4, 4, 4, 8], [7], [10, 10], [11, 11], [12, 12], [], [5, 11], [7, 7, 7], [12, 12], [10, 10], [8, 8, 8], [9, 9], [11], [12, 12], [9, 9], [], [8, 8, 8], [8, 12]]
[[5, 8, 8], [8, 8], [8, 8], [9, 12], [], [8, 8], [9, 12], [12], [12], [9, 12], [7, 7, 7], [], [7, 10], [10, 12], [9, 12], [11, 11], [11, 11], [10, 10], [4, 4, 4]]
[[4, 8, 8], [5, 11], [4, 12], [11], [12], [11], [10, 10], [12], [11], [8, 8], [12], [7, 7, 7], [9, 9], [12], [12], [9, 9], [10, 10], [8, 8], [7, 12], [4, 8, 8]]
[[4, 8, 8], [8, 8], [5, 7, 7], [8, 8], [12], [11], [9, 11], [8, 8], [9, 9], [12], [7, 7], [12], [], [10, 10], [10, 10], [9, 11], [12], [12], [11], [12], [4, 4, 12]]
[[4, 8, 8], [4, 4, 8], [8, 8], [], [5, 12], [8, 8], [11], [10, 10], [7, 11], [11], [10, 10], [9, 9], [12], [], [7, 11], [12], [9, 9], [12], [12], [7, 7], [12], [8, 12]]
[[5, 11], [8, 8], [8, 8], [12], [7, 11], [12], [12], [8, 8], [9, 9], [10], [12], [10], [11], [8, 8], [9, 9], [7, 11], [12], [12], [10], [7, 7], [10], [4, 4, 4], [12]]
[[8, 8], [8, 8], [4, 10], [4, 11], [12], [12], [10], [11], [8], [9, 9], [4, 8], [11], [10], [12], [12], [10], [12], [7, 7], [11], [12], [9, 9], [7, 7], [5, 12], [8, 8]]
[[8, 8], [8, 8], [5, 11], [11], [7, 9], [12], [7, 9], [9], [10], [12], [11], [10], [12], [8, 8], [12], [], [10], [12], [7, 7], [10], [12], [12], [4, 11], [4, 4, 9], [8, 8]]
[[8, 8], [8, 8], [4, 4, 4], [5, 12], [7, 7], [11], [9], [12], [12], [9], [11], [12], [11], [12], [9], [10], [8, 8], [10], [10], [11], [12], [9], [7, 7], [10], [12], [8, 8]]
[[4, 9], [4, 4, 5], [8, 8], [11], [11], [10], [8, 8], [12], [], [7, 7], [9], [11], [12], [12], [11], [10], [8, 8], [12], [7], [12], [12], [10], [10], [9], [12], [7, 9], [8, 8]]
[[4, 4, 4], [8, 8], [8, 8], [12], [11], [7, 7], [8, 8], [12], [10], [9], [11], [9], [11], [12], [8, 8], [10], [12], [10], [9], [7, 7], [10], [12], [9], [11], [5], [12], [12], []]
[[11], [8], [5, 8], [7, 7], [4, 9], [12], [12], [8], [10], [9], [10], [11], [7, 7], [10], [4, 9], [8], [12], [11], [12], [8], [10], [12], [8], [11], [9], [8], [12], [12], [4, 8]]
[[11], [4, 8], [5, 8], [7, 7], [11], [8], [8], [12], [9], [9], [12], [9], [8], [10], [8], [12], [8], [12], [12], [10], [11], [10], [10], [11], [12], [12], [8], [9], [4, 4], [7, 7]]
[[4, 9], [4, 5], [12], [8], [8], [12], [12], [8], [8], [10], [12], [9], [10], [12], [11], [10], [], [11], [8], [8], [11], [8], [12], [11], [9], [8], [7, 7], [7, 7], [12], [9], [4, 10]]
[[8], [5, 8], [4, 9], [7], [8], [8], [9], [11], [12], [12], [7], [8], [12], [9], [8], [11], [12], [12], [10], [10], [12], [10], [8], [12], [11], [7], [11], [10], [7], [9], [8], [4, 4]]
[[10], [4, 8], [5, 8], [10], [8], [8], [8], [7], [10], [7], [12], [11], [11], [12], [8], [9], [11], [12], [12], [8], [9], [9], [7], [8], [11], [9], [12], [], [7], [12], [12], [10], [4, 4]]
[[4, 4], [8], [10], [8], [10], [], [8], [7], [11], [12], [9], [11], [11], [], [7], [11], [8], [9], [12], [9], [10], [10], [12], [12], [9], [7], [12], [12], [8], [12], [7], [8], [5, 8], [4, 8]]
[[4, 8], [8], [8], [8], [5], [8], [8], [12], [8], [9], [9], [12], [7], [9], [12], [7], [4], [12], [11], [9], [8], [10], [11], [10], [], [], [12], [7], [11], [12], [11], [10], [12], [10], [4, 7]]
-EndAllocation

Instance: [[1], [312], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [7, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [6, 9, 12, 12, 12, 12, 12, 12, 12], [7, 10, 11, 12, 12, 12, 12, 12, 12]]
[[], [5, 9, 10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11], [12, 12, 12, 12, 12, 12, 12], [7, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 9, 12, 12], [12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 11], [12, 12, 12, 12, 12]]
[[], [7, 9, 12, 12, 12], [5, 6, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 11, 12, 12, 12]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [6, 7, 10, 12, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12]]
[[], [7, 12, 12], [6, 12, 12, 12], [5, 5, 5, 5, 10, 11], [12, 12, 12], [12, 12, 12], [12, 12, 12], [9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [7, 9, 12, 12], [12, 12, 12], [12, 12, 12], [6, 11, 12, 12], [12], [5, 5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12]]
[[], [5, 5, 5, 5, 7, 9], [12, 12, 12], [12, 12, 12], [5, 5, 10, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [], [6, 12, 12], [12, 12, 12]]
[[12], [6, 7, 9, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [10, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [7, 12, 12], [12], [9, 11, 12], [6, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 10, 12]]
[[], [5, 5, 5, 5, 5, 5], [6, 10], [12, 12], [7, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [9, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 9], [10, 11], [12, 12], [12, 12], [7, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [6]]
[[], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 6], [7, 12], [5, 5, 5, 5, 5], [12, 12], [10, 12], [12], [9, 11], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 7], [12, 12], [], [12, 12], [], [5, 5, 5, 5, 5], [12], [10, 12], [5, 6, 12], [12, 12], [9, 12], [11, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5]]
[[], [11, 12], [12, 12], [7, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [6, 12], [10], [12, 12], [12, 12], [12, 12], [], [9], [12, 12], [5, 5, 5, 5], [5], [12, 12]]
[[12], [12], [5, 6, 11], [5, 5, 5, 5], [5, 5, 12], [9, 12], [7, 12], [5, 5, 12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [10, 12]]
[[12], [12], [12], [5, 5, 10], [5, 12], [12], [11], [12], [5, 12], [7, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [6, 12], [5, 12], [5, 12], [5, 5, 9]]
[[12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [12], [5, 12], [6, 12], [5, 12], [9], [12], [5, 12], [5, 5, 10], [5, 12], [11], [12], [12], [7, 12], [5, 12]]
[[12], [12], [12], [9, 11], [12], [10], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5, 5], [6, 12], [12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12], [7, 12], [12], [12]]
[[12], [12], [12], [5, 5, 7], [12], [5, 12], [5, 12], [6, 12], [5, 5, 5], [12], [12], [12], [5, 11], [12], [12], [12], [5, 12], [5, 12], [9], [5, 5, 5], [12], [10], [12]]
[[10], [12], [6], [7], [5, 12], [12], [12], [12], [12], [12], [5, 9], [5, 12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [5, 12], [11], [5, 12], [12], [12], [12], [5, 5, 5]]
[[12], [10], [5, 5, 5], [5, 5, 5], [12], [5, 12], [5, 5, 5], [6, 11], [12], [12], [12], [12], [12], [12], [9], [12], [12], [12], [12], [12], [12], [7], [12], [12], [5, 5, 5]]
[[12], [12], [5, 5, 5], [5, 5, 5], [5, 7], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [9], [12], [12], [11], [5, 5, 5], [12], [12], [12], [12], [6], [10], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [11], [6], [5, 5, 5], [10], [5, 9], [12], [12], [12], [], [5, 5, 5], [12], [12], [5, 5, 5], [5, 7], [12], [5, 5], [12], [12], [12]]
[[12], [12], [12], [12], [9], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [5, 10], [12], [7], [12], [12], [11], [12], [12], [12], [5, 5, 5], [12], [6], [], []]
[[12], [12], [12], [5, 5], [12], [10], [12], [6], [], [12], [12], [5, 5], [5, 5], [12], [5, 5], [12], [12], [11], [12], [9], [12], [12], [12], [5, 7], [12], [5, 5], [5, 5], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5], [12], [12], [5], [9], [12], [5, 5], [5, 5], [6], [12], [11], [5, 5], [], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [7], [10]]
[[12], [5, 5], [12], [12], [12], [12], [5], [12], [5, 5], [12], [12], [], [12], [7], [12], [], [12], [12], [6], [5, 5], [12], [11], [5, 5], [9], [5, 5], [10], [5, 5], [12], [12], [12], [12]]
[[], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5], [12], [5, 5], [12], [12], [12], [12], [6], [], [11], [12], [5, 5], [12], [12], [12], [12], [9], [], [5, 5], [12], [7], [5, 5], [10]]
[[7], [12], [], [5], [12], [5, 5], [5, 5], [], [12], [12], [11], [12], [10], [12], [6], [12], [], [12], [5, 5], [5, 5], [9], [12], [12], [5, 5], [12], [12], [12], [], [12], [12], [12], [5, 5], [12]]
[[9], [12], [12], [5, 5], [12], [10], [11], [7], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [], [12], [5, 6], [12], [12], [12], [5, 5], [12], [], [12], [], [12], [5, 5], [], [12], [], [5, 5], []]
[[], [5, 5], [12], [5, 6], [12], [12], [], [12], [12], [12], [], [], [5, 5], [5, 5], [9], [], [7], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [], [12], [12], [], [10], [12], [12], [12]]
-EndAllocation

Instance: [[1], [311], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [208, 138, 104, 84, 69, 60, 52, 46, 42, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [156, 104, 78, 63, 52, 45, 39, 35, 32, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 12, 12, 12], [5, 7, 7, 7, 9, 9, 9, 10, 10, 10, 10, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12], [6, 6, 6, 6, 9, 9, 9, 10, 10, 10, 10], [5, 7, 7, 7, 11, 11, 11, 11, 11, 11, 12, 12, 12]]
[[10, 12], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 9, 9, 9, 10, 10, 10, 12], [5, 11, 11, 11, 11, 11, 11, 12, 12]]
[[7, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 12, 12, 12, 12], [11, 11, 11, 11, 11, 11], [5, 6, 6, 6, 6]]
[[5, 10, 10, 10, 10, 12], [6, 6, 6, 6, 7, 7, 7], [9, 9, 9, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8], [11, 11, 11, 11, 11, 11]]
[[5, 6, 6, 6, 6, 8, 8, 8], [], [9, 9, 9, 11], [11, 11, 11, 11, 11], [10, 10, 10, 10, 12], [7, 7, 7, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8]]
[[5, 10, 10, 10, 10], [8, 8, 8, 8], [9, 9, 9], [12, 12, 12, 12], [6, 6, 6, 6], [8, 8, 8, 8, 8, 8], [7, 7, 7, 11, 11], [11, 11, 11, 11]]
[[5, 8, 8, 8, 8, 8], [9, 9, 9], [10, 10, 10, 10], [11, 11], [6, 6, 6, 6], [7, 7, 7, 12], [8, 8, 8, 8, 8], [12, 12, 12], [11, 11, 11, 11]]
[[5, 8, 8, 8, 8], [6, 6, 6, 12, 12], [10, 10, 10, 10], [6, 11, 11, 11], [11, 11, 11], [], [9, 9, 9], [8, 8, 12, 12], [8, 8, 8, 8], [7, 7, 7]]
[[5, 8, 8, 8, 8], [7, 8, 8], [11, 11, 11], [8, 8, 8, 8], [10, 10, 10], [12, 12, 12], [6, 6, 6, 6, 7, 7], [], [11, 11, 11], [9, 9, 9], [10, 12]]
[[5, 7, 7, 7], [12, 12], [11, 11, 11], [9, 9, 9], [12, 12], [8, 8], [8, 8, 8, 8], [10, 10, 10], [6, 6, 6, 6, 10], [], [11, 11, 11], [8, 8, 8, 8]]
[[5, 8, 8, 9], [9, 11, 11], [10], [6, 6, 6, 6], [9, 11, 11], [12, 12], [8, 8, 8, 8], [8, 8, 8, 8], [], [11, 11], [7, 7, 7], [12, 12], [10, 10, 10]]
[[5, 6, 8], [8, 8, 8], [6, 12, 12], [7, 7, 7], [8, 8, 8], [9, 9, 9], [12, 12], [], [10], [11, 11], [11, 11], [10, 10, 10], [6, 11, 11], [6, 8, 8, 8]]
[[8], [5, 7, 11], [12, 12], [7, 7, 11], [10, 10], [10, 10], [], [12, 12], [11, 11], [8, 8, 8], [11, 11], [9, 9, 9], [8, 8, 8], [6, 6, 6, 6], [8, 8, 8]]
[[5, 8, 10], [8, 8, 8], [12, 12], [6, 10, 10], [6, 6, 6], [10], [], [12, 12], [8, 8, 8], [8, 8, 8], [11, 11], [7, 7, 7], [9], [11, 11], [11, 11], [9, 9]]
[[5, 10, 10], [11, 11], [8, 8, 8], [6, 6, 6], [11, 11], [7, 7, 7], [], [8, 8, 8], [], [6, 9, 9], [12, 12], [12, 12], [9], [11, 11], [8, 8, 8], [10, 10], [8]]
[[5, 8, 11], [6, 6, 6, 6], [8, 8], [8, 11], [11, 12], [11, 12], [12, 12], [8, 8], [10, 10], [10, 10], [9], [9, 9], [], [7, 7, 7], [11], [11], [8, 8], [8, 8]]
[[5, 8, 8], [6, 8, 8], [11, 11], [6], [8, 8], [12], [12], [12], [6, 8, 8], [9, 9], [7, 7, 7], [], [10, 10], [12], [9], [10, 10], [11, 11], [11, 11], [6, 8, 8]]
[[5, 8, 8], [8, 8], [8, 8], [12], [12], [9], [6, 11], [11], [10, 11], [7, 7, 7], [11], [12], [8, 8], [11], [10, 10], [6, 6, 6], [9, 9], [10, 11], [12], [8, 8]]
[[6, 6, 7], [8, 8], [8, 8], [6, 11], [5, 12], [8, 8], [9, 9], [6, 12], [7, 7], [10, 10], [9], [10, 10], [12], [8, 11], [11], [8, 11], [11], [], [11], [12], [8, 8]]
[[8, 8], [12], [8, 8], [5, 12], [6, 7], [7, 7], [10, 10], [12], [6, 6, 6], [11], [8, 11], [8, 12], [11], [9, 9], [10, 10], [], [8, 8], [11], [11], [9], [11], [8, 8]]
[[11], [8, 8], [8, 8], [5, 11], [6, 10], [8, 8], [6, 12], [8, 8], [10], [11], [11], [12], [], [10], [7, 10], [12], [9], [8, 8], [9, 9], [6, 11], [6, 11], [12], [7, 7]]
[[8, 8], [8, 8], [8, 8], [5, 11], [12], [6, 6], [7, 10], [11], [10], [6, 10], [9], [10], [9], [12], [11], [8, 8], [9], [12], [12], [11], [11], [6, 11], [7, 7], [8, 8]]
[[], [8, 8], [8, 8], [5, 6, 6], [12], [12], [6, 11], [8, 8], [12], [12], [11], [10], [10], [11], [6, 9], [9], [11], [11], [8, 8], [7, 7], [11], [10], [9], [7, 10], [8, 8]]
[[12], [5, 6], [6, 10], [8, 8], [8, 8], [11], [7, 9], [6, 6], [7, 9], [11], [7, 9], [8, 8], [10], [11], [10], [11], [12], [11], [12], [], [], [12], [8, 8], [11], [8, 8], [10]]
[[5, 6], [6, 10], [8, 8], [9], [10], [9], [9], [7, 7], [12], [10], [12], [11], [11], [], [11], [11], [6, 6], [12], [11], [12], [8, 8], [11], [10], [8, 8], [8, 8], [7], [8, 8]]
[[6, 6], [8, 8], [8, 8], [9], [10], [7, 7], [9], [12], [11], [10], [11], [6, 6], [11], [], [11], [11], [7], [8, 8], [10], [10], [8, 8], [12], [9], [11], [12], [8], [12], [5, 8]]
[[7, 7], [5, 9], [8], [11], [9], [12], [10], [7], [6, 8], [6, 8], [11], [10], [6, 8], [10], [11], [11], [6, 8], [8], [8], [8], [12], [8], [9], [11], [8], [11], [12], [10], [12]]
[[11], [10], [7], [12], [6, 8], [9], [12], [10], [10], [9], [6, 8], [11], [11], [9], [11], [12], [8], [7, 7], [8], [8], [8], [10], [11], [6, 6], [8], [8], [8], [11], [5, 8], [12]]
[[8], [5, 8], [8], [10], [12], [6, 6], [6, 8], [12], [10], [10], [8], [12], [11], [7], [11], [11], [11], [7], [11], [12], [9], [8], [8], [8], [9], [7], [8], [9], [6, 8], [11], [10]]
[[5, 8], [9], [6, 7], [8], [8], [8], [6, 7], [], [9], [7], [9], [12], [11], [10], [10], [11], [8], [10], [12], [10], [11], [8], [8], [12], [11], [8], [12], [11], [11], [8], [8], [6, 6]]
[[8], [], [8], [10], [6, 7], [8], [8], [10], [8], [10], [6, 7], [11], [11], [12], [11], [11], [11], [8], [12], [8], [9], [7], [8], [11], [12], [9], [6, 6], [12], [9], [8], [10], [8], [5]]
[[6, 7], [8], [8], [9], [8], [10], [8], [9], [11], [11], [10], [6], [12], [], [7], [11], [8], [6, 6], [12], [], [10], [11], [8], [9], [11], [12], [11], [8], [10], [12], [8], [7], [8], [5, 8]]
[[8], [7], [11], [6, 6], [8], [8], [7], [8], [9], [7], [8], [9], [12], [8], [11], [12], [6], [12], [10], [8], [8], [10], [11], [10], [12], [9], [10], [8], [11], [], [11], [11], [5, 6], [], [8]]
-EndAllocation

Instance: [[1], [310], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [206, 138, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [155, 104, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11], [4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9], [10, 12, 12, 12, 12, 12, 12], [4, 4, 6, 6, 6, 7, 7, 11, 11, 11, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12], [9, 9, 9, 9, 9], [10, 11, 11, 11, 11, 11], [4, 4, 6, 6, 6, 7, 7, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12, 12, 12], [6, 6, 6, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [11, 11, 11, 11, 11], [4, 4, 7, 7, 8, 9, 9, 9, 9, 9]]
[[4, 4], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 10, 12, 12, 12], [8, 8, 8, 12, 12, 12], [11, 11, 11, 11, 11]]
[[4, 4, 10], [11, 11, 11, 11, 11], [8, 8, 8, 8], [9, 9, 9, 9, 9], [12, 12, 12, 12, 12], [6, 6, 6, 7, 7, 12], [8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8], [10, 12, 12], [6, 6, 6, 7, 7], [12, 12, 12, 12], [11], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [4, 11, 11, 11, 11]]
[[9, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10], [12, 12, 12], [7, 7, 12, 12], [8, 11], [8, 8, 8, 8, 8], [4, 4, 6, 6, 6, 12], [11, 11, 11, 11]]
[[8, 8, 8, 8, 8], [4, 4, 11, 11, 11], [6, 6, 6], [12, 12, 12], [9, 9, 9, 9], [12, 12, 12], [8, 8, 8, 8, 8], [11, 11], [7, 7, 8], [9, 10]]
[[4, 4, 8, 8, 8], [12], [10], [6, 6, 6], [8, 8, 8, 8], [12, 12, 12], [11, 11, 11], [9, 9, 9, 9], [8, 8, 8, 8], [7, 7, 12, 12], [9, 11, 11]]
[[6, 8, 8, 8], [4, 4, 12], [10], [8, 8, 8, 8], [11, 11], [8, 8, 8, 8], [9, 9, 9], [11, 11, 11], [6, 6, 7, 7], [12, 12], [12, 12], [9, 9, 12]]
[[4, 4, 8, 8, 8], [11, 11], [6, 6, 6, 7, 7], [9, 9, 12], [12, 12], [12], [8, 8, 8, 8], [8, 8, 8, 8], [11, 11], [11], [9, 9, 9], [12, 12], [10]]
[[6, 6, 8, 8], [4, 4, 8, 8], [8, 11, 11], [12, 12], [8, 8, 8], [9, 9, 12], [11, 11], [9, 9, 9], [12], [12, 12], [10], [7, 7], [11], [6, 8, 8, 8]]
[[4, 4, 8, 8], [8, 10], [11, 12], [11, 11], [], [6, 6, 6, 9], [], [12, 12], [11, 11], [8, 8, 8], [8, 8, 8], [9, 9, 9], [12, 12], [7, 7, 9], [8, 8, 12]]
[[8, 8, 8], [9, 9], [12, 12], [10], [11, 11], [11, 11], [12, 12], [9, 12], [9, 9], [6, 6, 6], [8, 8, 8], [], [11], [4, 4, 8, 8], [7, 7, 12], [8, 8, 8]]
[[4, 4, 6, 6], [8, 8, 8], [6, 8, 8], [9, 12], [12, 12], [8, 8, 8], [12], [9, 9], [], [9, 9], [11], [11, 11], [8, 8, 8], [12, 12], [11, 11], [7, 7], [10]]
[[4, 4, 7, 7], [6, 6, 6], [8, 8], [9, 11], [], [], [12, 12], [9, 9], [11, 11], [11, 11], [8, 8, 8], [10], [], [12, 12], [12, 12], [8, 8, 8], [9, 9], [8, 8, 8]]
[[4, 8, 8], [11, 11], [8, 8], [9, 12], [12], [12], [9, 9], [12], [12], [9, 9], [6, 6, 6], [11], [12], [8, 8], [7, 7, 8], [10], [8, 8], [11, 11], [4, 8, 8]]
[[4, 8, 8], [8, 8], [8, 8], [7, 12], [7, 12], [9, 9], [9, 12], [9, 11], [11], [9, 12], [12], [], [11], [10], [12], [6, 6, 6], [11], [8, 11], [8, 8], [4, 8, 8]]
[[4, 4, 8], [8, 8], [8, 8], [8, 8], [6, 11], [6, 12], [9, 11], [9, 9], [6, 12], [12], [8, 8], [11], [11], [7, 7], [12], [10], [11], [9, 9], [12], [12], [8, 8]]
[[4, 4, 11], [8, 8], [8, 8], [7, 12], [9, 11], [8, 8], [12], [8, 8], [11], [12], [10], [9, 9], [12], [], [11], [], [9, 9], [6, 6, 6], [12], [7, 12], [8, 11], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 4, 6], [6], [11], [9], [8, 8], [12], [6, 12], [11], [12], [12], [7, 7], [8, 10], [11], [12], [9, 9], [9, 9], [11], [12], [11], [8, 8]]
[[4, 11], [9], [6, 9], [8, 8], [6, 6], [10], [8, 8], [8, 8], [12], [12], [11], [12], [12], [11], [12], [8, 8], [9], [7, 7], [12], [9], [11], [4, 11], [8, 9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 4, 9], [7, 9], [6, 6], [12], [7], [9], [11], [9], [12], [11], [11], [6, 9], [11], [12], [10], [8], [12], [8, 8], [11], [12], [12], [8, 8]]
[[4, 9], [8, 8], [7, 8], [8, 8], [8], [7, 9], [12], [9], [9], [12], [11], [6], [12], [11], [11], [10], [8, 8], [4, 8], [8, 8], [11], [12], [11], [6, 6], [12], [9], [12]]
[[4, 9], [8, 8], [8, 8], [11], [11], [], [8, 8], [8], [12], [9], [9], [9], [12], [12], [11], [9], [4, 6, 6], [7, 7], [11], [12], [12], [], [11], [6, 10], [8, 8], [12], [8, 8]]
[[8, 8], [6, 9], [8, 8], [9], [12], [7, 7], [8], [12], [], [], [11], [6, 6], [], [11], [11], [12], [9], [9], [11], [9], [10], [11], [12], [8, 8], [4, 12], [4, 12], [8, 8], [8, 8]]
[[7, 7], [4, 8], [12], [6, 8], [10], [6, 8], [9], [9], [11], [11], [8], [8], [8], [8], [12], [12], [12], [8], [11], [8], [8], [12], [9], [11], [9], [12], [6, 8], [11], [4, 9]]
[[4, 9], [4, 9], [9], [8], [12], [8], [8], [11], [12], [11], [8], [12], [11], [9], [8], [8], [11], [8], [8], [7, 7], [8], [12], [10], [12], [11], [12], [6, 6], [8], [9], [6, 8]]
[[12], [4, 9], [8], [9], [6, 7], [12], [8], [8], [8], [12], [9], [12], [9], [10], [12], [8], [11], [8], [12], [11], [11], [11], [8], [6], [6, 7], [11], [8], [8], [8], [8], [4, 9]]
[[4, 8], [6, 6], [6, 7], [8], [10], [8], [8], [11], [8], [12], [8], [8], [7], [9], [12], [11], [12], [12], [8], [9], [9], [11], [9], [12], [11], [12], [11], [], [8], [9], [8], [4, 8]]
[[4, 8], [8], [8], [10], [7], [8], [8], [8], [8], [9], [11], [12], [8], [8], [6, 6], [7], [12], [11], [11], [12], [9], [12], [12], [11], [12], [9], [], [8], [9], [11], [4, 8], [9], [6]]
[[11], [4, 8], [8], [8], [], [8], [8], [6, 7], [6, 6], [8], [], [11], [12], [9], [12], [11], [8], [12], [12], [9], [8], [10], [11], [12], [9], [], [9], [9], [12], [11], [8], [7], [4, 8], [8]]
[[11], [4, 8], [8], [12], [9], [8], [8], [8], [9], [12], [8], [9], [8], [8], [11], [12], [7], [9], [10], [8], [12], [6, 6], [], [7], [11], [9], [8], [], [11], [11], [6], [], [12], [12], [4, 8]]
-EndAllocation

Instance: [[1], [309], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [206, 137, 104, 82, 69, 60, 52, 46, 41, 38, 34, 32, 30, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [155, 103, 78, 62, 52, 45, 39, 35, 31, 29, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[6, 6, 6, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11], [5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9], [10, 10, 10, 10, 12, 12, 12, 12], [5, 5, 6, 6, 6, 7, 7, 11, 11, 11, 11, 11]]
[[5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10, 11, 11, 11, 11, 11], [6, 6, 6, 7, 7, 12, 12, 12, 12]]
[[5, 5, 12, 12, 12, 12], [6, 6, 6, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [11, 11, 11, 11, 11], [7, 7, 8, 9, 9, 9, 9]]
[[5, 5, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 9, 9, 9, 9], [6, 6, 6, 12, 12, 12, 12], [8, 8, 8], [11, 11, 11, 11, 11]]
[[5, 5, 10, 10, 10, 10], [11, 11, 11, 11, 11], [8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12, 12], [6, 6, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8]]
[[5, 5, 10, 10, 10, 11], [10], [6, 6, 6, 7, 7], [12, 12, 12, 12], [8, 8, 8, 8, 8], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [11, 11, 11, 11]]
[[5, 5, 9, 9, 9, 9], [8, 8, 8, 8, 8], [10, 10, 10, 10], [], [7, 7, 11], [8, 8, 8, 8, 8], [6, 6, 6, 8, 12], [12, 12, 12], [11, 11, 11, 11]]
[[5, 8, 8, 8, 8], [11, 11, 12], [6, 6, 6], [12, 12, 12], [9, 9, 9, 9], [], [8, 8, 8, 8, 8], [11, 11, 11], [8, 8, 10, 10], [5, 7, 7, 10, 10]]
[[5, 8, 8, 8, 8], [5], [10, 10, 10], [6, 6, 6, 10], [8, 8, 8], [12, 12, 12], [7, 7, 11, 11], [9, 9, 9, 9], [8, 8, 8, 8], [12], [11, 11, 11]]
[[8, 8, 8, 8], [5, 5], [10, 10, 10], [8, 8, 8], [11, 11, 11], [8, 8, 8, 8], [9, 9, 9], [9, 11, 11], [6, 6, 6, 7, 7], [10], [12, 12], [12, 12]]
[[8, 8, 8, 8], [5, 5, 11, 11], [7, 7, 9], [9, 9, 9], [12, 12], [10], [8, 8, 8], [8, 8, 8, 8], [], [11, 11], [6, 6, 6, 11], [12, 12], [10, 10, 10]]
[[5, 8, 8, 8], [5, 8, 8, 8], [12, 12], [], [6, 6, 6, 8], [9, 11], [11, 11], [9, 9, 9], [], [12, 12], [10, 10, 10], [7, 7, 10], [8, 11, 11], [8, 8, 8]]
[[8, 8], [5, 10, 10], [5, 12], [11, 11], [10, 10], [11], [7, 7], [9, 12], [11, 11], [8, 8, 8], [8, 8, 8], [9, 9, 9], [12, 12], [6, 6, 6], [8, 8, 8]]
[[8, 8, 8], [5, 5, 9], [12, 12], [10, 10], [10, 10], [11, 11], [12, 12], [9], [9, 9], [6, 6, 6], [8, 8], [], [11, 11], [8, 8, 8], [7, 7, 11], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [5, 5, 11], [10, 10], [12, 12], [8, 8], [], [9, 9], [], [9, 9], [12, 12], [11, 11], [8, 8, 8], [6, 6, 6], [11, 11], [7, 7], [10, 10]]
[[5, 5, 8], [7, 7, 8], [11, 11], [], [], [], [12, 12], [9, 9], [11], [11, 11], [8, 8, 8], [6, 6, 6], [10, 10], [12, 12], [10, 10], [8, 8, 8], [9, 9], [8, 8, 8]]
[[5, 8, 8], [5, 8, 8], [7, 7], [], [11], [9, 12], [9, 9], [12], [], [9, 12], [6, 6, 8], [11, 11], [10, 10], [11, 11], [8, 8], [10, 10], [8, 8], [12], [6, 8, 8]]
[[5, 8, 8], [5, 8, 8], [8, 8], [7, 12], [11], [9, 9], [11], [11], [10, 10], [6, 6, 6], [12], [], [7, 12], [10, 10], [11], [9, 9], [12], [8, 11], [8, 8], [8, 8]]
[[8, 8], [8, 8], [8, 8], [8, 8], [5, 5], [12], [12], [9, 11], [6, 6, 6], [11], [8, 8], [12], [11], [7, 7], [10, 10], [10, 10], [12], [9, 9], [11], [9, 11], [8]]
[[5, 5, 8], [8, 8], [8, 8], [10, 10], [], [8, 8], [11], [8, 8], [7, 11], [], [10, 10], [9, 9], [11], [], [11], [12], [9, 9], [8, 12], [12], [8, 12], [7, 11], [6, 6, 6]]
[[5, 11], [6, 6, 6], [8, 8], [5, 11], [10], [8, 8], [12], [8, 9], [9], [12], [10], [8, 8], [12], [10], [7, 7], [11], [12], [9, 9], [10], [11], [11], [8, 8], [8, 8]]
[[8], [8, 8], [8, 8], [5, 11], [5, 10], [6, 10], [8, 8], [9], [9], [6, 11], [6, 9], [12], [11], [11], [11], [8, 8], [12], [7, 7], [12], [10], [9], [10], [12], [8, 8]]
[[5, 8], [8, 8], [8, 8], [11], [7, 7], [10], [11], [6, 10], [9], [11], [], [12], [10], [9], [6, 9], [6, 11], [11], [10], [8, 8], [9], [8, 8], [12], [12], [5, 12], [8, 8]]
[[10], [8, 8], [8, 8], [7, 7], [9], [11], [10], [8], [6, 9], [11], [11], [10], [12], [11], [10], [6, 6], [8, 8], [11], [8, 8], [9], [12], [12], [9], [12], [8, 8], [5, 5]]
[[5, 9], [5, 8], [8, 8], [11], [8, 8], [8, 8], [8, 8], [10], [], [10], [9], [11], [12], [9], [11], [11], [6, 6], [12], [], [12], [12], [10], [10], [6, 9], [11], [7, 7], [8, 8]]
[[8, 8], [8, 8], [8, 8], [11], [12], [7, 8], [6, 9], [12], [11], [], [11], [6, 6], [], [11], [10], [12], [], [10], [11], [9], [10], [9], [8, 8], [8, 8], [7, 9], [12], [10], [5, 5]]
[[5, 9], [12], [6, 8], [9], [10], [8], [10], [6, 8], [6, 8], [8], [8], [7, 7], [11], [8], [12], [9], [8], [8], [12], [9], [11], [10], [5, 8], [11], [8], [11], [12], [11], [10]]
[[5, 8], [5, 8], [10], [9], [6, 8], [9], [8], [11], [10], [11], [10], [10], [11], [12], [11], [8], [11], [8], [8], [7, 7], [12], [12], [8], [12], [8], [8], [6, 6], [9], [8], [9]]
[[5, 8], [8], [9], [11], [8], [8], [8], [9], [8], [10], [9], [11], [6, 7], [10], [12], [10], [8], [8], [12], [8], [10], [6, 6], [7], [8], [12], [11], [11], [11], [5, 8], [9], [12]]
[[9], [8], [8], [9], [10], [7], [8], [11], [9], [6, 6], [12], [8], [10], [8], [10], [11], [12], [8], [8], [10], [8], [6], [7], [12], [11], [12], [11], [9], [11], [8], [5, 8], [5, 8]]
[[5, 5], [8], [8], [9], [9], [8], [8], [6, 7], [9], [8], [11], [10], [8], [10], [10], [], [12], [7], [11], [12], [8], [12], [8], [11], [12], [8], [6, 6], [8], [9], [11], [10], [11], [8]]
[[5, 7], [8], [9], [8], [10], [8], [8], [8], [11], [8], [10], [11], [6], [], [7], [11], [], [6, 6], [12], [9], [10], [10], [12], [12], [9], [11], [8], [9], [12], [8], [8], [11], [8], [5, 8]]
[[12], [8], [8], [5, 7], [5, 7], [8], [8], [8], [9], [11], [12], [9], [8], [8], [11], [12], [], [9], [10], [8], [], [10], [10], [], [11], [9], [6, 6], [8], [11], [11], [6], [10], [12], [8], [8]]
-EndAllocation

Instance: [[1], [308], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12, 12], [12, 12, 12], [5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12], [5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [5], [5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [12, 12], [], [], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 12], [5, 12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5], [], [12], [5, 5, 5], [12], [5, 5, 5], [12]]
[[], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [5], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12]]
[[12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [], [12]]
[[], [12], [12], [12], [12], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [12], []]
[[12], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [], [5, 5], [12], [12], [12], [12], [], [5, 5], [5, 5], [], [5, 5], [12]]
[[], [], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [], [12], [5, 5], [5, 5], [], [], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5]]
[[], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [], [12], [5, 5], [], [5, 5], [], [5, 5], [12], [12], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [12]]
[[12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [], [12], [12], [5, 5], [], [], [5, 5], [12], [5, 5], [12], [], [5, 5], [5, 5], [], [5, 5], [], [], [12], [12], [12], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [307], 35]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,35. UB Alg: [205, 137, 102, 82, 69, 58, 52, 46, 41, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [154, 103, 77, 62, 52, 44, 39, 35, 31, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,35:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12], [11, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11]]
[[12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12], [5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12, 12], [12, 12, 12], [5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [5, 12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 11], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [11, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12], [], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [11, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12], [5], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [11, 12], [12, 12]]
[[], [12, 12], [], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [5], [5, 5, 5, 5, 5], [12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [11, 12]]
[[], [11, 12], [5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [12, 12], [], [], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 5, 11], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12]]
[[12], [5, 12], [11], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [11], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [5, 11], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 12], [5, 12], [11], [12], [12], [12], [12]]
[[12], [11], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12]]
[[12], [], [12], [11], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5], [], [12], [5, 5, 5], [11], [5, 5, 5], [12]]
[[], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [11], [12], [5], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [11], [5, 5], [12], [12], [5, 5], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [], [5, 5], [12], [12], [12], [12], [12], [12], [12]]
[[12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [5, 5], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12]]
[[12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [11], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [], [12]]
[[], [12], [12], [12], [12], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [], [11], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [12], []]
[[12], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [], [5, 5], [12], [12], [12], [12], [], [5, 5], [5, 5], [], [5, 5], [11]]
[[], [], [12], [12], [5, 5], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [], [12], [5, 5], [11], [5, 5], [], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5]]
[[], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [12], [], [12], [5, 5], [], [5, 5], [], [5, 5], [12], [12], [12], [5, 5], [], [5, 5], [11], [12], [12], [], [12]]
[[12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [5, 5], [], [], [5, 5], [12], [5, 5], [12], [11], [5, 5], [5, 5], [], [5, 5], [], [], [12], [12], [12], [12], [12], [12], []]
-EndAllocation

Instance: [[1], [324], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 26, 24, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 20, 18, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 6, 6, 6, 7, 7, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[9, 9, 9, 11, 11, 11, 11, 11, 11], [5, 5, 5, 6, 6, 6, 7, 7, 12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[11, 11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 7, 7, 10, 10, 10, 10], [9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[5, 7, 7, 11, 11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6], [5, 5, 12, 12, 12, 12, 12, 12], [9, 9, 9, 10, 10, 10, 10]]
[[9, 9, 9], [12, 12, 12, 12, 12, 12], [10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 6, 6, 6, 7, 7], [11, 11, 11, 11, 11, 11]]
[[6, 8, 8], [6, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 7], [9, 9, 9, 11], [12, 12, 12, 12, 12], [7, 11, 11, 11, 11, 11], [6, 10, 10, 10, 10, 12]]
[[8, 8, 8], [8, 8, 8, 8, 8, 8], [5, 5, 5, 9, 9, 9], [10, 10, 10, 10], [6, 6, 6, 11, 11, 11], [11, 11, 11], [12, 12, 12, 12], [7, 7, 12, 12]]
[[8, 8, 8, 9, 11], [8, 8, 8, 8, 8, 8], [10, 10, 10, 10], [], [12, 12, 12, 12], [5, 5, 5], [6, 6, 6, 7, 9, 9], [7, 11, 11, 11], [11, 11, 12, 12]]
[[9, 9, 9, 12], [7, 7], [8, 8, 8, 8], [6, 6, 6, 12, 12], [], [11, 11, 11, 11], [12, 12, 12], [10, 10, 10, 10], [5, 5, 5, 11, 11], [8, 8, 8, 8, 8]]
[[9, 9, 9], [11, 11, 11], [10, 10, 10, 10], [], [5, 5, 5], [8, 8, 8, 8], [12, 12, 12], [8, 8, 8, 8, 8], [11, 11, 11], [12, 12, 12], [6, 6, 6, 7, 7]]
[[8, 10], [5, 5, 5, 8, 8], [8, 8], [8, 8], [9, 9, 9], [10, 10, 10], [11, 11, 11], [12, 12, 12], [11, 11, 11], [8, 8], [6, 6, 6, 7, 7], [12, 12, 12]]
[[7, 7, 8, 9], [5, 5, 5], [8, 8, 8, 8], [], [11, 11, 11], [10, 10, 10], [6, 6, 6, 12], [10], [11, 11, 11], [12, 12], [9, 9, 12], [8, 8, 8, 8], [12, 12]]
[[12, 12], [8, 8, 8, 8], [5, 9, 9, 9], [12, 12], [7, 7], [11, 11], [8, 8, 8, 8], [10, 10, 10], [], [5, 5, 11, 11], [12, 12], [8], [11, 11], [6, 6, 6, 10]]
[[8, 8, 8], [10, 12], [11, 11], [12], [8, 8, 8], [12], [12], [11, 11], [9, 9, 9], [5, 5, 5, 12], [8, 8, 8], [7, 12], [6, 6, 6, 10], [11, 11], [7, 10, 10]]
[[8, 8, 8], [6, 6], [11, 11], [], [11, 11], [8, 8, 8], [12, 12], [12, 12], [10, 10], [9, 9, 9], [7, 7], [6, 11, 11], [5, 5, 5], [10, 10], [12, 12], [8, 8, 8]]
[[8, 8, 8], [12, 12], [6, 6, 6], [], [12, 12], [10, 10], [10, 10], [11, 11], [], [5, 5, 5], [11, 11], [11, 11], [12, 12], [8, 8, 8], [9, 9], [7, 7, 9], [8, 8, 8]]
[[8, 8, 8], [8, 8, 8], [12, 12], [11, 11], [10, 10], [8], [9], [7, 7], [], [12, 12], [11, 11], [], [10, 10], [12, 12], [5, 5, 5, 6], [11, 11], [6, 9, 9], [6, 8, 8]]
[[8, 8, 8], [11, 11], [11, 11], [9], [12, 12], [12, 12], [8], [8], [7, 7], [8, 8, 8], [12, 12], [10, 10], [5, 5, 5], [10, 10], [11, 11], [], [], [6, 9, 9], [6, 6, 8]]
[[8, 8], [12], [10, 10], [7, 11], [10, 10], [11, 11], [5, 5, 5], [12], [8], [11, 11], [12], [9, 9], [8, 12], [12], [8, 8], [8, 8], [7, 9], [12], [6, 6, 6], [8, 11]]
[[5, 8, 8], [8, 8], [11], [11], [12], [11], [12], [7, 12], [9, 11], [6, 6, 6], [11], [7, 11], [10, 10], [12], [5, 5, 8], [12], [12], [10, 10], [9, 9], [8, 8], [8, 8]]
[[8, 11], [12], [11], [5, 12], [5, 12], [9, 9], [5, 11], [8, 8], [], [8, 8], [8, 8], [8, 8], [10, 10], [11], [12], [7, 7], [12], [12], [11], [9, 11], [6, 6, 6], [10, 10]]
[[8, 8], [12], [12], [12], [7, 12], [5, 11], [5, 11], [6, 6, 6], [8, 8], [8, 8], [5, 8], [11], [9, 9], [], [11], [10, 10], [10, 10], [7, 12], [11], [8, 8], [], [9, 11], [12]]
[[8, 8], [9, 9], [10], [10], [11], [11], [10], [7, 7], [8, 8], [8, 8], [8, 8], [5, 11], [5, 12], [12], [12], [5, 11], [8, 10], [6, 6, 6], [12], [12], [9], [11], [12], [11]]
[[8], [5, 12], [10], [10], [11], [12], [8, 8], [5, 12], [8, 8], [6, 6], [12], [8, 8], [11], [11], [9], [6, 11], [7, 9], [8, 8], [9], [11], [5, 12], [12], [11], [10], [7, 10]]
[[8, 8], [9], [12], [12], [11], [12], [5, 8], [6, 6], [8, 8], [8, 8], [8, 8], [5, 9], [5, 11], [11], [9], [6, 10], [11], [7], [7, 10], [12], [12], [10], [11], [10], [12], [11]]
[[6, 10], [], [12], [11], [8, 8], [10], [5, 10], [5, 9], [8, 8], [6, 8], [8, 8], [6, 10], [], [5, 11], [12], [12], [12], [9], [9], [11], [12], [11], [7, 7], [11], [11], [8, 8], [12]]
[[8, 8], [9], [12], [9], [7, 7], [], [11], [6, 10], [8, 8], [11], [6, 8], [11], [10], [8, 8], [5, 5, 5], [], [11], [11], [8, 8], [12], [12], [10], [12], [11], [12], [12], [6, 9], [10]]
[[6, 6], [11], [12], [7], [6, 9], [8], [5, 11], [11], [8, 8], [8, 8], [8, 8], [10], [10], [5, 5], [], [10], [11], [12], [11], [12], [10], [], [12], [7, 9], [12], [9], [11], [8, 8], [12]]
[[10], [10], [12], [12], [11], [9], [5, 8], [6, 8], [12], [12], [5, 8], [8], [6, 8], [8], [12], [12], [6, 8], [], [11], [11], [7, 7], [5, 8], [11], [11], [11], [10], [9], [8], [9], [10]]
[[10], [8], [5, 8], [5], [8], [12], [6, 8], [5, 8], [6, 6], [11], [11], [11], [12], [9], [8], [11], [12], [8], [8], [11], [8], [10], [9], [10], [11], [12], [12], [12], [10], [7, 7], [9]]
[[6, 8], [12], [9], [8], [11], [12], [11], [10], [6, 8], [12], [5, 8], [6, 8], [8], [8], [10], [8], [12], [12], [11], [], [9], [9], [12], [5, 5], [11], [10], [10], [8], [7, 7], [], [11], [11]]
[[], [8], [11], [8], [6, 6], [11], [9], [12], [8], [8], [8], [12], [8], [8], [12], [11], [12], [10], [5, 5], [5, 7], [11], [6, 7], [9], [9], [8], [10], [12], [10], [11], [10], [8], [12], [11]]
[[12], [9], [11], [8], [10], [10], [8], [8], [5, 8], [8], [7], [], [8], [8], [8], [6, 6], [11], [12], [9], [8], [10], [11], [7], [11], [11], [9], [12], [6], [12], [10], [12], [11], [12], [5, 5]]
[[8], [11], [11], [8], [12], [11], [10], [10], [8], [6], [6, 7], [5, 8], [6], [8], [], [5, 5], [9], [9], [9], [12], [8], [12], [11], [8], [11], [], [10], [12], [10], [12], [7], [8], [8], [12], [11]]
[[8], [10], [11], [7], [12], [11], [11], [], [6, 6], [8], [8], [8], [8], [5, 6], [8], [12], [10], [10], [12], [12], [11], [8], [], [11], [11], [9], [8], [12], [9], [8], [5, 5], [10], [12], [], [7], [9]]
-EndAllocation

Instance: [[1], [323], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [216, 144, 108, 86, 72, 62, 54, 48, 44, 40, 36, 33, 32, 29, 28, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [162, 108, 81, 65, 54, 47, 41, 36, 33, 30, 27, 25, 24, 22, 21, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10], [2, 3, 4, 6, 7, 7, 7, 7, 7, 7, 9, 9, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[10, 10, 10, 10], [2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 11, 11, 11, 12, 12, 12, 12], [8, 8, 8, 8, 9, 9, 10, 10, 10, 12, 12, 12, 12, 12]]
[[12], [3, 6, 10, 10, 10, 10, 10, 10, 10, 12, 12], [4, 7, 7, 7, 7, 7, 7, 9, 9, 12, 12, 12], [2, 5, 8, 8, 8, 8, 11, 11, 11, 12, 12, 12]]
[[], [8, 8, 8, 8, 10, 10, 11, 11, 11], [2, 3, 4, 9, 9, 10, 10, 10, 10, 10], [5, 6, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 7, 7, 12, 12, 12]]
[[], [4, 9, 9, 12, 12, 12], [2, 3, 7, 7, 7, 7, 7, 7, 10], [8, 8, 8, 8, 10, 10, 10, 10], [12, 12, 12, 12, 12, 12], [5, 6, 10, 10, 11, 11, 11]]
[[], [5, 10, 10, 10, 10, 10], [9, 9, 10, 11, 11, 11], [3, 6, 7, 7, 7, 7, 7, 7, 8], [2, 4, 8, 8, 8], [10, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [4, 10, 12, 12, 12], [2, 12, 12, 12, 12], [8, 8, 10], [5, 7, 7, 7, 7, 7, 7], [3, 10, 10, 10, 10, 10], [8, 8, 11, 11, 11], [6, 9, 9, 12, 12]]
[[], [3, 7, 7, 7, 7, 7, 7], [2, 6, 10, 10, 10, 10], [5, 8, 8, 8, 8], [12, 12, 12, 12], [4, 9, 9, 10, 10], [12, 12, 12, 12], [12], [10, 11, 11, 11]]
[[], [3, 12, 12, 12], [10, 10, 10, 10], [2, 4, 9, 10, 10], [8, 8, 8, 8, 9], [12, 12, 12], [6, 12, 12, 12], [10], [5, 11, 11, 11], [7, 7, 7, 7, 7, 7]]
[[], [7, 10, 10, 10], [2, 3, 6, 12, 12], [12, 12, 12], [7, 7, 7, 7, 7], [11, 11, 11], [9, 9, 12], [4, 5, 12, 12], [10, 10, 10, 10], [8, 8, 8, 8], [12]]
[[], [7, 7, 7, 7, 7], [9, 9, 11], [5, 6, 10], [2, 10, 10, 12], [10, 10, 10], [7, 12, 12], [12, 12, 12], [3, 8, 8, 8, 8], [4], [12, 12, 12], [10, 11, 11]]
[[], [8, 8, 8, 8], [12, 12], [10, 10, 10], [9, 9, 11], [4, 7, 11, 11], [7, 7, 7, 7], [7, 12, 12], [10, 10, 10], [3, 10, 12], [12, 12], [2, 6, 12, 12], [5]]
[[], [], [12, 12], [12, 12], [6, 12, 12], [10, 10, 10], [5, 10, 10], [4, 12, 12], [2, 3, 11, 12], [7, 7, 9, 9], [11, 11], [7, 7, 7], [8, 8, 8, 8], [7, 10, 10]]
[[], [9, 9, 10], [7, 7, 11], [7, 7, 7, 7], [8, 8, 8], [8], [12, 12], [12], [10, 10], [5, 12, 12], [12, 12], [3, 4, 10, 10], [12, 12], [6, 11, 11], [2, 10, 10]]
[[], [12, 12], [2, 3, 6, 10], [5, 9, 9], [8, 10, 10], [4, 12, 12], [10, 10], [8, 8, 8], [12, 12], [], [7, 7, 7, 7], [11, 12], [10, 10], [7, 7], [12, 12], [11, 11]]
[[], [10, 10], [2, 12], [10, 10], [11, 11], [4, 5, 11], [8, 10], [9, 9], [12, 12], [12, 12], [12, 12], [3, 6], [7, 7, 7], [10, 10], [8, 8, 8], [7, 7, 7], [12, 12]]
[[], [8, 8, 8], [12, 12], [], [3, 7, 7, 7], [6, 12], [10, 12], [], [7, 7, 7], [11, 11], [4, 12], [9, 9], [12, 12], [10, 10], [2, 10, 10], [10, 10], [5, 8, 11], [12, 12]]
[[12], [11], [3, 8, 8], [8, 8], [12], [2, 6, 7, 7], [], [5, 12], [11, 11], [10, 12], [12], [10, 12], [12], [10, 10], [7, 12], [4, 9, 9], [10, 10], [10, 12], [7, 7, 7]]
[[12], [12], [9, 10], [7, 7, 7], [10, 10], [8, 8], [3, 11], [12], [12], [12], [12], [9, 12], [10, 10], [2, 6], [7, 7, 7], [11, 11], [5, 12], [8, 8], [4, 12], [10, 10]]
[[12], [10, 10], [7, 7, 7], [12], [12], [10, 10], [12], [10, 10], [8, 8], [12], [11], [2, 12], [9, 9], [4, 11], [6, 10], [11], [12], [5, 8, 8], [7, 7, 7], [12], [3, 12]]
[[11], [7, 7], [12], [10, 10], [3, 12], [11], [8, 8], [7, 7], [9, 11], [10, 10], [12], [6, 12], [8, 8], [7, 7], [12], [2, 9], [4, 10], [10, 10], [5, 12], [12], [12], [12]]
[[12], [12], [12], [5], [7, 12], [12], [4, 12], [], [10], [10, 10], [8, 11], [9, 9], [2, 12], [], [8, 8], [10, 10], [6], [7, 12], [8, 11], [7, 12], [7, 11], [3, 7, 7], [10, 10]]
[[10], [12], [12], [12], [8, 8], [10], [3, 5, 10], [4, 10], [7, 7], [6, 12], [7, 10], [8, 8], [11], [7, 11], [12], [2, 10], [12], [9, 9], [12], [11], [12], [10], [7, 7], [12]]
[[10], [6], [7, 10], [4, 12], [5, 10], [12], [12], [12], [9], [11], [10], [11], [11], [8, 8], [7, 7], [3, 12], [7, 9], [2, 10], [7, 10], [12], [12], [7, 10], [12], [12], [8, 8]]
[[12], [9], [8, 8], [5, 10], [12], [11], [12], [12], [7, 7], [7, 9], [12], [11], [10], [2, 10], [10], [8, 8], [10], [10], [7, 7], [4, 7], [12], [6, 11], [10], [12], [3, 12], [12]]
[[9], [12], [7, 7], [5, 10], [7, 7], [8, 8], [12], [10], [12], [12], [9], [4, 12], [3, 6], [10], [11], [8, 8], [12], [10], [10], [2, 11], [11], [12], [10], [12], [7, 7], [12], [10]]
[[10], [3, 11], [10], [12], [6], [11], [12], [12], [4, 10], [8, 8], [12], [10], [10], [10], [8, 8], [12], [10], [5], [7, 7], [9], [11], [2, 12], [7, 7], [12], [9], [12], [7, 7], [12]]
[[10], [7, 7], [8, 8], [12], [12], [8, 8], [4, 12], [12], [7, 7], [2, 12], [12], [12], [7, 9], [11], [10], [11], [12], [], [10], [10], [10], [3, 9], [6], [11], [5, 7], [10], [], [12], [10]]
[[12], [10], [12], [12], [10], [10], [7, 7], [12], [8], [11], [11], [12], [10], [7, 7], [2, 8], [12], [10], [9], [9], [4, 6], [12], [7, 7], [5], [12], [10], [8], [10], [8], [3, 11], [12]]
[[10], [5, 8], [10], [7, 7], [6], [3, 8], [12], [10], [7, 7], [], [12], [12], [8], [9], [11], [2, 10], [9], [12], [12], [11], [12], [10], [7, 7], [12], [11], [4], [12], [12], [10], [8], [10]]
[[10], [12], [8], [10], [11], [11], [12], [9], [8], [7, 7], [2, 3, 9], [7, 7], [4, 10], [], [10], [5, 8], [11], [6, 7], [7], [10], [10], [12], [], [10], [12], [12], [12], [12], [12], [8], [12], []]
[[12], [10], [7], [10], [7], [8], [12], [8], [11], [7], [6], [10], [9], [12], [10], [2, 10], [10], [7], [4, 8], [11], [9], [5], [12], [8], [11], [12], [12], [12], [12], [7], [12], [3, 10], [7]]
[[11], [10], [3, 4], [12], [9], [2, 9], [11], [8], [7], [5], [12], [10], [10], [8], [12], [12], [], [7], [10], [10], [12], [8], [6, 7], [12], [7], [7], [12], [10], [11], [12], [10], [8], [12], [7]]
[[12], [], [10], [7], [12], [6, 7], [10], [11], [12], [12], [10], [12], [8], [4], [10], [10], [7], [11], [12], [8], [7], [12], [3], [12], [7], [7], [], [5, 8], [11], [10], [2, 9], [9], [10], [12], [8]]
[[], [9], [12], [10], [12], [9], [10], [12], [10], [], [11], [12], [2, 7], [4, 7], [6], [10], [8], [11], [5, 7], [7], [12], [12], [10], [12], [], [7], [11], [7], [3, 8], [], [10], [10], [12], [8], [8], [12]]
-EndAllocation

Instance: [[1], [322], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [214, 144, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [161, 108, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[4, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12], [6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 12]]
[[5, 6, 6, 8, 9, 10, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 9, 9, 9, 9], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11]]
[[6, 6, 9, 10, 12, 12, 12, 12, 12, 12], [4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [5, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11]]
[[6, 6, 9, 12, 12, 12, 12, 12], [7, 7, 7, 7, 9, 9, 9, 9, 10, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [], [4, 5, 11, 11, 11, 11, 11, 11]]
[[6, 11, 11, 11, 11, 11, 11], [12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 5, 9, 10], [6, 7, 7, 7, 7], [8, 9, 9, 9, 9]]
[[4, 6, 8, 8, 8, 9, 9, 9], [6, 9, 9, 10], [11, 11, 11, 11, 11], [7, 7, 7, 7], [11, 12], [12, 12, 12, 12, 12], [5, 8, 8, 8, 8, 8, 8, 8]]
[[5, 12, 12, 12, 12], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7, 7, 8, 8, 8, 8], [9, 10], [4, 6], [6, 11, 11, 11, 11], [7, 11, 11, 12, 12]]
[[7, 7, 12, 12], [5, 6, 6, 7, 12, 12], [8, 8, 8, 8, 8, 8], [4, 7, 9, 10], [8, 8, 8, 8, 12], [12], [9, 9, 9, 9], [11, 11, 11, 11], [11, 11]]
[[8, 8, 8, 8, 8], [4, 6, 8, 8, 8, 8], [6, 12, 12, 12], [5], [12, 12, 12], [7, 7, 7, 7], [9, 9, 9, 9], [11, 11, 11, 11], [10], [8, 9, 11, 11]]
[[12, 12, 12], [6, 6, 12, 12], [4, 11, 11, 11], [8, 8, 8, 8, 8], [5, 11, 11, 11], [7, 9, 10], [], [9, 9, 9, 9], [8, 8, 8, 8, 8], [], [7, 7, 7, 12]]
[[4, 8, 8, 8, 8], [5, 8, 8], [8, 8, 8, 8], [10], [7, 7, 7, 7], [12, 12, 12], [9], [11, 11, 11], [12, 12, 12], [9, 9, 9, 9], [6, 6], [11, 11, 11]]
[[9, 11, 11], [5, 11], [8, 8, 8, 8], [6, 9, 9, 9], [9], [12, 12], [7, 7, 7, 7], [10], [8, 8, 8, 8], [6, 11, 11], [12, 12], [8, 8, 11], [4, 12, 12]]
[[5, 8, 8, 8], [6, 8, 8, 8], [6, 11, 11], [9], [7, 7, 7, 7], [9, 9, 9], [8, 8, 8], [9, 10], [12, 12], [11, 11], [], [4, 12, 12], [12, 12], [8, 11, 11]]
[[8, 8, 8], [8, 8, 8], [7, 7, 7, 7], [12, 12], [9], [6, 6, 9], [4, 8], [11, 11], [9, 9, 9], [11, 11], [12, 12], [12, 12], [11, 11], [10], [5, 8, 8, 8]]
[[7, 7, 7], [4, 8, 8, 8], [9, 12], [6, 6, 12], [5, 7, 10], [8, 8, 8], [8, 12], [9, 12], [9, 9, 9], [11, 12], [], [11, 11], [11, 11], [], [8, 8, 8], [11, 12]]
[[11, 11], [6, 6, 8], [8, 8, 8], [7, 7, 7], [12, 12], [8, 8, 8], [9], [11, 11], [12, 12], [], [], [12, 12], [7, 10], [11, 11], [5, 9, 9], [4, 9, 9], [8, 8, 8]]
[[5, 8, 8], [8, 8, 8], [12, 12], [11, 11], [4, 6, 6], [9, 9], [12, 12], [9, 9], [7, 7, 7], [9], [8, 8], [11, 11], [12, 12], [], [], [7, 10], [11, 11], [8, 8, 8]]
[[6, 8, 8], [8, 12], [7, 12], [11, 11], [8, 12], [9, 12], [9, 9], [], [6], [8, 8], [7, 7, 7], [10], [4, 8, 8], [9, 9], [11, 11], [12], [11, 11], [12], [5, 8, 8]]
[[4, 8, 8], [8, 8], [6, 7], [10], [11, 11], [7, 7, 7], [9, 12], [12], [11, 11], [12], [11, 11], [8, 8], [9, 9], [], [5, 12], [8, 8], [9, 9], [12], [8, 8], [6, 12]]
[[4, 8, 8], [6, 11], [7, 11], [9, 9], [5], [9, 12], [6, 11], [7, 7, 7], [11], [9, 11], [12], [8, 12], [12], [11], [12], [8, 8], [8, 8], [12], [8, 8], [8], [9, 10]]
[[7, 11], [12], [12], [9, 11], [8, 8], [9, 9], [8, 8], [4, 11], [8, 8], [8, 8], [8, 8], [12], [9, 9], [11], [11], [6, 7, 7], [6, 11], [12], [12], [], [7, 12], [5, 10]]
[[4, 8], [11], [12], [12], [9, 9], [11], [10], [9, 9], [8, 8], [8, 8], [8, 8], [6, 11], [7, 7], [5, 11], [7, 11], [7, 9], [6, 8], [12], [11], [8, 8], [12], [12], [12]]
[[8, 8], [9, 9], [12], [10], [7, 11], [11], [6, 6], [8, 8], [8, 8], [8, 8], [8, 8], [7, 11], [7, 7], [4, 12], [12], [9, 9], [5], [9], [11], [12], [11], [11], [12], [12]]
[[9], [7, 9], [5, 11], [6, 7], [12], [8, 9], [12], [8, 9], [8, 8], [8, 8], [7, 7], [12], [11], [12], [4, 12], [12], [8, 8], [8, 8], [], [9], [11], [11], [11], [6, 11], [10]]
[[4, 11], [7, 9], [6, 9], [12], [11], [12], [8, 8], [6, 11], [8, 8], [8, 8], [8, 8], [7, 9], [5], [], [12], [9], [9], [8, 8], [10], [11], [12], [11], [12], [12], [7, 7], [11]]
[[9], [5, 11], [12], [9], [9], [11], [10], [6, 9], [11], [8, 8], [8, 8], [4, 6], [7, 7], [9], [11], [12], [8, 8], [8], [12], [7, 7], [12], [11], [12], [8], [11], [8, 8], [12]]
[[6, 6], [8, 8], [8, 8], [12], [7, 7], [11], [11], [9], [8, 8], [5, 9], [11], [7, 7], [11], [9], [12], [8, 8], [11], [10], [8, 8], [12], [12], [], [12], [11], [12], [], [9], [4, 9]]
[[8, 8], [6], [12], [12], [4, 12], [8, 8], [11], [5, 11], [8, 8], [8, 8], [11], [9], [], [9], [9], [11], [], [12], [11], [7, 7], [7, 7], [9], [12], [9], [], [11], [6, 10], [8, 8], [12]]
[[11], [11], [12], [8], [8], [12], [8], [5, 8], [8], [6, 8], [11], [11], [12], [10], [4, 8], [12], [7, 7], [12], [9], [11], [9], [8], [12], [9], [9], [7, 7], [9], [6, 8], [11], [8]]
[[5, 8], [8], [11], [12], [4, 9], [8], [12], [6, 8], [8], [7], [11], [12], [11], [9], [8], [11], [7, 7], [10], [8], [11], [6, 8], [11], [8], [12], [7], [9], [12], [12], [9], [8], [9]]
[[5, 8], [4, 9], [9], [8], [11], [12], [11], [10], [7, 7], [12], [6, 8], [8], [8], [8], [8], [9], [12], [12], [11], [8], [7, 7], [9], [12], [11], [11], [11], [12], [], [9], [6, 8], [], [8]]
[[12], [12], [12], [9], [8], [11], [12], [11], [8], [6, 7], [8], [5, 8], [4, 8], [9], [8], [8], [8], [10], [8], [12], [11], [6, 7], [9], [9], [8], [7], [12], [11], [11], [9], [7], [], [11]]
[[11], [9], [9], [5, 8], [10], [11], [8], [11], [8], [8], [12], [8], [8], [8], [9], [6, 7], [12], [9], [8], [4], [], [11], [8], [11], [6, 7], [9], [12], [7], [12], [12], [12], [11], [7], [8]]
[[11], [11], [11], [8], [12], [11], [10], [12], [9], [8], [8], [8], [8], [8], [8], [8], [9], [8], [7], [12], [5], [12], [12], [8], [11], [11], [], [9], [], [4, 9], [12], [7], [6, 7], [6, 7], [9]]
[[8], [12], [], [6], [12], [11], [7], [11], [4, 8], [8], [8], [8], [12], [8], [8], [12], [8], [5, 6], [7], [12], [11], [9], [7], [11], [11], [9], [8], [12], [], [8], [9], [10], [9], [9], [7], [11]]
-EndAllocation

Instance: [[1], [321], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [214, 142, 108, 86, 72, 61, 54, 48, 44, 40, 36, 33, 30, 29, 28, 25, 24, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [161, 107, 81, 65, 54, 46, 41, 36, 33, 30, 27, 25, 23, 22, 21, 19, 18, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12, 12, 12, 12]]
[[], [10, 10, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 10, 11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 10, 10, 12, 12], [12, 12], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 10, 10], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 11, 12, 12], [12, 12, 12, 12], [12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [10, 10, 11, 11], [], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 10, 12, 12], [11, 11, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5], [10, 10, 12], [], [5, 11, 11, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 10, 12], [5, 5, 5, 5, 5, 5, 5], [11, 11], [12, 12, 12], [5, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 11, 11], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [10, 10, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [11, 11], [12, 12], [5, 12, 12], [5, 12, 12], [12, 12], [12, 12], [10, 10], [5, 5, 5, 5, 5, 5], [12], [12, 12]]
[[], [11, 11], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5], [12], [10, 10], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [11, 11], [12, 12], [10, 10], [12, 12], [], [12, 12], [12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [10, 10], [12, 12], [12], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5], [12], [5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5], [12, 12], [], [12, 12], [12, 12], [12, 12], [10, 10], [12, 12], [5, 5, 5, 5], [], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [11, 11], [12], [12], [5, 5, 5, 5], [5, 5, 12], [10, 12], [12], [10, 12], [12], [5, 5, 12], [5, 5, 12], [5, 12]]
[[12], [12], [12], [12], [10, 12], [5, 5, 12], [12], [5, 5, 5, 5], [12], [12], [5, 5, 5, 5], [12], [5, 5, 12], [10, 12], [12], [5, 5, 12], [12], [12], [11, 11], [5, 12]]
[[12], [12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [10, 11], [5, 12], [5, 12], [10, 11], [12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [5, 12]]
[[12], [5, 12], [10, 10], [12], [5, 11], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [5, 5, 5, 5], [12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12], [11], [12]]
[[12], [5, 5, 5], [12], [12], [5, 11], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 10], [5, 11], [12], [12], [5, 12], [10], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 10], [5, 12], [5, 5, 5], [5, 5, 5], [5, 10], [12], [12], [12], [5, 12], [11], [11], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [12], [12], [12], [10], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [11], [5, 12], [5, 12], [5, 10], [11], [12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [10], [12], [12], [12], [12], [12], [10], [12], [12], [11], [5, 5], [11], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5]]
[[10], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [], [5, 5, 5], [5, 5, 5], [12], [12], [12], [11], [11], [12], [12], [12], [5, 5, 5], [10], [12], [12], [12], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [], [12], [11], [12], [10], [12], [12], [10], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [11], [5, 5, 5]]
[[12], [12], [12], [12], [12], [11], [11], [5], [12], [12], [], [10], [5, 5, 5], [12], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [10], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5], [12]]
[[12], [5], [11], [5, 5], [12], [12], [10], [12], [12], [12], [11], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [10], [5, 5], [5, 5], [5, 5], [12], [12], [], [5, 5]]
[[12], [12], [5, 5], [10], [12], [12], [], [5, 5], [12], [12], [], [12], [12], [12], [12], [11], [5, 5], [11], [5, 5], [12], [5, 5], [5], [12], [5, 5], [12], [10], [12], [12], [5, 5], [12], [12]]
[[12], [12], [10], [12], [11], [5, 5], [5], [12], [12], [], [5, 5], [12], [11], [12], [], [12], [12], [10], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [12], [12], [], [12]]
[[12], [12], [11], [12], [11], [5, 5], [12], [12], [5], [12], [5, 5], [12], [], [10], [5, 5], [5, 5], [], [5, 5], [5, 5], [12], [12], [10], [12], [12], [], [12], [12], [5, 5], [12], [12], [], [12], [12]]
[[12], [12], [12], [11], [12], [], [12], [], [10], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [5], [12], [11], [5, 5], [12], [10], [5, 5], [5, 5], [], [12], [12], [12], [5, 5], [12], [], [12], [], [12]]
[[11], [5], [], [5, 5], [], [12], [12], [5, 5], [5, 5], [12], [12], [], [12], [11], [12], [5, 5], [10], [], [5, 5], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [], [10], [12], [12], [12], [5, 5], [12]]
[[], [12], [12], [12], [12], [5, 5], [12], [12], [5], [10], [12], [], [], [12], [11], [12], [5, 5], [5, 5], [11], [12], [5, 5], [12], [10], [12], [], [12], [12], [5, 5], [], [], [5, 5], [12], [5, 5], [12], [12], []]
-EndAllocation

Instance: [[1], [320], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 13, 13, 13, 13, 12], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[1, 4, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11], [6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12]]
[[1, 4, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12], [6, 6, 6, 7, 7, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11]]
[[1, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [9, 9, 9, 12, 12, 12, 12, 12, 12], [10, 10, 10, 10, 11, 11, 11, 11, 11], [6, 6, 6, 7, 7]]
[[1, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 10, 11, 11, 11, 11, 11], [7, 7, 9, 9, 9, 9, 10, 10, 10], [], [6, 6, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12, 12, 12], [1, 4, 9, 9, 9, 9], [11, 11, 11, 11, 11], [6, 6, 6, 10, 10, 10, 10], [7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[1, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 12, 12, 12], [9, 9, 9, 9, 12, 12], [6, 6, 6], [7, 7], [10, 10, 10, 10, 12], [11, 11, 11, 11, 11]]
[[1, 4, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12, 12], [6, 6, 6, 8, 8, 8, 8], [7, 7], [10, 10, 10, 10, 11], [12, 12]]
[[1, 4, 9, 12, 12], [8, 8, 8, 8, 8, 8], [8, 8, 8, 8], [], [11, 11, 11, 11], [12, 12, 12, 12], [6, 6, 6, 9, 9, 9], [10, 10, 10, 10], [7, 7, 11]]
[[1, 4, 7, 7, 9], [12, 12, 12], [], [10, 10, 10, 10], [12, 12, 12], [11, 11], [8, 8, 8, 8, 8], [6, 6, 9, 9, 9], [6, 11, 11, 11], [8, 8, 8, 8, 8]]
[[1, 4, 8, 8, 8, 8], [8, 8, 8, 8], [10, 10, 10, 10], [12, 12, 12], [12, 12, 12], [9, 9, 9, 9], [11, 11, 11], [6, 6, 6, 7, 7], [8, 8], [], [11, 11]]
[[1, 11], [8, 11, 12], [8, 8, 11], [9, 9, 9, 9], [11, 12], [10, 10, 10], [7, 7, 8, 8], [12, 12, 12], [10], [8, 8, 8, 8], [6, 6, 6, 11], [4, 8, 12]]
[[1, 4, 12, 12], [6, 6, 6], [8, 8, 8, 8], [9, 9, 10], [8, 8], [11, 11], [7, 7, 9, 9], [8, 8, 8, 8], [], [11, 11, 11], [12, 12], [10, 10, 10], [12, 12]]
[[1, 4, 8, 8, 8], [8, 8, 8], [9, 10, 10], [12, 12], [12, 12], [6, 10, 10], [8], [11, 11], [9, 9, 9], [7, 7], [12, 12], [11, 11], [6, 6, 11], [8, 8, 8]]
[[1, 4, 8, 8, 8], [7, 8], [9, 10, 10], [7, 11, 11], [12, 12], [6, 6, 6, 10], [], [12, 12], [9, 9, 9], [12, 12], [8, 8, 8], [], [10, 11], [11, 11], [8, 8, 8]]
[[1, 8, 8, 8], [4, 6, 8], [12, 12], [11, 11], [7, 7], [], [10, 10], [12, 12], [10, 10], [9, 9], [8, 8, 8], [12, 12], [9, 9], [6, 6, 11], [11, 11], [8, 8, 8]]
[[1, 8, 8, 8], [4, 10, 10], [12, 12], [8, 8, 8], [9, 11], [12], [11, 11], [10, 10], [], [11, 11], [], [12, 12], [6, 6, 6], [7, 7, 8], [9, 12], [9, 9], [8, 8, 8]]
[[1, 8, 8], [4, 8], [10, 10], [8], [11, 11], [9, 9], [12, 12], [7, 7], [6, 6, 6], [], [12, 12], [11], [11, 11], [8, 8, 8], [12, 12], [9, 9], [10, 10], [8, 8, 8]]
[[1, 4, 8, 8], [6, 12], [11, 11], [12], [11, 11], [6, 8, 8], [9, 9], [8, 12], [7, 11], [], [9, 9], [8, 8], [6, 8, 8], [10, 10], [10, 10], [], [12], [7, 12], [8, 12]]
[[1, 8, 11], [8, 8], [6, 11], [10, 10], [7, 12], [10, 11], [12], [], [11], [8, 8], [7, 10], [9, 9], [6, 12], [8, 12], [11], [9, 9], [6, 12], [8, 8], [12], [4, 8, 8]]
[[8, 8], [8, 8], [9, 9], [6, 11], [7, 12], [11], [8, 12], [], [], [11], [12], [10, 10], [10, 10], [12], [9, 12], [9, 11], [7, 11], [12], [8, 8], [6, 6, 8], [1, 4, 8, 8]]
[[1, 8, 8], [11], [12], [9, 11], [8, 8], [9, 9], [11], [10, 10], [4, 8, 8], [8, 8], [8, 8], [12], [12], [11], [12], [7, 7], [], [12], [12], [9, 11], [6, 6, 6], [10, 10]]
[[1, 8, 8], [12], [12], [12], [10], [11], [11], [12], [8, 8], [8, 8], [8, 8], [6, 11], [9, 9], [10], [11], [10], [6, 12], [4, 7, 7], [11], [8, 8], [12], [9, 9], [6, 10]]
[[1, 8, 8], [9, 9], [12], [9, 9], [12], [10], [8, 10], [8, 8], [8, 8], [4, 6, 8], [8, 8], [6, 10], [7, 7], [10], [11], [11], [6, 12], [11], [], [12], [12], [11], [11], [12]]
[[1, 12], [11], [10], [10], [9], [7, 10], [12], [4, 12], [8, 8], [8, 8], [6, 7], [8, 8], [12], [8, 9], [12], [11], [8, 9], [8, 8], [9], [12], [11], [10], [6, 6], [11], [11]]
[[1, 8, 8], [11], [12], [12], [11], [9], [6, 9], [11], [8, 8], [8, 8], [8, 8], [6, 10], [4, 9], [11], [10], [6, 10], [9], [8, 8], [10], [11], [12], [12], [12], [12], [7, 7], []]
[[1, 4, 6], [], [12], [11], [11], [6, 10], [8, 8], [6, 10], [8, 8], [8, 8], [8, 8], [10], [9], [12], [11], [12], [9], [11], [9], [7, 7], [12], [9], [12], [10], [11], [8, 8], [12]]
[[1, 4, 6], [7, 9], [11], [12], [8, 8], [11], [12], [10], [8, 8], [8, 8], [9], [7, 9], [11], [9], [8, 8], [], [11], [10], [8, 8], [], [12], [10], [12], [11], [12], [12], [6, 6], [10]]
[[1, 4, 10], [6, 10], [10], [12], [12], [8, 8], [11], [9], [6, 6], [8, 8], [8, 8], [11], [12], [12], [], [11], [11], [12], [8, 8], [11], [7, 7], [9], [9], [], [], [10], [9], [8, 8], [12]]
[[1, 4, 8], [11], [8], [6, 8], [10], [12], [8], [7, 7], [6, 8], [10], [10], [9], [12], [9], [8], [12], [8], [12], [11], [11], [8], [11], [12], [12], [11], [6, 8], [10], [8], [9], [9]]
[[1, 10], [12], [8], [8], [8], [12], [8], [6, 8], [6, 6], [11], [11], [12], [11], [9], [4, 8], [11], [10], [9], [7, 7], [9], [10], [8], [8], [12], [10], [9], [12], [12], [11], [8], [8]]
[[1, 4, 8], [12], [9], [8], [11], [7], [8], [9], [8], [9], [8], [10], [6, 7], [8], [8], [11], [12], [12], [11], [8], [8], [9], [12], [8], [12], [10], [10], [10], [11], [12], [6, 6], [11]]
[[1, 4, 6], [8], [9], [12], [12], [12], [9], [12], [8], [8], [7], [8], [12], [8], [8], [11], [12], [10], [8], [8], [11], [11], [9], [9], [8], [10], [6, 6], [8], [11], [10], [7], [10], [11]]
[[4, 9], [9], [8], [7], [10], [9], [12], [12], [10], [6, 7], [], [8], [8], [8], [8], [10], [11], [9], [], [8], [10], [11], [8], [11], [8], [8], [12], [11], [1, 12], [12], [12], [11], [6, 6], [8]]
[[1, 4, 8], [12], [11], [8], [11], [11], [10], [12], [7], [8], [8], [6], [9], [9], [8], [9], [8], [8], [10], [12], [], [12], [12], [9], [11], [11], [10], [8], [10], [8], [12], [6, 6], [], [7], [8]]
[[4, 8], [12], [10], [10], [12], [6, 6], [9], [11], [9], [8], [8], [6], [8], [8], [8], [12], [], [10], [7], [12], [11], [8], [], [11], [11], [9], [1, 8], [12], [], [8], [12], [10], [9], [11], [7], [8]]
-EndAllocation

Instance: [[1], [319], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [213, 142, 106, 85, 72, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [160, 107, 80, 64, 54, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 11, 11, 11, 12, 12, 12, 12, 12]]
[[12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12, 12], [11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 12, 12, 12, 12, 12, 12, 12, 12], [11, 11, 11, 12, 12, 12, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12], [11, 11, 11, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 10], [11, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [11, 11, 11], [10, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [12, 12, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [6, 6, 6, 10, 12, 12], [11, 11, 11, 12]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [6, 6, 11, 11, 11], [6, 6, 6, 6, 6, 6, 6, 6], [10, 12, 12, 12], []]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 12], [12, 12, 12], [6, 6, 6, 6, 6, 10], [12, 12, 12], [6, 6, 6, 6, 6, 12], [12, 12, 12], [11, 11, 11], [12, 12, 12]]
[[], [12, 12, 12], [6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [6, 10, 11, 11], [12, 12, 12], [11], [6, 6, 6, 6, 6, 6], [12, 12]]
[[], [12], [6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [10, 12, 12], [6, 6, 12, 12], [12, 12, 12], [], [11, 11, 11]]
[[12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12], [11, 11, 11], [6, 6, 6, 6, 6]]
[[], [12, 12], [11, 12], [12, 12], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [12, 12], [11, 11], [6, 6, 6, 12], [12, 12], [10, 12], [6, 6, 6, 6, 6], [12]]
[[], [12, 12], [6, 6, 12], [6, 6, 6, 6], [12], [12, 12], [6, 6, 6, 6], [12, 12], [10, 12], [11, 12], [11, 11], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [10, 12], [12, 12], [12, 12], [6, 6, 11], [12, 12], [], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6], [12, 12], [12, 12], [6, 6, 12], [6, 6, 6, 6], [11, 11]]
[[], [12, 12], [6, 6, 6, 6], [6, 6, 10], [12, 12], [11, 11], [6, 6, 6, 6], [12, 12], [], [12], [12, 12], [6, 6, 12], [11], [12], [6, 6, 12], [12, 12], [6, 6, 6, 6]]
[[], [12, 12], [6, 6], [], [6, 6, 6, 6], [12, 12], [], [12, 12], [12, 12], [12, 12], [10, 12], [12, 12], [11, 11], [6, 6, 6, 6], [6, 6, 6, 6], [11, 12], [6, 6, 6, 6], []]
[[12], [12], [6, 12], [6, 6], [6, 12], [6, 12], [6, 12], [6, 6, 6], [6, 12], [10, 11], [6, 12], [6, 12], [12], [11, 11], [6, 6, 6], [6, 12], [6, 12], [12], [6, 12]]
[[12], [12], [11], [6, 12], [6, 6, 6], [12], [6, 12], [12], [6, 12], [6, 12], [6, 6], [6, 12], [10, 11], [6, 12], [12], [6, 6, 6], [6, 11], [6, 12], [6, 12], [6, 12]]
[[12], [6, 6, 6], [6, 11], [12], [6, 12], [6, 12], [6, 6], [6, 11], [6, 12], [12], [6, 6], [12], [6, 12], [12], [12], [6, 12], [12], [12], [6, 6, 6], [6, 12], [10, 11]]
[[11], [12], [6, 12], [12], [6, 12], [12], [12], [12], [6, 12], [12], [6, 6, 6], [6, 12], [12], [6, 12], [6, 6, 6], [6, 11], [11], [12], [10], [6, 6, 6], [12], [6, 6, 6]]
[[12], [12], [12], [12], [6, 6, 6], [6, 6, 6], [12], [12], [12], [11], [6, 6, 6], [11], [6, 6, 6], [6, 12], [12], [6, 12], [6, 12], [12], [10], [11], [6, 6, 6], [12], [12]]
[[10], [12], [12], [6, 6, 6], [6, 6, 6], [], [6, 11], [6, 12], [12], [12], [6, 6, 6], [12], [6, 12], [12], [12], [6, 12], [12], [6, 6, 6], [6, 12], [12], [], [6, 11], [12], [11]]
[[12], [12], [6, 6], [12], [12], [12], [12], [6, 6], [12], [12], [12], [12], [6, 6], [6, 11], [6, 11], [6, 10], [12], [12], [12], [6, 11], [12], [6, 6], [6, 6], [6, 6], [6, 6]]
[[12], [12], [6, 11], [12], [6, 10], [12], [6, 6], [6], [12], [6, 11], [6, 6], [12], [12], [12], [12], [6, 6], [11], [12], [12], [6, 6], [6, 6], [12], [6, 6], [12], [12], [6, 6]]
[[11], [6, 6], [6, 6], [12], [6, 6], [12], [12], [12], [6, 10], [11], [12], [11], [12], [12], [6, 6], [6, 6], [12], [12], [12], [6, 6], [12], [12], [12], [6], [6, 6], [6, 6], [12]]
[[12], [11], [12], [6, 6], [12], [12], [12], [6, 6], [6, 10], [6, 6], [6, 6], [12], [6], [6, 6], [12], [12], [12], [11], [12], [6, 6], [6, 6], [], [6, 6], [12], [12], [12], [11], [12]]
[[], [6, 6], [6, 6], [12], [6, 6], [10], [12], [6, 6], [12], [12], [12], [12], [12], [12], [6, 6], [6, 6], [], [12], [6, 6], [12], [11], [11], [12], [12], [11], [6, 6], [6, 6], [12], [12]]
[[11], [6, 6], [6], [12], [6, 6], [12], [6, 6], [6, 6], [12], [12], [12], [12], [6, 6], [], [6, 6], [11], [12], [11], [6, 6], [10], [12], [12], [6, 6], [12], [6], [12], [], [12], [12], [12]]
[[12], [6, 6], [12], [6, 6], [12], [10], [12], [12], [12], [], [12], [6], [12], [12], [12], [6, 6], [11], [12], [6, 6], [], [11], [], [12], [12], [6, 6], [11], [6, 6], [6, 6], [6], [12], [6, 6]]
[[12], [12], [6, 6], [], [10], [], [12], [12], [12], [12], [11], [], [6, 6], [12], [11], [6, 6], [6, 6], [12], [12], [12], [6, 6], [6, 6], [12], [12], [], [6, 6], [12], [6], [11], [12], [6, 6], [6]]
[[], [12], [12], [12], [12], [], [6, 6], [], [12], [11], [6, 6], [12], [12], [12], [6, 6], [6, 6], [], [11], [6, 6], [12], [12], [6, 6], [], [12], [6, 6], [12], [], [11], [12], [6, 6], [10], [12], [6, 6]]
[[12], [12], [6, 6], [6, 6], [12], [12], [], [6, 6], [12], [12], [12], [6, 6], [12], [], [], [6, 6], [12], [], [11], [6, 6], [6, 6], [], [12], [12], [12], [12], [12], [11], [], [6, 6], [6, 6], [10], [], [11]]
[[12], [11], [12], [12], [12], [11], [12], [], [6, 6], [10], [12], [6, 6], [12], [6, 6], [6, 6], [], [12], [12], [], [12], [6, 6], [], [12], [], [6, 6], [12], [6, 6], [12], [], [6, 6], [], [6, 6], [12], [11], []]
[[], [12], [12], [], [12], [], [11], [6, 6], [12], [11], [12], [], [12], [12], [6, 6], [], [12], [12], [6, 6], [], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [], [], [6, 6], [10], [12], [12], [6, 6], [], [11], [12]]
-EndAllocation

Instance: [[1], [318], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12, 12, 12, 12]]
[[], [10, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12], [5, 12, 12, 12, 12], [5, 12, 12, 12, 12], [10, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [10, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12], [10, 12, 12], [5, 12, 12, 12]]
[[], [5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [12, 12, 12], [5, 5, 5, 5, 5, 10], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [10, 12, 12], [], [5, 5], [12, 12], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [10, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [], [12, 12], [10, 12], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [10, 12], [12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [10, 12]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [10, 12], []]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [10, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 10], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 5, 10], [12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12]]
[[12], [5, 12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [10], [12], [12], [12]]
[[12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [5, 10], [12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [12]]
[[12], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [10], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 10], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 12], [12], [5, 5, 5], [12], [10], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12]]
[[12], [12], [5, 5, 5], [5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [10]]
[[12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [], [12], [5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [10]]
[[12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [10], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [10], [5, 5], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], []]
[[], [12], [5, 5], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [10], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], []]
[[12], [12], [12], [12], [12], [12], [12], [5, 5], [], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [10], [5, 5], [12], [12], [12], [], [12], [5, 5], [12], [12], [12], [5, 5], [12]]
[[12], [], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [], [5, 5], [], [12], [5, 5], [10], [12], [12], [], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [10], [], [5, 5], [12], [], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [], [12], [], [12], [12], [5, 5], [5, 5], [12], [], [5, 5], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [], [12], [10]]
[[], [5, 5], [], [12], [12], [12], [12], [5, 5], [10], [5, 5], [12], [], [12], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [], [12], [12], [12], [5, 5], [], [], [12], [12]]
-EndAllocation

Instance: [[1], [317], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [212, 141, 106, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [159, 106, 80, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[9, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 12, 12, 12, 12], [5, 9, 12, 12, 12], [5, 12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12], [12, 12, 12], [5, 12, 12, 12]]
[[], [5, 5], [12, 12, 12], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [9, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [], [5, 5], [12, 12], [12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [9, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [9, 12], [12, 12]]
[[], [9, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [12, 12], [12], [5, 5, 5, 5, 5], [9, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [9, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [9, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], []]
[[12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [9, 12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [5, 12], [9, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [9, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12], [12]]
[[12], [5, 12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [5, 12], [12], [9], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [5, 5, 5], [5, 9], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [12]]
[[12], [12], [12], [5, 9], [5, 12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12]]
[[12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [9], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [5, 5, 5], [12], [5, 9], [12], [12], [12], [12], [5, 5, 5], [], [12], [12], [5, 12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [5, 5, 5], [12], [5, 12], [], [12], [12], [12]]
[[12], [12], [5, 5, 5], [5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [], [12], [9], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12]]
[[12], [12], [9], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [], [12], [5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [], [12]]
[[12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5, 9], [5, 5], [12], [12], [5], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [9], [12], [12], [5, 5], [12], [5, 5], [12], [], [12], [5, 5], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], []]
[[], [12], [5, 5], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [9], [12], [12], [5, 5], [5, 5], [12], [12], [12], []]
[[12], [12], [12], [12], [12], [12], [12], [5, 5], [], [9], [12], [12], [12], [5, 5], [5, 5], [5, 5], [5, 5], [], [], [12], [5, 5], [12], [12], [12], [], [12], [5, 5], [12], [12], [12], [5, 5], [12]]
[[12], [], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [9], [], [5, 5], [], [12], [5, 5], [12], [12], [12], [], [12], [12]]
[[12], [12], [5, 5], [], [12], [12], [12], [9], [12], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [5, 5], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [5, 5], [12], [], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [], [12], [], [12], [9], [5, 5], [5, 5], [12], [], [5, 5], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [], [12], [12]]
[[], [5, 5], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [9], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [], [12], [12], [12], [5, 5], [], [], [12], [12]]
-EndAllocation

Instance: [[1], [316], 36]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,36. UB Alg: [210, 141, 105, 85, 70, 61, 53, 48, 42, 38, 36, 33, 30, 29, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [158, 106, 79, 64, 53, 46, 40, 36, 32, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,36:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [4, 4, 4, 4, 4, 12, 12, 12, 12, 12, 12, 12], [9, 11, 12, 12, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [9, 11, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 9, 12, 12, 12, 12], [6, 12, 12, 12, 12], [11, 12, 12, 12, 12], [4, 4, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 6, 11], [4, 4, 4, 4, 4, 12, 12, 12], [12, 12, 12, 12, 12], [9, 12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12, 12]]
[[], [12, 12], [6, 6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12], [6, 6, 6, 6, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 9, 12, 12], [11, 12, 12, 12]]
[[], [6, 6, 6, 6, 6, 6, 9], [12, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12], [6, 6, 6, 6, 6, 6, 11], [12, 12, 12, 12], [4, 4, 4, 4, 4, 12, 12], []]
[[], [6, 6, 6, 6, 6], [12, 12, 12], [9, 12, 12], [12, 12, 12], [4, 4, 4, 4, 4, 12], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12], [11, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [], [4, 4, 4, 4, 4, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [11, 12, 12], [9, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [12, 12, 12]]
[[], [12, 12, 12], [], [], [6, 6, 6, 6, 6, 6], [12, 12, 12], [12, 12, 12], [12, 12, 12], [6, 6, 6, 6, 6, 6], [12, 12, 12], [4, 4, 4, 4, 4, 12], [9, 11, 12]]
[[], [6, 6, 6, 6, 6], [12, 12], [6, 6, 6, 6, 6], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12, 12], [4, 4, 4, 4, 4, 12], [11, 12], [6, 6, 12]]
[[], [12, 12], [4, 4, 4, 4, 4], [12, 12], [12, 12], [6, 6, 12], [6, 6, 6, 6, 6], [12, 12], [11, 12], [12, 12], [12, 12], [9, 12], [6, 6, 6, 6, 6], [12, 12]]
[[], [9, 12], [12, 12], [12, 12], [], [12, 12], [6, 6, 6, 6], [4, 4, 4, 4, 12], [4, 12, 12], [12, 12], [11, 12], [12, 12], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6]]
[[], [12], [12, 12], [12, 12], [12, 12], [12, 12], [], [12, 12], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [12, 12], [12, 12], [4, 4, 4, 4, 4], [12, 12], [9, 11]]
[[], [12, 12], [12, 12], [6, 6, 6, 6], [12, 12], [9, 11], [6, 6, 6, 6], [12, 12], [], [12, 12], [12, 12], [12, 12], [], [12], [12, 12], [4, 4, 4, 4, 4], [6, 6, 6, 6]]
[[], [4, 4, 4, 4, 4], [6, 6, 6, 6], [], [6, 6, 6, 6], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [6, 6, 6, 6], [12, 12], [9, 12], [], []]
[[12], [12], [6, 12], [12], [6, 12], [6, 12], [6, 12], [12], [6, 12], [6, 11], [6, 12], [6, 12], [12], [9, 12], [6, 12], [6, 12], [4, 4, 4, 4, 4], [6, 12], [6, 12]]
[[12], [6, 12], [6, 12], [12], [12], [6, 12], [6, 12], [4, 4, 4, 4, 4], [6, 12], [6, 12], [6, 6, 6], [6, 12], [12], [12], [6, 12], [12], [11], [9, 12], [6, 12], [12]]
[[12], [6, 6, 6], [12], [12], [6, 12], [6, 12], [12], [6, 11], [12], [12], [6, 6, 6], [12], [6, 12], [12], [9, 12], [12], [12], [12], [6, 12], [6, 12], [4, 4, 4, 4, 4]]
[[11], [12], [6, 12], [12], [6, 12], [12], [4, 4, 4, 4], [12], [12], [12], [6, 6, 6], [4, 12], [12], [6, 12], [6, 12], [6, 6, 6], [12], [12], [9], [6, 12], [12], [6, 12]]
[[12], [12], [4, 4, 4, 4], [12], [6, 11], [6, 6, 6], [12], [12], [12], [12], [6, 12], [4, 12], [6, 6, 6], [12], [12], [12], [6, 12], [12], [9], [12], [6, 6, 6], [12], [12]]
[[12], [12], [12], [12], [6, 6, 6], [12], [6, 6, 6], [12], [12], [9], [4, 4, 4, 4], [12], [4, 12], [12], [12], [6, 6, 6], [12], [6, 6, 6], [12], [12], [12], [12], [12], [11]]
[[12], [12], [6, 6], [4, 4, 4, 4], [12], [4, 12], [6, 9], [12], [12], [12], [12], [12], [6, 6], [6, 11], [12], [12], [12], [12], [12], [12], [12], [6, 6], [12], [6, 6], [6, 6]]
[[12], [4, 12], [12], [12], [6, 6], [12], [12], [12], [12], [11], [6, 6], [12], [12], [9], [12], [6, 6], [12], [12], [12], [6, 6], [6, 6], [12], [6, 6], [12], [4, 4, 4, 4], [12]]
[[12], [6, 6], [4, 4, 4, 4], [12], [6, 6], [12], [12], [12], [12], [11], [], [12], [12], [9], [6, 6], [6, 6], [12], [12], [12], [12], [12], [12], [4, 12], [12], [6, 6], [6, 6], [12]]
[[12], [12], [12], [12], [4, 4, 4, 4], [4, 12], [12], [12], [6, 6], [6, 6], [6, 6], [12], [], [6, 6], [12], [12], [12], [12], [12], [6], [6, 6], [], [6, 9], [12], [12], [12], [11], [12]]
[[12], [6, 6], [6, 6], [4, 4], [6, 6], [12], [12], [6, 6], [4, 4, 4], [12], [12], [12], [12], [12], [], [12], [], [12], [6, 6], [12], [11], [12], [12], [12], [12], [9], [6, 6], [12], [12]]
[[12], [12], [], [12], [4, 4, 6], [12], [6], [6, 6], [12], [12], [12], [12], [6, 6], [], [6, 6], [11], [12], [], [6, 6], [4, 4, 4], [12], [12], [6, 6], [12], [9], [12], [12], [12], [12], [12]]
[[12], [6, 6], [12], [4, 4, 4], [12], [6, 6], [12], [4, 4], [12], [], [12], [6, 6], [12], [12], [9], [6, 6], [12], [12], [6, 6], [], [11], [], [12], [12], [12], [12], [6, 6], [], [12], [12], [12]]
[[12], [12], [6, 6], [], [11], [12], [4, 4], [9], [12], [12], [12], [], [6, 6], [12], [], [12], [6, 6], [12], [12], [12], [6, 6], [6, 6], [12], [12], [], [], [12], [12], [12], [12], [6, 6], [4, 4, 4]]
[[], [12], [9], [12], [12], [12], [12], [], [12], [12], [6, 6], [12], [4, 4], [12], [12], [4, 4, 4], [], [11], [6, 6], [12], [12], [6, 6], [12], [12], [6, 6], [12], [], [], [12], [6, 6], [], [12], [6, 6]]
[[12], [12], [6, 6], [12], [12], [12], [], [12], [12], [12], [12], [6, 6], [12], [], [], [6, 6], [12], [4, 4], [4, 4, 4], [], [6, 6], [], [9], [12], [12], [12], [12], [12], [], [6, 6], [6, 6], [12], [], [11]]
[[12], [6, 6], [12], [9], [12], [11], [12], [], [4, 4, 4], [12], [12], [6, 6], [12], [], [6, 6], [], [12], [12], [12], [12], [6, 6], [], [12], [12], [], [12], [6, 6], [12], [], [12], [], [6, 6], [12], [4, 4], []]
[[], [4, 4], [12], [], [12], [], [12], [12], [12], [11], [12], [], [12], [9], [6, 6], [], [12], [12], [12], [4, 4, 4], [6, 6], [6, 6], [12], [6, 6], [6, 6], [12], [], [], [6, 6], [12], [12], [12], [12], [], [], [12]]
-EndAllocation

Instance: [[1], [333], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [222, 148, 112, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [167, 111, 84, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [11, 11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [8, 12, 12, 12, 12, 12, 12]]
[[], [5, 11, 11, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12, 12, 12, 12], [8, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [8, 11, 11, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12], [11, 11], [12, 12, 12, 12], [8, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12], [5, 5, 5, 5, 5, 5, 12], [8, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [8, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [11, 11, 12], [12, 12, 12]]
[[], [], [12, 12, 12], [5, 5, 5, 11, 11], [5, 5, 5, 5, 5, 8], [12, 12, 12], [12, 12, 12], [12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5], [8, 12, 12], [5, 12, 12], [11, 11, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12], [8, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 11]]
[[], [12, 12], [12, 12], [11, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 8], [12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [8, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 11, 11], [12, 12], [12, 12], []]
[[], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [8, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [], [12, 12], [12, 12], [12, 12], [8, 12], [5, 5, 5, 5, 5], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [], [12, 12], [12, 12]]
[[], [5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [], [12, 12], [8, 12], [12, 12], [5, 5, 5, 5], [12, 12], [11, 11], [], [12, 12], [5, 5, 5], [5, 5, 5, 5]]
[[12], [11, 11], [8, 12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [8, 12], [5, 5, 11], [5, 12], [12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [12], [12], [12], [12], [5, 5, 5, 5], [8, 12], [5, 12], [12], [12], [5, 5, 11], [5, 12], [5, 12], [11], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [5, 5, 5, 5], [8, 12], [5, 12], [11], [5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 11], [12], [12], [12]]
[[12], [12], [12], [5, 12], [8], [5, 12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5], [12], [12], [11], [5, 12], [5, 5, 5], [5, 12], [11], [5, 12]]
[[12], [8], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 12], [11], [12], [5, 12], [11], [5, 12], [12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [12]]
[[12], [5, 12], [11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [8], [12], [12], [12], [5, 5, 5], [12], [12], [11], [12], [5, 12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [11], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [12], [11], [5, 5, 5], [8], [12], [12]]
[[12], [12], [5, 5, 5], [12], [], [12], [11], [12], [12], [12], [12], [12], [5, 5, 5], [11], [12], [5, 5, 5], [12], [12], [12], [5, 5], [12], [12], [5, 8], [12], [5, 5, 5], [12], [12], [12]]
[[11], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [11], [], [8], [12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [11], [], [11], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [], [12], [12], [12], [5, 5, 5], [12], [], [12], [12], [8], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [11], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [12], [5, 8], [12], [12], [12], [12], [12], [5, 5], [], [], [5, 5], [12], [11]]
[[12], [12], [], [12], [5, 5], [5, 5], [11], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [8], [5, 5], [5, 5], [5, 5], [12], [12], [11], [], [5]]
[[12], [12], [12], [12], [5, 5], [5, 8], [12], [12], [12], [12], [12], [], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [11], [12], [12], [], [12], [], [12], [], [5, 5], [12], [11], [5, 5]]
[[12], [12], [12], [8], [12], [5, 5], [12], [12], [], [5, 5], [11], [12], [12], [], [12], [5], [11], [], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5]]
[[], [5, 5], [12], [11], [11], [12], [12], [], [12], [12], [12], [12], [12], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [5, 8], [12], [12], [], [12], [5, 5], [], [], [12], [5, 5], [5, 5], [12], [12], [5, 5]]
[[12], [8], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [5, 5], [12], [12], [12], [12], [], [12], [12], [12], [12], [], [], [5], [], [], [12], [11], [12], [5, 5], [12], [], [5, 5], [5, 5]]
[[12], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [], [5, 5], [11], [], [8], [12], [], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [5], [], [11], [12], [], [12], [5, 5]]
-EndAllocation

Instance: [[1], [332], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 9, 10, 11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 11, 11, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [6, 6, 7, 12, 12, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11, 12], [6, 9, 12, 12, 12, 12, 12, 12], [7, 12, 12, 12, 12, 12, 12], [6, 10, 12, 12, 12, 12, 12, 12]]
[[], [4, 7, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12], [6, 6, 9, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10]]
[[], [12, 12, 12, 12, 12], [7, 12, 12, 12, 12], [12, 12, 12, 12, 12], [6, 6, 9, 10, 11, 11], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]
[[], [10, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12], [6, 6, 12, 12, 12], [11, 11, 12, 12], [7, 12, 12, 12], [9, 12, 12, 12]]
[[], [12, 12, 12, 12], [10, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [11, 11], [7, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [6, 6, 9, 12, 12]]
[[], [12], [12, 12, 12], [6, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [6, 12, 12, 12], [7, 9, 12, 12], [12, 12, 12], [10, 11, 11, 12]]
[[], [9, 12, 12], [7, 12, 12], [12, 12, 12], [4, 10, 12, 12], [12, 12, 12], [6, 6, 11, 11], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12], [12, 12, 12], [12, 12, 12]]
[[], [11, 11, 12], [4, 4, 4, 4, 4, 4, 4, 9], [12, 12, 12], [7, 12, 12], [12, 12, 12], [6, 6, 12, 12], [12, 12, 12], [4, 4, 4, 4, 12], [10, 12], [12, 12, 12], []]
[[], [12, 12], [12, 12], [12, 12], [9, 12, 12], [4, 4, 4, 4, 4, 12], [11, 11, 12], [6, 6, 12], [12, 12], [10, 12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 7], [12, 12]]
[[12], [4, 4, 12, 12], [9, 12], [10, 12], [12], [12, 12], [12, 12], [12, 12], [4, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [12, 12], [6, 6, 7, 12]]
[[], [4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [12, 12], [9], [4, 4, 10, 12], [12, 12], [4, 4, 6, 6, 7], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [7, 12], [12, 12], [9, 10], [12, 12], [6, 6, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [12], [12], [12, 12], [4, 4, 4, 4, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [4, 4, 4, 4, 4], [7], [6, 6, 12], [4, 4, 4, 4, 4, 4], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12], [], [11, 11], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [7, 12], [12, 12], [], [6, 6, 12], [9, 12], [12, 12], [12, 12], [12], [4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [11, 11], [12, 12], [], [10, 12]]
[[], [12, 12], [6, 6, 12], [12, 12], [10], [12, 12], [12, 12], [9, 12], [12, 12], [12, 12], [7, 12], [12, 12], [4, 4, 4, 4, 4, 4], [], [], [4, 4, 4, 4, 4], [], [11, 11], [12, 12]]
[[12], [12], [12], [4, 4, 12], [6, 12], [12], [12], [7, 12], [6, 12], [10, 12], [4, 4, 12], [12], [4, 12], [4, 4, 12], [12], [12], [11, 11], [4, 4, 12], [4, 4, 12], [9, 12]]
[[12], [12], [12], [12], [11], [12], [12], [6, 12], [9, 12], [4, 4, 12], [7, 12], [12], [4, 4, 12], [4, 12], [12], [4, 4, 12], [4, 4, 12], [10, 11], [12], [6, 12], [4, 4, 12]]
[[12], [12], [4, 4, 12], [12], [7, 12], [4, 4, 12], [6, 6, 9], [12], [4, 4, 12], [10, 11], [12], [12], [4, 4, 12], [11], [4, 12], [12], [12], [4, 4, 12], [12], [12], [12], [12]]
[[12], [4, 4, 12], [4, 12], [12], [12], [12], [12], [4, 4, 11], [12], [4, 4, 12], [4, 4, 12], [12], [12], [7, 12], [9, 10], [12], [4, 4, 6, 6], [12], [12], [12], [11], [12], [12]]
[[12], [4, 12], [12], [12], [12], [4, 12], [12], [4, 4, 9], [7, 11], [6, 12], [4, 12], [4, 12], [6, 12], [12], [12], [12], [10], [12], [12], [4, 12], [12], [4, 4, 4, 4], [11], [12]]
[[12], [12], [10], [12], [12], [12], [12], [12], [4, 12], [12], [12], [12], [4, 11], [7, 11], [12], [12], [6, 12], [12], [4, 12], [12], [4, 4, 4, 4], [12], [12], [4, 4, 4, 4], [6, 9]]
[[11], [11], [4, 4, 4, 4], [12], [12], [12], [7, 9], [12], [12], [10], [12], [12], [4, 12], [12], [6, 6], [4, 12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [12], [4, 12], [12], [12]]
[[12], [12], [12], [4, 12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [6, 10], [4, 4, 4, 4], [7], [12], [11], [11], [4, 4, 9], [12], [12], [6], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [10], [12], [12], [9], [12], [12], [12], [12], [6, 6], [4, 4], [4, 11], [12], [4, 4, 4, 4], [12], [12], [12], [11], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [7]]
[[12], [11], [12], [4, 4, 4, 4], [9], [11], [12], [12], [12], [12], [12], [12], [12], [12], [4, 4, 4], [10], [12], [12], [12], [6, 6], [12], [12], [12], [12], [12], [], [12], [7], [4, 4, 4, 4]]
[[12], [12], [10], [4, 4, 4, 4], [12], [12], [], [4, 4, 4, 4], [12], [12], [12], [6, 6], [12], [7], [9], [12], [11], [12], [12], [], [12], [12], [12], [12], [12], [12], [12], [12], [4, 4, 4], [11]]
[[12], [12], [7], [12], [12], [], [], [11], [4, 4, 4], [12], [12], [12], [12], [12], [12], [4, 4], [11], [6, 6], [12], [4, 4, 4], [12], [9], [12], [12], [12], [12], [4, 4, 4], [10], [12], [12], [12]]
[[12], [12], [], [12], [4, 4, 4], [4, 4, 4], [12], [12], [], [12], [12], [12], [12], [12], [7], [4, 10], [], [12], [12], [4, 9], [12], [12], [12], [4, 4, 4], [12], [6, 6], [11], [12], [11], [12], [], [12]]
[[12], [4, 4, 4], [6, 6], [11], [12], [9], [12], [], [12], [4, 4, 4], [12], [12], [4], [12], [12], [12], [12], [], [12], [12], [], [12], [12], [11], [12], [], [4, 4, 4], [12], [7], [12], [4, 10], [12], [12]]
[[12], [12], [], [], [4, 4], [4, 4, 4], [12], [], [12], [4, 4, 4], [11], [6, 6], [12], [12], [12], [], [12], [12], [12], [12], [12], [12], [12], [], [10], [12], [12], [9], [12], [7], [4, 4, 4], [12], [11], [12]]
[[12], [12], [12], [], [4, 4, 4], [12], [6, 6], [11], [12], [4, 4], [12], [12], [12], [7], [12], [4, 4, 4], [12], [], [], [12], [12], [12], [11], [], [], [12], [10], [9], [12], [12], [], [12], [4, 4, 4], [12], [12]]
[[12], [12], [12], [12], [12], [12], [7], [12], [], [12], [], [4, 4, 4], [10], [4, 4, 4], [6, 6], [4, 4], [9], [11], [], [12], [4, 4, 4], [12], [12], [], [11], [12], [12], [], [12], [], [12], [12], [12], [], [12], [12]]
[[], [12], [12], [12], [4, 4, 4], [], [6, 6], [7], [12], [12], [], [12], [], [4, 4, 4], [10], [12], [], [12], [9], [12], [12], [11], [12], [12], [], [12], [12], [], [4, 4, 4], [12], [12], [12], [12], [], [12], [11], [4, 4]]
-EndAllocation

Instance: [[1], [331], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [221, 148, 110, 89, 74, 64, 56, 49, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [166, 111, 83, 67, 56, 48, 42, 37, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 12, 12], [6, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 10, 11, 12, 12, 12]]
[[12], [5, 5, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 10, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12], [10, 11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [6, 12, 12, 12]]
[[12, 12], [6, 6, 11, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12], [12, 12, 12, 12, 12, 12]]
[[], [11, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 6, 6, 12, 12, 12], [12, 12, 12], [12, 12, 12, 12, 12], [10, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [6, 6, 10, 12, 12], [11, 12, 12, 12], [5, 5, 5, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [6, 6, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [10, 11], [12, 12, 12, 12], [12, 12]]
[[12, 12], [12], [12, 12, 12], [12, 12, 12], [6, 6, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12, 12], [12], [6, 6, 11, 12], [10, 12, 12]]
[[], [6, 6], [12, 12, 12], [5, 5, 5, 5, 5, 11], [5, 5, 12, 12], [12, 12, 12], [12, 12, 12], [], [12, 12, 12], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5]]
[[12], [12, 12], [5, 5, 6, 6, 10], [12, 12], [12, 12], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 12], [11, 12], [12, 12], [12, 12], [12, 12]]
[[12], [10, 12], [5, 5, 5, 5, 5, 5], [5, 5, 12], [12, 12], [6, 6, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12]]
[[], [12, 12], [12, 12], [10, 11], [12, 12], [6, 6, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 12], [12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 12], [6, 6, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 11], [12, 12], [12, 12], []]
[[], [12, 12], [5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [6, 6, 12], [5, 5, 5, 5, 5], [], [5, 12], [12, 12], [5, 5, 5, 10]]
[[], [6, 6, 10], [12], [12, 12], [12, 12], [12], [5, 5, 5, 5, 5], [12, 12], [11, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [], [12, 12], [12, 12]]
[[], [5, 5, 5, 5], [10], [12, 12], [], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [6, 6, 12], [5, 5, 5, 5], [12, 12], [11, 12], [], [12, 12], [5, 5, 12], [5, 5, 5, 5]]
[[12], [11], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [6, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [6, 12], [10, 12]]
[[12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [6, 12], [10, 11], [5, 12], [6, 12], [12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12]]
[[12], [12], [12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [10], [12], [5, 5, 11], [5, 12], [5, 12], [6, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [6, 12]]
[[12], [12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [11], [5, 12], [12], [5, 6, 6], [5, 12], [5, 12], [12], [5, 12], [5, 12], [10], [12], [5, 12], [12], [5, 12], [12]]
[[12], [12], [12], [5, 12], [12], [5, 12], [6, 6], [5, 12], [5, 10], [12], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5], [12], [12], [12], [5, 12], [5, 5, 5], [5, 12], [11], [12]]
[[12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [10], [12], [5, 12], [5, 12], [12], [12], [5, 12], [11], [5, 12], [12], [12], [12], [5, 5, 5], [5, 12], [6, 6], [12], [12], [12]]
[[12], [5, 12], [5, 11], [12], [12], [10], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 6, 6], [], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [10], [5, 5, 5], [5, 5, 5], [5, 5, 5], [6, 6], [12], [12], [11], [5, 5, 5], [12], [12], [12]]
[[12], [12], [5, 10], [12], [12], [12], [], [6, 6], [12], [12], [12], [12], [5, 5, 5], [11], [12], [5, 5, 5], [12], [12], [12], [5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12]]
[[11], [12], [12], [12], [12], [12], [12], [5, 5, 5], [], [10], [12], [5, 5, 5], [5, 5, 5], [5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [12], [6, 6], [12], [12], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [11], [12], [12], [12], [12], [5, 10], [12], [5, 5, 5], [6, 6], [], [12], [12], [5], [5, 5, 5], [12], [], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [11], [10], [12], [5, 5], [5], [12], [5, 5], [5, 5], [12], [5, 6], [12], [12], [12], [12], [12], [5, 5], [6], [], [5, 5], [12], [12]]
[[12], [12], [], [12], [5, 5], [5, 5], [12], [12], [12], [10], [12], [12], [], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [6, 6], [12], [11], [], [5, 5]]
[[12], [12], [12], [12], [10], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5], [12], [6, 6], [5, 5], [12], [12], [5, 5], [5, 5], [11], [12], [12], [], [12], [], [12], [], [5, 5], [12], [12], [5, 5]]
[[12], [12], [12], [12], [12], [10], [12], [12], [], [5, 5], [11], [12], [12], [], [12], [5, 5], [6, 6], [], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [5, 5], [], [12], [5, 5], [12], [12], [5, 5]]
[[], [5, 5], [12], [12], [11], [12], [12], [], [12], [12], [12], [12], [12], [12], [12], [], [12], [12], [5, 5], [5, 5], [12], [5, 5], [12], [12], [], [12], [5, 5], [], [], [6, 6], [10], [5, 5], [12], [12], [5, 5]]
[[12], [], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [5, 5], [12], [12], [12], [12], [], [12], [12], [12], [6, 6], [], [], [12], [], [10], [12], [], [12], [5, 5], [12], [], [5, 5], [5, 5]]
[[12], [5, 5], [6, 6], [12], [12], [12], [12], [], [5, 5], [], [5, 5], [11], [], [5, 5], [12], [], [12], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [12], [12], [12], [5, 5], [], [10], [5, 5], [12], [], [12], [12]]
-EndAllocation

Instance: [[1], [330], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [220, 146, 110, 88, 73, 64, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [165, 110, 83, 66, 55, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 9, 9, 9, 9, 10, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12], [5, 10, 11, 11, 11, 11, 11], [6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 11, 11, 11], [10, 11, 11], [7, 7, 12, 12, 12, 12, 12, 12, 12, 12], [5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 10, 12, 12, 12], [7, 7, 9, 9, 9, 9, 12, 12, 12], [5], [11, 11, 11, 11, 11, 12, 12], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8]]
[[9, 12, 12, 12, 12, 12], [9, 11, 11, 11, 11, 11], [7, 7], [5, 10, 12, 12], [6, 6, 6, 6, 6, 6, 6, 9, 9, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[9, 9, 9, 9, 12, 12], [10], [6, 6, 6, 6, 6, 6, 6], [12, 12, 12, 12, 12], [11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8], [5, 7, 7, 8, 12]]
[[8, 8, 8, 8, 8, 8, 8], [8, 8, 9, 9, 9, 9], [11, 11, 11, 11, 11], [], [6, 6, 6, 6, 6, 6, 6, 10], [7, 7], [5, 12, 12, 12, 12], [12, 12, 12, 12]]
[[5, 8, 8, 8], [7, 7], [10], [6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 11], [12, 12, 12, 12], [12, 12, 12, 12], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8], [5, 9, 9, 9, 9], [7, 7, 12, 12], [11, 11, 11, 11], [8, 8, 8, 8, 12], [], [12, 12, 12], [6, 11, 12, 12], [10], [6, 6, 6, 6, 6, 6]]
[[12, 12, 12], [9, 9, 9, 9], [5, 10], [11, 11], [8, 8, 8, 8], [6], [12, 12, 12], [11, 11, 11], [6, 6, 6, 6, 6, 6], [7, 7, 12, 12], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12], [10], [8, 8, 8, 8], [8], [6, 6, 12, 12], [7, 7], [5, 6, 6, 6, 6, 6], [12, 12, 12], [11, 11, 11], [11, 11]]
[[6, 6, 6, 12], [8, 8, 8, 8], [], [9, 9, 9], [5], [11, 11, 11], [6, 12, 12], [6, 12, 12], [8, 9, 12], [6, 7, 7, 12], [6, 10], [11, 11, 12], [8, 8, 8, 8]]
[[8, 8, 8], [12, 12], [11, 11], [11, 11], [12, 12], [12, 12], [9, 9, 12], [5, 11, 12], [6, 7, 7, 9], [6, 8, 8, 8], [6, 6, 6, 6, 6], [9], [10], [8, 8, 8]]
[[8, 8, 8], [9, 9, 9], [12], [11, 11], [11, 12], [10, 12], [11, 11], [5, 6, 6, 6, 6], [8, 8, 12], [6, 8, 8], [6, 6, 12], [9], [7, 7, 12], [12], [8, 8, 12]]
[[8, 8, 8], [7, 7], [9, 9, 9], [9, 11], [10], [12, 12], [12], [6, 11, 11], [5, 6, 12], [8, 8, 8], [12, 12], [6, 6, 6, 6], [8, 8, 8], [11, 11], [6], [12, 12]]
[[8, 8, 8], [12, 12], [11], [7, 7], [], [8, 8, 8], [6, 6, 6, 6], [6, 6, 10], [5, 11], [8, 8, 8], [12, 12], [12, 12], [12, 12], [11, 11], [6, 9, 9], [9, 9], [11]]
[[8, 8, 8], [7, 7], [12, 12], [5, 10], [12, 12], [11, 11], [6, 6, 6, 6], [6, 9, 9], [8, 8, 8], [12, 12], [], [6, 6, 11], [11, 11], [], [9, 9], [8, 8, 8], [12, 12], []]
[[6, 8, 8], [7, 7], [11], [6, 6, 6, 6], [12, 12], [12, 12], [], [12, 12], [6, 9, 9], [8, 8], [8, 8], [], [8, 10], [5, 6], [9, 9], [8, 8], [11, 11], [11, 11], [12, 12]]
[[8, 12], [12], [11], [12], [6, 8], [11, 11], [5, 6, 6], [9, 10], [8, 12], [6, 8, 8], [6, 6, 6], [8, 12], [9, 12], [8, 8], [], [11, 11], [12], [9, 9], [7, 7], [8, 12]]
[[6, 11], [7, 12], [11], [11], [6, 12], [6, 6, 6], [9, 9], [6, 12], [5, 8, 8], [8, 8], [8, 8], [6, 11], [8, 12], [12], [12], [12], [12], [8, 8], [7, 11], [9, 9], [10]]
[[8, 8], [12], [7, 7], [5, 11], [6, 12], [6, 12], [8, 12], [8, 8], [8, 8], [6, 6, 6], [8, 8], [12], [11], [12], [11], [6, 12], [9, 9], [9, 9], [10], [11], [6, 12], [11]]
[[5, 12], [12], [7, 7], [8, 12], [9, 9], [8, 8], [6, 10], [6, 11], [8, 8], [6, 11], [8, 8], [8, 8], [11], [11], [12], [6, 6, 6], [9, 9], [12], [12], [12], [6, 11], [12], []]
[[8, 8], [11], [12], [12], [10], [12], [6, 6, 6], [5, 6, 6], [6, 12], [8, 8], [8, 8], [6, 11], [11], [12], [8, 8], [12], [9, 9], [12], [9, 9], [8], [12], [7, 7], [11], [11]]
[[6, 11], [7, 7], [12], [12], [9, 9], [8], [6, 6, 6], [6, 6], [8, 8], [8, 8], [8, 8], [], [11], [11], [12], [9, 9], [8, 8], [12], [10], [12], [12], [11], [6, 12], [12], [5, 11]]
[[12], [12], [9], [6, 10], [], [6, 6], [8, 8], [7, 7], [12], [8, 8], [6, 11], [6, 6], [12], [12], [12], [6, 11], [11], [8, 9], [5], [12], [11], [8, 9], [12], [8, 9], [8, 8], [11]]
[[8, 8], [11], [12], [12], [10], [12], [6, 6], [5, 9], [6, 6], [8, 8], [7, 7], [8, 8], [8, 9], [], [12], [9], [12], [9], [12], [12], [11], [11], [6, 6], [6, 11], [12], [11], [8, 8]]
[[8, 8], [8, 8], [11], [6, 9], [6, 6], [12], [12], [6, 9], [8, 8], [6, 8], [8, 8], [9], [6, 6], [11], [12], [11], [5, 10], [11], [7, 7], [12], [], [12], [9], [11], [12], [12], [12], []]
[[6, 6], [9], [10], [12], [12], [11], [9], [6, 6], [6, 8], [8, 8], [8, 8], [12], [7, 7], [12], [8, 8], [5, 11], [11], [12], [9], [12], [8, 8], [12], [], [6, 6], [], [12], [11], [11], [9]]
[[9], [12], [8], [11], [12], [6, 8], [11], [11], [6, 6], [6, 8], [9], [6, 8], [8], [12], [8], [12], [7, 7], [12], [9], [8], [11], [6, 8], [12], [12], [9], [10], [11], [12], [6, 8], [5]]
[[12], [8], [12], [11], [11], [6, 6], [8], [8], [5, 9], [6, 6], [6, 6], [12], [10], [12], [8], [8], [9], [8], [12], [6, 8], [9], [11], [12], [11], [12], [12], [9], [11], [8], [7, 7], [8]]
[[6, 8], [12], [8], [9], [6, 8], [5, 9], [12], [12], [11], [12], [8], [8], [8], [11], [12], [9], [12], [11], [11], [10], [7, 7], [12], [9], [6, 6], [8], [12], [11], [6], [], [8], [8], [6, 6]]
[[12], [9], [8], [7], [12], [11], [9], [12], [6, 6], [8], [], [12], [6, 7], [8], [5, 8], [9], [8], [12], [6, 6], [8], [8], [8], [12], [11], [12], [8], [6, 6], [11], [11], [9], [11], [12], [10]]
[[9], [8], [8], [10], [6, 7], [8], [8], [5, 8], [6, 6], [8], [6], [12], [12], [9], [], [8], [11], [11], [12], [12], [9], [], [11], [9], [8], [12], [12], [8], [12], [11], [12], [6, 6], [6, 7], [11]]
[[8], [8], [6, 6], [6, 7], [8], [8], [8], [7], [11], [12], [], [10], [9], [12], [11], [12], [12], [6, 6], [9], [9], [8], [12], [12], [11], [6, 6], [], [12], [5, 8], [12], [], [11], [9], [8], [11], [8]]
[[6, 6], [6, 6], [8], [8], [8], [8], [8], [8], [5, 8], [6], [12], [7], [12], [11], [12], [8], [11], [11], [12], [8], [], [9], [9], [11], [12], [6, 6], [9], [12], [], [12], [12], [7], [], [10], [11], [9]]
[[8], [6, 6], [8], [8], [8], [8], [11], [], [8], [9], [], [10], [], [11], [9], [8], [12], [6, 6], [12], [12], [12], [12], [11], [11], [9], [5, 7], [7], [8], [6, 6], [9], [], [12], [12], [11], [12], [6], [8]]
-EndAllocation

Instance: [[1], [329], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [220, 146, 110, 88, 73, 62, 56, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [165, 110, 83, 66, 55, 47, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[3, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12], [4, 6, 6, 6, 6, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11]]
[[6, 6, 6, 6, 9, 9, 9, 9, 11, 11, 12, 12, 12, 12, 12], [3, 4, 10, 10, 10, 10, 10, 10, 11, 11, 12], [8, 8, 8, 8, 8, 8, 8, 8, 11, 11]]
[[8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11], [3, 4, 6, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9], [12, 12, 12, 12, 12, 12], [10, 10, 10, 10, 10, 10]]
[[3, 4, 6, 6, 6, 10, 10, 10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 11, 11, 11, 11, 11, 11], [12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 6, 12, 12, 12, 12], [4, 11, 11, 11, 11, 11, 12], [11, 12], [10, 10, 10, 10, 10, 10], [3, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 4, 6, 8, 8, 8, 8, 8, 8], [6, 6, 6, 8, 10, 10, 10], [10, 10, 10, 12], [], [11, 11, 11, 11, 11], [12, 12, 12, 12, 12], [8, 9, 9, 9, 9, 11]]
[[3, 6, 6, 6, 6, 8, 8, 8], [8, 8, 8, 9, 9], [11, 11, 11, 11, 11], [8, 8, 9, 9], [10, 10, 10, 10, 10], [], [10, 12, 12, 12], [4, 11, 12, 12, 12]]
[[3, 4, 6, 6, 6, 6, 11], [8, 8, 10, 10], [10, 10, 10, 10], [], [9, 9, 9, 9, 11], [12, 12], [12, 12, 12, 12], [11, 11, 11, 11], [8, 8, 8, 8, 8, 8]]
[[3, 4, 8, 8, 8, 8], [6, 9, 9, 12], [9, 9], [11, 11, 11, 11], [8, 8, 8, 8], [], [12, 12, 12], [10, 10, 11, 11], [10, 10, 10, 10], [6, 6, 6, 12, 12]]
[[3, 12, 12, 12], [9, 9, 9, 9], [10, 10, 10, 10], [11], [8, 8, 8, 11], [11], [4, 11, 12, 12], [10, 10, 11], [11], [6, 6, 6, 6, 12], [8, 8, 8, 8, 8]]
[[3, 4, 6, 6, 6, 12], [9, 9, 9, 9], [12, 12, 12], [10, 10, 10], [10], [8, 8, 8], [11, 12, 12], [], [8, 10, 10], [6, 8, 8, 8], [8, 11, 11], [11, 11, 11]]
[[3, 6, 6, 6, 12], [12, 12], [], [9, 9, 9], [4, 9], [11, 11, 11], [10, 10, 10], [12, 12], [8, 8, 8, 8], [6, 12], [10, 10, 10], [11, 11, 11], [8, 8, 8, 8]]
[[4, 6, 6, 6, 8], [12, 12], [11, 11], [11, 11], [10, 10, 10], [12, 12], [9, 11, 11], [12, 12], [], [6, 8, 8, 9], [3, 8, 9, 9], [8, 8], [10, 10, 10], [8, 8]]
[[3, 8, 8, 8], [9, 9, 9], [], [4, 11, 11], [12, 12], [10, 10], [11, 11], [12, 12], [8, 8, 8], [6, 6, 6, 6], [12, 12], [9, 10, 10], [8, 8], [11, 11], [10, 10]]
[[3, 4, 8, 8], [8], [9, 9, 9], [11, 11], [10, 10], [12, 12], [10, 10], [11, 11], [8, 10, 10], [8, 8], [12, 12], [6, 6, 9], [6, 6, 8, 8], [11, 11], [], [12, 12]]
[[3, 10, 10], [12, 12], [], [11], [11, 11], [8, 8, 8], [11, 11], [10, 10], [8, 8, 8], [4, 6, 6, 6], [12, 12], [8, 12], [8, 12], [6, 11], [9, 9], [9, 9], [10, 10]]
[[8, 8, 8], [], [12, 12], [4, 10, 10], [12, 12], [11, 11], [], [9, 9], [8, 8, 8], [3, 11, 11], [6, 6, 6, 6], [11, 11], [9, 9], [10, 10], [10, 10], [8, 8], [12, 12], []]
[[3, 4, 6, 11], [], [], [12, 12], [10, 10], [12, 12], [10, 10], [6, 11], [9, 9], [8, 8, 8], [8, 8], [6, 6], [10, 10], [], [9, 9], [8, 8, 8], [11, 11], [11, 11], [12, 12]]
[[3, 8], [11], [10, 10], [12], [9, 9], [11, 11], [6, 6], [10, 12], [12], [4, 6, 8], [6, 8, 8], [10, 12], [11], [8, 8], [10, 10], [11, 11], [12], [9, 9], [12], [8, 8]]
[[3, 8, 8], [11], [8, 12], [4], [12], [], [9, 9], [9, 9], [8, 8], [12], [6, 12], [8, 11], [6, 11], [11], [10, 10], [6, 12], [6, 12], [8, 11], [10, 10], [8, 11], [10, 10]]
[[4, 6, 6], [10, 10], [11], [12], [12], [10, 10], [10, 10], [8, 8], [6, 11], [8, 8], [3, 8, 8], [8, 12], [11], [6, 12], [12], [8, 9], [9, 11], [9, 9], [], [11], [12], [11]]
[[3, 4, 12], [12], [11], [11], [9, 9], [8, 8], [10, 10], [9], [6, 12], [8, 8], [8, 8], [8, 8], [6, 10], [6, 10], [6, 12], [11], [9, 11], [], [12], [12], [11], [10, 10], [11]]
[[3, 10], [9, 9], [], [12], [12], [11], [8, 8], [8, 10], [10], [8, 10], [8, 8], [4, 12], [8, 10], [6, 11], [12], [11], [11], [8, 10], [11], [11], [6, 6, 6], [9, 9], [12], [12]]
[[8, 10], [8], [8, 10], [], [9, 9], [], [9, 9], [8, 10], [4, 6, 8], [6, 12], [8, 10], [6, 11], [6, 12], [11], [11], [12], [12], [12], [12], [11], [3], [8, 10], [11], [8, 10], [11]]
[[8, 8], [12], [10], [11], [8, 9], [6, 11], [12], [11], [6, 11], [8, 8], [4, 12], [3, 12], [6, 11], [], [6, 9], [11], [10], [10], [10], [10], [10], [12], [12], [8, 9], [8, 8], [9]]
[[8, 8], [12], [11], [11], [9], [10], [9], [8, 9], [10], [8, 8], [6, 10], [6, 11], [6, 10], [9], [12], [3, 12], [6, 10], [12], [], [4, 8], [12], [11], [11], [11], [12], [10], [8, 8]]
[[6, 9], [8, 8], [10], [10], [9], [], [11], [], [6, 9], [6, 10], [8, 8], [11], [12], [11], [11], [12], [11], [4, 10], [8, 8], [6, 10], [9], [12], [8, 8], [10], [11], [3, 12], [12], [12]]
[[3, 6, 6], [12], [9], [12], [11], [9], [10], [11], [6, 6], [8, 8], [8, 8], [12], [8, 8], [10], [10], [11], [4, 11], [9], [11], [12], [8, 8], [10], [10], [12], [10], [9], [], [11], [12]]
[[12], [12], [12], [6, 8], [12], [6, 8], [11], [10], [10], [12], [3, 8], [9], [10], [12], [11], [9], [10], [8], [11], [11], [4, 10], [6, 8], [11], [9], [9], [11], [10], [8], [6, 8], [8]]
[[3, 8], [11], [6, 6], [10], [8], [8], [12], [11], [12], [12], [10], [12], [6, 8], [12], [10], [8], [6, 8], [9], [11], [9], [9], [8], [11], [12], [10], [8], [10], [9], [11], [11], [4, 10]]
[[4, 9], [11], [3], [11], [10], [11], [10], [12], [10], [6, 8], [9], [6, 8], [6, 8], [11], [6, 8], [12], [12], [8], [8], [11], [10], [10], [10], [8], [12], [11], [12], [], [12], [8], [9], [9]]
[[8], [9], [12], [10], [10], [10], [8], [6], [8], [9], [12], [4, 9], [8], [12], [12], [8], [11], [12], [6], [11], [10], [11], [11], [10], [6, 6], [8], [8], [12], [11], [8], [9], [11], [3, 10]]
[[10], [4, 8], [6, 6], [8], [11], [12], [9], [12], [10], [8], [10], [11], [8], [9], [11], [9], [10], [9], [8], [12], [8], [10], [11], [], [12], [8], [12], [10], [11], [], [11], [12], [3, 8], [6, 6]]
[[8], [], [10], [11], [6, 6], [3, 8], [11], [4, 8], [], [9], [10], [9], [8], [12], [12], [11], [12], [8], [11], [], [9], [10], [12], [10], [11], [10], [8], [12], [11], [8], [12], [9], [8], [6, 6], [10]]
[[10], [9], [6, 6], [8], [8], [3, 8], [9], [4, 8], [6, 6], [9], [10], [], [12], [11], [12], [8], [10], [10], [11], [], [11], [], [8], [], [11], [11], [10], [12], [12], [12], [8], [8], [12], [11], [10], [9]]
[[8], [8], [8], [10], [10], [8], [11], [9], [8], [10], [], [10], [10], [8], [9], [9], [12], [11], [11], [9], [12], [12], [11], [11], [10], [12], [8], [12], [12], [], [6], [], [8], [6, 6], [11], [6], [3, 4]]
-EndAllocation

Instance: [[1], [328], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [218, 146, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [164, 110, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 4, 8, 11, 11], [4, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12]]
[[9], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12], [6, 8, 12, 12, 12, 12, 12, 12], [4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [11, 11, 12, 12, 12, 12]]
[[], [4, 4, 4, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [6, 11, 11, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [8, 9, 12, 12, 12, 12]]
[[], [6, 8, 12, 12, 12, 12], [11, 11, 12, 12, 12], [4, 4, 4, 12, 12, 12, 12], [9, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 12, 12, 12, 12], [5, 8, 12, 12, 12], [11, 11, 12, 12], [4, 4, 4, 12, 12, 12], [9, 12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [6, 9], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [4, 4, 4, 5, 5, 8, 11]]
[[], [9, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 12, 12], [12, 12, 12], [12, 12, 12], [6, 12, 12, 12], [4, 4, 4, 12, 12], [8, 12]]
[[], [4, 4, 4, 12], [12, 12, 12], [12, 12, 12], [9, 12, 12], [12, 12, 12], [5, 5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [6, 11, 11, 12], [8], [12, 12, 12]]
[[], [12, 12, 12], [6, 12, 12], [4, 4, 4, 8, 9], [12, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [], [11, 11, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 12, 12], [12, 12], [4, 4, 4, 12], [5, 5, 5, 5, 5, 5], [12, 12], [8, 12, 12], [5, 5, 5, 5, 5, 9], [12, 12], [11, 11, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [9, 12], [11, 11], [6, 12, 12], [4, 4, 4, 12], [8, 12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [6, 11, 11], [8, 12], [12, 12], [4, 4, 4, 12], [5, 12, 12], [5, 5, 5, 5, 5], [9], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [8, 12], [12, 12], [5, 12], [5, 5, 5, 5, 5], [4, 4, 4, 12], [12, 12], [11, 11], [9, 12], [6], [12, 12], [12, 12]]
[[], [12, 12], [], [5, 5, 5, 5, 5], [5, 12], [6], [4, 4, 4, 12], [12, 12], [11, 11], [12, 12], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [8, 12]]
[[], [], [5, 9], [8, 12], [12, 12], [6, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [4, 4, 4, 12], [11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12], [12, 12], [12, 12]]
[[], [11, 11], [9], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [4, 4, 4, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [8, 12], [12, 12], [12, 12], [6, 12], [5], []]
[[12], [5, 5, 12], [4, 4, 5, 5], [4, 12], [5, 5, 12], [12], [12], [6, 12], [5, 5, 12], [8, 12], [12], [12], [5, 5, 12], [5, 12], [12], [12], [11, 11], [12], [9, 12], [12]]
[[12], [6, 12], [12], [5, 12], [12], [9, 12], [11], [12], [5, 12], [5, 12], [5, 12], [5, 12], [4, 4, 4, 5], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [8, 12], [11]]
[[12], [5, 12], [5, 12], [12], [5, 12], [12], [11], [8, 12], [5, 12], [12], [12], [9, 11], [5, 12], [12], [4, 4, 4, 6], [5, 12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12]]
[[12], [12], [5, 12], [9], [12], [5, 12], [12], [5, 12], [11], [12], [8, 12], [12], [6, 12], [12], [12], [5, 12], [5, 12], [11], [5, 12], [5, 5, 5, 5], [12], [4, 4, 4, 5], [12]]
[[12], [12], [5, 5, 5], [12], [12], [6, 12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [4, 4, 4], [11], [5, 12], [8, 9], [11], [5, 5, 5]]
[[12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [6, 12], [8], [11], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 12], [5, 9], [4, 4, 4, 5]]
[[12], [12], [12], [5, 5, 5], [12], [4, 4, 4], [12], [12], [12], [12], [5, 5, 5], [5, 12], [9], [12], [12], [12], [12], [6, 11], [8], [12], [5, 5, 5], [12], [5, 12], [12], [12], [11]]
[[12], [12], [8], [12], [12], [5, 5, 5], [11], [12], [4, 4, 4], [11], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [9], [12], [12], [12], [12], [5, 12], [6], [5, 12], [12], [12], [12]]
[[11], [5, 8], [5, 9], [5, 5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 11], [12], [12], [12], [5, 5, 5], [4, 4, 4], [12], [12], [12], [12], [12], [12], [], [6], [12], [12], [12], [12]]
[[12], [12], [4, 4, 4], [5, 5, 5], [6], [12], [12], [12], [12], [12], [12], [12], [9], [], [12], [5, 5, 5], [12], [8], [12], [11], [5], [5, 5, 5], [5, 11], [12], [12], [12], [12], [12], [12]]
[[], [5, 5], [12], [12], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [9], [12], [12], [5, 8], [4, 4, 4], [12], [12], [12], [5, 5], [12], [12], [5, 5], [6]]
[[12], [12], [11], [12], [4, 4, 4], [12], [12], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [], [12], [12], [5, 5], [5, 6], [5, 9], [12], [11], [12], [5, 5], [5, 8], [12], [], [12]]
[[12], [12], [], [12], [11], [12], [12], [12], [11], [12], [12], [], [12], [5, 6], [12], [], [5, 5], [5, 5], [12], [5, 8], [12], [12], [5, 9], [12], [12], [12], [5, 5], [12], [12], [4, 4, 4], [5, 5], []]
[[5, 5], [12], [12], [], [5, 5], [12], [], [5, 8], [12], [12], [11], [12], [12], [6], [12], [4, 4, 4], [12], [12], [], [12], [12], [12], [9], [5, 5], [12], [12], [11], [12], [5, 5], [12], [], [5, 5], [12]]
[[12], [6], [12], [12], [4, 4, 4], [5, 5], [12], [11], [12], [5, 8], [5, 5], [12], [5, 5], [12], [], [12], [], [], [12], [12], [12], [12], [5, 5], [12], [], [11], [5, 5], [12], [12], [], [12], [12], [9], [12]]
[[12], [], [], [12], [12], [12], [5, 5], [11], [12], [8], [12], [9], [4, 4, 4], [12], [12], [12], [12], [12], [5], [5, 5], [], [], [5, 5], [12], [11], [12], [5, 5], [12], [5, 5], [12], [12], [12], [], [12], [6]]
[[12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [], [], [12], [8], [12], [12], [12], [11], [9], [12], [], [], [12], [6], [12], [12], [12], [5], [12], [4, 4, 4], [12], [5, 5], [5, 5], [], [11], [5, 5], []]
[[12], [], [5, 5], [], [5, 5], [4, 4, 4], [12], [], [12], [5, 5], [12], [12], [5, 5], [8], [5, 5], [12], [12], [5], [12], [], [12], [], [9], [12], [11], [], [6], [12], [], [12], [12], [12], [12], [12], [12], [12], [11]]
-EndAllocation

Instance: [[1], [327], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [218, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [164, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [3, 3, 6, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]]
[[7, 7, 7, 8, 8, 9, 9, 9, 9], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11], [3, 3, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12]]
[[3, 3, 8, 8, 8, 12, 12, 12, 12, 12], [6, 6, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11]]
[[10, 10, 10, 10, 10, 12], [3, 3, 7, 7, 7, 9, 9, 9, 9, 12], [6, 6, 6, 6, 12], [11, 11, 11, 11, 11, 11, 12], [8, 8, 8, 8, 8, 8, 8, 8, 12]]
[[3, 10, 12, 12, 12, 12, 12], [3, 11, 11, 11, 11, 11, 11], [], [6, 6, 6, 6, 10, 10, 10, 10], [7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8]]
[[3, 3, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 11], [6, 6, 6, 6], [7, 7, 7], [11, 11, 11, 11, 11], [12, 12, 12, 12, 12], [8, 9, 9, 9, 9]]
[[3, 3, 6, 6, 6, 6, 8, 8, 8], [8, 8, 8, 8], [8, 11, 11, 11, 11], [], [10, 10, 10, 10, 10], [7, 7, 7, 11, 11], [9, 9, 9, 9, 12], [12, 12, 12, 12]]
[[3, 3, 8, 8, 10], [10, 10, 10, 10], [7, 7, 7, 12], [], [9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [11, 11, 11, 11], [6, 6, 6, 6, 11, 11], [12, 12, 12, 12]]
[[3, 3, 6, 8, 8, 8], [9, 9, 9, 9], [7, 7, 7], [11, 11, 11, 11], [8, 8, 8, 8, 8], [], [12, 12, 12], [10, 11, 11], [10, 10, 10, 10], [6, 6, 6, 12, 12]]
[[3, 12, 12, 12], [9, 9, 9, 9], [10, 10, 10, 10], [10], [8, 8, 8, 8, 8], [], [12, 12], [11, 11, 11], [6, 11, 11, 11], [3, 6, 6, 6, 7, 7], [7, 8, 8, 8]]
[[3, 8, 8, 8, 8], [9, 9, 9, 9], [12, 12], [6, 10, 10], [], [8, 8, 8, 8], [12, 12, 12], [7, 7, 7], [6, 10, 10, 10], [3, 6, 11, 11], [6, 11, 11], [11, 11]]
[[3, 3, 12, 12], [12, 12], [11], [9, 9, 9], [], [11, 11, 11], [8, 9, 10], [6, 6, 6, 6, 8], [8, 8, 8, 8], [7, 7, 7], [10, 10, 10], [10, 11, 12], [8, 8, 11]]
[[3, 3, 8], [8, 12, 12], [8, 11], [7, 7, 11], [10, 10], [12], [9], [12, 12], [6, 6, 6, 6, 7], [8, 9, 11], [8, 9, 11], [8, 9, 11], [8, 10, 10], [8, 10, 11]]
[[3, 8, 8, 8], [9, 9, 9], [12], [11, 11], [], [10, 10], [11, 11], [12, 12], [8, 8, 8], [6, 6, 6, 11], [3, 12, 12], [9, 10, 10], [7, 7, 7], [6, 10, 11], [8, 8]]
[[3, 3, 8, 8], [7, 7, 7], [9, 9, 9], [8, 8, 10], [10, 10], [12, 12], [10, 10], [11, 11], [12, 12], [8, 12], [6, 6, 6, 6], [], [8, 8, 8], [11, 11], [9], [11, 11]]
[[8, 8, 8], [12, 12], [], [7, 7, 7], [10], [8, 8], [11, 11], [10, 10], [11, 11], [8, 8, 8], [3, 3, 6, 6, 6], [6, 12], [12, 12], [11, 11], [9, 9], [9, 9], [10, 10]]
[[8, 8, 8], [7, 7, 7], [12, 12], [10, 10], [12], [11, 11], [], [9, 10], [8, 8, 8], [3, 3, 6, 6, 6], [6, 9], [11, 11], [11, 11], [10, 10], [9, 9], [8, 8], [12, 12], []]
[[3, 3, 6, 6, 6], [7, 7, 7], [], [12, 12], [10], [12, 12], [10, 10], [11, 11], [9, 9], [6, 8, 8], [], [8, 8, 8], [10, 10], [], [9, 9], [8, 8, 8], [11, 11], [11, 11], [12]]
[[6, 8, 8], [], [], [10, 12], [9, 9], [11, 11], [12], [10, 10], [12], [3, 3, 8, 8], [6, 12], [6], [11, 11], [8, 8], [10, 10], [11, 11], [6, 12], [9, 9], [7, 7, 7], [8, 8]]
[[8, 11], [7, 7, 7], [11], [10, 11], [12], [11], [9, 9], [8, 11], [8, 8], [3, 8, 8], [3, 6, 6, 6], [6, 11], [], [12], [], [8, 12], [12], [8, 12], [10, 10], [9, 9], [10, 10]]
[[3, 3, 10], [11], [7], [10, 10], [6, 11], [12], [11], [10, 10], [8, 8], [8, 8], [8, 8], [6, 12], [6, 11], [6, 12], [12], [8, 8], [9, 9], [9, 9], [7, 7], [11], [12], [11]]
[[3, 3, 11], [7, 7], [11], [12], [9, 9], [8, 12], [8, 8], [8, 10], [8, 8], [10, 10], [6, 6, 8], [6, 8], [6, 11], [10, 10], [12], [7, 11], [9, 9], [12], [11], [12], [11], [], []]
[[8, 8], [10], [12], [12], [11], [12], [9], [7, 10], [8, 8], [6, 11], [8, 8], [3, 3, 10], [6, 12], [8, 8], [6, 11], [6, 9], [7, 9], [11], [11], [12], [10], [11], [9], [7, 10]]
[[8, 8], [7, 10], [11], [12], [9, 9], [6, 12], [11], [11], [6, 6, 6], [8, 8], [3, 3, 11], [12], [10], [8, 8], [8, 8], [9, 9], [10], [10], [11], [], [7, 7], [11], [12], [12], [10]]
[[3, 12], [8], [12], [10], [8], [8, 9], [7, 10], [10], [8, 8], [6, 9], [3, 8], [6, 11], [6, 10], [12], [8, 9], [6, 11], [12], [11], [11], [11], [11], [10], [7, 7], [], [8, 9], [12]]
[[6, 8], [10], [9], [12], [10], [6, 10], [11], [8], [3, 3, 6], [8, 8], [7, 7], [8, 8], [9], [12], [11], [6, 9], [11], [12], [10], [12], [7, 9], [11], [10], [11], [12], [11], [8, 8]]
[[3, 3, 6], [12], [11], [10], [6, 9], [9], [11], [6], [6, 8], [8, 8], [8, 8], [7, 9], [11], [10], [8], [10], [8, 8], [11], [7, 7], [12], [10], [11], [9], [11], [12], [12], [12], [10]]
[[3, 11], [12], [9], [12], [10], [11], [6, 6], [11], [11], [3, 6], [6, 8], [12], [8], [7, 7], [7, 8], [8], [9], [10], [8, 8], [9], [9], [12], [10], [10], [8, 8], [11], [10], [11], [12]]
[[12], [10], [9], [11], [9], [6, 8], [11], [9], [10], [3, 11], [3, 8], [9], [8], [11], [10], [11], [8], [6, 8], [12], [8], [12], [12], [11], [10], [7, 7], [6, 8], [6, 7], [8], [10], [12]]
[[3, 3, 8], [9], [10], [12], [8], [10], [], [11], [7, 7], [9], [12], [6, 7], [10], [6, 8], [6, 8], [9], [8], [11], [11], [10], [8], [11], [12], [11], [9], [12], [6, 8], [11], [10], [8], [12]]
[[3, 10], [8], [11], [], [6, 6], [7], [12], [11], [10], [3, 8], [12], [8], [7, 7], [12], [9], [11], [8], [9], [8], [9], [10], [6, 8], [12], [11], [11], [12], [10], [10], [8], [9], [6, 8], [11]]
[[12], [8], [9], [11], [11], [10], [10], [8], [3, 3], [8], [12], [9], [11], [9], [12], [8], [8], [6, 6], [10], [11], [11], [8], [6, 7], [6, 7], [10], [8], [7], [12], [10], [11], [8], [12], [9]]
[[3, 6], [6, 6], [6, 7], [9], [8], [12], [8], [10], [7], [7], [11], [8], [10], [8], [11], [8], [11], [9], [10], [11], [8], [10], [11], [9], [], [12], [12], [8], [12], [9], [12], [11], [10], [3, 8]]
[[6, 7], [6, 7], [9], [11], [11], [10], [10], [6, 6], [9], [8], [12], [9], [8], [10], [11], [12], [12], [8], [11], [8], [12], [11], [10], [], [10], [], [11], [8], [12], [7], [9], [8], [8], [8], [3, 3]]
[[8], [6], [11], [8], [10], [11], [8], [6, 7], [], [10], [10], [10], [12], [9], [12], [10], [8], [8], [9], [9], [12], [9], [8], [11], [11], [11], [6, 7], [11], [], [12], [8], [], [12], [8], [6], [3, 3, 7]]
[[8], [11], [10], [8], [7], [10], [10], [10], [12], [12], [], [11], [11], [6, 6], [12], [12], [8], [8], [8], [8], [8], [], [11], [11], [9], [7], [7], [8], [9], [9], [], [11], [12], [10], [9], [6, 6], [3, 3]]
-EndAllocation

Instance: [[1], [326], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [217, 145, 109, 88, 73, 62, 54, 49, 44, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [163, 109, 82, 66, 55, 47, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]]
[[7, 7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11], [4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12]]
[[8, 8, 8, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 10, 10, 10, 10, 10], [9, 9, 9, 9], [8, 8, 11, 11, 11, 11, 11, 11, 11, 11]]
[[4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 12], [7, 7, 7, 7, 9, 9, 9, 9, 12, 12], [12], [11, 11, 11, 11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 12]]
[[12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 11, 11, 11, 11], [11, 11, 11, 11], [10, 10, 10, 10, 10], [7, 7, 7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 11, 11], [10, 10, 10], [], [7, 7, 7, 7, 10, 10, 11], [11, 11, 11, 11, 11], [4, 4, 4, 4, 4, 4, 12, 12, 12], [9, 9, 9, 9, 12, 12]]
[[4, 4, 4, 4, 4, 4, 8, 11], [8, 8, 8, 8, 11, 11], [11, 11], [11], [10, 10, 10, 10, 10], [7, 7, 7, 7, 11, 11], [9, 9, 9, 9, 12], [12, 12, 12, 12]]
[[10], [4, 4, 10, 10, 10, 10], [7, 7, 7, 7, 9, 12], [], [4, 4, 4, 4, 9, 9, 9], [8, 8, 8, 8, 8], [11, 11, 11, 11], [11, 11, 11, 11], [12, 12, 12, 12]]
[[4, 4, 4, 4, 4, 4, 8, 8], [9, 9, 9, 10], [7, 7, 7, 7], [11, 11, 11, 11], [8, 8, 11, 11], [], [12, 12, 12], [11, 11], [10, 10, 10, 10], [8, 9, 12, 12]]
[[4, 4, 4, 4, 12, 12], [4, 9, 9, 9, 9], [10, 10, 10, 10], [11, 11], [], [], [12, 12, 12], [11, 11, 11], [4, 11, 11, 11], [7, 7, 7, 7, 10], [8, 8, 8, 8, 8]]
[[4, 4, 4, 4, 4, 4, 8], [9, 9, 9, 9], [12, 12], [10, 10, 10], [], [8, 8, 8, 8], [12, 12, 12], [7, 7, 7, 7], [10, 10], [11, 11], [11, 11, 11], [11, 11, 11]]
[[4, 4, 4, 11, 11], [12, 12], [], [9, 9, 9], [11], [11, 11, 11], [9, 10, 10], [4, 12, 12], [8], [4, 7, 7, 7, 7], [4, 10, 10, 10], [11, 11, 12], [8, 8, 8, 8]]
[[4, 4, 8, 8, 8], [12], [11, 11], [4, 4, 11, 11], [10, 10], [12, 12], [9, 11, 11], [12, 12], [4, 7, 7, 7, 7], [4, 8, 8, 9], [9, 9, 11], [11], [10, 10, 10], []]
[[4, 4, 4, 4, 4, 8], [11, 11], [9, 10], [12, 12], [11, 11], [4, 10, 10], [11, 11], [11, 11], [8], [8, 8, 8], [12], [10, 10], [7, 7, 7, 7], [9, 9, 9], [12, 12]]
[[4, 11, 11], [7, 7, 7, 7], [9, 9, 9], [9, 10], [4, 11, 11], [4, 12, 12], [10, 10], [10, 10], [12, 12], [4, 11, 12], [8, 8, 11], [8], [4, 4, 8, 8], [11, 11], [], []]
[[8, 8], [12, 12], [], [7, 7, 7], [12], [7, 10], [11, 11], [10, 10], [8, 8, 8], [4, 4, 4, 4, 4, 4], [12, 12], [11, 11], [11, 11], [11, 11], [9, 9], [9, 9], [10, 10]]
[[4, 4, 4, 4, 4, 4], [7, 7, 7], [], [9, 10], [12, 12], [11, 11], [10, 10], [9, 9], [8, 8], [11, 11], [7], [11, 11], [11, 11], [10, 10], [9, 12], [8, 8, 8], [12, 12], []]
[[4, 4, 4, 4, 4, 4], [7, 7, 7], [], [12, 12], [10, 10], [12, 12], [11, 11], [10], [9, 9], [8, 8, 8], [7, 11], [], [10, 10], [11], [9, 9], [8, 8], [11, 11], [11, 11], [12]]
[[4, 4, 4, 4, 4], [], [12], [10, 12], [9, 9], [11, 11], [12], [10, 10], [11, 11], [], [8], [7, 12], [11, 11], [4, 8, 8], [10, 10], [11, 11], [12], [9, 9], [7, 7, 7], [8, 8]]
[[8, 11], [7, 7], [11], [10, 10], [4, 4, 11], [11], [9, 9], [12], [8, 8], [4, 7, 7], [4, 8, 8], [11], [11], [12], [11], [12], [4, 4, 12], [12], [10, 10], [9, 9], [10, 11]]
[[4, 4, 4, 4, 4], [11], [10, 10], [11], [11], [11], [7, 12], [8, 11], [10], [4, 8, 8], [8, 8], [7, 12], [10, 10], [12], [11], [11], [9, 9], [9, 9], [7, 7], [11], [12], [12]]
[[4, 4, 4, 4, 4], [11], [12], [11], [9, 9], [11], [10, 10], [7, 12], [8], [4, 10], [8, 8], [8, 8], [11], [10, 10], [12], [7, 11], [9, 9], [12], [7, 7], [11], [12], [11], [11]]
[[4, 4, 10], [10], [12], [12], [12], [9, 9], [10], [7, 11], [11], [8, 8], [8, 8], [11], [11], [8, 10], [9, 9], [11], [11], [10], [4, 4, 4, 4], [12], [12], [7, 7], [11], [7, 11]]
[[8, 8], [7, 7], [12], [11], [9, 9], [10], [10], [10], [8, 8], [10], [8], [7, 11], [12], [12], [11], [9, 9], [11], [4, 11], [10], [11], [7, 11], [4, 11], [4, 4, 4, 4], [12], [12]]
[[8, 8], [4, 10], [9], [10], [11], [4, 4, 9], [7, 7], [12], [8, 8], [4, 11], [4, 8], [11], [11], [11], [12], [11], [11], [11], [7, 10], [10], [4, 12], [9], [7, 9], [12], [12], [10]]
[[4, 7], [4, 4, 4, 4], [9], [4, 10], [12], [10], [11], [9], [11], [8, 8], [7, 7], [11], [11], [11], [12], [8, 9], [11], [11], [12], [12], [7, 10], [10], [10], [11], [12], [9], [8, 8]]
[[4, 4, 7], [11], [10], [7, 9], [9], [12], [8], [11], [8, 8], [11], [8, 8], [9], [4, 4, 4, 4], [12], [12], [10], [10], [11], [7, 7], [10], [11], [9], [11], [11], [11], [12], [12], [10]]
[[4, 11], [11], [10], [], [10], [12], [9], [4, 4, 4, 4], [9], [4, 11], [8, 8], [12], [7, 7], [12], [10], [11], [9], [11], [11], [12], [8, 8], [10], [11], [8], [11], [9], [7, 7], [10], [12]]
[[11], [11], [12], [11], [12], [8], [11], [4, 8], [4, 10], [4, 10], [4, 9], [9], [8], [12], [12], [7], [11], [11], [4, 8], [9], [7], [7, 7], [10], [11], [4, 10], [9], [10], [11], [12], [8]]
[[4, 4, 4], [9], [12], [11], [9], [8], [8], [7, 7], [11], [4, 10], [4, 8], [4, 10], [], [10], [11], [9], [11], [9], [12], [11], [8], [8], [12], [11], [11], [12], [10], [12], [11], [7, 7], [10]]
[[8], [9], [11], [11], [11], [11], [11], [12], [11], [4, 4, 4], [10], [], [8], [10], [12], [8], [12], [9], [10], [4, 8], [7, 7], [12], [4, 9], [11], [9], [], [11], [8], [10], [7, 7], [4, 10], [12]]
[[12], [8], [8], [11], [9], [9], [10], [10], [4], [9], [12], [12], [4, 8], [4, 8], [4, 9], [11], [10], [12], [11], [11], [11], [4, 7], [4, 7], [11], [11], [7], [11], [8], [10], [], [12], [10], [7]]
[[], [8], [4, 4, 4], [4, 4, 4], [8], [10], [10], [8], [10], [7], [9], [9], [7], [8], [7], [11], [11], [11], [12], [11], [11], [10], [11], [9], [10], [12], [12], [7], [12], [11], [9], [12], [11], [8]]
[[4, 4], [8], [], [7], [8], [8], [7], [7], [8], [11], [4, 4, 4], [10], [10], [12], [11], [12], [11], [9], [12], [9], [], [10], [11], [11], [10], [10], [9], [12], [11], [12], [11], [11], [7], [9], [4, 8]]
[[7], [10], [4, 4, 4], [11], [], [], [10], [7], [8], [8], [], [7], [12], [11], [12], [7], [10], [11], [11], [8], [12], [9], [9], [11], [9], [10], [10], [9], [8], [4, 4, 4], [12], [11], [11], [12], [11], [8]]
[[4, 7], [11], [11], [4, 8], [8], [12], [9], [10], [], [8], [10], [10], [8], [11], [9], [], [4, 4, 4], [], [7], [], [12], [12], [11], [11], [], [10], [9], [10], [7], [9], [7], [11], [12], [11], [11], [12], [4, 8]]
-EndAllocation

Instance: [[1], [325], 37]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,37. UB Alg: [217, 145, 109, 86, 73, 62, 54, 49, 44, 40, 37, 33, 32, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [163, 109, 82, 65, 55, 47, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,37:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 12, 12, 12, 12], [4, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 12], [12, 12, 12, 12, 12, 12, 12], [4, 4, 10, 10, 10, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [10, 10, 10, 12, 12, 12], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12], [11, 12, 12, 12, 12, 12]]
[[], [4, 4, 4, 11], [12, 12, 12, 12, 12], [4, 4, 4, 12, 12, 12, 12], [12, 12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [4, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [10, 10, 10, 11], [4, 4], [12, 12, 12, 12]]
[[], [4, 4, 4, 12], [12, 12, 12], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [10, 10, 10, 12], [12, 12, 12], [12, 12, 12], [11, 12, 12]]
[[], [11, 12, 12], [12, 12, 12], [4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [10, 10, 10], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12], [12, 12, 12]]
[[], [], [12, 12, 12], [4, 4, 4, 4, 4, 12], [12, 12, 12], [12], [4, 4, 4, 4, 4, 4, 4, 4, 4], [12, 12, 12], [12, 12, 12], [11, 12, 12], [10, 10, 10], [12, 12, 12]]
[[12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [11, 12], [12, 12], [4, 4, 4, 4, 4, 4], [10, 10, 10], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [11, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4, 4], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [10, 10, 10], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [10, 10], [12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4], [11, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [10, 12], [4, 4, 4, 4, 4, 4, 4], [11], [10, 10], [12, 12], [12, 12], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4, 4], [], [12, 12]]
[[], [10, 10], [12, 12], [], [4, 4, 4, 4, 4, 4], [4, 4, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [12, 12], [10, 12], [11, 12], [4, 4, 4, 4, 4, 4], [12, 12], [12, 12]]
[[], [12, 12], [10, 10], [12, 12], [], [12, 12], [11, 12], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [12, 12], [], [], [12, 12], [4, 4, 10], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [4, 4, 4, 4, 4, 4], [], [4, 4, 4, 4, 4, 4], [11, 12], [4, 4, 12], [12, 12], [], [10], [12, 12], [], [12, 12], [12, 12], [10, 10], [12, 12], [12], [12, 12]]
[[12], [10, 12], [11], [12], [12], [12], [4, 4, 12], [10, 12], [12], [12], [12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [10, 12], [4, 4, 12], [4, 4, 12], [4, 4, 12], [12], [12]]
[[12], [12], [4, 4, 12], [4, 4, 12], [10, 10], [4, 4, 12], [12], [4, 4, 12], [4, 4, 12], [12], [4, 4, 12], [12], [12], [12], [10, 11], [12], [12], [12], [4, 4, 12], [12], [12]]
[[12], [12], [4, 4, 12], [4, 4, 12], [12], [12], [4, 4, 10], [4, 4, 12], [4, 4, 12], [12], [12], [12], [12], [4, 4, 11], [12], [12], [12], [12], [12], [10, 10], [12], [4, 4, 12]]
[[12], [12], [12], [12], [4, 4, 12], [12], [12], [12], [12], [12], [4, 4, 4, 4, 4], [10, 10], [12], [12], [12], [4, 4, 12], [4, 4, 11], [10], [12], [12], [12], [4, 4, 12], [4, 12]]
[[12], [12], [12], [12], [4, 12], [10], [12], [4, 12], [4, 4, 10], [11], [12], [4, 12], [12], [4, 4, 10], [12], [4, 4, 4, 4], [12], [12], [4, 12], [4, 12], [12], [12], [4, 12], [12]]
[[12], [12], [4, 12], [4, 11], [12], [12], [12], [4, 12], [4, 12], [10], [10], [4, 12], [4, 12], [12], [12], [12], [12], [12], [10], [12], [12], [12], [4, 4, 4, 4], [4, 4, 4, 4], [12]]
[[12], [12], [12], [12], [12], [4, 4, 4, 4], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12], [4, 12], [12], [10], [12], [12], [12], [12], [4, 4, 4, 4], [10], [12], [12], [4, 11], [10]]
[[12], [12], [11], [10], [4, 4, 4, 4], [12], [12], [12], [10], [12], [4, 4], [12], [12], [12], [12], [12], [10], [4, 4, 4, 4], [12], [12], [12], [4, 4, 4, 4], [12], [12], [12], [12], [12]]
[[12], [12], [12], [4, 4, 4, 4], [12], [12], [10], [12], [12], [10], [12], [12], [12], [12], [12], [12], [4, 4, 4, 4], [11], [10], [12], [4, 4], [12], [12], [], [12], [12], [4, 4, 4, 4], [12]]
[[12], [12], [12], [12], [10], [12], [12], [12], [4, 4, 4, 4], [12], [4, 4], [10], [11], [12], [4, 4, 4, 4], [12], [12], [12], [10], [12], [4, 4, 4, 4], [12], [], [], [12], [12], [12], [12], [12]]
[[10], [12], [4, 4, 4], [10], [12], [12], [12], [4, 4, 4], [12], [12], [12], [12], [4, 4, 4], [11], [4, 4, 4], [12], [12], [12], [12], [4, 4], [12], [12], [10], [12], [12], [12], [], [12], [12], []]
[[12], [], [12], [4, 4, 4], [12], [12], [12], [10], [12], [], [12], [12], [4, 4, 4], [12], [12], [], [12], [12], [4, 4, 4], [12], [12], [11], [12], [12], [12], [12], [4, 4, 4], [10], [12], [4, 10], [4]]
[[12], [12], [4, 4, 4], [12], [12], [], [12], [12], [12], [12], [], [10], [12], [10], [12], [4, 4, 4], [12], [10], [4, 4], [12], [12], [11], [12], [12], [12], [4, 4, 4], [12], [12], [4, 4, 4], [], [12], []]
[[12], [12], [4, 4], [10], [4, 4, 4], [], [12], [10], [], [4, 4, 4], [12], [12], [4, 4, 4], [12], [12], [12], [12], [12], [], [4, 4, 4], [12], [12], [12], [12], [], [12], [12], [], [12], [12], [11], [10], [12]]
[[], [12], [12], [10], [4, 4, 4], [], [12], [12], [12], [12], [10], [10], [12], [12], [12], [12], [12], [12], [], [], [12], [12], [4, 4], [12], [4, 4, 4], [12], [12], [4, 4, 4], [12], [11], [], [], [4, 4, 4], [12]]
[[12], [10], [4, 4, 4], [12], [12], [12], [12], [11], [], [], [12], [10], [12], [], [12], [], [4, 4, 4], [4, 4], [12], [12], [], [12], [12], [12], [4, 4, 4], [12], [], [12], [12], [12], [12], [4, 4, 4], [12], [10], []]
[[12], [4, 4, 4], [4, 4], [12], [12], [12], [12], [12], [10], [12], [12], [12], [4, 4, 4], [], [12], [4, 4, 4], [], [12], [], [12], [12], [10], [11], [], [12], [12], [12], [], [12], [12], [], [4, 4, 4], [], [10], [12], []]
[[12], [], [12], [], [12], [12], [4, 4, 4], [12], [12], [10], [12], [], [12], [], [12], [10], [4, 4, 4], [4, 4], [], [12], [4, 4, 4], [12], [12], [], [11], [], [10], [12], [], [4, 4, 4], [12], [12], [12], [12], [], [12], [12]]
-EndAllocation

Instance: [[1], [342], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 42, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 12], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 32, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10], [4, 6, 6, 6, 6, 7, 7, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]]
[[9, 9, 9, 9, 11, 11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12]]
[[4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 10, 10, 10, 10, 10, 12, 12, 12], [9, 9, 9, 9, 11, 11, 11, 11, 11, 11], [12, 12]]
[[4, 11, 11, 11, 11, 11, 11], [6, 6, 6, 6, 12], [9, 9, 9, 9, 12, 12, 12, 12], [7, 7, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 11, 11, 11, 11, 11, 11], [], [8, 8, 8, 8, 8, 8, 8, 8, 8], [12, 12, 12, 12, 12], [7, 7, 8, 8, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10]]
[[4, 11, 11, 11, 11, 11], [12, 12, 12, 12, 12], [6, 6, 6, 6, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10, 10], [8, 8, 8, 11]]
[[9, 12, 12, 12, 12], [], [6, 6, 6, 6], [11, 11, 11, 11, 11], [9, 9, 9, 11, 12], [4, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8], [7, 7, 8, 8, 8, 8]]
[[11, 12, 12, 12], [8, 8, 8, 8, 8], [], [9, 9, 9, 9], [6, 6, 6, 6], [10, 10, 10, 10, 10], [4, 11, 11, 11, 11], [7, 7, 11, 12, 12], [8, 8, 8, 8, 8, 8]]
[[4, 10, 10, 10, 10], [7, 7, 11, 11], [8, 8, 8, 8, 8], [12, 12, 12], [], [11, 11, 11, 11], [9, 9, 9, 9], [6, 6, 6, 12, 12], [6, 8, 10], [8, 8, 8, 8, 8]]
[[7, 8, 8, 8, 8], [11, 11, 11], [11, 11, 11], [], [6, 6, 6, 6, 7, 10], [4], [8, 8, 8, 8, 8], [9, 9, 9, 9], [12, 12, 12], [8, 8, 12, 12], [10, 10, 10, 10]]
[[4, 8, 8, 8, 8], [10, 10, 10], [], [12, 12, 12], [10, 10], [11, 11], [9, 9, 9, 9], [6, 6, 6, 6, 7, 7], [11, 11, 11], [8, 8, 8, 8], [11, 12, 12], [8, 8, 8]]
[[4, 6, 7, 7, 8], [], [11, 11, 11], [8, 8, 8, 8], [12, 12, 12], [], [10, 10], [10, 10, 10], [11, 11, 11], [9, 9, 9, 9], [6, 6, 6, 8, 8], [8, 8, 8, 8], [12, 12]]
[[4, 6, 8, 10], [9, 12, 12], [8, 8, 8, 8], [], [7, 7], [11, 11, 11], [6, 6, 10, 10], [], [8, 12], [8, 8, 8, 8], [8, 10, 10], [11, 11, 11], [12, 12], [6, 9, 9, 9]]
[[4, 8, 8, 8], [11, 11], [11, 11], [12, 12], [12, 12], [], [8, 11, 11], [9, 10, 10], [8, 12], [6, 6, 6, 6], [8, 8, 8], [8, 8, 8], [9, 9, 9], [10, 10, 10], [7, 7]]
[[4, 6, 8, 8], [11, 11], [8, 8, 8], [9, 10], [], [6, 11, 11], [9, 9, 9], [8, 8, 8], [8, 8, 8], [10, 10], [12, 12], [12, 12], [6, 6, 7, 7], [12], [11, 11], [10, 10]]
[[4, 8, 8, 8], [9, 9, 9], [11, 11], [9, 10], [11, 11], [8, 8, 8], [11, 11], [12, 12], [8, 8, 8], [8, 8], [6, 6, 6, 6], [12, 12], [10, 12], [7, 7], [10, 10], [], [10]]
[[8, 8, 8], [9, 9], [9, 9], [6, 6, 6, 6], [10, 12], [11, 11], [12, 12], [11, 11], [8, 8, 8], [8, 8, 8], [11, 11], [4, 10, 10], [8, 8], [7, 7], [], [12, 12], [10, 10], []]
[[4, 8, 8], [9, 9], [10, 10], [], [8, 8, 8], [7, 7, 10], [11, 11], [9, 9], [8, 8, 8], [8, 8, 8], [6, 6, 6, 6], [12], [], [], [11, 11], [12, 12], [10, 10], [11, 11], [12, 12]]
[[4, 8, 8], [], [10, 10], [12, 12], [9, 9], [6, 6, 6, 6], [11, 11], [8, 8, 8], [8, 8, 8], [8, 8, 8], [9, 9], [11, 11], [12, 12], [], [10, 10], [10, 12], [7, 7], [], [11, 11], []]
[[4, 8, 8], [], [], [7, 7], [11, 11], [10, 12], [8, 8], [9, 9], [6, 8, 8], [8, 8], [8, 8], [10, 12], [10, 10], [10, 12], [8, 12], [9, 9], [11, 11], [11, 11], [6, 6, 6], [], [12]]
[[4, 8], [12], [10, 10], [11], [8, 8], [10, 10], [8, 11], [12], [8, 8], [6, 6, 6], [8, 10], [12], [8, 8], [7, 7], [6, 11], [8, 12], [8, 11], [9, 9], [12], [9, 9], [11], [11]]
[[4, 8, 8], [8, 11], [9, 11], [10, 10], [11], [12], [9, 11], [10, 10], [8, 8], [8, 8], [6, 11], [8, 10], [7, 7], [8, 12], [11], [12], [6, 6, 6], [12], [9, 9], [12], [8, 8], [], []]
[[8, 11], [], [11], [7, 12], [10, 10], [11], [10, 10], [6, 6, 6], [6, 8], [4, 8, 8], [8, 8], [8, 10], [11], [9, 9], [12], [12], [8, 8], [], [9, 9], [8, 8], [7, 12], [12], [11], [11]]
[[8, 8], [11], [9, 9], [11], [11], [11], [8, 8], [11], [8, 8], [8, 8], [9, 9], [8, 10], [4, 12], [6, 6], [12], [11], [10], [6, 12], [10], [6, 12], [12], [7, 7], [10], [8, 8], [10]]
[[8, 8], [9, 9], [11], [12], [6, 11], [12], [12], [10], [8, 8], [8, 8], [4, 6, 6], [6, 10], [7, 7], [8, 8], [8, 8], [11], [10], [9, 9], [11], [12], [10], [10], [12], [11], [11], [8]]
[[8, 8], [6, 11], [9], [11], [11], [9], [10], [11], [6, 10], [8, 8], [8, 9], [4, 10], [11], [10], [12], [8, 8], [7, 7], [12], [10], [12], [], [8, 8], [8, 8], [12], [6, 9], [12], [6, 11]]
[[4, 12], [11], [11], [11], [12], [11], [7, 10], [10], [8, 8], [8, 8], [8, 8], [12], [7, 9], [8, 8], [9], [6, 6], [10], [9], [8], [10], [10], [12], [11], [8, 8], [6, 6], [12], [11], [9]]
[[4, 11], [10], [9], [11], [6, 10], [8, 8], [8, 8], [8, 8], [8, 8], [6, 8], [8, 8], [12], [12], [11], [6, 6], [7, 7], [11], [9], [9], [11], [], [12], [12], [10], [10], [9], [11], [10], [12]]
[[4, 12], [8, 8], [6, 9], [11], [12], [6, 10], [11], [11], [8], [], [8, 8], [7, 7], [6, 6], [], [9], [8, 8], [9], [9], [12], [12], [10], [11], [12], [8, 8], [10], [11], [10], [11], [10], [8, 8]]
[[4, 8], [6, 6], [10], [12], [12], [10], [7, 7], [9], [12], [9], [10], [9], [8, 8], [11], [11], [11], [11], [8, 8], [], [10], [12], [8, 8], [], [10], [8, 8], [12], [9], [6, 6], [11], [11], [8, 8]]
[[6, 8], [11], [6, 8], [8], [6, 8], [6, 8], [8], [10], [11], [9], [11], [12], [8], [10], [9], [10], [7, 7], [12], [10], [12], [9], [8], [11], [10], [8], [11], [8], [12], [12], [8], [11], [4, 9]]
[[4, 8], [6, 8], [9], [12], [8], [8], [11], [11], [8], [12], [11], [6, 8], [10], [7, 7], [10], [6, 6], [11], [10], [12], [11], [10], [11], [9], [8], [8], [8], [9], [10], [9], [8], [8], [12], [12]]
[[10], [8], [6, 8], [12], [8], [8], [6, 6], [8], [12], [10], [8], [10], [11], [12], [9], [7, 7], [8], [11], [12], [9], [9], [], [8], [11], [12], [9], [11], [6, 8], [11], [10], [10], [8], [11], [4, 8]]
[[6, 7], [6, 7], [8], [10], [8], [8], [8], [11], [10], [10], [8], [11], [11], [8], [9], [9], [12], [8], [12], [10], [], [8], [10], [11], [12], [11], [8], [12], [6, 6], [9], [9], [11], [8], [12], [4, 8]]
[[12], [9], [8], [6], [8], [12], [8], [11], [11], [8], [9], [], [9], [12], [8], [7], [10], [10], [12], [9], [8], [8], [8], [11], [6, 6], [10], [11], [10], [11], [10], [6, 7], [8], [12], [8], [11], [4, 8]]
[[4, 7], [8], [8], [8], [8], [8], [8], [10], [11], [12], [6, 6], [12], [12], [11], [6, 6], [11], [7], [8], [9], [10], [12], [8], [8], [12], [8], [], [10], [10], [11], [], [9], [9], [10], [9], [11], [11], [8]]
[[4], [8], [12], [8], [8], [8], [8], [10], [10], [7], [9], [7], [8], [11], [9], [6, 6], [12], [], [10], [], [8], [12], [10], [11], [10], [9], [11], [11], [12], [11], [8], [8], [8], [11], [12], [9], [6, 6], [8]]
-EndAllocation

Instance: [[1], [341], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [228, 152, 114, 92, 76, 65, 57, 50, 46, 41, 38, 36, 33, 30, 29, 28, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 12], Opt: [171, 114, 86, 69, 57, 49, 43, 38, 35, 31, 29, 27, 25, 23, 22, 21, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[2, 6, 6, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12], [4, 5, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10]]
[[4, 5, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11], [7, 7, 7, 7, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12], [2, 6, 6, 8, 8, 8, 8, 8, 8]]
[[2, 7, 7, 7, 7, 11, 11, 12, 12, 12, 12, 12], [4, 5, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 11, 11, 11, 11, 11], [6, 6, 10, 10, 10, 10, 10, 10]]
[[2, 4, 7, 9, 9, 9, 9, 9, 10, 10, 10], [5, 8, 8, 8, 8, 10, 10, 11], [6, 6], [7, 7, 7, 11, 11, 11, 11, 11, 11], [8, 8, 10, 12, 12, 12, 12, 12]]
[[2, 4, 5, 7, 7, 7, 7, 11, 12], [10, 10, 10, 10, 10, 10, 12], [8, 8, 8, 8, 8, 8, 12], [12], [9, 9, 9, 9, 9, 11, 12], [6, 6, 11, 11, 11, 11, 11]]
[[2, 4, 11, 11, 11, 11, 11], [5, 11, 11], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10, 10], [7, 7, 7, 7], [12, 12, 12, 12, 12], [6, 6, 8, 8, 8, 8, 8, 8]]
[[2, 4, 5, 6, 6, 11, 11, 12], [], [9, 9, 9, 9], [7, 7, 7, 7, 9, 10], [12, 12, 12, 12], [10, 10, 10, 10, 10], [11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8]]
[[2, 4, 6, 6, 10, 10, 10], [11, 11], [8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [5, 12, 12, 12], [10, 10, 12, 12], [], [7, 7, 7, 7, 10, 11], [11, 11, 11, 11]]
[[2, 4, 6, 8, 8, 8, 8], [6, 11], [12, 12, 12], [12, 12], [11, 11], [7, 7, 7, 7], [9, 9, 9, 9, 9], [10, 10, 11, 11], [5, 10, 10, 10, 10], [8, 8, 11, 11]]
[[6, 6, 8], [9, 9, 11], [11, 11, 11], [9, 9, 9, 11], [11, 11], [7, 7, 7, 7], [8, 8, 8, 8, 8], [10, 10, 10, 10], [12, 12], [2, 4, 5, 12, 12], [10, 10, 12]]
[[2, 5, 6, 6, 8, 11], [10, 10, 10], [10, 10, 10], [4, 12, 12], [], [11, 11, 11], [9, 9, 9, 9], [7, 7, 7, 7, 9], [11, 11, 11], [8, 8, 8, 8], [12, 12, 12], [8]]
[[2, 8, 8, 8, 8], [10, 10, 10], [7, 7, 7, 7], [], [], [8, 8], [9, 9, 9], [11, 11, 11], [11, 11, 11], [12, 12, 12], [5, 6, 6, 9, 9], [4, 10, 10, 10], [11, 12, 12]]
[[2, 4, 5, 9, 11], [12], [12, 12], [6, 6], [8, 8], [11, 11, 11], [10, 10, 10], [11, 11], [12, 12], [9, 10, 10], [8, 8, 8, 8], [10, 11], [7, 7, 7, 7], [9, 9, 9]]
[[2, 6, 6, 8, 8], [], [4, 9, 9], [12, 12], [12, 12], [9], [8, 11, 11], [9, 9, 11], [5, 8, 8, 8], [11, 11], [7, 7, 7, 7], [12], [10, 10, 10], [10, 10, 10], [11, 11]]
[[2, 4, 5], [10, 10], [8, 8, 8], [9, 9, 9], [11, 11], [12, 12], [9, 9], [12], [8, 8, 8], [6, 6, 10], [11, 11], [12, 12], [7, 7, 7, 7], [10, 11], [11, 11], [10, 10]]
[[4, 10, 11], [9, 9, 9], [11, 11], [10, 10], [11, 11], [10], [12, 12], [12, 12], [2, 10, 10], [8, 8, 8], [12], [7, 7, 7, 7], [5, 6, 6], [], [9, 9], [8, 8, 8], [11, 11]]
[[], [9, 9], [9, 9], [10, 10], [12, 12], [11, 11], [12, 12], [11, 11], [8, 8, 8], [8, 8, 8], [2, 11, 11], [4, 10, 10], [6, 6, 10], [7, 7, 7], [5, 11], [12], [7, 10], [9]]
[[2, 4, 5, 11], [9, 9], [10, 10], [10, 10], [12], [7, 7, 7], [11, 11], [9, 9], [6, 6, 8], [8, 8, 8], [7, 8, 8], [9], [], [], [11, 11], [12, 12], [10, 10], [11, 11], [12, 12]]
[[2, 5, 6, 6], [], [10, 10], [12, 12], [9, 9], [12, 12], [11, 11], [8, 8, 8], [4, 7, 8], [8, 8], [9, 9], [11, 11], [11, 12], [], [10, 10], [10, 10], [7, 7, 7], [], [11, 11], [9]]
[[5, 8, 8], [11, 11], [12], [7, 12], [11, 11], [10, 10], [8, 8], [9], [], [2, 4, 6, 6], [8, 8], [10, 10], [10, 10], [12], [12], [9, 9], [7, 7, 7], [11, 11], [9, 9], [11], [12]]
[[2, 8, 8], [], [10, 11], [12], [7, 12], [10, 10], [12], [9, 11], [5, 11], [4, 8], [8, 8], [8, 11], [6, 6, 7], [9, 9], [10, 10], [12], [10, 11], [7, 12], [9, 9], [7, 11], [11], []]
[[2, 8, 8], [9, 11], [5, 11], [11], [8, 8], [7, 12], [7, 11], [10, 10], [8, 8], [6, 12], [7, 11], [6, 12], [7, 11], [4], [12], [12], [10, 10], [11], [9, 9], [10, 10], [9, 9], [], []]
[[2, 8, 8], [12], [11], [7, 7], [10, 10], [7, 11], [10, 10], [7, 11], [8, 8], [4, 8], [5, 11], [6, 12], [11], [6, 12], [12], [9, 9], [8, 11], [11], [9, 9], [], [], [12], [9], [10, 10]]
[[2, 8, 8], [12], [9, 9], [7, 11], [12], [10], [8, 8], [12], [8, 8], [5, 11], [7, 10], [6, 11], [6, 10], [9], [4, 7], [11], [10], [10], [11], [12], [11], [7, 10], [11], [9, 9], [12]]
[[2, 8, 8], [12], [5, 12], [11], [10], [7, 7], [9], [7, 10], [7, 10], [8, 8], [8, 8], [4, 11], [9, 9], [11], [12], [11], [12], [9, 9], [11], [12], [10], [10], [6, 6], [10], [11], [11]]
[[2, 12], [10], [9], [12], [12], [11], [7, 9], [6, 9], [11], [8, 8], [7, 10], [8, 8], [5, 11], [4, 11], [11], [8, 8], [], [6, 9], [7, 10], [7, 10], [11], [10], [10], [12], [11], [12], [9]]
[[8, 8], [6, 6], [11], [11], [10], [12], [7, 10], [5, 12], [11], [8, 8], [8, 8], [2, 9], [11], [9], [12], [11], [7, 9], [11], [10], [10], [10], [12], [4, 7], [11], [9], [12], [10], [7, 9]]
[[2, 8], [7, 9], [10], [7, 9], [7, 7], [12], [12], [6, 10], [12], [5, 11], [11], [10], [4, 9], [9], [11], [11], [6, 10], [11], [11], [12], [12], [10], [8], [8, 8], [11], [8], [10], [8], [9]]
[[2, 11], [6, 8], [], [10], [11], [11], [7, 7], [11], [8], [9], [8, 8], [7, 7], [10], [10], [9], [8, 8], [12], [12], [10], [10], [9], [10], [12], [12], [11], [6, 9], [12], [11], [4, 11], [5, 9]]
[[7, 7], [5, 9], [9], [11], [11], [6, 8], [2, 10], [11], [11], [8], [10], [9], [11], [10], [6, 8], [12], [12], [4, 9], [11], [12], [8], [10], [8], [10], [9], [12], [7, 7], [10], [11], [8], [12]]
[[11], [10], [7, 7], [11], [10], [11], [6, 8], [10], [10], [6, 8], [11], [8], [12], [12], [9], [10], [9], [9], [11], [8], [11], [4, 7], [2, 12], [5, 7], [9], [8], [9], [8], [11], [10], [12], [12]]
[[2, 11], [9], [11], [12], [9], [10], [12], [6, 8], [11], [12], [12], [9], [7], [9], [12], [11], [10], [6, 8], [10], [11], [11], [10], [8], [8], [11], [8], [10], [7], [5, 9], [], [7, 7], [8], [4, 10]]
[[5, 9], [9], [6, 7], [6, 8], [12], [9], [10], [11], [11], [10], [10], [11], [8], [9], [11], [11], [11], [12], [8], [12], [7], [2, 12], [7], [12], [7], [11], [9], [8], [10], [10], [8], [10], [], [4, 8]]
[[2, 9], [11], [5, 7], [9], [6], [12], [10], [4, 7], [10], [9], [7], [], [12], [9], [8], [10], [11], [11], [11], [11], [8], [11], [10], [6, 7], [8], [12], [8], [12], [10], [8], [9], [11], [10], [12], [8]]
[[], [5, 8], [6, 7], [6, 7], [7], [10], [2], [8], [10], [8], [9], [12], [9], [10], [9], [8], [11], [11], [8], [8], [11], [12], [11], [10], [10], [11], [12], [7], [10], [11], [9], [11], [12], [9], [12], [4]]
[[7], [8], [7], [9], [11], [10], [11], [10], [11], [11], [11], [10], [10], [8], [], [8], [7], [12], [9], [], [9], [], [6, 6], [2, 10], [11], [12], [12], [9], [11], [4, 8], [10], [12], [12], [9], [8], [8], [5, 7]]
[[8], [5, 7], [11], [8], [8], [], [7], [10], [12], [], [9], [7], [2, 8], [11], [9], [], [11], [6, 6], [10], [10], [12], [7], [10], [], [10], [9], [11], [11], [12], [10], [9], [8], [12], [11], [12], [9], [11], [4, 8]]
-EndAllocation

Instance: [[1], [340], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [226, 152, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [170, 114, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[5, 6, 6, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12], [2, 2, 3, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 12]]
[[2, 2, 3, 5, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11], [7, 7, 8, 8, 8, 8, 8, 8, 8], [6, 6, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12]]
[[2, 2, 3, 5, 6, 6, 11, 11, 11], [7, 7, 8, 9, 9, 9, 9, 10], [10, 10, 10, 10, 12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11]]
[[2, 2, 3, 5, 6, 6, 7, 7, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 9, 11], [9], [9, 11, 11, 11, 11, 11, 11, 11], [9, 12, 12, 12, 12, 12, 12]]
[[2, 2, 12, 12, 12, 12, 12, 12], [3, 5, 6, 6, 10, 10, 10, 10, 10], [7, 7, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [11, 11], [11, 11, 11, 11, 11, 11]]
[[2, 2, 3, 9, 9, 9, 9, 11, 11], [8, 8, 8, 8, 8, 8, 8], [5, 11, 12, 12, 12, 12], [7, 7], [6, 6, 12, 12], [10, 10, 10, 10, 10], [11, 11, 11, 11, 11]]
[[2, 2, 3, 10, 10, 10, 10, 10], [5, 8, 8, 12, 12, 12], [11, 11, 11], [11, 11, 11, 11, 11], [8, 8, 8, 8, 8], [6, 6], [7, 7, 12, 12, 12], [9, 9, 9, 9]]
[[2, 2, 5, 11, 11, 11], [3, 8, 8, 8, 8, 11], [10, 10, 10, 10, 10], [11], [7, 7, 11, 11, 11], [12, 12, 12, 12], [8, 8, 8], [12, 12], [6, 6, 9, 9, 9, 9]]
[[2, 2, 3, 8, 8], [11], [8, 8, 8, 8, 8], [12, 12, 12], [11, 11, 11, 11], [10], [7, 9, 9, 9, 9], [7, 12, 12, 12], [5, 10, 10, 10, 10], [6, 6, 11, 11, 11]]
[[2, 2, 3, 10, 11, 11], [10, 11], [11, 11, 11], [9, 9, 9, 9], [12], [6, 6, 10, 10], [8, 8, 8, 8, 8], [10, 11, 11], [7, 7, 12, 12], [5, 12, 12, 12], [8, 8]]
[[2, 2, 3, 5, 8, 8, 8], [10, 10, 12], [12], [11, 11, 11], [6, 6, 12], [11, 11, 11], [9, 9, 9, 9], [7, 7, 12], [10, 10, 10], [8, 8, 8, 8], [11, 11, 12], [12]]
[[2, 2, 3, 5, 6, 6, 11], [12, 12, 12], [7, 7], [], [12, 12, 12], [8, 8, 8], [], [8, 8, 8, 8], [11, 11, 11], [10, 10, 11], [11, 11, 11], [10, 10, 10], [9, 9, 9, 9]]
[[2, 2, 5, 8, 8, 8], [10, 10, 10], [12, 12], [9, 9, 9], [7, 7, 8, 8], [11, 11, 11], [], [], [3, 11, 12], [10, 10, 12], [8, 8, 11], [11, 11, 11], [12, 12], [6, 6, 9]]
[[2, 2, 3, 6, 8, 8], [11, 11], [11, 11], [12, 12], [12, 12], [], [11, 11], [9, 9, 9], [8, 8], [5, 11, 11], [10, 10, 10], [6, 8, 8, 8], [10, 10], [12, 12], [7, 7, 9]]
[[2, 2, 8, 8, 8], [11], [8], [9, 9, 9], [], [11, 11], [9, 10, 10], [12, 12], [6, 6], [3, 12, 12], [11, 11], [8, 8, 8], [7, 10, 10], [12, 12], [7, 11, 11], [5, 10, 11]]
[[2, 2, 8], [9, 9], [11, 11], [10, 10], [11, 11], [10, 10], [11, 11], [12], [8, 8, 8], [8, 8, 8], [3, 5, 9, 9], [7, 7, 12], [12, 12], [11, 11], [10], [12], [6, 6, 12]]
[[8, 8, 8], [9, 9], [9, 9], [10], [12, 12], [11, 11], [12, 12], [11, 11], [8], [8, 8, 8], [2, 11, 11], [2, 3, 5, 10], [6, 6, 11], [7, 7, 11], [10, 12], [10, 12], [10], []]
[[2, 2, 3, 5, 8], [9, 9], [10, 10], [10, 10], [12, 12], [7, 7], [11, 11], [9, 9], [8, 8, 8], [11, 11], [6, 8, 8], [6, 11], [], [], [8, 11], [12, 12], [10], [11, 11], [12, 12]]
[[3, 7, 12], [12], [10, 10], [7, 12], [9, 9], [6, 12], [12], [6, 8, 8], [8], [2, 2, 5], [8, 8], [11, 11], [8, 8], [11, 11], [10, 10], [10, 12], [11, 11], [], [11, 11], [9, 9]]
[[9, 12], [12], [6, 6], [], [11, 11], [10, 10], [8, 11], [7, 7], [5, 8, 8], [2, 3, 8, 8], [2, 8, 8], [10, 10], [10, 11], [], [12], [9, 12], [11, 11], [11, 11], [9, 9], [12], [12]]
[[2, 2, 3, 5], [9, 12], [10, 10], [11], [9, 12], [10, 10], [12], [8, 8], [8, 8], [6, 11], [8, 8], [9, 12], [6, 11], [11], [7, 11], [8, 11], [7, 12], [11], [9, 12], [10], [11], []]
[[2, 2, 8, 8], [11], [11], [12], [11], [7, 12], [7], [10, 10], [8, 8], [3, 5, 11], [8, 12], [6, 8], [9], [6, 12], [11], [11], [11], [11], [9, 10], [9, 9], [8, 12], [10, 10], [12]]
[[2, 2, 8, 8], [], [10, 10], [8], [10, 10], [12], [11], [12], [7, 7], [3, 8, 8], [6, 11], [5, 12], [8, 11], [11], [], [10], [8, 12], [12], [9, 11], [12], [9, 11], [6, 11], [11], [9, 9]]
[[2, 2, 3, 11], [12], [9], [10], [8, 8], [], [11], [10], [8, 8], [11], [5, 11], [11], [7, 11], [7, 11], [6, 10], [6, 12], [12], [12], [11], [8, 10], [12], [8, 9], [8, 10], [9, 9], [12]]
[[2, 2, 12], [12], [5, 11], [3, 11], [12], [7, 11], [], [8], [8], [9], [8, 10], [12], [6, 9], [8, 10], [6, 11], [7, 8], [11], [8, 10], [8, 10], [11], [10], [12], [12], [11], [9, 9], [11]]
[[2, 2, 3, 8], [11], [8, 9], [10], [12], [10], [8, 9], [6, 8], [10], [6, 11], [5, 10], [11], [11], [12], [11], [8, 9], [7, 7], [11], [12], [10], [11], [12], [8, 9], [12], [12], [8], [11]]
[[8, 8], [12], [9], [], [], [10], [], [12], [11], [10], [2, 2, 3, 10], [5, 11], [8, 9], [8, 8], [8, 9], [6, 11], [12], [12], [12], [6, 11], [7, 10], [12], [7, 10], [11], [11], [11], [11], [8, 9]]
[[2, 2, 10], [12], [9], [10], [11], [], [10], [6, 9], [7, 9], [3, 11], [8, 8], [5, 9], [12], [11], [12], [7, 8], [6, 10], [11], [11], [8, 8], [11], [11], [12], [12], [8, 8], [10], [], [12], [11]]
[[3, 11], [12], [8, 8], [6, 9], [12], [12], [12], [6, 10], [10], [12], [8], [12], [10], [11], [8, 8], [10], [10], [7, 9], [], [11], [7, 9], [11], [11], [11], [11], [], [9], [5, 11], [2, 2], [8, 8]]
[[2, 11], [3, 10], [5, 8], [11], [7, 7], [12], [10], [8], [12], [12], [12], [9], [12], [9], [2, 11], [8], [11], [9], [11], [11], [8], [6, 8], [10], [11], [12], [9], [10], [8], [11], [10], [6, 8]]
[[2, 2, 9], [12], [3, 8], [6, 8], [8], [10], [10], [10], [9], [10], [10], [11], [11], [7], [12], [9], [11], [9], [12], [8], [11], [6, 8], [11], [12], [8], [8], [12], [11], [11], [5, 7], [11], [12]]
[[2, 12], [2, 10], [5, 8], [6, 8], [6, 8], [8], [11], [10], [12], [10], [9], [9], [], [12], [12], [7, 7], [12], [11], [11], [11], [10], [12], [8], [11], [8], [11], [10], [8], [9], [11], [11], [9], [3]]
[[12], [2, 3, 8], [9], [11], [5, 8], [12], [10], [11], [12], [10], [11], [9], [12], [7], [12], [8], [7], [10], [6], [6], [8], [11], [11], [12], [11], [8], [9], [8], [10], [2, 11], [10], [8], [11], [9]]
[[2, 10], [2, 11], [3, 8], [12], [9], [11], [9], [11], [11], [12], [11], [9], [10], [9], [11], [10], [10], [10], [5, 8], [8], [8], [6], [12], [], [8], [8], [11], [8], [7], [6], [12], [12], [11], [12], [7]]
[[2, 11], [2, 3, 8], [8], [9], [12], [8], [7], [12], [12], [9], [10], [8], [10], [12], [10], [8], [12], [10], [9], [10], [11], [11], [12], [9], [6, 6], [11], [11], [], [11], [], [7], [8], [], [11], [11], [5, 8]]
[[5, 8], [2, 7], [8], [8], [11], [], [11], [10], [11], [11], [10], [10], [12], [10], [8], [8], [], [12], [3, 9], [11], [2, 11], [12], [6, 6], [10], [11], [], [12], [9], [11], [12], [8], [9], [12], [8], [7], [9], []]
[[2, 10], [3, 8], [11], [12], [8], [11], [11], [11], [11], [7], [11], [5, 6], [6], [10], [10], [10], [8], [10], [12], [8], [8], [7], [2], [8], [], [9], [11], [12], [9], [11], [9], [8], [12], [], [12], [9], [], [12]]
-EndAllocation

Instance: [[1], [339], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [226, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 36, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [170, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 9, 12, 12, 12, 12]]
[[5], [5, 5, 5, 5, 6, 7, 7, 9, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [7, 7, 12, 12, 12, 12, 12, 12]]
[[], [6, 12, 12, 12, 12, 12], [7, 9, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12], [6, 12, 12, 12, 12], [5, 5, 5, 5, 9, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7], [12, 12], [12, 12, 12, 12, 12]]
[[12, 12], [7, 7, 9, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12], [5, 5, 5, 5, 5, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [6, 12, 12, 12, 12]]
[[], [12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 12, 12], [12, 12, 12, 12], [6, 7, 7, 9], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 9, 12], [12, 12, 12], [6, 7, 7, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12], [6, 12, 12], [5, 5, 5, 5, 5, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 7, 7, 9, 12], [12, 12, 12], [12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [6, 12, 12], [], [9, 12], [7, 7, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [7, 7, 12], [12, 12, 12], [], [], [12, 12, 12], [6, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [9, 12, 12], [12, 12], [12, 12], [6, 12, 12], [7, 7, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [6, 12, 12], [12, 12], [12], [9, 12], [12, 12], [5, 5, 12], [12, 12], [12, 12], [12, 12], [7, 7, 12]]
[[], [9, 12], [12, 12], [6, 12], [12, 12], [12, 12], [12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [7, 7, 12], [5, 5, 5, 5], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [], [7, 7], [6, 12], [9, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [5, 5, 7, 7], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [], [12, 12], [12, 12], [12, 12], [9, 12], [6], [12, 12], [12, 12], [5, 5, 12]]
[[], [12, 12], [], [5, 5, 5, 5], [7, 7], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5], [12], [12, 12], [5, 5, 5, 5], [12, 12], [6, 12], [5, 5, 5, 9], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [9, 12], [12], [6, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [7, 12], [5, 5, 12], [12], [12], [7, 12]]
[[12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [6, 12], [5, 12], [5, 5, 12], [12], [12], [12], [12], [9, 12], [5, 7, 7], [12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [12], [12], [12], [5, 12], [9, 12], [12], [5, 12], [5, 5, 5, 5], [12], [6, 7, 7], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12]]
[[12], [5, 7, 7], [12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [9], [5, 12], [12], [12], [5, 5, 5, 5], [6, 12]]
[[12], [12], [5, 12], [12], [12], [6, 12], [12], [5, 5, 5, 5], [5, 12], [7, 7], [12], [12], [9], [12], [12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [12]]
[[12], [9], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [12], [12], [12], [5, 12], [12], [12], [5, 5, 5], [6, 12], [7, 7], [5, 12]]
[[12], [5, 5, 6], [12], [12], [7, 7], [5, 12], [5, 9], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 12], [7, 7], [5, 5, 5], [12], [12], [12], [9], [5, 5, 5], [12], [6], [12], [12], [12], [5, 5, 5], [5, 12], [12], [12]]
[[9], [6], [7, 7], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [5, 5, 5], [5, 12]]
[[], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [7, 7], [6], [12], [12], [9], [5, 5, 5]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 6], [12], [7], [12], [], [], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [], [12], [12], [7, 9], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [12], [7, 7], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [9], [12], [], [5, 5], [5, 5], [5, 5], [6], [12], [12], [12]]
[[12], [12], [5], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [7, 7], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [5, 9], [6], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [12], [5, 7], [12], [12], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [12], [6], [12], [12], [5, 5], [], [12], [9], [5], [12], [12], [7], [5, 5], [12], [12], [12]]
[[12], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [7], [12], [12], [], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [], [12], [12], [12], [12], [9], [7], [5, 5], [12], [6], [12]]
[[12], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [6], [12], [9], [12], [7], [], [12], [7], [12], [12], [], [12], [12], [12], [5, 5], [12], [12], [], [12], [5, 5]]
[[12], [], [12], [], [12], [5, 5], [12], [12], [12], [5, 7], [12], [12], [], [], [12], [12], [12], [12], [5, 5], [9], [12], [12], [5, 5], [], [12], [], [6], [12], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [5, 7]]
[[9], [], [], [12], [12], [], [12], [12], [], [5, 5], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [], [12], [7], [12], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [5, 7], [12], [], [12], [5, 6], [12], [12], [12]]
[[], [12], [12], [], [5, 5], [5, 5], [6], [], [7], [12], [12], [12], [12], [], [12], [9], [12], [5, 5], [12], [], [12], [12], [12], [7], [5, 5], [], [12], [12], [5, 5], [12], [], [12], [12], [5, 5], [5, 5], [12], [12], [12]]
-EndAllocation

Instance: [[1], [338], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 4, 4, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 3, 4, 4, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11], [6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12]]
[[6, 6, 7, 7, 12, 12, 12, 12, 12, 12, 12], [10, 10, 10, 10, 10, 11, 11, 11, 11, 11], [3, 3, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[3, 3, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 11], [8, 8, 11, 11, 12, 12, 12, 12, 12, 12], [8, 8, 10, 10, 10, 10, 10, 11], [4, 4, 8, 8, 11, 12]]
[[3, 3, 4, 6, 6, 10, 10, 10, 10, 10, 11], [8, 8, 8, 8, 8, 8, 8, 8], [7, 7], [9, 9, 9, 9, 9, 11, 11, 11, 11], [4, 12, 12, 12, 12, 12, 12, 12]]
[[3, 3, 9, 9, 9, 9, 9], [11, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [12, 12, 12, 12, 12, 12], [4, 4, 6, 6, 7, 7, 12]]
[[8, 8, 8, 8, 8, 8, 8, 8], [3, 3, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [12, 12, 12, 12, 12], [], [7, 7, 11, 12, 12], [4, 4, 6, 6, 11, 11, 11, 11]]
[[8, 8, 8, 8, 8, 8, 8], [3, 3, 8], [7, 7], [11, 11, 11, 11, 11], [12, 12, 12, 12], [10, 10, 10, 10, 10], [9, 12, 12, 12], [4, 4, 6, 6, 9, 9, 9, 9]]
[[3, 3, 4, 8, 8], [10, 10, 10, 10, 10], [6, 6, 11], [12, 12, 12, 12], [8, 8, 8, 8, 8, 8], [12, 12, 12], [11, 11, 11, 11], [7, 7], [4, 9, 9, 9, 9, 9]]
[[3, 3, 4, 8, 8, 8], [], [6, 6, 7, 7, 10], [12, 12, 12], [11, 11, 11, 11], [11, 12], [9, 9, 9, 9, 9], [12, 12, 12], [4, 10, 10, 10, 10], [8, 8, 8, 8, 8]]
[[3, 8, 8, 8, 12], [9, 12, 12], [11, 11, 11], [8, 8, 8, 8, 8], [6, 6], [7, 7], [10, 10, 10, 10], [10, 11, 11], [3, 4, 4, 12, 12], [12, 12], [9, 9, 9, 9]]
[[3, 3, 10, 10, 10], [10, 10], [9], [12, 12, 12], [12], [11, 11], [9, 9, 9, 9], [6, 6, 7, 7], [4, 11, 11, 11], [4, 8, 8, 8, 8], [12, 12, 12], [8, 8, 8, 8]]
[[3, 3, 9, 9, 10], [10, 10, 10], [7, 7], [6, 6], [12, 12], [8, 8, 8, 8], [11, 11], [8, 8, 8, 8], [4, 4, 10, 12], [9, 12], [11, 11, 11], [12, 12], [9, 9, 12]]
[[3, 8, 8, 8], [12, 12], [12, 12], [], [7, 7], [8, 11, 11], [3, 10, 10, 10], [12], [4, 4, 12, 12], [8, 10, 10], [8, 8, 8], [11, 11, 11], [9, 9, 9], [6, 6, 9, 9]]
[[3, 3, 8, 8, 8], [11, 11], [6, 6], [8, 8], [12, 12], [], [11, 12], [9, 9, 9], [4, 12, 12], [4, 8, 8, 8], [7, 11, 11], [12, 12], [10, 10, 10], [10, 10], [7, 9, 9]]
[[3, 3, 8, 8], [11], [8, 8, 8], [12, 12], [], [11, 11], [9, 10, 10], [8, 8, 8], [4, 4, 6, 12], [9, 10, 10], [9, 9, 9], [12, 12], [6, 7, 7], [12, 12], [11, 11], [10]]
[[8, 8, 8], [9], [11, 11], [10, 10], [11, 11], [9], [12, 12], [12, 12], [8, 8], [8, 8, 8], [3, 3, 4, 4, 9], [7, 7], [10, 11], [12, 12], [10, 10], [9, 12], [6, 6, 9]]
[[8, 8, 8], [9, 9], [9, 9], [10, 12], [12, 12], [11, 11], [12, 12], [11, 11], [8, 8, 9], [8, 8, 8], [3, 3, 4, 4, 11], [6, 6], [10, 10], [7, 7], [], [12, 12], [10, 10], []]
[[8, 8, 8], [9, 9], [10, 10], [10], [12, 12], [7, 7], [9, 11], [9, 12], [4, 4, 8, 8], [8, 8, 8], [3, 3, 6, 9], [6, 11], [11], [], [11], [12, 12], [10, 10], [11], [12, 12]]
[[9, 12], [12], [10, 10], [12], [9, 9], [12], [12], [8, 8], [4, 4, 6, 8], [3, 3, 6, 8], [8, 8], [11, 11], [8, 8], [11], [10, 12], [10, 10], [7, 7], [12], [11, 11], [9, 9]]
[[3, 3, 8, 8], [12], [6, 6], [], [11, 11], [12], [8, 8], [9, 12], [4, 4], [8, 8], [8, 8], [10, 10], [11], [10, 12], [9, 12], [9, 9], [7, 7], [11, 11], [12], [10, 10], [9, 12]]
[[3, 4, 8], [10, 10], [11], [12], [8, 8], [10, 10], [9, 12], [12], [4, 8, 8], [3, 8, 8], [6, 6], [9, 11], [7, 9], [7, 12], [9, 12], [8, 12], [11], [], [9, 12], [11], [11], [10]]
[[3, 8, 8], [10], [6, 11], [], [8], [12], [12], [10, 10], [4, 4, 8], [3, 12], [8, 12], [8], [7, 7], [8, 12], [9, 11], [12], [6, 11], [11], [9, 9], [10, 10], [8, 11], [9, 9], [12]]
[[3, 3, 10], [7, 12], [], [7, 12], [10, 10], [], [10, 10], [4, 6], [4, 8, 8], [8, 12], [8, 12], [9, 11], [], [11], [11], [9, 9], [8, 8], [11], [9, 9], [8, 8], [6, 12], [12], [12], [11]]
[[7, 11], [11], [10], [12], [8, 8], [], [8, 9], [4], [12], [8, 8], [4, 8], [3, 3, 10], [9, 9], [6, 12], [12], [9, 9], [7, 11], [6, 11], [8, 10], [11], [12], [12], [8, 10], [12], [10]]
[[6, 11], [10], [], [12], [12], [8, 9], [8], [4, 12], [9], [7, 10], [4, 12], [3, 3, 8], [8, 9], [12], [12], [7, 10], [8, 8], [11], [8, 9], [11], [10], [11], [11], [6, 10], [8, 9], [12]]
[[3, 12], [10], [8, 9], [11], [12], [11], [4, 4, 8], [12], [8, 9], [7, 9], [3, 11], [6, 10], [12], [6, 11], [11], [12], [8], [8, 9], [12], [10], [10], [8, 9], [10], [8], [7], [12], [8]]
[[10], [11], [8], [8], [12], [11], [11], [4, 9], [12], [4, 12], [8, 8], [3, 3, 8], [7, 7], [8, 9], [12], [6, 6], [10], [12], [11], [9], [11], [8, 9], [8, 9], [10], [10], [12], [10], [12]]
[[8, 8], [10], [12], [9], [6, 6], [8, 8], [11], [8, 8], [4, 10], [3, 12], [3, 12], [7, 9], [4, 10], [], [11], [8, 8], [12], [12], [7, 9], [], [10], [12], [12], [10], [11], [11], [9], [11], [9]]
[[8, 8], [8, 8], [3, 3, 4, 4], [11], [12], [12], [12], [12], [11], [12], [8, 8], [6, 6], [7, 9], [9], [9], [8, 8], [12], [11], [9], [10], [7], [10], [10], [10], [11], [11], [10], [9], [12], []]
[[9], [3, 3, 8], [10], [11], [10], [9], [4, 8], [8], [6, 8], [12], [10], [12], [6, 8], [9], [12], [11], [10], [8], [4, 8], [7, 7], [12], [10], [9], [12], [11], [12], [11], [8], [12], [9], [11]]
[[3, 4], [4, 10], [9], [9], [6, 8], [9], [6, 8], [9], [12], [7, 7], [12], [10], [12], [8], [12], [8], [11], [12], [11], [8], [8], [10], [11], [10], [3, 10], [9], [11], [8], [12], [11], [12], [8]]
[[4, 9], [3, 11], [3, 8], [12], [9], [10], [10], [9], [9], [9], [12], [12], [11], [7, 7], [12], [6, 6], [8], [12], [11], [12], [12], [], [10], [8], [10], [8], [8], [8], [11], [10], [11], [8], [4, 8]]
[[3, 10], [4, 8], [11], [4, 8], [8], [], [6], [8], [8], [11], [12], [12], [9], [12], [8], [10], [10], [10], [9], [11], [12], [9], [12], [10], [12], [12], [7], [9], [11], [9], [3, 8], [8], [11], [6, 7]]
[[3, 8], [3, 4], [10], [9], [12], [8], [8], [], [7], [9], [9], [10], [12], [8], [8], [8], [11], [6, 6], [11], [11], [10], [12], [12], [10], [12], [10], [11], [9], [9], [7], [8], [11], [12], [12], [4, 8]]
[[6, 7], [11], [12], [3, 4, 4], [3, 9], [12], [12], [11], [8], [10], [12], [9], [11], [12], [12], [9], [9], [10], [12], [6, 7], [8], [10], [8], [8], [8], [8], [10], [8], [10], [], [11], [], [], [8], [11], [9]]
[[3, 8], [4, 7], [12], [8], [4, 9], [12], [12], [12], [9], [12], [12], [10], [9], [10], [11], [10], [8], [11], [11], [11], [], [10], [6], [10], [11], [12], [9], [8], [9], [8], [8], [], [8], [6], [7], [], [3, 8]]
[[3, 3, 4], [9], [8], [7], [8], [8], [8], [12], [], [], [8], [6, 6], [11], [12], [11], [8], [12], [9], [], [12], [], [11], [12], [10], [8], [9], [10], [8], [11], [10], [10], [10], [12], [12], [9], [9], [11], [4, 7]]
-EndAllocation

Instance: [[1], [337], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [225, 150, 113, 90, 76, 65, 57, 50, 45, 41, 38, 34, 33, 30, 29, 26, 25, 24, 22, 22, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [169, 113, 85, 68, 57, 49, 43, 38, 34, 31, 29, 26, 25, 23, 22, 20, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11], [4, 6, 6, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12]]
[[6, 6, 6, 6, 6, 12, 12, 12, 12, 12], [4, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11], [7, 7, 7, 8, 9, 9, 9, 9, 9, 12, 12, 12], [6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 12, 12], [4, 11]]
[[6, 6, 6, 6, 6, 9, 10, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 12], [9, 9, 9, 9, 12, 12, 12, 12], [7, 7, 7, 11, 11, 11, 11, 11]]
[[9, 9, 9, 9, 9], [11, 11, 11, 11, 11, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10], [7, 7, 7, 12, 12, 12, 12], [4, 6, 6, 6, 6, 6]]
[[4, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [12, 12, 12, 12, 12], [8, 8], [6, 6, 6, 6, 6, 7, 7, 7], [11, 11, 11, 11, 11]]
[[4, 8, 8, 8, 8, 8, 8], [8, 8, 8], [7, 7, 7, 10, 10], [11, 11, 11, 11, 11], [12, 12, 12, 12], [6, 6, 6, 10, 10, 10], [12], [6, 6, 9, 9, 9, 9, 9]]
[[7, 7, 7, 8, 8, 8], [4, 10, 10, 10, 10], [6, 6, 6, 6, 6, 11], [12, 12, 12, 12], [8, 8, 8, 8, 8, 8], [12], [11, 11, 11, 11], [10], [9, 9, 9, 9, 9]]
[[4, 8, 8, 8, 8, 8], [], [6, 6, 6, 6, 6, 7, 7], [12, 12, 12], [11, 11, 11, 11], [11], [9, 9, 9, 9, 9], [10, 12, 12], [10, 10, 10, 10], [7, 8, 8, 8, 8]]
[[4, 6, 6, 8, 8, 8], [11, 11], [11, 11, 11], [8, 8, 8, 8, 8], [], [7, 7, 7, 9], [6, 6, 6, 10, 10], [10, 10, 10], [12, 12, 12], [8, 12, 12], [9, 9, 9, 9]]
[[4, 8, 8, 8, 8], [7, 7, 10, 10], [], [12, 12], [11, 11], [11, 11, 11], [9, 9, 9, 9], [6, 6, 6, 6, 6, 7], [10, 10, 10], [8, 9], [12, 12, 12], [8, 8, 8, 8]]
[[4, 7, 9, 9], [10, 10], [7, 7, 9, 9], [6, 6, 6, 8], [12, 12], [8, 8, 8, 8], [], [8, 8, 8, 8], [10, 10, 10], [9, 12], [11, 11, 11], [6, 6, 11, 11], [12, 12]]
[[7, 8, 8, 8], [12, 12], [8, 12, 12], [], [7, 7, 8, 8], [11, 11], [10, 10], [], [6, 9, 12], [10, 10, 10], [4, 8, 8, 8], [11, 11, 11], [9, 9, 9], [6, 6, 6, 6, 9]]
[[4, 8, 8, 8], [11, 11], [6, 6, 6, 6, 6], [], [12, 12], [12], [11, 11], [9, 9, 9], [8, 8, 8], [8, 8, 8], [9, 11], [12, 12], [10, 10, 10], [10, 10], [7, 7, 7, 9]]
[[4, 8, 8, 8], [11], [8, 8, 8], [12, 12], [], [11, 11], [10, 10], [9, 9], [8, 8, 8], [6, 10, 10], [9, 9, 9], [12, 12], [7, 7, 7], [6, 6, 6, 6], [11, 11], [10, 12]]
[[8, 8, 8], [9, 9], [11, 11], [10, 10], [11, 11], [10], [12, 12], [12, 12], [8, 8, 8], [8, 8, 8], [6, 9, 9], [4, 7, 7, 7], [12], [], [10, 10], [9, 11], [6, 6, 6, 6]]
[[8, 8], [7, 9, 9], [9, 9], [10, 10], [], [11, 11], [12, 12], [11, 11], [6, 6, 6, 6], [8, 8], [7, 7, 11], [10, 10], [4, 8, 8], [9, 12], [8, 8], [12, 12], [6, 8, 10], []]
[[4, 8, 8], [9, 9], [10, 10], [10], [12], [7, 7, 7], [11, 11], [9, 9], [8, 8, 8], [6, 8, 8], [6, 6, 6, 6], [8, 8], [], [], [11, 11], [12, 12], [10, 10], [9, 11], [12, 12]]
[[4, 6, 6, 6], [12], [10], [12], [9, 9], [12], [11, 11], [8, 8], [8, 8], [8, 8], [8, 8], [11], [8, 12], [12], [10, 10], [10, 10], [7, 7, 7], [6, 6, 9], [11, 11], [9, 9]]
[[6, 8, 8], [], [], [9, 12], [11, 11], [12], [11], [9, 9], [8, 8], [6, 8, 8], [4, 8, 8], [10, 10], [10, 10], [12], [8, 12], [9, 9], [7, 7, 7], [11, 11], [6, 6, 6], [10], [12]]
[[4, 6, 9], [12], [10, 10], [12], [8, 8], [10, 10], [7, 7, 7], [9, 11], [8, 8], [8, 8], [8, 8], [6, 11], [8, 9], [6, 6, 6], [10], [12], [11], [12], [9, 9], [11], [11], [12]]
[[4, 8, 8], [9, 11], [11], [11], [8, 8], [7, 12], [7, 7], [10, 10], [8, 8], [6, 12], [6, 11], [6, 8], [9, 9], [6, 12], [11], [12], [10], [12], [9, 9], [6], [8, 8], [], [10, 10]]
[[8, 11], [7, 7], [8, 11], [8, 12], [10, 10], [7, 11], [10, 10], [11], [6, 6, 6], [4, 8, 8], [6, 6, 8], [], [9, 9], [], [10], [12], [8, 8], [], [9, 9], [11], [12], [8, 12], [9], [12]]
[[8, 8], [12], [9], [10], [], [8, 10], [8, 8], [10], [8, 8], [8, 8], [4, 6, 6], [7, 10], [11], [6, 6, 6], [12], [12], [7, 11], [11], [12], [11], [9, 9], [7, 11], [10], [9, 9], [12]]
[[8, 8], [11], [7, 9], [10], [11], [12], [11], [7, 9], [8, 8], [6, 10], [6, 9], [4, 12], [6, 9], [8, 8], [12], [7, 10], [], [6, 6], [8, 9], [12], [11], [11], [10], [10], [12], [8, 8]]
[[6, 10], [11], [12], [12], [11], [11], [10], [10], [8, 8], [4, 12], [6, 11], [8, 8], [8], [6, 9], [7, 7], [8, 8], [12], [8, 8], [9], [10], [12], [9], [9], [10], [7, 9], [11], [6, 6]]
[[4, 12], [11], [10], [8, 9], [10], [10], [6, 10], [12], [8, 8], [8, 8], [8, 8], [6, 6], [7, 9], [8, 8], [6, 11], [6, 9], [12], [], [], [10], [7, 7], [12], [11], [11], [9], [12], [11], [9]]
[[7, 7], [6, 10], [10], [10], [12], [8, 8], [8, 8], [9], [8, 8], [4, 6, 6], [7, 8], [9], [12], [11], [6, 6], [11], [], [9], [9], [11], [11], [9], [12], [11], [10], [10], [12], [8, 8], [12]]
[[8, 8], [8, 8], [12], [11], [6, 9], [], [12], [11], [], [10], [6, 6], [8, 8], [7, 7], [9], [7, 9], [8, 8], [12], [11], [9], [10], [11], [10], [12], [9], [10], [10], [6, 6], [11], [12], [4, 8]]
[[9], [6, 7], [6, 8], [6, 8], [11], [10], [9], [11], [6, 8], [6, 8], [4, 10], [7, 7], [11], [8], [10], [12], [12], [11], [9], [8], [8], [8], [9], [8], [12], [12], [12], [10], [11], [9], [10]]
[[8], [10], [11], [10], [6, 6], [11], [6, 7], [9], [12], [6, 8], [4, 10], [10], [11], [10], [9], [12], [7, 7], [12], [8], [8], [12], [9], [12], [8], [8], [11], [8], [8], [9], [9], [11], [6, 8]]
[[6, 6], [12], [6, 8], [12], [4, 8], [10], [12], [9], [8], [8], [7, 7], [10], [8], [7], [11], [6, 6], [9], [10], [12], [11], [9], [11], [8], [9], [9], [8], [8], [8], [11], [11], [10], [12], [10]]
[[10], [10], [4, 8], [6, 7], [6, 7], [6, 7], [8], [8], [8], [11], [10], [12], [8], [12], [9], [12], [9], [11], [6, 6], [8], [12], [8], [11], [], [12], [9], [8], [9], [11], [10], [10], [8], [11], [9]]
[[4, 8], [6, 7], [10], [12], [9], [9], [8], [8], [7], [8], [8], [], [12], [9], [8], [8], [11], [6, 6], [11], [12], [10], [12], [8], [10], [12], [10], [10], [11], [8], [7], [11], [11], [9], [6, 6], [9]]
[[6, 6], [6, 6], [6, 7], [9], [9], [8], [8], [12], [12], [11], [8], [], [8], [12], [], [7], [10], [10], [11], [9], [10], [8], [8], [11], [11], [10], [4, 8], [8], [11], [9], [12], [10], [7], [9], [12], [8]]
[[12], [10], [4, 9], [6, 6], [9], [8], [11], [8], [11], [11], [8], [], [10], [10], [9], [8], [7], [11], [7], [], [9], [12], [6, 6], [10], [12], [12], [8], [9], [11], [8], [8], [8], [12], [8], [10], [], [6, 7]]
[[7], [6], [10], [10], [4, 8], [8], [9], [12], [12], [7], [8], [6, 6], [11], [12], [11], [8], [8], [9], [10], [], [7], [11], [], [10], [8], [9], [10], [8], [11], [9], [8], [9], [12], [6, 6], [], [12], [11], [8]]
-EndAllocation

Instance: [[1], [336], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [224, 149, 112, 90, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [168, 112, 84, 68, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 12, 12], [2, 4, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[7, 7, 7, 7, 7, 7], [5, 6, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [2, 3, 4, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11]]
[[8], [3, 6, 8, 11, 11, 11, 12, 12, 12, 12, 12], [4, 5, 7, 7, 7, 8, 8, 12, 12, 12, 12, 12], [2, 7, 7, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10, 10]]
[[], [2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9], [4, 8, 8, 8, 11, 11, 11, 12], [12, 12, 12, 12, 12, 12, 12], [3, 5, 8, 10, 10, 10, 10, 10, 12, 12]]
[[], [4, 11, 11, 11, 12, 12], [6, 8, 8, 8, 8, 9, 9, 12], [7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 3, 5, 12, 12, 12, 12, 12], [10, 10, 10, 10, 10, 12, 12]]
[[], [4, 6, 8, 8, 8, 8, 9, 9], [3, 12, 12, 12, 12, 12], [7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 12, 12, 12, 12, 12], [10, 10, 10, 10, 10, 11], [5, 11, 11]]
[[], [7, 7, 12, 12], [5, 8, 8, 8, 8], [2, 3, 12, 12, 12, 12], [10, 10, 10, 10, 10], [4, 7, 7, 11, 11, 11], [6, 12, 12, 12, 12], [7, 7, 7, 7, 7, 9, 9]]
[[], [6, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [7, 7, 9, 9, 11], [7, 7, 7, 7, 7, 7, 7], [10, 10, 10, 10, 10], [4, 11, 11], [2, 3, 5, 8, 8, 8, 8]]
[[], [7, 7, 7, 7, 7, 7], [6, 11, 11, 11], [2, 7, 7, 7, 10, 12], [5, 12, 12, 12], [8, 8, 8, 8, 10], [10, 10, 12, 12], [3, 12, 12, 12], [10], [4, 9, 9, 12]]
[[], [10, 10, 10, 10], [7, 11, 11, 11], [12, 12, 12], [8, 8, 8, 8], [7], [6, 7, 12, 12], [7, 7, 7, 7, 10], [4, 12, 12, 12], [2, 3, 7, 7, 9, 9], [5, 12, 12]]
[[], [12, 12, 12], [10, 10, 10], [], [7, 7, 7, 7, 7], [2, 11, 11, 11], [3, 9, 12, 12], [4, 9, 12, 12], [6, 12, 12], [7, 7, 7, 7], [8, 8, 8, 8], [5, 10, 10, 12]]
[[], [4, 12, 12], [8, 8, 8, 8], [5, 10, 10], [3, 10, 10, 10], [12, 12], [12, 12], [11, 12], [2, 6, 11, 11], [7, 7, 9, 9], [7, 7, 7, 7], [7, 7, 7, 12], [12, 12]]
[[], [7, 8, 8, 8], [12, 12], [7, 7, 7, 7], [2, 5, 12, 12], [4, 7, 7, 7, 7], [12, 12], [3, 6, 9, 9], [11, 11], [12, 12], [11, 12], [10, 10, 10], [8], [10, 10, 12]]
[[], [12, 12], [10, 10, 10], [11, 12], [3, 8, 8, 8], [7, 7, 7, 7], [2, 7, 12], [12, 12], [6, 12, 12], [4, 5], [10, 10], [12, 12], [8, 11, 11], [7, 7, 7, 7], [9, 9]]
[[], [7, 7, 7, 7], [5, 10, 11], [8, 8, 8], [4, 8, 12], [7, 7, 7, 7], [2, 3], [11, 11], [12, 12], [10, 10], [9, 9], [12, 12], [6, 10, 10], [12, 12], [12, 12], [7, 12]]
[[], [7, 8, 8], [12], [6, 11], [12, 12], [7, 7, 7], [11, 11], [10, 10], [4, 7, 12], [9, 9], [2, 3, 8, 8], [12, 12], [5, 7, 10], [7, 7, 7], [12, 12], [12, 12], [10, 10]]
[[], [12, 12], [12, 12], [9], [7, 7, 7], [12, 12], [8, 8, 8], [10, 10], [4, 7, 12], [8, 11], [3, 6, 7, 9], [2, 10, 12], [7], [], [11, 11], [5, 10, 10], [7, 7, 7], [12, 12]]
[[], [12, 12], [], [12, 12], [8, 8, 8], [10], [7, 7, 7], [11, 11], [7, 7, 8], [4, 5, 6, 7], [10, 10], [12, 12], [12, 12], [11], [7, 7, 7], [], [2, 9, 9], [3, 10, 10], [12, 12]]
[[12], [5, 7, 7], [12], [7, 7, 7], [11], [8, 8], [6, 12], [7, 12], [10, 12], [9, 9], [10, 10], [10, 10], [11, 11], [12], [12], [2, 8, 8], [12], [3, 7, 7], [4, 12], [7, 12]]
[[12], [3, 11], [12], [5, 12], [7, 12], [10, 10], [11], [10, 10], [6, 8], [7, 7, 7], [2, 12], [12], [8, 12], [9, 9], [7, 7, 7], [4, 7, 7], [8, 8], [10, 11], [12], [12], [12]]
[[12], [6, 12], [9, 9], [12], [12], [8, 8], [11], [10, 10], [10], [11], [11], [4, 7, 7], [8, 8], [7, 7, 7], [10, 10], [12], [7, 7, 7], [7, 12], [12], [12], [2, 3, 12], [5, 12]]
[[11], [7, 12], [8, 8], [11], [4, 12], [12], [7, 7], [12], [12], [10, 10], [6, 12], [8, 8], [7, 7], [5, 12], [12], [10], [3, 7, 7], [9, 9], [11], [2, 12], [10, 10], [12], [7, 7]]
[[10], [9, 9], [2, 12], [11], [8, 8], [7, 10], [6, 12], [7, 7], [8, 10], [12], [3, 7, 7], [7, 11], [10], [12], [4, 7, 7], [12], [12], [5, 10], [11], [12], [12], [7, 8], [12], [12]]
[[12], [3], [7, 11], [11], [12], [7, 7], [9, 9], [12], [12], [8, 8], [12], [2, 12], [8, 8], [7, 10], [12], [7, 10], [10], [4, 10], [5, 11], [12], [6, 12], [7, 7], [7, 10], [7], [12]]
[[12], [5, 11], [7, 7], [12], [8, 8], [11], [2, 10], [10], [7, 9], [12], [12], [12], [10], [4, 12], [7, 10], [3, 12], [12], [8, 8], [7, 9], [6], [7, 7], [11], [10], [7, 7], [12], [12]]
[[12], [11], [12], [9], [12], [7, 7], [12], [12], [7, 7], [12], [10], [8, 8], [11], [10], [7, 7], [12], [12], [2, 7, 7], [3, 12], [5, 9], [10], [8, 8], [7, 10], [4, 11], [12], [6], [10]]
[[11], [7, 7], [7, 7], [12], [12], [7, 7], [4, 12], [12], [9], [8, 8], [2, 6], [12], [5, 11], [10], [3, 10], [10], [10], [7, 7], [12], [12], [11], [12], [12], [12], [8, 8], [10], [7, 9], []]
[[10], [7, 7], [11], [12], [5, 10], [12], [12], [3, 12], [9], [12], [7, 7], [7], [12], [12], [11], [12], [7, 7], [7, 7], [4, 10], [8, 8], [2, 10], [], [9], [6], [8, 8], [12], [10], [11], [12]]
[[], [6], [12], [12], [7, 7], [11], [12], [4, 10], [10], [7, 7], [7, 7], [8, 8], [12], [12], [], [5, 10], [12], [12], [10], [8, 8], [12], [7, 9], [3, 7], [2, 12], [12], [11], [9], [7], [10], [11]]
[[10], [7, 7], [10], [12], [12], [8], [12], [11], [9], [7, 7], [8], [12], [8], [12], [9], [4], [3, 7], [12], [12], [11], [12], [7, 7], [2, 12], [10], [10], [8], [12], [11], [6, 7], [5, 7], [10]]
[[10], [10], [11], [7, 7], [7, 7], [8], [6], [12], [8], [10], [9], [7, 7], [12], [12], [10], [4, 7], [12], [9], [12], [10], [2, 11], [8], [5], [12], [8], [3], [12], [12], [12], [11], [7, 7], [12]]
[[12], [8], [7, 7], [12], [8], [11], [11], [7, 7], [9], [12], [12], [12], [8], [], [7, 7], [11], [12], [12], [2, 6], [10], [12], [3, 10], [10], [12], [12], [7, 7], [5], [4, 10], [9], [], [8], [10], [7]]
[[], [10], [12], [2, 8], [7], [12], [7], [11], [11], [3, 7], [5, 8], [10], [10], [12], [12], [12], [4, 7], [6, 7], [8], [12], [10], [8], [7], [9], [10], [7], [7], [12], [12], [9], [12], [12], [7], [11]]
[[8], [2, 7], [9], [4, 7], [7], [7], [12], [12], [6, 7], [10], [12], [9], [7], [11], [11], [10], [12], [12], [3, 5], [12], [12], [10], [], [7], [11], [12], [8], [12], [8], [7], [8], [12], [10], [7], [10]]
[[9], [11], [4, 6], [7], [7], [9], [7], [12], [3], [10], [7], [8], [12], [12], [12], [2, 7], [10], [7], [7], [10], [12], [8], [12], [11], [11], [5], [12], [12], [10], [12], [8], [8], [7], [12], [7], [10]]
[[10], [12], [12], [7], [12], [7], [7], [7], [11], [7], [12], [8], [9], [9], [12], [12], [3, 8], [12], [10], [11], [12], [7], [10], [10], [6], [], [7], [7], [5, 8], [4], [12], [12], [2, 7], [8], [], [10], [11]]
[[8], [9], [12], [6], [9], [4, 7], [12], [5, 7], [12], [12], [10], [7], [10], [12], [7], [], [12], [3], [2, 8], [12], [8], [7], [], [12], [7], [12], [7], [11], [7], [11], [], [8], [12], [10], [11], [10], [7], [10]]
-EndAllocation

Instance: [[1], [335], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [224, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [168, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 11], [2, 4, 5, 8, 8, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12, 12, 12], [5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 11, 12, 12], [2, 3, 4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 12, 12]]
[[8], [3, 6, 6, 6, 8, 11, 11, 12, 12, 12, 12, 12], [4, 5, 7, 7, 12, 12, 12, 12, 12, 12, 12], [2, 7, 7, 7, 7, 7, 7, 7, 9, 9, 10, 10, 10, 10]]
[[], [2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9], [4, 6, 6, 8, 8, 11, 11, 12, 12], [12, 12, 12, 12, 12, 12, 12], [3, 5, 10, 10, 10, 10, 12, 12, 12]]
[[12, 12], [4, 11, 11, 12, 12], [6, 6, 6, 8, 8, 9, 9, 12], [7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 3, 5, 12, 12, 12, 12, 12], [10, 10, 10, 10, 12, 12]]
[[], [4, 5, 6, 6, 6, 8, 8, 9, 9], [3, 12, 12, 12, 12, 12], [7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 12, 12, 12, 12, 12], [10, 10, 10, 10, 11, 11], [12, 12]]
[[], [12, 12, 12, 12], [5, 8, 8], [2, 3, 12, 12, 12, 12], [7, 7, 10, 10, 10, 10], [4, 6, 6, 7, 7, 11, 11], [6, 12, 12, 12, 12], [7, 7, 7, 7, 7, 9, 9]]
[[], [6, 6, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [7, 7, 9, 9, 11], [7, 7, 7, 7, 7, 7, 7], [6, 10, 10, 10, 10], [4, 11], [2, 3, 5, 8, 8, 12, 12]]
[[], [7, 7, 7, 7, 7, 7], [6, 6, 6, 11, 11], [2, 7, 7, 7, 10, 12], [5, 12, 12, 12], [8, 8, 10, 10], [12, 12, 12], [3, 12, 12, 12], [10, 12], [4, 9, 9, 12]]
[[], [10, 10, 10, 10], [7, 7, 7, 7, 11], [12, 12, 12], [8, 8], [12, 12, 12], [6, 6, 6, 12], [7, 7, 7, 7, 7], [4, 12, 12, 12], [2, 3, 9, 9], [5, 11, 12, 12]]
[[], [12, 12], [10, 10, 12], [11], [7, 7, 7, 7, 7], [2, 11, 12, 12], [3, 9, 12, 12], [4, 9, 12, 12], [6, 6, 6, 12], [7, 7, 7, 7], [8, 8, 10, 10], [5, 12, 12]]
[[12], [4, 12, 12], [8, 8, 12], [5, 10, 10], [3, 10, 10], [12, 12], [12, 12], [11, 12], [2, 6, 6, 6, 11], [7, 7, 9, 9], [7, 7, 7, 7], [7, 7, 7, 12], [12, 12]]
[[], [7, 8, 8], [12, 12], [7, 7, 7, 7], [2, 5, 12, 12], [4, 7, 7, 7, 7], [12, 12], [3, 6, 6, 6, 9], [11, 12], [12, 12], [11, 12], [10, 10, 10], [9, 12], [10, 12]]
[[], [12, 12], [10, 10, 10], [11, 12], [3, 8, 8], [7, 7, 7, 7], [2, 7, 12], [12, 12], [6, 6, 6, 12], [4, 5], [10, 12], [12, 12], [11, 12], [7, 7, 7, 7], [9, 9, 12]]
[[], [7, 7, 7, 7], [5, 11, 12], [8, 8, 10], [4, 12], [7, 7, 7, 7], [2, 3], [7, 10, 11], [12, 12], [10, 12], [9, 9], [12], [6, 6, 6, 10], [12, 12], [12, 12], [12, 12]]
[[], [7, 7, 7], [12], [6, 6, 6], [12, 12], [12, 12], [11, 11], [10, 10], [4, 12], [9, 9], [2, 3, 8, 8], [12, 12], [5, 7, 7, 7], [7, 7, 7], [12, 12], [12, 12], [10, 10]]
[[], [12, 12], [12, 12], [], [7, 7, 7], [12, 12], [7, 8, 8], [10, 10], [4, 7, 12], [9, 11], [3, 6, 6, 6], [2, 12], [7], [12, 12], [9, 11], [5, 10, 10], [7, 7, 7], [12, 12]]
[[], [12, 12], [], [12, 12], [4, 8, 8], [12, 12], [7, 7, 7], [11, 11], [7, 7, 7], [5, 6, 6, 6], [10, 10], [12, 12], [12, 12], [], [7, 7, 7], [], [2, 9, 9], [3, 10, 10], [12, 12]]
[[12], [5, 12], [12], [7, 7, 7], [11], [7, 12], [6, 12], [7, 12], [7, 12], [9, 9], [10, 10], [10, 10], [2, 7, 11], [7, 12], [12], [8, 8], [12], [3, 12], [4, 12], [6, 6, 7]]
[[12], [3, 12], [12], [5, 12], [7, 12], [10, 10], [11], [10, 10], [6, 6, 6], [7, 7, 7], [2, 12], [12], [12], [9, 12], [7, 7, 7], [4, 7, 7], [8, 8], [9, 11], [12], [12], [12]]
[[12], [6, 6, 6], [9, 9], [12], [12], [8, 8], [12], [10, 10], [12], [11], [11], [4, 7, 7], [12], [7, 7, 7], [10, 10], [12], [7, 7, 7], [7, 12], [12], [12], [2, 3, 12], [5, 12]]
[[11], [7, 12], [7, 12], [11], [4, 12], [12], [7, 7], [12], [12], [10, 10], [6, 6, 6], [8, 8], [7, 7], [5, 12], [12], [12], [3, 7], [9, 9], [12], [2, 12], [10, 10], [12], [7, 7]]
[[12], [9, 9], [2, 12], [11], [7, 8], [7, 10], [6, 6, 6], [7, 7], [8, 10], [12], [3, 7, 7], [7, 10], [12], [12], [4, 12], [12], [12], [5, 10], [11], [12], [12], [7, 7], [12], [12]]
[[12], [3], [7, 7], [11], [12], [7, 7], [9, 9], [12], [12], [12], [12], [2, 12], [8, 8], [7, 10], [12], [7, 10], [12], [4, 10], [5, 11], [12], [6, 6, 6], [7, 7], [7, 10], [12], [12]]
[[12], [5, 12], [7, 7], [12], [7, 7], [11], [2, 10], [10], [9], [12], [12], [12], [10], [4, 12], [12], [3, 12], [12], [8, 8], [7, 9], [6, 6], [7, 7], [6, 11], [10], [7, 7], [12], [12]]
[[12], [7, 10], [12], [6, 6], [], [7, 7], [12], [12], [7, 7], [12], [12], [12], [11], [10], [7, 9], [12], [12], [2, 7, 7], [3, 12], [5, 9], [10], [8, 8], [7, 10], [4, 11], [12], [6], [12]]
[[12], [7, 7], [7, 7], [12], [12], [7, 7], [4, 12], [12], [9], [12], [2, 6, 6], [12], [5, 11], [10], [3, 10], [10], [10], [7, 7], [12], [12], [11], [12], [12], [12], [8, 8], [], [7, 9], [6]]
[[10], [7, 7], [11], [12], [5, 10], [12], [12], [3, 12], [9], [6], [7, 7], [7], [12], [12], [11], [12], [7, 7], [7, 7], [4, 10], [8, 8], [2, 10], [], [9], [6, 6], [12], [12], [12], [12], [12]]
[[], [6, 6], [12], [12], [7, 7], [7, 7], [12], [4, 10], [12], [7, 7], [6], [7, 7], [12], [12], [], [5, 10], [12], [12], [10], [8, 8], [12], [7, 9], [3, 12], [2, 12], [12], [11], [9], [], [10], [11]]
[[10], [7, 7], [10], [12], [12], [8], [12], [11], [9], [7, 7], [7, 7], [12], [12], [12], [9], [4], [3, 6], [7], [12], [12], [12], [7, 7], [2, 12], [10], [10], [8], [12], [11], [6, 6], [5], [12]]
[[10], [10], [11], [7, 7], [7, 7], [8], [6, 6], [12], [8], [10], [9], [12], [12], [12], [10], [4, 7], [12], [9], [12], [6], [2, 11], [12], [5], [12], [7, 7], [3], [12], [12], [12], [7, 7], [12], []]
[[12], [8], [12], [12], [7], [11], [11], [7, 7], [7, 7], [12], [12], [12], [6, 8], [], [7, 7], [], [12], [12], [2, 6, 6], [10], [12], [3, 10], [10], [12], [12], [7, 7], [5], [4, 10], [9], [], [9], [12], []]
[[], [10], [12], [2, 8], [7], [12], [7], [11], [11], [3, 7], [5, 8], [6, 7], [10], [12], [12], [12], [4], [6, 6], [12], [12], [10], [7], [7], [9], [10], [7], [7], [12], [12], [9], [12], [12], [7], [12]]
[[8], [2, 7], [9], [4, 7], [7], [6, 7], [12], [12], [6, 6], [10], [12], [9], [7], [11], [12], [10], [12], [12], [3, 5], [12], [12], [12], [], [7], [11], [12], [], [12], [7], [7], [8], [12], [10], [7], [10]]
[[9], [11], [4, 6], [7], [7], [9], [7], [12], [3], [10], [7], [8], [12], [12], [12], [2, 7], [10], [7], [7], [10], [12], [12], [6, 6], [11], [12], [5], [12], [12], [10], [12], [12], [8], [7], [12], [7], []]
[[12], [12], [12], [7], [], [7], [7], [2, 7], [11], [7], [12], [8], [9], [9], [12], [12], [3, 8], [12], [10], [11], [12], [7], [10], [10], [6, 6], [], [7], [7], [5], [4], [12], [12], [6, 7], [12], [], [10], [12]]
[[12], [9], [12], [6, 6], [9], [4, 7], [12], [5, 7], [12], [12], [], [7], [10], [12], [7], [], [12], [3, 6], [2, 8], [12], [8], [7], [], [12], [7], [12], [7], [11], [7], [12], [], [10], [12], [10], [11], [10], [7], []]
-EndAllocation

Instance: [[1], [334], 38]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,38. UB Alg: [222, 149, 112, 89, 74, 64, 56, 50, 45, 41, 37, 34, 32, 30, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [167, 112, 84, 67, 56, 48, 42, 38, 34, 31, 28, 26, 24, 23, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,38:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [5, 5, 5, 9, 12, 12], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 12], [5, 12, 12, 12, 12], [12, 12, 12, 12], [5, 12, 12, 12, 12], [9, 12, 12, 12], [5, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [9], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 12]]
[[], [5, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [], [12, 12, 12], [12, 12, 12], [9, 12, 12], [5, 5, 5, 12], [12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 9], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [9, 12]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 9], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 9], [12, 12], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [], [], [5, 5, 5, 5], [12, 12], [5, 5, 5, 9], [12, 12], [12, 12]]
[[], [5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5], [12, 12], [], [], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 9], [12, 12], [12, 12]]
[[12], [12], [12], [5, 5, 12], [9, 12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12]]
[[12], [12], [9, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [12], [12]]
[[12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 5, 9], [5, 12], [12], [12], [5, 12], [5, 5, 5, 5], [12]]
[[12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 5, 5, 5], [12], [9], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [12], [12]]
[[12], [5, 12], [12], [12], [5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 5, 5], [5, 12], [5, 12], [12], [5, 12], [12], [9], [12], [12]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [5, 12], [9], [12], [5, 5, 5], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 12], [5, 5, 5], [12], [9], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5]]
[[12], [5, 5, 5], [12], [5, 5], [12], [12], [9], [12], [5, 5, 5], [], [12], [12], [12], [12], [5, 5, 5], [5, 12], [5, 12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [12]]
[[12], [12], [12], [12], [5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [9], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [5, 5, 5], [], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 9], [5], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5]]
[[12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [], [12], [12], [12], [5, 5], [5, 5, 5], [], [12], [9], [12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], []]
[[], [9], [5, 5], [5, 5], [12], [12], [5, 5], [5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [5, 5], [12], [12]]
[[12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [], [12], [5, 9], [12], [5, 5], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [5, 5], [12], [12], [12]]
[[12], [12], [], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [], [5], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [9], [12], [12], [12], [12], [12], [5, 5]]
[[12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [], [], [12], [12], [12], [12], [], [12], [5, 5], [12], [12], [12], [12], [5], [], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12], [9], [12], [12]]
[[12], [5, 5], [], [12], [], [12], [], [12], [5, 5], [5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [9], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [12], [12], [12], [5, 5]]
[[12], [12], [], [12], [12], [12], [5], [12], [5, 5], [12], [], [12], [12], [5, 5], [12], [5, 5], [5, 5], [9], [], [], [12], [12], [12], [12], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [], [5, 5], [12], [5, 5]]
[[], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [12], [12], [12], [5, 5], [5, 5], [], [5, 5], [12], [9], [], [], [12], [5, 5], [5], [5, 5], [12], [12], [12], []]
[[12], [12], [12], [12], [9], [12], [12], [], [5], [], [], [12], [12], [12], [12], [12], [], [12], [5, 5], [12], [], [5, 5], [12], [12], [5, 5], [12], [], [], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [5, 5], [12], [5, 5]]
-EndAllocation

Instance: [[1], [351], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [234, 156, 117, 94, 78, 68, 58, 52, 48, 42, 40, 36, 34, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 17, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 12], Opt: [176, 117, 88, 71, 59, 51, 44, 39, 36, 32, 30, 27, 26, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[11, 11, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12]]
[[5], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12]]
[[], [5, 5, 12, 12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9]]
[[], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 11, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 9, 12, 12, 12, 12, 12]]
[[], [11, 11, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 12, 12, 12], [12, 12, 12, 12], [12]]
[[], [9, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12], [5, 5], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12]]
[[], [12, 12, 12], [11, 11, 12], [12, 12], [12, 12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [9, 11, 11], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [], [12, 12, 12], [12, 12]]
[[], [12, 12, 12], [], [9, 11, 11], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 12, 12], [12, 12, 12], [], [12, 12, 12], [12, 12, 12]]
[[], [12, 12], [12, 12], [12, 12], [11, 11, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [9, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 12], [11, 11], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [12, 12], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 12], [5, 12, 12], [12], [12, 12], [5, 5, 5, 5, 5], [9], [12, 12], [12, 12], [11, 11], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [12, 12]]
[[], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [11, 11], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [9, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [5, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5], [11, 11], [12, 12], [], [5, 5, 5, 9], [5, 5, 5, 5, 5], [12, 12], [], [5, 5, 5, 5, 5]]
[[], [], [], [9, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 12], [11, 11], [12, 12]]
[[], [], [11, 11], [12, 12], [12, 12], [], [5, 5, 5, 5], [12], [12, 12], [9, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [9, 12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [11, 11], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12]]
[[12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 5, 11], [12], [5, 12], [12], [9, 12], [12], [5, 5, 11], [5, 12], [5, 12], [5, 12]]
[[12], [12], [12], [5, 11], [12], [5, 12], [12], [5, 5, 11], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [9, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12]]
[[12], [12], [12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 11], [5, 5, 5, 5], [9], [5, 12], [11], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12]]
[[12], [12], [5, 5, 9], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5], [12], [11], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [12], [11], [12], [5, 12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 12], [12], [12], [11], [5, 12], [5, 12], [12], [5, 11], [9], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12]]
[[5, 12], [9], [5, 5, 5], [12], [12], [12], [12], [11], [12], [5, 5, 5], [12], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [12], [12], [11], [12], [5, 5, 5], [12], [5, 12], [12], [5, 12]]
[[12], [11], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [9], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [5, 5, 5], [12], [12], [12], [11], [5, 5], [], [12], [5, 12], [12], [5, 5, 5], [11], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [12], [9], [12], [5, 5, 5], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 5, 5], [12], [12], [5], [], [12], [12], [5, 5, 5], [12], [9], [12], [12], [12], [12], [12], [12], [11], [12], [12], [12], [12], [5, 5, 5], [11]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [12], [12], [12], [], [12], [12], [12], [9], [12], [12], [12], [], [5, 5, 5], [12], [5, 11], [11]]
[[12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [11], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [11], [5, 5], [12], [12], [], [9], [12], [12], [12], [12], [12]]
[[12], [], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [5, 5], [12], [12], [5, 5], [9], [5, 5], [12], [12], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [11], [12], [12], [11]]
[[12], [12], [5, 5], [11], [12], [], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [9], [12], [12], [12], [5, 5], [], [5, 5], [12], [12], [12], [11], [12], [5, 5], []]
[[12], [12], [12], [12], [], [], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [], [5, 5], [5, 5], [11], [5, 5], [12], [12], [12], [12], [12], [11], [5, 5], [9], [12], [5, 5], [12], [12]]
[[], [5, 5], [5, 5], [12], [12], [12], [5, 5], [5, 5], [12], [5, 5], [], [], [], [12], [12], [12], [12], [12], [5, 5], [12], [11], [9], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [11], [12], [12], [], [5, 5]]
[[], [12], [], [5, 5], [12], [12], [12], [11], [12], [5, 5], [5, 5], [9], [5, 5], [11], [12], [12], [5, 5], [5, 5], [12], [12], [12], [], [12], [12], [12], [12], [12], [5, 5], [], [12], [12], [], [12], [12], [5, 5], [], [12]]
[[12], [12], [12], [12], [], [11], [12], [], [12], [], [5, 5], [12], [], [12], [12], [12], [11], [5, 5], [12], [5, 5], [12], [12], [12], [], [5, 5], [5, 5], [], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [9], [], [5, 5]]
[[12], [], [], [12], [12], [12], [5, 5], [], [12], [12], [], [5, 5], [12], [12], [], [], [12], [12], [9], [], [5, 5], [12], [5, 5], [12], [11], [12], [5, 5], [12], [5, 5], [11], [12], [12], [12], [5, 5], [12], [12], [], [5, 5], [12]]
-EndAllocation

Instance: [[1], [350], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11], [4, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12]]
[[4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 12, 12, 12, 12, 12, 12], [9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11]]
[[4, 6, 6, 6, 6, 11, 11, 11, 11, 11], [10, 10, 10, 10, 10], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[4, 6, 6, 6, 6, 7, 10, 10, 10, 10, 10], [9, 9, 9, 9, 11, 11, 11, 11, 11], [9, 12, 12, 12, 12, 12, 12], [], [7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9], [6, 6, 6, 6, 10, 10, 10, 10, 10], [11, 11, 11, 11, 11], [12, 12, 12, 12, 12, 12], [7, 7, 7, 7]]
[[4, 9, 9, 9, 9, 9], [10, 10, 10, 10, 10], [11, 11, 11, 11, 11], [12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 7, 7, 7, 7, 8], [12]]
[[4, 12, 12, 12, 12], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [12, 12], [6, 6, 6, 6], [10, 10, 10, 10, 10], [11, 11, 11, 11, 11], [7, 7, 7, 7, 8, 8]]
[[4, 7, 7, 7, 7, 8, 8], [8, 8, 11, 11], [8, 8, 11, 11, 11], [6, 6, 6, 6, 12, 12], [10, 10, 10, 10, 10], [12, 12, 12, 12], [9, 9, 9, 9, 9], [8, 8], [8]]
[[4, 8, 8, 8, 8, 8], [12, 12, 12], [], [9, 9, 9, 9, 9], [11, 11, 11, 11], [10, 10, 10, 10], [7, 7, 7, 7, 11], [12, 12, 12], [6, 6, 6, 6, 10], [8, 8, 8, 8]]
[[4, 12, 12, 12], [], [10, 10, 10, 10], [12, 12, 12], [6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [11, 11, 11], [7, 7, 7, 7, 10], [8, 8, 8, 8], [9, 11, 11]]
[[4, 8, 8, 8, 9], [9, 9, 9, 9], [11, 11, 11], [11, 11], [10, 10, 10, 10], [], [], [12, 12, 12], [7, 7, 7, 7, 12], [8, 10, 12], [6, 6, 6, 6, 12], [8, 8, 8, 8, 8]]
[[4, 8, 8, 8, 8], [9], [9, 9, 9, 9], [6, 6, 6, 6], [11, 11, 11], [10, 10, 10], [], [12, 12, 12], [7, 7, 7, 7], [8, 11, 11], [12, 12, 12], [8, 8, 8, 8], [10, 10]]
[[4, 12, 12], [], [7, 7, 7, 7], [11, 11, 11], [9, 9, 9], [8, 9, 9], [10, 10], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [12, 12], [6, 6, 6, 6], [11, 11], [12, 12]]
[[4, 8, 9, 9], [8, 12, 12], [6, 6, 6, 6, 8], [8], [7, 7, 7, 11], [9, 9, 9], [], [8, 12, 12], [12, 12], [7, 8], [10, 10], [8, 11, 11], [8], [8, 11, 11], [10, 10, 10]]
[[4, 8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [12, 12], [10], [11, 11], [10, 10], [10, 10], [8, 8, 8], [9, 9, 11], [8, 8, 8], [12, 12], [11, 11], [], [6, 6, 6, 6], [12, 12]]
[[4, 8, 8, 8], [10, 10], [12, 12], [10, 10], [12, 12], [12, 12], [11, 11], [6, 6, 6, 6], [8, 8, 8], [8, 10], [7, 7, 7, 7], [9, 9, 9], [], [9, 9], [8, 8, 11], [], [11, 11]]
[[8, 8, 8], [7, 7, 7], [9, 9], [], [12, 12], [6, 6, 6, 6], [9, 11], [11, 11], [8, 8, 8], [4, 10, 10], [7, 10], [], [8, 8, 8], [12, 12], [10, 10], [9, 9], [12, 12], [11, 11]]
[[8, 8, 8], [10], [10, 10], [9, 9], [], [11, 11], [4], [10, 10], [8, 8, 8], [8, 8, 8], [12, 12], [11, 11], [12, 12], [7], [9, 9], [12, 12], [6, 6, 6, 6], [7, 7, 7], [9, 11]]
[[4, 8, 12], [6, 6, 6, 6], [11, 11], [12, 12], [12, 12], [10, 10], [9, 9], [], [7, 8, 8], [8, 8], [8, 12], [8, 9], [], [10], [8, 8], [7, 7, 7], [11], [9, 9], [11, 11], [10, 10]]
[[4, 9, 9], [8, 8], [11, 11], [9, 12], [12], [8, 11], [10, 12], [11, 11], [6, 8, 8], [12], [8, 8], [6, 6, 6], [8, 8], [12], [7, 12], [7, 7, 7], [10, 10], [9, 9], [10, 10], [], []]
[[4, 12], [8, 11], [12], [7, 11], [6, 11], [10, 10], [8, 8], [7, 12], [8, 8], [8, 9], [8, 8], [8, 12], [9, 9], [7, 11], [10, 10], [12], [9, 9], [], [10], [7, 12], [11], [6, 6, 6]]
[[4, 8, 8], [], [6, 6, 6], [8, 12], [12], [10, 11], [10, 10], [11], [8, 8], [8, 8], [8, 8], [11], [10, 10], [7, 7, 7], [12], [9, 9], [12], [11], [9, 9], [9, 12], [6], [11], [7, 12]]
[[4, 8, 8], [11], [10], [11], [10, 10], [6, 6, 6], [9, 9], [6, 12], [10, 10], [8, 8], [8, 8], [8, 8], [8, 12], [11], [12], [7, 7], [9, 9], [7, 7], [9], [12], [11], [12], [12], [11]]
[[8, 8], [12], [8, 8], [10], [7, 10], [10], [10], [12], [8, 10], [8, 8], [7, 11], [9, 9], [6, 11], [4, 7, 7], [12], [9, 9], [11], [12], [11], [12], [9], [11], [12], [6, 6, 6], [8, 8]]
[[9, 9], [8, 8], [12], [7], [10], [12], [6, 11], [7, 10], [8, 8], [4, 6, 7], [7, 11], [6, 11], [6, 12], [11], [12], [9, 9], [10], [8, 8], [11], [8, 8], [10], [12], [9], [8], [12], [10]]
[[10], [6, 11], [12], [12], [11], [11], [10], [12], [8, 8], [6, 9], [9], [8, 8], [6, 10], [4, 12], [12], [7, 10], [6, 7], [9], [8, 8], [7, 7], [8, 8], [11], [8, 9], [12], [11], [9], [10]]
[[8, 8], [8, 8], [4, 11], [7, 10], [11], [12], [8, 9], [11], [6, 6], [12], [9], [11], [12], [12], [7, 10], [7], [12], [7, 9], [12], [9], [11], [8, 8], [10], [10], [9], [6, 6], [10], [8, 8]]
[[4, 10], [8, 8], [8, 8], [11], [10], [7, 7], [11], [12], [7, 9], [12], [7, 9], [11], [8, 9], [12], [11], [11], [8, 8], [9], [], [6, 6], [12], [9], [10], [6, 6], [10], [12], [10], [12], [8, 8]]
[[12], [8, 8], [6, 6], [10], [12], [6, 6], [11], [12], [7, 8], [9], [9], [8, 8], [11], [11], [8, 8], [], [12], [7, 7], [11], [10], [9], [10], [9], [11], [12], [12], [4, 10], [10], [7, 9], [8, 8]]
[[4, 7], [7, 8], [8, 8], [10], [12], [10], [9], [8, 8], [6, 6], [10], [12], [12], [10], [7, 7], [11], [11], [12], [], [9], [12], [9], [9], [11], [6, 6], [11], [12], [8, 8], [9], [11], [10], [8, 8]]
[[12], [11], [6, 8], [11], [12], [10], [6, 8], [9], [7, 7], [11], [12], [9], [7, 7], [6, 8], [12], [8], [9], [6, 8], [10], [10], [8], [8], [10], [11], [9], [8], [11], [8], [12], [9], [12], [4, 10]]
[[7, 7], [12], [11], [6, 6], [6, 8], [8], [11], [9], [8], [11], [11], [10], [9], [12], [11], [8], [9], [10], [8], [10], [12], [12], [9], [9], [8], [8], [12], [6, 8], [10], [10], [7, 7], [4, 8], [12]]
[[9], [12], [4, 10], [6, 8], [12], [8], [8], [8], [7, 7], [8], [10], [7, 7], [10], [11], [12], [6, 8], [12], [9], [], [9], [8], [9], [12], [11], [10], [10], [8], [12], [11], [8], [11], [11], [9], [6, 6]]
[[4, 8], [11], [8], [9], [9], [6, 7], [6, 7], [12], [12], [], [8], [8], [9], [8], [8], [8], [8], [8], [10], [12], [6, 7], [12], [10], [10], [10], [6, 7], [11], [9], [12], [9], [11], [11], [12], [11], [10]]
[[4, 9], [11], [11], [9], [8], [6, 6], [9], [12], [9], [12], [8], [12], [8], [6], [8], [7], [9], [6, 7], [12], [7], [8], [8], [10], [8], [11], [8], [12], [12], [11], [11], [7], [10], [10], [10], [10], [8]]
[[11], [4, 8], [8], [8], [9], [8], [9], [11], [12], [8], [7], [9], [12], [10], [12], [11], [12], [12], [10], [12], [9], [10], [11], [9], [10], [10], [6, 6], [7], [8], [7], [], [8], [11], [6, 6], [7], [8], [8]]
[[11], [11], [11], [9], [6], [8], [8], [6, 7], [9], [9], [12], [12], [9], [8], [8], [], [12], [12], [8], [7], [12], [], [6, 7], [12], [10], [10], [10], [10], [8], [6, 7], [10], [11], [9], [8], [], [8], [11], [4, 8]]
[[4, 8], [11], [7], [8], [7], [8], [9], [8], [8], [8], [8], [10], [6, 6], [12], [12], [7], [8], [6, 6], [10], [11], [7], [9], [11], [12], [9], [12], [], [], [], [10], [9], [12], [10], [12], [11], [9], [10], [11], [8]]
-EndAllocation

Instance: [[1], [349], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [233, 156, 117, 93, 78, 66, 58, 52, 46, 42, 40, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [175, 117, 88, 70, 59, 50, 44, 39, 35, 32, 30, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9]]
[[6, 6, 6, 6, 6, 9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 10, 10, 10, 10, 10, 11, 11, 11, 11]]
[[11, 11, 11, 11], [7, 7, 7, 7, 10, 10, 10, 10, 10], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 6, 7, 7, 10, 10, 10, 10, 10], [6, 8, 9, 9, 9, 9, 9, 11, 11, 11], [11, 12, 12, 12, 12, 12, 12], [], [7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8], [], [10, 10, 10, 10, 10, 11], [9, 9, 9, 9, 9, 11, 11, 11], [12, 12, 12, 12, 12, 12], [6, 6, 6, 6, 6, 7, 7, 7, 7, 8]]
[[9, 9, 9, 9, 9], [8, 8, 10, 10, 10, 10, 10], [11, 11, 11, 11], [12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 7, 7, 7, 7], [12]]
[[12, 12, 12, 12], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8, 8], [12, 12], [6, 6, 6, 6, 6], [10, 10, 10, 10, 10], [11, 11, 11, 11], [7, 7, 7, 7, 8, 8, 8]]
[[6, 7, 7, 8, 8, 8, 8], [], [11, 11, 11, 11], [6, 6, 6, 6, 12, 12], [10, 10, 10, 10, 10], [12, 12, 12, 12], [9, 9, 9, 9, 9], [8, 8, 8, 8, 8, 8], [7, 7]]
[[8, 8, 8, 8, 8], [10, 12, 12, 12], [7], [9, 9, 9, 9, 9], [11, 11, 11, 11], [10, 10, 10, 10], [], [7, 7, 7, 12, 12], [6, 6, 6, 6, 6, 12], [8, 8, 8, 8, 8]]
[[12, 12, 12], [], [10, 10, 10, 10], [12, 12, 12], [6, 6, 6, 6, 6], [9, 9, 9, 9], [8, 8, 8, 8, 8], [11, 11, 11], [7, 7, 7, 7, 10], [8, 8, 8, 8, 8], [9, 11]]
[[8, 8, 8, 8, 8], [9, 9, 9, 9], [11, 11, 11], [11], [10, 10, 10, 10], [], [12], [9, 12, 12], [6, 7, 7, 7, 10], [7, 12, 12], [6, 6, 6, 6, 12], [8, 8, 8, 8, 8]]
[[8, 8, 8, 8], [9], [9, 9, 9, 9], [6, 6, 6, 6, 6], [11, 11, 11], [10, 10, 10], [], [12, 12, 12], [7, 7, 11], [8, 8, 8, 8], [12, 12, 12], [7, 7, 8, 8], [10, 10]]
[[9, 10, 12], [], [7, 7, 7, 9], [11, 11, 11], [9], [8, 8, 9], [12, 12], [10, 10, 10], [8, 8, 8, 8], [8, 8, 8, 8], [9, 10, 12], [6, 6, 6, 6, 7], [6, 11], [12, 12]]
[[8, 8, 8, 8], [12, 12], [6, 6, 6, 6, 6], [], [7, 7, 7, 11], [9, 9], [11, 11], [12, 12], [7, 12, 12], [8, 8, 8, 8], [10, 10, 10], [9, 9, 9], [], [8, 8, 11], [10, 10]]
[[8, 8, 8], [9, 9, 9], [7, 7, 7, 7], [12, 12], [], [11, 11], [10, 10], [10, 10], [8, 8, 8], [8, 9, 10], [8, 8, 8], [12, 12], [6, 11, 11], [9], [6, 6, 6, 6], [12, 12]]
[[8, 8, 8], [], [12, 12], [8, 10, 10], [12, 12], [12, 12], [6, 11, 11], [6, 6, 6, 6], [8, 8, 10], [8, 10, 10], [7, 7, 7, 7], [9, 9, 9], [], [9, 9], [8, 8, 8], [], [11, 11]]
[[8, 8, 8], [7, 7, 7], [9], [8, 8], [12, 12], [6, 6, 6, 6], [11, 11], [9, 9], [8, 8, 8], [10, 10], [7, 10], [], [6, 8, 8], [12, 12], [10, 10], [9, 9], [12, 12], [11, 11]]
[[8, 8, 8], [10, 10], [10, 10], [9, 9], [], [10], [12, 12], [7, 9, 9], [8, 8, 8], [8, 8, 8], [6, 7, 7], [11, 11], [12, 12], [7], [9, 11], [12, 12], [6, 6, 6, 6], [], [8, 11]]
[[8, 8, 8], [6, 6, 6, 6], [11, 11], [12, 12], [12, 12], [10, 10], [9, 9], [], [8, 8, 8], [8, 8, 8], [12, 12], [9], [], [10, 10], [8], [7, 7], [6], [9, 9], [11, 11], [7, 7, 10]]
[[8, 9], [11, 11], [6, 6, 6], [9, 12], [10, 12], [8, 8], [8, 12], [11, 11], [7, 8], [9, 12], [8, 8], [6, 6, 8], [8, 8], [12], [12], [7, 7, 7], [10, 10], [9, 9], [10, 10], [], []]
[[8, 8], [6, 11], [12], [7, 11], [7, 11], [10, 10], [8, 8], [8, 12], [8, 8], [6, 7, 8], [8, 8], [9, 12], [9, 9], [12], [], [], [9, 9], [12], [10, 10], [7, 12], [10, 11], [6, 6, 6]]
[[8, 8], [], [6, 6, 6], [8, 8], [12], [10, 11], [10, 10], [11], [6, 6, 8], [8, 8], [8, 8], [7, 12], [10, 10], [11], [12], [9, 9], [12], [], [9, 9], [9, 12], [11], [8, 12], [7, 7, 7]]
[[8, 8], [10], [10, 10], [11], [10, 10], [6, 6, 6], [9, 9], [12], [8, 8], [8, 8], [8, 8], [8, 8], [7, 12], [6, 12], [6, 9], [], [9, 9], [7, 7], [11], [12], [7, 11], [12], [12], [11]]
[[8, 8], [12], [8, 8], [], [11], [8, 10], [10], [12], [8, 8], [8, 8], [8, 10], [9, 9], [6, 12], [7, 7], [12], [9, 9], [7, 10], [12], [6, 9], [7, 10], [11], [11], [12], [6, 6, 6], [11]]
[[7, 9], [8, 8], [6, 12], [7, 7], [7, 10], [11], [8, 8], [6, 12], [8, 8], [8, 8], [11], [10], [10], [12], [6, 6, 6], [], [12], [8, 8], [11], [9, 9], [10], [12], [9, 9], [11], [10], [12]]
[[12], [10], [12], [9], [9], [11], [6, 9], [7, 10], [8, 8], [12], [8, 8], [8, 8], [7, 10], [12], [9], [6, 10], [6, 9], [12], [8, 8], [7, 7], [8, 8], [6, 10], [11], [12], [], [11], [6, 11]]
[[8, 8], [8, 8], [6, 10], [10], [12], [10], [9], [11], [12], [6, 6], [12], [9], [12], [9], [9], [10], [7, 7], [7, 7], [12], [11], [6, 11], [8, 8], [12], [11], [6, 10], [8, 8], [9], [8, 8]]
[[8, 8], [8, 8], [8, 8], [12], [7, 9], [11], [12], [12], [7, 9], [], [7, 9], [], [6, 10], [11], [12], [6, 6], [8, 8], [10], [10], [11], [9], [11], [7, 10], [6, 6], [10], [12], [12], [9], [8, 8]]
[[6, 10], [6, 10], [6], [6, 9], [11], [10], [6], [12], [12], [12], [10], [7, 9], [7, 8], [10], [8, 8], [7, 9], [12], [7, 8], [11], [], [9], [8, 8], [9], [11], [12], [12], [11], [8, 8], [], [8, 8]]
[[7, 8], [8, 8], [8, 8], [12], [12], [8], [9], [], [10], [12], [12], [12], [10], [7, 7], [6], [11], [12], [9], [7, 9], [6, 6], [11], [9], [11], [6, 6], [10], [11], [8, 8], [10], [9], [10], [8, 8]]
[[7, 7], [6, 8], [6, 8], [6, 8], [8], [10], [9], [6, 8], [10], [8], [12], [12], [10], [12], [7, 7], [9], [10], [9], [12], [12], [11], [6, 8], [8], [9], [11], [10], [8], [9], [12], [11], [11], [8]]
[[8], [6, 8], [11], [12], [10], [6, 8], [9], [10], [12], [12], [6, 8], [8], [8], [8], [11], [9], [9], [12], [9], [8], [7, 7], [12], [7, 7], [9], [10], [8], [6, 6], [10], [10], [8], [11], [11], [12]]
[[8], [8], [8], [8], [8], [7, 7], [12], [12], [7, 7], [10], [8], [6, 6], [10], [11], [12], [6, 6], [9], [10], [9], [9], [10], [12], [10], [9], [11], [8], [12], [8], [12], [8], [11], [9], [11], [6, 8]]
[[6, 7], [6, 7], [6, 7], [8], [8], [8], [7], [11], [8], [8], [10], [11], [12], [10], [8], [8], [12], [10], [9], [9], [11], [12], [8], [12], [8], [12], [11], [9], [6, 6], [9], [12], [10], [10], [9], [8]]
[[6, 6], [8], [8], [8], [10], [8], [9], [12], [9], [7], [7], [12], [11], [8], [9], [10], [6, 6], [9], [10], [12], [8], [11], [11], [10], [8], [8], [12], [11], [10], [8], [6, 7], [12], [12], [8], [7], [9]]
[[10], [12], [12], [9], [9], [10], [12], [8], [8], [9], [12], [8], [8], [10], [7], [11], [8], [12], [9], [12], [8], [10], [7], [9], [11], [], [6, 6], [7], [11], [10], [8], [8], [8], [6, 6], [11], [6, 7], [8]]
[[6, 7], [11], [9], [8], [9], [8], [8], [7], [], [11], [8], [8], [10], [11], [12], [12], [10], [12], [12], [6, 7], [12], [10], [10], [8], [8], [9], [8], [6, 6], [8], [], [8], [], [6, 7], [9], [10], [11], [12], [9]]
[[8], [8], [7], [8], [10], [8], [8], [8], [8], [7], [8], [6], [7], [12], [12], [9], [8], [6, 6], [10], [11], [9], [9], [9], [12], [9], [], [12], [7], [], [10], [11], [12], [10], [12], [11], [6, 6], [10], [11], [8]]
-EndAllocation

Instance: [[1], [348], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[10, 12, 12, 12], [7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12, 12]]
[[12], [7, 10, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [7, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [10, 11, 12, 12, 12, 12, 12]]
[[], [11, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12], [7, 10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [7, 10, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [10, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [7, 12, 12, 12, 12], [5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12], [12, 12, 12, 12], [7, 12, 12], [11, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [7, 11, 12, 12], [12, 12, 12], [12, 12, 12], [10, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12], [12, 12, 12], [7, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [7, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12]]
[[], [12, 12, 12], [7, 12, 12], [5, 5], [12], [12, 12, 12], [10], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [12, 12], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [7, 12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [7, 11, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [5, 5, 5, 5, 12]]
[[], [12, 12], [12], [5, 5, 5, 10], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5], [7, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12], [12, 12], [12, 12], [7, 12], [12, 12], [5, 5, 5, 11], [12, 12], [], [5, 5, 5, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 10], [12, 12], [11], [], [5, 5, 5, 7], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [7, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5], [12, 12], [12, 12], [12, 12], [12], [10, 11]]
[[], [12, 12], [5, 5, 11], [5, 5, 5, 5], [], [12, 12], [], [12], [5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 10], [5, 7, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [11], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [10, 12], [12], [7, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [7, 12], [10, 11], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [12], [12], [5, 12], [10, 11], [12], [7, 12], [12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [10], [12], [11], [12], [7, 12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5], [5, 10], [7], [12], [12], [12], [12], [12], [12], [11], [5, 12], [5, 12]]
[[10], [12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [12], [7], [12], [5, 5, 5], [12], [11], [12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [12], [7], [12], [10], [12], [5, 12], [5, 11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 10], [11], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 7], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 11], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [7], [12], [12], [10], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [11], [5, 5, 5], [12], [7], [5], [12], [10], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [11], [7], [12], [12], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [11], [12], [5, 5], [12], [7], [10], [12], [5, 5], [12], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [], [5, 5], [10], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 7], [12], [12], [5, 5], [5]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [11], [10], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [5], [12], [5, 7], [12], [12], [], [12], [5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [], [], [12], [5, 5], [10], [12], [5, 5], [11], [12], [12], [12], [12], [], [7], [5, 5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[12], [12], [12], [12], [5, 5], [12], [5], [5, 5], [5, 5], [], [12], [], [12], [12], [5, 7], [5, 5], [], [12], [12], [5, 5], [12], [12], [], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [11], [12], [12], [10]]
[[12], [12], [], [5, 5], [12], [5, 5], [], [10], [7], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [11], []]
[[12], [12], [12], [12], [], [], [5, 5], [12], [12], [], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5], [5, 7], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [12], [], [], [12], [12], [], [10], [12], [12]]
[[12], [12], [12], [12], [], [12], [12], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [], [5, 5], [12], [12], [12], [12], [12], [], [], [5, 5], [7], [12], [12], [], [12], [], [5, 5], [5, 5], [11], [12], [10]]
-EndAllocation

Instance: [[1], [347], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [232, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [174, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [11, 11, 12, 12, 12, 12, 12]]
[[], [11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12, 12], [11, 11, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12], [11, 11, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [11, 11, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [12], [12, 12, 12], [], [12, 12, 12], [12, 12, 12], [11, 11, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 11, 11], [12, 12], [], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [11, 11], [], [5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [], [11, 11]]
[[], [12, 12], [11, 11], [5, 5, 5, 5], [], [12, 12], [], [5], [5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [11, 11], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 5, 11], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12]]
[[12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [11], [12], [5, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [12], [11], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5], [12], [12], [5, 12], [12], [11], [12], [12], [12], [11], [5, 12], [5, 12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [5, 12], [12], [11], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [11], [12]]
[[12], [5, 12], [5, 5, 5], [11], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 12], [5, 11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 5, 5], [11], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [11], [], [12], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 11], [5, 5, 5], [], [5, 5, 5], [12], [11], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [11], [5, 5, 5], [12], [12], [], [11], [5, 5, 5], [12], [12], [5, 5], [], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [11], [12], [12], [], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [12], [11], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [12], [5, 5], [5, 5], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [], [5], [5, 5], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [11], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [12]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [11], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [5], [12], [5, 5], [12], [12], [], [11], [5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [], [], [], [], [5, 5], [12], [12], [5, 5], [11], [12], [12], [12], [12], [5], [12], [5, 5], [5, 5], [11], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[12], [12], [12], [], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [5], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [11], [12], [12], [11]]
[[12], [12], [], [5, 5], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [11], [11], []]
[[12], [], [12], [12], [], [], [5, 5], [12], [12], [5], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [12], [], [], [12], [12], [], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [5], [], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [12], [], [12], [], [11], [5, 5], [11], [12], []]
-EndAllocation

Instance: [[1], [346], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [230, 154, 116, 93, 77, 66, 58, 52, 46, 42, 38, 36, 33, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [173, 116, 87, 70, 58, 50, 44, 39, 35, 32, 29, 27, 25, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12]]
[[12], [10, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [10, 11, 12, 12, 12, 12, 12]]
[[], [11, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [10, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [10, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12], [12, 12, 12, 12], [12, 12], [11, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [10, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12], [12, 12, 12], [5, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [], [12, 12, 12], [10], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12], [5, 5, 5, 10], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 11], [12, 12], [], [5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 10], [12, 12], [11], [], [5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [], [10, 11]]
[[], [12, 12], [5, 5, 11], [5, 5, 5, 5], [], [12, 12], [], [5], [5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 10], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [11], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [10, 12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [10, 11], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [12], [12], [5, 12], [10, 11], [12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [10], [12], [11], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5], [5, 10], [12], [12], [12], [12], [12], [12], [12], [11], [12], [5, 12]]
[[10], [12], [12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [11], [12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [10], [12], [5, 12], [5, 11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 10], [11], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 11], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [11], [5, 5, 5], [12], [12], [5, 5], [], [10], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [11], [12], [12], [], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [11], [12], [5, 5], [12], [12], [10], [12], [5, 5], [12], [], [5, 5], [12], [5], [5, 5], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [], [5, 5], [10], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [5]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [11], [10], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [5], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [], [], [], [12], [5, 5], [10], [12], [5, 5], [11], [12], [12], [12], [12], [5], [12], [5, 5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[12], [12], [12], [], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [5], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [11], [12], [12], [10]]
[[12], [12], [], [5, 5], [12], [5, 5], [], [10], [12], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [11], []]
[[12], [], [12], [12], [], [], [5, 5], [12], [12], [5], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [12], [], [], [12], [12], [], [10], [12], [12]]
[[12], [12], [12], [12], [], [12], [5], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [12], [], [12], [], [5, 5], [5, 5], [11], [12], [10]]
-EndAllocation

Instance: [[1], [345], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [230, 153, 116, 92, 77, 66, 58, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [173, 115, 87, 69, 58, 50, 44, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12]]
[[12], [10, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [10, 11, 11, 12, 12, 12, 12]]
[[], [11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [10, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12, 12], [11, 11, 12, 12, 12], [10, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12, 12], [12, 12, 12, 12], [12, 12], [11, 11, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [12, 12, 12], [10, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [10, 12, 12], [12, 12, 12], [5, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 11, 12], [12, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [], [12, 12, 12], [10], [12, 12, 12], [12, 12, 12], [11, 11, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12, 12], [5, 5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [12], [5, 5, 5, 10], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [5, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 11, 11], [12, 12], [], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 10], [12, 12], [11, 11], [], [5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [], [10, 11]]
[[], [12, 12], [11, 11], [5, 5, 5, 5], [], [12, 12], [], [5, 5, 5], [5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12], [5, 5, 10], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [11, 11], [12], [5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 5, 5], [10, 12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [11], [5, 12], [5, 12], [5, 12], [10, 11], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [12], [12], [5, 12], [10], [5, 12], [12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 11], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [5, 11], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [10], [12], [11], [12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [12], [5, 5, 5], [5, 10], [12], [12], [12], [11], [12], [12], [12], [11], [5, 12], [5, 12]]
[[10], [12], [12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [5, 12], [12], [11], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [11], [12]]
[[12], [5, 12], [5, 5, 5], [11], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [10], [12], [5, 12], [5, 11], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 10], [11], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [11], [], [5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 11], [5, 5, 5], [], [5, 5, 5], [12], [11], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [11], [5, 5, 5], [12], [12], [], [11], [5, 5, 5], [12], [12], [5, 5], [], [10], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [11], [12], [12], [], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [10], [11], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [10], [12], [5, 5], [12], [], [5, 5], [12], [5, 5], [5, 5], [12], [12], [5, 5], [5, 5], [12]]
[[12], [12], [], [5, 5], [10], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [11], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [5]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [11], [10], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [5], [12], [5, 5], [12], [12], [], [11], [5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [], [], [], [], [5, 5], [10], [12], [5, 5], [11], [12], [12], [12], [12], [5], [12], [5, 5], [5, 5], [11], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[11], [12], [12], [], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [5], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [11], [12], [12], [10]]
[[12], [12], [], [5, 5], [12], [5, 5], [], [10], [12], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5], [12], [12], [5, 5], [12], [], [5, 5], [11], [11], []]
[[12], [], [12], [12], [], [], [5, 5], [12], [12], [5], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [12], [], [], [12], [12], [], [10], [12], [12]]
[[12], [12], [12], [12], [], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [5], [], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [12], [], [12], [], [11], [5, 5], [11], [12], [10]]
-EndAllocation

Instance: [[1], [344], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [229, 153, 114, 92, 77, 66, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [172, 115, 86, 69, 58, 50, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[10, 10, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 12, 12]]
[[12, 12], [10, 10, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [10, 10, 11, 12, 12, 12, 12]]
[[], [11, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [10, 10, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11]]
[[], [12, 12, 12, 12], [11, 12, 12, 12], [10, 10, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 12, 12], [12, 12, 12, 12], [12, 12], [11, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [10, 10, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [10, 10, 12], [12, 12, 12], [5, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [10, 10, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [], [12, 12], [10, 10], [12, 12, 12], [12, 12, 12], [11, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [10, 10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [10, 10], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [], [5, 10, 10], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12, 12], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [10, 10], [12, 12], [12, 12], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 11], [12, 12], [], [5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 10, 10], [12, 12], [11], [5], [5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [], [10, 10]]
[[], [12, 12], [5, 5, 11], [5, 5, 5, 5], [], [12, 12], [], [5, 5, 5], [5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12], [10, 10], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [11], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [10, 10], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [11], [5, 12], [5, 12], [5, 12], [10, 10], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [10, 10], [5, 12], [12], [12], [12], [5, 12], [11], [12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [10, 10], [12], [11], [12], [12], [12], [5, 12], [12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 12], [5, 12], [5, 12], [10], [5, 12], [5, 12], [5, 5, 5], [5, 10], [12], [12], [12], [12], [12], [12], [12], [11], [12], [5, 12]]
[[10], [12], [12], [5, 5, 5], [5, 5, 5], [5, 12], [12], [12], [5, 12], [12], [10], [5, 12], [5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [11], [12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [10], [12], [5, 12], [5, 11], [12], [12], [10], [5, 5, 5], [12], [12], [12], [12]]
[[12], [5, 10], [11], [12], [5, 12], [12], [12], [12], [10], [5, 5, 5], [12], [12], [], [5, 5], [5, 12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [12], [12], [5, 11], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [10], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [5], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [10], [12], [12], [12], [5, 5, 5], [12], [12], [], [11], [5, 5, 5], [12], [12], [5, 5], [], [10], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [10], [11], [12], [12], [], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [12], [12], [12], [12], [12], [11], [12], [5, 5], [12], [12], [10], [12], [5, 5], [12], [], [5, 5], [12], [5, 5], [5, 5], [12], [12], [5, 5], [10], [12]]
[[12], [12], [], [5, 5], [10], [12], [5, 5], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [10], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [5]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [11], [10], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [12], [5, 5], [5], [10], [5, 5], [12], [12], [], [12], [5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [12], [10], [12], [12], [12], [12], [], [], [], [12], [5, 5], [10], [12], [5, 5], [11], [12], [12], [12], [12], [5], [12], [5, 5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[12], [12], [12], [], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [10], [12], [12], [5], [12], [], [12], [5, 5], [5, 5], [12], [11], [12], [12], [10]]
[[12], [12], [], [5, 5], [12], [5, 5], [], [10], [12], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [10], [12], [12], [12], [12], [5], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [11], []]
[[12], [], [12], [12], [], [], [5, 5], [12], [12], [5], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [11], [12], [], [], [12], [12], [], [10], [12], [10]]
[[12], [12], [12], [12], [], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [5], [], [], [10], [12], [12], [12], [12], [12], [], [12], [5, 5], [], [12], [12], [], [12], [], [5, 5], [5, 5], [11], [12], [10]]
-EndAllocation

Instance: [[1], [343], 39]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,39. UB Alg: [229, 153, 114, 92, 77, 65, 57, 52, 46, 42, 38, 36, 33, 30, 29, 28, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [172, 115, 86, 69, 58, 49, 43, 39, 35, 32, 29, 27, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,39:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [5, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12], [5, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [6, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 6, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [6, 12, 12], [5, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [6, 12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [6, 12], [12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12]]
[[], [12, 12, 12], [6, 12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [5, 6, 12, 12], [12, 12, 12], [], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [5, 5, 5], [12], [12, 12, 12], [], [6, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[12], [5, 5, 5, 5, 5, 6], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [12], [12, 12], [12, 12], [5, 5, 5, 5, 6]]
[[], [12, 12], [], [5, 5, 5, 5, 6], [12, 12], [5, 5, 5, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [6, 12], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [], [5, 5, 12]]
[[], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [5, 5], [6, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5], [12, 12], [12, 12], [12, 12], [6, 12], []]
[[], [12, 12], [5, 5, 5, 6], [5, 5, 5, 5], [], [12, 12], [], [12], [5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12]]
[[12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [5, 5, 12], [12], [12], [5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [6, 12], [12], [5, 5, 12]]
[[12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [6, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [12], [12], [12], [5, 12], [12], [12], [5, 12], [12], [6, 12]]
[[12], [6, 12], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [12], [12], [5, 5, 5, 5], [5, 12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5, 5]]
[[12], [5, 12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [6, 12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 12]]
[[12], [12], [6, 12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 5], [12], [12], [12]]
[[12], [5, 12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 6], [5, 5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [12], [5, 12], [6], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [6], [12], [12], [12], [12], [5, 5, 5], [12], [12]]
[[12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [6], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [12], [12], [], [12], [5, 5, 5], [12], [12], [5, 5], [], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [12], [12], [12], [12], [], [], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [], [5, 5, 6]]
[[12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [5, 6]]
[[12], [12], [], [5], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [6], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [5, 5], [12]]
[[], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [5, 5], [], [12], [6], [5, 5], [5], [12], [5, 5], [12], [12], [], [12], [5, 5], [12], [12]]
[[12], [6], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [], [], [], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5], [12], [5, 5], [5, 5], [], [5, 5], [12], [12], [5, 5], [12], [5, 5]]
[[12], [6], [12], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [5], [12], [12], [12], [12], [], [12], [5, 5], [5, 5], [12], [12], [12], [12], []]
[[12], [12], [], [5, 5], [], [5, 5], [], [5, 5], [12], [12], [12], [], [12], [12], [], [12], [5, 5], [5, 5], [5, 6], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5, 5], [12], []]
[[12], [], [12], [12], [], [], [5, 5], [12], [12], [5], [], [5, 5], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [12], [5, 5], [6], [5, 5], [12], [12], [], [], [12], [12], [], [12], [12], [12]]
[[12], [12], [12], [12], [], [12], [12], [12], [5, 5], [], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [], [5, 5], [12], [12], [12], [12], [12], [], [12], [5, 6], [], [12], [12], [], [12], [], [5, 5], [5, 5], [5, 5], [12], []]
-EndAllocation

Instance: [[1], [360], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [240, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10], [4, 5, 5, 5, 6, 6, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10], [6, 6, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12], [4, 11, 11, 11, 11, 11, 11]]
[[4, 5, 5, 5, 6, 6, 9, 9, 10, 10, 11, 11, 11, 11], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10], [10, 11, 11], [10, 10, 12, 12, 12, 12, 12, 12, 12, 12]]
[[4, 5, 5, 5, 9], [10, 10, 10, 10, 10, 10, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 12, 12, 12, 12, 12, 12], [6, 6, 11, 11, 11, 11, 11, 11]]
[[4, 5, 5, 5, 6, 11, 11, 11, 11, 11], [6, 11, 12, 12], [12, 12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 10, 10, 10, 10, 10, 10], [9]]
[[4, 5, 5, 5, 10, 12, 12, 12], [10, 10, 10, 10, 10], [9, 9, 9], [8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 8, 8], [12, 12, 12, 12, 12], [11, 11, 11, 11, 11, 11]]
[[4, 5, 5, 5, 9, 9, 9, 11], [11, 11, 11, 11, 11], [12, 12, 12], [], [6, 6, 8, 8, 8], [12, 12, 12, 12, 12], [8, 8, 8, 8, 8, 8, 8], [10, 10, 10, 10, 10, 10]]
[[4, 5, 8, 8, 8, 8, 8], [5, 12, 12, 12, 12], [5, 11, 11, 11, 11], [12, 12, 12, 12], [], [8, 8, 8, 8, 8, 9], [9, 9, 11, 11], [10, 10, 10, 10, 10], [6, 6, 10]]
[[6, 6, 8, 8, 8, 9], [5, 8, 9], [10, 10, 10, 10], [], [12, 12, 12, 12], [12, 12, 12, 12], [10, 10, 11, 11], [8, 8, 8], [11, 11, 11, 11], [4, 5, 5, 8, 8, 8, 9]]
[[4, 5, 5, 5, 12, 12], [9, 9, 9], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [10, 10], [11, 11, 11, 11], [], [10, 10, 10, 10], [11, 11, 12], [12, 12, 12], [6, 6, 12, 12]]
[[4, 12, 12, 12], [10, 10, 10, 10], [12, 12, 12], [8, 8, 8, 8, 8], [], [11, 11, 11], [9, 9, 9, 10], [6, 6], [10], [5, 5, 5, 12, 12], [8, 8, 8, 8, 8], [11, 11, 11]]
[[4, 5, 8, 8, 8], [10, 12, 12], [8, 8, 8, 8], [12, 12, 12], [6, 6], [], [9, 9, 9], [12, 12, 12], [11, 11, 11], [5, 5, 8, 8, 10], [8, 10, 10], [10, 10], [11, 11, 11]]
[[8, 8, 8, 8], [], [8, 8, 8, 8], [6, 6, 11, 11], [9, 12, 12], [12, 12], [12, 12], [10, 10, 10], [10, 10, 10], [4, 5, 5, 5, 9], [9, 11, 11], [8], [8, 11, 11], [12, 12]]
[[4, 5, 5, 5, 8], [11, 11], [6, 6], [10, 10, 10], [12, 12], [9, 9, 9], [11, 11], [8, 12, 12], [11, 11], [8, 8, 8, 8], [12, 12], [8, 8, 8, 8], [12, 12], [10, 10, 10], []]
[[4, 5, 8, 8], [10], [12, 12], [9, 9, 9], [12, 12], [8, 8, 11], [12, 12], [6, 6, 11], [8, 8, 8], [5, 5, 10], [12, 12], [8, 8, 10], [8, 11, 11], [10, 11], [10, 11], [10]]
[[5, 8, 8, 8], [], [8, 10, 10], [10, 10], [12, 12], [11, 11], [4, 12, 12], [11, 11], [8, 8, 8], [5, 12, 12], [5, 8, 8, 8], [10, 10], [12, 12], [6, 6], [11, 11], [], [9, 9, 9]]
[[8, 8, 8], [10, 10], [12, 12], [12, 12], [], [12, 12], [10, 10], [8, 10], [8, 8, 8], [8, 8, 8], [5, 5, 5, 10], [4, 9, 11], [11, 11], [9, 9], [12, 12], [6, 6, 11], [11, 11], []]
[[8, 8, 8], [11, 11], [8], [], [], [10, 12], [10, 10], [11, 11], [8, 8, 8], [8, 8, 8], [4, 5, 5, 9], [10, 12], [12, 12], [12, 12], [5, 9], [11, 11], [12, 12], [9, 10], [6, 6, 10]]
[[8, 8, 8], [], [11, 11], [9, 9], [11, 11], [], [9], [10, 10], [8, 8], [4, 10, 10], [12, 12], [5, 5, 5, 8], [12, 12], [6, 8, 8], [12, 12], [11, 11], [6], [8, 8], [12, 12], [10, 10]]
[[5, 8, 8], [9, 9], [8], [10, 10], [12, 12], [], [10, 10], [9, 11], [5, 8], [5, 8, 11], [12, 12], [4, 8, 11], [6, 6, 8], [8], [8, 11], [10, 10], [8], [12, 12], [12, 12], [11, 11], []]
[[4, 5, 5, 5], [10, 10], [8, 8], [], [9, 9], [6, 8, 8], [6, 12], [8, 8], [8, 12], [8, 12], [10, 12], [9, 10], [12], [], [11, 11], [10, 10], [12], [11, 11], [12], [11, 11], [8, 8], [12]]
[[4, 8, 8], [11], [10, 11], [10, 10], [12], [6, 6], [10, 11], [5, 12], [5, 8, 8], [5, 8, 8], [8, 8], [8, 11], [8, 10], [9, 12], [12], [12], [], [10, 11], [12], [9, 9], [12], [12], [11]]
[[4, 8, 8], [12], [9], [8, 8], [10, 10], [12], [12], [10, 10], [8, 8], [8, 8], [8, 8], [6, 12], [11], [5, 11], [5, 12], [11], [5, 12], [12], [11], [9, 9], [12], [6, 11], [10, 10], [11]]
[[5, 5, 8], [12], [12], [9], [6, 11], [12], [11], [11], [8, 8], [4, 8, 8], [10, 10], [8, 11], [8, 8], [5, 11], [10, 10], [12], [], [12], [8, 8], [11], [12], [10, 10], [6, 12], [9, 9], [12]]
[[11], [8, 8], [6, 10], [4, 6, 8], [8, 10], [8, 8], [5, 12], [12], [5, 11], [12], [11], [12], [12], [12], [8, 10], [8, 10], [9, 9], [12], [8, 10], [], [12], [11], [11], [8, 10], [5, 9], [11]]
[[8, 8], [8, 8], [4, 11], [5, 12], [5, 9], [11], [5, 11], [10], [12], [10], [6, 11], [12], [10], [10], [12], [8, 8], [8, 8], [11], [6, 12], [11], [10], [12], [9, 9], [12], [12], [10], [8, 8]]
[[8, 8], [8, 8], [8, 8], [4, 12], [5, 12], [5, 12], [8, 9], [5, 12], [6, 9], [6, 11], [12], [10], [12], [11], [12], [10], [11], [11], [10], [12], [9], [11], [10], [8, 8], [10], [10], [11], [8]]
[[4, 10], [8, 8], [5, 12], [5, 10], [5, 9], [8, 8], [11], [11], [11], [11], [12], [12], [8, 9], [12], [12], [12], [8], [8, 9], [6, 6], [10], [12], [10], [12], [8], [10], [11], [10], [11], [8, 8]]
[[5, 5, 5], [8, 8], [11], [8, 8], [4, 11], [12], [11], [12], [12], [10], [11], [10], [12], [12], [9], [10], [11], [6, 6], [11], [12], [8, 8], [9], [9], [10], [10], [12], [12], [10], [8, 8], [8, 8]]
[[8, 8], [5, 10], [8, 8], [5, 9], [12], [5, 9], [12], [12], [6, 10], [10], [8, 8], [10], [12], [12], [11], [12], [12], [10], [11], [12], [8], [11], [11], [6, 8], [8], [8], [], [9], [4, 11], [10], [11]]
[[10], [5, 5, 5], [8, 8], [9], [12], [8, 8], [11], [6, 6], [11], [], [], [12], [10], [10], [12], [10], [10], [11], [11], [8, 8], [11], [11], [8, 8], [12], [4, 12], [12], [9], [10], [12], [9], [12], [8, 8]]
[[12], [11], [5, 8], [10], [12], [9], [12], [12], [10], [12], [6, 8], [9], [5, 9], [11], [10], [11], [6, 8], [11], [10], [10], [8], [11], [8], [10], [4, 8], [12], [8], [12], [8], [11], [8], [12], [5, 8]]
[[12], [12], [5, 9], [5, 8], [12], [6, 8], [10], [10], [6, 8], [10], [8], [8], [10], [12], [8], [12], [12], [11], [12], [11], [11], [11], [11], [], [11], [8], [8], [4, 8], [10], [8], [12], [10], [9], [5, 9]]
[[10], [5, 8], [5, 8], [8], [8], [8], [10], [12], [6, 6], [9], [11], [10], [11], [11], [10], [8], [8], [12], [11], [12], [10], [11], [4, 9], [12], [8], [8], [12], [10], [9], [], [12], [12], [12], [11], [5, 8]]
[[11], [5, 8], [5, 8], [5, 8], [8], [8], [11], [9], [6, 6], [11], [8], [12], [8], [10], [9], [11], [8], [10], [8], [], [9], [12], [10], [12], [10], [10], [12], [11], [12], [10], [12], [11], [4, 8], [12], [], [12]]
[[4, 8], [10], [5, 5], [5, 8], [8], [8], [8], [11], [12], [10], [10], [6], [8], [9], [11], [10], [12], [11], [12], [10], [12], [12], [12], [12], [11], [9], [10], [12], [8], [], [6], [11], [11], [8], [9], [8], [8]]
[[5, 8], [10], [8], [8], [8], [8], [11], [9], [10], [8], [11], [9], [8], [8], [10], [12], [10], [11], [10], [11], [], [11], [6, 6], [12], [12], [11], [10], [12], [12], [9], [], [4], [12], [8], [12], [8], [12], [5, 5]]
[[5, 8], [8], [12], [9], [8], [8], [8], [8], [10], [10], [11], [9], [10], [12], [11], [9], [], [4, 8], [11], [12], [12], [6, 6], [11], [10], [10], [11], [], [12], [], [12], [], [], [12], [12], [8], [11], [10], [5, 8], [5, 8]]
[[4, 8], [8], [5], [8], [8], [8], [8], [8], [10], [12], [10], [9], [], [8], [], [11], [10], [10], [11], [11], [12], [11], [12], [6, 6], [9], [8], [12], [], [11], [11], [8], [], [12], [12], [12], [12], [9], [10], [10], [5, 5]]
-EndAllocation

Instance: [[1], [359], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [240, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 11, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 11, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [11, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [11, 11, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 12], [12, 12, 12, 12]]
[[], [11, 11, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12]]
[[], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 12, 12, 12], [11, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12, 12], [11, 11], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12]]
[[], [], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [11, 11, 12]]
[[12, 12], [12, 12], [12, 12], [11, 11, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]]
[[], [5, 12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [11, 11], [5, 5, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5, 5], [12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5], [11, 11], [5, 5, 5, 5, 5], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12]]
[[], [5, 5, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [11, 11], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [], [11, 11], [12, 12], [12, 12], [12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5], []]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [11, 11], [12, 12], [5, 5, 5, 5], [12], [5, 5, 5, 5], [], [12, 12], [], [5, 5, 5, 5], [12, 12], [12, 12], [5], [12, 12], [12, 12]]
[[], [12, 12], [], [5, 5, 5, 5], [12, 12], [], [12, 12], [], [5, 5, 5, 5], [11, 11], [5, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5]]
[[12], [12], [5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [11, 11], [12], [5, 5, 12]]
[[12], [5, 5, 11], [5, 12], [5, 12], [12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 5, 11], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12]]
[[12], [5, 12], [5, 12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 12], [5, 11], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12]]
[[12], [5, 11], [12], [12], [11], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [5, 5, 5, 5], [5, 5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12]]
[[12], [12], [5, 12], [12], [5, 12], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 11], [5, 5, 5], [12], [5, 12], [12], [12], [11], [12], [5, 5, 5], [12]]
[[12], [12], [12], [12], [12], [5, 12], [11], [12], [12], [5, 12], [5, 12], [12], [5, 5, 5], [5, 11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [5, 12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [12], [5, 11], [12], [12], [12], [11]]
[[12], [12], [12], [12], [12], [12], [11], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [12], [11], [5, 12], [12], [5, 5, 5], [12], [12], [12], [12], [5, 12], [12], [5, 5, 5], [12], [], [5, 5, 5]]
[[], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [11], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [11]]
[[12], [5, 5, 5], [12], [12], [12], [11], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [], [12], [12], [5, 5, 5], [12], [5, 5, 5], [11], [5, 5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [], [12]]
[[12], [12], [12], [5, 5], [12], [], [12], [], [], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [12], [11], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [11], [12], [12]]
[[12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [5, 5], [12], [], [11], [12], [12], [5, 5], [5], [12], [12], [12], [12], [11], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5]]
[[], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5], [11], [12], [12], [], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [5, 5], [12], [12], [12], [5], [12], [11], [12]]
[[12], [12], [12], [], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [], [12], [12], [11], [12], [12], [12], [12], [5, 5], [11], [12], [12], [5, 5], [12], [], [12], [12], [5, 5], [5, 5], [12], [5, 5], [5], [5, 5]]
[[12], [12], [12], [11], [12], [12], [12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [5, 5], [5], [], [12], [5, 5], [5, 5], [], [11], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [5, 5], [12]]
[[12], [12], [], [], [12], [12], [12], [12], [5, 5], [5, 5], [11], [], [12], [12], [12], [5], [12], [12], [5, 5], [12], [5, 5], [], [5, 5], [5, 5], [11], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [12], [12], []]
[[12], [5, 5], [11], [12], [12], [12], [12], [5, 5], [12], [], [5, 5], [5], [12], [12], [12], [], [12], [12], [12], [12], [12], [5, 5], [12], [12], [12], [5, 5], [12], [5, 5], [], [12], [5, 5], [12], [], [11], [12], [5, 5], [], []]
[[12], [12], [], [12], [], [12], [5, 5], [5, 5], [], [5, 5], [12], [12], [11], [5, 5], [5, 5], [12], [12], [11], [12], [12], [12], [12], [5, 5], [], [12], [12], [5, 5], [12], [12], [], [], [], [5], [12], [5, 5], [12], [12], [12], [12]]
[[], [12], [12], [], [12], [5, 5], [5, 5], [5, 5], [12], [5, 5], [12], [12], [12], [11], [], [12], [], [12], [12], [12], [12], [5, 5], [5], [12], [5, 5], [], [5, 5], [12], [12], [], [11], [12], [12], [12], [], [], [5, 5], [12], [12], [12]]
-EndAllocation

Instance: [[1], [358], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [238, 160, 120, 96, 80, 69, 60, 53, 48, 44, 40, 37, 34, 32, 30, 29, 26, 25, 24, 24, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [179, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 23, 22, 20, 19, 18, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 12, 12]]
[[12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12]]
[[], [5, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 11, 12, 12, 12], [5, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 10], [5, 12, 12, 12, 12, 12, 12]]
[[], [10, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12], [11, 12, 12, 12]]
[[], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 10], [11, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [10, 12], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 12]]
[[], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [], [12, 12, 12, 12], [10, 12, 12]]
[[], [10, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [5, 12, 12, 12], [11, 12, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5], [12, 12, 12], [12, 12, 12], [10, 11, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [12, 12, 12], [10], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5], [11, 12, 12], [12, 12, 12], [5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [], [12, 12, 12]]
[[12], [12, 12], [11, 12], [12, 12], [10, 12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 12, 12], [12, 12], [5, 5, 5, 12]]
[[12], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11, 12], [12, 12], [10, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5, 5], [10, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [11], [12, 12], [12, 12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [], [5, 5, 5, 11], [5, 5, 5, 5, 5], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [10, 12], [12, 12], [12, 12]]
[[], [5, 5], [12, 12], [10, 12], [12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [], [12, 12], [12, 12], [12, 12], [11, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12]]
[[], [5, 5, 11], [], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [10, 12], [12, 12]]
[[], [12, 12], [], [12, 12], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [], [10, 12], [5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 11], [12, 12], []]
[[], [], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [5, 5, 5, 5], [5], [12, 12], [12, 12], [12, 12], [10, 12], [], [11], [12, 12], [5, 5, 5, 5], [], [12, 12]]
[[12], [5, 5, 12], [5, 12], [5, 5, 12], [5, 5, 12], [10, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [12], [5, 5, 12], [12], [12], [12], [12], [5, 5, 12], [12], [12], [11], [12]]
[[12], [5, 5, 11], [12], [5, 12], [5, 12], [5, 5, 10], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [12], [12]]
[[12], [12], [5, 12], [12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 11], [5, 12], [5, 12], [12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [10], [12]]
[[12], [12], [12], [5, 12], [12], [5, 12], [12], [12], [12], [10], [12], [12], [5, 12], [5, 12], [5, 11], [5, 12], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [12], [12], [5, 12], [5, 5, 5, 5]]
[[12], [5, 12], [12], [5, 5, 5], [5, 5, 5], [5, 10], [12], [5, 12], [12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [12], [11], [12], [12]]
[[12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [11], [12], [12], [12], [12], [5, 12], [10], [5, 5, 5], [5, 5, 5], [12], [5, 12], [5, 12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [11], [5, 5, 5], [12], [12], [10], [12]]
[[12], [12], [12], [], [5, 12], [5, 12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 10], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [], [12], [5, 5, 5], [12], [5, 12], [12], [11], [5, 12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [5, 11], [12], [12], [5, 5, 5], [12], [12], [12], [5], [], [5, 5, 5], [12], [5, 5, 5], [10], [12], [12], [5, 5, 5], [12], [12]]
[[10], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [12], [12], [5, 5, 5], [5, 5], [11], [5, 5, 5], [12], [12], [12], [12], [], [12], [12]]
[[12], [12], [], [10], [12], [12], [], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5, 5]]
[[], [5, 5], [5, 5], [12], [5, 5], [5, 5], [5, 5], [12], [12], [10], [12], [12], [12], [12], [5, 5], [12], [12], [11], [5], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [12], [12], [10], [5, 5], [5, 5], [5, 5], [5, 5], [5], [5, 5], [12], [12], [12], [12], [12], [12], [], [5, 5], [5, 5], [12], [11], [12]]
[[12], [5, 5], [5], [5, 5], [5, 5], [5, 5], [12], [11], [5, 5], [12], [12], [10], [12], [], [12], [12], [12], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [12], [12], [], [5, 5]]
[[12], [5, 5], [12], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [], [12], [12], [5], [12], [], [12], [], [12], [5, 5], [5, 5], [12], [12], [12], [12], [12], [10], [12], [5, 5], [11], [5, 5], [5, 5], [12], [12]]
[[], [5, 5], [5, 5], [], [12], [12], [12], [12], [5], [12], [12], [12], [10], [5, 5], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [5, 5], [], [12], [5, 5], [12], [12], [12], [12], [12], [12], [5, 5], [], [12], [12], [11]]
[[12], [], [12], [5, 5], [5, 5], [12], [12], [5], [], [12], [12], [5, 5], [12], [], [12], [12], [12], [5, 5], [11], [12], [], [5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [10], [5, 5], [12], [], [12], [], [5, 5], [5, 5]]
[[], [5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [11], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [], [12], [10], [12], [5, 5], [5, 5], [12], [5, 5], [12], [5, 5], [12], [], [], [5, 5], [], [12], [], [], [12]]
[[], [], [12], [5, 5], [11], [12], [12], [12], [5, 5], [12], [12], [12], [10], [12], [12], [12], [12], [5], [], [12], [12], [5, 5], [5, 5], [5, 5], [], [5, 5], [12], [12], [12], [12], [], [5, 5], [12], [12], [12], [], [], [], [5, 5], [12]]
-EndAllocation

Instance: [[1], [357], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [238, 158, 120, 96, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [179, 119, 90, 72, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12]]
[[], [12, 12, 12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12, 12, 12], [10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 10, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12], [10, 11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [], [10, 12, 12, 12, 12]]
[[], [10, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 11, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], []]
[[], [5, 12, 12, 12], [11, 11, 12], [10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 11, 11], [5, 5, 5, 5, 5, 5, 10], [], [12, 12, 12]]
[[], [12, 12, 12], [10, 12, 12], [], [12, 12, 12], [5, 5, 5, 11, 11], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [5, 5, 12, 12], [12, 12], [12, 12], [5, 5, 11, 11], [12, 12], [5, 12, 12], [5, 5, 5, 5, 10], [5, 5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 11, 11], [12], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 10], [12, 12], [5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12]]
[[], [11, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12], [], [12, 12], [], [12, 12], [10, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5], [5], [12, 12], [5, 5, 5, 5], [12, 12], [], [10, 12], []]
[[12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 12], [11, 11], [10, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [12], [12], [10, 12], [12], [12], [12], [5, 5, 12], [11, 11], [12]]
[[11], [12], [5, 5, 10], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [5, 12], [5, 12]]
[[11], [5, 12], [5, 5, 5, 5], [12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [10], [12], [5, 12], [5, 12], [5, 12], [12]]
[[12], [12], [12], [10], [5, 5, 5, 5], [12], [5, 12], [12], [5, 11], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [12], [12], [12], [11], [12], [5, 12], [5, 12]]
[[12], [5, 10], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [12]]
[[12], [11], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [11], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [10], [12], [12], [12], [5, 12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [10], [12], [12], [12], [11], [12], [12], [11], [12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 10], [12], [5, 5, 5], [12], [12], [12], [12], [12], [], [11], [12], [11], [12], [12], [5, 12], [5, 5, 5]]
[[11], [12], [5], [11], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [12], [5, 10], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [], [12], [5, 5, 5], [12], [12], [12], [12], [10], [12], [12], [12], [12], [11], [12], [11], [12], [12], [12], [], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [12], [12], [11], [11], [12], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [12], [], [5, 5], [12]]
[[12], [12], [12], [5], [10], [11], [12], [], [5, 5], [12], [12], [11], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [5, 5], [11], [12], [11], [5, 5], [12], [12], [12], [10], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [], [12], [5, 5]]
[[12], [5, 5], [12], [12], [12], [], [5, 5], [5], [12], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [11], [12], [12], [5, 5], [12], [11], [12], [12], [], [12], [10], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [10], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [5, 5], [5], [5, 5], [12], [], [], [5, 5], [12], []]
[[10], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [12], [5], [12], [11], [12], [12], [12], [12], [], [5, 5], [11], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [], [12], [12], [12]]
[[11], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [12], [11], [12], [], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [5], [12], [12], [10], [12], [], [], [5, 5], [12]]
[[], [12], [5, 5], [5], [5, 5], [], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [12], [12], [11], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [11], [12], [10], [12], [12], [], [12]]
[[12], [], [], [5, 5], [12], [12], [11], [12], [5], [12], [12], [], [5, 5], [5, 5], [12], [12], [], [5, 5], [10], [12], [12], [5, 5], [12], [], [12], [11], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [], []]
-EndAllocation

Instance: [[1], [356], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [237, 158, 118, 96, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [178, 119, 89, 72, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 12], [5, 5, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11]]
[[], [12, 12, 12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12, 12, 12], [9, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 9, 12, 12]]
[[], [12, 12, 12, 12, 12], [9, 12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 9, 11, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 12], [5, 5, 5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [11, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [9]]
[[], [5, 12, 12, 12], [9, 11, 11, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 11, 11], [5, 5, 5, 5, 5, 5, 9], [], [12, 12, 12]]
[[], [12, 12, 12], [5, 5, 12, 12], [], [12, 12, 12], [5, 9, 11, 11], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [5, 5, 12, 12], [12, 12], [9, 12, 12], [5, 5, 11, 11], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 11, 11], [9], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [9, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 9], [12, 12], [5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [9, 12]]
[[], [11, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12], [], [12], [9], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12], [11, 11], [9, 12], [12, 12], [5, 5, 5, 5], [5], [12, 12], [5, 5, 5, 5], [12, 12], [], [12, 12], []]
[[12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [9, 12], [5, 5, 12], [5, 12], [11, 11], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 5, 5], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [12], [12], [5, 12], [12], [12], [12], [9, 12], [11, 11], [12]]
[[11], [12], [9, 12], [5, 12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12]]
[[11], [5, 12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [12], [5, 5, 9], [5, 12], [5, 12]]
[[12], [12], [12], [12], [5, 5, 5, 5], [12], [5, 12], [12], [5, 11], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [9], [12], [12], [12], [12], [11], [12], [5, 12], [5, 12]]
[[12], [5, 12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [11], [9], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [12]]
[[12], [11], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [11], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [9], [12], [12], [12], [5, 12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [11], [12], [12], [11], [12], [12], [12], [5, 9], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [12]]
[[12], [12], [9], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [12], [5, 5]]
[[11], [12], [12], [11], [12], [12], [12], [12], [12], [12], [9], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [], [12], [5, 5, 5], [9], [12], [12], [12], [12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [12], [], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [12], [12], [11], [11], [9], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [], [5, 5], [12]]
[[12], [12], [12], [5], [12], [11], [12], [], [5, 5], [12], [12], [11], [12], [12], [5, 5], [9], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [5, 5], [11], [12], [11], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [9], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [], [12], [5, 5]]
[[12], [5, 5], [12], [12], [12], [], [5, 5], [5, 5], [12], [12], [12], [12], [12], [12], [5, 9], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [11], [12], [12], [5, 5], [12], [11], [12], [12], [], [12], [], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [], [12], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [9], [5, 5], [5, 5], [12], [], [5], [5, 5], [12], []]
[[12], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [5], [5, 5], [12], [11], [12], [12], [12], [12], [], [5, 5], [11], [12], [5, 5], [5, 5], [12], [5, 5], [9], [], [12], [12], [12]]
[[11], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [9], [5, 5], [12], [11], [12], [], [5, 5], [12], [12], [5, 5], [12], [12], [5, 5], [], [5], [12], [12], [12], [], [], [12], [12], [5, 5], [12], [], [], [5, 5], [12]]
[[], [12], [5, 5], [5], [5, 5], [], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [12], [12], [11], [], [12], [12], [9], [5, 5], [12], [12], [12], [12], [12], [11], [12], [], [12], [12], [12], [12]]
[[12], [11], [], [5, 5], [12], [12], [9], [12], [5], [12], [12], [], [5, 5], [5, 5], [12], [12], [], [5, 5], [], [12], [12], [5, 5], [12], [], [12], [11], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [], []]
-EndAllocation

Instance: [[1], [355], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [237, 158, 118, 94, 80, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [178, 119, 89, 71, 60, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12], [10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [9, 10, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12], [11, 12, 12, 12, 12, 12, 12], [9, 10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 9, 10, 12, 12]]
[[], [12, 12, 12, 12, 12], [9, 12, 12, 12], [10, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 9, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [], [10, 12, 12, 12, 12]]
[[], [10, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [9, 12], [5, 5, 5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [9]]
[[], [5, 12, 12, 12], [9, 11, 12, 12], [10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 9, 10], [], [12, 12, 12]]
[[], [12, 12, 12], [10, 12, 12], [], [12, 12, 12], [5, 5, 5, 9, 11], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [5, 5, 12, 12], [12, 12], [9, 12, 12], [5, 5, 5, 5, 11], [12, 12], [12, 12], [5, 5, 5, 5, 10], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 5, 5, 11], [9], [12, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 12], [5, 5, 10, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [10, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [9, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 12], [5, 5, 5, 5, 5], [5, 9, 10], [12, 12], [5, 5, 5, 5, 5], [11, 12], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5, 5], [11, 12], [12, 12], [5, 5, 5, 5, 5], [10, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [9, 12]]
[[], [5, 5, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [], [12], [9], [12, 12], [10, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12, 12], [11], [9, 12], [12, 12], [5, 5, 5, 5], [5], [12, 12], [5, 5, 5, 5], [12, 12], [], [10, 12], []]
[[12], [12], [12], [5, 5, 12], [5, 12], [12], [5, 5, 12], [9, 12], [5, 5, 12], [5, 5, 12], [11], [10, 12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 5, 5], [5, 5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [5, 12], [12], [10, 12], [12], [12], [12], [9, 12], [11], [12]]
[[11], [12], [9, 10], [5, 12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [5, 12], [12], [5, 12]]
[[12], [5, 12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [11], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [12], [9, 10], [5, 12], [5, 12]]
[[12], [12], [12], [10], [5, 5, 5, 5], [12], [5, 12], [12], [5, 12], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 12], [5, 12], [9], [12], [12], [12], [12], [11], [12], [5, 12], [5, 12]]
[[12], [5, 10], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [12], [9], [5, 12], [5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [12]]
[[12], [12], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [10], [12], [11], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [9], [12], [12], [12], [5, 12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [10], [12], [12], [12], [12], [12], [12], [11], [12], [12], [12], [5, 9], [12], [12], [5, 5, 5], [5, 12], [12], [12], [12], [12]]
[[12], [12], [9], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 10], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [], [12], [11], [12], [12], [5, 12], [5, 5, 5]]
[[11], [12], [5], [12], [12], [12], [12], [12], [12], [12], [9], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [12], [5, 10], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [], [12], [5, 5, 5], [9], [12], [12], [12], [10], [12], [12], [12], [12], [12], [12], [11], [12], [12], [12], [], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [12], [12], [11], [], [9], [12], [12], [12], [12], [5, 5, 5], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [12], [], [5, 5], [12]]
[[12], [12], [12], [12], [10], [11], [12], [], [5, 5], [12], [12], [5], [12], [12], [5, 5], [9], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [5, 5], [12], [12], [11], [5, 5], [12], [12], [12], [10], [12], [5, 5], [12], [12], [5, 5], [9], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [], [12], [5, 5]]
[[12], [5, 5], [12], [12], [12], [], [5, 5], [], [12], [12], [12], [12], [12], [12], [5, 9], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [5, 5], [12], [12], [5, 5], [12], [11], [12], [12], [], [12], [10], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [], [10], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [9], [5, 5], [5, 5], [12], [], [5], [5, 5], [12], []]
[[10], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [5], [5, 5], [12], [11], [12], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [5, 5], [12], [5, 5], [9], [], [12], [12], [12]]
[[11], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [9], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [5], [12], [12], [10], [12], [], [], [5, 5], [12]]
[[], [12], [5, 5], [12], [5, 5], [], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5], [], [12], [5, 5], [], [12], [12], [11], [], [12], [12], [9], [5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [10], [12], [12], [], [12]]
[[12], [], [], [5, 5], [12], [12], [9], [12], [5], [12], [12], [], [5, 5], [5, 5], [12], [12], [], [5, 5], [10], [12], [12], [5, 5], [12], [], [12], [11], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [], []]
-EndAllocation

Instance: [[1], [354], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [236, 157, 118, 94, 78, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [177, 118, 89, 71, 59, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12]]
[[12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 11]]
[[], [12, 12, 12, 12, 12, 12, 12], [11, 11, 11, 12, 12, 12, 12, 12], [10, 10, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 10, 10]]
[[], [12, 12, 12, 12, 12], [12, 12, 12], [10, 10, 11, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [12, 12, 12, 12, 12], [], [10, 10, 12, 12, 12]]
[[], [10, 10, 12, 12], [12, 12, 12, 12], [11, 11, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [10, 11, 11, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12, 12, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [10]]
[[], [5, 12, 12, 12], [11, 11, 11], [10, 10, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 11, 11, 11], [5, 5, 5, 5, 10, 10], [], [12, 12, 12]]
[[], [12, 12, 12], [5, 5, 5, 10, 10], [], [12, 12, 12], [11, 11, 11], [], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [5, 5, 12, 12], [12, 12], [12, 12], [11, 11, 11], [12, 12], [5, 5, 5, 5, 5], [5, 5, 10, 10], [5, 5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 11, 11], [], [11, 12], [12, 12], [5, 12, 12], [12, 12], [12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [10, 10, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [10, 10], [12, 12], [5, 5, 5, 5, 5, 5], [11, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [11, 11], [12]]
[[], [12, 12], [12, 12], [12, 12], [11, 12], [12, 12], [5, 12], [5, 5, 5, 5, 5], [5, 10, 10], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [12, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5, 5], [11, 11], [12, 12], [5, 5, 5, 5, 5], [10, 10], [12, 12], [11, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12]]
[[], [11, 11], [12, 12], [12, 12], [11, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12], [], [12, 12], [], [12, 12], [10, 10], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5], [5], [12, 12], [5, 5, 5, 5], [12, 12], [], [10, 10], []]
[[12], [12], [12], [5, 5, 12], [5, 12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [11], [10, 10], [11, 11], [5, 5, 12], [12], [5, 5, 12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [5, 5, 12], [5, 5, 12], [12], [5, 5, 5, 5], [5, 12], [5, 5, 5, 5], [12], [5, 5, 12], [10, 12], [12], [12], [12], [12], [12], [10, 12], [12], [12], [12], [5, 5, 12], [11, 11], [11]]
[[11], [12], [10, 10], [5, 5, 11], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [5, 12], [5, 12]]
[[11], [5, 12], [5, 5, 5, 5], [12], [11], [12], [5, 12], [12], [5, 12], [11], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [12], [12], [5, 12], [10, 10], [12], [12], [5, 12], [5, 12], [12]]
[[12], [12], [12], [10, 10], [5, 5, 5, 5], [12], [12], [12], [5, 11], [5, 5, 5, 5], [5, 12], [12], [5, 12], [5, 12], [5, 5, 5, 5], [12], [12], [12], [12], [11], [12], [11], [12], [5, 12], [12]]
[[12], [5, 10], [5, 12], [5, 5, 5], [5, 11], [12], [12], [12], [11], [5, 5, 5], [12], [12], [12], [5, 12], [5, 12], [11], [12], [5, 12], [5, 5, 5], [10], [12], [12], [5, 12], [12], [5, 12], [12]]
[[12], [11], [12], [5, 12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 12], [5, 5, 5], [12], [10], [11], [11], [12], [5, 12], [12], [5, 12], [5, 5, 5], [12], [10], [12], [12], [12], [5, 12], [12], [12]]
[[11], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [10], [12], [12], [12], [11], [12], [12], [11], [12], [12], [12], [5, 5, 5], [12], [12], [5, 12], [5, 12], [12], [12], [12], [10]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [11], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 10], [10], [5, 5, 5], [12], [12], [12], [12], [12], [], [11], [12], [11], [12], [12], [5, 12], [5, 5, 5]]
[[11], [12], [5], [11], [12], [12], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [11], [12], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [12], [5, 10], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [], [10], [5, 5, 5], [12], [12], [12], [12], [10], [12], [12], [12], [12], [11], [12], [11], [12], [11], [12], [], [5, 5, 5], [12], [12], [12]]
[[12], [12], [12], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [12], [12], [11], [11], [12], [11], [], [10], [12], [5, 5, 5], [12], [12], [12], [12], [10], [12], [12], [5, 5, 5], [12], [], [5, 5], [12]]
[[12], [12], [12], [5, 5], [10], [11], [12], [], [5, 5], [12], [12], [11], [12], [12], [5, 5], [5], [5, 5], [12], [12], [12], [12], [5, 5], [12], [10], [11], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [5, 5], [12], [12], [], [5, 5], [11], [12], [11], [5, 5], [12], [12], [5], [10], [12], [5, 5], [12], [12], [5, 5], [12], [10], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [11], [], [12], [5, 5]]
[[12], [5, 5], [12], [12], [], [], [5, 5], [5], [12], [11], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [11], [12], [12], [5, 5], [12], [11], [12], [12], [10], [12], [10], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [10], [12], [5, 5], [12], [12], [5, 5], [11], [12], [10], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [5, 5], [5], [5, 5], [12], [], [], [5, 5], [11], []]
[[10], [12], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [5], [5, 5], [12], [11], [12], [10], [12], [12], [], [5, 5], [11], [12], [5, 5], [5, 5], [12], [11], [5, 5], [], [12], [12], [12]]
[[11], [12], [12], [12], [12], [5, 5], [12], [11], [5, 5], [12], [12], [10], [12], [11], [12], [], [5, 5], [5], [12], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [5, 5], [12], [12], [10], [12], [], [], [5, 5], [12]]
[[], [12], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [5], [12], [12], [5, 5], [12], [12], [10], [], [12], [5, 5], [], [12], [12], [11], [], [12], [12], [12], [5, 5], [12], [12], [12], [11], [12], [11], [12], [10], [12], [12], [], []]
[[12], [11], [], [5, 5], [12], [10], [11], [12], [5], [12], [12], [], [5, 5], [5, 5], [12], [12], [], [5, 5], [10], [12], [12], [5, 5], [12], [], [12], [11], [], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [], [], []]
-EndAllocation

Instance: [[1], [353], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [236, 157, 118, 94, 78, 68, 60, 53, 48, 44, 40, 37, 34, 32, 30, 28, 26, 25, 24, 22, 22, 21, 20, 20, 18, 18, 17, 17, 16, 16, 16, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [177, 118, 89, 71, 59, 51, 45, 40, 36, 33, 30, 28, 26, 24, 23, 21, 20, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 12], [6, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]]
[[5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 11, 12, 12, 12, 12, 12, 12, 12]]
[[12, 12], [12, 12, 12, 12, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11]]
[[], [6, 12, 12, 12, 12, 12, 12, 12], [11, 11, 12, 12, 12, 12, 12, 12], [12, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12, 12, 12, 12], [6, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11], [12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 12, 12]]
[[], [12, 12, 12, 12, 12], [12, 12, 12], [11, 11, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 12, 12, 12, 12, 12], [5, 5, 5, 5, 12, 12, 12, 12]]
[[], [12, 12, 12, 12, 12], [5, 5, 5, 5, 5, 11, 11, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12, 12], [6, 12, 12, 12, 12], [], [12, 12, 12, 12, 12]]
[[], [12, 12, 12, 12], [12, 12, 12, 12], [11, 12, 12, 12], [12, 12, 12, 12], [12, 12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5, 6, 11], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [11, 11], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [6, 12, 12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12, 12], [12]]
[[], [5, 12, 12, 12], [6, 11, 11, 12], [12, 12, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [12], [5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12, 12, 12], [12, 12], [12, 12, 12], [5, 5, 6, 12, 12], [5, 5, 5, 5, 12], [12, 12, 12], [12, 12, 12], [5, 5, 5, 11, 11], [5, 5, 5, 5, 5, 5, 5, 5], [], [12, 12, 12]]
[[], [12, 12, 12], [12, 12], [], [12, 12, 12], [5, 5, 5, 11, 11], [6], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12], [12, 12, 12], [5, 5, 5, 5, 5, 5, 5], [12, 12, 12]]
[[], [6, 12, 12], [12, 12], [12, 12], [5, 5, 11, 11], [12, 12], [5, 12, 12], [5, 5, 5, 5, 5, 5], [5, 5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12]]
[[], [5, 5, 11, 11], [], [12, 12], [12, 12], [5, 12, 12], [12, 12], [6, 12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [5, 12, 12], [5, 12, 12], [12, 12], [5, 5, 5, 5, 5, 5]]
[[], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5, 5], [6, 12, 12], [12, 12], [12, 12], [11, 11], []]
[[], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5], [12, 12], [5, 5, 12], [11, 11], [12, 12], [6, 12], [], [12, 12], [5, 5, 5, 5, 5]]
[[], [12, 12], [5, 5, 5, 5, 5], [], [], [12, 12], [5, 5, 5, 5, 5], [6, 11], [12, 12], [5, 5, 5, 5, 5], [12, 12], [12, 12], [11, 12], [12, 12], [12, 12], [12, 12], [5, 5, 12], [12, 12]]
[[], [11, 11], [12, 12], [12, 12], [12, 12], [5, 5, 5, 5, 5], [], [12, 12], [12, 12], [12, 12], [5, 5, 6], [12, 12], [], [12, 12], [], [12, 12], [12, 12], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 6, 12], [12, 12], [5, 5, 5, 5], [5, 5, 5, 5], [12, 12], [12, 12], [12, 12], [12], [11, 11], [12, 12], [12, 12], [5, 5, 5, 5], [], [12, 12], [5, 5, 5, 5], [12, 12], [], [12, 12], []]
[[12], [12], [12], [5, 5, 12], [12], [12], [5, 5, 12], [5, 5, 12], [5, 5, 12], [5, 12], [11, 11], [5, 5, 12], [5, 5, 12], [5, 5, 12], [12], [6, 12], [12], [5, 5, 12], [12], [12], [12]]
[[12], [5, 5, 12], [5, 5, 12], [6, 12], [5, 5, 5, 5], [5, 12], [5, 5, 12], [12], [5, 5, 12], [5, 5, 12], [12], [12], [12], [12], [12], [12], [12], [12], [12], [5, 5, 12], [11, 11], [12]]
[[11], [12], [5, 12], [5, 12], [12], [12], [5, 5, 5, 5], [5, 12], [5, 12], [5, 12], [5, 12], [5, 12], [11], [5, 12], [5, 12], [5, 12], [5, 12], [12], [12], [6, 12], [5, 12], [12], [5, 12]]
[[11], [5, 12], [5, 5, 5, 5], [12], [12], [12], [5, 12], [12], [5, 12], [11], [5, 5, 5, 5], [5, 12], [6, 12], [5, 12], [5, 12], [12], [12], [5, 12], [12], [12], [12], [5, 12], [12], [5, 12]]
[[12], [12], [12], [12], [5, 5, 5, 5], [12], [12], [12], [5, 11], [5, 5, 5, 5], [5, 12], [6, 12], [12], [5, 12], [5, 5, 5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [5, 12], [5, 12]]
[[12], [12], [5, 12], [5, 5, 5], [5, 12], [12], [12], [12], [6, 11], [5, 5, 5], [12], [12], [12], [12], [5, 12], [11], [12], [5, 12], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 12], [12]]
[[12], [11], [12], [5, 12], [5, 5, 5], [5, 5, 6], [12], [12], [5, 12], [5, 5, 5], [12], [12], [12], [11], [12], [5, 5, 5], [12], [5, 12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12]]
[[12], [5, 5, 5], [12], [12], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [12], [11], [12], [12], [11], [12], [12], [12], [5, 5, 6], [12], [12], [5, 5], [5, 12], [12], [12], [12], [12]]
[[12], [12], [12], [12], [12], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5, 5], [12], [12], [12], [5, 5, 5], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [11], [12], [11], [12], [12], [6], [5, 5]]
[[11], [12], [12], [11], [12], [12], [12], [12], [12], [12], [12], [12], [6], [5, 5, 5], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5, 5], [12], [12], [12], [], [5, 5, 5], [12], [5, 5, 5], [5, 5, 5]]
[[12], [5, 5, 5], [5, 5, 5], [12], [12], [5, 5, 5], [5, 5], [12], [], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [12], [12], [11], [12], [11], [12], [6], [12], [], [5, 5, 5], [12], [12], [12]]
[[12], [12], [6], [5, 5, 5], [5, 5, 5], [12], [5, 5, 5], [12], [12], [], [12], [12], [11], [11], [12], [12], [], [12], [12], [5, 5, 5], [12], [12], [12], [12], [12], [12], [12], [5, 5, 5], [12], [], [5, 5], [12]]
[[12], [12], [12], [5, 5], [12], [11], [], [], [5, 5], [12], [12], [11], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [5, 6], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 5], [12]]
[[12], [12], [12], [12], [], [5, 5], [11], [12], [11], [5, 5], [12], [6], [12], [12], [12], [5, 5], [12], [12], [5, 5], [12], [5, 5], [12], [12], [12], [12], [5, 5], [5, 5], [12], [12], [12], [5], [], [12], [5, 5]]
[[12], [5, 5], [12], [12], [12], [], [5, 5], [5], [12], [12], [12], [12], [12], [6], [5, 5], [12], [5, 5], [12], [5, 5], [5, 5], [5, 5], [], [12], [11], [12], [12], [5, 5], [12], [11], [12], [12], [12], [12], [], [12]]
[[12], [5, 5], [12], [12], [12], [5, 5], [12], [12], [12], [12], [5, 5], [12], [12], [5, 5], [11], [12], [12], [5, 5], [12], [12], [12], [12], [12], [11], [], [12], [12], [5, 5], [5], [5, 5], [6], [], [], [5, 5], [12], []]
[[12], [6], [5, 5], [], [5, 5], [12], [5, 5], [12], [12], [12], [12], [12], [12], [], [], [12], [12], [5], [12], [11], [12], [12], [12], [12], [], [5, 5], [11], [12], [5, 5], [5, 5], [12], [5, 5], [5, 5], [], [12], [12], [12]]
[[11], [12], [12], [12], [12], [5, 5], [12], [12], [5, 6], [12], [12], [5, 5], [12], [11], [12], [], [5, 5], [12], [12], [5, 5], [], [12], [5, 5], [], [5, 5], [12], [12], [12], [], [], [12], [12], [5, 5], [12], [], [], [5, 5], [12]]
[[], [12], [5, 5], [5, 5], [5, 5], [], [5, 5], [5, 5], [], [12], [12], [5, 5], [12], [12], [5, 5], [], [12], [5, 6], [], [12], [12], [11], [], [12], [12], [12], [5, 5], [12], [12], [12], [12], [12], [11], [12], [], [12], [12], [], [12]]
[[12], [], [], [5, 5], [12], [12], [11], [12], [5, 5], [12], [12], [], [5, 5], [5, 5], [12], [12], [], [5, 5], [], [12], [12], [5, 5], [12], [], [12], [11], [12], [12], [12], [12], [12], [5, 5], [12], [5, 5], [12], [12], [5, 6], [], [], []]
-EndAllocation

Instance: [[1], [352], 40]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12]; Results for m' = 2,...,40. UB Alg: [234, 157, 117, 94, 78, 68, 58, 53, 48, 42, 40, 37, 34, 32, 29, 28, 26, 25, 24, 22, 21, 21, 20, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 14, 13, 13, 13, 13, 12], Opt: [176, 118, 88, 71, 59, 51, 44, 40, 36, 32, 30, 28, 26, 24, 22, 21, 20, 19, 18, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9]
Allocation for m' = 2,...,40:
-StartAllocation
[[6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12], [5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10]]
[[8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 11, 11, 11, 11], [5, 5, 5, 5, 10, 10, 10, 10, 11], [6, 6, 6, 7, 7, 7, 7, 11, 12, 12, 12, 12, 12, 12]]
[[6, 6, 6, 8, 12], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 9, 9, 9, 9, 12, 12, 12, 12, 12], [10, 10, 10, 10, 11, 11, 11, 11, 11, 11]]
[[8], [9, 9, 9, 9, 10, 10, 10, 10], [5, 6, 6, 6, 11, 11, 11, 11, 11, 11], [5, 5, 5, 12, 12, 12, 12, 12, 12], [7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8]]
[[6, 8, 11, 11, 11, 11, 11], [5, 5, 5, 5, 7, 7, 7, 7], [12, 12, 12, 12, 12, 12], [9, 9, 9, 9, 10, 10, 10, 10], [6, 6, 8, 8, 8, 8, 8, 8, 8, 8], [11]]
[[8, 12, 12], [11, 11, 11, 11, 11, 11], [6, 6, 6], [9, 9, 9, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 12, 12, 12, 12], [7, 7, 7, 7, 9]]
[[8, 9, 9, 9, 9], [11, 11, 11, 11, 11], [12, 12], [12, 12, 12, 12], [5, 5, 5, 5, 8], [10, 10, 10, 10, 11], [6, 6, 6, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8]]
[[8, 12, 12, 12], [9, 9, 9, 12, 12], [8, 10, 10, 10, 10], [8, 8, 8, 8, 8, 8], [], [8, 11, 11, 11, 11], [5, 5, 5, 5, 11, 11], [7, 7, 7, 7, 9], [6, 6, 6, 12]]
[[8, 8, 8, 8, 8, 8], [9, 9, 9, 9], [10, 10, 10, 10], [11, 11], [5, 5, 5, 5, 12, 12], [12, 12, 12, 12], [8, 8], [11], [8, 11, 11, 11], [6, 6, 6, 7, 7, 7, 7]]
[[8, 12, 12], [9, 9, 9, 9], [7, 7, 7, 7], [12, 12, 12], [8, 8, 8], [11, 11, 11], [12], [10, 10, 10, 10], [11, 11, 11], [5, 5, 5, 5, 6, 6, 6], [8, 8, 8, 8, 8]]
[[8, 12, 12], [10, 10, 10, 10], [6, 6, 6], [8, 8, 8], [], [7, 7, 7, 7], [9, 9, 9, 9], [5, 5, 5, 5, 12], [11, 11, 11], [12, 12, 12], [8, 8, 8, 8, 8], [11, 11, 11]]
[[8, 8, 8, 8], [], [8, 8, 8, 8], [12, 12, 12], [6, 6, 6], [11, 11, 11], [9, 9, 9, 9], [12, 12, 12], [7, 7, 7, 7, 8], [10, 10, 10], [5, 5, 5, 5, 10], [], [11, 11, 11]]
[[8, 8, 8, 8], [], [8, 8, 8, 8], [9, 12, 12], [7, 7, 7, 7], [5, 5, 5, 5], [6, 6, 6, 11], [10, 11, 11], [8, 10, 10], [9, 9, 9], [10], [11, 11, 11], [12, 12], [12, 12]]
[[5, 5, 5, 5, 8], [11, 11], [6, 6, 6], [8, 8, 8, 8], [10, 12], [11, 11], [9, 12], [10, 10, 10], [11, 11], [7, 7, 7, 7], [9, 9, 9], [12, 12], [12, 12], [8, 8, 8, 8], []]
[[8, 8, 10], [7, 7, 7, 7], [12, 12], [9, 9, 9], [8, 8, 8], [11, 11], [10, 12], [6, 6, 6, 8], [5, 5, 5, 5, 9], [8, 8, 8], [12, 12], [11, 11], [12], [10, 10], [11, 11], []]
[[8, 8, 8], [], [10, 10], [12], [12, 12], [11, 11], [11, 12], [8, 11], [8, 8, 8], [7, 7, 7, 7], [6, 6, 8, 8], [9, 12], [5, 5, 5, 5], [6, 11, 11], [10, 10], [12], [9, 9, 9]]
[[8, 8, 8], [10, 10], [12, 12], [12, 12], [8, 8], [11, 12], [10, 10], [7, 7, 7], [8, 11], [5, 5, 5, 5], [9, 9], [], [11, 11], [12], [11, 11], [6, 6, 6, 7], [9, 9], [8, 8, 8]]
[[8, 8, 8], [11, 11], [], [], [7, 11], [5, 5, 5, 5], [10, 10], [8, 11], [8, 8, 8], [12, 12], [10, 10], [8, 8], [12, 12], [12, 12], [7, 7, 7], [11, 11], [9, 9], [9, 9], [6, 6, 6]]
[[8, 8, 8], [7, 7, 7], [11, 11], [9, 9], [11, 11], [], [9, 9], [7], [8, 8, 8], [10, 10], [12, 12], [8, 8, 8], [5, 5, 5, 5], [6, 6, 6], [12, 12], [11, 11], [], [], [12, 12], [10, 10]]
[[8, 8], [9, 9], [8, 12], [10, 10], [7, 12], [9, 9], [12], [11, 11], [8, 8], [8, 8], [6, 6, 6], [11, 11], [12], [7, 7, 7], [11, 11], [10, 10], [], [12], [5, 5, 5, 5], [12], [8, 8]]
[[8, 8], [10, 10], [7, 7, 7], [], [9, 9], [6, 6, 6], [8, 12], [8, 8], [8, 12], [8, 12], [11], [11], [11], [5, 5, 5, 5], [8, 11], [10, 10], [7, 12], [11], [12], [8, 11], [9, 9], [12]]
[[8, 8], [11], [10, 10], [10, 10], [8, 12], [6, 6, 6], [7, 11], [7, 7, 7], [8, 8], [11], [8, 12], [5, 5, 5, 5], [12], [9, 9], [12], [11], [8, 12], [11], [11], [9, 9], [8, 8], [], [12]]
[[8, 8], [12], [5, 5, 5, 5], [8, 11], [10, 10], [11], [11], [8, 10], [8, 8], [8, 8], [8, 12], [12], [11], [12], [], [12], [7, 12], [9, 9], [11], [9, 9], [7, 7], [10], [6, 6, 6], [7, 11]]
[[8, 11], [12], [11], [9, 9], [6, 6, 6], [8, 12], [7, 11], [12], [8, 8], [8, 8], [10, 10], [12], [7, 7], [8, 11], [11], [], [], [], [8, 8], [12], [7, 12], [10, 10], [5, 5, 5, 5], [9, 9], [11]]
[[8, 8], [8, 8], [5, 11], [10], [12], [8, 10], [12], [12], [11], [5, 5, 5], [8, 8], [7, 7], [6, 6, 6], [11], [12], [7, 7], [12], [11], [10], [9, 9], [11], [11], [12], [9, 9], [10], [8, 8]]
[[8, 8], [8, 8], [10], [9, 9], [12], [10], [10], [], [7, 7], [11], [8, 10], [11], [11], [7, 7], [12], [12], [8, 8], [12], [6, 6, 6], [12], [9, 9], [11], [5, 5, 5], [12], [5, 11], [11], [8, 8]]
[[8, 8], [8, 8], [7, 7], [5, 5, 5], [12], [9], [12], [6, 11], [8, 8], [5, 9], [9], [12], [], [10], [11], [11], [6, 8], [10], [12], [12], [6, 10], [11], [11], [7, 9], [11], [12], [7, 10], [8, 8]]
[[8, 8], [8, 8], [12], [11], [5, 5, 5], [7, 7], [12], [10], [11], [9], [6, 6], [11], [11], [], [], [10], [12], [12], [10], [8, 9], [11], [8, 8], [5, 12], [7, 9], [10], [6, 11], [12], [7, 9], [8, 8]]
[[6, 10], [8, 8], [8, 8], [12], [12], [12], [9], [12], [11], [11], [], [], [5, 5, 5], [10], [6, 6], [5, 11], [12], [7, 7], [12], [10], [9], [9], [7, 9], [7, 8], [11], [10], [11], [11], [8, 8], [8, 8]]
[[8], [8, 8], [7, 9], [6, 6], [11], [11], [12], [], [10], [7, 7], [12], [], [12], [5, 5, 5], [8, 8], [5, 11], [], [12], [9], [11], [12], [12], [11], [10], [10], [7, 9], [10], [6, 9], [11], [8, 8], [8, 8]]
[[6, 8], [5, 8], [12], [5, 5], [12], [7, 7], [12], [7, 7], [12], [10], [11], [10], [10], [11], [11], [11], [8], [12], [6, 8], [8], [8], [11], [8], [12], [9], [11], [9], [8], [9], [5, 9], [6, 8], [10]]
[[12], [5, 9], [9], [12], [11], [11], [10], [11], [8], [8], [9], [12], [6, 6], [], [10], [8], [12], [9], [12], [11], [12], [5, 8], [7, 7], [5, 8], [8], [11], [8], [10], [7, 7], [5, 8], [6, 8], [10], [11]]
[[11], [5, 9], [11], [12], [5, 9], [11], [8], [8], [9], [12], [12], [10], [8], [7, 7], [11], [], [12], [7, 7], [10], [11], [12], [], [6], [5, 8], [12], [8], [5, 8], [6, 8], [10], [8], [11], [10], [6, 8], [9]]
[[11], [5, 8], [12], [8], [8], [6, 8], [11], [11], [12], [10], [9], [11], [10], [12], [10], [], [7, 7], [12], [], [], [8], [9], [11], [11], [9], [12], [8], [6, 6], [5, 8], [8], [5, 8], [10], [5, 9], [12], [7, 7]]
[[5, 7], [8], [8], [8], [8], [7], [10], [8], [8], [10], [6, 6], [7], [11], [8], [6], [12], [5, 7], [12], [10], [12], [], [9], [11], [11], [9], [12], [9], [10], [12], [9], [12], [11], [5, 8], [11], [11], [5, 8]]
[[5, 7], [8], [8], [8], [9], [8], [7], [8], [5, 5], [6], [12], [10], [5, 7], [11], [12], [12], [11], [10], [6, 6], [7], [8], [12], [12], [], [11], [8], [9], [11], [9], [12], [10], [9], [11], [8], [8], [11], [10]]
[[12], [8], [7], [8], [8], [8], [11], [10], [5, 5], [9], [12], [], [9], [6, 6], [10], [12], [], [8], [8], [7], [12], [6, 7], [9], [11], [11], [9], [], [10], [5, 8], [8], [11], [11], [12], [11], [12], [8], [10], [5, 7]]
[[6, 6], [8], [8], [8], [7], [8], [9], [11], [10], [10], [5, 5], [9], [], [8], [11], [12], [5, 5], [], [7], [12], [12], [6], [11], [7], [8], [10], [9], [12], [7], [11], [8], [12], [9], [12], [10], [11], [11], [8], [8]]
[[8], [8], [8], [8], [8], [8], [11], [9], [9], [10], [8], [7], [], [], [9], [11], [12], [12], [12], [10], [11], [9], [11], [5, 5], [7], [7], [11], [7], [], [8], [6, 6], [5, 5], [10], [6], [12], [12], [11], [12], [10], [8]]
-EndAllocation

Instance: [[1], [30], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [9, 10, 11]; Results for m' = 2,...,3. UB Alg: [20, 13], Opt: [15, 10]
Allocation for m' = 2,...,3:
-StartAllocation
[[9, 11], [10]]
[[10], [9], [11]]
-EndAllocation

Instance: [[1], [29], 3]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 10, 11]; Results for m' = 2,...,3. UB Alg: [20, 13], Opt: [15, 10]
Allocation for m' = 2,...,3:
-StartAllocation
[[8, 11], [10]]
[[8], [10], [11]]
-EndAllocation

Instance: [[1], [48], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 10, 12, 12]; Results for m' = 2,...,5. UB Alg: [32, 21, 16, 13], Opt: [24, 16, 12, 10]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 12, 12], [7, 10]]
[[7, 10], [7, 12], [12]]
[[7, 7], [12], [10], [12]]
[[12], [7], [12], [7], [10]]
-EndAllocation

Instance: [[1], [47], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 9, 10, 13]; Results for m' = 2,...,5. UB Alg: [32, 21, 16, 13], Opt: [24, 16, 12, 10]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 9, 13], [8, 10]]
[[9, 10], [8], [7, 13]]
[[13], [7, 9], [10], [8]]
[[10], [7], [8], [9], [13]]
-EndAllocation

Instance: [[1], [46], 5]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 7, 12, 13]; Results for m' = 2,...,5. UB Alg: [30, 21, 16, 13], Opt: [23, 16, 12, 10]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 7, 7], [12, 13]]
[[7, 12], [13], [7, 7]]
[[13], [7, 7], [7], [12]]
[[7], [7], [7], [12], [13]]
-EndAllocation

Instance: [[1], [60], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 9, 10, 10, 11, 13]; Results for m' = 2,...,6. UB Alg: [40, 26, 20, 16, 13], Opt: [30, 20, 15, 12, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[7, 9, 11, 13], [10, 10]]
[[7, 9, 10], [10, 11], [13]]
[[10, 10], [9], [11], [7, 13]]
[[7, 9], [10], [13], [10], [11]]
[[11], [10], [10], [13], [7], [9]]
-EndAllocation

Instance: [[1], [59], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 9, 9, 10, 11, 13]; Results for m' = 2,...,6. UB Alg: [40, 26, 20, 16, 13], Opt: [30, 20, 15, 12, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[7, 9, 9, 13], [10, 11]]
[[7, 9, 9], [10, 11], [13]]
[[10], [9, 11], [9], [7, 13]]
[[7, 9], [10], [9], [13], [11]]
[[11], [13], [10], [9], [7], [9]]
-EndAllocation

Instance: [[1], [58], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 12, 12, 13, 13]; Results for m' = 2,...,6. UB Alg: [38, 26, 20, 16, 13], Opt: [29, 20, 15, 12, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[13, 13], [4, 4, 12, 12]]
[[13], [12, 12], [4, 4, 13]]
[[4, 4, 12], [13], [12], [13]]
[[13], [4, 4], [12], [13], [12]]
[[12], [13], [12], [], [4, 4], [13]]
-EndAllocation

Instance: [[1], [57], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 8, 10, 11, 12]; Results for m' = 2,...,6. UB Alg: [38, 25, 20, 16, 13], Opt: [29, 19, 15, 12, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 8, 8, 10], [11, 12]]
[[11, 12], [8, 8, 8], [10]]
[[8, 12], [8, 10], [], [8, 11]]
[[8, 8], [8], [12], [11], [10]]
[[8], [12], [10], [11], [8], [8]]
-EndAllocation

Instance: [[1], [56], 6]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 9, 9, 9, 13]; Results for m' = 2,...,6. UB Alg: [37, 25, 18, 16, 13], Opt: [28, 19, 14, 12, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[8, 8, 9, 9], [9, 13]]
[[8, 8, 9], [13], [9, 9]]
[[9, 9], [8, 9], [8], [13]]
[[9], [13], [9], [8, 8], [9]]
[[8], [9], [8], [9], [13], [9]]
-EndAllocation

Instance: [[1], [70], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 12, 12, 13, 13, 13]; Results for m' = 2,...,7. UB Alg: [46, 32, 24, 18, 16, 13], Opt: [35, 24, 18, 14, 12, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[2, 13, 13], [5, 12, 12, 13]]
[[2, 13], [13, 13], [5, 12, 12]]
[[2, 13], [12, 12], [5, 13], [13]]
[[12], [2, 13], [12], [5, 13], [13]]
[[13], [12], [13], [12], [2, 5], [13]]
[[13], [13], [12], [5], [13], [2], [12]]
-EndAllocation

Instance: [[1], [69], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 8, 12, 13, 13, 13]; Results for m' = 2,...,7. UB Alg: [46, 30, 24, 18, 16, 13], Opt: [35, 23, 18, 14, 12, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[5, 8, 12], [5, 13, 13, 13]]
[[13, 13], [12, 13], [5, 5, 8]]
[[13], [8, 13], [12], [5, 5, 13]]
[[13], [12], [13], [13], [5, 5, 8]]
[[13], [8], [5, 5], [13], [12], [13]]
[[12], [], [13], [13], [5, 5], [13], [8]]
-EndAllocation

Instance: [[1], [68], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 9, 9, 10, 11, 13]; Results for m' = 2,...,7. UB Alg: [45, 30, 22, 18, 16, 13], Opt: [34, 23, 17, 14, 12, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[8, 8, 11, 13], [9, 9, 10]]
[[11, 13], [8, 8, 10], [9, 9]]
[[10, 11], [13], [9, 9], [8, 8]]
[[13], [9, 9], [8, 10], [8], [11]]
[[9], [10], [8, 8], [13], [11], [9]]
[[8], [8], [11], [13], [9], [9], [10]]
-EndAllocation

Instance: [[1], [67], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 7, 13, 13, 13, 13]; Results for m' = 2,...,7. UB Alg: [45, 30, 22, 18, 16, 13], Opt: [34, 23, 17, 14, 12, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[4, 7, 13], [4, 13, 13, 13]]
[[7], [4, 13, 13], [4, 13, 13]]
[[13], [4, 4, 13], [13], [7, 13]]
[[13], [13], [13], [4, 4, 7], [13]]
[[13], [4, 4], [13], [13], [13], [7]]
[[13], [13], [4, 4], [], [7], [13], [13]]
-EndAllocation

Instance: [[1], [66], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 12, 13, 13, 13]; Results for m' = 2,...,7. UB Alg: [44, 29, 22, 18, 14, 13], Opt: [33, 22, 17, 14, 11, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[13, 13], [5, 5, 5, 12, 13]]
[[5, 5, 5], [12, 13], [13, 13]]
[[12], [5, 13], [5, 13], [5, 13]]
[[13], [13], [12], [5, 5, 5], [13]]
[[12], [13], [5, 5], [13], [5], [13]]
[[], [13], [12], [13], [5, 5], [13], [5]]
-EndAllocation

Instance: [[1], [65], 7]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 11, 13, 13, 13]; Results for m' = 2,...,7. UB Alg: [44, 29, 22, 17, 14, 13], Opt: [33, 22, 17, 13, 11, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[11, 13], [5, 5, 5, 13, 13]]
[[13], [13, 13], [5, 5, 5, 11]]
[[13], [5, 13], [5, 5, 11], [13]]
[[13], [5, 5, 5], [13], [13], [11]]
[[13], [5], [13], [5, 5], [13], [11]]
[[], [5, 5], [13], [11], [5], [13], [13]]
-EndAllocation

Instance: [[1], [80], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 9, 12, 12, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [53, 36, 26, 21, 18, 16, 13], Opt: [40, 27, 20, 16, 14, 12, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 9, 12, 12], [13, 13, 13]]
[[13], [9, 12, 12], [4, 4, 13, 13]]
[[13], [13, 13], [12, 12], [4, 4, 9]]
[[13], [12], [13], [4, 4, 13], [9, 12]]
[[12], [13], [13], [13], [4, 4, 9], [12]]
[[12], [13], [13], [12], [13], [4, 4], [9]]
[[], [4, 4], [13], [12], [13], [12], [9], [13]]
-EndAllocation

Instance: [[1], [79], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 13, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [53, 36, 26, 21, 18, 16, 13], Opt: [40, 27, 20, 16, 14, 12, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 6, 13, 13, 13], [13, 13]]
[[13], [6, 13, 13], [4, 4, 13, 13]]
[[13], [13, 13], [6, 13], [4, 4, 13]]
[[13], [13], [6, 13], [4, 4, 13], [13]]
[[13], [13], [13], [13], [4, 4, 6], [13]]
[[13], [13], [13], [13], [], [4, 4, 6], [13]]
[[], [4, 4], [13], [6], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [78], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 8, 9, 9, 10, 10, 12, 13]; Results for m' = 2,...,8. UB Alg: [52, 34, 26, 21, 17, 16, 13], Opt: [39, 26, 20, 16, 13, 12, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[8, 10, 10], [7, 9, 9, 12, 13]]
[[7, 9, 13], [10, 10], [8, 9, 12]]
[[10, 10], [13], [7, 12], [8, 9, 9]]
[[7, 8], [13], [9, 12], [10, 10], [9]]
[[7, 10], [8, 9], [12], [9], [13], [10]]
[[7, 9], [13], [9], [10], [8], [10], [12]]
[[13], [8], [10], [10], [12], [9], [9], [7]]
-EndAllocation

Instance: [[1], [77], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 13, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [52, 34, 26, 21, 17, 14, 13], Opt: [39, 26, 20, 16, 13, 11, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[13, 13, 13, 13], [4, 4, 4, 13]]
[[13, 13], [4, 4, 4, 13], [13, 13]]
[[], [13, 13], [13, 13], [4, 4, 4, 13]]
[[13], [4, 4, 13], [4, 13], [13], [13]]
[[13], [13], [13], [4, 4, 4], [13], [13]]
[[13], [4, 4, 4], [], [13], [13], [13], [13]]
[[13], [], [], [13], [4, 4, 4], [13], [13], [13]]
-EndAllocation

Instance: [[1], [75], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 11, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [50, 33, 25, 20, 17, 14, 13], Opt: [38, 25, 19, 15, 13, 11, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 11, 13, 13], [13, 13]]
[[13], [4, 4, 11, 13], [4, 13, 13]]
[[13], [11, 13], [4, 4, 4, 13], [13]]
[[13], [4, 13], [13], [13], [4, 4, 11]]
[[13], [4, 13], [4, 11], [4, 13], [], [13]]
[[11], [13], [13], [4, 4, 4], [13], [13], []]
[[13], [11], [13], [], [4, 4, 4], [13], [13], []]
-EndAllocation

Instance: [[1], [74], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 10, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [49, 33, 25, 20, 17, 14, 13], Opt: [37, 25, 19, 15, 13, 11, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 10, 13, 13], [13, 13]]
[[13], [4, 4, 10, 13], [4, 13, 13]]
[[13], [10, 13], [4, 4, 4, 13], [13]]
[[13], [13], [13], [4, 13], [4, 4, 10]]
[[], [4, 13], [4, 13], [4, 13], [10], [13]]
[[13], [13], [13], [4, 10], [4, 4], [13], []]
[[13], [], [13], [], [4, 4, 4], [13], [13], [10]]
-EndAllocation

Instance: [[1], [73], 8]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 9, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [49, 33, 25, 20, 17, 14, 13], Opt: [37, 25, 19, 15, 13, 11, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 9, 13, 13], [13, 13]]
[[13], [4, 4, 9, 13], [4, 13, 13]]
[[13], [13], [4, 4, 4, 13], [9, 13]]
[[4, 13], [13], [9], [4, 13], [4, 13]]
[[9], [4, 13], [4, 13], [4, 13], [], [13]]
[[13], [9], [13], [4, 4, 4], [13], [13], []]
[[13], [9], [13], [], [4, 4, 4], [13], [13], []]
-EndAllocation

Instance: [[1], [90], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13], Opt: [45, 30, 23, 18, 15, 13, 12, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 5, 11, 12], [5, 13, 13, 13, 13]]
[[13], [11, 13, 13], [5, 5, 5, 12, 13]]
[[12], [13, 13], [5, 5, 5, 13], [11, 13]]
[[13], [5, 13], [12], [5, 5, 13], [11, 13]]
[[11], [5, 12], [5, 13], [13], [13], [5, 13]]
[[13], [13], [13], [13], [12], [11], [5, 5, 5]]
[[13], [], [13], [11], [13], [12], [13], [5, 5, 5]]
[[], [13], [11], [5, 5], [12], [13], [13], [5], [13]]
-EndAllocation

Instance: [[1], [89], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 11, 12, 12, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [60, 40, 30, 24, 20, 17, 16, 13], Opt: [45, 30, 23, 18, 15, 13, 12, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[11, 12, 12], [5, 5, 5, 13, 13, 13]]
[[13], [11, 13, 13], [5, 5, 5, 12, 12]]
[[12], [13, 13], [5, 5, 5, 13], [11, 12]]
[[13], [11, 13], [12, 12], [13], [5, 5, 5]]
[[11], [5, 12], [5, 12], [13], [13], [5, 13]]
[[13], [12], [13], [13], [12], [11], [5, 5, 5]]
[[13], [], [13], [11], [12], [12], [13], [5, 5, 5]]
[[12], [13], [11], [5, 5], [12], [13], [], [5], [13]]
-EndAllocation

Instance: [[1], [88], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 7, 8, 9, 11, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [58, 40, 29, 24, 20, 17, 14, 13], Opt: [44, 30, 22, 18, 15, 13, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[7, 7, 7, 8, 9, 13], [11, 13, 13]]
[[7, 7, 7, 13], [8, 13, 13], [9, 11]]
[[8, 9, 11], [13], [13, 13], [7, 7, 7]]
[[7, 7, 8], [9, 13], [7, 11], [13], [13]]
[[7, 7], [9, 11], [13], [7, 8], [13], [13]]
[[7, 8], [13], [7, 7], [9], [13], [11], [13]]
[[13], [7], [11], [13], [8], [9], [13], [7, 7]]
[[13], [7], [13], [13], [7], [11], [9], [8], [7]]
-EndAllocation

Instance: [[1], [87], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 8, 8, 9, 10, 12, 13, 13]; Results for m' = 2,...,9. UB Alg: [58, 38, 29, 24, 20, 17, 14, 13], Opt: [44, 29, 22, 18, 15, 13, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[7, 7, 8, 8, 9, 10], [12, 13, 13]]
[[7, 7, 10, 13], [8, 8, 13], [9, 12]]
[[8, 8, 9], [13, 13], [12], [7, 7, 10]]
[[7, 8, 8], [9, 13], [7], [13], [10, 12]]
[[7, 7], [12], [8, 8], [9, 10], [13], [13]]
[[8, 8], [9], [10], [12], [13], [7, 7], [13]]
[[13], [9], [12], [8], [8], [10], [13], [7, 7]]
[[8], [7], [9], [13], [7], [10], [12], [8], [13]]
-EndAllocation

Instance: [[1], [86], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [8, 8, 10, 10, 12, 12, 13, 13]; Results for m' = 2,...,9. UB Alg: [57, 38, 29, 24, 20, 17, 14, 13], Opt: [43, 29, 22, 18, 15, 13, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[8, 8, 12, 13, 13], [10, 10, 12]]
[[10, 12, 12], [8, 8], [10, 13, 13]]
[[13, 13], [10, 10], [12, 12], [8, 8]]
[[8, 8], [12, 12], [13], [10, 10], [13]]
[[8, 12], [], [13], [8, 12], [13], [10, 10]]
[[13], [13], [8, 8], [12], [10], [12], [10]]
[[13], [12], [12], [10], [13], [8], [8], [10]]
[[12], [10], [13], [], [12], [8], [13], [10], [8]]
-EndAllocation

Instance: [[1], [85], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 10, 11, 11, 12, 13, 13]; Results for m' = 2,...,9. UB Alg: [57, 38, 29, 22, 20, 17, 14, 13], Opt: [43, 29, 22, 17, 15, 13, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[10, 11, 13], [5, 5, 5, 11, 12, 13]]
[[11], [5, 5, 5, 10, 11], [12, 13, 13]]
[[12], [10, 11], [13, 13], [5, 5, 5, 11]]
[[13], [13], [10, 11], [5, 12], [5, 5, 11]]
[[13], [5, 11], [5, 13], [5, 11], [12], [10]]
[[11], [5, 5, 5], [13], [10], [12], [13], [11]]
[[11], [5, 5], [5], [10], [12], [13], [13], [11]]
[[13], [12], [11], [13], [], [11], [5], [5, 5], [10]]
-EndAllocation

Instance: [[1], [84], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 6, 9, 11, 12, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13], Opt: [42, 28, 21, 17, 14, 12, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[5, 12, 13], [2, 6, 9, 11, 13, 13]]
[[13, 13], [2, 5, 12, 13], [6, 9, 11]]
[[5], [6, 9, 12], [11, 13], [2, 13, 13]]
[[13], [9, 12], [2, 5, 13], [6, 13], [11]]
[[13], [11], [6, 9], [5, 13], [12], [2, 13]]
[[12], [5], [13], [13], [2, 13], [11], [6, 9]]
[[12], [2, 9], [5, 6], [], [13], [13], [11], [13]]
[[13], [13], [], [9], [11], [13], [12], [2], [5, 6]]
-EndAllocation

Instance: [[1], [83], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 7, 9, 12, 13, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [56, 37, 28, 22, 18, 16, 14, 13], Opt: [42, 28, 21, 17, 14, 12, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[3, 7, 9, 12], [13, 13, 13, 13]]
[[3, 7, 9, 13], [12, 13], [13, 13]]
[[3, 9, 12], [13, 13], [7], [13, 13]]
[[7, 13], [9, 13], [3, 13], [13], [12]]
[[3, 12], [13], [13], [13], [13], [7, 9]]
[[3, 12], [13], [13], [13], [13], [], [7, 9]]
[[12], [13], [13], [13], [13], [], [3, 9], [7]]
[[13], [13], [13], [13], [7], [12], [], [3], [9]]
-EndAllocation

Instance: [[1], [82], 9]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 6, 9, 13, 13, 13, 13, 13]; Results for m' = 2,...,9. UB Alg: [54, 37, 28, 22, 18, 16, 14, 13], Opt: [41, 28, 21, 17, 14, 12, 11, 10]
Allocation for m' = 2,...,9:
-StartAllocation
[[1, 1, 13, 13], [6, 9, 13, 13, 13]]
[[13, 13], [13, 13], [1, 1, 6, 9, 13]]
[[], [6, 9, 13], [13, 13], [1, 1, 13, 13]]
[[13], [9, 13], [13], [6, 13], [1, 1, 13]]
[[13], [13], [6, 9], [1, 1, 13], [13], [13]]
[[13], [1, 1, 13], [6], [13], [13], [13], [9]]
[[9], [13], [6], [13], [1, 1], [13], [13], [13]]
[[13], [13], [1, 1], [9], [], [13], [13], [13], [6]]
-EndAllocation

Instance: [[1], [100], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 10, 10, 12, 12, 12, 12, 13, 13]; Results for m' = 2,...,10. UB Alg: [66, 45, 33, 26, 22, 20, 17, 16, 13], Opt: [50, 34, 25, 20, 17, 15, 13, 12, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[3, 10, 10, 12], [3, 12, 12, 12, 13, 13]]
[[13], [10, 10, 12, 12], [3, 3, 12, 12, 13]]
[[12, 13], [12, 12], [3, 3, 10, 10], [12, 13]]
[[], [12, 12], [3, 3, 10, 10], [13, 13], [12, 12]]
[[13], [10, 12], [3, 3, 12], [13], [10, 12], [12]]
[[12], [3, 3, 12], [13], [10, 10], [13], [12], [12]]
[[12], [3, 3, 10], [12], [10], [13], [12], [12], [13]]
[[10], [13], [10], [12], [12], [12], [3, 3], [13], [12]]
[[], [10], [10], [13], [3, 3], [12], [12], [12], [13], [12]]
-EndAllocation

Instance: [[1], [99], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 8, 10, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [66, 44, 33, 26, 22, 20, 17, 14, 13], Opt: [50, 33, 25, 20, 17, 15, 13, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[13, 13, 13], [3, 3, 8, 10, 11, 12, 13]]
[[13, 13], [3, 3, 8, 11, 13], [10, 12, 13]]
[[8, 11], [13, 13], [3, 3, 10, 12], [13, 13]]
[[], [13, 13], [3, 3, 8, 12], [10, 13], [11, 13]]
[[12], [3, 3, 13], [13], [13], [8, 13], [10, 11]]
[[11], [13], [8, 10], [3, 3, 13], [13], [12], [13]]
[[13], [8], [3, 13], [12], [13], [10], [11], [3, 13]]
[[11], [13], [8], [13], [3, 3], [10], [12], [13], [13]]
[[13], [], [12], [13], [13], [11], [3, 3], [13], [8], [10]]
-EndAllocation

Instance: [[1], [98], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[13, 13, 13], [5, 5, 5, 5, 13, 13, 13]]
[[13, 13], [13, 13, 13], [5, 5, 5, 5, 13]]
[[13], [13, 13], [5, 5, 5, 5, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5]]
[[13], [5, 13], [5, 13], [5, 13], [13], [5, 13]]
[[13], [5, 5, 5], [13], [13], [13], [5, 13], [13]]
[[13], [13], [13], [13], [13], [5, 5, 5], [5], [13]]
[[], [5, 5], [13], [5, 5], [13], [13], [13], [13], [13]]
[[13], [13], [], [13], [13], [13], [5, 5], [], [13], [5, 5]]
-EndAllocation

Instance: [[1], [97], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [65, 44, 33, 26, 22, 18, 17, 14, 13], Opt: [49, 33, 25, 20, 17, 14, 13, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[13, 13, 13], [5, 5, 5, 5, 12, 13, 13]]
[[12, 13], [13, 13, 13], [5, 5, 5, 5, 13]]
[[13], [13, 13], [5, 5, 5, 5, 12], [13, 13]]
[[], [13, 13], [12, 13], [13, 13], [5, 5, 5, 5]]
[[13], [5, 13], [5, 13], [5, 13], [12], [5, 13]]
[[13], [5, 5, 5], [13], [12], [13], [5, 13], [13]]
[[13], [13], [13], [13], [13], [5, 5, 5], [], [5, 12]]
[[], [5, 5], [13], [5, 5], [13], [12], [13], [13], [13]]
[[13], [13], [], [13], [13], [13], [5, 5], [], [12], [5, 5]]
-EndAllocation

Instance: [[1], [96], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 7, 9, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [64, 42, 32, 26, 21, 18, 16, 14, 13], Opt: [48, 32, 24, 20, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[4, 7, 13, 13, 13, 13], [9, 12, 12]]
[[4, 7, 13, 13], [9, 13, 13], [12, 12]]
[[4, 7, 12], [13, 13], [13, 13], [9, 12]]
[[4, 7, 12], [12, 13], [], [13, 13], [9, 13]]
[[7, 13], [4, 13], [13], [13], [12], [9, 12]]
[[7, 9], [13], [13], [13], [13], [12], [4, 12]]
[[4, 12], [13], [13], [13], [13], [], [12], [7, 9]]
[[4, 9], [13], [13], [7], [12], [], [12], [13], [13]]
[[4, 9], [13], [13], [13], [13], [], [12], [], [12], [7]]
-EndAllocation

Instance: [[1], [95], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 9, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [64, 42, 32, 25, 21, 18, 16, 14, 13], Opt: [48, 32, 24, 19, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[12, 13, 13], [3, 3, 3, 9, 13, 13, 13]]
[[13, 13], [12, 13, 13], [3, 3, 3, 9, 13]]
[[13], [13, 13], [3, 3, 3, 9, 12], [13, 13]]
[[13], [12, 13], [13], [3, 3, 3, 13], [9, 13]]
[[13], [9, 12], [3, 13], [3, 3, 13], [13], [13]]
[[13], [9], [3, 13], [12], [13], [3, 13], [3, 13]]
[[13], [13], [3, 13], [13], [12], [13], [9], [3, 3]]
[[], [3, 9], [13], [3, 3], [13], [13], [12], [13], [13]]
[[13], [], [13], [3, 3, 3], [13], [9], [13], [12], [13], []]
-EndAllocation

Instance: [[1], [94], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 9, 11, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [62, 42, 32, 25, 21, 18, 16, 14, 13], Opt: [47, 32, 24, 19, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[11, 13, 13], [3, 3, 3, 9, 13, 13, 13]]
[[13], [13, 13, 13], [3, 3, 3, 9, 11, 13]]
[[11], [13, 13], [3, 3, 3, 9, 13], [13, 13]]
[[13], [11, 13], [13], [3, 3, 3, 13], [9, 13]]
[[13], [3, 3, 13], [13], [3, 13], [13], [9, 11]]
[[11], [9], [3, 13], [13], [13], [3, 13], [3, 13]]
[[11], [13], [3, 13], [13], [13], [13], [9], [3, 3]]
[[], [3, 9], [13], [3], [13], [13], [3, 11], [13], [13]]
[[13], [11], [13], [3, 3, 3], [13], [9], [13], [13], [], []]
-EndAllocation

Instance: [[1], [93], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 9, 10, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [62, 41, 32, 25, 21, 18, 16, 14, 13], Opt: [47, 31, 24, 19, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[10, 13, 13], [3, 3, 3, 9, 13, 13, 13]]
[[13], [13, 13, 13], [3, 3, 3, 9, 10, 13]]
[[13], [10, 13], [3, 3, 3, 9, 13], [13, 13]]
[[13], [9, 13], [13], [3, 3, 3, 13], [10, 13]]
[[13], [9, 10], [3, 13], [3, 3, 13], [13], [13]]
[[10], [9], [3, 13], [13], [13], [3, 13], [3, 13]]
[[13], [10], [3, 13], [13], [13], [13], [9], [3, 3]]
[[], [3, 9], [13], [3, 10], [13], [13], [13], [3], [13]]
[[13], [], [13], [3, 3, 3], [13], [9], [13], [13], [10], []]
-EndAllocation

Instance: [[1], [92], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 9, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [61, 41, 30, 25, 21, 18, 16, 14, 13], Opt: [46, 31, 23, 19, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[2, 2, 2, 12, 13], [9, 13, 13, 13, 13]]
[[12, 13], [2, 2, 2, 13, 13], [9, 13, 13]]
[[13, 13], [2, 2, 2, 13], [9, 12], [13, 13]]
[[13], [12, 13], [13], [2, 9, 13], [2, 2, 13]]
[[13], [13], [9, 12], [2, 2, 2, 13], [13], [13]]
[[13], [9], [13], [2, 2, 2, 12], [13], [13], [13]]
[[13], [], [2, 13], [13], [2, 2, 12], [13], [9], [13]]
[[], [2, 2, 9], [13], [2], [13], [13], [12], [13], [13]]
[[13], [], [13], [2, 2, 2], [13], [9], [13], [12], [13], []]
-EndAllocation

Instance: [[1], [91], 10]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 10, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,10. UB Alg: [61, 41, 30, 25, 21, 17, 16, 14, 13], Opt: [46, 31, 23, 19, 16, 13, 12, 11, 10]
Allocation for m' = 2,...,10:
-StartAllocation
[[10, 11, 12], [2, 2, 2, 13, 13, 13, 13]]
[[13, 13], [2, 2, 2, 10, 13], [11, 12, 13]]
[[11], [13, 13], [13, 13], [2, 2, 2, 10, 12]]
[[13], [12, 13], [10, 13], [2, 2, 2], [11, 13]]
[[13], [12], [2, 2, 2, 13], [10, 11], [13], [13]]
[[11], [13], [13], [13], [2, 2, 2, 10], [13], [12]]
[[11], [2, 2, 2], [13], [13], [13], [10], [12], [13]]
[[11], [], [2, 2, 2], [13], [13], [13], [13], [12], [10]]
[[], [13], [13], [], [2, 2, 2], [12], [10], [13], [11], [13]]
-EndAllocation

Instance: [[1], [108], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[13, 13, 13], [6, 6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 13], [13, 13, 13]]
[[13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[6], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13]]
[[13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13]]
[[13], [6, 13], [6, 6, 6], [13], [13], [13], [6, 13]]
[[13], [6, 6, 6], [6, 6], [13], [13], [13], [13], [13]]
[[13], [13], [6], [6, 6], [13], [13], [13], [13], [6, 6]]
[[13], [], [6], [13], [6, 6], [13], [13], [13], [6, 6], [13]]
[[13], [6, 6], [], [13], [13], [13], [], [6, 6], [13], [13], [6]]
-EndAllocation

Instance: [[1], [107], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [72, 48, 36, 29, 24, 21, 18, 16, 14, 13], Opt: [54, 36, 27, 22, 18, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 13, 13], [6, 6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 12], [13, 13, 13]]
[[13, 13], [12, 13], [6, 6, 6, 6, 6], [13, 13]]
[[6], [13, 13], [6, 6, 6, 6], [12, 13], [13, 13]]
[[13], [6, 13], [13], [6, 6, 12], [6, 13], [6, 13]]
[[12], [6, 13], [6, 6, 6], [13], [13], [13], [6, 13]]
[[13], [6, 6, 6], [6, 12], [13], [13], [13], [13], [6]]
[[13], [13], [6, 6], [12], [6], [13], [13], [13], [6, 6]]
[[13], [12], [6], [13], [6, 6], [13], [13], [13], [6, 6], []]
[[13], [6, 6], [], [13], [13], [13], [], [6, 6], [12], [13], [6]]
-EndAllocation

Instance: [[1], [106], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [70, 48, 36, 29, 24, 21, 18, 16, 14, 13], Opt: [53, 36, 27, 22, 18, 16, 14, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[13, 13, 13], [6, 6, 6, 6, 6, 11, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 11], [13, 13, 13]]
[[13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13]]
[[6], [13, 13], [6, 6, 6, 6], [11, 13], [13, 13]]
[[13], [13], [6, 6, 6, 6], [11, 13], [13], [6, 13]]
[[13], [6, 13], [6, 6, 6], [13], [13], [11], [6, 13]]
[[13], [6, 6, 6], [6, 6], [13], [11], [13], [13], [13]]
[[13], [13], [6], [6, 6], [13], [13], [11], [13], [6, 6]]
[[13], [], [6], [13], [6, 6], [13], [13], [13], [6, 6], [11]]
[[13], [6, 6], [], [13], [13], [13], [], [11], [6], [13], [6, 6]]
-EndAllocation

Instance: [[1], [105], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [70, 46, 36, 28, 24, 20, 18, 16, 14, 13], Opt: [53, 35, 27, 21, 18, 15, 14, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 13, 13], [6, 6, 6, 6, 6, 11, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 11], [12, 13, 13]]
[[13], [11, 12, 13], [6, 6, 6, 6, 6], [13, 13]]
[[6], [13, 13], [6, 6, 6, 6], [11, 12], [13, 13]]
[[13], [13], [6, 6, 6, 6], [11, 12], [13], [6, 13]]
[[12], [6, 13], [6, 6, 6], [13], [13], [11], [6, 13]]
[[13], [6, 6, 6], [6, 12], [13], [11], [13], [13], [6]]
[[13], [13], [6, 6], [12], [6], [13], [11], [13], [6, 6]]
[[13], [12], [6], [13], [6, 6], [13], [13], [], [6, 6], [11]]
[[13], [6, 6], [], [13], [13], [6], [], [11], [12], [13], [6, 6]]
-EndAllocation

Instance: [[1], [104], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 12, 12, 12, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[9, 13, 13], [5, 5, 5, 5, 12, 12, 12, 13]]
[[13], [5, 5, 9, 13, 13], [5, 5, 12, 12, 12]]
[[13], [13, 13], [5, 5, 5, 5, 12], [9, 12, 12]]
[[], [5, 5, 5, 13], [13, 13], [12, 12], [5, 9, 12]]
[[13], [13], [5, 5, 13], [12], [5, 5, 9], [12, 12]]
[[12], [13], [13], [13], [5, 12], [5, 5, 9], [5, 12]]
[[13], [13], [13], [12], [5, 12], [9], [12], [5, 5, 5]]
[[12], [13], [12], [12], [5, 5, 5], [], [13], [5, 9], [13]]
[[13], [5], [5, 5], [], [13], [12], [13], [12], [5, 9], [12]]
[[12], [13], [], [5, 5], [12], [5, 5], [13], [13], [12], [9], []]
-EndAllocation

Instance: [[1], [103], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 11, 12, 12, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [69, 46, 34, 28, 24, 20, 17, 16, 14, 13], Opt: [52, 35, 26, 21, 18, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[9, 13, 13], [5, 5, 5, 5, 11, 12, 12, 13]]
[[9, 11], [13, 13, 13], [5, 5, 5, 5, 12, 12]]
[[11], [13, 13], [5, 5, 5, 5, 13], [9, 12, 12]]
[[], [11, 13], [13, 13], [5, 5, 5, 12], [5, 9, 12]]
[[13], [13], [5, 5, 5, 5], [12, 12], [9, 13], [11]]
[[9], [13], [5, 13], [13], [5, 12], [5, 11], [5, 12]]
[[13], [13], [13], [5, 5], [5, 12], [9], [12], [5, 11]]
[[11], [13], [12], [12], [5, 5, 5], [], [13], [5, 9], [13]]
[[13], [5], [5, 5], [], [13], [13], [11], [12], [5, 9], [12]]
[[13], [11], [], [5, 5], [12], [5, 5], [13], [13], [12], [9], []]
-EndAllocation

Instance: [[1], [102], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 9, 12, 12, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[13, 13, 13], [6, 6, 6, 6, 6, 9, 12, 12]]
[[12, 13], [6, 6, 6, 6, 6, 12], [9, 13, 13]]
[[13], [6, 12, 12], [13, 13], [6, 6, 6, 6, 9]]
[[], [12, 12], [13, 13], [6, 6, 6, 6], [6, 9, 13]]
[[13], [12], [6, 13], [9, 13], [6, 12], [6, 6, 6]]
[[12], [6, 6, 6], [9], [6, 13], [13], [6, 13], [12]]
[[12], [6, 6], [13], [13], [6, 6], [6, 9], [12], [13]]
[[], [6, 9], [12], [12], [6, 6], [13], [13], [13], [6, 6]]
[[13], [6, 6], [13], [9], [12], [], [6], [6, 6], [12], [13]]
[[12], [6, 6], [], [6], [6, 6], [], [9], [13], [13], [12], [13]]
-EndAllocation

Instance: [[1], [101], 11]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [68, 45, 34, 28, 22, 20, 17, 16, 14, 13], Opt: [51, 34, 26, 21, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[13], [6, 13, 13], [13, 13], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [13, 13], [6, 6, 13], [13, 13]]
[[13], [13], [6, 13], [6, 13], [6, 13], [6, 6, 6]]
[[13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6]]
[[13], [6, 6], [13], [13], [6, 6], [13], [13], [6, 6]]
[[], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [13]]
[[13], [6, 6], [], [13], [13], [], [6, 6], [6, 6], [13], [13]]
[[13], [6, 6], [], [6, 6], [6, 6], [], [], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [120], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 7, 12, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [80, 53, 40, 32, 26, 24, 20, 18, 16, 14, 13], Opt: [60, 40, 30, 24, 20, 18, 15, 14, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 6, 7, 12, 12], [13, 13, 13, 13, 13, 13]]
[[5, 6, 7, 12, 12], [13, 13], [13, 13, 13, 13]]
[[5, 6, 7], [12, 12], [13, 13, 13], [13, 13, 13]]
[[5, 6, 7, 13], [13], [12, 12], [13, 13], [13, 13]]
[[5, 7, 12], [13, 13], [6, 13], [], [13, 13], [12, 13]]
[[12, 12], [7, 13], [13], [6, 13], [13], [13], [5, 13]]
[[5, 12], [6, 13], [13], [13], [13], [13], [13], [7, 12]]
[[6, 12], [13], [13], [13], [13], [13], [7], [5, 13], [12]]
[[12], [13], [13], [13], [13], [6], [5, 7], [13], [13], [12]]
[[12], [13], [13], [13], [13], [], [5, 7], [13], [12], [13], [6]]
[[12], [13], [13], [], [], [7], [5, 6], [13], [12], [13], [13], [13]]
-EndAllocation

Instance: [[1], [119], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [80, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13], Opt: [60, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[7, 12, 12, 12], [6, 6, 6, 6, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 12, 12], [7, 12, 13, 13]]
[[13], [12, 12, 13], [12, 13, 13], [6, 6, 6, 6, 7]]
[[12], [12, 13], [6, 6, 6, 6, 7], [12, 13], [13, 13]]
[[], [6, 6, 6, 7], [13, 13], [6, 13], [12, 13], [12, 12]]
[[13], [6, 13], [6, 12], [7, 12], [13], [6, 13], [6, 12]]
[[12], [13], [13], [6, 6, 6], [7, 12], [6, 13], [13], [12]]
[[13], [6, 12], [12], [6, 6, 6], [13], [12], [13], [13], [7]]
[[12], [13], [12], [7], [6, 6], [6, 6], [12], [13], [13], [13]]
[[], [13], [13], [13], [12], [13], [6, 6], [12], [12], [7], [6, 6]]
[[12], [7], [13], [], [6, 6], [12], [12], [13], [6, 6], [13], [13], []]
-EndAllocation

Instance: [[1], [118], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [78, 53, 40, 32, 26, 22, 20, 18, 16, 14, 13], Opt: [59, 40, 30, 24, 20, 17, 15, 14, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[12, 12, 12, 13], [6, 6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 12], [12, 12, 13, 13]]
[[13], [12, 12, 13], [12, 13, 13], [6, 6, 6, 6, 6]]
[[12], [12, 13], [6, 6, 6, 6, 6], [12, 13], [13, 13]]
[[], [6, 6, 6, 6], [13, 13], [6, 13], [12, 13], [12, 12]]
[[13], [6, 13], [6, 12], [6, 12], [13], [6, 13], [6, 12]]
[[12], [6, 13], [13], [6, 6, 6], [12], [6, 13], [13], [12]]
[[13], [6, 6], [12], [6, 6, 6], [13], [12], [12], [13], [13]]
[[12], [13], [12], [13], [6, 6], [6, 6], [12], [6], [13], [13]]
[[], [13], [13], [13], [12], [13], [6, 6], [12], [12], [6], [6, 6]]
[[12], [], [13], [13], [6, 6], [12], [12], [6], [6, 6], [13], [13], []]
-EndAllocation

Instance: [[1], [117], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 9, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [78, 52, 40, 32, 26, 22, 20, 17, 16, 14, 13], Opt: [59, 39, 30, 24, 20, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[6, 6, 6, 6, 6, 13], [9, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 9, 13]]
[[], [13, 13, 13], [6, 6, 6, 6, 6, 9], [13, 13, 13]]
[[13], [6, 6, 6, 9], [13, 13], [6, 6, 13], [13, 13]]
[[], [9, 13], [6, 13], [13, 13], [6, 6, 6, 6], [13, 13]]
[[13], [13], [6, 13], [6, 13], [9, 13], [13], [6, 6, 6]]
[[13], [6, 13], [6, 6, 6], [13], [13], [9], [13], [6, 13]]
[[13], [13], [13], [13], [13], [6, 6], [6, 9], [6, 6], [13]]
[[13], [6], [6, 6], [13], [13], [6, 6], [13], [9], [13], [13]]
[[13], [6, 6], [], [13], [6, 6], [13], [13], [13], [9], [13], [6]]
[[13], [13], [13], [], [6, 6], [13], [9], [], [13], [6, 6], [13], [6]]
-EndAllocation

Instance: [[1], [116], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 8, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [77, 52, 38, 32, 26, 22, 20, 17, 16, 14, 13], Opt: [58, 39, 29, 24, 20, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[6, 6, 6, 8, 13], [6, 6, 13, 13, 13, 13, 13]]
[[13, 13], [8, 13, 13, 13], [6, 6, 6, 6, 6, 13]]
[[6], [8, 13, 13], [6, 6, 13, 13], [6, 6, 13, 13]]
[[], [6, 6, 6, 6, 8], [13, 13], [6, 13, 13], [13, 13]]
[[], [13, 13], [6, 6], [13, 13], [6, 6, 6, 8], [13, 13]]
[[13], [13], [6, 13], [6, 13], [13], [8, 13], [6, 6, 6]]
[[13], [13], [6, 6, 6], [13], [13], [6, 6, 8], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [6, 8], [6, 6], [13]]
[[13], [6], [6, 6], [8], [13], [6, 6], [13], [13], [13], [13]]
[[13], [6, 8], [], [13], [6, 6], [13], [13], [13], [], [13], [6, 6]]
[[13], [13], [13], [], [6, 6], [6], [13], [], [13], [6, 6], [13], [8]]
-EndAllocation

Instance: [[1], [115], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 8, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [77, 52, 38, 30, 26, 22, 20, 17, 16, 14, 13], Opt: [58, 39, 29, 23, 20, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[6, 6, 6, 6, 6, 8], [12, 13, 13, 13, 13, 13]]
[[13, 13], [8, 13, 13, 13], [6, 6, 6, 6, 6, 12]]
[[6], [8, 13, 13], [6, 6, 6, 6, 13], [12, 13, 13]]
[[13], [6, 8, 12], [13, 13], [6, 6, 6, 6], [13, 13]]
[[], [6, 6, 13], [12], [13, 13], [6, 6, 6, 8], [13, 13]]
[[13], [13], [6, 6, 6], [6, 13], [13], [8, 13], [6, 12]]
[[12], [13], [6, 6, 6], [13], [13], [6, 6, 8], [13], [13]]
[[6, 6], [13], [13], [13], [13], [6, 6], [6, 8], [12], [13]]
[[13], [12], [6, 6], [6, 8], [13], [6, 6], [13], [13], [13], []]
[[13], [6, 8], [], [], [6, 6], [13], [13], [13], [6, 6], [13], [12]]
[[13], [13], [13], [], [6, 6], [], [13], [12], [6], [6, 6], [13], [8]]
-EndAllocation

Instance: [[1], [114], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 5, 5, 12, 12], [5, 5, 13, 13, 13, 13, 13]]
[[13, 13], [12, 12, 13, 13], [5, 5, 5, 5, 5, 13]]
[[13], [5, 5, 5, 5, 5, 13], [13, 13], [12, 12, 13]]
[[13], [13, 13], [12, 12], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [5, 5, 13], [13], [5, 13], [12, 12]]
[[13], [5, 13], [12], [5, 13], [5, 12], [5, 13], [5, 13]]
[[13], [13], [13], [5, 12], [13], [12], [5, 5, 5, 5], [13]]
[[13], [12], [13], [13], [5, 5, 5], [12], [13], [13], [5, 5]]
[[13], [13], [5, 5], [12], [13], [13], [12], [5, 5, 5], [13], []]
[[12], [12], [13], [5], [13], [5, 5], [5, 5], [13], [13], [], [13]]
[[12], [12], [13], [], [], [5], [5, 5], [13], [5, 5], [13], [13], [13]]
-EndAllocation

Instance: [[1], [113], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [76, 50, 38, 30, 25, 22, 20, 17, 16, 14, 13], Opt: [57, 38, 29, 23, 19, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[5, 12, 12, 12], [5, 5, 5, 5, 13, 13, 13, 13]]
[[13, 13], [12, 12, 12, 13], [5, 5, 5, 5, 5, 13]]
[[13], [5, 5, 5, 5, 5, 13], [13, 13], [12, 12, 12]]
[[13], [13, 13], [12, 12], [5, 5, 5, 5, 5], [12, 13]]
[[13], [13], [5, 5, 5, 5, 5], [12, 13], [13], [12, 12]]
[[13], [5, 13], [12], [5, 13], [12], [5, 13], [5, 5, 12]]
[[12], [13], [13], [5, 12], [13], [12], [5, 5, 5, 5], [13]]
[[13], [12], [13], [12], [5, 5, 5], [12], [13], [13], [5, 5]]
[[13], [13], [5, 5], [12], [12], [13], [12], [5, 5, 5], [13], []]
[[12], [12], [13], [5], [13], [5, 5], [5, 5], [12], [13], [], [13]]
[[12], [12], [12], [], [], [5], [5, 5], [13], [5, 5], [13], [13], [13]]
-EndAllocation

Instance: [[1], [112], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [74, 50, 37, 30, 25, 21, 18, 17, 16, 14, 13], Opt: [56, 38, 28, 23, 19, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[4, 4, 6, 13, 13], [4, 4, 12, 13, 13, 13, 13]]
[[13], [4, 4, 4, 12, 13, 13], [4, 6, 13, 13, 13]]
[[13], [4, 13, 13], [4, 4, 13, 13], [4, 6, 12, 13]]
[[13], [4, 4, 4, 4, 13], [13, 13], [13, 13], [6, 12]]
[[13], [4, 13], [12, 13], [6, 13], [4, 4, 4, 13], [13]]
[[13], [12], [13], [4, 4, 13], [13], [4, 4, 13], [6, 13]]
[[13], [12], [13], [4, 4, 4, 6], [13], [13], [13], [4, 13]]
[[13], [6], [13], [12], [13], [13], [13], [4, 4, 4, 4], [13]]
[[13], [13], [], [13], [13], [6], [12], [4, 4, 4, 4], [13], [13]]
[[12], [], [13], [6], [4], [13], [13], [13], [13], [4, 4, 4], [13]]
[[13], [4], [13], [4, 4, 4], [13], [6], [12], [], [13], [13], [], [13]]
-EndAllocation

Instance: [[1], [111], 12]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,12. UB Alg: [74, 49, 37, 30, 25, 21, 18, 17, 16, 14, 13], Opt: [56, 37, 28, 23, 19, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,12:
-StartAllocation
[[6, 6, 6, 6, 13], [6, 6, 11, 12, 13, 13, 13]]
[[13, 13], [12, 13, 13], [6, 6, 6, 6, 6, 6, 11]]
[[12], [13, 13], [11, 13, 13], [6, 6, 6, 6, 6, 6]]
[[13], [11, 13], [6, 13], [12, 13], [6, 6, 6, 6, 6]]
[[13], [13], [11, 12], [6, 6, 6, 6], [13], [6, 6, 13]]
[[13], [6, 12], [6, 11], [6, 13], [13], [13], [6, 6, 6]]
[[13], [12], [6, 11], [6, 6], [13], [6, 6, 6], [13], [13]]
[[6], [6, 6], [6, 6], [12], [6, 11], [13], [13], [13], [13]]
[[], [13], [6, 6], [13], [13], [6, 6], [12], [13], [6, 6], [11]]
[[12], [6, 6], [13], [6, 6], [11], [6, 6], [13], [], [13], [13], []]
[[13], [6, 6], [], [13], [], [6, 6], [12], [], [11], [13], [6, 6], [13]]
-EndAllocation

Instance: [[1], [130], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 12, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [86, 58, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13], Opt: [65, 44, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 5, 12, 12, 12], [5, 5, 9, 13, 13, 13, 13, 13]]
[[12, 12], [13, 13, 13, 13], [5, 5, 5, 5, 9, 12, 13]]
[[9], [12, 13, 13], [5, 5, 5, 5, 12, 12], [13, 13, 13]]
[[12], [9, 12, 13], [12, 13], [5, 5, 5, 5, 13], [13, 13]]
[[], [12, 13], [5, 5, 5, 5, 9], [12, 13], [12, 13], [13, 13]]
[[13], [9, 12], [12, 13], [12, 13], [13], [13], [5, 5, 5, 5]]
[[12], [12], [5, 5, 12], [5, 13], [13], [13], [5, 13], [9, 13]]
[[12], [5, 5, 9], [13], [13], [12], [13], [5, 13], [13], [5, 12]]
[[13], [13], [5, 12], [13], [9], [5, 5, 5], [12], [13], [12], [13]]
[[13], [12], [13], [13], [9], [12], [12], [5, 5, 5], [5], [13], [13]]
[[13], [13], [12], [12], [5, 5], [], [13], [12], [13], [9], [13], [5, 5]]
[[], [], [5, 5], [12], [5, 5], [13], [13], [13], [12], [12], [9], [13], [13]]
-EndAllocation

Instance: [[1], [129], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 12, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [86, 57, 44, 34, 29, 25, 22, 20, 17, 16, 14, 13], Opt: [65, 43, 33, 26, 22, 19, 17, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[12, 12, 12, 12], [5, 5, 5, 5, 9, 13, 13, 13, 13]]
[[12, 12], [13, 13, 13, 13], [5, 5, 5, 5, 9, 12, 12]]
[[9], [12, 12, 13], [5, 5, 5, 5, 12, 12], [13, 13, 13]]
[[12], [9, 12, 12], [12, 13], [5, 5, 5, 5, 13], [13, 13]]
[[], [12, 12], [5, 5, 5, 5, 9], [12, 13], [12, 13], [13, 13]]
[[13], [9, 12], [12, 12], [12, 13], [13], [13], [5, 5, 5, 5]]
[[12], [5, 5, 12], [13], [13], [9, 13], [13], [12], [5, 5, 12]]
[[12], [5, 5, 9], [13], [13], [12], [13], [5, 13], [12], [5, 12]]
[[13], [13], [5, 12], [], [5, 9], [5, 12], [5, 12], [13], [12], [13]]
[[13], [12], [12], [13], [9], [12], [12], [5, 5, 5], [5], [13], [13]]
[[13], [13], [12], [12], [5, 5], [], [12], [12], [13], [9], [13], [5, 5]]
[[], [], [5, 5], [12], [5, 5], [13], [13], [13], [12], [12], [12], [9], [13]]
-EndAllocation

Instance: [[1], [128], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 8, 11, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[8, 11, 12, 12], [5, 5, 5, 5, 13, 13, 13, 13, 13]]
[[5, 5, 5], [8, 11, 12, 12, 13], [5, 13, 13, 13, 13]]
[[5, 5], [13, 13, 13], [5, 11, 12, 12], [5, 8, 13, 13]]
[[13], [13, 13], [5, 5, 5, 5, 11], [8, 13, 13], [12, 12]]
[[13], [5, 5, 5, 5], [8, 13], [11, 13], [13, 13], [12, 12]]
[[13], [11, 13], [8, 13], [13], [12, 12], [13], [5, 5, 5, 5]]
[[13], [5, 13], [13], [5, 13], [5, 12], [8, 13], [11], [5, 12]]
[[13], [13], [8, 12], [12], [5, 5, 5, 5], [13], [11], [13], [13]]
[[13], [13], [13], [13], [5, 5, 5], [8], [12], [12], [5, 11], [13]]
[[13], [12], [5, 5, 5], [13], [13], [13], [5, 11], [13], [], [12], [8]]
[[], [5, 5], [13], [13], [13], [11], [5, 5], [13], [8], [12], [12], [13]]
[[13], [12], [], [13], [5, 5], [13], [5, 5], [13], [], [12], [13], [8], [11]]
-EndAllocation

Instance: [[1], [127], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 9, 11, 11, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [85, 57, 42, 34, 29, 25, 21, 20, 17, 16, 14, 13], Opt: [64, 43, 32, 26, 22, 19, 16, 15, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[9, 11, 11, 12], [5, 5, 5, 5, 12, 13, 13, 13, 13]]
[[5, 5, 11], [5, 11, 12, 12, 13], [5, 9, 13, 13, 13]]
[[12], [13, 13, 13], [11, 11, 12], [5, 5, 5, 5, 9, 13]]
[[13], [13, 13], [5, 5, 5, 5, 11], [11, 13], [9, 12, 12]]
[[13], [5, 5, 5, 5], [9, 13], [11, 11], [13, 13], [12, 12]]
[[13], [11, 11], [], [12, 13], [12, 13], [9, 13], [5, 5, 5, 5]]
[[12], [13], [13], [5, 13], [5, 12], [13], [9, 11], [5, 5, 11]]
[[13], [12], [12], [5, 11], [13], [13], [5, 11], [5, 5, 9], [13]]
[[13], [9], [13], [11], [5, 5, 5], [13], [12], [12], [5, 11], [13]]
[[13], [12], [5, 11], [13], [5, 5], [13], [5, 11], [9], [], [12], [13]]
[[], [5, 5], [13], [12], [11], [11], [5, 5], [13], [13], [9], [12], [13]]
[[11], [12], [], [13], [5, 5], [11], [5, 5], [13], [9], [13], [13], [], [12]]
-EndAllocation

Instance: [[1], [126], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 5, 6, 7, 9, 10, 11, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [84, 56, 42, 34, 28, 24, 21, 18, 17, 16, 14, 13], Opt: [63, 42, 32, 26, 21, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[13, 13, 13, 13], [2, 5, 6, 7, 9, 10, 11, 12, 12]]
[[12, 12], [2, 6, 13, 13, 13], [5, 7, 9, 10, 11, 13]]
[[13], [7, 11, 12, 12], [2, 6, 13, 13], [5, 9, 10, 13]]
[[], [5, 7, 9, 13], [10, 12, 12], [6, 11, 13], [2, 13, 13]]
[[], [2, 11, 13], [13, 13], [5, 6, 7, 9], [12, 13], [10, 12]]
[[13], [13], [5, 7, 9], [11, 12], [10, 13], [2, 6, 13], [12]]
[[13], [5, 13], [7, 12], [12], [10, 11], [13], [2, 6, 9], [13]]
[[10], [13], [13], [13], [2, 6, 9], [5, 13], [7, 11], [12], [12]]
[[11], [10], [12], [2, 9], [13], [6, 7], [13], [5, 12], [13], [13]]
[[13], [12], [2, 13], [12], [6, 7], [11], [], [10], [13], [13], [5, 9]]
[[11], [13], [13], [12], [13], [2], [9], [12], [10], [7], [13], [5, 6]]
[[7], [13], [12], [5], [13], [2], [6], [9], [12], [10], [13], [11], [13]]
-EndAllocation

Instance: [[1], [125], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 7, 7, 8, 10, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [84, 56, 42, 33, 28, 24, 21, 18, 17, 16, 14, 13], Opt: [63, 42, 32, 25, 21, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[5, 10, 13, 13, 13, 13], [7, 7, 8, 12, 12, 12]]
[[5, 10, 13], [8, 12, 12, 12], [7, 7, 13, 13, 13]]
[[5, 12, 12, 12], [7, 7, 8], [10, 13, 13], [13, 13]]
[[7, 12, 12], [10, 13], [5, 7, 12], [8, 13], [13, 13]]
[[5, 7, 12], [13, 13], [12], [7, 10], [8, 13], [12, 13]]
[[10, 13], [7, 13], [5, 7, 12], [13], [13], [8], [12, 12]]
[[7, 13], [8, 12], [13], [10], [5, 12], [13], [13], [7, 12]]
[[5, 13], [12], [13], [12], [13], [12], [7, 8], [13], [7, 10]]
[[7, 8], [13], [13], [12], [], [5, 12], [13], [12], [7, 10], [13]]
[[5, 7], [12], [10], [13], [], [12], [13], [13], [12], [7, 8], [13]]
[[13], [5], [13], [13], [13], [10], [12], [8], [7], [7], [12], [12]]
[[5], [13], [13], [7], [10], [13], [12], [8], [12], [13], [7], [], [12]]
-EndAllocation

Instance: [[1], [124], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [82, 56, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13], Opt: [62, 42, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 10, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 13], [10, 13, 13, 13]]
[[13], [13, 13, 13], [10, 13, 13], [6, 6, 6, 6, 6, 6]]
[[13], [6, 6, 6, 6, 6], [13, 13], [6, 13, 13], [10, 13]]
[[], [6, 6, 13], [10, 13], [13, 13], [13, 13], [6, 6, 6, 6]]
[[13], [10, 13], [6, 13], [6, 6, 6, 6], [6, 13], [13], [13]]
[[13], [6, 13], [6, 6, 6], [13], [6, 10], [13], [6, 13], [13]]
[[13], [13], [13], [10], [13], [13], [6, 6, 6], [13], [6, 6, 6]]
[[13], [6, 6], [13], [13], [13], [13], [10], [6, 6], [13], [6, 6]]
[[13], [13], [13], [13], [], [6, 6], [6, 10], [6], [6, 6], [13], [13]]
[[13], [13], [10], [13], [6, 6], [13], [], [13], [], [6, 6], [6, 6], [13]]
[[13], [13], [6, 6], [], [6, 6], [13], [13], [13], [], [10], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [123], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 9, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [82, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13], Opt: [62, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 9, 13, 13]]
[[9, 13], [6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [6, 13, 13], [6, 6, 6, 6, 6, 9]]
[[9], [6, 6, 6, 6, 6], [13, 13], [6, 13, 13], [13, 13]]
[[], [6, 6, 13], [13, 13], [9, 13], [13, 13], [6, 6, 6, 6]]
[[13], [13], [6, 13], [6, 6, 9], [6, 13], [6, 13], [6, 13]]
[[13], [6, 6, 9], [6, 6, 6], [13], [6, 13], [13], [13], [13]]
[[13], [13], [13], [9], [13], [13], [6, 6, 6], [13], [6, 6, 6]]
[[13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [9], [6, 6]]
[[13], [13], [13], [13], [], [6, 6], [6, 6], [6], [6, 9], [13], [13]]
[[13], [13], [], [13], [6, 6], [13], [], [13], [9], [6, 6], [6, 6], [13]]
[[13], [], [6, 6], [9], [6, 6], [13], [13], [13], [], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [122], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 12, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 16, 14, 13], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 4, 4, 4, 4, 12, 12], [13, 13, 13, 13, 13, 13]]
[[13, 13], [4, 4, 4, 4, 4, 13, 13], [12, 12, 13, 13]]
[[12], [4, 4, 4, 4, 4, 12], [13, 13, 13], [13, 13, 13]]
[[13], [4, 4, 4, 4, 4, 13], [12, 12], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [12, 12], [4, 4, 4, 4, 4], [13, 13]]
[[13], [13], [12, 12], [4, 4, 13], [4, 13], [4, 4, 13], [13]]
[[13], [4, 13], [13], [4, 4, 12], [13], [13], [4, 4, 13], [12]]
[[13], [4, 4, 4, 4], [12], [13], [13], [13], [13], [12], [4, 13]]
[[], [13], [13], [4, 13], [12], [4, 13], [4, 13], [4, 13], [], [4, 12]]
[[13], [13], [13], [13], [], [12], [13], [12], [4, 4, 4, 4], [4], [13]]
[[13], [13], [12], [4, 4], [13], [13], [4, 4, 4], [12], [13], [], [], [13]]
[[13], [12], [4, 4, 4], [], [13], [13], [13], [13], [], [12], [], [4, 4], [13]]
-EndAllocation

Instance: [[1], [121], 13]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 12, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,13. UB Alg: [81, 54, 41, 33, 28, 24, 21, 18, 17, 14, 14, 13], Opt: [61, 41, 31, 25, 21, 18, 16, 14, 13, 11, 11, 10]
Allocation for m' = 2,...,13:
-StartAllocation
[[4, 12, 12, 12], [4, 4, 4, 4, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4], [13, 13, 13, 13], [4, 12, 12, 12, 13]]
[[13], [12, 12, 12], [4, 4, 4, 4, 4, 13], [13, 13, 13]]
[[12], [4, 4, 4, 4, 4, 12], [13, 13], [13, 13], [12, 13]]
[[], [4, 4, 4, 4, 4], [12, 12], [12, 13], [13, 13], [13, 13]]
[[13], [13], [12, 12], [13], [13], [4, 4, 13], [4, 4, 4, 12]]
[[12], [13], [4, 4, 12], [12], [13], [4, 4, 13], [13], [4, 13]]
[[12], [13], [13], [13], [4, 13], [4, 4, 4, 4], [13], [12], [12]]
[[], [13], [4, 13], [12], [13], [13], [4, 4, 4], [13], [4, 12], [12]]
[[13], [13], [13], [12], [4, 4, 4], [12], [4, 4], [12], [13], [13], []]
[[13], [13], [], [4, 4, 4], [12], [], [13], [12], [4, 4], [13], [12], [13]]
[[], [], [13], [4, 4, 4], [13], [13], [4, 4], [13], [12], [12], [12], [13], []]
-EndAllocation

Instance: [[1], [140], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 9, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 9, 9, 13, 13], [3, 12, 12, 13, 13, 13, 13, 13]]
[[4, 13, 13, 13], [13, 13, 13, 13], [3, 9, 9, 12, 12]]
[[3, 4, 9, 9, 13], [12, 12], [13, 13, 13], [13, 13, 13]]
[[3, 4, 13, 13], [13, 13], [12, 12], [9, 13, 13], [9, 13]]
[[3, 4, 9, 9], [12, 12], [13, 13], [13, 13], [13, 13], [13]]
[[4, 13], [3, 9, 13], [12, 12], [9], [13], [13, 13], [13, 13]]
[[9, 13], [3, 4, 13], [13], [13], [12, 12], [13], [9, 13], [13]]
[[3, 4, 13], [13], [13], [13], [9, 12], [13], [13], [9, 12], [13]]
[[3, 12], [13], [13], [13], [13], [13], [13], [12], [4, 13], [9, 9]]
[[3, 12], [12], [13], [13], [13], [13], [13], [13], [9], [13], [4, 9]]
[[3, 12], [13], [13], [13], [13], [13], [13], [9], [9], [13], [12], [4]]
[[3, 4], [12], [13], [13], [], [13], [13], [13], [9], [9], [13], [12], [13]]
[[3, 4], [12], [13], [13], [13], [13], [13], [13], [13], [], [], [9], [9], [12]]
-EndAllocation

Instance: [[1], [139], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [93, 62, 46, 37, 32, 26, 24, 21, 18, 17, 16, 14, 13], Opt: [70, 47, 35, 28, 24, 20, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 6, 9, 13, 13, 13], [5, 12, 12, 13, 13, 13, 13]]
[[4, 5, 6, 9, 13], [13, 13, 13, 13], [12, 12, 13, 13]]
[[4, 6, 9], [5, 12, 12, 13], [13, 13, 13], [13, 13, 13]]
[[4, 5, 6, 9, 13], [13, 13], [12, 12], [13, 13], [13, 13]]
[[4, 6, 9, 13], [12, 12], [5, 13, 13], [], [13, 13], [13, 13]]
[[4, 5, 6, 9], [13, 13], [12, 12], [], [13], [13, 13], [13, 13]]
[[9, 13], [13], [5, 6, 13], [13], [12, 12], [13], [13], [4, 13]]
[[9, 12], [13], [6, 13], [13], [13], [4, 13], [13], [5, 12], [13]]
[[6, 12], [5, 13], [13], [13], [4, 13], [13], [13], [12], [9], [13]]
[[5, 12], [12], [13], [13], [13], [13], [13], [13], [], [6, 9], [4, 13]]
[[4, 12], [13], [13], [13], [13], [13], [13], [], [9], [5, 6], [12], [13]]
[[4, 6], [12], [13], [13], [13], [13], [13], [13], [12], [], [], [5, 9], [13]]
[[12], [12], [13], [13], [13], [13], [13], [13], [5], [], [], [9], [4, 6], [13]]
-EndAllocation

Instance: [[1], [138], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 8, 8, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[1, 6, 8, 8, 12, 12], [13, 13, 13, 13, 13, 13, 13]]
[[1, 6, 13, 13, 13, 13], [8, 8, 13], [12, 12, 13, 13]]
[[1, 6, 13, 13, 13], [12, 12], [13, 13, 13], [8, 8, 13]]
[[1, 6, 13, 13], [13, 13], [12, 12], [13, 13], [8, 8, 13]]
[[1, 6, 13], [12, 12], [13, 13], [13, 13], [8, 8], [13, 13]]
[[1, 6, 13], [13, 13], [12, 12], [8, 8], [], [13, 13], [13, 13]]
[[1, 6, 13], [8, 13], [13], [13], [13], [13], [8, 13], [12, 12]]
[[1, 6, 13], [8, 13], [12], [13], [13], [13], [13], [12], [8, 13]]
[[1, 8, 8], [6, 12], [13], [13], [13], [13], [13], [13], [12], [13]]
[[1, 13], [8, 8], [13], [13], [13], [13], [13], [13], [12], [12], [6]]
[[1, 6, 8], [13], [13], [13], [13], [13], [13], [], [13], [12], [12], [8]]
[[1, 8], [], [12], [13], [13], [13], [13], [13], [13], [13], [], [12], [6, 8]]
[[1, 6], [12], [13], [13], [13], [13], [], [13], [13], [], [8], [13], [12], [8]]
-EndAllocation

Instance: [[1], [137], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 9, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [92, 61, 46, 37, 30, 26, 24, 21, 18, 17, 16, 14, 13], Opt: [69, 46, 35, 28, 23, 20, 18, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[4, 13, 13, 13, 13, 13, 13], [9, 9, 12, 12, 13]]
[[4, 13, 13, 13, 13], [9, 9, 13], [12, 12, 13, 13]]
[[4, 13, 13, 13], [12, 12], [13, 13, 13], [9, 9, 13]]
[[4, 13, 13], [13, 13], [12, 12], [13, 13], [9, 9, 13]]
[[4, 13], [12, 12], [13, 13], [9, 9], [13, 13], [13, 13]]
[[4, 13], [13, 13], [12, 12], [13, 13], [], [13, 13], [9, 9]]
[[9, 13], [4, 13], [12, 12], [9, 13], [13], [13], [13], [13]]
[[4, 13], [9, 12], [13], [13], [9, 12], [13], [13], [13], [13]]
[[4, 13], [12], [13], [13], [13], [13], [13], [13], [12], [9, 9]]
[[4, 9], [12], [9], [13], [13], [13], [13], [13], [12], [13], [13]]
[[4, 12], [9], [13], [13], [13], [13], [13], [], [13], [13], [12], [9]]
[[12], [12], [4, 9], [13], [13], [13], [13], [13], [], [], [13], [13], [9]]
[[12], [13], [13], [4], [13], [13], [13], [13], [], [9], [], [12], [13], [9]]
-EndAllocation

Instance: [[1], [136], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 10, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [90, 61, 45, 37, 30, 26, 22, 21, 18, 17, 16, 14, 13], Opt: [68, 46, 34, 28, 23, 20, 17, 16, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[10, 13, 13, 13], [6, 6, 6, 6, 6, 6, 12, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 12, 13], [10, 13, 13, 13]]
[[10, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [12, 13, 13]]
[[12], [13, 13], [10, 13, 13], [13, 13], [6, 6, 6, 6, 6, 6]]
[[13], [10, 12], [6, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13], [10, 13], [6, 6, 6, 6], [13, 13], [6, 6, 13], [12, 13]]
[[13], [6, 13], [6, 6, 6], [13], [10, 12], [6, 13], [6, 13], [13]]
[[13], [6, 13], [13], [6, 13], [6, 6, 6], [6, 12], [13], [10], [13]]
[[13], [6, 6], [6, 12], [13], [13], [6, 6, 6], [13], [13], [13], [10]]
[[13], [13], [13], [10], [13], [13], [6, 6], [13], [12], [6, 6], [6, 6]]
[[13], [13], [13], [6, 6], [], [6, 6], [10], [6, 6], [12], [13], [13], [13]]
[[13], [13], [13], [6, 6], [], [13], [13], [6, 6], [13], [], [6, 6], [12], [10]]
[[12], [13], [6, 6], [], [10], [13], [6, 6], [13], [6, 6], [13], [], [13], [], [13]]
-EndAllocation

Instance: [[1], [135], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 10, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [90, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13], Opt: [68, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[10, 13, 13, 13], [6, 6, 6, 6, 6, 6, 12, 12, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 12, 12], [10, 13, 13, 13]]
[[10, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [12, 12, 13]]
[[12], [12, 13], [10, 13, 13], [13, 13], [6, 6, 6, 6, 6, 6]]
[[13], [12, 12], [6, 13], [10, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13], [10, 13], [6, 6, 6, 6], [13, 13], [6, 6, 13], [12, 12]]
[[13], [10, 12], [6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [12]]
[[13], [6, 13], [13], [6, 13], [6, 6, 6], [6, 12], [12], [10], [13]]
[[13], [6, 6, 6], [6, 12], [13], [6], [6, 12], [13], [13], [13], [10]]
[[13], [13], [13], [10], [13], [13], [6, 6], [12], [12], [6, 6], [6, 6]]
[[13], [13], [13], [6, 6], [], [12], [6, 10], [6, 6], [12], [13], [13], [6]]
[[13], [13], [13], [6, 6], [], [13], [12], [6, 6], [13], [], [6, 6], [12], [10]]
[[12], [13], [6, 6], [12], [10], [13], [6, 6], [13], [6, 6], [13], [], [13], [], []]
-EndAllocation

Instance: [[1], [134], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 10, 11, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [89, 60, 45, 36, 30, 26, 22, 20, 18, 17, 16, 14, 13], Opt: [67, 45, 34, 27, 23, 20, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[10, 11, 13, 13], [6, 6, 6, 6, 6, 6, 12, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 11, 12], [10, 13, 13, 13]]
[[10, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [11, 12, 13]]
[[12], [13, 13], [10, 11, 13], [13, 13], [6, 6, 6, 6, 6, 6]]
[[13], [10, 12], [6, 6, 6], [13, 13], [6, 6, 6, 11], [13, 13]]
[[], [13], [10, 13], [6, 6, 6, 6], [13, 13], [6, 6, 13], [11, 12]]
[[13], [6, 13], [6, 6, 6], [13], [10, 12], [6, 11], [6, 13], [13]]
[[], [6, 13], [6, 13], [6, 13], [6, 11], [6, 12], [13], [10], [6, 13]]
[[13], [6, 6], [6, 12], [13], [11], [6, 6, 6], [13], [13], [13], [10]]
[[13], [13], [13], [10], [13], [13], [6, 6], [11], [12], [6, 6], [6, 6]]
[[13], [13], [13], [6, 6], [], [6, 6], [10], [6, 6], [12], [13], [13], [11]]
[[13], [13], [], [6, 6], [], [13], [13], [6, 6], [13], [11], [6, 6], [12], [10]]
[[12], [13], [6, 6], [], [10], [13], [6, 6], [13], [6, 6], [13], [11], [13], [], []]
-EndAllocation

Instance: [[1], [133], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 7, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [89, 60, 45, 36, 30, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [67, 45, 34, 27, 23, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[1, 9, 12, 13, 13, 13, 13, 13], [5, 7, 10, 11, 13]]
[[1, 7, 9, 12], [10, 11, 13, 13, 13], [5, 13, 13, 13]]
[[1, 7, 9, 10, 11], [12], [13, 13, 13], [5, 13, 13, 13]]
[[1, 5, 7, 9, 10], [13, 13], [12, 13], [13, 13], [11, 13]]
[[1, 5, 7, 9], [12], [13, 13], [13, 13], [11, 13], [10, 13]]
[[1, 5, 7, 9], [10, 13], [11, 13], [13], [13], [12, 13], [13]]
[[1, 9, 11], [5, 13], [13], [7, 13], [10, 12], [13], [13], [13]]
[[1, 5, 11], [7, 13], [12], [9, 10], [13], [13], [13], [13], [13]]
[[1, 5, 12], [7, 10], [13], [13], [13], [13], [13], [13], [9], [11]]
[[1, 5, 7], [10], [13], [13], [13], [11], [13], [13], [13], [12], [9]]
[[1, 5, 10], [11], [13], [13], [13], [13], [13], [], [], [13], [12], [7, 9]]
[[1, 5, 7], [9], [13], [13], [13], [13], [13], [13], [], [], [12], [11], [10]]
[[1, 10], [11], [13], [13], [13], [13], [13], [13], [], [], [], [12], [9], [5, 7]]
-EndAllocation

Instance: [[1], [132], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 3, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[12, 13, 13, 13], [3, 3, 3, 3, 9, 10, 11, 13, 13, 13]]
[[13, 13], [3, 3, 3, 10, 12, 13, 13], [3, 9, 11, 13, 13]]
[[13, 13], [3, 3, 3, 3, 10, 13], [13, 13, 13], [9, 11, 12]]
[[13], [10, 13, 13], [9, 11, 12], [13, 13], [3, 3, 3, 3, 13]]
[[], [9, 13], [10, 13], [3, 13, 13], [3, 3, 11, 12], [3, 13, 13]]
[[13], [12, 13], [9, 13], [], [10, 13], [3, 3, 3, 3, 13], [11, 13]]
[[13], [13], [3, 13], [10, 11], [13], [13], [3, 3, 3, 12], [9, 13]]
[[12], [13], [13], [3, 13], [13], [13], [3, 3, 3, 10], [13], [9, 11]]
[[13], [13], [3, 3, 10], [13], [13], [9], [13], [13], [12], [3, 3, 11]]
[[13], [9], [10], [13], [13], [3, 3, 3, 3], [13], [13], [13], [12], [11]]
[[12], [13], [13], [13], [13], [10], [3, 3, 3, 3], [9], [11], [], [13], [13]]
[[13], [13], [10], [9], [12], [13], [11], [], [13], [13], [13], [], [3, 3, 3, 3]]
[[13], [13], [10], [], [], [13], [13], [], [12], [13], [9], [3, 3, 3, 3], [11], [13]]
-EndAllocation

Instance: [[1], [131], 14]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 6, 8, 8, 8, 11, 12, 12, 12, 13, 13, 13, 13]; Results for m' = 2,...,14. UB Alg: [88, 58, 44, 36, 29, 25, 22, 20, 18, 16, 14, 14, 13], Opt: [66, 44, 33, 27, 22, 19, 17, 15, 14, 12, 11, 11, 10]
Allocation for m' = 2,...,14:
-StartAllocation
[[8, 8, 8, 12, 12, 12], [2, 6, 11, 13, 13, 13, 13]]
[[2, 8, 11], [8, 8, 12, 12, 12], [6, 13, 13, 13, 13]]
[[2, 12, 12, 12], [8, 8, 8], [13, 13, 13], [6, 11, 13]]
[[2, 8, 8, 8], [12, 13], [13], [11, 12, 12], [6, 13, 13]]
[[2, 13, 13], [12, 12], [13, 13], [6], [11, 12], [8, 8, 8]]
[[2, 6, 8, 8], [8], [13], [11, 13], [13], [12, 13], [12, 12]]
[[2, 8, 12], [8, 13], [6, 11], [12], [13], [8, 12], [13], [13]]
[[2, 13], [6, 12], [8, 8], [12], [13], [13], [11], [13], [8, 12]]
[[2, 12], [8, 8], [13], [13], [13], [12], [13], [11], [8], [6, 12]]
[[2, 12], [12], [13], [13], [13], [13], [], [11], [6, 8], [8, 8], [12]]
[[2, 12], [6, 8], [13], [13], [13], [13], [], [8], [12], [12], [11], [8]]
[[2, 12], [12], [13], [13], [13], [13], [11], [12], [8], [], [8], [6], [8]]
[[12], [12], [2, 8], [8], [6], [13], [13], [13], [13], [], [], [11], [8], [12]]
-EndAllocation

Instance: [[1], [150], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 7, 10, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[5, 7, 10, 10, 11, 11], [5, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [10, 10, 11, 11], [5, 5, 7, 13, 13, 13]]
[[5, 5, 13], [13, 13, 13], [10, 10, 11, 11], [7, 13, 13, 13]]
[[5, 5, 11, 11], [13, 13, 13], [10, 10], [13, 13], [7, 13, 13]]
[[5, 5, 11, 11], [13, 13], [10, 10, 13], [], [13, 13], [7, 13, 13]]
[[5, 5, 13], [7, 13], [10, 10], [13], [13, 13], [13, 13], [11, 11]]
[[5, 5, 13], [7, 13], [11, 13], [13], [13], [10, 10], [13], [11, 13]]
[[5, 13], [7, 13], [13], [13], [13], [11, 11], [13], [10, 10], [5, 13]]
[[5, 13], [7, 13], [13], [11], [11], [13], [13], [13], [5, 13], [10, 10]]
[[5, 13], [7, 10], [5, 13], [11], [13], [13], [11], [13], [10], [13], [13]]
[[5, 11], [5], [13], [13], [13], [13], [13], [13], [11], [13], [10], [7, 10]]
[[5, 5], [13], [13], [13], [13], [13], [10], [11], [11], [10], [13], [13], [7]]
[[5, 7], [13], [10], [13], [13], [11], [13], [13], [13], [], [10], [13], [11], [5]]
[[11], [5, 7], [13], [5], [13], [13], [13], [13], [13], [], [11], [13], [10], [10], []]
-EndAllocation

Instance: [[1], [149], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 8, 9, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [100, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [75, 50, 38, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[8, 9, 10, 12, 13], [6, 13, 13, 13, 13, 13, 13, 13]]
[[12, 13, 13, 13, 13], [8, 9, 10], [6, 13, 13, 13, 13]]
[[12], [13, 13, 13], [10, 13, 13, 13], [6, 8, 9, 13, 13]]
[[13], [13, 13, 13], [9, 10, 12], [8, 13, 13], [6, 13, 13]]
[[8, 9, 12], [6, 13, 13], [10], [13, 13], [13, 13], [13, 13]]
[[13, 13], [9, 13], [6, 10, 13], [], [13, 13], [13, 13], [8, 12]]
[[8, 13], [6, 13], [12, 13], [9, 13], [13], [10, 13], [13], [13]]
[[8, 13], [9, 13], [13], [13], [13], [10, 12], [13], [6, 13], [13]]
[[8, 12], [6, 13], [13], [13], [13], [13], [13], [9, 10], [13], [13]]
[[6, 9], [12], [13], [13], [13], [13], [13], [13], [13], [13], [8, 10]]
[[12], [13], [13], [6, 8], [13], [13], [13], [10], [13], [13], [9], [13]]
[[6, 8], [12], [13], [13], [13], [13], [13], [13], [10], [], [9], [13], [13]]
[[12], [6, 8], [13], [13], [13], [13], [13], [13], [], [], [10], [13], [9], [13]]
[[6], [9], [13], [13], [13], [13], [13], [13], [8], [], [], [13], [10], [12], [13]]
-EndAllocation

Instance: [[1], [148], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 8, 8, 8, 9, 11, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [98, 66, 49, 40, 33, 29, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [74, 50, 37, 30, 25, 22, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[1, 9, 11, 12, 13, 13], [8, 8, 8, 13, 13, 13, 13, 13]]
[[1, 13, 13, 13, 13, 13], [8, 8, 8], [9, 11, 12, 13, 13]]
[[1, 8, 8, 8, 12], [13, 13, 13], [11, 13], [9, 13, 13, 13]]
[[1, 9, 13], [13, 13, 13], [12], [13, 13, 13], [8, 8, 8, 11]]
[[1, 12], [8, 8, 8, 9], [13, 13], [13, 13], [11, 13], [13, 13]]
[[1, 13, 13], [8, 8, 8], [13, 13], [], [13, 13], [9, 13], [11, 12]]
[[1, 8, 13], [8, 13], [8, 13], [12, 13], [13], [11, 13], [13], [9]]
[[1, 8, 13], [8, 13], [8, 13], [13], [13], [11], [13], [12], [9, 13]]
[[9, 11], [1, 13], [13], [13], [8, 12], [13], [13], [8, 8], [13], [13]]
[[1, 8, 8], [12], [13], [13], [13], [13], [13], [13], [11], [8, 9], [13]]
[[8, 9], [1, 8, 8], [13], [13], [13], [13], [13], [13], [11], [13], [12], []]
[[8, 8], [1, 12], [13], [13], [13], [13], [13], [13], [9], [8], [11], [13], []]
[[1, 13], [12], [13], [13], [8], [11], [13], [13], [8], [], [13], [9], [8], [13]]
[[1, 8], [13], [12], [13], [13], [13], [13], [13], [9], [], [11], [], [13], [8], [8]]
-EndAllocation

Instance: [[1], [147], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [98, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [74, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[6, 6, 6, 6, 6, 9, 11], [6, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6], [13, 13, 13, 13, 13], [6, 6, 6, 9, 11, 13, 13]]
[[13], [13, 13, 13], [9, 13, 13, 13], [6, 6, 6, 6, 6, 6, 11]]
[[], [11, 13, 13], [9, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[13], [13, 13], [6, 13, 13], [6, 6, 6, 11], [13, 13], [6, 6, 9]]
[[], [13, 13], [6, 6, 6, 6], [9, 13], [13, 13], [6, 6, 11], [13, 13]]
[[13], [11, 13], [9, 13], [6, 6, 13], [13], [13], [6, 6, 6, 6], [13]]
[[13], [6, 13], [6, 6, 6], [6, 11], [13], [13], [6, 13], [9, 13], [13]]
[[13], [9], [6, 13], [13], [13], [11], [13], [6, 13], [6, 6, 6], [6, 13]]
[[13], [11], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [9], [13], [13]]
[[13], [13], [], [13], [13], [13], [6, 9], [6, 6], [13], [13], [6, 11], [6, 6]]
[[13], [6, 6], [13], [6, 6], [9], [13], [6, 6], [13], [13], [11], [], [13], [13]]
[[13], [], [13], [6, 6], [13], [6, 6], [11], [13], [], [13], [13], [13], [9], [6, 6]]
[[13], [13], [], [], [13], [], [9], [13], [11], [6, 6], [6, 6], [13], [13], [13], [6, 6]]
-EndAllocation

Instance: [[1], [146], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [97, 65, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [73, 49, 37, 30, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 13], [6, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6], [13, 13, 13, 13, 13], [6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[], [13, 13, 13], [6, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13], [6, 13, 13], [6, 6, 6, 6, 6], [13, 13], [6, 13, 13]]
[[], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6], [13, 13]]
[[13], [13], [6, 13], [6, 6, 13], [6, 6, 13], [13], [6, 6, 13], [13]]
[[13], [6, 13], [6, 6, 6], [6, 13], [13], [13], [6, 13], [6, 13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [6, 13]]
[[13], [13], [6, 6, 6], [13], [13], [6], [13], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [6, 6]]
[[13], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [], [13], [6]]
[[13], [], [13], [6, 6], [6], [6, 6], [13], [13], [13], [13], [13], [13], [], [6, 6]]
[[13], [13], [], [13], [13], [], [13], [13], [], [6, 6], [6, 6], [6], [13], [13], [6, 6]]
-EndAllocation

Instance: [[1], [145], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [97, 65, 49, 38, 33, 28, 25, 22, 20, 18, 17, 16, 14, 13], Opt: [73, 49, 37, 29, 25, 21, 19, 17, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 12], [6, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6], [13, 13, 13, 13, 13], [6, 6, 6, 6, 12, 13, 13]]
[[13, 13], [12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13], [12, 13, 13], [6, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 13, 13], [6, 6, 6, 6, 6], [12, 13], [6, 13, 13]]
[[], [13, 13], [6, 6, 6, 6], [12, 13], [13, 13], [6, 6, 6], [13, 13]]
[[13], [13], [6, 13], [6, 6, 13], [12, 13], [13], [6, 6, 6, 6], [13]]
[[13], [6, 13], [6, 6, 6], [6, 12], [13], [13], [6, 13], [6, 13], [13]]
[[13], [13], [13], [13], [13], [12], [13], [6, 6, 6], [6, 6, 6], [6, 13]]
[[13], [13], [6, 6, 6], [13], [13], [6], [13], [6, 6, 6], [12], [13], [13]]
[[13], [13], [6], [13], [12], [13], [6, 6], [6, 6], [13], [13], [13], [6, 6]]
[[13], [12], [13], [6, 6], [13], [13], [6, 6], [13], [13], [6, 6], [], [13], [6]]
[[13], [], [13], [6, 6], [6], [6, 6], [13], [13], [13], [13], [13], [12], [], [6, 6]]
[[13], [13], [], [13], [13], [], [13], [13], [], [6, 6], [6, 6], [6], [12], [13], [6, 6]]
-EndAllocation

Instance: [[1], [144], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 18, 16, 16, 14, 13], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 14, 12, 12, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[9, 13, 13, 13], [4, 4, 4, 4, 4, 12, 12, 13, 13, 13, 13]]
[[4, 13], [4, 9, 12, 12, 13, 13], [4, 4, 4, 13, 13, 13, 13]]
[[13, 13], [4, 4, 4, 4, 4, 9, 12], [13, 13, 13], [12, 13, 13]]
[[], [4, 4, 13, 13], [9, 13, 13], [12, 12, 13], [4, 4, 4, 13, 13]]
[[13, 13], [4, 4, 4, 4, 4], [9, 12], [13, 13], [13, 13], [12, 13]]
[[], [4, 13], [13, 13], [13, 13], [13, 13], [9, 12], [4, 4, 4, 4, 12]]
[[13], [4, 4, 13], [13], [4, 4, 13], [13], [9, 13], [4, 13], [12, 12]]
[[13], [9, 12], [13], [13], [4, 13], [13], [4, 4, 12], [4, 4, 13], [13]]
[[13], [4, 12], [13], [4, 4, 9], [13], [13], [4, 13], [12], [13], [4, 13]]
[[12], [13], [4, 4, 4, 4], [13], [13], [13], [13], [13], [12], [13], [4, 9]]
[[13], [13], [13], [12], [13], [12], [9], [4, 4, 4, 4], [13], [4], [13], [13]]
[[], [13], [13], [], [13], [13], [12], [4, 4, 4, 4], [4, 9], [13], [13], [12], [13]]
[[13], [13], [12], [4, 4], [], [13], [13], [13], [13], [13], [], [12], [9], [4, 4, 4]]
[[12], [], [13], [13], [13], [], [4, 4, 4], [13], [9], [13], [], [12], [13], [13], [4, 4]]
-EndAllocation

Instance: [[1], [143], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 9, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [96, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13], Opt: [72, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 9, 13, 13, 13, 13]]
[[13, 13], [9, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 13, 13]]
[[5, 5], [5, 5, 9, 13, 13], [5, 13, 13, 13], [5, 13, 13, 13]]
[[13, 13], [13, 13], [9, 13, 13], [5, 5, 5, 5, 5, 5], [13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [9, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 9, 13], [13, 13], [13]]
[[13], [13], [13], [5, 5, 13], [9, 13], [5, 5, 13], [13], [5, 5, 13]]
[[13], [13], [5, 13], [5, 5, 9], [5, 13], [13], [13], [5, 13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [5, 9], [13], [13], [13], [5, 13], [13], [13]]
[[13], [13], [9], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13]]
[[13], [13], [5, 9], [13], [5, 5, 5], [], [13], [13], [13], [5, 5], [13], [13]]
[[13], [], [13], [13], [13], [13], [13], [5, 5], [5, 5], [13], [13], [9], [5, 5]]
[[13], [13], [], [5, 5], [13], [13], [13], [13], [], [5, 5], [9], [5, 5], [13], [13]]
[[13], [5, 5], [13], [9], [5, 5], [13], [], [13], [13], [13], [], [13], [5, 5], [], [13]]
-EndAllocation

Instance: [[1], [142], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [94, 64, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13], Opt: [71, 48, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13]]
[[13, 13], [9, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 12, 13]]
[[5, 5], [5, 5, 9, 12, 13], [5, 13, 13, 13], [5, 13, 13, 13]]
[[13], [13, 13], [9, 13, 13], [5, 5, 5, 5, 5, 5], [12, 13, 13]]
[[13], [13, 13], [13, 13], [12, 13], [5, 5, 5, 5, 5, 5], [9, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 9, 13], [13, 13], [12]]
[[13], [13], [13], [5, 5, 13], [9, 13], [5, 5, 13], [13], [5, 5, 12]]
[[13], [13], [5, 13], [5, 5, 9], [5, 12], [13], [13], [5, 13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [5, 9], [12], [13], [13], [5, 13], [13], [13]]
[[13], [13], [9], [13], [5, 5, 5], [13], [12], [5, 5, 5], [13], [13], [13]]
[[13], [12], [5, 9], [13], [5, 5, 5], [], [13], [13], [13], [5, 5], [13], [13]]
[[13], [], [13], [13], [13], [12], [13], [5, 5], [5, 5], [13], [13], [9], [5, 5]]
[[13], [13], [], [5, 5], [13], [13], [13], [12], [], [5, 5], [9], [5, 5], [13], [13]]
[[], [5, 5], [13], [9], [5, 5], [13], [5, 5], [13], [13], [13], [], [13], [12], [], [13]]
-EndAllocation

Instance: [[1], [141], 15]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 7, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,15. UB Alg: [94, 62, 48, 38, 32, 28, 24, 21, 20, 17, 16, 14, 14, 13], Opt: [71, 47, 36, 29, 24, 21, 18, 16, 15, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,15:
-StartAllocation
[[13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 7, 13, 13, 13, 13]]
[[13, 13], [7, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 13, 13]]
[[5], [5, 5, 5, 5, 13, 13], [5, 13, 13, 13], [7, 13, 13, 13]]
[[13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [7, 13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [7, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 13], [13, 13], [7, 13]]
[[13], [13], [13], [5, 5, 13], [7, 13], [5, 5, 13], [13], [5, 5, 13]]
[[13], [7, 13], [5, 13], [5, 5, 5, 5], [13], [13], [13], [13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [13], [13], [13], [13], [5, 5], [13], [7, 13]]
[[13], [7], [13], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13]]
[[13], [7], [5, 5, 5], [13], [5, 5, 5], [], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [5], [13], [13], [13], [5, 5], [5, 7], [13], [13], [], [5, 5]]
[[13], [13], [], [5, 5], [13], [13], [13], [13], [], [5, 5], [7], [5, 5], [13], [13]]
[[13], [5, 5], [13], [5, 5], [5, 5], [13], [7], [13], [13], [13], [], [13], [], [], [13]]
-EndAllocation

Instance: [[1], [160], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 6, 6, 6, 7, 9, 10, 12, 12, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [106, 72, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13], Opt: [80, 54, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[2, 13, 13, 13, 13, 13, 13], [6, 6, 6, 7, 9, 10, 12, 12, 12]]
[[2, 13, 13, 13, 13, 13], [7, 9, 10], [6, 6, 6, 12, 12, 12, 13]]
[[2, 10, 12, 12, 12], [13, 13, 13, 13], [9], [6, 6, 6, 7, 13, 13]]
[[2, 6, 6, 6, 7], [13, 13, 13], [13, 13, 13], [12, 12, 12], [9, 10]]
[[2, 12, 12], [7, 13, 13], [13, 13], [9, 12], [13, 13], [6, 6, 6, 10]]
[[2, 6, 6, 6, 7], [10], [13, 13], [9, 12], [13, 13], [13, 13], [12, 12]]
[[2, 13], [6, 6, 6], [12, 12], [10, 12], [7, 9], [13, 13], [13], [13, 13]]
[[2, 7, 13], [9, 13], [6, 6, 12], [], [12, 12], [13], [13], [10, 13], [6, 13]]
[[2, 6, 13], [6, 13], [12], [10], [6, 13], [13], [13], [9, 12], [13], [7, 12]]
[[6, 6, 7], [2, 13], [13], [13], [13], [13], [12], [9, 10], [12], [13], [6, 12]]
[[2, 6, 6], [12], [13], [13], [13], [10], [13], [12], [13], [6, 12], [7, 9], [13]]
[[2, 13], [6, 6], [13], [13], [13], [13], [13], [7, 10], [12], [12], [12], [9], [6]]
[[2, 13], [6, 10], [13], [7, 9], [13], [], [13], [13], [12], [], [12], [13], [12], [6, 6]]
[[2, 6, 6], [13], [10], [13], [13], [13], [13], [], [], [9], [12], [12], [13], [6, 7], [12]]
[[2, 6], [10], [6], [13], [13], [13], [13], [13], [], [12], [12], [], [9], [6, 7], [13], [12]]
-EndAllocation

Instance: [[1], [159], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 6, 6, 7, 9, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [106, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13], Opt: [80, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 6, 7, 13, 13, 13, 13, 13, 13, 13], [6, 6, 9, 9, 12, 12]]
[[1, 6, 7, 12, 13, 13, 13], [9, 9, 12], [6, 6, 13, 13, 13, 13]]
[[1, 6, 7, 12, 12], [13, 13, 13], [9, 9, 13], [6, 6, 13, 13, 13]]
[[1, 6, 7, 13, 13], [], [13, 13, 13], [9, 9, 12, 12], [6, 6, 13, 13]]
[[1, 6, 12, 12], [13, 13], [13, 13], [9, 9], [7, 13, 13], [6, 6, 13]]
[[1, 6, 7, 13], [13, 13], [13, 13], [], [6, 9, 9], [13, 13], [6, 12, 12]]
[[1, 6, 6, 6, 7], [12, 12], [13, 13], [13, 13], [9, 9], [13, 13], [], [13]]
[[1, 9, 13], [12, 12], [9, 13], [13], [13], [13], [6, 13], [6, 7], [6, 13]]
[[1, 6, 13], [7, 13], [6, 13], [13], [9, 12], [13], [9], [13], [12], [6, 13]]
[[1, 7, 12], [6, 13], [12], [13], [13], [13], [13], [13], [13], [6, 9], [6, 9]]
[[1, 13], [13], [13], [13], [13], [13], [13], [6, 6, 6], [12], [9, 9], [12], [7]]
[[1, 12], [13], [6, 6], [7], [13], [13], [13], [13], [13], [13], [9], [6, 9], [12]]
[[1, 6, 6], [7, 9], [13], [13], [13], [13], [13], [13], [9], [12], [13], [], [6], [12]]
[[1, 9], [7], [13], [13], [13], [13], [13], [12], [13], [9], [13], [6], [6, 6], [], [12]]
[[1, 6, 6], [7], [13], [13], [13], [13], [13], [13], [], [12], [12], [9], [], [13], [9], [6]]
-EndAllocation

Instance: [[1], [158], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [7, 7, 9, 10, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[7, 13, 13, 13, 13, 13, 13, 13], [7, 9, 10, 10, 12, 12]]
[[7, 12, 12], [7, 10, 10, 13, 13, 13], [9, 13, 13, 13, 13]]
[[7, 12, 12], [7, 9, 10, 10], [13, 13, 13, 13], [13, 13, 13]]
[[12, 13, 13], [7], [13, 13, 13], [10, 10, 12], [7, 9, 13, 13]]
[[7, 12, 12], [13, 13], [13, 13], [13, 13], [13], [7, 9, 10, 10]]
[[7, 7, 13], [9, 10, 10], [13, 13], [], [13, 13], [13, 13], [12, 12]]
[[7, 7, 9], [12, 12], [13, 13], [10, 10], [13], [13, 13], [], [13, 13]]
[[7, 13], [10, 12], [10, 13], [13], [9, 13], [13], [13], [13], [7, 12]]
[[7, 13], [13], [9, 12], [13], [13], [13], [10, 10], [12], [13], [7, 13]]
[[7, 13], [13], [10, 10], [12], [13], [13], [13], [13], [12], [13], [7, 9]]
[[13], [13], [7, 10], [13], [13], [13], [13], [13], [10], [12], [12], [7, 9]]
[[7, 9], [13], [13], [13], [13], [13], [13], [10], [12], [13], [7, 10], [], [12]]
[[12], [10], [13], [13], [13], [13], [13], [7], [7], [12], [10], [13], [13], [9]]
[[10], [13], [13], [13], [13], [13], [13], [13], [7], [10], [7], [], [12], [9], [12]]
[[10], [12], [13], [13], [13], [13], [13], [13], [10], [12], [7], [], [], [9], [13], [7]]
-EndAllocation

Instance: [[1], [157], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 7, 7, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [105, 70, 53, 42, 36, 30, 26, 24, 21, 20, 18, 17, 16, 14, 13], Opt: [79, 53, 40, 32, 27, 23, 20, 18, 16, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[1, 9, 12, 12, 13, 13, 13, 13, 13], [5, 7, 7, 13, 13, 13]]
[[1, 5, 7, 7, 9, 12, 12], [13, 13, 13], [13, 13, 13, 13, 13]]
[[1, 5, 7, 7, 12, 12], [9], [13, 13, 13, 13], [13, 13, 13, 13]]
[[1, 7, 7, 13, 13], [5], [13, 13, 13], [9, 12, 12], [13, 13, 13]]
[[1, 7, 12, 12], [5, 13, 13], [7, 13, 13], [], [13, 13], [9, 13, 13]]
[[1, 7, 7, 13], [13, 13], [13, 13], [9, 13], [5], [13, 13], [12, 12]]
[[1, 5, 7, 7], [12, 12], [13, 13], [13, 13], [9], [13, 13], [], [13, 13]]
[[12, 12], [1, 9, 13], [7, 13], [5, 13], [13], [13], [13], [13], [7, 13]]
[[1, 7, 13], [7, 12], [5, 13], [13], [9, 12], [13], [13], [13], [13], [13]]
[[1, 7, 12], [5, 13], [13], [13], [13], [12], [13], [13], [13], [13], [7, 9]]
[[1, 13], [13], [7, 7], [13], [13], [13], [9], [13], [12], [12], [13], [5, 13]]
[[1, 5, 7], [13], [12], [13], [13], [13], [13], [13], [7], [12], [13], [13], [9]]
[[1, 13], [13], [13], [13], [13], [13], [13], [12], [5, 7], [], [], [13], [7, 9], [12]]
[[1, 5, 7], [7], [13], [13], [13], [12], [13], [13], [], [9], [12], [13], [], [13], [13]]
[[1, 12], [5, 7], [13], [13], [13], [13], [13], [13], [13], [12], [], [], [9], [], [13], [7]]
-EndAllocation

Instance: [[1], [156], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [104, 69, 52, 42, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13], Opt: [78, 52, 39, 32, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 9, 13], [13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 13, 13, 13], [9, 13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 9, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5], [13, 13, 13], [9, 13, 13], [13, 13, 13]]
[[13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [9, 13]]
[[], [13, 13], [9, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [9, 13], [5, 13], [13], [5, 5, 5, 5, 5]]
[[13], [13], [13], [5, 5, 13], [5, 5, 13], [13], [9, 13], [13], [5, 5, 13]]
[[13], [5, 5, 9], [5, 13], [5, 13], [13], [13], [13], [5, 13], [5, 13], [13]]
[[13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [13], [5, 13], [13], [13], [9]]
[[13], [9], [13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [], [13], [5, 5, 5], [13], [9], [13], [5, 5, 5], [13]]
[[13], [13], [9], [5, 5, 5], [13], [13], [13], [], [], [13], [13], [13], [5, 5, 5], [13]]
[[13], [5, 5], [], [13], [13], [13], [13], [13], [5], [13], [13], [13], [5, 9], [5, 5], []]
[[13], [], [13], [13], [5, 5], [5, 5], [13], [], [13], [13], [9], [], [13], [13], [13], [5, 5]]
-EndAllocation

Instance: [[1], [155], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [104, 69, 52, 41, 34, 30, 26, 24, 21, 20, 17, 16, 16, 14, 13], Opt: [78, 52, 39, 31, 26, 23, 20, 18, 16, 15, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 9, 12], [13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 13, 13, 13], [9, 12, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 9, 13], [12, 13, 13, 13], [13, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5], [13, 13, 13], [9, 13, 13], [12, 13, 13]]
[[13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [9, 12, 13]]
[[], [13, 13], [9, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [12, 13]]
[[], [13, 13], [12, 13], [13, 13], [9, 13], [5, 13], [13], [5, 5, 5, 5, 5]]
[[13], [13], [13], [5, 5, 13], [5, 5, 13], [13], [9, 12], [13], [5, 5, 13]]
[[13], [9, 12], [5, 5, 5, 5], [5, 13], [13], [13], [13], [5, 13], [13], [13]]
[[13], [5, 5, 5, 5], [13], [13], [5, 12], [13], [13], [5, 13], [13], [13], [9]]
[[12], [9], [13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13]]
[[13], [13], [13], [5, 5, 5], [13], [], [13], [12], [13], [9], [13], [5, 5, 5], [13]]
[[13], [13], [9], [5, 5, 5], [13], [12], [13], [], [], [13], [13], [13], [5, 5, 5], [13]]
[[], [5, 5], [], [13], [13], [13], [13], [13], [12], [13], [13], [13], [5, 9], [5, 5], [5]]
[[13], [], [13], [], [12], [5, 5], [13], [], [13], [13], [9], [5, 5], [13], [13], [13], [5, 5]]
-EndAllocation

Instance: [[1], [154], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [102, 69, 52, 41, 34, 29, 26, 24, 21, 18, 17, 16, 14, 14, 13], Opt: [77, 52, 39, 31, 26, 22, 20, 18, 16, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 9, 11, 13, 13, 13, 13]]
[[5, 5, 5, 5], [13, 13, 13, 13, 13], [5, 5, 9, 11, 13, 13, 13]]
[[13], [13, 13, 13, 13], [9, 11, 13, 13], [5, 5, 5, 5, 5, 5, 13]]
[[13], [9, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5], [11, 13, 13]]
[[13, 13], [11, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [9, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [11, 13], [5, 9, 13]]
[[], [9, 13], [13, 13], [13, 13], [11, 13], [5, 5, 5, 5, 5], [5], [13, 13]]
[[13], [5, 5, 11], [13], [13], [13], [9, 13], [5, 5, 13], [13], [5, 5, 13]]
[[13], [13], [13], [13], [9, 11], [13], [13], [5, 13], [5, 13], [5, 5, 5, 5]]
[[13], [11], [13], [13], [13], [5, 5, 5], [5, 13], [5, 9], [13], [5, 13], [13]]
[[9], [13], [5, 5, 5], [13], [13], [11], [13], [13], [13], [5, 5, 5], [13], [13]]
[[], [5, 5, 5], [13], [9], [13], [13], [5, 5, 5], [13], [13], [13], [13], [11], [13]]
[[11], [13], [5, 5], [13], [9], [13], [], [13], [13], [5, 5], [13], [5, 5], [13], [13]]
[[13], [5, 5], [13], [13], [5, 5], [11], [], [13], [13], [9], [13], [], [13], [13], [5, 5]]
[[], [5, 5], [], [5, 5], [13], [5, 5], [13], [13], [9], [13], [], [13], [13], [13], [11], [13]]
-EndAllocation

Instance: [[1], [153], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [102, 68, 52, 41, 34, 29, 26, 22, 21, 18, 17, 16, 14, 14, 13], Opt: [77, 51, 39, 31, 26, 22, 20, 17, 16, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 13, 13, 13, 13, 13]]
[[5, 5, 5, 6], [5, 5, 5, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[13], [6, 13, 13, 13], [5, 5, 5, 5, 5, 5, 13], [13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 6], [13, 13, 13], [13, 13, 13], [13, 13, 13]]
[[13], [6, 13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 5, 5, 5], [13, 13], [5, 13], [13, 13], [13, 13], [6, 13]]
[[], [13, 13], [5, 5, 5, 5, 5], [13], [5, 13], [6, 13], [13, 13], [13, 13]]
[[13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [5, 13], [6, 13]]
[[13], [13], [13], [13], [13], [5, 13], [5, 5, 5, 6], [13], [5, 13], [5, 13]]
[[13], [13], [13], [13], [5, 5, 5], [13], [5, 13], [5, 13], [13], [5, 6], [13]]
[[13], [5, 5, 5], [13], [13], [13], [13], [6], [5, 5, 5], [13], [13], [13], [13]]
[[13], [13], [], [13], [5, 5, 5], [13], [13], [6], [13], [5, 5, 5], [13], [13], [13]]
[[13], [13], [6], [13], [13], [13], [13], [5, 5], [13], [], [13], [13], [5, 5], [5, 5]]
[[13], [], [5, 5], [5, 6], [13], [13], [], [13], [5, 5], [13], [13], [5], [13], [13], [13]]
[[13], [13], [13], [5, 5], [5, 6], [13], [5, 5], [13], [13], [5], [13], [], [13], [], [13], []]
-EndAllocation

Instance: [[1], [152], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 7, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 7, 12, 13, 13, 13]]
[[13, 13], [7, 12, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 13, 13]]
[[6, 6], [6, 6, 6, 6, 12, 13], [7, 13, 13, 13], [6, 13, 13, 13]]
[[13], [6, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [7, 12, 13]]
[[13], [6, 6, 6, 6, 7], [6, 6, 6, 13], [13, 13], [13, 13], [12, 13]]
[[13], [13, 13], [7, 13], [13, 13], [12, 13], [6, 6, 6, 6], [6, 6, 6]]
[[13], [12, 13], [6, 13], [6, 6, 13], [6, 6, 6, 6], [13], [7, 13], [13]]
[[13], [13], [12], [6, 13], [7, 13], [6, 6, 6], [6, 13], [6, 13], [6, 13]]
[[13], [6, 12], [6, 13], [6, 6, 6], [13], [13], [13], [6, 6, 7], [13], [13]]
[[13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [7], [13], [6, 12], [13]]
[[13], [13], [13], [12], [13], [13], [13], [6, 6], [6, 6], [6, 6], [13], [6, 7]]
[[13], [13], [13], [6, 6], [13], [13], [6, 6], [6, 7], [], [6, 6], [12], [13], [13]]
[[13], [6, 6], [13], [6, 6], [6, 7], [12], [13], [13], [13], [13], [], [13], [6, 6], []]
[[12], [13], [6, 6], [6, 6], [6, 6], [], [], [13], [13], [13], [13], [7], [13], [13], [6]]
[[13], [6, 6], [6, 7], [13], [], [13], [], [13], [6, 6], [6, 6], [12], [13], [13], [], [13], []]
-EndAllocation

Instance: [[1], [151], 16]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 7, 7, 7, 7, 8, 9, 12, 12, 12, 13, 13, 13, 13, 13]; Results for m' = 2,...,16. UB Alg: [101, 68, 50, 41, 34, 29, 25, 22, 21, 18, 17, 16, 14, 14, 13], Opt: [76, 51, 38, 31, 26, 22, 19, 17, 16, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,16:
-StartAllocation
[[12, 13, 13, 13, 13], [2, 3, 7, 7, 7, 7, 8, 9, 12, 12, 13]]
[[7, 7, 7], [3, 7, 8, 12, 12, 12, 13], [2, 9, 13, 13, 13, 13]]
[[13], [12, 12, 12, 13], [3, 7, 7, 7, 7, 13], [2, 8, 9, 13, 13]]
[[], [2, 8, 12, 12], [12, 13, 13], [3, 7, 7, 7, 7, 9], [13, 13, 13]]
[[], [7, 12, 13], [7, 12, 13], [7, 9, 13], [8, 12, 13], [2, 3, 7, 13]]
[[13], [2, 12, 13], [7, 7, 7], [3, 13, 13], [7, 12], [9, 13], [8, 12]]
[[13], [8, 12], [7, 13], [7, 12], [2, 3, 13], [7, 13], [12, 13], [7, 9]]
[[13], [7, 12], [7, 8], [7, 13], [13], [2, 13], [12], [3, 7, 12], [9, 13]]
[[13], [12], [7, 8], [2, 13], [9, 12], [7, 13], [13], [13], [12], [3, 7, 7]]
[[13], [13], [7, 8], [13], [12], [13], [2, 7, 9], [12], [13], [3, 12], [7, 7]]
[[12], [7, 8], [7, 9], [12], [13], [13], [13], [12], [3, 13], [2, 7], [7], [13]]
[[13], [13], [13], [12], [3, 7], [2, 12], [7], [7, 9], [8], [12], [13], [7], [13]]
[[13], [2, 7], [7, 7], [13], [8], [12], [3], [13], [13], [12], [13], [9], [7], [12]]
[[13], [7], [12], [12], [13], [2, 12], [13], [7, 7], [13], [9], [8], [3], [13], [], [7]]
[[9], [13], [7], [12], [13], [12], [7], [13], [13], [3, 7], [8], [12], [13], [], [7], [2]]
-EndAllocation

Instance: [[1], [170], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 9, 9, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 18, 17, 16, 14, 13], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 14, 13, 12, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[5, 9, 9, 12, 12, 13], [5, 5, 5, 5, 12, 13, 13, 13, 13, 13, 13]]
[[9, 13], [9, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 12, 12, 12, 13]]
[[13], [5, 5, 5, 5, 9, 12, 13], [5, 13, 13, 13, 13], [9, 12, 12, 13]]
[[13], [5, 13, 13, 13], [12, 13, 13], [9, 12, 12], [5, 5, 5, 5, 9, 13]]
[[13], [13, 13], [12, 13, 13], [5, 5, 5, 5, 12], [9, 9, 13], [5, 12, 13]]
[[], [5, 12, 13], [9, 12, 12], [13, 13], [13, 13], [9, 13], [5, 5, 5, 5, 13]]
[[], [9, 12], [13, 13], [13, 13], [5, 13], [13, 13], [12, 12], [5, 5, 5, 5, 9]]
[[13], [12, 13], [9, 13], [5, 5, 13], [5, 5, 9], [13], [5, 13], [12, 12], [13]]
[[13], [9, 13], [13], [5, 13], [5, 5, 12], [12], [13], [9, 13], [5, 5, 12], [13]]
[[13], [12], [5, 5, 5, 5], [13], [9, 12], [13], [5, 13], [13], [13], [9, 12], [13]]
[[13], [5, 9], [13], [5, 13], [13], [5, 12], [5, 12], [13], [13], [5, 9], [12], [13]]
[[12], [12], [9], [13], [5, 5, 5], [5, 13], [13], [5, 9], [12], [13], [13], [13], [13]]
[[9], [13], [12], [13], [9], [12], [5], [5, 12], [5, 5, 5], [13], [13], [13], [13], [13]]
[[13], [5], [13], [], [5, 9], [12], [13], [5, 5, 5], [12], [13], [9], [12], [13], [13], [13]]
[[9], [5, 5], [13], [5, 5], [5], [9], [12], [12], [13], [], [13], [13], [12], [13], [13], [13]]
[[13], [5], [13], [9], [13], [], [13], [13], [13], [13], [12], [], [9], [12], [5, 5], [5, 5], [12]]
-EndAllocation

Instance: [[1], [169], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 9, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [113, 76, 57, 45, 38, 33, 29, 25, 22, 21, 20, 17, 17, 16, 14, 13], Opt: [85, 57, 43, 34, 29, 25, 22, 19, 17, 16, 15, 13, 13, 12, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[6, 13, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 9, 10, 12, 12]]
[[4, 4, 4, 4, 6, 9], [12, 12, 13, 13, 13], [10, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [6, 13], [9, 10, 13, 13], [4, 4, 4, 4, 12, 12, 13]]
[[4, 4, 4, 4, 6], [12, 12], [13, 13, 13], [13, 13, 13], [9, 10, 13, 13]]
[[6, 13, 13], [9, 13], [13, 13], [12, 12, 13], [10, 13], [4, 4, 4, 4, 13]]
[[6, 13, 13], [4, 4, 4, 4, 10], [13, 13], [12, 12], [9], [13, 13], [13, 13]]
[[10, 13], [13, 13], [13, 13], [4, 4, 4, 4, 6], [], [9, 13], [12, 12], [13, 13]]
[[6, 13], [9, 13], [13], [4, 4, 4, 4], [13], [12, 13], [12, 13], [13], [10, 13]]
[[4, 4, 12], [6, 13], [4, 4, 13], [13], [13], [13], [13], [13], [10, 12], [9, 13]]
[[4, 4, 12], [4, 4, 13], [6, 13], [13], [13], [13], [12], [13], [13], [13], [9, 10]]
[[6, 13], [12], [9, 10], [4, 4, 4, 4], [13], [13], [13], [13], [13], [12], [13], [13]]
[[13], [13], [13], [13], [13], [4, 4, 4, 4], [12], [13], [6, 10], [9], [12], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 9], [12], [4, 4, 4, 4], [13], [], [12], [13], [10]]
[[6, 10], [13], [4, 4, 4, 4], [13], [13], [13], [13], [], [9], [12], [], [12], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [6], [12], [9], [], [4, 4, 4], [4], [12], [13], [10]]
[[12], [13], [13], [13], [13], [13], [13], [6], [9], [4, 4, 4], [], [], [4], [13], [12], [13], [10]]
-EndAllocation

Instance: [[1], [168], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[12, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 10, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 10, 13, 13, 13], [5, 5, 12, 12, 13, 13, 13]]
[[12], [10, 12, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 13, 13]]
[[12], [13, 13, 13], [5, 5, 5, 5, 5, 5, 13], [10, 12, 13], [13, 13, 13]]
[[13], [10, 13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [12, 12, 13], [13, 13]]
[[13], [5, 5, 5, 5, 10], [12, 12], [13, 13], [5, 5, 13], [13, 13], [13, 13]]
[[], [12, 12], [13, 13], [10, 13], [5, 5, 5, 5, 5], [13, 13], [5, 13], [13, 13]]
[[13], [13], [12, 12], [13], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [10, 13]]
[[13], [13], [5, 5, 12], [5, 13], [5, 13], [5, 13], [10, 12], [13], [13], [5, 13]]
[[13], [13], [5, 13], [5, 13], [5, 12], [5, 5, 10], [5, 12], [13], [13], [13], [13]]
[[13], [13], [12], [13], [5, 10], [5, 13], [13], [13], [5, 12], [13], [5, 5, 5], [13]]
[[13], [13], [13], [5, 5, 5], [12], [10], [13], [13], [5, 5, 5], [13], [13], [13], [12]]
[[], [10], [13], [13], [13], [13], [12], [13], [13], [13], [5, 5, 5], [13], [5, 5, 5], [12]]
[[13], [], [10], [13], [5, 5, 5], [], [13], [12], [13], [13], [12], [5, 5, 5], [13], [13], [13]]
[[13], [12], [13], [13], [5, 5], [13], [], [13], [12], [13], [5, 5], [5, 5], [10], [], [13], [13]]
[[], [12], [12], [13], [10], [13], [5, 5], [13], [], [13], [5, 5], [5, 5], [13], [13], [], [13], [13]]
-EndAllocation

Instance: [[1], [167], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 5, 7, 8, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [112, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13], Opt: [84, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[3, 3, 3, 5, 8, 10, 12, 12], [7, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 8, 10, 12], [7, 12, 13, 13, 13, 13], [3, 3, 3, 13, 13, 13, 13]]
[[3, 3, 3, 12, 13, 13], [5, 8, 10], [13, 13, 13, 13], [7, 12, 13, 13]]
[[5, 7, 8, 10, 12], [3, 3, 3], [13, 13, 13], [12, 13, 13], [13, 13, 13]]
[[5, 10, 13], [7, 8], [3, 3, 3, 13, 13], [12, 12, 13], [13, 13], [13, 13]]
[[5, 13, 13], [12, 13], [3, 7, 8, 13], [10, 12], [], [3, 3, 13, 13], [13, 13]]
[[5, 8, 13], [13, 13], [13, 13], [3, 3, 3, 7, 10], [13], [], [12, 12], [13, 13]]
[[3, 3, 3, 13], [12, 13], [13], [13], [7, 13], [12, 13], [8, 13], [10, 13], [5]]
[[12], [13], [3, 3, 3, 13], [7, 13], [5, 13], [10, 12], [13], [13], [13], [8, 13]]
[[8, 13], [13], [13], [13], [13], [5, 10], [13], [3, 3, 3, 12], [13], [12], [7, 13]]
[[3, 12], [13], [8, 10], [13], [3, 13], [13], [12], [13], [7], [13], [3, 13], [5, 13]]
[[13], [13], [13], [3, 13], [3, 10], [13], [5, 8], [7], [13], [13], [12], [3, 13], [12]]
[[13], [10], [13], [13], [13], [13], [7, 8], [12], [5], [13], [3, 3, 3], [13], [13], [12]]
[[13], [13], [13], [13], [13], [13], [13], [12], [7, 8], [5], [12], [10], [], [13], [3, 3, 3]]
[[10], [13], [7], [13], [13], [13], [13], [8], [12], [3, 3, 3, 5], [13], [12], [], [], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [5, 8], [10], [], [12], [], [], [3, 3, 3], [7], [13], [12]]
-EndAllocation

Instance: [[1], [166], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 10, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [110, 74, 56, 45, 37, 32, 28, 25, 22, 21, 18, 17, 16, 16, 14, 13], Opt: [83, 56, 42, 34, 28, 24, 21, 19, 17, 16, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[4, 4, 4, 4, 4, 12, 13, 13], [10, 10, 11, 12, 13, 13, 13, 13, 13]]
[[12, 13], [4, 4, 4, 4, 4, 12, 13, 13, 13], [10, 10, 11, 13, 13, 13]]
[[10], [11, 12, 13, 13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 10, 12, 13]]
[[10], [12, 13, 13], [4, 4, 4, 4, 4, 10, 13], [12, 13, 13], [11, 13, 13]]
[[13], [4, 4, 4, 4, 4, 13], [13, 13], [12, 13], [11, 12, 13], [10, 10, 13]]
[[13], [12, 13], [11, 13], [10, 10, 12], [13, 13], [4, 4, 4, 4, 4], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 11], [10, 12], [4, 13], [10, 12]]
[[13], [4, 4, 13], [4, 4, 12], [12, 13], [13], [13], [13], [11, 13], [4, 10, 10]]
[[13], [13], [4, 13], [11], [4, 4, 13], [4, 4, 13], [10, 12], [13], [10, 12], [13]]
[[12], [13], [13], [13], [4, 12], [10, 10], [13], [4, 4, 13], [13], [4, 4, 11], [13]]
[[13], [4, 11], [4, 13], [13], [4, 10], [4, 12], [13], [13], [10], [12], [13], [4, 13]]
[[10], [4, 4, 4, 4], [12], [11], [13], [4, 13], [13], [12], [13], [13], [10], [13], [13]]
[[10], [4], [13], [13], [13], [13], [11], [13], [12], [4, 4, 4, 4], [12], [13], [13], [10]]
[[13], [13], [10], [13], [13], [13], [], [11], [10], [4], [12], [13], [4, 4, 4, 4], [13], [12]]
[[13], [11], [13], [13], [], [13], [13], [4, 4], [4, 4, 4], [13], [10], [10], [13], [12], [], [12]]
[[13], [13], [13], [4, 4], [], [13], [4, 4, 4], [12], [13], [10], [10], [], [11], [13], [12], [13], []]
-EndAllocation

Instance: [[1], [165], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [110, 73, 56, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13], Opt: [83, 55, 42, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 12, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 12, 13]]
[[13], [5, 5, 5, 5, 5, 5, 6, 13], [12, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [13, 13, 13], [12, 13, 13], [5, 5, 5, 5, 5, 5, 6]]
[[13], [13, 13], [13, 13], [5, 13, 13], [6, 13, 13], [5, 5, 5, 5, 5, 12]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 6], [13, 13], [5, 12, 13]]
[[], [13, 13], [5, 13], [12, 13], [5, 5, 5, 5, 5], [13, 13], [6, 13], [13, 13]]
[[13], [13], [13], [5, 5, 13], [12, 13], [5, 5, 13], [6, 13], [5, 5, 13], [13]]
[[12], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [5, 13], [6, 13], [13]]
[[13], [13], [5, 5, 5, 5], [13], [5, 13], [6, 13], [12], [13], [13], [5, 13], [13]]
[[13], [13], [5, 5, 6], [13], [13], [13], [13], [5, 12], [13], [5, 5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [6], [12], [13], [5, 5, 5], [13], [5, 5, 5], [13], [13]]
[[12], [6], [], [5, 5, 5], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13]]
[[12], [13], [13], [13], [], [5, 5], [13], [13], [13], [6], [5, 5], [5, 5], [13], [13], [13]]
[[13], [5, 5], [13], [13], [], [5, 5], [6], [13], [13], [13], [5, 5], [13], [], [12], [13], [13]]
[[12], [5, 5], [13], [13], [13], [], [13], [5, 5], [13], [5, 5], [13], [13], [13], [13], [], [6], []]
-EndAllocation

Instance: [[1], [164], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 13, 13, 13, 13, 13]]
[[13, 13, 13], [11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 6, 11], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13], [5, 13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 6, 11]]
[[13], [13, 13], [13, 13], [11, 13, 13], [6, 13, 13], [5, 5, 5, 5, 5, 5]]
[[], [13, 13], [11, 13], [13, 13], [5, 5, 5, 5, 5, 6], [13, 13], [5, 13, 13]]
[[], [13, 13], [5, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [6, 11], [13, 13]]
[[13], [11, 13], [13], [5, 5, 13], [5, 5, 13], [13], [6, 13], [5, 5, 13], [13]]
[[13], [5, 13], [5, 5, 11], [13], [5, 13], [13], [5, 13], [5, 13], [6, 13], [13]]
[[13], [13], [5, 5, 5, 5], [13], [5, 13], [6, 13], [11], [13], [13], [5, 13], [13]]
[[13], [13], [5, 5, 6], [13], [11], [13], [13], [5, 13], [13], [5, 5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [6], [13], [13], [5, 5, 5], [13], [5, 5, 5], [11], [13]]
[[], [6], [13], [5, 5, 5], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [11], [13]]
[[13], [13], [13], [13], [], [5, 5], [13], [13], [11], [6], [5, 5], [5, 5], [13], [13], [13]]
[[13], [5, 5], [13], [13], [], [5, 5], [6], [13], [13], [13], [5, 5], [13], [11], [13], [13], []]
[[13], [5, 5], [13], [13], [13], [], [13], [5, 5], [11], [5, 5], [13], [13], [13], [13], [], [6], []]
-EndAllocation

Instance: [[1], [163], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [109, 73, 54, 44, 37, 32, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13], Opt: [82, 55, 41, 33, 28, 24, 21, 19, 17, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 12, 13, 13, 13, 13]]
[[13, 13, 13], [11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 6, 12, 13]]
[[13], [5, 5, 5, 5, 5, 5, 6, 11], [12, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13], [5, 13, 13, 13], [12, 13, 13], [5, 5, 5, 5, 5, 6, 11]]
[[], [11, 13, 13], [13, 13], [5, 13, 13], [6, 13, 13], [5, 5, 5, 5, 5, 12]]
[[], [13, 13], [11, 13], [13, 13], [5, 5, 5, 5, 5, 6], [13, 13], [5, 12, 13]]
[[], [13, 13], [5, 13], [12, 13], [5, 5, 5, 5, 5], [13, 13], [6, 11], [13, 13]]
[[13], [11, 13], [13], [5, 13], [12, 13], [13], [6, 13], [5, 5, 5, 5, 5], [13]]
[[12], [5, 13], [5, 13], [13], [5, 13], [13], [5, 13], [5, 5, 11], [6, 13], [13]]
[[13], [13], [5, 13], [13], [5, 13], [6, 13], [11], [13], [13], [5, 5, 5, 5], [12]]
[[13], [13], [5, 5, 6], [13], [11], [13], [13], [5, 12], [13], [5, 5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [6], [12], [13], [5, 5, 5], [13], [5, 5, 5], [11], [13]]
[[12], [6], [], [5, 5, 5], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [11], [13]]
[[12], [13], [13], [13], [], [5, 5], [13], [13], [11], [6], [5, 5], [5, 5], [13], [13], [13]]
[[13], [5, 5], [13], [13], [], [5, 5], [6], [13], [13], [13], [5, 5], [13], [11], [12], [13], []]
[[12], [5, 5], [13], [13], [13], [], [13], [5, 5], [11], [5, 5], [13], [13], [13], [13], [], [6], []]
-EndAllocation

Instance: [[1], [162], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [108, 72, 54, 44, 36, 32, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13], Opt: [81, 54, 41, 33, 27, 24, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[11, 11, 13, 13, 13], [4, 4, 4, 4, 4, 4, 12, 13, 13, 13, 13, 13]]
[[13, 13], [4, 4, 11, 11, 13, 13, 13], [4, 4, 4, 4, 12, 13, 13, 13]]
[[13], [4, 4, 4, 4, 4, 4, 11, 11], [12, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [13, 13, 13], [4, 4, 4, 4, 4, 4, 12], [11, 11, 13]]
[[11, 11], [13, 13], [13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4, 12]]
[[13], [13, 13], [11, 11], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4], [12, 13]]
[[], [13, 13], [13], [4, 4, 4, 4, 12], [4, 4, 13], [13, 13], [11, 11], [13, 13]]
[[13], [13], [4, 4, 13], [11, 13], [12], [13], [4, 4, 13], [11, 13], [4, 4, 13]]
[[13], [13], [13], [4, 4, 13], [13], [4, 4, 13], [4, 4, 13], [13], [11, 11], [12]]
[[11], [4, 13], [4, 13], [13], [13], [13], [11], [4, 13], [4, 13], [13], [4, 4, 12]]
[[13], [11], [13], [13], [4, 11], [13], [4, 4, 4, 4], [12], [13], [4, 13], [13], [13]]
[[13], [4, 13], [13], [4, 13], [13], [13], [12], [4, 4, 4, 4], [13], [11], [], [11], [13]]
[[12], [13], [], [11], [4, 4, 4, 4], [13], [13], [13], [4], [13], [13], [13], [4, 11], [13]]
[[12], [4, 4, 4], [13], [13], [11], [13], [13], [], [11], [], [13], [13], [4, 4, 4], [13], [13]]
[[13], [], [11], [13], [4, 4, 4], [], [13], [13], [13], [13], [13], [4, 4, 4], [11], [12], [13], []]
[[13], [], [13], [], [13], [4, 4, 4], [13], [], [11], [11], [13], [13], [13], [13], [4, 4, 4], [12], []]
-EndAllocation

Instance: [[1], [161], 17]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,17. UB Alg: [108, 72, 54, 44, 36, 30, 28, 24, 22, 20, 18, 17, 16, 14, 14, 13], Opt: [81, 54, 41, 33, 27, 23, 21, 18, 17, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,17:
-StartAllocation
[[11, 13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 9, 13, 13, 13, 13, 13]]
[[9, 13], [4, 4, 11, 13, 13, 13, 13], [4, 4, 4, 4, 13, 13, 13, 13]]
[[13], [4, 4, 4, 4, 4, 4, 11, 13], [13, 13, 13, 13], [9, 13, 13, 13]]
[[13], [9, 13, 13], [13, 13, 13], [4, 4, 4, 4, 4, 4, 13], [11, 13, 13]]
[[13], [13, 13], [9, 13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4, 11]]
[[13], [9, 13], [11, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4], [13, 13]]
[[], [13, 13], [13], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [9, 11], [13, 13]]
[[13], [11, 13], [4, 4, 13], [9, 13], [13], [13], [4, 4, 13], [13], [4, 4, 13]]
[[13], [13], [13], [13], [13], [4, 4, 13], [4, 4, 13], [9, 13], [4, 4, 11], [13]]
[[13], [4, 13], [4, 13], [4, 13], [9], [13], [11], [4, 13], [4, 13], [13], [4, 13]]
[[13], [9], [13], [13], [4, 11], [13], [4, 4, 4, 4], [13], [13], [4, 13], [13], [13]]
[[13], [4, 13], [9], [4, 13], [13], [13], [13], [4, 4, 4, 4], [13], [], [13], [11], [13]]
[[11], [13], [], [13], [4, 4, 4, 4], [13], [13], [13], [4], [13], [13], [13], [4, 9], [13]]
[[13], [4, 4, 4], [13], [13], [], [13], [13], [13], [11], [], [9], [13], [4, 4, 4], [13], [13]]
[[13], [], [13], [4, 4], [4, 9], [], [13], [13], [13], [13], [13], [4, 4, 4], [11], [13], [13], []]
[[13], [], [13], [13], [13], [], [9], [], [13], [11], [13], [13], [13], [13], [4, 4, 4], [4, 4, 4], []]
-EndAllocation

Instance: [[1], [180], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 10, 11], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 10, 13, 13], [11, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [10, 11, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 13]]
[[13, 13], [11, 13, 13], [10, 13, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [10, 13, 13], [6, 6, 6, 6, 6, 6], [6, 11, 13]]
[[13, 13], [11, 13], [6, 6, 13], [10, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [10, 11], [13, 13]]
[[], [13], [6, 6, 6, 6], [6, 6, 6], [10, 11], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [13], [6, 13], [13], [13], [10, 13], [6, 6, 6, 6], [6, 13], [6, 13], [11, 13]]
[[13], [6, 13], [10, 11], [6, 13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [6, 13]]
[[13], [11], [13], [6, 13], [13], [13], [6, 13], [10], [6, 6, 6], [13], [6, 13], [6, 13]]
[[13], [11], [13], [6, 10], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6, 6], [13], [6, 10], [13], [6, 6], [11], [13], [13], [13], [6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [10], [11], [6], [6, 6]]
[[], [13], [13], [6, 6], [13], [], [13], [11], [13], [13], [6, 10], [13], [6, 6], [13], [6, 6], [13]]
[[], [13], [13], [13], [13], [6, 6], [6], [13], [13], [6, 6], [], [6, 6], [11], [10], [13], [13], [13]]
[[13], [], [11], [], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [13], [10], [], [6, 6], [6], [13]]
-EndAllocation

Instance: [[1], [179], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [120, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13], Opt: [90, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 9, 11], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 9, 13, 13], [11, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [9, 11, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 13]]
[[13], [9, 11, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [9, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [6, 11, 13]]
[[13], [11, 13], [6, 6, 9, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [9, 13], [6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [11, 13], [13, 13]]
[[], [6], [6, 6, 9], [6, 6, 6, 6], [11, 13], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [13], [6, 13], [13], [13], [6, 13], [6, 6, 6, 6], [9, 13], [6, 13], [11, 13]]
[[13], [6, 13], [9, 11], [6, 13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [6, 13]]
[[13], [9, 11], [13], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [6, 13]]
[[13], [6, 11], [13], [13], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [9], [13], [13]]
[[13], [9], [13], [13], [6, 6], [13], [6, 6], [6, 11], [13], [13], [13], [6, 6], [13], [13]]
[[13], [9], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [11], [6], [6, 6]]
[[], [13], [13], [6, 6], [9], [13], [13], [11], [13], [13], [6, 6], [13], [6], [13], [6, 6], [13]]
[[9], [13], [13], [13], [13], [6, 6], [], [13], [13], [6, 6], [], [6, 6], [11], [6], [13], [13], [13]]
[[13], [], [11], [], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [13], [], [9], [6, 6], [6], [13]]
-EndAllocation

Instance: [[1], [178], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [118, 80, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13], Opt: [89, 60, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13, 13], [13, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 13]]
[[13], [13, 13], [6, 6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [6, 6, 6], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [6, 13]]
[[13], [13], [13], [6, 6], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [], [13], [13], [13], [6, 6], [6, 6]]
[[], [13], [13], [6, 6], [13], [13], [13], [], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [13]]
[[], [13], [13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [], [6, 6], [], [6, 6], [13], [13], [13]]
[[13], [], [6, 6], [13], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [13], [], [], [6, 6], [], [13]]
-EndAllocation

Instance: [[1], [177], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [118, 78, 60, 48, 40, 34, 30, 26, 24, 22, 20, 18, 17, 16, 16, 14, 13], Opt: [89, 59, 45, 36, 30, 26, 23, 20, 18, 17, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 12], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13, 13], [12, 13, 13, 13, 13, 13]]
[[13, 13], [12, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[12], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [12, 13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 13]]
[[13], [12, 13], [6, 6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [6, 6, 6], [12, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [12], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13], [13, 13], [13, 13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [13], [6, 13], [6, 13], [6, 6, 12]]
[[13], [6, 13], [6, 13], [6, 13], [13], [12], [6, 13], [13], [13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [12], [6, 6, 6], [13], [13], [6, 13]]
[[13], [13], [13], [6, 6], [12], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6, 6], [13], [6, 6], [13], [12], [13], [13], [6, 6], [13], [6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [], [12], [13], [13], [6, 6], [6, 6]]
[[], [13], [13], [6, 6], [12], [13], [13], [], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [13]]
[[], [13], [13], [13], [13], [6, 6], [], [13], [13], [6, 6], [12], [6, 6], [], [6, 6], [13], [13], [13]]
[[13], [], [6, 6], [], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [13], [], [12], [6, 6], [], [13]]
-EndAllocation

Instance: [[1], [176], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 8, 9, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [117, 78, 58, 48, 40, 34, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [88, 59, 44, 36, 30, 26, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 13, 13, 13], [8, 9, 11, 12, 12, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 4], [13, 13, 13, 13, 13, 13], [8, 9, 11, 12, 12, 13, 13]]
[[13, 13], [12, 12, 13, 13], [4, 4, 4, 4, 4, 13, 13], [8, 9, 11, 13, 13]]
[[13, 13], [8, 13, 13, 13], [9, 13], [11, 13, 13], [4, 4, 4, 4, 4, 12, 12]]
[[12], [12, 13], [8, 13, 13], [4, 4, 4, 4, 4, 9], [13, 13, 13], [11, 13, 13]]
[[], [4, 4, 4, 9, 13], [11, 13], [12, 12], [4, 4, 13, 13], [8, 13, 13], [13, 13]]
[[], [8, 12], [4, 4, 4, 4, 11], [13, 13], [12, 13], [13, 13], [13, 13], [4, 9, 13]]
[[], [11, 13], [8, 9], [13], [13, 13], [4, 4, 4, 4, 4], [13, 13], [12, 13], [12, 13]]
[[13], [4, 4, 4, 9], [12, 12], [13], [13], [4, 4, 13], [11, 13], [13], [8, 13], [13]]
[[13], [4, 12], [13], [4, 4, 13], [13], [13], [13], [8, 13], [13], [4, 4, 11], [9, 12]]
[[13], [13], [9, 11], [13], [8, 12], [13], [13], [13], [12], [13], [4, 4, 4, 4, 4], [13]]
[[13], [13], [12], [11], [4, 13], [4, 13], [4, 4, 9], [13], [4, 13], [13], [12], [13], [8]]
[[13], [12], [13], [4, 4, 4, 4], [9], [11], [4, 12], [13], [13], [8], [13], [13], [13], [13]]
[[13], [12], [4], [9], [8], [11], [12], [13], [13], [13], [4, 4, 4, 4], [13], [13], [13], [13]]
[[12], [13], [13], [13], [4], [8], [4, 9], [12], [], [13], [4, 4, 4], [13], [13], [11], [13], [13]]
[[13], [13], [8], [], [13], [13], [12], [12], [13], [4, 4], [13], [4, 4, 4], [13], [13], [], [9], [11]]
[[13], [13], [13], [4, 4], [13], [], [12], [13], [], [13], [9], [11], [4, 4, 4], [13], [8], [], [13], [12]]
-EndAllocation

Instance: [[1], [175], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 4, 5, 6, 8, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [117, 78, 58, 46, 40, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [88, 59, 44, 35, 30, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[10, 11, 13, 13, 13], [1, 1, 4, 5, 6, 8, 12, 13, 13, 13, 13, 13, 13]]
[[4, 8, 12], [10, 13, 13, 13, 13, 13], [1, 1, 5, 6, 11, 13, 13, 13, 13]]
[[13], [5, 6, 12, 13, 13], [1, 1, 4, 13, 13, 13, 13], [8, 10, 11, 13, 13]]
[[13, 13, 13], [8, 13, 13], [13, 13], [6, 10, 11, 13], [1, 1, 4, 5, 12, 13]]
[[], [1, 1, 6, 12, 13], [8, 13, 13], [4, 10, 13, 13], [5, 13, 13], [11, 13, 13]]
[[], [4, 13, 13], [1, 1, 13, 13], [10, 11, 12], [6, 13, 13], [5, 8, 13], [13, 13]]
[[13], [8, 12], [4, 11, 13], [13, 13], [6, 13], [1, 1, 5, 13], [13, 13], [10, 13]]
[[13], [6, 11], [8, 12], [13, 13], [10, 13], [4, 13], [13, 13], [5, 13], [1, 1, 13]]
[[13], [10, 13], [5, 13], [13], [1, 1, 13], [4, 13], [11, 13], [6, 13], [8, 12], [13]]
[[13], [5, 13], [13], [4, 12], [1, 1, 13], [13], [13], [8, 13], [13], [10, 11], [6, 13]]
[[13], [10], [13], [11], [8, 12], [13], [13], [13], [1, 1, 13], [5, 13], [4, 13], [6, 13]]
[[13], [13], [13], [11], [13], [1, 1, 13], [4, 13], [13], [6], [8, 10], [5, 12], [13], [13]]
[[13], [13], [13], [4, 13], [1, 1, 6], [11], [13], [13], [13], [8], [13], [13], [10], [5, 12]]
[[13], [12], [13], [13], [8], [11], [13], [13], [10], [13], [1, 1, 4], [13], [13], [13], [5, 6]]
[[12], [5], [13], [13], [13], [13], [1, 1, 8], [13], [13], [11], [4], [13], [13], [6], [10], [13]]
[[13], [13], [8], [], [13], [13], [13], [], [5, 6], [1, 1, 10], [13], [4], [13], [13], [13], [12], [11]]
[[13], [13], [5], [13], [1, 1], [], [13], [13], [13], [10], [13], [11], [4], [13], [8], [6], [13], [12]]
-EndAllocation

Instance: [[1], [174], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 11, 13, 13], [9, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 13], [4, 4, 4, 13, 13, 13, 13, 13], [4, 9, 11, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 13, 13], [9, 11, 13, 13]]
[[13, 13], [13, 13, 13], [9, 13, 13], [11, 13, 13], [4, 4, 4, 4, 4, 4, 13]]
[[13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4, 9], [13, 13], [11, 13, 13]]
[[13], [4, 4, 9, 13], [4, 4, 4, 13], [11, 13], [4, 13, 13], [13, 13], [13, 13]]
[[], [13, 13], [4, 4, 4, 4, 11], [13, 13], [13, 13], [13, 13], [13, 13], [4, 4, 9]]
[[], [11, 13], [9, 13], [], [13, 13], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [13, 13]]
[[13], [9, 13], [13], [13], [13], [4, 4, 13], [11, 13], [13], [4, 4, 13], [4, 4, 13]]
[[13], [13], [13], [13], [9, 11], [13], [13], [4, 4, 13], [13], [4, 4, 13], [4, 4, 13]]
[[13], [13], [13], [13], [9, 11], [13], [4, 13], [13], [13], [13], [4, 4, 4, 4, 4], [13]]
[[13], [13], [13], [11], [13], [4, 4, 4, 4], [4, 4, 9], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [4, 4, 4, 4], [9], [11], [4, 4], [13], [13], [13], [13], [13], [13], [13]]
[[13], [], [4, 4], [9], [13], [11], [13], [13], [13], [13], [4, 4, 4, 4], [13], [13], [13], [13]]
[[13], [13], [13], [13], [4, 4], [], [4, 9], [13], [], [13], [4, 4, 4], [13], [13], [11], [13], [13]]
[[13], [13], [13], [], [13], [13], [13], [], [13], [4, 4, 4], [13], [4, 4, 4], [13], [13], [], [9], [11]]
[[13], [13], [13], [4, 4, 4], [13], [], [13], [13], [], [], [9], [11], [4, 4, 4], [13], [13], [], [13], [13]]
-EndAllocation

Instance: [[1], [173], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [116, 77, 58, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [87, 58, 44, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 11, 13, 13], [4, 8, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 8], [4, 4, 4, 13, 13, 13, 13, 13], [11, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 13, 13], [8, 11, 13, 13, 13]]
[[13, 13], [8, 13, 13], [13, 13, 13], [11, 13, 13], [4, 4, 4, 4, 4, 4, 13]]
[[13], [13, 13], [8, 13, 13], [4, 4, 4, 4, 4, 4, 13], [13, 13], [11, 13, 13]]
[[13], [4, 13, 13], [4, 4, 4, 4, 13], [11, 13], [4, 13, 13], [8, 13], [13, 13]]
[[], [8, 13], [4, 4, 4, 4, 11], [13, 13], [13, 13], [13, 13], [13, 13], [4, 4, 13]]
[[], [11, 13], [8, 13], [], [13, 13], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [13, 13]]
[[13], [4, 4, 13], [13], [13], [13], [4, 4, 13], [11, 13], [13], [8, 13], [4, 4, 13]]
[[13], [13], [13], [4, 4, 13], [11], [13], [13], [8, 13], [13], [4, 4, 13], [4, 4, 13]]
[[13], [13], [13], [13], [8, 11], [13], [4, 13], [13], [13], [13], [4, 4, 4, 4, 4], [13]]
[[13], [13], [8], [11], [4, 13], [13], [4, 4, 4, 4], [13], [4, 13], [13], [13], [13], [13]]
[[13], [13], [13], [4, 4, 4, 4], [13], [11], [4, 4], [13], [13], [8], [13], [13], [13], [13]]
[[13], [], [4, 4], [13], [8], [11], [13], [13], [13], [13], [4, 4, 4, 4], [13], [13], [13], [13]]
[[13], [13], [13], [13], [4, 4], [], [4, 8], [13], [], [13], [4, 4, 4], [13], [13], [11], [13], [13]]
[[13], [13], [8], [], [13], [13], [13], [], [13], [4, 4, 4], [13], [4, 4, 4], [13], [13], [], [13], [11]]
[[13], [13], [13], [4, 4, 4], [13], [], [13], [13], [], [], [13], [11], [4, 4, 4], [13], [8], [], [13], [13]]
-EndAllocation

Instance: [[1], [172], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [114, 77, 57, 46, 38, 33, 29, 26, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [86, 58, 43, 35, 29, 25, 22, 20, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 11, 13, 13], [8, 12, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 4], [12, 13, 13, 13, 13, 13], [4, 8, 11, 13, 13, 13, 13]]
[[13, 13], [12, 13, 13, 13], [4, 4, 4, 4, 4, 4, 13, 13], [8, 11, 13, 13]]
[[13, 13], [8, 13, 13], [13, 13, 13], [11, 13, 13], [4, 4, 4, 4, 4, 4, 12]]
[[], [12, 13, 13], [8, 13, 13], [4, 4, 4, 4, 4, 4, 13], [13, 13], [11, 13, 13]]
[[13], [4, 13, 13], [4, 4, 4, 4, 13], [11, 12], [4, 13, 13], [8, 13], [13, 13]]
[[], [8, 12], [4, 4, 4, 4, 11], [13, 13], [13, 13], [13, 13], [13, 13], [4, 4, 13]]
[[], [11, 13], [8, 12], [], [13, 13], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [13, 13]]
[[13], [13], [13], [13], [4, 13], [4, 4, 13], [11, 13], [13], [4, 8, 12], [4, 4, 13]]
[[13], [12], [13], [4, 4, 13], [11], [13], [13], [8, 13], [13], [4, 4, 13], [4, 4, 13]]
[[13], [13], [13], [13], [8, 11], [13], [4, 13], [13], [12], [13], [4, 4, 4, 4, 4], [13]]
[[13], [13], [8], [11], [13], [4, 4, 4, 4], [4, 12], [13], [4, 13], [13], [13], [13], [13]]
[[13], [12], [13], [4, 4, 4, 4], [13], [11], [4, 4], [13], [13], [8], [13], [13], [13], [13]]
[[13], [12], [4, 4], [13], [8], [11], [], [13], [13], [13], [4, 4, 4, 4], [13], [13], [13], [13]]
[[12], [13], [13], [13], [4, 4], [], [4, 8], [13], [], [13], [4, 4, 4], [13], [13], [11], [13], [13]]
[[13], [13], [8], [], [13], [13], [13], [], [13], [4, 4, 4], [13], [4, 4, 4], [13], [13], [], [12], [11]]
[[13], [13], [13], [4, 4, 4], [13], [], [13], [13], [], [], [13], [11], [4, 4, 4], [13], [8], [], [13], [12]]
-EndAllocation

Instance: [[1], [171], 18]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,18. UB Alg: [114, 76, 57, 46, 38, 33, 29, 25, 24, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [86, 57, 43, 35, 29, 25, 22, 19, 18, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,18:
-StartAllocation
[[4, 4, 4, 4, 4, 12, 12, 13], [4, 6, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 12, 12, 13, 13, 13], [4, 4, 4, 4, 4, 4, 13, 13, 13, 13]]
[[12], [13, 13, 13, 13], [4, 13, 13, 13, 13], [4, 4, 4, 4, 4, 6, 12, 13]]
[[13], [6, 12, 12, 13], [13, 13, 13], [4, 4, 4, 4, 4, 4, 13], [13, 13, 13]]
[[13], [4, 4, 4, 4, 4, 4, 13], [13, 13], [12, 12, 13], [6, 13, 13], [13, 13]]
[[], [13, 13], [6, 13, 13], [13, 13], [13, 13], [4, 12, 12], [4, 4, 4, 4, 4, 13]]
[[], [6, 13], [13, 13], [12, 12], [13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4]]
[[13], [12, 13], [6, 13], [13], [13], [13], [12, 13], [4, 4, 4, 13], [4, 4, 4, 13]]
[[13], [13], [13], [4, 13], [4, 4, 13], [13], [4, 4, 13], [12, 12], [4, 6, 13], [13]]
[[13], [13], [4, 13], [13], [4, 4, 13], [6, 13], [13], [12], [13], [4, 12], [4, 4, 13]]
[[13], [13], [13], [13], [4, 13], [13], [12], [13], [6, 12], [4, 4, 4, 4, 4], [13], [13]]
[[13], [], [13], [4, 4, 4, 4], [13], [4, 13], [13], [13], [4, 13], [12], [13], [6, 12], [13]]
[[13], [13], [6], [12], [13], [13], [4, 4], [13], [13], [12], [13], [13], [4, 4, 4, 4], [13]]
[[12], [13], [13], [13], [13], [13], [13], [13], [], [4, 4, 4, 4], [4, 4], [13], [12], [13], [6]]
[[12], [4, 4, 4], [13], [], [13], [13], [], [13], [13], [4, 4, 6], [13], [4], [13], [13], [13], [12]]
[[], [13], [13], [13], [6], [13], [13], [13], [12], [13], [], [4, 4, 4], [13], [12], [], [4, 4, 4], [13]]
[[12], [13], [13], [], [], [13], [12], [], [6], [13], [4, 4, 4], [13], [13], [4, 4, 4], [13], [13], [13], []]
-EndAllocation

Instance: [[1], [190], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [126, 85, 64, 50, 42, 37, 32, 29, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13], Opt: [95, 64, 48, 38, 32, 28, 24, 22, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 12, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6], [6, 6, 6, 12, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [12, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13]]
[[13, 13], [13, 13, 13], [12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [12, 13, 13]]
[[13], [6, 6, 12, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 6, 12], [13, 13]]
[[], [13], [13, 13], [13, 13], [12, 13], [13, 13], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6]]
[[13], [12, 13], [13], [13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [6, 6, 13], [13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [6, 12], [6, 13], [13]]
[[13], [6, 13], [13], [6, 13], [13], [13], [6, 6, 6], [6, 13], [6, 12], [13], [6, 13], [13]]
[[13], [13], [13], [13], [6, 13], [13], [6, 6, 6], [13], [13], [6, 12], [13], [13], [6, 6, 6]]
[[13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [12], [13], [13], [6, 6, 6], [13], [6, 6]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [13], [13], [12], [13]]
[[13], [], [6, 6], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [12], [6, 6], [13], [13], [13]]
[[], [13], [6, 6], [13], [13], [12], [13], [13], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], []]
[[13], [13], [6, 6], [13], [12], [6, 6], [13], [], [], [], [13], [6, 6], [13], [13], [13], [13], [13], [6, 6]]
[[13], [6, 6], [13], [6, 6], [13], [12], [13], [6, 6], [], [13], [13], [], [13], [6, 6], [13], [13], [], [], [13]]
-EndAllocation

Instance: [[1], [189], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [126, 84, 64, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13], Opt: [95, 63, 48, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 12, 12], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6], [6, 6, 6, 12, 12, 13, 13, 13], [6, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [12, 12, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13]]
[[13], [13, 13, 13], [12, 12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [12, 12, 13]]
[[13], [6, 6, 12, 12], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [12, 13], [6, 6, 6, 12], [13, 13]]
[[], [13], [13, 13], [13, 13], [12, 12], [13, 13], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6]]
[[13], [12, 12], [13], [13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [6, 6, 13], [13]]
[[13], [6, 13], [13], [13], [6, 6, 6, 6], [6, 13], [6, 13], [13], [12, 12], [6, 13], [13]]
[[13], [6, 13], [13], [6, 12], [13], [13], [6, 6, 6], [6, 13], [6, 12], [13], [6, 13], [13]]
[[13], [12], [13], [13], [6, 13], [13], [6, 6, 6], [13], [13], [6, 12], [13], [13], [6, 6, 6]]
[[13], [13], [6, 6, 6], [13], [13], [13], [13], [12], [12], [13], [13], [6, 6, 6], [13], [6, 6]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [12], [13], [6, 6], [13], [13], [12], [13]]
[[13], [], [12], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [12], [6, 6], [6, 6], [13], [13]]
[[], [13], [6, 6], [13], [13], [12], [13], [13], [13], [6, 6], [12], [13], [6, 6], [6, 6], [13], [13], []]
[[13], [13], [6, 6], [13], [12], [6, 6], [13], [], [], [], [13], [12], [13], [13], [6, 6], [13], [13], [6, 6]]
[[13], [6, 6], [13], [6, 6], [13], [12], [13], [6, 6], [], [13], [13], [], [13], [6, 6], [12], [13], [], [], [13]]
-EndAllocation

Instance: [[1], [188], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 24, 21, 20, 18, 17, 16, 16, 14, 13], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 18, 16, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 12, 13], [6, 11, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6], [6, 6, 6, 11, 12, 13, 13, 13], [6, 13, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13], [12, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 11]]
[[13], [11, 13, 13, 13], [12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 11, 12, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13]]
[[11], [6, 12, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 6, 12], [11, 13]]
[[], [13], [13, 13], [13, 13], [11, 12], [13, 13], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6]]
[[13], [12, 13], [13], [11, 13], [6, 6, 13], [6, 6, 13], [6, 6, 6, 6], [13], [13], [13]]
[[13], [6, 13], [13], [13], [6, 6, 6, 6], [11, 13], [6, 13], [6, 13], [12], [6, 13], [13]]
[[13], [6, 13], [11], [6, 13], [13], [13], [6, 6, 6], [6, 13], [6, 12], [13], [6, 13], [13]]
[[13], [13], [13], [13], [6, 13], [13], [6, 6, 6], [13], [13], [6, 12], [11], [13], [6, 6, 6]]
[[13], [11], [6, 6, 6], [13], [13], [13], [13], [13], [12], [13], [13], [6, 6, 6], [13], [6, 6]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [11], [13], [6, 6], [13], [13], [12], [13]]
[[13], [11], [6, 6], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [12], [6, 6], [], [13], [13]]
[[], [13], [6, 6], [13], [13], [12], [11], [13], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], []]
[[13], [13], [6, 6], [13], [12], [6, 6], [13], [], [], [], [13], [6, 6], [13], [13], [6, 6], [13], [13], [11]]
[[13], [6, 6], [13], [6, 6], [13], [12], [13], [6, 6], [], [13], [13], [], [13], [6, 6], [13], [13], [], [], [11]]
-EndAllocation

Instance: [[1], [187], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 5, 6, 6, 9, 9, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [125, 84, 62, 50, 42, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [94, 63, 47, 38, 32, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 5, 6, 6, 9, 9, 10, 13], [4, 4, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 5, 13], [6, 6, 9, 9, 10, 13, 13, 13], [4, 13, 13, 13, 13, 13, 13]]
[[6, 6], [4, 4, 4, 9, 9, 13, 13], [10, 13, 13, 13, 13], [5, 13, 13, 13, 13]]
[[6, 9, 9, 13], [13, 13, 13], [4, 10], [5, 6, 13, 13, 13], [4, 4, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13], [5, 6, 6, 9, 9], [10, 13], [4, 4, 4], [13, 13, 13]]
[[4, 4, 13, 13], [13, 13], [9, 9, 13], [6, 6, 13], [13, 13], [10], [4, 5, 13, 13]]
[[6, 13, 13], [6, 13, 13], [13, 13], [4, 4, 4, 13], [9, 10], [5], [9, 13], [13, 13]]
[[9, 13], [13, 13], [13, 13], [9, 13], [4, 4, 4, 10], [5, 13], [], [6, 6, 13], [13, 13]]
[[9, 13], [10, 13], [13], [4, 4, 4, 13], [5, 13], [13], [13], [6, 6, 13], [13], [9, 13]]
[[4, 13], [9, 13], [13], [9, 13], [5, 13], [6, 6, 10], [13], [13], [4, 4, 13], [13], [13]]
[[6, 13], [4, 4, 4, 9], [6, 13], [13], [13], [5, 13], [13], [13], [9, 10], [13], [13], [13]]
[[6, 13], [4, 10], [13], [13], [6, 13], [4, 13], [13], [5, 13], [13], [], [9, 9], [4, 13], [13]]
[[4, 4, 10], [5, 13], [13], [13], [13], [13], [9, 9], [13], [13], [4, 13], [6, 6], [], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 9], [13], [9], [13], [4, 4, 4], [10], [13], [13], [6, 6]]
[[13], [13], [13], [4, 4], [13], [13], [13], [9], [13], [9], [5, 10], [13], [4, 6, 6], [], [13], [13]]
[[10], [9], [13], [13], [13], [13], [13], [13], [6, 6], [13], [9], [13], [5], [], [13], [4, 4, 4], [13]]
[[10], [13], [13], [13], [13], [13], [6, 6], [13], [13], [13], [9], [13], [], [], [5], [13], [9], [4, 4, 4]]
[[13], [13], [13], [13], [13], [13], [13], [10], [13], [6, 6], [9], [9], [5], [], [], [], [13], [13], [4, 4, 4]]
-EndAllocation

Instance: [[1], [186], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [124, 82, 62, 50, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [93, 62, 47, 38, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[12, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 9, 13, 13, 13, 13, 13, 13]]
[[12, 13, 13], [9, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13]]
[[13], [9, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [9, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 12], [13, 13, 13]]
[[], [12, 13, 13], [13, 13, 13], [9, 13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13, 13]]
[[13], [13, 13], [13, 13], [5, 5, 13, 13], [13, 13], [12, 13], [5, 5, 5, 5, 5, 9]]
[[], [5, 9, 12], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [13, 13]]
[[], [5, 5, 5, 5, 5], [5, 5, 9], [13, 13], [13, 13], [13, 13], [12, 13], [13], [13, 13]]
[[13], [12, 13], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [9, 13], [13], [13], [5, 13]]
[[13], [13], [5, 13], [5, 13], [9, 13], [13], [5, 13], [5, 5, 12], [5, 13], [13], [5, 13]]
[[9, 12], [5, 13], [13], [5, 13], [13], [13], [13], [5, 13], [13], [13], [5, 5, 5, 5], [13]]
[[13], [5, 13], [13], [12], [13], [13], [5, 13], [5, 13], [13], [13], [5, 5, 5, 5], [9], [13]]
[[13], [5, 13], [12], [13], [5, 5, 5], [13], [13], [9], [13], [13], [5, 5, 5], [13], [13], [13]]
[[13], [5, 9], [13], [13], [13], [13], [5, 5, 5], [], [13], [5, 5, 5], [13], [12], [13], [13], [13]]
[[13], [13], [13], [12], [5, 5, 5], [], [5, 5, 5], [13], [13], [13], [5], [13], [9], [13], [13], [13]]
[[12], [5, 5], [13], [13], [13], [5, 5], [13], [13], [5], [13], [13], [13], [9], [13], [13], [5, 5], []]
[[13], [5, 5], [13], [13], [13], [13], [13], [5, 5], [9], [12], [13], [], [], [13], [5], [5, 5], [13], [13]]
[[], [13], [9], [13], [13], [13], [13], [5], [], [13], [13], [12], [5, 5], [5, 5], [5, 5], [13], [13], [13], []]
-EndAllocation

Instance: [[1], [185], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 6, 8, 9, 10, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [124, 82, 62, 49, 41, 36, 32, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [93, 62, 47, 37, 31, 27, 24, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[4, 4, 4, 6, 8, 10, 12, 12, 12], [9, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 6, 9], [13, 13, 13, 13, 13, 13], [8, 10, 12, 12, 12, 13, 13]]
[[12, 12, 12], [6, 8, 10, 13], [9, 13, 13, 13, 13], [4, 4, 4, 13, 13, 13]]
[[10, 12, 12, 12], [13, 13, 13], [8], [4, 6, 9, 13, 13], [4, 4, 13, 13, 13]]
[[12, 13, 13], [13, 13, 13], [9, 12, 12], [4, 4, 4, 6, 8, 10], [], [13, 13, 13]]
[[13, 13], [4, 4, 4, 13], [9, 12, 13], [6, 10], [13, 13], [8, 12, 12], [13, 13]]
[[6, 10, 12], [13, 13], [13, 13], [4, 4, 4, 13], [8, 12, 12], [], [9, 13], [13, 13]]
[[6, 13], [12, 13], [13, 13], [4, 4, 4, 13], [10, 13], [12, 12], [], [8, 9], [13, 13]]
[[6, 12], [13], [8, 13], [12, 13], [13], [4, 4, 4, 13], [10, 13], [13], [12], [9, 13]]
[[13], [10, 12], [6, 13], [9, 13], [8, 13], [13], [13], [13], [4, 4, 12], [4, 13], [12]]
[[6, 13], [4, 13], [10], [4, 4, 13], [13], [8, 13], [13], [13], [12], [12], [13], [9, 12]]
[[4, 12], [13], [10], [8, 12], [13], [6, 13], [4, 13], [12], [13], [13], [9], [4, 13], [13]]
[[6, 12], [13], [13], [13], [13], [13], [9], [4, 13], [10], [4, 4, 8], [12], [12], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [12], [12], [6], [4, 4, 4], [12], [10], [13], [8, 9]]
[[13], [13], [13], [13], [13], [13], [13], [], [12], [9], [4, 4, 4], [12], [6, 8], [10], [12], [13]]
[[6], [13], [13], [10], [13], [13], [13], [], [12], [8], [9], [12], [13], [13], [12], [4, 4, 4], [13]]
[[4, 6], [13], [13], [13], [13], [13], [12], [9], [12], [10], [], [4, 4], [], [8], [12], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [10], [], [6], [], [9], [8], [12], [12], [], [12], [13], [4, 4, 4]]
-EndAllocation

Instance: [[1], [184], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [122, 82, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [92, 62, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[12, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 9, 11, 13, 13, 13, 13, 13]]
[[11, 12, 13], [9, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13]]
[[13], [9, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13], [11, 13, 13, 13]]
[[12], [13, 13, 13], [9, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11], [13, 13, 13]]
[[], [12, 13, 13], [13, 13, 13], [9, 11, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13, 13]]
[[], [13, 13], [13, 13], [5, 5, 13, 13], [13, 13], [11, 12, 13], [5, 5, 5, 5, 5, 9]]
[[], [5, 9, 12], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [11, 13]]
[[], [5, 5, 5, 5, 5], [5, 5, 9], [13, 13], [13, 13], [11, 13], [12, 13], [13], [13, 13]]
[[13], [12, 13], [13], [13], [5, 5, 13], [5, 5, 5, 5, 5], [9, 13], [13], [11, 13], [13]]
[[13], [13], [5, 13], [13], [9, 13], [13], [5, 13], [5, 5, 12], [5, 5, 11], [13], [5, 13]]
[[9, 12], [13], [13], [5, 5, 11], [13], [13], [13], [5, 13], [13], [13], [5, 5, 5, 5], [13]]
[[13], [13], [13], [12], [13], [13], [13], [13], [9, 11], [13], [5, 5, 5, 5], [13], [5, 5, 5]]
[[13], [5, 13], [11], [13], [5, 5, 5], [13], [13], [9], [13], [13], [5, 5, 5], [13], [13], [12]]
[[13], [5, 9], [13], [11], [13], [13], [5, 5, 5], [], [13], [5, 5, 5], [13], [12], [13], [13], [13]]
[[13], [13], [13], [12], [5, 5, 5], [], [5, 5, 5], [13], [11], [13], [5], [13], [9], [13], [13], [13]]
[[12], [5, 5], [13], [], [13], [5, 5], [13], [13], [13], [13], [13], [5, 9], [11], [13], [13], [5, 5], []]
[[13], [5, 5], [13], [13], [13], [13], [13], [5, 5], [9], [12], [13], [], [], [11], [5], [5, 5], [13], [13]]
[[], [13], [9], [13], [13], [13], [13], [5], [], [13], [13], [12], [5, 5], [5, 5], [5, 5], [13], [11], [13], []]
-EndAllocation

Instance: [[1], [183], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [122, 81, 61, 49, 41, 36, 30, 28, 25, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [92, 61, 46, 37, 31, 27, 23, 21, 19, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[12, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 9, 11, 13, 13, 13, 13, 13]]
[[11, 12, 12], [9, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13]]
[[13], [9, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13], [11, 12, 13, 13]]
[[12], [13, 13, 13], [9, 12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11], [13, 13, 13]]
[[], [12, 13, 13], [13, 13, 13], [9, 11, 12], [5, 5, 5, 5, 5, 5, 5], [13, 13, 13]]
[[], [13, 13], [13, 13], [5, 5, 13, 13], [13, 13], [11, 12, 12], [5, 5, 5, 5, 5, 9]]
[[], [5, 9, 12], [12, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [11, 13]]
[[], [5, 5, 5, 5, 5], [5, 5, 9], [13, 13], [13, 13], [11, 13], [12, 12], [13], [13, 13]]
[[13], [12, 13], [13], [], [5, 5, 13], [5, 5, 5, 5, 5], [9, 13], [12, 13], [11, 13], [13]]
[[13], [13], [5, 12], [13], [9, 13], [13], [5, 13], [5, 5, 12], [5, 5, 11], [13], [5, 13]]
[[12], [13], [13], [5, 5, 11], [13], [13], [13], [5, 13], [9, 12], [13], [5, 5, 5, 5], [13]]
[[13], [13], [13], [12], [13], [12], [13], [13], [9, 11], [13], [5, 5, 5, 5], [13], [5, 5, 5]]
[[13], [5, 13], [11], [13], [5, 5, 5], [13], [13], [9], [13], [13], [5, 5, 5], [12], [13], [12]]
[[13], [5, 9], [13], [11], [13], [13], [5, 5, 5], [], [12], [5, 5, 5], [13], [12], [13], [13], [13]]
[[13], [13], [13], [12], [5, 5, 5], [], [5, 5, 5], [13], [11], [12], [5], [13], [9], [13], [13], [13]]
[[12], [5, 5], [13], [12], [13], [5, 5], [13], [], [13], [13], [13], [5, 9], [11], [13], [13], [5, 5], []]
[[13], [5, 5], [13], [13], [13], [13], [9], [5, 5], [12], [12], [13], [], [], [11], [5], [5, 5], [13], [13]]
[[], [13], [9], [13], [13], [13], [13], [5], [], [13], [13], [12], [5, 5], [5, 5], [5, 5], [], [11], [13], [12]]
-EndAllocation

Instance: [[1], [182], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 5, 7, 9, 9, 9, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[1, 4, 5, 9, 9, 9, 12, 12], [7, 10, 13, 13, 13, 13, 13, 13, 13, 13]]
[[12, 12], [5, 9, 9, 9, 10, 13, 13, 13], [1, 4, 7, 13, 13, 13, 13, 13]]
[[13, 13], [1, 4, 10, 13, 13], [7, 9, 9, 9, 12, 12], [5, 13, 13, 13, 13]]
[[13], [12, 12, 13], [5, 9, 9, 9, 13], [7, 10, 13, 13], [1, 4, 13, 13, 13]]
[[13], [4, 5, 13, 13], [1, 9, 9, 9, 13], [10, 12, 12], [7, 13], [13, 13, 13]]
[[13], [13, 13], [9, 9, 13], [13, 13], [12, 12], [7, 9, 13], [1, 4, 5, 10, 13]]
[[], [9, 13], [4, 13, 13], [9, 9, 12], [5, 12, 13], [7, 13], [13, 13], [1, 10, 13]]
[[13], [4, 5, 13], [1, 13, 13], [9, 9], [12, 13], [13], [7, 9], [10, 13], [12, 13]]
[[13], [13], [10, 13], [9, 13], [9, 13], [13], [5, 13], [1, 12], [4, 7, 12], [9, 13]]
[[13], [13], [5, 13], [13], [13], [13], [9, 13], [9, 12], [10, 12], [7, 13], [1, 4, 9]]
[[13], [13], [9, 12], [10], [13], [7, 13], [9, 12], [4, 9], [13], [13], [1, 13], [5, 13]]
[[12], [5, 13], [13], [13], [13], [4, 12], [13], [7, 10], [13], [9], [9, 9], [13], [1, 13]]
[[13], [13], [12], [9], [13], [4, 10], [1, 13], [13], [13], [13], [13], [7, 9], [5, 9], [12]]
[[13], [10], [1, 13], [], [7, 9], [9], [4, 13], [9], [12], [5, 12], [13], [13], [13], [13], [13]]
[[13], [13], [12], [5, 10], [1, 13], [13], [13], [9], [9], [4, 9], [13], [12], [7], [13], [], [13]]
[[13], [13], [9], [13], [12], [13], [13], [4, 7], [], [9], [13], [10], [1, 13], [9], [13], [5], [12]]
[[13], [], [7], [5, 9], [13], [], [1, 13], [4, 9], [13], [], [13], [12], [13], [10], [13], [13], [12], [9]]
[[10], [12], [13], [12], [13], [4, 9], [9], [], [13], [13], [], [], [5, 7], [13], [], [13], [13], [13], [1, 9]]
-EndAllocation

Instance: [[1], [181], 19]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 1, 1, 1, 8, 9, 9, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,19. UB Alg: [121, 81, 61, 49, 41, 34, 30, 28, 25, 22, 21, 18, 17, 17, 16, 14, 14, 13], Opt: [91, 61, 46, 37, 31, 26, 23, 21, 19, 17, 16, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,19:
-StartAllocation
[[1, 1, 1, 1, 8, 9, 9, 9, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[1, 1, 1, 1, 8, 9, 12], [13, 13, 13, 13, 13, 13], [9, 9, 13, 13, 13, 13]]
[[1, 1, 1, 1, 13, 13, 13, 13], [8, 9, 12], [9, 13, 13], [9, 13, 13, 13, 13]]
[[1, 9, 13, 13, 13], [1, 1, 1, 8, 12, 13, 13], [], [9, 13, 13, 13], [9, 13, 13]]
[[1, 1, 1, 1, 9, 13, 13], [13, 13, 13], [9, 9, 12], [13, 13], [8], [13, 13, 13]]
[[1, 1, 1, 1, 13, 13], [13, 13], [9, 9, 13], [9, 12], [13], [8, 13, 13], [13, 13]]
[[1, 1, 1, 1, 13, 13], [13, 13], [13, 13], [9], [8, 9, 9], [12], [13, 13], [13, 13]]
[[1, 1, 13, 13], [1, 9, 9], [1, 13, 13], [13, 13], [9, 12], [13, 13], [], [8], [13, 13]]
[[1, 1, 1, 1, 13], [9, 13], [9, 13], [13], [13], [12, 13], [13], [13], [8, 13], [9, 13]]
[[1, 1, 1, 1, 13], [8, 13], [9, 13], [9, 13], [9, 13], [13], [13], [12], [13], [13], [13]]
[[1, 1, 1, 1, 13], [13], [13], [13], [13], [8, 13], [9, 9], [13], [13], [13], [9, 12], [13]]
[[1, 1, 1, 1, 13], [13], [13], [13], [13], [13], [13], [13], [8, 9], [13], [9, 9], [12], [13]]
[[1, 1, 1, 1, 13], [13], [13], [13], [13], [13], [8, 9], [13], [9], [13], [9], [12], [13], [13]]
[[1, 1, 1, 1, 13], [8, 9], [9], [13], [13], [13], [13], [13], [13], [], [12], [9], [13], [13], [13]]
[[1, 1, 1, 13], [1, 13], [13], [13], [13], [13], [13], [13], [9], [9], [12], [], [8], [9], [13], [13]]
[[1, 1, 1, 1, 9], [13], [13], [13], [13], [13], [13], [13], [9], [], [9], [8], [13], [], [12], [13], [13]]
[[1, 1, 1, 1, 9], [13], [13], [13], [13], [13], [13], [9], [9], [], [13], [], [12], [], [8], [13], [13], [13]]
[[1, 1, 1, 1, 9], [13], [13], [13], [13], [13], [13], [13], [13], [], [9], [9], [8], [], [], [], [12], [13], [13]]
-EndAllocation

Instance: [[1], [200], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[9, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13]]
[[13, 13], [9, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13]]
[[13], [9, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [9, 13, 13, 13], [13, 13, 13, 13]]
[[], [6, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [9, 13, 13], [13, 13, 13], [13, 13, 13]]
[[13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 13, 13], [9, 13, 13], [13, 13]]
[[], [13, 13], [13, 13], [6, 6, 6, 6, 9], [13, 13], [13, 13], [6, 6, 6, 13], [6, 13, 13]]
[[], [6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [9, 13], [13, 13], [13, 13]]
[[], [13, 13], [], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [9, 13], [13, 13]]
[[13], [13], [9, 13], [6, 6, 13], [13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [13], [13]]
[[13], [13], [13], [6, 13], [9, 13], [13], [6, 13], [6, 13], [6, 13], [13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [13], [13], [13], [6, 13], [13], [6, 13], [13], [6, 6, 9], [6, 13], [6, 6, 6]]
[[13], [13], [13], [13], [13], [13], [13], [13], [9], [6, 6, 6], [13], [6, 13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [9], [13], [6, 6], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [13], [13]]
[[13], [13], [13], [6, 9], [6, 6], [13], [6, 6], [6, 6], [13], [13], [6], [13], [13], [13], [13], [13]]
[[13], [6, 6], [6, 6], [9], [6, 6], [13], [13], [], [13], [13], [13], [13], [6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [6, 6], [13], [13], [], [13], [9], [13], [13], [13], [6, 6], [], [13], [6, 6], [13], [6, 6]]
[[13], [13], [], [13], [6, 6], [13], [9], [13], [], [13], [13], [6, 6], [13], [13], [6, 6], [13], [6, 6], [], [13]]
[[9], [], [], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [], [], [13], [13], [13]]
-EndAllocation

Instance: [[1], [199], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [133, 89, 66, 53, 45, 38, 33, 30, 26, 25, 22, 21, 20, 18, 17, 16, 16, 14, 13], Opt: [100, 67, 50, 40, 34, 29, 25, 23, 20, 19, 17, 16, 15, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[9, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13]]
[[12, 13], [9, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13]]
[[13], [9, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 12], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [9, 13, 13, 13], [12, 13, 13, 13]]
[[], [6, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [9, 13, 13], [12, 13, 13], [13, 13, 13]]
[[13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 12, 13], [9, 13, 13], [13, 13]]
[[], [13, 13], [12, 13], [6, 6, 6, 6, 9], [13, 13], [13, 13], [6, 6, 6, 13], [6, 13, 13]]
[[], [6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [9, 13], [12, 13], [13, 13]]
[[], [13, 13], [], [6, 6, 6, 6], [6, 6, 6, 6], [12, 13], [13, 13], [13, 13], [9, 13], [13, 13]]
[[13], [13], [9, 13], [13], [12, 13], [6, 6, 13], [6, 6, 6, 6], [6, 6, 13], [13], [13], [13]]
[[13], [6, 13], [13], [13], [9, 13], [13], [6, 12], [6, 13], [6, 13], [13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [12], [13], [13], [6, 13], [13], [6, 13], [13], [6, 6, 9], [6, 13], [6, 6, 6]]
[[13], [12], [13], [13], [13], [13], [13], [13], [9], [6, 6, 6], [13], [6, 13], [6, 6, 6], [6, 13]]
[[13], [13], [12], [9], [13], [6, 6], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [13], [13]]
[[13], [13], [13], [6, 9], [12], [13], [6, 6], [6, 6], [13], [6], [6, 6], [13], [13], [13], [13], [13]]
[[13], [12], [6, 6], [9], [6, 6], [13], [13], [], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13]]
[[13], [13], [13], [6, 6], [13], [13], [12], [], [9], [13], [13], [13], [6, 6], [], [13], [6, 6], [13], [6, 6]]
[[13], [12], [], [13], [6, 6], [13], [9], [13], [], [13], [13], [6, 6], [13], [13], [6, 6], [13], [6, 6], [], [13]]
[[9], [], [], [13], [13], [6, 6], [13], [12], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [], [], [13], [13], [13]]
-EndAllocation

Instance: [[1], [198], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 10, 10, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 10, 10, 12, 12], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 12], [10, 10, 13, 13, 13, 13, 13], [4, 4, 12, 13, 13, 13, 13, 13]]
[[13], [10, 10, 12, 12, 13], [13, 13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 13, 13, 13]]
[[], [4, 4, 4, 4, 4, 4, 12, 12], [10, 10, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13], [10, 10, 12, 12], [4, 13, 13, 13], [4, 13, 13, 13], [4, 4, 4, 4, 13]]
[[13], [4, 4, 13, 13], [13, 13], [13, 13], [12, 12, 13], [13, 13], [4, 4, 4, 4, 10, 10]]
[[], [13, 13], [13, 13], [12, 12], [4, 4, 4, 4, 4, 13], [13, 13], [10, 10, 13], [4, 13, 13]]
[[], [13, 13], [10, 10], [12, 12], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13]]
[[], [4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [12, 12], [13, 13], [], [13, 13], [10, 10], [13, 13]]
[[13], [4, 4, 13], [13], [13], [12, 12], [13], [4, 4, 13], [13], [10, 13], [4, 4, 13], [10, 13]]
[[10, 12], [13], [13], [13], [4, 4, 13], [10, 12], [13], [13], [4, 4, 13], [13], [13], [4, 4, 13]]
[[13], [4, 4, 13], [12], [13], [13], [10, 10], [4, 4, 13], [13], [13], [13], [13], [12], [4, 4, 13]]
[[13], [4, 13], [13], [13], [13], [13], [13], [12], [4, 4, 4, 4, 4], [12], [13], [13], [10, 10], [13]]
[[13], [4, 4, 4, 4], [12], [13], [12], [13], [13], [13], [13], [13], [13], [4, 4, 10], [10], [13], [13]]
[[12], [13], [13], [13], [13], [13], [13], [13], [13], [13], [4, 4], [10], [13], [4, 4, 4, 4], [10], [12]]
[[10], [4, 4, 4, 4], [13], [12], [13], [13], [], [13], [13], [10], [13], [13], [4, 4], [12], [13], [13], [13]]
[[13], [], [4, 4, 4], [12], [13], [13], [13], [13], [12], [10], [4, 4, 4], [13], [13], [13], [10], [], [13], [13]]
[[12], [13], [10], [13], [13], [13], [], [13], [12], [13], [], [13], [13], [13], [4, 4, 4], [13], [], [4, 4, 4], [10]]
[[10], [], [4, 4, 4], [], [13], [], [13], [13], [12], [13], [10], [], [12], [13], [13], [13], [4, 4, 4], [13], [13], [13]]
-EndAllocation

Instance: [[1], [197], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [132, 88, 66, 53, 44, 38, 33, 29, 26, 24, 22, 21, 20, 18, 17, 16, 14, 14, 13], Opt: [99, 66, 50, 40, 33, 29, 25, 22, 20, 18, 17, 16, 15, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 10, 10, 12], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 5, 5, 5, 5], [10, 10, 13, 13, 13, 13, 13], [5, 5, 12, 13, 13, 13, 13, 13]]
[[13], [10, 10, 12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13, 13]]
[[], [5, 12, 13, 13], [5, 5, 5, 5, 5, 5, 10, 10], [13, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [13, 13, 13], [10, 10, 12]]
[[13], [13, 13], [13, 13], [13, 13], [12, 13, 13], [5, 5, 5, 5, 5, 5, 5], [10, 10, 13]]
[[], [5, 13, 13], [5, 5, 5, 5, 5, 5], [12, 13], [13, 13], [13, 13], [10, 10, 13], [13, 13]]
[[], [13, 13], [10, 10], [12, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 13], [13, 13]]
[[], [], [13, 13], [13, 13], [5, 5, 12], [13, 13], [5, 5, 5, 5, 5], [13, 13], [10, 10], [13, 13]]
[[13], [13], [5, 5, 13], [5, 5, 13], [12], [13], [5, 5, 13], [5, 13], [10, 13], [13], [10, 13]]
[[13], [13], [5, 13], [5, 13], [10, 10], [12], [5, 13], [13], [5, 13], [5, 13], [5, 13], [5, 13]]
[[13], [13], [5, 12], [5, 13], [13], [10, 10], [13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 13]]
[[13], [13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5, 5], [12], [13], [13], [10, 10], [13]]
[[13], [13], [12], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [10], [13], [5, 10]]
[[13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [], [13], [5, 5, 5], [5, 10], [13], [13], [10], [12]]
[[10], [13], [13], [12], [5], [13], [], [13], [13], [10], [13], [13], [5, 5, 5], [13], [13], [13], [5, 5, 5]]
[[13], [], [13], [12], [13], [5, 5], [13], [5], [13], [10], [5, 5], [13], [13], [13], [10], [13], [5, 5], [13]]
[[13], [], [10], [13], [13], [13], [], [13], [12], [13], [5], [13], [13], [13], [5, 5], [13], [5, 5], [5, 5], [10]]
[[10], [], [13], [], [13], [5, 5], [13], [13], [5, 5], [13], [10], [], [12], [13], [13], [5, 5], [5], [13], [13], [13]]
-EndAllocation

Instance: [[1], [196], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [130, 88, 65, 53, 44, 37, 33, 29, 26, 24, 22, 21, 18, 18, 17, 16, 14, 14, 13], Opt: [98, 66, 49, 40, 33, 28, 25, 22, 20, 18, 17, 16, 14, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [12, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6], [6, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 12, 13, 13, 13, 13]]
[[6], [12, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13]]
[[], [6, 13, 13, 13], [12, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [6, 6, 13, 13], [13, 13, 13], [13, 13, 13], [12, 13, 13]]
[[13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 12]]
[[13], [13, 13], [6, 6, 6, 6], [13, 13], [12, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [6, 13], [13, 13], [13, 13], [13, 13], [12, 13], [6, 6, 6, 6], [13, 13]]
[[], [13, 13], [12, 13], [6, 6, 6, 6], [13, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [6, 13]]
[[13], [6, 6, 12], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13]]
[[13], [13], [13], [6, 6, 6], [6, 13], [6, 13], [6, 13], [6, 12], [6, 13], [13], [13], [6, 13]]
[[13], [6, 13], [13], [13], [6, 6, 6], [13], [13], [13], [6, 13], [6, 6, 6], [6, 12], [13], [13]]
[[13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [13], [12], [13], [6, 6, 6], [13], [13]]
[[13], [6, 6, 6], [6, 6, 6], [13], [12], [13], [13], [13], [], [13], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [12], [6, 6], [6, 6], [13], [13], [6], [6, 6], [13], [6, 6]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [6, 6], [6], [13], [13], [13], [6, 6], [12], [13], []]
[[12], [6, 6], [], [13], [13], [13], [6, 6], [13], [6, 6], [6, 6], [13], [13], [6], [13], [13], [], [13], [13]]
[[13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], [6, 6], [12], [13], [], [6, 6], [6], [], [], [13], [13]]
[[13], [13], [6, 6], [], [], [13], [6, 6], [], [], [13], [13], [13], [13], [6, 6], [6], [13], [13], [12], [13], [6, 6]]
-EndAllocation

Instance: [[1], [195], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [130, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [98, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[2, 4, 6, 8, 10, 11, 12, 12], [1, 3, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[3, 10, 11], [1, 2, 4, 6, 8, 13, 13, 13, 13, 13], [9, 12, 12, 13, 13, 13, 13]]
[[12], [1, 2, 4, 6, 13, 13, 13, 13], [3, 8, 9, 10, 11, 12], [13, 13, 13, 13, 13]]
[[], [1, 6, 8, 11, 12, 13], [2, 9, 10, 13, 13], [3, 4, 13, 13, 13], [12, 13, 13, 13]]
[[13], [4, 6, 13, 13], [1, 11, 13, 13], [12, 12, 13], [2, 3, 8, 9, 10], [13, 13, 13]]
[[13], [11, 13, 13], [2, 9, 13, 13], [8, 12, 12], [1, 4, 6, 10, 13], [3, 13], [13, 13]]
[[], [2, 3, 12, 13], [1, 12, 13], [4, 13, 13], [10, 13], [9, 11, 13], [6, 13, 13], [8, 13]]
[[], [1, 13, 13], [13, 13], [4, 13], [12, 13], [6, 10, 13], [3, 11, 13], [2, 8, 9], [12, 13]]
[[], [13, 13], [13, 13], [12, 13], [3, 11], [12, 13], [1, 6, 13], [8, 13], [2, 9, 10], [4, 13]]
[[13], [1, 13], [10, 13], [12], [9, 13], [8, 13], [4, 13], [2, 6, 13], [13], [11, 12], [3, 13]]
[[13], [12], [13], [13], [13], [1, 2, 3, 11], [4, 13], [10, 12], [6, 13], [9, 13], [13], [8, 13]]
[[13], [4, 13], [3, 13], [6, 13], [13], [1, 13], [13], [2, 13], [13], [12], [8, 12], [9, 10], [11]]
[[13], [13], [1, 12], [13], [3, 11], [13], [13], [8, 10], [6, 12], [13], [13], [9], [4, 13], [2, 13]]
[[10], [4, 13], [13], [12], [13], [2, 12], [13], [13], [6, 9], [13], [8], [13], [13], [1, 13], [3, 11]]
[[13], [12], [8], [2], [3, 13], [6, 11], [13], [13], [13], [13], [10], [13], [9], [1, 13], [4, 12], [13]]
[[13], [2, 13], [11], [13], [13], [13], [3, 12], [1, 8], [12], [13], [10], [9], [13], [13], [6], [13], [4]]
[[13], [13], [2, 6], [13], [9], [8], [4], [13], [11], [13], [12], [13], [13], [13], [13], [12], [10], [1, 3]]
[[13], [1, 13], [13], [11], [13], [6], [3], [8], [10], [], [12], [13], [13], [2, 9], [4], [12], [13], [13], [13]]
[[13], [13], [1], [13], [13], [2], [4], [10], [12], [6], [11], [13], [13], [13], [9], [13], [12], [3], [13], [8]]
-EndAllocation

Instance: [[1], [194], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6, 8, 9, 9, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 11, 12, 13, 13, 13, 13, 13, 13, 13], [4, 6, 6, 8, 9, 9, 13, 13]]
[[12, 13, 13, 13, 13, 13], [4, 4, 4, 4, 8, 9, 9], [6, 6, 11, 13, 13, 13, 13]]
[[8, 9, 9, 12], [4, 4, 4, 4, 11], [6, 6, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[4, 8, 9, 12], [11], [6, 6, 13, 13, 13], [4, 4, 4, 13, 13, 13], [9, 13, 13, 13]]
[[4, 13, 13, 13], [13, 13, 13], [4, 4, 4, 12], [11], [8, 9, 9, 13], [6, 6, 13, 13]]
[[6, 6, 12, 13], [13, 13], [4, 4, 4, 4, 13], [8, 9, 9], [11, 13, 13], [13], [13, 13]]
[[13, 13], [13, 13], [6, 6, 9, 11], [4, 4, 4, 4, 9], [13], [13], [8, 12, 13], [13, 13]]
[[4, 4, 4, 4, 11], [6, 6, 12], [13, 13], [13, 13], [13, 13], [13], [9, 9], [8], [13, 13]]
[[13, 13], [13, 13], [13, 13], [6, 6, 13], [], [11, 12], [], [9, 9], [4, 4, 4, 4, 8], [13, 13]]
[[6, 13], [13], [4, 4, 13], [13], [9, 13], [8, 13], [13], [11], [6, 12], [4, 4, 13], [9, 13]]
[[9, 13], [13], [4, 4, 13], [4, 4, 13], [13], [13], [9, 13], [12], [], [6, 11], [6, 13], [8, 13]]
[[4, 4, 11], [4, 13], [13], [4, 13], [13], [13], [6, 13], [13], [12], [13], [9, 9], [6, 13], [8]]
[[4, 4, 8], [13], [13], [13], [13], [13], [4, 13], [4, 11], [12], [9, 9], [6, 6], [13], [13], [13]]
[[12], [13], [13], [13], [13], [13], [13], [4, 4, 4, 4], [8, 9], [6], [6, 11], [13], [9], [13], [13]]
[[13], [4, 4, 4], [13], [13], [13], [4, 13], [13], [], [9], [12], [13], [8, 9], [6, 6], [11], [13], [13]]
[[9], [13], [4, 4, 4, 4], [13], [13], [13], [13], [8], [], [13], [12], [13], [6, 6], [9], [11], [13], [13]]
[[13], [13], [13], [13], [13], [13], [4], [13], [12], [], [11], [13], [4, 4, 4], [8], [9], [13], [9], [6, 6]]
[[9], [13], [4], [13], [13], [13], [8], [11], [13], [6, 6], [13], [4, 4, 4], [9], [12], [], [], [13], [13], [13]]
[[13], [13], [13], [13], [4, 4, 4], [13], [13], [6, 6], [9], [13], [8], [], [9], [11], [12], [4], [], [], [13], [13]]
-EndAllocation

Instance: [[1], [193], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 6, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [129, 86, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [97, 65, 49, 39, 33, 28, 25, 22, 20, 18, 17, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[13, 13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 6, 10, 11, 12, 13, 13, 13, 13, 13]]
[[12, 13, 13], [4, 4, 4, 4, 4, 4, 6, 10, 11, 13, 13], [13, 13, 13, 13, 13, 13]]
[[13], [4, 4, 4, 4, 4, 4, 10, 12, 13], [6, 13, 13, 13, 13], [11, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 6, 13], [10, 12, 13], [11, 13, 13, 13]]
[[], [13, 13, 13], [4, 4, 4, 4, 4, 4, 6, 12], [13, 13, 13], [11, 13, 13], [10, 13, 13]]
[[13, 13], [13, 13], [13, 13], [6, 13], [10, 12, 13], [4, 4, 4, 4, 4, 4, 11], [13, 13]]
[[13], [13, 13], [6, 12, 13], [11, 13], [13, 13], [10, 13], [4, 4, 4, 4, 4, 4], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [6, 10, 12], [11, 13], [13], [4, 4, 4, 4, 4, 4]]
[[], [4, 4, 4, 11], [10, 13], [13, 13], [13, 13], [12, 13], [6, 13], [13, 13], [], [4, 4, 4, 13]]
[[13], [13], [10, 13], [4, 13], [11, 13], [4, 4, 13], [12], [13], [4, 6, 13], [13], [4, 4, 13]]
[[12], [13], [6, 13], [13], [13], [4, 4, 13], [10, 11], [13], [4, 4, 13], [13], [4, 4, 13], [13]]
[[13], [4, 10], [4, 13], [4, 4, 12], [11], [4, 13], [13], [13], [6, 13], [13], [13], [4, 13], [13]]
[[13], [4, 12], [4, 13], [4, 4, 4, 4], [13], [13], [13], [13], [10], [13], [13], [6, 11], [13], [13]]
[[12], [4, 13], [13], [13], [4, 4, 4, 4], [13], [4, 13], [13], [6], [13], [11], [13], [10], [13], [13]]
[[13], [13], [13], [4, 11], [], [13], [13], [4, 13], [4, 13], [13], [6], [13], [13], [10], [12], [4, 4, 4]]
[[13], [4, 4, 4, 4], [], [13], [], [12], [13], [13], [13], [4, 11], [10], [4, 6], [13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [12], [], [4, 4, 4], [], [13], [4, 4, 4], [13], [6], [13], [13], [11], [10], [13]]
[[], [13], [12], [13], [], [13], [11], [13], [13], [4, 4, 4], [10], [13], [13], [4], [4, 4, 6], [13], [13], [], [13]]
[[12], [4, 6], [], [4, 4, 4], [13], [13], [13], [13], [13], [13], [13], [13], [10], [], [13], [], [], [11], [13], [4, 4]]
-EndAllocation

Instance: [[1], [192], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 6, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[6, 11, 12, 12, 12, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 12, 12, 12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11, 13, 13, 13]]
[[6], [5, 5, 5, 5, 5, 11, 13, 13], [5, 5, 13, 13, 13, 13], [12, 12, 12, 13, 13]]
[[], [11, 12, 12, 12], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 6], [13, 13, 13, 13]]
[[], [11, 13, 13], [5, 5, 5, 5, 5, 5, 5, 6], [12, 13, 13], [13, 13, 13], [12, 12, 13]]
[[], [6, 13, 13], [13, 13], [13, 13], [5, 5, 13, 13], [5, 5, 5, 5, 5, 12], [11, 12, 12]]
[[13], [11, 13], [5, 5, 5, 5, 5, 5], [12, 12], [13, 13], [13, 13], [5, 6, 12], [13, 13]]
[[], [5, 12, 12], [5, 6, 13], [13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [11, 12], [13, 13]]
[[], [12, 13], [12, 12], [11, 13], [5, 5, 5, 5, 5], [5, 5, 13], [13, 13], [13], [6], [13, 13]]
[[13], [5, 5, 13], [5, 5, 12], [5, 5, 11], [5, 6, 13], [13], [13], [13], [13], [12, 12], [13]]
[[12], [13], [5, 11], [5, 12], [6, 12], [5, 13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13]]
[[11], [5, 13], [12], [6, 13], [13], [5, 12], [5, 5, 5, 5], [12], [13], [13], [13], [13], [5, 13]]
[[13], [5, 5, 5], [13], [5, 13], [13], [12], [6, 12], [13], [11], [12], [13], [13], [5, 5, 5], [13]]
[[13], [12], [13], [5, 5], [12], [13], [5, 5, 6], [12], [13], [13], [11], [5, 5, 5], [13], [13], [13]]
[[13], [12], [5, 5, 5], [13], [5, 5, 5], [13], [12], [13], [11], [6], [13], [13], [5], [13], [12], [13]]
[[12], [13], [11], [13], [5, 5, 5], [5], [12], [6], [], [13], [5, 5, 5], [13], [13], [12], [13], [13], [13]]
[[13], [12], [5, 6], [11], [13], [13], [12], [5, 5], [13], [5, 5], [13], [5, 5], [], [12], [13], [], [13], [13]]
[[13], [12], [13], [13], [12], [6], [12], [5, 5], [], [13], [5, 5], [5], [13], [13], [13], [11], [], [13], [5, 5]]
[[], [11], [13], [13], [5], [], [5, 5], [5, 5], [12], [13], [13], [5, 5], [12], [12], [13], [13], [6], [], [13], [13]]
-EndAllocation

Instance: [[1], [191], 20]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,20. UB Alg: [128, 85, 64, 52, 42, 37, 32, 29, 26, 24, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [96, 64, 48, 39, 32, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,20:
-StartAllocation
[[4, 4, 4, 4, 4, 10, 11, 12, 13], [4, 4, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [4, 4, 4, 4, 4, 4, 4, 13, 13, 13, 13], [10, 11, 12, 13, 13, 13, 13]]
[[13, 13], [4, 4, 4, 4, 4, 4, 4, 11, 13], [13, 13, 13, 13], [10, 12, 13, 13, 13]]
[[], [10, 11, 12, 13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 4, 13], [13, 13, 13, 13]]
[[], [11, 13, 13], [10, 13, 13], [4, 4, 4, 4, 4, 4, 4, 13], [13, 13, 13], [12, 13, 13]]
[[], [13, 13], [4, 4, 13, 13], [13, 13], [4, 4, 13, 13], [11, 13, 13], [4, 4, 4, 10, 12]]
[[13], [11, 13], [13, 13], [10, 12], [13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4, 4]]
[[], [12, 13], [13, 13], [10], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4, 4], [11, 13], [13, 13]]
[[], [4, 13], [11, 12], [10, 13], [13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 4], [], [13, 13]]
[[13], [13], [12], [11, 13], [4, 4, 13], [10, 13], [4, 4, 13], [4, 13], [13], [4, 4, 13], [13]]
[[13], [13], [4, 4, 13], [13], [10, 11], [4, 13], [13], [4, 4, 13], [13], [4, 4, 13], [13], [12]]
[[13], [13], [4, 12], [4, 13], [13], [4, 13], [13], [13], [4, 4, 10], [4, 4, 11], [13], [13], [13]]
[[13], [4, 13], [13], [4, 13], [13], [12], [10], [13], [4, 11], [13], [13], [4, 4, 4, 4], [13], [13]]
[[13], [12], [13], [13], [4, 4, 4, 4], [13], [13], [10], [13], [4, 4, 4], [11], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [10], [], [11], [13], [13], [13], [4, 4, 4, 4], [13], [12], [4, 4, 4]]
[[12], [13], [11], [13], [13], [], [13], [4, 4, 4, 4], [13], [13], [], [10], [13], [13], [4, 4, 4], [13], [13]]
[[13], [13], [13], [11], [13], [4, 4, 4], [12], [13], [13], [13], [13], [13], [4], [4, 4, 4], [13], [], [10], []]
[[13], [11], [13], [4, 4, 4], [], [13], [13], [12], [], [13], [], [4], [13], [13], [13], [4, 4, 4], [13], [13], [10]]
[[13], [11], [10], [13], [], [4, 4, 4], [13], [], [13], [13], [13], [], [12], [], [13], [13], [4], [13], [13], [4, 4, 4]]
-EndAllocation

Instance: [[1], [210], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 8, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 26, 24, 22, 20, 18, 18, 17, 16, 16, 14, 13], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 20, 18, 17, 15, 14, 14, 13, 12, 12, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[8, 11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 8, 11, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11, 13], [8, 13, 13, 13, 13]]
[[13], [11, 13, 13, 13], [8, 13, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13]]
[[13], [13, 13, 13], [8, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11], [13, 13, 13], [13, 13, 13]]
[[], [5, 8, 13, 13], [5, 13], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 11], [13, 13, 13]]
[[13], [8, 13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [11, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 11, 13], [5, 5, 5, 5, 5, 5], [13, 13], [8, 13], [13, 13]]
[[], [5, 5, 5, 5, 5], [13, 13], [5, 5, 13], [13, 13], [13, 13], [11, 13], [13, 13], [8, 13], [13]]
[[], [13, 13], [13, 13], [], [13, 13], [5, 5, 13], [13], [5, 5, 5, 5, 5], [13, 13], [11, 13], [8, 13]]
[[13], [13], [11, 13], [8, 13], [13], [5, 5, 13], [5, 13], [5, 5, 13], [13], [13], [13], [5, 5, 13]]
[[13], [5, 13], [13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [11], [5, 13], [8, 13], [5, 13]]
[[13], [8, 11], [13], [5, 5, 5, 5], [13], [5, 13], [13], [13], [13], [13], [13], [13], [5, 13], [5, 13]]
[[13], [13], [5, 13], [5, 13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 13], [5, 13], [8], [11], [13]]
[[13], [13], [5, 5, 5], [11], [13], [13], [13], [13], [13], [13], [13], [13], [5, 13], [8], [13], [5, 5, 5]]
[[13], [13], [13], [13], [13], [5, 5, 5], [13], [5, 5, 5], [11], [13], [8], [13], [5], [13], [13], [13], [13]]
[[13], [13], [13], [5, 5, 5], [5], [8], [13], [13], [13], [13], [], [13], [5, 5, 5], [13], [13], [13], [11], [13]]
[[], [13], [8], [13], [13], [13], [13], [5, 5, 5], [13], [13], [], [13], [13], [5, 5, 5], [13], [11], [13], [5], [13]]
[[13], [13], [13], [], [8], [5], [13], [13], [13], [13], [5, 5], [13], [13], [5, 5], [13], [11], [], [5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [5], [13], [13], [5, 5], [], [], [13], [13], [5, 5], [13], [], [8], [13], [11], [5, 5], [13]]
-EndAllocation

Instance: [[1], [209], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [140, 93, 70, 56, 46, 40, 36, 32, 28, 25, 24, 22, 20, 18, 18, 17, 16, 14, 14, 13], Opt: [105, 70, 53, 42, 35, 30, 27, 24, 21, 19, 18, 17, 15, 14, 14, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 12, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 13, 13, 13, 13, 13], [12, 13, 13, 13, 13, 13, 13]]
[[12], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [13, 13, 13, 13], [12, 13, 13, 13]]
[[12], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [6, 6, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [13, 13], [6, 6, 6, 12], [6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13]]
[[], [13, 13], [6, 6, 6, 6, 12], [6, 13, 13], [13, 13], [6, 13, 13], [6, 6, 6, 13], [13, 13]]
[[], [6, 12, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 13], [13], [13, 13], [13, 13]]
[[], [6, 6, 6, 6], [6], [13, 13], [12, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[13], [6, 6, 13], [6, 13], [6, 6, 13], [13], [13], [13], [12, 13], [6, 6, 13], [6, 6, 13], [13]]
[[13], [13], [6, 13], [6, 13], [6, 13], [6, 6, 12], [6, 13], [6, 13], [13], [6, 13], [6, 13], [13]]
[[13], [6, 13], [13], [13], [6, 13], [13], [13], [6, 13], [13], [6, 13], [6, 13], [6, 12], [6, 6, 6]]
[[13], [6, 13], [13], [6, 6, 6], [6, 12], [13], [13], [13], [6, 6, 6], [6, 13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [13], [6, 6, 6], [12]]
[[13], [13], [13], [6, 6, 6], [13], [13], [], [13], [13], [6, 6, 6], [13], [13], [6, 6], [13], [13], [6, 12]]
[[12], [13], [13], [6, 6], [6, 6], [6, 6], [6, 6], [13], [6], [13], [13], [13], [13], [13], [13], [13], [13]]
[[13], [13], [6, 6], [13], [6, 6], [13], [12], [6], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [], [13]]
[[12], [13], [6, 6], [13], [13], [13], [6, 6], [13], [], [6, 6], [], [6, 6], [13], [13], [13], [13], [6], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [6, 6], [13], [13], [], [13], [13], [6], [13], [13], [6, 6], [], [12], [13], [13], []]
[[], [6, 6], [], [13], [6, 6], [6, 6], [], [6, 6], [13], [13], [12], [], [13], [6], [13], [13], [13], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [208], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 6, 8, 8, 9, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [138, 93, 69, 56, 46, 40, 34, 32, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [104, 70, 52, 42, 35, 30, 26, 24, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[8, 9, 9, 10, 11, 12, 12], [1, 5, 6, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 9, 10], [8, 9, 11, 12, 12, 13, 13, 13], [1, 5, 8, 13, 13, 13, 13, 13, 13]]
[[8, 9], [8, 9, 10, 11, 12, 12], [5, 6, 13, 13, 13, 13], [1, 13, 13, 13, 13, 13]]
[[13], [8, 9, 9, 13], [1, 11, 13, 13, 13], [6, 10, 12, 12, 13], [5, 8, 13, 13, 13]]
[[13], [13, 13, 13], [11, 12, 12], [5, 8, 8, 9, 9], [6, 10, 13, 13], [1, 13, 13, 13]]
[[], [5, 12, 12], [6, 9, 9, 13], [8, 11, 13], [1, 8, 13, 13], [10, 13, 13], [13, 13, 13]]
[[], [8, 13, 13], [5, 13, 13], [9, 9, 13], [12, 13], [10, 13], [1, 8, 12, 13], [6, 11, 13]]
[[], [1, 13, 13], [13, 13], [9, 9, 10], [8, 12, 12], [8, 13], [13], [6, 11, 13], [5, 13, 13]]
[[13], [8, 13], [6, 13], [1, 5, 12], [12, 13], [13, 13], [13], [9, 9, 10], [8, 11], [13, 13]]
[[13], [8, 13], [10, 13], [13], [8, 13], [13], [9, 13], [1, 6, 13], [12, 12], [5, 11], [9, 13]]
[[13], [1, 6, 11], [5, 13], [13], [13], [8, 13], [9, 13], [9, 13], [13], [12], [10, 13], [8, 12]]
[[13], [12], [8, 13], [1, 8, 10], [13], [13], [9, 11], [13], [5, 13], [6, 13], [9, 12], [13], [13]]
[[13], [1, 6, 13], [13], [13], [13], [13], [9, 11], [12], [5, 13], [9], [13], [13], [8, 10], [8, 12]]
[[11], [13], [6, 12], [13], [12], [13], [13], [13], [13], [13], [13], [1, 8, 9], [8, 9], [5, 10], [13]]
[[12], [13], [6, 11], [13], [13], [13], [5, 12], [13], [9], [8, 9], [1, 13], [8], [13], [13], [13], [10]]
[[13], [13], [10], [13], [13], [12], [6, 11], [9], [5], [13], [1, 13], [8, 8], [13], [13], [13], [12], [9]]
[[13], [13], [13], [12], [13], [1, 13], [13], [5, 8], [13], [9], [13], [12], [10], [8], [9], [6], [13], [11]]
[[11], [12], [13], [5], [13], [13], [8], [13], [10], [6], [13], [13], [12], [13], [1, 9], [8], [13], [13], [9]]
[[], [6], [13], [9], [13], [13], [13], [10], [13], [11], [13], [9], [5], [8], [12], [8], [13], [1, 13], [13], [12]]
[[13], [5, 6], [11], [], [13], [12], [13], [13], [13], [1], [10], [12], [], [13], [13], [8], [9], [9], [8], [13], [13]]
-EndAllocation

Instance: [[1], [207], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [138, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [104, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13]]
[[12], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [11, 12, 13, 13], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13], [11, 12, 13]]
[[], [12, 13, 13], [6, 6, 6, 6, 11], [13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6]]
[[13, 13], [12, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [11, 13]]
[[], [13, 13], [11, 13], [12, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [6, 6, 6], [6, 6, 6, 6], [13, 13], [11], [13, 13], [13, 13], [6, 6, 12], [13, 13], [13, 13]]
[[13], [6, 6, 13], [6, 6, 13], [6, 6, 6, 6], [11, 13], [13], [12, 13], [13], [6, 13], [13], [13]]
[[13], [6, 6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 12], [11, 13], [13]]
[[12], [13], [6, 6, 6], [13], [6, 13], [6, 13], [6, 11], [13], [6, 13], [6, 13], [13], [6, 13], [13]]
[[13], [6, 6, 6], [13], [13], [11], [6, 6, 6], [6, 13], [13], [13], [12], [6, 13], [6, 13], [13], [13]]
[[13], [13], [6, 6], [13], [13], [13], [6, 6, 6], [13], [12], [13], [13], [13], [6, 6, 6], [6, 11], [13]]
[[13], [13], [6, 6], [12], [13], [13], [13], [6, 11], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [13]]
[[12], [13], [13], [13], [13], [13], [13], [13], [6, 11], [6, 6], [], [6, 6], [13], [6, 6], [6, 6], [13], [13]]
[[], [6, 6], [13], [6, 6], [13], [13], [11], [13], [6, 6], [13], [12], [13], [13], [13], [13], [6, 6], [13], [6]]
[[13], [], [13], [13], [11], [13], [13], [6, 6], [13], [6, 6], [13], [13], [6, 6], [12], [13], [], [6], [6, 6], [13]]
[[13], [13], [6, 6], [6, 6], [12], [13], [13], [], [13], [], [6, 6], [6], [13], [13], [13], [], [6, 6], [11], [13], [13]]
[[13], [13], [], [], [11], [], [6], [6, 6], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [], [12], [13], [6, 6], [13]]
-EndAllocation

Instance: [[1], [206], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [137, 92, 69, 56, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [103, 69, 52, 42, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 13, 13]]
[[9], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [9, 13, 13, 13], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13], [9, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [13, 13, 13], [9, 13, 13], [6, 6, 6, 13]]
[[13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [9, 13]]
[[], [9, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [6], [6, 6, 6, 6], [13, 13], [13, 13], [9, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13]]
[[13], [6, 6, 13], [6, 6, 13], [9, 13], [13], [13], [6, 13], [13], [6, 6, 13], [6, 6, 13], [13]]
[[13], [6, 6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [9, 13], [13], [6, 13], [13], [6, 13], [13]]
[[13], [13], [6, 6, 6], [13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 6, 9], [13], [6, 13], [13]]
[[13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [6, 13], [13], [9], [13], [6, 13], [6, 13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 6], [13], [13], [6, 9], [13], [13], [6, 6, 6], [6, 6, 6], [13]]
[[13], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [6, 6], [13], [6, 9], [13]]
[[13], [13], [13], [13], [13], [13], [13], [13], [6], [6, 6], [9], [6, 6], [13], [6, 6], [6, 6], [13], [13]]
[[], [6, 6], [13], [6, 9], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], []]
[[13], [], [13], [], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [13], [9], [6], [6, 6], [13]]
[[13], [13], [6, 6], [6, 6], [13], [9], [13], [13], [13], [], [6, 6], [6], [13], [13], [13], [], [6, 6], [], [13], [13]]
[[13], [13], [], [], [13], [], [6, 6], [6, 6], [13], [13], [13], [6, 6], [6], [13], [6, 6], [13], [], [13], [13], [9], [13]]
-EndAllocation

Instance: [[1], [205], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [137, 92, 69, 54, 46, 40, 34, 30, 28, 25, 24, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [103, 69, 52, 41, 35, 30, 26, 23, 21, 19, 18, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 13, 13]]
[[8], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [8, 13, 13, 13], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13], [8, 13, 13]]
[[], [8, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 13]]
[[13], [8, 13, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 8], [13, 13], [13, 13], [6, 13]]
[[], [6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [8, 13]]
[[13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [13], [13], [13], [6, 6, 13], [6, 13], [8, 13]]
[[13], [6, 6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [8, 13], [13]]
[[13], [13], [6, 6, 6], [13], [13], [6, 13], [13], [13], [6, 6, 6], [6, 13], [8, 13], [6, 13], [13]]
[[13], [6, 6, 6], [13], [13], [6, 6, 8], [6, 6, 6], [13], [13], [13], [13], [6, 13], [13], [13], [13]]
[[13], [13], [6, 6], [13], [13], [13], [6, 8], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13]]
[[13], [13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 8], [13], [6, 6], [13], [6, 6], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [13], [6, 6], [6, 8], [], [6, 6], [13], [6, 6], [6, 6], [13], [13]]
[[], [6, 6], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13], [13], [13], [6, 8], [13], [6, 6], [13], []]
[[13], [], [13], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [6, 8], [], [], [6, 6], [13]]
[[13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [], [6, 6], [6], [13], [13], [13], [], [6, 6], [], [13], [8]]
[[13], [13], [], [], [13], [], [6], [6, 6], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [], [8], [13], [6, 6], [13]]
-EndAllocation

Instance: [[1], [204], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 4, 5, 6, 8, 9, 10, 10, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [136, 90, 68, 54, 45, 40, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [102, 68, 51, 41, 34, 30, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [1, 2, 4, 5, 6, 8, 9, 10, 10, 11, 11, 11, 12, 13]]
[[13, 13, 13], [4, 5, 6, 8, 9, 11, 11, 11, 13], [1, 2, 10, 10, 12, 13, 13, 13, 13]]
[[12], [1, 5, 13, 13, 13, 13], [2, 6, 8, 9, 10, 11, 11, 11], [4, 10, 13, 13, 13, 13]]
[[], [1, 5, 9, 10, 11, 11], [4, 11, 13, 13, 13], [2, 6, 8, 12, 13, 13], [10, 13, 13, 13]]
[[], [1, 2, 4, 11, 13, 13], [13, 13, 13], [5, 8, 12, 13], [6, 9, 13, 13], [10, 10, 11, 11]]
[[], [6, 11, 11, 12], [5, 13, 13], [8, 9, 13], [4, 10, 10, 13], [2, 11, 13], [1, 13, 13, 13]]
[[13], [1, 6, 11, 13], [2, 5, 8, 13], [11, 13], [10, 10, 11], [4, 9, 12], [13, 13], [13, 13]]
[[], [2, 11, 13], [1, 13, 13], [4, 6, 8, 11], [5, 12, 13], [13], [11, 13], [9, 10, 10], [13, 13]]
[[], [2, 4, 5, 13], [13, 13], [13, 13], [6, 8, 13], [10, 13], [11, 11], [9, 12], [1, 10], [11, 13]]
[[13], [1, 11], [13], [5, 9], [13], [4, 6, 13], [2, 10, 13], [8, 11], [10, 13], [12, 13], [11, 13]]
[[12], [6, 13], [13], [4, 11], [9, 13], [13], [1, 8, 13], [13], [10, 11], [5, 13], [2, 13], [10, 11]]
[[10, 11], [13], [10, 11], [13], [5, 13], [6, 8], [13], [13], [13], [9, 12], [2, 11], [13], [1, 4, 13]]
[[13], [4, 13], [13], [6, 11], [13], [10], [11], [2, 13], [12], [13], [5, 13], [1, 13], [8, 11], [9, 10]]
[[13], [13], [13], [13], [11], [8, 10], [1, 4, 12], [6, 10], [13], [13], [13], [11], [13], [9], [2, 5, 11]]
[[10], [13], [5, 11], [2, 13], [11], [4, 12], [13], [10], [13], [9], [1, 13], [11], [6, 8], [13], [13], [13]]
[[12], [1, 13], [11], [11], [13], [6], [9], [13], [5, 10], [13], [13], [4, 8], [11], [2, 13], [10], [13], [13]]
[[13], [11], [13], [13], [5, 10], [11], [13], [6], [1, 10], [13], [13], [8], [13], [13], [4], [11], [9], [2, 12]]
[[], [13], [10], [13], [13], [2], [11], [13], [11], [1, 9], [10], [13], [11], [13], [12], [13], [4, 8], [13], [5, 6]]
[[13], [2, 11], [13], [], [13], [1, 13], [11], [4], [11], [6], [12], [13], [13], [9], [10], [5], [10], [13], [13], [8]]
[[8], [13], [13], [9], [4], [11], [10], [13], [], [12], [10], [13], [13], [13], [11], [11], [13], [1, 5, 6], [2], [13], []]
-EndAllocation

Instance: [[1], [203], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6, 8, 9, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [136, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [102, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 8, 11, 12, 12, 13], [6, 6, 9, 9, 10, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 13, 13, 13, 13, 13, 13], [4, 10, 11], [6, 6, 8, 9, 9, 12, 12, 13, 13]]
[[11, 12, 12, 13], [4, 4, 4, 4, 13, 13, 13, 13], [6, 6, 8], [9, 9, 10, 13, 13, 13]]
[[6, 6, 9, 9, 10, 12], [8, 11, 13], [4, 4, 4, 4, 13, 13], [13, 13], [12, 13, 13, 13]]
[[13, 13, 13], [6, 13, 13, 13], [12, 12], [8, 11], [4, 4, 4, 4, 6, 9, 9], [10, 13, 13]]
[[4, 4, 4, 4, 13], [10, 13, 13], [12, 12], [8, 13, 13], [9, 11, 13], [6, 6], [9, 13, 13]]
[[11, 13], [4, 4, 13, 13], [4, 4, 6, 6, 13], [8], [9, 12, 12], [10, 13], [9, 13], [13, 13]]
[[13, 13], [13, 13], [13, 13], [9, 9], [12, 12], [11], [4, 4, 4, 4], [6, 6, 8, 10], [13, 13]]
[[13, 13], [11, 13], [13, 13], [4, 4, 4, 13], [10, 13], [], [4, 12, 12], [8], [9, 9], [6, 6, 13]]
[[9, 9], [8, 13], [12, 13], [4, 4, 4, 13], [10, 13], [13], [11], [6, 6], [12, 13], [4, 13], [13]]
[[4, 4, 13], [8, 11], [13], [6, 13], [13], [10, 12], [9, 9], [13], [13], [4, 4, 12], [6, 13], [13]]
[[9, 12], [10], [13], [13], [6, 13], [9, 11], [13], [13], [4, 4, 4, 4], [13], [8, 13], [6, 12], [13]]
[[4, 13], [6, 13], [4, 4, 12], [13], [13], [13], [13], [10], [11], [9, 9], [6, 8], [4, 13], [12], [13]]
[[12], [12], [11], [13], [13], [8, 10], [13], [13], [13], [13], [13], [13], [9, 9], [4, 4, 4, 4], [6, 6]]
[[13], [6, 9], [13], [13], [13], [12], [12], [10], [13], [9], [13], [4, 4, 4, 4], [13], [11], [13], [6, 8]]
[[13], [13], [13], [9], [13], [13], [13], [10], [4, 4, 4], [13], [11], [12], [12], [9], [13], [4, 8], [6, 6]]
[[13], [9], [4, 4, 4, 4], [13], [13], [13], [13], [13], [12], [10], [11], [9], [], [8], [13], [12], [13], [6, 6]]
[[6, 6], [13], [13], [13], [13], [13], [10], [4], [13], [12], [4, 4, 4], [8], [], [11], [9], [13], [12], [13], [9]]
[[9], [4, 4, 4], [13], [13], [13], [13], [6, 6], [8], [11], [], [4, 9], [], [12], [12], [13], [13], [], [10], [13], [13]]
[[4, 4, 4], [13], [13], [13], [13], [13], [13], [4], [12], [], [8], [], [], [6, 6], [13], [12], [9], [9], [10], [13], [11]]
-EndAllocation

Instance: [[1], [202], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 8, 8, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [134, 90, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [101, 68, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[4, 4, 4, 4, 4, 4, 10, 11, 12, 12], [8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 4, 4, 12, 13, 13, 13, 13], [10, 11, 13], [8, 8, 12, 13, 13, 13, 13]]
[[11, 12, 12, 13], [4, 4, 4, 4, 4, 4, 13, 13, 13], [8, 8, 10], [13, 13, 13, 13, 13]]
[[10, 12, 12], [8, 8, 11], [4, 4, 4, 4, 4, 4, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13], [12, 12], [8, 8, 11], [4, 4, 4, 4, 4, 4, 10], [13, 13, 13]]
[[4, 4, 4, 4, 4, 4, 13], [10, 13, 13], [12, 12, 13], [8, 8, 13], [11, 13, 13], [], [13, 13]]
[[13, 13], [13, 13], [4, 4, 4, 4, 4, 4], [8, 8, 13], [12, 12], [10, 11], [13, 13], [13, 13]]
[[13, 13], [13, 13], [13, 13], [13], [12, 12], [11], [4, 4, 4, 4, 4, 4], [8, 8, 10], [13, 13]]
[[13, 13], [12, 12], [13, 13], [13, 13], [10, 13], [], [4, 4, 4, 4, 4, 4], [8, 8], [11], [13, 13]]
[[12, 13], [13], [13], [4, 4, 4, 13], [13], [4, 4, 4, 13], [10, 13], [8, 8], [11, 12], [13], [13]]
[[8, 13], [8, 13], [4, 4, 13], [13], [13], [4, 4, 13], [13], [13], [13], [4, 4, 12], [11], [10, 12]]
[[12], [4, 13], [13], [13], [13], [13], [13], [12], [4, 4, 4, 4, 4], [10, 11], [8, 13], [13], [8, 13]]
[[13], [13], [11], [13], [13], [13], [13], [13], [13], [13], [8, 12], [4, 4, 4, 4, 4], [4, 12], [8, 10]]
[[4, 4, 4, 4], [13], [13], [13], [13], [12], [13], [13], [13], [13], [12], [8, 10], [11], [13], [4, 4, 8]]
[[13], [13], [10], [13], [13], [13], [13], [13], [13], [], [12], [4, 4, 4, 4], [13], [4, 12], [4, 11], [8, 8]]
[[13], [13], [13], [13], [13], [13], [11], [10], [4, 4, 4, 4], [13], [13], [12], [12], [8, 8], [], [13], [4, 4]]
[[13], [4, 4], [4, 4, 4, 4], [13], [13], [13], [13], [], [12], [13], [11], [], [10], [8, 8], [12], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [10], [4, 4, 4], [], [12], [4, 4, 4], [8], [8], [11], [], [13], [13], [12], [13]]
[[10], [4, 4, 4], [13], [13], [13], [13], [13], [8], [], [], [4, 4, 4], [8], [12], [12], [13], [13], [], [11], [13], [13]]
[[4, 4, 4], [13], [13], [13], [13], [13], [13], [11], [12], [13], [8], [], [], [], [8], [12], [], [4, 4, 4], [10], [13], [13]]
-EndAllocation

Instance: [[1], [201], 21]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,21. UB Alg: [134, 89, 68, 54, 45, 38, 34, 30, 28, 25, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [101, 67, 51, 41, 34, 29, 26, 23, 21, 19, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,21:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [13, 13, 13, 13, 13, 13]]
[[6], [6, 6, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 12, 12], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 13], [6, 6, 6, 6, 6, 12, 12]]
[[], [12, 12, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [6, 6, 6, 13, 13]]
[[], [6, 6, 13, 13], [13, 13], [6, 6, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [12, 12, 13]]
[[13], [13, 13], [12, 12], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [12, 12], [6, 6, 6, 6, 6], [13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [], [13, 13], [6, 6, 13], [12, 12]]
[[13], [13], [13], [6, 6, 13], [13], [13], [13], [12, 12], [6, 6, 13], [6, 6, 13], [6, 6, 6, 6]]
[[13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [6, 12], [6, 6, 6], [13], [6, 12]]
[[13], [13], [6, 13], [13], [6, 6, 6], [12], [13], [6, 13], [6, 12], [6, 13], [13], [6, 6], [6, 13]]
[[13], [6, 6, 6], [13], [12], [13], [6, 6, 6], [6, 13], [13], [13], [13], [13], [13], [12], [6, 6, 6]]
[[12], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [12], [13], [6], [13], [13], [6, 6, 6]]
[[13], [13], [13], [6, 6], [12], [6, 6], [13], [13], [6, 6], [13], [6, 6], [12], [13], [13], [13], [6, 6]]
[[13], [13], [6, 6], [6, 6], [], [6, 6], [12], [6, 6], [13], [13], [13], [13], [12], [13], [6, 6], [13], [13]]
[[13], [6, 6], [13], [6, 6], [13], [12], [13], [6, 6], [13], [], [], [6, 6], [12], [13], [13], [13], [6, 6], [13]]
[[12], [13], [], [6, 6], [], [13], [13], [], [12], [13], [13], [13], [13], [13], [6, 6], [6, 6], [6, 6], [13], [6, 6]]
[[13], [13], [13], [6, 6], [13], [12], [13], [], [13], [6, 6], [13], [], [6, 6], [13], [12], [6, 6], [], [6, 6], [13], []]
[[13], [6, 6], [13], [], [13], [], [6, 6], [6, 6], [], [13], [13], [], [12], [13], [6, 6], [], [13], [13], [12], [6, 6], [13]]
-EndAllocation

Instance: [[1], [220], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [146, 98, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [110, 74, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 8, 8, 9, 11, 12, 12]]
[[12, 13, 13], [13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 11, 12]]
[[13, 13, 13, 13, 13], [4, 4, 4, 4, 12, 12], [9, 9, 9, 9, 11], [8, 8, 13, 13, 13, 13]]
[[4, 4, 4, 4, 9, 9, 9, 9], [12, 12, 13], [13, 13, 13, 13], [8, 8, 11], [13, 13, 13, 13]]
[[9, 13, 13, 13], [13, 13, 13], [4, 4, 4, 4, 9, 9, 9], [11], [8, 8, 12, 12], [13, 13, 13]]
[[13, 13, 13], [12, 12], [9, 9], [8, 8, 11], [13, 13, 13], [4, 4, 4, 4, 9, 9], [13, 13, 13]]
[[11, 13, 13], [13, 13], [13], [4, 4, 4, 4, 8, 8], [12, 12], [9, 9, 9, 9], [13, 13], [13, 13]]
[[13, 13], [13, 13], [13, 13], [9, 9, 9], [11], [12, 12], [13, 13], [4, 4, 4, 4, 8, 8], [9, 13]]
[[13, 13], [9, 13], [13, 13], [13, 13], [], [11, 12], [9, 9, 9], [8, 8, 12], [4, 4, 4, 4], [13, 13]]
[[13, 13], [4, 4, 4, 4], [11, 13], [8, 8], [12, 12], [13, 13], [9, 9], [], [9, 9], [13, 13], [13, 13]]
[[9, 13], [9, 13], [13], [13], [9, 9], [4, 4, 4, 4], [13], [12, 12], [13], [8, 13], [11, 13], [8, 13]]
[[8, 13], [4, 4, 13], [12], [13], [12], [4, 4, 13], [11], [13], [13], [8, 13], [9, 9], [9, 13], [9, 13]]
[[8, 13], [13], [13], [13], [13], [13], [13], [9, 12], [4, 4, 4, 4], [9, 9], [8, 11], [13], [13], [9, 12]]
[[8, 12], [13], [13], [13], [12], [13], [13], [13], [13], [13], [9, 11], [13], [9, 9], [4, 4, 4, 4], [8, 9]]
[[13], [13], [13], [13], [13], [13], [9, 9], [13], [13], [12], [12], [8, 8], [4, 4, 4, 4], [11], [13], [9, 9]]
[[8, 9], [13], [13], [13], [13], [13], [9], [13], [13], [4, 4, 4, 4], [11], [12], [12], [13], [13], [9], [8, 9]]
[[12], [13], [13], [13], [9], [13], [13], [8, 9], [13], [], [13], [4, 4, 4, 4], [9], [12], [11], [13], [8, 9], [13]]
[[9], [13], [9], [13], [13], [13], [8, 8], [9], [13], [13], [], [4, 4, 4, 4], [9], [12], [12], [13], [13], [11], [13]]
[[13], [13], [13], [13], [13], [13], [11], [9], [4, 8], [4, 4, 4], [9], [9], [12], [12], [], [13], [9], [8], [13], [13]]
[[9], [13], [13], [13], [13], [13], [13], [4], [9], [13], [9], [11], [], [8], [8], [12], [9], [4, 4, 4], [13], [12], [13]]
[[9], [13], [13], [13], [13], [13], [9], [4], [12], [], [9], [9], [], [11], [8], [4, 4, 4], [8], [13], [12], [13], [13], [13]]
-EndAllocation

Instance: [[1], [219], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 4, 4, 4, 8, 8, 9, 9, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [146, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [110, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 8, 8, 10, 11, 12, 12]]
[[2, 10, 13, 13], [13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 8, 8, 9, 9, 9, 11, 12, 12]]
[[2, 13, 13, 13, 13, 13], [4, 4, 4, 12, 12], [9, 9, 9, 10, 11], [8, 8, 13, 13, 13, 13]]
[[2, 4, 4, 4, 9, 9, 9], [12, 12, 13], [13, 13, 13, 13], [8, 8, 10, 11], [13, 13, 13, 13]]
[[2, 13, 13, 13], [13, 13, 13], [4, 4, 4, 9, 9, 9], [10, 11], [8, 8, 12, 12], [13, 13, 13]]
[[2, 13, 13, 13], [10, 12, 12], [], [8, 8, 11], [13, 13, 13], [4, 4, 4, 9, 9, 9], [13, 13, 13]]
[[11, 13, 13], [13, 13], [13], [4, 4, 4, 8, 8], [9, 9, 9], [2, 10, 12, 12], [13, 13], [13, 13]]
[[2, 13, 13], [4, 4, 4, 13], [13, 13], [9, 9, 9], [11], [12, 12], [13, 13], [8, 8, 10], [13, 13]]
[[2, 13, 13], [13, 13], [13, 13], [13], [], [12, 12], [9, 9, 9], [10, 11], [4, 4, 4, 8, 8], [13, 13]]
[[2, 11], [4, 4, 4, 13], [13, 13], [8, 8], [12, 12], [13, 13], [9, 9], [], [9, 10], [13, 13], [13, 13]]
[[2, 9, 13], [13], [9, 13], [10, 13], [9, 13], [4, 4, 4, 13], [], [12, 12], [8, 8], [13], [11, 13], [13]]
[[2, 4, 13], [4, 13], [13], [13], [9, 13], [13], [12], [12], [10, 11], [8, 8], [9, 13], [4, 13], [9, 13]]
[[2, 12], [9, 12], [13], [13], [13], [13], [13], [13], [4, 11], [9, 9], [8, 10], [13], [4, 4, 13], [8, 13]]
[[2, 13], [9, 10], [11], [13], [13], [13], [13], [12], [13], [13], [8, 12], [13], [9, 9], [4, 4, 4, 8], [13]]
[[2, 13], [13], [9], [13], [13], [4, 13], [13], [4, 13], [13], [12], [8, 10], [12], [9, 9], [11], [13], [4, 8]]
[[2, 13], [13], [13], [13], [13], [13], [9], [13], [8, 8], [4, 4, 9], [11], [12], [12], [10], [13], [13], [4, 9]]
[[2, 13], [13], [13], [9], [11], [13], [13], [8, 8], [12], [13], [9], [4, 4, 4], [13], [12], [10], [9], [13], [13]]
[[2, 11], [13], [13], [13], [13], [13], [8, 8], [9], [13], [13], [], [4, 4, 4], [9], [12], [12], [10], [13], [9], [13]]
[[13], [13], [13], [13], [13], [13], [11], [8], [], [4, 4, 4], [9], [8], [12], [12], [9], [13], [9], [2, 10], [13], [13]]
[[2, 9], [13], [13], [13], [13], [13], [13], [11], [12], [], [9], [10], [], [9], [8], [12], [8], [4, 4, 4], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [9], [4, 4, 4], [12], [10], [8], [9], [], [11], [], [8], [12], [], [2, 9], [13], [13], [13]]
-EndAllocation

Instance: [[1], [218], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 7, 7, 9, 9, 9, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [145, 97, 73, 58, 49, 42, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [109, 73, 55, 44, 37, 32, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[7, 7, 9, 9, 12, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 9, 10, 11, 12, 12, 13]]
[[7, 7, 10, 12, 13], [13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 9, 9, 9, 11, 12, 12]]
[[7, 7, 13, 13, 13], [4, 4, 4, 4, 12, 12], [9, 9, 9, 10, 11, 12], [13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 7, 7, 9, 9, 9], [12, 13, 13], [13, 13, 13], [10, 11, 12, 12], [13, 13, 13]]
[[7, 7, 13, 13], [13, 13, 13], [9, 9, 9, 12], [4, 4, 4, 4, 10, 11, 12], [12, 13], [13, 13]]
[[7, 7, 12, 13], [12, 12], [], [11, 13, 13], [13, 13, 13], [9, 9, 9, 10], [4, 4, 4, 4, 13, 13]]
[[7, 7, 11, 12], [13, 13], [13, 13], [4, 4, 4, 4], [9, 9, 9], [10, 12, 12], [13, 13], [13, 13]]
[[7, 13, 13], [7, 13, 13], [13], [9, 9, 9], [11, 12], [12, 12], [13], [4, 4, 4, 4, 10], [13, 13]]
[[13, 13], [12, 13], [7, 7, 13], [], [13, 13], [11, 12], [9, 9, 9], [10, 12], [4, 4, 4, 4], [13, 13]]
[[], [4, 4, 4, 4, 7], [], [11, 12], [12, 12], [13, 13], [7, 9, 9], [9, 10], [13, 13], [13, 13], [13, 13]]
[[7, 13], [9], [12], [10, 13], [9, 13], [4, 4, 4, 13], [7, 13], [12, 12], [13], [13], [11, 13], [4, 9]]
[[7, 13], [4, 4, 13], [7, 12], [11], [12], [4, 4, 13], [13], [13], [13], [13], [9, 9], [10, 12], [9, 13]]
[[9, 12], [13], [7, 13], [7, 13], [13], [9], [13], [13], [4, 4, 4, 4], [10, 11], [13], [9, 12], [12], [13]]
[[9, 9], [7, 12], [4, 13], [7, 13], [13], [13], [11], [13], [12], [13], [13], [9], [4, 4, 12], [4, 13], [10]]
[[4, 12], [13], [13], [13], [13], [13], [7, 9], [4, 4, 9], [7, 11], [12], [10], [12], [13], [13], [4, 9], [13]]
[[4, 13], [7, 7], [12], [13], [13], [13], [9], [13], [12], [4, 10], [11], [9], [13], [9], [4, 12], [4, 13], [13]]
[[7, 9], [13], [13], [13], [13], [7, 9], [], [12], [11], [13], [12], [13], [10], [9], [12], [13], [13], [4, 4, 4, 4]]
[[13], [4, 4, 4, 4], [13], [13], [13], [13], [7, 9], [7, 9], [9], [10], [12], [], [], [12], [12], [11], [13], [13], [13]]
[[13], [12], [7, 7], [13], [13], [13], [11], [], [13], [4, 4, 4], [10], [], [12], [12], [9], [13], [9], [4, 9], [13], [13]]
[[9], [4, 4, 4], [13], [7, 7], [13], [13], [13], [11], [12], [], [9], [10], [], [9], [13], [12], [4], [13], [13], [13], [12]]
[[10], [12], [13], [7], [13], [13], [9], [4, 4, 4], [12], [9], [13], [9], [], [11], [], [13], [12], [13], [4], [13], [13], [7]]
-EndAllocation

Instance: [[1], [217], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 8, 9, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [145, 97, 73, 58, 49, 41, 37, 33, 29, 26, 25, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [109, 73, 55, 44, 37, 31, 28, 25, 22, 20, 19, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[4, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 8, 9, 10, 11, 12, 12]]
[[4, 9, 9, 11, 12, 12], [4, 4, 4, 13, 13, 13, 13, 13, 13], [8, 10, 13, 13, 13, 13]]
[[4, 8, 13, 13, 13, 13], [10, 13], [4, 4, 4, 9, 9, 11, 12, 12], [13, 13, 13, 13, 13]]
[[4, 9, 9], [13, 13, 13], [4, 4, 4, 13, 13, 13], [8, 10, 11, 12, 12], [13, 13, 13, 13]]
[[4, 13, 13, 13], [13, 13, 13], [9, 9, 12, 12], [4, 4, 4], [8, 11, 13], [10, 13, 13, 13]]
[[13, 13, 13], [12, 12], [4, 4, 4], [13, 13, 13], [8, 11, 13], [4, 9, 9, 10], [13, 13, 13]]
[[4, 11, 13], [13, 13], [12, 12, 13], [4, 4, 4, 13], [9, 9], [10, 13], [8, 13, 13], [13, 13]]
[[4, 13, 13], [13, 13], [13, 13], [8, 9, 9], [10, 11], [12, 12], [13, 13], [4, 4, 4], [13, 13]]
[[13, 13], [13, 13], [13, 13], [10], [12, 12], [9, 9, 11], [], [13, 13], [4, 4, 4, 4, 8], [13, 13]]
[[4, 13], [13, 13], [10, 13], [9, 9], [12, 12], [4, 4, 4, 8], [], [13, 13], [11], [13, 13], [13, 13]]
[[4, 9, 9], [13], [13], [13], [11, 13], [10, 13], [13], [12, 12], [13], [4, 4, 4, 13], [13], [8, 13]]
[[4, 12], [4, 4, 13], [4, 12], [13], [13], [13], [13], [13], [13], [8, 13], [9, 13], [9, 13], [10, 11]]
[[9, 12], [13], [13], [13], [12], [13], [13], [13], [4, 4, 11], [9, 10], [8, 13], [13], [4, 4, 13], [13]]
[[4, 13], [13], [4, 4, 4], [13], [12], [13], [9, 10], [13], [13], [13], [8, 12], [13], [9, 11], [13], [13]]
[[9, 9], [13], [13], [13], [13], [13], [13], [13], [12], [12], [8, 10], [13], [4, 4, 4], [13], [13], [4, 11]]
[[4, 13], [9], [13], [13], [13], [13], [8, 9], [13], [13], [4, 4, 4], [11], [13], [12], [13], [12], [13], [10]]
[[4, 10], [13], [13], [13], [11], [4, 4, 4], [13], [8, 9], [9], [], [13], [12], [12], [13], [13], [13], [13], [13]]
[[13], [4, 4, 4], [13], [13], [13], [13], [13], [11], [13], [8], [], [13], [9], [12], [10], [9], [4, 12], [13], [13]]
[[4], [13], [13], [13], [13], [13], [11], [13], [13], [4, 4, 4], [9], [8], [9], [12], [12], [13], [], [10], [13], [13]]
[[4, 8], [13], [13], [13], [13], [13], [13], [11], [12], [13], [9], [10], [], [], [], [12], [9], [4, 4, 4], [13], [13], [13]]
[[4, 4, 4], [13], [13], [13], [13], [13], [13], [10], [], [9], [], [13], [11], [9], [12], [8], [], [13], [12], [13], [13], [4]]
-EndAllocation

Instance: [[1], [216], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 3, 4, 5, 6, 8, 9, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [144, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [108, 72, 54, 44, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[2, 3, 5, 6, 9, 11, 11, 12, 13], [2, 4, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [8, 9, 12, 13, 13, 13, 13, 13], [2, 2, 3, 4, 5, 6, 11, 11, 13, 13, 13, 13]]
[[13], [6, 9, 12, 13, 13, 13], [2, 2, 3, 4, 11, 11, 13, 13, 13], [5, 8, 13, 13, 13, 13]]
[[], [3, 4, 9, 12, 13, 13], [5, 11, 11, 13, 13], [2, 2, 13, 13, 13, 13], [6, 8, 13, 13, 13]]
[[], [12, 13, 13], [2, 2, 13, 13, 13], [13, 13, 13], [5, 8, 11, 11, 13], [3, 4, 6, 9, 13, 13]]
[[13], [3, 13, 13], [6, 13, 13], [5, 11, 11, 12], [4, 9, 13, 13], [8, 13, 13], [2, 2, 13, 13]]
[[], [9, 11, 11], [8, 12, 13], [5, 13, 13], [3, 6, 13, 13], [2, 2, 13, 13], [13, 13], [4, 13, 13]]
[[], [9, 13], [3, 13, 13], [13, 13], [5, 11, 11], [2, 2, 13, 13], [13, 13], [6, 8, 13], [4, 12, 13]]
[[13], [13, 13], [4, 6, 13], [13, 13], [11, 11], [5, 13], [8, 13], [9, 13], [2, 2, 3, 13], [12, 13]]
[[], [2, 2, 3, 12], [13, 13], [9], [8, 13], [5, 13], [13, 13], [13, 13], [11, 11], [4, 6, 13], [13, 13]]
[[13], [13], [4, 13], [11, 13], [11, 13], [2, 2, 13], [9, 13], [5, 13], [6, 12], [13], [3, 13], [8, 13]]
[[13], [2, 2, 13], [13], [9, 13], [5, 12], [3, 4, 13], [13], [13], [13], [11, 11], [6, 13], [13], [8, 13]]
[[13], [8, 13], [13], [11], [4, 13], [13], [13], [2, 2, 13], [3, 5, 13], [9, 12], [13], [13], [11], [6, 13]]
[[13], [12], [13], [4, 13], [6, 13], [13], [9, 11], [3, 13], [13], [11], [5, 8], [13], [13], [2, 2, 13], [13]]
[[13], [13], [2, 2, 11], [4, 13], [13], [13], [13], [6, 9], [13], [13], [13], [5, 13], [13], [3, 12], [11], [8]]
[[13], [13], [13], [4, 13], [13], [13], [6], [13], [13], [9], [5, 12], [3, 13], [11], [8], [11], [2, 2, 13], [13]]
[[13], [13], [6], [13], [13], [13], [13], [4, 5], [8], [13], [12], [3, 11], [13], [13], [13], [9], [2, 2, 11], [13]]
[[13], [13], [3, 13], [13], [13], [12], [13], [11], [13], [13], [13], [8], [5], [6], [9], [13], [4], [13], [2, 2, 11]]
[[13], [], [13], [6], [13], [2, 2], [11], [4, 8], [13], [12], [13], [11], [13], [13], [13], [5], [13], [13], [13], [3, 9]]
[[8], [13], [13], [13], [12], [13], [5], [13], [13], [13], [13], [13], [], [2, 2], [4], [11], [9], [13], [11], [13], [3, 6]]
[[13], [13], [2, 2], [13], [13], [5], [13], [12], [4, 8], [13], [6], [], [13], [11], [11], [13], [13], [13], [9], [], [3], [13]]
-EndAllocation

Instance: [[1], [215], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 8, 8, 9, 9, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [144, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [108, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[3, 6, 9, 9, 10, 12, 12, 12], [2, 4, 5, 8, 8, 11, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [8, 8, 9, 9, 12, 12, 12, 13, 13], [2, 3, 4, 5, 6, 10, 11, 13, 13, 13, 13]]
[[13, 13], [6, 9, 9, 12, 12, 12], [2, 3, 4, 10, 11, 13, 13, 13], [5, 8, 8, 13, 13, 13]]
[[12], [3, 4, 9, 9, 12, 12], [5, 10, 11, 13, 13], [2, 13, 13, 13, 13], [6, 8, 8, 13, 13]]
[[], [10, 12, 12, 12], [2, 13, 13, 13], [13, 13, 13], [5, 8, 8, 11, 13], [3, 4, 6, 9, 9, 13]]
[[], [3, 10, 13, 13], [6, 13, 13], [5, 11, 12, 12], [4, 9, 9], [8, 8, 12, 13], [2, 13, 13, 13]]
[[], [9, 9, 11], [12, 12, 12], [5, 13, 13], [3, 6, 13, 13], [2, 8, 8, 10], [13, 13], [4, 13, 13]]
[[], [9, 9, 13], [3, 10, 13], [13, 13], [5, 11, 13], [2, 13, 13], [12, 13], [6, 8, 8], [4, 12, 12]]
[[13], [12, 13], [4, 6, 11], [13, 13], [13, 13], [5, 13], [8, 10], [8, 9, 9], [2, 3, 13], [12, 12]]
[[], [2, 12, 12], [12, 13], [9, 9], [8, 8], [5, 13], [3, 13], [10, 13], [11, 13], [4, 6, 13], [13, 13]]
[[13], [12, 12], [4, 13], [11, 13], [13], [2, 13], [9, 9], [10, 13], [6, 12], [13], [3, 5, 13], [8, 8]]
[[13], [2, 13], [9, 13], [9, 13], [5, 12], [10, 11], [13], [13], [3, 13], [13], [6, 12], [12], [4, 8, 8]]
[[12], [8, 8], [13], [9, 12], [4, 13], [13], [13], [2, 13], [3, 13], [9, 12], [13], [13], [10, 11], [5, 6]]
[[13], [12], [13], [4, 13], [6, 12], [10], [9, 9], [3, 13], [8, 12], [11], [5, 8], [13], [13], [2, 13], [13]]
[[13], [13], [13], [2, 4, 12], [13], [13], [13], [6, 9], [12], [13], [13], [5, 9], [10], [3, 12], [11], [8, 8]]
[[12], [13], [13], [4, 9], [13], [13], [6], [12], [10], [9], [5, 12], [3, 13], [11], [8, 8], [13], [2, 13], [13]]
[[13], [13], [6], [10], [13], [13], [13], [4, 12], [8], [13], [9], [3, 12], [13], [12], [13], [5, 9], [2, 11], [8]]
[[13], [13], [3, 13], [13], [13], [12], [13], [13], [9], [12], [], [8, 8], [5], [6], [9], [13], [4, 12], [10], [2, 11]]
[[13], [12], [], [6], [13], [2, 8], [13], [4, 8], [12], [12], [10], [11], [13], [13], [9], [5], [13], [13], [13], [3, 9]]
[[8], [12], [13], [13], [9], [8], [5], [13], [13], [13], [10], [13], [13], [2], [4], [11], [9], [12], [12], [13], [3, 6]]
[[13], [13], [2, 10], [13], [12], [5], [13], [12], [4, 8], [13], [6], [], [9], [13], [11], [13], [], [13], [9], [], [3, 8], [12]]
-EndAllocation

Instance: [[1], [214], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [142, 96, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [107, 72, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [6, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [12, 12, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [6, 13, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[13], [12, 12, 13, 13], [6, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 12, 12, 13], [6, 13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [13, 13, 13], [6, 6, 6, 6, 6, 6], [12, 12, 13], [13, 13], [6, 6, 6, 6, 13], [13, 13, 13]]
[[], [13, 13], [6, 6, 12, 12], [13, 13], [6, 6, 6, 6, 6, 6], [6, 13, 13], [6, 13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [12, 12]]
[[], [13, 13], [6, 6, 6, 6], [13], [6, 6, 6, 6], [13, 13], [6, 6, 13], [13, 13], [13, 13], [12, 12]]
[[], [12, 12], [6, 6, 6, 6], [], [6, 6, 13], [13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13]]
[[13], [12, 12], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 6, 6, 6], [6, 13], [13], [6, 13]]
[[13], [13], [6, 13], [6, 13], [6, 12], [13], [13], [6, 13], [6, 6, 6], [6, 13], [6, 12], [6, 13], [13]]
[[12], [13], [6, 13], [13], [13], [6, 13], [13], [6, 13], [13], [6, 6, 6], [6, 13], [13], [12], [6, 6, 6]]
[[13], [12], [13], [13], [6, 6, 6], [13], [13], [6, 13], [12], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [12], [6, 6, 6], [13], [13], [13], [6, 12], [], [13]]
[[13], [6, 6], [13], [13], [13], [6, 6], [6, 6], [12], [13], [13], [12], [13], [13], [13], [6, 6], [6, 6], [13]]
[[13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [12], [6, 6], [12], [6, 6], [13], [], [13], [13], [6, 6], [13]]
[[13], [6, 6], [13], [6, 6], [13], [12], [13], [13], [], [13], [], [6, 6], [13], [6, 6], [13], [13], [6, 6], [12], [13]]
[[13], [6, 6], [], [6, 6], [13], [6, 6], [13], [12], [13], [12], [13], [6, 6], [13], [6, 6], [], [13], [13], [13], [13], []]
[[], [13], [13], [13], [12], [6, 6], [], [13], [6, 6], [13], [13], [6, 6], [], [13], [13], [12], [13], [], [6, 6], [13], [6, 6]]
[[13], [13], [13], [6, 6], [13], [], [], [12], [6, 6], [13], [6, 6], [], [13], [6, 6], [13], [13], [6, 6], [13], [13], [], [12], []]
-EndAllocation

Instance: [[1], [213], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [142, 94, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [107, 71, 54, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [6, 10, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 10, 13, 13], [6, 13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6]]
[[], [10, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13], [6, 6, 6, 6, 13], [13, 13, 13]]
[[13], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6, 6], [10, 13, 13], [13, 13], [13, 13]]
[[], [6, 6, 13], [6, 6, 6, 10], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [13], [6, 6, 6, 6], [13, 13], [6, 6, 10], [13, 13], [13, 13], [13, 13]]
[[], [13], [6, 6, 6, 6], [], [6, 6, 13], [13, 13], [13, 13], [10, 13], [13, 13], [6, 6, 6, 6], [13, 13]]
[[13], [13], [13], [6, 13], [6, 13], [6, 13], [13], [10, 13], [6, 6, 6, 6], [6, 13], [6, 13], [6, 13]]
[[13], [13], [6, 13], [6, 13], [6, 13], [10], [13], [6, 13], [6, 13], [6, 13], [6, 6, 6], [6, 13], [13]]
[[13], [10], [6, 13], [13], [13], [6, 13], [13], [6, 13], [13], [6, 6, 6], [6, 13], [13], [13], [6, 6, 6]]
[[13], [13], [13], [13], [6, 6, 6], [10], [13], [6, 13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [6, 6, 6], [13], [13], [10], [6], [13], [13]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13], [10], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13]]
[[13], [13], [6, 6], [10], [6, 6], [13], [13], [13], [], [6, 6], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13]]
[[13], [6, 6], [13], [6, 6], [13], [], [13], [13], [], [13], [13], [6, 6], [13], [6, 6], [13], [13], [6, 6], [10], [13]]
[[13], [6, 6], [], [6, 6], [13], [], [13], [6, 6], [13], [13], [10], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13], []]
[[], [13], [13], [13], [], [6, 6], [], [13], [6, 6], [13], [10], [6, 6], [], [13], [13], [13], [13], [13], [6, 6], [13], [6, 6]]
[[13], [13], [10], [6, 6], [13], [13], [], [6, 6], [13], [13], [6, 6], [], [13], [6, 6], [13], [13], [], [13], [13], [], [6, 6], []]
-EndAllocation

Instance: [[1], [212], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13], [11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 13], [5, 11, 13, 13, 13], [13, 13, 13, 13], [5, 13, 13, 13, 13]]
[[], [13, 13, 13], [5, 13, 13, 13], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 11], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 11], [5, 5, 5], [13, 13, 13], [13, 13, 13]]
[[13], [11, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [5, 5, 13, 13], [13, 13], [13, 13], [13, 13]]
[[], [11, 13], [5, 5, 13], [5, 13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [11, 13], [13], [13, 13], [5, 5, 5, 5, 5], [5, 5, 5, 5], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [], [5], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 11], [13, 13], [13, 13]]
[[13], [13], [5, 5, 13], [13], [13], [13], [5, 13], [5, 5, 13], [11, 13], [13], [5, 5, 13], [5, 5, 13]]
[[13], [5, 13], [5, 13], [5, 13], [11], [5, 13], [5, 13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13]]
[[13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [13], [13], [5, 13], [13], [13], [13], [11], [5, 5, 5, 5]]
[[13], [13], [13], [13], [13], [13], [13], [13], [13], [11], [5, 5, 5, 5], [5, 5, 5, 5], [13], [13], [5, 13]]
[[13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [11], [13]]
[[13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [5, 5, 5], [13], [5, 5, 5], [13], [11], [13], [13], [], [13]]
[[13], [13], [13], [5, 5], [13], [13], [13], [13], [], [5, 5, 5], [13], [13], [13], [], [5, 5, 5], [13], [5, 11], [13]]
[[13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [], [13], [], [13], [5, 5, 5], [13], [13], [13], [], [5, 5, 5], [11]]
[[13], [], [5], [13], [13], [13], [5, 5], [5, 5], [13], [13], [13], [11], [13], [5, 5], [13], [5, 5], [13], [13], [13], []]
[[], [13], [13], [13], [], [5, 5], [5, 5], [13], [13], [5, 5], [13], [13], [5, 5], [13], [13], [11], [13], [], [5], [13], [13]]
[[13], [13], [13], [5, 5], [13], [5, 5], [13], [13], [5, 5], [13], [], [], [13], [13], [11], [13], [5], [13], [5, 5], [], [], [13]]
-EndAllocation

Instance: [[1], [211], 22]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 6, 6, 7, 8, 9, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,22. UB Alg: [141, 94, 70, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [106, 71, 53, 43, 36, 31, 27, 24, 22, 20, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,22:
-StartAllocation
[[6, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 7, 8, 9, 9, 10, 11, 12]]
[[9, 9, 13, 13, 13, 13, 13], [4, 4, 4, 4, 8, 11], [6, 6, 7, 10, 12, 13, 13, 13, 13]]
[[4, 4, 4, 4, 6, 6, 7, 11], [9, 9, 10, 12], [13, 13, 13, 13, 13], [8, 13, 13, 13, 13]]
[[13], [6, 6, 11, 12, 13], [13, 13, 13, 13], [4, 4, 4, 4, 8, 9, 9, 10], [7, 13, 13, 13]]
[[4, 4, 13, 13, 13], [13, 13, 13], [6, 6, 9, 9], [11, 12], [4, 4, 7, 8, 10], [13, 13, 13]]
[[13, 13, 13], [7, 13, 13], [11], [4, 4, 4, 4], [6, 6, 8, 12], [9, 9, 10, 13], [13, 13, 13]]
[[10, 13, 13], [12, 13], [4, 4, 4, 4, 13], [], [9, 9, 13], [6, 6, 7, 11], [8, 13, 13], [13, 13]]
[[10, 13], [13, 13], [7, 13], [6, 6, 11], [9, 9, 12], [4, 4, 4, 4], [13, 13], [8, 13], [13, 13]]
[[13, 13], [13, 13], [13, 13], [10, 13], [12], [4, 4, 4, 4, 11], [], [7, 9, 9], [8, 13], [6, 6, 13]]
[[7, 13], [13, 13], [11], [9, 9], [12], [13, 13], [6, 6], [4, 4, 4, 4], [8, 10], [13, 13], [13, 13]]
[[7, 13], [9, 13], [9, 13], [10, 13], [13], [11, 13], [4, 4, 13], [13], [], [6, 6, 12], [13], [4, 4, 8]]
[[7, 13], [4, 4, 4, 4], [13], [13], [13], [13], [10, 12], [13], [13], [8, 13], [9, 9], [6, 13], [6, 11]]
[[7, 13], [8, 13], [6, 13], [13], [13], [13], [13], [11], [10], [9, 9], [6, 13], [4, 4, 4, 4], [12], [13]]
[[6, 7], [11], [13], [13], [13], [13], [13], [13], [13], [12], [9, 9], [13], [8, 10], [4, 4, 4, 4], [6, 13]]
[[13], [13], [13], [13], [13], [13], [13], [4, 4, 4, 4], [13], [13], [7, 10], [12], [6, 6], [11], [9, 9], [8]]
[[7], [13], [13], [13], [13], [13], [9], [13], [13], [4, 4, 4, 4], [10], [13], [6, 6], [11], [12], [8, 9], [13]]
[[13], [13], [13], [13], [13], [13], [6, 6], [7, 9], [11], [13], [13], [4, 4, 4, 4], [], [12], [9], [13], [8], [10]]
[[11], [13], [13], [13], [13], [13], [13], [13], [12], [], [], [8], [6, 6], [10], [13], [4, 4, 4, 4], [13], [9], [7, 9]]
[[4, 9], [13], [13], [13], [13], [13], [7], [13], [10], [4, 4, 4], [13], [], [6, 6], [11], [], [12], [8], [9], [13], [13]]
[[7], [6, 6], [9], [13], [13], [13], [13], [13], [], [12], [8], [], [13], [4], [4, 4, 4], [11], [10], [9], [13], [13], [13]]
[[9], [13], [13], [13], [13], [], [], [11], [12], [10], [8], [7], [], [6, 6], [], [4, 4, 4], [13], [13], [4, 9], [13], [13], [13]]
-EndAllocation

Instance: [[1], [230], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 2, 2, 6, 9, 9, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 9, 9, 9, 10, 11, 12, 13], [2, 2, 2, 2, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [2, 2, 2, 2, 6, 9, 9, 9, 10, 12, 13, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 9, 9, 9, 13, 13, 13], [2, 2, 2, 2, 10, 11, 12, 13, 13], [13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 10, 13, 13, 13], [2, 2, 2, 2, 12, 13, 13, 13], [9, 9, 9, 11, 13]]
[[], [11, 13, 13, 13], [10, 12, 13, 13], [13, 13, 13, 13], [2, 2, 2, 2, 6, 13, 13], [9, 9, 9, 13]]
[[], [13, 13, 13], [9, 9, 9, 10], [13, 13, 13], [13, 13, 13], [6, 12, 13, 13], [2, 2, 2, 2, 11, 13]]
[[13], [10, 13, 13], [13, 13], [9, 12, 13], [13, 13], [11, 13, 13], [13, 13], [2, 2, 2, 2, 6, 9, 9]]
[[13], [11, 13], [13, 13], [6, 13, 13], [9, 9, 9], [2, 2, 2, 2, 13, 13], [13, 13], [10, 12], [13, 13]]
[[], [2, 2, 2, 2, 9, 11], [13, 13], [9, 9, 12], [6, 13], [13, 13], [13, 13], [13, 13], [13, 13], [10, 13]]
[[], [12, 13], [9, 9, 9], [13, 13], [13], [6, 13], [13, 13], [13, 13], [2, 2, 2, 2, 13], [13, 13], [10, 11]]
[[], [13, 13], [13, 13], [2, 2, 2, 2, 9, 9], [11, 12], [13, 13], [13], [6, 13], [13, 13], [9, 10], [], [13, 13]]
[[13], [9, 12], [9, 13], [13], [2, 2, 2, 2, 13], [13], [11, 13], [13], [9, 13], [13], [10, 13], [13], [6, 13]]
[[13], [2, 2, 2, 2, 13], [6, 13], [9, 13], [13], [13], [9, 13], [13], [12], [13], [9, 13], [13], [10, 11], [13]]
[[13], [13], [10, 11], [6, 13], [9, 12], [13], [13], [13], [13], [9, 9], [13], [13], [13], [13], [2, 2, 2, 2, 13]]
[[13], [13], [13], [2, 2, 2, 2, 11], [13], [13], [13], [12], [13], [13], [13], [9, 10], [13], [9, 9], [6, 13], [13]]
[[13], [13], [13], [2, 2, 13], [13], [2, 2, 13], [13], [12], [6, 11], [13], [13], [13], [13], [10], [13], [9], [9, 9]]
[[13], [13], [13], [9], [2, 2, 2, 2, 9], [11], [13], [6, 10], [13], [12], [13], [13], [13], [9], [13], [13], [13], [13]]
[[10], [12], [9], [13], [13], [13], [13], [13], [13], [13], [13], [2, 2, 2, 2, 9], [13], [6, 9], [], [13], [13], [11], [13]]
[[9], [13], [13], [10], [13], [13], [2, 2, 2, 2], [11], [9], [6], [13], [12], [13], [13], [13], [9], [13], [13], [13], [13]]
[[13], [2, 2, 2, 2], [13], [13], [13], [11], [9], [13], [12], [10], [13], [13], [9], [13], [13], [9], [], [13], [6], [13], [13]]
[[13], [13], [13], [], [9], [13], [6], [13], [9], [11], [13], [13], [12], [13], [9], [2, 2, 2, 2], [13], [13], [], [13], [13], [10]]
[[9], [10], [13], [2, 2, 2, 2], [], [13], [13], [9], [13], [12], [13], [11], [13], [13], [], [13], [13], [], [13], [13], [6], [13], [9]]
-EndAllocation

Instance: [[1], [229], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 7, 8, 8, 9, 9, 9, 10, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [153, 102, 77, 61, 52, 44, 38, 34, 30, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 13], Opt: [115, 77, 58, 46, 39, 33, 29, 26, 23, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[4, 6, 7, 9, 9, 9, 10, 11, 11], [3, 5, 8, 8, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[7, 11, 11], [3, 6, 8, 8, 9, 9, 9, 10, 12, 13, 13], [4, 5, 13, 13, 13, 13, 13, 13, 13]]
[[13], [6, 9, 9, 9, 13, 13, 13], [4, 10, 11, 11, 12, 13, 13], [3, 5, 7, 8, 8, 13, 13, 13]]
[[13], [7, 13, 13, 13, 13], [4, 6, 8, 8, 10, 13], [12, 13, 13, 13], [3, 5, 9, 9, 9, 11, 11]]
[[], [7, 9, 9, 11, 11], [8, 8, 10, 12], [13, 13, 13, 13], [3, 4, 5, 6, 13, 13], [9, 13, 13, 13]]
[[13], [13, 13, 13], [8, 8, 9, 10], [3, 4, 13, 13], [7, 13, 13], [5, 6, 9, 9, 12], [11, 11, 13]]
[[13], [7, 10, 13], [13, 13], [9, 9, 12], [5, 13, 13], [11, 11, 13], [13, 13], [3, 4, 6, 8, 8, 9]]
[[13], [11, 11], [13, 13], [5, 6, 13], [7, 9, 9, 9], [4, 13, 13], [8, 8, 13], [10, 12], [3, 13, 13]]
[[], [7, 11, 11], [8, 8, 13], [5, 9, 12], [6, 13], [13, 13], [3, 13, 13], [4, 13, 13], [9, 9], [10, 13]]
[[], [12, 13], [9, 9, 9], [13, 13], [7], [3, 5, 6, 8], [8, 13], [13, 13], [4, 11, 13], [13, 13], [10, 11]]
[[], [7, 13], [13, 13], [4, 9, 9], [11, 12], [13, 13], [13], [6, 13], [3, 5, 8, 8], [9, 10], [11], [13, 13]]
[[13], [3, 7, 12], [9, 13], [13], [13], [13], [11, 11], [13], [9, 9], [5, 8, 8], [10, 13], [13], [4, 6, 13]]
[[13], [13], [3, 6, 13], [13], [7, 13], [13], [8, 9], [10, 11], [13], [8, 9], [9, 13], [4, 13], [5, 11], [12]]
[[13], [5, 13], [3, 11], [6, 7, 8], [8, 12], [13], [13], [13], [11], [9, 10], [13], [13], [4, 13], [13], [9, 9]]
[[11], [7, 13], [13], [13], [4, 13], [8], [13], [12], [13], [3, 11], [13], [9, 10], [8, 9], [5, 9], [6, 13], [13]]
[[13], [7, 11], [5, 13], [11], [13], [3, 13], [8], [4, 12], [6], [13], [13], [13], [13], [8, 10], [13], [9], [9, 9]]
[[13], [13], [3, 13], [7, 8], [9], [11], [13], [6, 10], [13], [12], [13], [11], [5, 9], [9], [13], [8], [13], [4, 13]]
[[10], [12], [9], [13], [3, 13], [13], [13], [11], [13], [13], [11], [8, 8], [5, 9], [4, 6], [9], [13], [13], [7], [13]]
[[9], [8], [5, 7], [10], [4, 8], [11], [3, 9], [11], [9], [6], [13], [12], [13], [13], [13], [13], [13], [13], [13], [13]]
[[13], [9], [3, 11], [5], [13], [11], [9], [8], [12], [10], [13], [13], [9], [13], [8], [13], [13], [13], [6, 7], [4], [13]]
[[11], [13], [4, 8], [], [5, 9], [13], [6], [13], [9], [11], [13], [8], [12], [13], [9], [7], [13], [3], [13], [13], [13], [10]]
[[9], [10], [13], [11], [], [13], [13], [9], [13], [12], [8], [11], [4], [13], [13], [13], [5], [3, 8], [13], [13], [6], [7], [9]]
-EndAllocation

Instance: [[1], [228], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[12, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [12, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 12], [6, 6, 13, 13, 13], [13, 13, 13, 13]]
[[13, 13], [13, 13, 13], [6, 6, 13, 13], [12, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [6, 12, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 12], [6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [6, 13, 13], [12, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6]]
[[], [13, 13], [13, 13], [13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [12, 13], [13, 13]]
[[], [13, 13], [6, 6, 12], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [13], [13], [6, 6, 13], [6, 6, 13], [12, 13], [13], [6, 6, 13], [13], [13], [6, 6, 13], [6, 6, 13]]
[[13], [6, 13], [6, 13], [6, 13], [6, 13], [12], [6, 13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [6, 13]]
[[13], [13], [12], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [13], [6, 13], [6, 6, 6]]
[[13], [13], [12], [13], [13], [6, 13], [6, 6, 6], [13], [6, 6, 6], [6, 13], [13], [6, 13], [6, 13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [12], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [6], [13], [6, 6, 6], [12], [13], [13], [13], [6, 6, 6], [13], [13], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [12], [6, 6], [6, 6], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [6, 6], [], [13], [13], [6, 6], [13], [12], [13], [13], [13], [13]]
[[], [13], [6, 6], [6, 6], [12], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [13], [13], [13], [], [13], [6, 6]]
[[13], [13], [13], [13], [13], [13], [13], [13], [6, 6], [], [6, 6], [6, 6], [6, 6], [13], [12], [13], [13], [13], [6, 6], [], []]
[[13], [13], [13], [13], [], [13], [13], [], [], [6, 6], [12], [13], [13], [13], [6, 6], [13], [], [13], [13], [6, 6], [6, 6], [6, 6]]
[[], [13], [13], [12], [13], [], [], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [6, 6], [13], [13], [], [13], [], [6, 6]]
-EndAllocation

Instance: [[1], [227], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [152, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [114, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[12, 12, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [12, 12, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 12, 12], [6, 6, 6, 6, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [6, 6, 13, 13], [12, 12, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [6, 12, 12, 13], [13, 13, 13], [13, 13, 13], [6, 6, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 13, 13], [6, 6, 12, 12], [6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [6, 13, 13], [12, 12], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6]]
[[], [13, 13], [13, 13], [13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [12, 12], [13, 13]]
[[], [13, 13], [12, 12], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [6, 6], [13, 13], [13], [13, 13], [13, 13]]
[[13], [13], [13], [6, 6, 6, 6], [13], [12, 13], [12, 13], [6, 6, 13], [13], [13], [6, 6, 13], [6, 6, 13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [12, 12], [6, 13], [13], [13], [6, 13], [13], [6, 6, 6, 6], [6, 13]]
[[13], [13], [12], [6, 13], [6, 13], [6, 13], [6, 13], [12], [13], [6, 13], [6, 13], [13], [6, 13], [6, 6, 6]]
[[13], [12], [12], [13], [13], [6, 13], [6, 6, 6], [13], [6, 6, 6], [6, 13], [13], [6, 13], [6, 13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [12], [12], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [6], [13], [6, 6, 6], [12], [13], [13], [13], [6, 6, 6], [13], [13], [6, 6, 6], [13], [12], [13], [13]]
[[13], [13], [13], [13], [12], [6, 6], [6, 6], [13], [6, 6], [6, 6], [13], [13], [6, 6], [13], [13], [12], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [6, 6], [6, 6], [13], [13], [12], [13], [12], [], [13], [13], [13]]
[[], [13], [6, 6], [6, 6], [12], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [12], [13], [13], [13], [], [13], [6, 6]]
[[13], [13], [13], [12], [13], [13], [13], [13], [6, 6], [], [6, 6], [6, 6], [6, 6], [13], [12], [13], [13], [13], [6, 6], [], []]
[[13], [13], [13], [13], [], [13], [13], [], [], [6, 6], [12], [12], [13], [13], [6, 6], [13], [], [13], [13], [6, 6], [6, 6], [6, 6]]
[[12], [13], [13], [12], [13], [], [], [13], [13], [13], [13], [6, 6], [], [6, 6], [13], [6, 6], [6, 6], [13], [13], [], [13], [], [6, 6]]
-EndAllocation

Instance: [[1], [226], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [150, 101, 76, 61, 50, 44, 38, 34, 30, 28, 25, 24, 22, 21, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [113, 76, 57, 46, 38, 33, 29, 26, 23, 21, 19, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [10, 13, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [6, 6, 13, 13], [10, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 10], [6, 6, 6, 6, 6, 6, 6]]
[[13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 10], [6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [6, 13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [10, 13], [6, 6, 6, 6]]
[[], [13, 13], [13, 13], [13], [10, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [6, 6], [13, 13], [6, 6, 6, 6], [13], [13, 13], [10, 13], [13, 13], [13, 13]]
[[13], [13], [13], [6, 6, 13], [6, 6, 13], [13], [13], [6, 6, 13], [6, 6, 13], [13], [6, 6, 13], [10, 13]]
[[13], [6, 13], [10, 13], [6, 13], [6, 13], [13], [6, 13], [13], [13], [6, 13], [13], [6, 6, 6, 6], [6, 13]]
[[13], [13], [13], [6, 13], [6, 6, 10], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [13], [13], [6, 6, 6]]
[[13], [13], [13], [13], [10], [6, 13], [6, 6, 6], [13], [6, 6, 6], [6, 13], [13], [6, 13], [6, 13], [13], [13]]
[[13], [10], [13], [13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [6], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [13], [10], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [6, 6], [13], [13], [13], [13], [10], [6, 6], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [6, 10], [6], [13], [13], [6, 6], [13], [13], [], [13], [13], [13]]
[[13], [13], [6, 6], [6, 6], [], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [13], [13], [10], [], [13], [6, 6]]
[[13], [13], [13], [13], [13], [13], [13], [13], [6, 6], [], [6, 6], [6, 6], [6, 6], [10], [13], [13], [13], [13], [6, 6], [], []]
[[13], [13], [13], [13], [], [13], [13], [], [], [6, 6], [10], [13], [13], [13], [6, 6], [13], [], [13], [13], [6, 6], [6, 6], [6, 6]]
[[], [13], [13], [6, 6], [13], [], [], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [6, 6], [13], [10], [13], [13], [], []]
-EndAllocation

Instance: [[1], [225], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [150, 100, 76, 60, 50, 44, 38, 33, 30, 28, 25, 24, 22, 20, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [113, 75, 57, 45, 38, 33, 29, 25, 23, 21, 19, 18, 17, 15, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[12, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [10, 12, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 12], [6, 6, 10, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [6, 6, 13, 13], [10, 12, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [13, 13, 13], [6, 12, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 10], [6, 6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 13, 13], [6, 6, 10, 12], [6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [13, 13], [6, 13, 13], [12, 13], [6, 6, 6, 6, 6], [13, 13], [10, 13], [6, 6, 6, 6]]
[[], [13, 13], [13, 13], [13], [10, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [12, 13], [13, 13]]
[[], [13, 13], [6, 6, 12], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [], [13, 13], [10, 13], [13, 13], [13, 13]]
[[13], [13], [13], [6, 6, 6, 6], [6, 6, 13], [12, 13], [13], [6, 6, 13], [13], [13], [6, 6, 13], [10, 13]]
[[13], [6, 13], [10, 13], [6, 13], [6, 13], [12], [6, 13], [13], [13], [6, 13], [13], [6, 6, 6, 6], [6, 13]]
[[13], [13], [10, 12], [6, 13], [6, 13], [13], [13], [13], [13], [6, 13], [6, 13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [12], [13], [10], [6, 13], [6, 6, 6], [13], [6, 6, 6], [6, 13], [13], [6, 13], [6, 13], [13], [13]]
[[13], [10], [13], [13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [12], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [6], [13], [6, 6, 6], [12], [13], [13], [13], [6, 6, 6], [13], [10], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [12], [6, 6], [6, 6], [13], [6, 6], [6, 6], [13], [13], [13], [13], [10], [6, 6], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [6, 10], [6], [13], [13], [6, 6], [13], [12], [], [13], [13], [13]]
[[], [13], [6, 6], [6, 6], [12], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [13], [13], [10], [], [13], [6, 6]]
[[13], [13], [13], [13], [13], [13], [13], [13], [6, 6], [], [6, 6], [6, 6], [6, 6], [10], [12], [13], [13], [13], [6, 6], [], []]
[[13], [13], [13], [13], [], [13], [13], [], [], [6, 6], [10], [12], [13], [13], [6, 6], [13], [], [13], [13], [6, 6], [6, 6], [6, 6]]
[[], [13], [13], [12], [13], [], [], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6], [6, 6], [13], [10], [], [13], [], [6, 6]]
-EndAllocation

Instance: [[1], [224], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 12, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 9, 12, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [12, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 12, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 9], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [9, 13, 13, 13], [12, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [6, 6, 6, 12], [13, 13, 13], [9, 13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 12], [9, 13, 13], [13, 13]]
[[], [6, 13, 13], [6, 13, 13], [9], [6, 6, 6, 6, 6], [6, 13, 13], [6, 13, 13], [12, 13], [6, 13, 13]]
[[], [6, 6, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 9], [6, 6], [6, 6, 6, 12], [13, 13], [13, 13]]
[[], [13, 13], [], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [6, 6, 12], [13, 13], [13, 13], [13, 13], [9, 13]]
[[13], [13], [6, 6, 6, 6], [13], [6, 6, 13], [12, 13], [6, 6, 13], [13], [9, 13], [13], [6, 6, 13], [13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 6, 6, 6], [13], [13], [6, 13], [6, 6, 12], [13], [9, 13]]
[[13], [6, 6, 6], [13], [13], [13], [12], [6, 6, 9], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13]]
[[13], [13], [13], [12], [13], [6, 6, 6], [6, 13], [6, 13], [13], [6, 13], [13], [9], [13], [6, 6, 6], [6, 13]]
[[12], [6, 6, 6], [13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [6, 9], [13]]
[[13], [12], [13], [13], [6, 6, 6], [13], [6, 9], [6, 6, 6], [13], [6, 6, 6], [13], [], [13], [13], [13], [13], [13]]
[[13], [6, 6], [13], [13], [13], [6, 9], [12], [6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 6], [6, 6], [6]]
[[13], [6, 6], [9], [13], [6, 6], [13], [], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [12], [13], [13], [13], [13]]
[[13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [9], [12], [], [13], [13], [6, 6], [6, 6], [6, 6], [], [13], [13]]
[[13], [13], [6, 6], [], [6, 6], [13], [13], [], [12], [13], [6, 6], [13], [6, 6], [13], [13], [9], [6, 6], [], [13], [13], [13]]
[[13], [], [], [13], [], [6, 6], [6, 6], [9], [13], [13], [6, 6], [13], [13], [], [13], [13], [13], [13], [6, 6], [13], [12], [6, 6]]
[[], [13], [], [13], [13], [9], [], [13], [13], [6, 6], [12], [6, 6], [13], [6, 6], [], [13], [13], [13], [6, 6], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [223], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [149, 100, 74, 60, 50, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [112, 75, 56, 45, 38, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 9, 13, 13, 13, 13, 13], [6, 11, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 11, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [6, 6, 6, 6, 13, 13], [6, 6, 6, 6, 6, 6, 9, 11], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [11, 13, 13, 13], [6, 13, 13], [9, 13, 13, 13], [6, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [6, 6, 6, 13], [11, 13, 13], [9, 13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 13], [9, 11, 13], [13, 13]]
[[], [6, 13], [6, 13, 13], [9, 11], [6, 6, 6, 6, 6], [6, 13, 13], [6, 13, 13], [13, 13], [6, 13, 13]]
[[], [6, 6, 13], [13, 13], [13, 13], [13, 13], [6, 9, 11], [6, 6], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [], [6, 6, 9], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [11, 13], [13, 13], [13, 13]]
[[13], [13], [6, 6, 6, 6], [13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [9, 13], [13], [11, 13], [13]]
[[13], [6, 13], [13], [6, 6, 6, 6], [13], [13], [6, 6, 6, 6], [13], [13], [6, 13], [11, 13], [13], [9, 13]]
[[13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 9], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 11]]
[[13], [13], [13], [13], [13], [6, 6, 6], [6, 13], [6, 13], [11], [6, 13], [13], [9], [13], [6, 6, 6], [6, 13]]
[[13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [11], [13], [6, 9], [13]]
[[13], [13], [13], [13], [6, 6, 6], [6, 11], [9], [6, 6, 6], [13], [6, 6, 6], [13], [], [13], [13], [13], [13], [13]]
[[13], [6, 6], [13], [13], [13], [6, 9], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 11], [6, 6], []]
[[13], [6, 6], [9], [13], [6, 6], [], [11], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13]]
[[13], [13], [11], [6, 6], [13], [13], [13], [6, 6], [13], [9], [13], [], [13], [13], [6, 6], [6, 6], [6, 6], [], [13], [13]]
[[13], [13], [6, 6], [], [6, 6], [11], [13], [], [6, 6], [13], [6, 6], [13], [13], [13], [13], [9], [6, 6], [], [13], [13], [13]]
[[13], [], [], [13], [], [6, 6], [6, 6], [9], [13], [13], [6, 6], [11], [13], [], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6]]
[[], [13], [], [13], [13], [9], [], [13], [13], [6, 6], [6, 6], [6, 6], [13], [6, 6], [], [13], [13], [13], [11], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [222], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 24, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 18, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 13, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13, 13, 13]]
[[13], [6, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [6, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [6, 13, 13, 13], [13, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13], [6, 6, 6, 6, 13], [13, 13, 13], [13, 13, 13]]
[[13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [6, 13, 13], [6, 13, 13], [], [6, 6, 6, 6, 6], [6, 13, 13], [6, 13, 13], [6, 13, 13], [6, 13, 13]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [6], [6, 6, 6, 6, 6], [13, 13], [13, 13]]
[[], [13, 13], [], [6, 6, 6], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [13], [6, 6, 13], [13], [6, 6, 13], [6, 6, 13], [6, 13], [13], [6, 6, 13], [13], [6, 6, 13], [13]]
[[13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [13], [6, 13]]
[[13], [6, 6, 6], [13], [13], [13], [13], [6, 13], [13], [13], [6, 13], [6, 13], [6, 13], [6, 6, 6], [6, 13]]
[[13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [6, 13], [13], [13], [13], [6, 6, 6], [6, 13]]
[[13], [6, 6, 6], [13], [13], [6, 6], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [6, 6, 6], [13], [6, 6], [6, 6, 6], [13], [6, 6, 6], [13], [], [13], [13], [13], [13], [13]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 6], [6, 6], [6]]
[[13], [6, 6], [6], [13], [6, 6], [13], [], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13]]
[[13], [13], [6], [6, 6], [13], [13], [13], [6, 6], [13], [13], [13], [], [13], [13], [6, 6], [6, 6], [6, 6], [], [13], [13]]
[[13], [13], [6, 6], [], [6, 6], [13], [13], [], [6, 6], [13], [6, 6], [13], [6], [13], [13], [13], [6, 6], [], [13], [13], [13]]
[[13], [], [], [13], [], [6, 6], [6, 6], [6, 6], [13], [13], [6], [13], [13], [], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6]]
[[], [13], [], [13], [13], [6, 6], [], [13], [13], [6, 6], [6, 6], [6], [13], [], [13], [13], [13], [13], [6, 6], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [221], 23]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,23. UB Alg: [148, 98, 74, 60, 49, 42, 37, 33, 30, 28, 25, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [111, 74, 56, 45, 37, 32, 28, 25, 23, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,23:
-StartAllocation
[[10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 7, 7, 8, 8, 9, 11, 12]]
[[9, 13, 13], [6, 6, 7, 7, 8, 8, 10, 10, 10, 11, 12], [13, 13, 13, 13, 13, 13, 13]]
[[9, 11], [13, 13, 13, 13, 13], [7, 7, 8, 8, 10, 10, 10, 12], [6, 6, 13, 13, 13, 13]]
[[13, 13, 13, 13], [13, 13, 13, 13], [11, 12], [6, 6, 7, 7, 10, 10, 10], [8, 8, 9, 13]]
[[13, 13, 13], [8, 8, 10, 10, 10], [], [6, 6, 7, 7, 11, 12], [9, 13, 13, 13], [13, 13, 13]]
[[13, 13, 13], [13, 13, 13], [10], [7, 7, 10, 10], [6, 6, 11], [8, 8, 9, 12], [13, 13, 13]]
[[8, 13, 13], [8, 13, 13], [13, 13], [12], [6, 6, 7, 7, 11], [10, 10, 10], [13], [9, 13, 13]]
[[7, 7, 8, 8], [11, 13], [13, 13], [10, 10, 10], [13, 13], [13, 13], [12], [6, 6, 9], [13, 13]]
[[13, 13], [13, 13], [11, 12], [6, 6, 9], [10, 10, 10], [8, 8, 13], [], [7, 7], [13, 13], [13, 13]]
[[11, 13], [13, 13], [6, 6, 13], [8, 8, 10], [13, 13], [9], [], [10, 10], [7, 7], [13, 13], [12, 13]]
[[6, 6, 13], [11, 13], [8, 13], [13], [13], [12, 13], [10, 10], [8, 10], [7, 7], [13], [9, 13], [13]]
[[9, 13], [6, 13], [7, 13], [13], [13], [10, 11], [8, 8], [7, 13], [6, 13], [10, 10], [12], [13], [13]]
[[6, 13], [6, 13], [10, 10], [13], [13], [13], [8, 8], [13], [9, 12], [13], [7, 7], [13], [10, 11], [13]]
[[13], [7, 9], [13], [13], [13], [13], [13], [12], [8, 11], [13], [6, 6, 7], [8, 10], [10, 10], [13], [13]]
[[8, 10], [8, 9], [13], [13], [13], [13], [10], [12], [6, 6], [7, 10], [13], [13], [7, 11], [13], [13], [13]]
[[6, 10], [6, 11], [13], [13], [13], [13], [10], [10], [9], [13], [12], [7, 7], [8, 8], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [10], [13], [9], [], [12], [11], [8, 8], [6, 10], [7, 10], [13], [13], [13], [6, 7]]
[[10], [6, 6], [13], [13], [13], [13], [10], [9], [7, 7], [10], [8, 8], [], [13], [13], [12], [13], [11], [13], [13]]
[[13], [13], [13], [13], [13], [13], [12], [13], [8, 8], [10], [], [], [7, 7], [9], [6, 6], [11], [10], [13], [13], [10]]
[[13], [13], [13], [13], [13], [7, 7], [], [], [10], [10], [13], [8], [10], [6, 6], [8], [11], [12], [9], [13], [13], [13]]
[[13], [13], [8], [13], [13], [10], [], [], [7, 7], [13], [12], [11], [9], [], [13], [10], [13], [8], [6, 6], [10], [13], [13]]
[[10], [12], [13], [13], [13], [13], [13], [8], [13], [10], [11], [], [6, 6], [7], [10], [], [], [7], [8], [13], [9], [13], [13]]
-EndAllocation

Instance: [[1], [240], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [13, 13, 13, 13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 11], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 13, 13], [11, 13, 13, 13]]
[[], [6, 13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [6, 13, 13, 13], [13, 13], [6, 11, 13, 13]]
[[], [6, 6, 6, 6, 13], [13, 13, 13], [13, 13, 13], [13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [11, 13, 13]]
[[13, 13], [13, 13], [13, 13], [13, 13], [11, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13]]
[[], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [11, 13]]
[[], [13, 13], [11, 13], [6, 6, 13], [6, 6, 6, 6], [13, 13], [13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6]]
[[], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [11, 13], [6, 6, 13], [13], [13, 13], [13, 13], [], [13, 13]]
[[13], [6, 6, 13], [6, 6, 13], [13], [6, 6, 13], [6, 6, 13], [13], [13], [13], [13], [11, 13], [6, 6, 13], [13]]
[[13], [13], [13], [6, 13], [6, 13], [13], [6, 6, 6, 6], [6, 13], [11, 13], [6, 13], [6, 13], [13], [6, 13], [13]]
[[11], [6, 13], [6, 13], [6, 6, 6], [13], [13], [6, 13], [13], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [13], [6, 13], [13], [6, 11], [6, 6, 6], [13], [13], [6, 13], [13], [13], [13], [13], [6, 13], [6, 6, 6], [13]]
[[13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [11], [13], [13], [13], [13], [13], [13], [13], [6, 13]]
[[13], [13], [6, 11], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [], [13], [6, 6, 6], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [13], [13], [11], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13]]
[[13], [13], [6, 6], [13], [13], [], [11], [13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [6, 6], [13]]
[[13], [13], [13], [11], [13], [], [], [6, 6], [13], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [6, 6], [13]]
[[13], [13], [13], [6, 6], [6, 6], [13], [11], [6, 6], [6, 6], [13], [13], [6, 6], [13], [13], [13], [13], [13], [13], [], [], [13], []]
[[13], [13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [6, 6], [], [6, 6], [13], [13], [6, 6], [11], [13], [], [13], [], [], [13], [13]]
[[], [13], [13], [13], [], [6, 6], [11], [], [6, 6], [13], [13], [], [13], [13], [13], [13], [6, 6], [13], [6, 6], [], [6, 6], [13], [13], [13]]
-EndAllocation

Instance: [[1], [239], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [160, 106, 80, 64, 53, 46, 40, 36, 32, 29, 26, 25, 24, 21, 20, 20, 18, 17, 16, 16, 14, 14, 13], Opt: [120, 80, 60, 48, 40, 35, 30, 27, 24, 22, 20, 19, 18, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[6, 7, 8, 10, 12, 12, 13, 13], [2, 3, 4, 5, 9, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 13, 13], [3, 4, 7, 9, 9, 11, 11, 13, 13, 13, 13], [2, 5, 8, 10, 12, 12, 13, 13, 13, 13]]
[[9], [3, 4, 5, 7, 8, 9, 10, 12, 12], [2, 13, 13, 13, 13, 13, 13], [6, 11, 11, 13, 13, 13, 13]]
[[13, 13], [6, 11, 11, 12, 12], [2, 3, 5, 8, 9, 13, 13], [7, 9, 10, 13, 13], [4, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [4, 9, 9, 10, 11], [3, 5, 7, 11, 12, 12], [2, 8, 13, 13, 13], [6, 13, 13, 13]]
[[13], [4, 9, 12, 12], [2, 9, 10, 13], [8, 11, 11, 13], [5, 13, 13], [3, 6, 13, 13], [7, 13, 13, 13]]
[[], [13, 13, 13], [3, 7, 10], [13, 13, 13], [4, 5, 12, 12], [9, 13, 13], [8, 13, 13], [2, 6, 9, 11, 11]]
[[], [3, 5, 13, 13], [2, 7, 13, 13], [13], [6, 13, 13], [4, 12, 12], [8, 9, 9, 10], [11, 11, 13], [13, 13]]
[[], [12, 12], [13, 13], [2, 10, 13], [7, 9, 13], [4, 5, 6, 13], [3, 13, 13], [13, 13], [8, 11, 11], [9, 13]]
[[], [11, 11], [4, 9, 12], [2, 6, 9], [13, 13], [3, 13, 13], [13, 13], [5, 13], [7, 8, 13], [13, 13], [10, 12]]
[[], [6, 13], [5, 13], [10, 13], [11, 11], [12, 13], [4, 9, 9], [13, 13], [3, 12], [13, 13], [8, 13], [2, 7, 13]]
[[13], [7, 9, 9], [13], [11, 13], [2, 5, 13], [13], [8, 13], [12, 12], [4, 13], [3, 6, 11], [13], [10, 13], [13]]
[[13], [2, 3, 11], [13], [13], [13], [4, 5, 9], [11, 13], [13], [7, 13], [13], [12, 12], [10, 13], [13], [6, 8, 9]]
[[13], [2, 8, 11], [13], [3, 5, 13], [12], [13], [13], [13], [13], [9, 12], [9, 11], [13], [4, 13], [6, 13], [7, 10]]
[[12], [7, 10], [13], [2, 4, 13], [5, 11], [6, 13], [13], [13], [13], [9, 11], [3, 12], [13], [13], [13], [8, 9], [13]]
[[12], [2, 13], [13], [4, 13], [11], [13], [11], [3, 7], [8, 12], [13], [9, 10], [6, 13], [13], [13], [13], [5, 13], [9]]
[[13], [13], [3, 9], [13], [6, 8], [10], [9], [13], [13], [7, 11], [13], [11], [4, 13], [5, 13], [12], [13], [13], [2, 12]]
[[13], [13], [12], [13], [3, 10], [12], [13], [6, 11], [9], [13], [], [11], [13], [7, 8], [2, 5, 9], [13], [13], [13], [4, 13]]
[[10], [13], [], [13], [5, 7], [13], [13], [12], [9], [2, 4, 8], [13], [6, 9], [13], [11], [13], [11], [13], [13], [12], [3, 13]]
[[12], [6, 7], [13], [11], [10], [3, 13], [4, 9], [13], [13], [2, 5], [13], [11], [13], [13], [13], [13], [13], [8], [12], [], [9]]
[[9], [13], [8], [12], [6], [13], [13], [13], [11], [13], [12], [13], [5, 9], [3], [11], [13], [13], [10], [13], [2, 4], [7], [13]]
[[13], [13], [3, 10], [9], [13], [2, 5, 7], [13], [], [11], [13], [9], [11], [8], [], [12], [13], [12], [6], [13], [13], [13], [13], [4]]
[[13], [13], [13], [13], [9], [], [5], [13], [2, 11], [10], [12], [13], [13], [12], [3, 9], [6], [11], [7], [13], [8], [13], [13], [], [4]]
-EndAllocation

Instance: [[1], [238], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [158, 106, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [119, 80, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 9, 11, 11, 12, 12], [5, 5, 5, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 13, 13], [12, 12, 13, 13, 13, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13], [13, 13, 13, 13, 13, 13], [9, 11, 11, 12, 12, 13]]
[[], [9, 11, 11, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 13], [12, 13, 13, 13, 13], [12, 13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 13], [13, 13, 13], [9, 13, 13, 13], [13, 13, 13, 13], [11, 11, 12, 12]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13], [9, 11, 11, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [5, 12, 12], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 9], [5, 11, 11, 13], [13]]
[[], [5, 5, 5, 5, 5, 5, 5], [13, 13], [9, 13, 13], [13, 13], [11, 13], [13, 13], [11, 12, 12], [5, 13, 13]]
[[13], [9, 13], [11, 11], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 13], [13, 13], [13, 13], [12, 12], [13, 13]]
[[], [13, 13], [13, 13], [9, 13], [11, 11], [12, 12], [13, 13], [13], [5, 5, 5, 13], [5, 5, 5, 5, 5], [13, 13]]
[[], [11, 11], [5, 5, 5, 5, 5], [13, 13], [], [9, 13], [13, 13], [13, 13], [5, 5, 5], [13, 13], [13, 13], [12, 12]]
[[13], [5, 5, 5, 5], [12, 13], [5, 5, 13], [11, 13], [13], [13], [13], [11, 12], [13], [13], [5, 5, 13], [9, 13]]
[[13], [13], [13], [9, 13], [5, 12], [5, 13], [11, 11], [5, 13], [5, 13], [5, 13], [13], [5, 5, 12], [13], [5, 13]]
[[11], [5, 13], [5, 13], [13], [9, 12], [5, 13], [5, 11], [13], [5, 13], [5, 12], [5, 13], [13], [13], [13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 13], [13], [5, 13], [9, 11], [5, 12], [11], [5, 13], [13], [12], [13]]
[[13], [13], [13], [9], [13], [13], [5, 13], [13], [5, 5, 5], [12], [13], [5, 13], [5, 13], [13], [5, 12], [11], [5, 11]]
[[13], [11], [13], [13], [13], [9], [13], [5, 5, 5], [5, 5, 5], [5, 13], [11], [5, 12], [13], [13], [13], [13], [13], [12]]
[[13], [9], [13], [5, 5, 5], [13], [13], [13], [11], [12], [5, 11], [13], [13], [13], [13], [5, 12], [13], [], [5, 5, 5], [13]]
[[9], [13], [11], [], [5, 5, 5], [12], [13], [13], [5, 5, 5], [5, 5], [13], [13], [12], [11], [13], [13], [13], [13], [13], [13]]
[[13], [13], [5, 11], [5, 5, 5], [11], [13], [13], [5], [13], [13], [], [13], [12], [], [5, 5, 5], [13], [12], [13], [13], [13], [9]]
[[13], [13], [5, 5], [], [12], [5, 5], [13], [13], [5], [13], [13], [13], [5, 5], [11], [5, 9], [12], [11], [13], [13], [], [13], [13]]
[[12], [11], [13], [13], [11], [13], [13], [13], [13], [13], [], [5, 5], [9], [13], [5, 5], [12], [13], [13], [], [5, 5], [], [5, 5], [13]]
[[13], [13], [], [9], [5, 5], [13], [], [], [5, 5], [13], [11], [], [12], [13], [12], [5, 5], [13], [13], [11], [13], [13], [5, 5], [13], [13]]
-EndAllocation

Instance: [[1], [237], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [158, 105, 80, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [119, 79, 60, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 12], [12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [10, 11, 12, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13]]
[[13, 13], [11, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 12, 13], [9, 10, 12, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 12], [13, 13, 13, 13], [9, 10, 11, 12, 13]]
[[], [13, 13, 13, 13], [12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 11], [10, 13, 13, 13], [9, 12, 13]]
[[], [9, 10, 12, 13], [13, 13, 13], [12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [11, 13, 13], [13, 13, 13]]
[[], [12, 13, 13], [10, 11, 12], [9], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13]]
[[], [12, 13], [13, 13], [10, 13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [9, 11, 13], [5, 12, 13], [13, 13]]
[[13], [13, 13], [12, 13], [10, 13], [5, 5, 5, 5, 5, 5], [11, 13], [9, 12], [5, 5, 13], [13, 13], [13, 13]]
[[], [13, 13], [5, 5, 5, 13], [13, 13], [13, 13], [12], [10, 11], [5, 5, 5, 5, 5], [12, 13], [9, 13], [13, 13]]
[[], [11, 13], [13, 13], [13, 13], [], [5, 5, 5], [13, 13], [12, 13], [10, 13], [5, 5, 5, 5, 5], [12, 13], [9, 13]]
[[13], [13], [5, 5, 13], [5, 5, 13], [11, 13], [9, 12], [10, 13], [13], [5, 5, 13], [5, 5, 12], [13], [13], [13]]
[[13], [5, 13], [9, 13], [13], [13], [5, 13], [13], [5, 13], [5, 5, 12], [5, 12], [5, 13], [13], [5, 13], [10, 11]]
[[11], [13], [5, 13], [5, 12], [13], [13], [5, 12], [5, 13], [5, 13], [9, 10], [13], [5, 13], [5, 13], [5, 13], [13]]
[[13], [13], [13], [5, 5, 5, 5], [12], [9, 10], [13], [5, 11], [5, 13], [5, 13], [13], [13], [13], [13], [5, 12], [13]]
[[13], [13], [13], [13], [5, 10], [5, 11], [5, 13], [13], [13], [5, 13], [5, 5, 5], [9], [12], [13], [13], [13], [5, 12]]
[[13], [13], [13], [13], [12], [13], [5, 12], [5, 5, 5], [13], [13], [13], [5, 13], [13], [9], [10], [5, 5, 5], [13], [11]]
[[13], [5, 5, 5], [12], [5, 5, 5], [13], [13], [13], [5, 10], [], [13], [13], [13], [13], [11], [13], [9], [5, 12], [13], [13]]
[[13], [13], [9], [11], [12], [10], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13], [], [13], [13], [12], [13], [13], [5, 5]]
[[13], [13], [13], [5, 5, 5], [9], [5, 5, 5], [13], [10], [13], [11], [13], [13], [13], [12], [12], [], [5, 5], [], [13], [13], [13]]
[[13], [13], [5], [13], [5, 5], [13], [13], [13], [5, 5], [13], [9], [13], [], [12], [12], [13], [11], [13], [5], [10], [5, 5], [13]]
[[13], [12], [], [5, 5], [5], [9], [13], [13], [], [13], [5, 5], [5, 5], [13], [10], [13], [11], [13], [5], [13], [12], [13], [13], [13]]
[[13], [10], [], [13], [5], [13], [13], [13], [5, 5], [13], [], [12], [13], [5, 5], [13], [5, 5], [13], [13], [5], [13], [12], [], [11], [9]]
-EndAllocation

Instance: [[1], [236], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [157, 105, 78, 64, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [118, 79, 59, 48, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 11, 12], [10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 13, 13], [9, 12, 13, 13, 13, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 13], [13, 13, 13, 13, 13, 13], [9, 11, 12, 13, 13, 13]]
[[], [9, 11, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 11, 13], [12, 13, 13, 13, 13], [10, 13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 13], [11, 13, 13], [9, 13, 13, 13], [13, 13, 13, 13], [10, 11, 12, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [12, 13, 13], [9, 11, 11, 13], [10, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [5, 12], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 9], [11, 13, 13], [5, 10, 11]]
[[], [5, 5, 5, 5, 5, 5, 5], [13, 13], [9, 10, 13], [13, 13], [11, 13], [13, 13], [11, 12, 13], [5, 13, 13]]
[[], [9, 10, 13], [11, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 13], [13, 13], [11, 13], [12, 13], [13, 13]]
[[], [10, 13], [13, 13], [9, 13], [11, 13], [11, 12], [13, 13], [13], [5, 5, 5, 13], [5, 5, 5, 5, 5], [13, 13]]
[[], [11, 13], [5, 5, 5, 5, 5], [10, 13], [], [9, 13], [13, 13], [13, 13], [5, 5, 5], [13, 13], [13, 13], [11, 12]]
[[13], [5, 5, 13], [12, 13], [5, 5, 13], [5, 5, 11], [10], [13], [13], [11, 13], [13], [13], [5, 5, 13], [9, 13]]
[[13], [10, 12], [13], [9, 13], [13], [5, 13], [5, 5, 11], [5, 13], [5, 13], [5, 13], [13], [5, 5, 11], [13], [13]]
[[11], [5, 13], [5, 13], [13], [5, 5, 9], [13], [10, 11], [13], [5, 13], [5, 12], [5, 13], [13], [13], [13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 13], [13], [5, 13], [9, 11], [12], [11], [13], [13], [13], [5, 5, 10]]
[[13], [13], [13], [9], [13], [5, 5, 5], [13], [13], [5, 10], [13], [13], [5, 13], [5, 13], [13], [5, 12], [11], [5, 11]]
[[13], [11], [13], [13], [13], [9], [10], [5, 5, 5], [5, 5, 5], [5, 13], [11], [5, 12], [13], [13], [13], [13], [13], [13]]
[[13], [9], [13], [5, 5, 5], [13], [10], [13], [11], [13], [5, 11], [13], [13], [13], [13], [5, 12], [13], [], [5, 5, 5], [13]]
[[9], [13], [11], [], [5, 5, 5], [12], [10], [13], [5, 5, 5], [5, 5], [13], [13], [13], [11], [13], [13], [13], [13], [13], [13]]
[[10], [13], [5, 11], [5, 5, 5], [11], [13], [13], [5], [13], [13], [13], [13], [], [], [5, 5, 5], [13], [12], [13], [13], [13], [9]]
[[13], [13], [5, 5], [5], [12], [5, 5], [13], [13], [5, 5], [13], [13], [13], [10], [11], [5, 9], [13], [11], [13], [], [], [13], [13]]
[[12], [13], [13], [13], [11], [13], [13], [13], [13], [10], [], [5, 5], [9], [13], [5, 5], [], [13], [11], [13], [5, 5], [], [5, 5], [13]]
[[13], [13], [], [9], [5, 5], [13], [10], [], [5, 5], [13], [11], [], [12], [13], [], [5, 5], [13], [13], [11], [13], [13], [5, 5], [13], [13]]
-EndAllocation

Instance: [[1], [235], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [157, 105, 78, 62, 53, 45, 40, 36, 32, 29, 26, 25, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [118, 79, 59, 47, 40, 34, 30, 27, 24, 22, 20, 19, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 13, 13, 13], [12, 13, 13, 13, 13, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13, 13, 13], [9, 12, 13, 13, 13, 13]]
[[12], [9, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [9, 13, 13, 13], [13, 13, 13, 13], [12, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 13, 13], [9, 13, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [5, 5, 5, 12], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 9], [13, 13, 13], [13]]
[[], [5, 5, 5, 5, 5, 5, 5], [13, 13], [9, 13, 13], [13, 13], [13, 13], [13, 13], [12, 13], [5, 5, 13, 13]]
[[], [9, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 13], [13, 13], [13, 13], [12, 13], [13, 13]]
[[], [13, 13], [13, 13], [9, 13], [13, 13], [12, 13], [13, 13], [13], [5, 5, 5, 5], [5, 5, 5, 5, 5], [13, 13]]
[[], [13, 13], [5, 5, 5, 5, 5], [13], [], [9, 13], [13, 13], [13, 13], [5, 5, 5, 5], [13, 13], [13, 13], [12, 13]]
[[13], [5, 5, 13], [12, 13], [5, 5, 13], [5, 5, 13], [13], [13], [13], [5, 13], [13], [13], [5, 5, 13], [9, 13]]
[[13], [5, 13], [13], [9, 13], [5, 5, 12], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [13], [5, 13]]
[[13], [5, 13], [5, 13], [13], [5, 5, 9], [5, 13], [13], [13], [5, 13], [5, 12], [5, 13], [13], [13], [13], [5, 13]]
[[13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 13], [13], [5, 13], [9], [5, 13], [13], [5, 13], [13], [5, 13], [12]]
[[13], [13], [13], [9], [13], [13], [13], [13], [5, 5, 5], [13], [13], [5, 13], [5, 13], [13], [5, 12], [13], [5, 5, 5]]
[[13], [13], [13], [13], [13], [9], [13], [5, 5, 5], [5, 5, 5], [5, 5], [13], [5, 12], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [13], [5, 9], [13], [13], [5], [13], [5, 12], [13], [], [5, 5, 5], [13]]
[[9], [13], [], [], [5, 5, 5], [12], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [13], [13], [13], [13]]
[[13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [], [13], [], [], [5, 5, 5], [13], [12], [13], [13], [13], [9]]
[[13], [13], [5, 5], [], [12], [5, 5], [13], [13], [5, 5], [13], [13], [13], [5, 5], [13], [5, 9], [13], [], [13], [13], [], [13], [13]]
[[12], [13], [13], [13], [], [13], [13], [13], [13], [13], [], [5, 5], [9], [13], [5, 5], [5], [13], [13], [13], [5, 5], [], [5, 5], [13]]
[[13], [13], [], [9], [5, 5], [13], [5], [], [5, 5], [13], [], [13], [12], [13], [], [5, 5], [13], [13], [13], [13], [13], [5, 5], [13], [13]]
-EndAllocation

Instance: [[1], [234], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 6, 6, 6, 6, 6, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [3, 3, 3, 6, 6, 6, 6, 6, 6, 10, 11, 12, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [3, 3, 3, 6, 6, 6, 6, 6, 6, 12, 13, 13], [10, 11, 13, 13, 13, 13, 13, 13]]
[[13], [3, 3, 3, 11, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 10, 12, 13], [13, 13, 13, 13, 13, 13]]
[[13, 13], [3, 3, 3, 6, 6, 6, 6, 6, 6, 10], [13, 13, 13, 13], [12, 13, 13, 13], [11, 13, 13, 13]]
[[], [3, 3, 3, 11, 13, 13], [6, 6, 6, 6, 6, 6, 10], [12, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13]]
[[13], [3, 6, 6, 6, 6, 6, 11], [10, 12, 13], [3, 3, 13, 13, 13], [13], [13, 13, 13], [6, 13, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 6, 6, 10], [13, 13, 13], [13, 13, 13], [3, 3, 3, 11, 13], [6, 12], [13, 13]]
[[13, 13], [3, 3, 3, 6, 10], [13, 13], [13, 13], [11, 12], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [6, 12, 13], [13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [10, 13], [13, 13], [3, 3, 3, 13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [10], [6, 6, 12], [13, 13], [13, 13], [11, 13], [13, 13], [3, 3, 3, 13]]
[[], [13, 13], [13, 13], [13, 13], [11], [13, 13], [6, 6, 13], [3, 3, 3, 13], [10, 12], [6, 6, 6, 6], [13, 13], []]
[[13], [11, 12], [6, 13], [10, 13], [3, 3, 3, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [13]]
[[13], [13], [13], [6, 13], [6, 13], [13], [3, 3, 3, 11], [6, 13], [6, 13], [13], [6, 13], [10, 12], [6, 13], [13]]
[[13], [6, 13], [3, 3, 3, 12], [6, 10], [6, 13], [13], [13], [13], [6, 13], [13], [6, 13], [6, 13], [11], [13], [13]]
[[11], [6, 13], [3, 3, 3, 6], [13], [6, 13], [13], [13], [13], [12], [6, 13], [13], [13], [10], [13], [6, 13], [6, 13]]
[[12], [13], [13], [6, 10], [13], [13], [13], [13], [13], [13], [13], [13], [13], [13], [3, 6, 6], [6, 6, 6], [3, 3, 11]]
[[13], [13], [13], [6, 11], [6, 6], [13], [13], [6, 10], [13], [13], [3, 12], [13], [13], [3, 3, 6], [13], [13], [6], [13]]
[[13], [13], [6, 6], [13], [13], [13], [13], [13], [13], [12], [6, 6], [13], [11], [13], [6, 6], [13], [3, 3, 3], [10], [13]]
[[], [12], [13], [13], [11], [13], [13], [6, 6], [13], [13], [6, 6], [3, 3], [13], [13], [13], [13], [13], [10], [3, 13], [6, 6]]
[[13], [13], [13], [10], [], [13], [6, 6], [6, 6], [], [13], [13], [13], [6, 6], [3, 3, 3], [13], [13], [13], [13], [11], [12], [13]]
[[13], [13], [13], [13], [], [13], [], [6, 6], [10], [3, 3, 3], [], [13], [13], [6, 6], [11], [6, 6], [13], [13], [13], [12], [13], [13]]
[[13], [12], [], [13], [13], [13], [], [13], [], [13], [10], [13], [13], [6, 6], [6, 6], [13], [13], [], [11], [3, 3, 3], [13], [13], [6, 6]]
[[13], [13], [13], [], [6, 6], [10], [13], [3, 3, 3], [13], [13], [13], [6, 6], [11], [13], [12], [], [13], [], [], [6, 6], [13], [13], [], [13]]
-EndAllocation

Instance: [[1], [233], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [156, 104, 78, 62, 52, 45, 40, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [117, 78, 59, 47, 39, 34, 30, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13], [11, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [6, 13, 13, 13, 13], [11, 13, 13, 13]]
[[], [11, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 13]]
[[], [6, 6, 6, 6, 6, 11], [13, 13, 13], [6, 13, 13, 13], [6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [11, 13, 13], [6, 6, 6, 6, 6], [13]]
[[13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [11, 13], [6, 13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [6, 6, 6, 6, 6], [13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13], [13, 13], [6, 13, 13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [13], [6, 6, 6, 6], [13, 13], [13, 13], [11, 13], [6, 6, 6], [13, 13]]
[[], [13, 13], [13, 13], [13], [6, 6, 11], [13, 13], [6, 6, 6, 6], [6, 13], [13, 13], [6, 6, 6, 6], [13, 13], []]
[[13], [11, 13], [6, 13], [6, 13], [6, 13], [6, 6, 6, 6], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [13]]
[[13], [13], [6, 6, 6], [6, 13], [6, 13], [13], [6, 11], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [6, 6, 6], [13], [6, 13], [6, 6, 6], [13], [13], [13], [6, 13], [13], [6, 13], [6, 13], [11], [6, 13], [13]]
[[11], [13], [6, 13], [13], [6, 13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6]]
[[13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6, 6], [6, 6, 6], [11]]
[[13], [6, 6], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [6, 6], [13], [6, 11], [13], [13], [13]]
[[], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [6, 6], [6, 11], [13], [6, 6], [13], [13], [13], [13]]
[[], [6, 6], [13], [13], [11], [6], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [13], [13], [6, 6]]
[[], [13], [13], [13], [6, 6], [13], [6, 6], [6, 6], [], [13], [6], [13], [6, 6], [13], [6, 6], [13], [13], [13], [11], [13], [13]]
[[13], [13], [13], [13], [], [13], [13], [6, 6], [6, 6], [], [], [6, 6], [13], [6, 6], [11], [6, 6], [13], [6], [13], [13], [13], [13]]
[[], [13], [6, 6], [13], [13], [13], [], [], [6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [], [11], [13], [13], [6, 6], [6, 6]]
[[13], [13], [13], [], [6, 6], [13], [13], [13], [13], [13], [], [6, 6], [11], [13], [], [], [6, 6], [6, 6], [6], [6, 6], [13], [13], [], [13]]
-EndAllocation

Instance: [[1], [232], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [154, 104, 77, 62, 52, 45, 38, 34, 32, 29, 26, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [116, 78, 58, 47, 39, 34, 29, 26, 24, 22, 20, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13], [11, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [12, 13, 13, 13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [6, 12, 13, 13, 13], [11, 13, 13, 13]]
[[], [11, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [12, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 13]]
[[], [6, 6, 6, 6, 6, 11], [12, 13, 13], [6, 13, 13, 13], [6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 13, 13], [11, 13, 13], [6, 6, 12, 13], [6, 13, 13]]
[[13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [11, 12], [6, 13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [6, 6, 6, 6, 6], [13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13], [13, 13], [6, 12, 13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [6], [6, 6, 12], [13, 13], [13, 13], [11, 13], [6, 6, 6, 6], [13, 13]]
[[], [13, 13], [13, 13], [13], [6, 6, 11], [13, 13], [6, 6, 6, 6], [6, 13], [12, 13], [6, 6, 6, 6], [13, 13], []]
[[13], [11, 12], [6, 13], [6, 13], [6, 13], [6, 6, 6, 6], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [13]]
[[13], [12], [6, 6, 6], [6, 13], [6, 13], [13], [6, 11], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [6, 6, 6], [13], [6, 13], [6, 6, 6], [13], [12], [13], [6, 13], [13], [6, 13], [6, 13], [11], [6, 13], [13]]
[[11], [13], [6, 13], [13], [6, 13], [13], [13], [13], [12], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6]]
[[12], [13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6, 6], [6, 6, 6], [11]]
[[13], [6, 6], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [13], [13], [12], [6, 6], [13], [6, 11], [13], [13], [13]]
[[], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [12], [6, 6], [6, 6], [6, 11], [13], [6, 6], [13], [13], [13], [13]]
[[], [12], [13], [13], [11], [6, 6], [13], [6, 6], [13], [13], [6, 6], [6], [13], [13], [6, 6], [13], [13], [13], [13], [6, 6]]
[[], [13], [13], [13], [6, 6], [13], [6, 6], [6, 6], [], [13], [6], [13], [6, 6], [13], [6, 6], [13], [13], [13], [11], [12], [13]]
[[13], [13], [13], [13], [], [13], [13], [6, 6], [6, 6], [], [], [6, 6], [13], [6, 6], [11], [6, 6], [13], [6], [13], [12], [13], [13]]
[[], [12], [6, 6], [13], [13], [13], [], [], [6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [], [11], [13], [13], [6, 6], [6, 6]]
[[13], [13], [13], [], [6, 6], [13], [13], [13], [13], [13], [], [6, 6], [11], [13], [12], [], [6, 6], [6, 6], [6], [6, 6], [13], [13], [], []]
-EndAllocation

Instance: [[1], [231], 24]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,24. UB Alg: [154, 102, 77, 62, 52, 44, 38, 34, 32, 28, 26, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13], Opt: [116, 77, 58, 47, 39, 33, 29, 26, 24, 21, 20, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,24:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12, 13], [13, 13, 13, 13, 13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 12], [6, 6, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [6, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 13, 13, 13, 13], [12, 13, 13, 13]]
[[], [12, 13, 13], [13, 13, 13, 13], [6, 6, 6, 10, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [13, 13, 13], [12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 10], [13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6], [12, 13, 13], [10, 13, 13], [6, 6, 6, 13], [6, 6, 13, 13], [13, 13], [13, 13]]
[[13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [13, 13], [12, 13], [6, 10, 13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [6, 13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 10], [13, 13], [6, 6, 6, 12], [13]]
[[], [6, 6, 6, 10], [13, 13], [13, 13], [13, 13], [6, 6, 12], [13, 13], [6, 6, 6, 6], [13, 13], [], [6, 6, 13]]
[[], [13], [6, 6, 6, 6], [], [13, 13], [6, 6, 6], [13, 13], [10, 12], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[13], [6, 13], [6, 6, 10], [6, 13], [13], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [6, 6, 12], [13]]
[[13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [10, 12], [6, 13], [6, 13], [6, 6, 6], [6, 13], [6, 13]]
[[13], [13], [6, 13], [13], [10], [12], [6, 13], [13], [6, 13], [6, 13], [6, 6, 6], [13], [6, 13], [13], [6, 6, 6]]
[[13], [6, 6, 6], [6, 12], [13], [13], [6, 13], [13], [6, 6, 6], [13], [13], [13], [10], [13], [13], [13], [6, 6, 6]]
[[13], [13], [13], [6, 6, 6], [6, 6], [6, 6, 6], [6, 6, 6], [12], [10], [13], [13], [13], [13], [13], [13], [13], [13]]
[[6, 10], [13], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13], [12], [13], [13], [13], [13], [13]]
[[13], [13], [6, 6], [6, 6], [6, 6], [], [6, 6], [13], [13], [6, 10], [13], [6, 6], [13], [12], [13], [13], [13], [13], [13]]
[[12], [], [6, 6], [13], [13], [13], [13], [6, 6], [13], [], [13], [6, 6], [13], [13], [13], [6, 6], [6, 10], [13], [6, 6], [13]]
[[12], [13], [13], [6, 6], [13], [], [6, 6], [13], [10], [6, 6], [], [6], [13], [13], [6, 6], [13], [13], [6, 6], [13], [13], [13]]
[[13], [10], [13], [13], [13], [6, 6], [6], [13], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], [], [12], [6, 6], [13], [], []]
[[13], [], [10], [13], [13], [13], [12], [], [13], [], [13], [], [6, 6], [13], [6], [6, 6], [13], [13], [6, 6], [13], [6, 6], [13], [6, 6]]
[[], [13], [13], [6, 6], [], [13], [13], [13], [], [13], [], [6, 6], [6], [10], [6, 6], [13], [6, 6], [13], [12], [], [13], [13], [13], [6, 6]]
-EndAllocation

Instance: [[1], [250], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 9, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [166, 112, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [125, 84, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 7, 7, 7, 7, 7, 8, 11, 12, 12], [4, 5, 9, 9, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [4, 5, 7, 7, 7, 7, 8, 9, 9, 12, 12, 12, 13], [6, 7, 10, 11, 13, 13, 13, 13, 13, 13]]
[[11], [6, 10, 13, 13, 13, 13, 13], [12, 12, 12, 13, 13, 13], [4, 5, 7, 7, 7, 7, 7, 8, 9, 9, 13]]
[[], [7, 9, 10, 12, 12, 13], [4, 5, 7, 7, 7, 7, 9, 12], [11, 13, 13, 13, 13], [6, 8, 13, 13, 13, 13]]
[[], [7, 7, 7, 7, 7, 9, 9], [4, 5, 13, 13, 13], [8, 13, 13, 13], [6, 10, 13, 13, 13], [11, 12, 12, 12]]
[[], [8, 10, 13, 13], [7, 7, 7, 7, 7, 11], [6, 13, 13, 13], [5, 9, 9, 13], [4, 12, 12, 12], [13, 13, 13]]
[[], [11, 12, 12], [12, 13], [13, 13, 13], [4, 8, 9, 9, 10], [5, 13, 13], [6, 7, 7, 7, 7, 7], [13, 13, 13]]
[[], [4, 9, 9, 13], [10, 12, 13], [6, 13, 13], [5, 12, 12], [11, 13], [7, 7, 7, 7, 7], [8, 13, 13], [13, 13]]
[[], [7, 13, 13], [4, 12, 12], [9, 9, 10], [5, 13, 13], [8, 13], [7, 7], [6, 11, 12], [7, 13, 13], [7, 13, 13]]
[[], [11, 13], [8, 13], [5, 12, 13], [4, 9, 9], [13, 13], [12, 12], [13, 13], [13, 13], [7, 7, 7, 7], [6, 7, 10]]
[[], [6, 13], [13, 13], [10, 13], [7, 7, 12], [9, 9], [5, 7, 7, 7], [13, 13], [4, 12, 12], [13], [8, 11], [13, 13]]
[[], [12, 12], [9, 11], [4, 13], [13], [13, 13], [7, 7], [9, 10], [13, 13], [6, 13], [12, 13], [5, 7, 7, 7], [8, 13]]
[[13], [12, 12], [10, 12], [7, 13], [13], [13], [6, 9, 9], [13], [7, 11], [13], [4, 7, 8], [7, 13], [7, 13], [5, 13]]
[[13], [13], [13], [9, 9], [6, 13], [7, 11], [13], [7, 7, 7], [13], [13], [7, 12], [4, 13], [8, 13], [5, 12], [10, 12]]
[[12], [9, 11], [12], [9, 12], [10], [13], [13], [8, 13], [4, 13], [13], [7, 7], [7, 7, 7], [13], [6, 13], [5, 13], [13]]
[[13], [6, 13], [7, 7], [7, 11], [13], [10], [13], [7, 8], [5, 13], [13], [12], [13], [4, 12], [13], [7, 13], [12], [9, 9]]
[[12], [13], [12], [7, 10], [13], [8], [7, 7], [11], [7, 7], [6, 12], [4, 13], [13], [5, 13], [13], [9, 9], [13], [13], [13]]
[[13], [12], [13], [10], [12], [7, 7], [13], [6, 7], [5, 8], [13], [9, 9], [13], [13], [7, 7], [13], [13], [12], [4, 11], [13]]
[[13], [12], [13], [11], [13], [13], [13], [13], [12], [7, 7], [7], [13], [7, 7], [9], [13], [12], [6, 9], [5, 8], [13], [4, 10]]
[[9], [13], [13], [13], [13], [13], [7, 7], [13], [5, 8], [4, 12], [11], [13], [6], [7, 7], [12], [7], [10], [12], [9], [13], [13]]
[[10], [7], [5], [11], [7, 7], [13], [4], [8], [12], [6, 9], [13], [13], [12], [13], [13], [7, 7], [13], [12], [13], [9], [13], [13]]
[[11], [8], [13], [9], [13], [5], [6], [13], [7, 7], [13], [13], [13], [10], [9], [7, 7], [13], [13], [12], [4], [12], [7], [12], [13]]
[[], [13], [13], [9], [13], [11], [6], [5], [13], [13], [7, 7], [9], [8], [4, 10], [13], [12], [13], [13], [7, 7], [], [13], [7], [12], [12]]
[[], [5], [13], [], [7], [13], [13], [13], [9], [13], [6, 7], [13], [12], [13], [13], [9], [12], [4, 8], [12], [11], [10], [7], [7], [7], [13]]
-EndAllocation

Instance: [[1], [249], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [166, 110, 84, 66, 56, 48, 42, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [125, 83, 63, 50, 42, 36, 32, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6], [6, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 13], [11, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 9, 13, 13, 13]]
[[], [6, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 13, 13, 13], [11, 13, 13, 13]]
[[], [6, 13, 13, 13], [6, 6, 6, 13], [6, 6, 6, 6, 6, 6, 11], [9, 13, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [9, 13, 13], [6, 6, 6, 11, 13], [13, 13, 13], [13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13], [13, 13], [11, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 9], [13, 13]]
[[13], [6, 13, 13], [11, 13], [13, 13], [13, 13], [13, 13], [9, 13], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6]]
[[], [13, 13], [13, 13], [13], [11, 13], [9, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6, 6]]
[[], [13, 13], [11, 13], [6, 6, 6, 6], [13, 13], [13, 13], [9, 13], [6, 6, 13], [6, 6, 6, 6], [], [13, 13], [13, 13]]
[[], [], [6, 6, 6, 6], [13, 13], [9, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 11]]
[[13], [6, 13], [11, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [9, 13], [6, 6, 6, 6], [13], [13], [13], [13]]
[[13], [6, 11], [6, 13], [13], [9, 13], [13], [6, 13], [6, 13], [6, 13], [6, 6, 6], [6, 13], [13], [13], [13], [6, 13]]
[[13], [13], [6, 13], [6, 6, 6], [9, 11], [6, 13], [13], [13], [13], [6, 13], [13], [13], [13], [13], [6, 13], [6, 6, 6]]
[[13], [6, 13], [11], [6, 6, 6], [6, 13], [6, 13], [13], [6, 6, 6], [13], [13], [6, 13], [13], [13], [13], [9], [13], [13]]
[[13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [13], [6, 9], [13], [11], [13], [13], [13], [13], [13], [6, 6, 6], [13]]
[[13], [6, 6, 6], [13], [13], [13], [9], [6, 6, 6], [11], [6], [13], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13]]
[[9], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [6, 6], [6, 6], [11], [13], [13], [6, 6], [13], [13]]
[[], [13], [13], [6, 9], [13], [13], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [13], [13], [13], [6], [11], [6, 6], [13], [13]]
[[13], [6, 6], [13], [13], [6, 6], [13], [], [13], [13], [13], [13], [13], [], [13], [11], [6, 6], [13], [13], [6, 6], [6], [13], [6, 9]]
[[13], [13], [13], [13], [13], [6, 6], [13], [], [11], [6, 6], [13], [13], [13], [13], [13], [6, 6], [], [9], [], [13], [13], [6, 6], [6, 6]]
[[], [], [], [13], [6, 6], [13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [], [13], [13], [9], [13], [13], [11], [13]]
[[], [13], [13], [9], [13], [11], [6, 6], [13], [6, 6], [6, 6], [13], [], [13], [13], [13], [], [6, 6], [], [13], [6, 6], [], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [248], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 13], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 7, 8, 8, 8, 11, 11, 12, 12], [3, 4, 5, 7, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[8, 8, 13], [3, 4, 5, 7, 9, 10, 10, 11, 12, 12, 13, 13], [6, 7, 8, 11, 13, 13, 13, 13, 13, 13]]
[[11], [3, 6, 10, 10, 11, 13, 13, 13], [12, 12, 13, 13, 13, 13], [4, 5, 7, 7, 8, 8, 8, 9, 13, 13]]
[[], [7, 9, 10, 10, 13, 13], [4, 5, 7, 8, 8, 8, 12, 12], [11, 11, 13, 13, 13], [3, 6, 13, 13, 13, 13]]
[[], [7, 7, 9, 13, 13], [3, 4, 5, 13, 13, 13], [8, 8, 8, 13, 13], [6, 10, 10, 13, 13], [11, 11, 12, 12]]
[[], [8, 8, 8, 10, 10], [7, 7, 11, 13], [6, 13, 13, 13], [3, 5, 9, 13, 13], [4, 11, 12, 12], [13, 13, 13]]
[[], [11, 12, 12], [13, 13], [11, 13, 13], [4, 8, 8, 8, 9], [3, 5, 13, 13], [6, 7, 7, 10, 10], [13, 13, 13]]
[[], [4, 9, 13], [7, 10, 10], [6, 13, 13], [3, 5, 12, 12], [11, 11, 13], [7, 13, 13], [8, 8, 8, 13], [13, 13]]
[[], [7, 13, 13], [4, 12, 12], [9, 10, 10], [5, 13, 13], [8, 8, 8], [11], [6, 11, 13], [7, 13, 13], [3, 13, 13]]
[[], [3, 11, 13], [8, 8, 8], [5, 11], [4, 9, 10], [13, 13], [12, 12], [13, 13], [13, 13], [7, 7, 13], [6, 10, 13]]
[[], [6, 8, 8], [13, 13], [8, 10, 10], [3, 7, 7], [9, 13], [5, 13], [13, 13], [4, 12, 12], [13], [11, 11], [13, 13]]
[[], [12, 12], [9, 11], [4, 10], [], [13, 13], [13, 13], [10, 11], [13, 13], [6, 13], [13, 13], [3, 7, 7, 8], [5, 8, 8]]
[[13], [10, 10], [12, 12], [7, 13], [13], [13], [6, 8, 9], [13], [11, 11], [13], [4, 8, 8], [13], [3, 7, 13], [5, 13]]
[[13], [3, 7], [13], [9, 13], [6, 13], [11], [13], [7, 12], [8, 13], [8, 13], [10], [4, 13], [8, 13], [5, 12], [10, 11]]
[[13], [9, 11], [3, 12], [12], [10, 10], [13], [8, 8], [8, 13], [13], [13], [7, 13], [4, 7], [13], [6, 11], [5, 13], [13]]
[[13], [6, 13], [7, 8], [7, 11], [13], [10, 10], [13], [8, 8], [5, 13], [13], [12], [13], [4, 13], [11], [3, 13], [12], [9]]
[[12], [13], [12], [7, 10], [3, 13], [8, 8], [7, 11], [10], [13], [6, 11], [4, 8], [13], [5, 13], [13], [9], [13], [13], [13]]
[[13], [12], [13], [10], [12], [13], [13], [6, 11], [5, 8], [13], [9], [13], [13], [7, 7], [13], [3, 10], [13], [4, 11], [8, 8]]
[[13], [12], [13], [11], [13], [13], [13], [13], [13], [7], [10], [13], [7, 8], [], [13], [5, 12], [9], [8, 8], [6, 11], [3, 4, 10]]
[[9], [13], [], [13], [13], [13], [13], [12], [8, 8], [4], [5, 11], [13], [6, 8], [7, 7], [12], [11], [10], [10], [13], [3, 13], [13]]
[[10], [13], [5], [11], [7, 7], [10], [4], [8, 8], [12], [6], [13], [8], [12], [13], [13], [3, 13], [13], [11], [13], [9], [13], [13]]
[[11], [8], [13], [13], [11], [5], [6], [], [7, 7], [13], [13], [13], [10], [8], [13], [13], [13], [12], [4, 10], [12], [13], [3, 9], [8]]
[[10], [13], [8], [3, 9], [11], [11], [6], [5], [13], [13], [13], [], [8], [4, 10], [13], [12], [13], [8], [7, 7], [], [13], [13], [12], [13]]
[[13], [5], [13], [], [13], [13], [13], [10], [9], [8], [6], [8], [12], [13], [13], [7], [11], [4, 8], [12], [11], [10], [7], [13], [13], [3]]
-EndAllocation

Instance: [[1], [247], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [165, 110, 82, 66, 56, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [124, 83, 62, 50, 42, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 7, 7, 8, 8, 9, 9, 11, 12, 12], [6, 6, 6, 6, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[3, 13, 13, 13, 13, 13, 13, 13, 13], [7, 7, 12, 12, 13], [6, 6, 6, 6, 8, 8, 9, 9, 10, 10, 11]]
[[3, 8, 8, 10, 10], [6, 6, 6, 6, 7, 7, 11], [9, 9, 12, 12, 13, 13, 13], [13, 13, 13, 13, 13, 13]]
[[3, 13, 13, 13, 13], [13, 13, 13, 13, 13], [10, 10, 11, 12, 12], [6, 6, 6, 6, 7, 7], [8, 8, 9, 9]]
[[3, 13, 13, 13, 13], [6, 6, 6, 6, 11, 13], [8, 8, 12, 12], [7, 7, 9, 9, 10, 10], [], [13, 13, 13, 13]]
[[3, 13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 10, 10], [12], [9, 9], [7, 7, 8, 11, 12], [8, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6], [13, 13, 13], [3, 7, 7, 8, 8], [13, 13, 13], [12, 12], [9, 9], [10, 10, 11]]
[[3, 8, 13, 13], [13, 13], [10, 10, 13], [11, 13, 13], [7, 7, 9, 9], [12, 12], [], [6, 6, 6, 6, 8], [13, 13]]
[[3, 10, 10], [13, 13], [12, 12], [9, 9, 13], [13, 13], [8, 8, 11], [], [6, 6, 6, 7, 7], [13, 13], [6, 13, 13]]
[[3, 13, 13], [13, 13], [9, 9, 12], [11, 12], [8, 8, 13], [], [6, 6, 6, 6], [10, 10], [7, 7], [13, 13], [13, 13]]
[[3, 13], [13, 13], [6, 6, 11], [12, 12], [13, 13], [10, 10], [9, 9], [], [6, 6, 8, 8], [7, 7], [13, 13], [13, 13]]
[[3, 8, 13], [6, 6], [12, 13], [9, 13], [10, 13], [11], [9, 12], [13], [6, 6, 13], [7, 7], [13], [10, 13], [8, 13]]
[[3, 13], [13], [13], [9, 13], [13], [13], [6, 6, 6, 6], [13], [12, 12], [9, 13], [7, 7], [8, 8], [11, 13], [10, 10]]
[[3, 8, 11], [6, 13], [9, 13], [12], [13], [7, 7], [13], [12], [9, 13], [13], [6, 6, 6], [13], [10, 10], [13], [8, 13]]
[[6, 13], [13], [13], [10, 10], [13], [6, 6, 6], [12], [13], [13], [13], [13], [7, 13], [11], [8, 8], [7, 12], [3, 9, 9]]
[[3, 13], [13], [13], [13], [13], [9, 9], [13], [12], [8, 8], [13], [10, 10], [7, 7], [6, 6, 6], [11], [13], [13], [6, 12]]
[[3, 13], [9, 9], [13], [13], [10], [13], [13], [12], [6, 6, 6], [13], [13], [7, 7], [8, 8], [12], [6, 11], [13], [13], [10]]
[[3, 13], [13], [13], [13], [13], [9], [6, 6], [10], [13], [13], [11], [13], [12], [7, 10], [8, 8], [12], [6, 6], [7, 9], [13]]
[[3, 6, 6], [13], [12], [13], [13], [13], [13], [10], [9], [11], [9], [13], [13], [12], [10], [7, 7], [8, 8], [6, 6], [13], [13]]
[[3, 6, 6], [13], [13], [13], [13], [13], [13], [7, 7], [13], [12], [8, 8], [], [12], [9], [9], [6, 6], [11], [13], [10], [10], [13]]
[[3, 13], [10], [], [13], [13], [10], [13], [11], [12], [7, 7], [6, 6], [13], [13], [], [9], [8, 8], [6, 6], [13], [12], [9], [13], [13]]
[[3, 9], [13], [13], [13], [13], [11], [13], [12], [6, 6], [10], [13], [], [7, 7], [10], [], [9], [8], [8], [12], [13], [6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [13], [], [10], [9], [10], [6, 6], [12], [9], [11], [], [7, 7], [8], [], [12], [6, 6], [13], [3, 8], [13], [13]]
[[13], [13], [13], [13], [6, 6], [13], [13], [13], [12], [], [10], [9], [], [8], [7], [], [11], [7], [12], [8], [10], [13], [6, 6], [3, 9], [13]]
-EndAllocation

Instance: [[1], [246], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [164, 109, 82, 66, 54, 48, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [123, 82, 62, 50, 41, 36, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[6, 8, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 6, 7, 7, 9, 9, 11, 11, 12, 12]]
[[8, 8, 9, 9], [6, 6, 10, 10, 12, 12, 13, 13, 13, 13], [3, 7, 7, 11, 11, 13, 13, 13, 13, 13]]
[[3, 7, 7, 8, 8], [9, 9, 10, 10, 11, 11], [6, 6, 12, 12, 13, 13, 13], [13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13, 13], [6, 6, 13, 13, 13, 13], [3, 10, 10, 11, 11], [8, 8, 9, 9, 12, 12], [7, 7]]
[[13, 13, 13, 13], [3, 10, 10, 11, 11], [9, 9], [6, 6, 7, 7, 8, 8], [12, 12, 13], [13, 13, 13, 13]]
[[3, 13, 13, 13], [13, 13, 13], [9, 9, 12, 12], [6, 6], [8, 8, 11, 11], [7, 7, 10, 10], [13, 13, 13]]
[[13, 13, 13], [3, 6, 6, 11, 11], [13, 13, 13], [8, 8, 9, 9], [7, 7], [10, 10], [12, 12], [13, 13, 13]]
[[3, 8, 13, 13], [10, 13, 13], [10, 13, 13], [11, 11, 13], [7, 7, 9, 9], [6, 6], [], [8, 12, 12], [13, 13]]
[[3, 11, 13], [13, 13], [10, 10], [9, 9, 11], [6, 13, 13], [7, 7, 8, 8], [], [12, 12], [13, 13], [6, 13, 13]]
[[3, 6, 6, 13], [10, 10], [9, 9, 12], [11, 11], [7, 7], [13, 13], [], [13, 13], [8, 8, 12], [13, 13], [13, 13]]
[[13, 13], [3, 9, 9], [12, 12], [13, 13], [13], [11, 11], [10, 10], [], [6, 6, 8, 8], [7, 7], [13, 13], [13, 13]]
[[3, 13], [13], [13], [9, 13], [7, 13], [11, 11], [6, 6, 13], [10, 10], [9, 13], [8, 8], [12, 12], [13], [7, 13]]
[[3, 12], [13], [13], [10, 13], [13], [8, 13], [7, 7], [13], [11, 11], [9, 9], [6, 6, 12], [13], [8, 13], [10, 13]]
[[3, 13], [6, 13], [9, 13], [13], [13], [7, 7], [13], [12], [9, 13], [13], [6, 8, 8], [12], [10, 10], [13], [11, 11]]
[[3, 13], [6, 13], [10, 11], [13], [13], [6, 13], [13], [13], [9, 9], [12], [10, 11], [7, 7], [13], [8, 8], [12], [13]]
[[3, 7, 7], [10, 10], [13], [13], [8, 12], [13], [13], [13], [9, 9], [12], [11], [13], [6, 6], [13], [13], [8, 11], [13]]
[[3, 12], [7, 11], [13], [13], [7, 10], [13], [8, 8], [12], [6, 6], [13], [13], [13], [9, 9], [11], [10], [13], [13], [13]]
[[3, 10], [13], [12], [13], [13], [13], [7, 7], [11], [10], [13], [11], [8, 9], [12], [13], [8, 9], [13], [6, 6], [13], [13]]
[[3, 11], [13], [13], [13], [13], [7, 7], [6, 11], [9], [13], [12], [], [10], [13], [13], [10], [13], [12], [8, 8], [13], [6, 9]]
[[3, 6, 6], [13], [13], [13], [13], [13], [13], [7, 7], [13], [12], [10], [], [12], [13], [9], [11], [11], [9], [10], [13], [8, 8]]
[[3, 13], [13], [13], [13], [13], [10], [13], [11], [12], [6, 6], [8, 8], [13], [], [], [13], [12], [7, 7], [9], [9], [11], [13], [10]]
[[3, 8], [13], [13], [13], [13], [12], [10], [9], [7, 7], [11], [10], [], [8], [9], [], [6, 6], [13], [11], [13], [13], [12], [13], [13]]
[[13], [13], [13], [13], [13], [3, 9], [], [8], [7, 7], [12], [13], [11], [13], [10], [], [11], [9], [], [10], [6, 6], [12], [8], [13], [13]]
[[13], [13], [13], [13], [13], [13], [11], [3], [12], [], [10], [8], [], [7], [9], [9], [11], [8], [12], [10], [7], [13], [6, 6], [13], [13]]
-EndAllocation

Instance: [[1], [245], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 7, 7, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [164, 109, 82, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [123, 82, 62, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 7, 7, 10, 10, 11, 11, 12, 12], [6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 6, 6, 7, 7, 12, 12, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13], [9, 9, 10, 10, 11, 11]]
[[10, 10], [5, 6, 6, 9, 9, 11, 11, 12, 12], [7, 7, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [5, 10, 10, 11, 11], [6, 6, 7, 7, 12, 12], [9, 9]]
[[7, 7, 13, 13, 13], [6, 6, 9, 9, 12, 12], [13, 13, 13, 13], [10, 10], [11, 11], [5, 13, 13, 13]]
[[12, 13, 13], [13, 13, 13], [5, 11, 11, 12], [10], [6, 6, 13, 13], [7, 7, 9, 9, 10], [13, 13, 13]]
[[13, 13, 13], [6, 6, 13], [5, 13, 13], [9, 9], [7, 7, 13], [10, 10, 11], [11, 12, 12], [13, 13, 13]]
[[5, 13, 13], [6, 6, 13], [10, 10, 13], [9], [7, 7, 9, 11], [12, 12], [13, 13], [13, 13], [11, 13, 13]]
[[5, 13, 13], [], [11, 11], [9, 12, 12], [13, 13], [13, 13], [10, 10], [7, 7, 9], [6, 13, 13], [6, 13, 13]]
[[5, 10, 10], [13, 13], [9, 12], [11, 12], [7, 7, 9], [13, 13], [], [11, 13], [6, 6, 13], [13, 13], [13, 13]]
[[13, 13], [12, 13], [7, 7, 12], [13, 13], [11, 11], [10, 10], [9, 9], [], [5], [6, 6, 13], [13, 13], [13, 13]]
[[5, 13], [12, 13], [13], [9, 13], [10, 10], [13], [13], [7, 7, 11], [9, 13], [6, 6, 12], [13], [11, 13], [13]]
[[10, 13], [9, 13], [5, 13], [9, 13], [13], [7, 7], [13], [13], [11, 11], [13], [13], [6, 6], [12, 12], [10, 13]]
[[5, 13], [6, 13], [7, 13], [13], [13], [13], [12], [12], [9, 9], [13], [7, 13], [13], [10, 10], [11, 11], [6, 13]]
[[7, 11], [5, 11], [13], [13], [13], [10, 10], [12], [13], [9, 9], [13], [13], [7, 13], [13], [6, 13], [6, 13], [12]]
[[5, 7, 7], [13], [13], [13], [13], [9, 9], [13], [6, 11], [13], [13], [11], [13], [12], [13], [13], [10, 10], [6, 12]]
[[7, 10], [13], [13], [10], [13], [13], [11], [13], [6, 6], [13], [9, 9], [7, 11], [13], [13], [12], [12], [13], [5, 13]]
[[13], [5, 12], [13], [13], [13], [13], [7, 7], [11], [10], [13], [11], [13], [13], [12], [10], [6, 9], [6, 9], [13], [13]]
[[5, 9], [13], [13], [13], [13], [13], [13], [10], [11], [11], [13], [13], [13], [12], [10], [7, 7], [12], [6, 6], [13], [9]]
[[13], [5], [13], [13], [13], [13], [13], [7, 7], [13], [13], [10], [11], [12], [11], [10], [6, 6], [9], [13], [12], [13], [9]]
[[12], [13], [13], [5], [13], [10], [13], [11], [13], [7, 7], [13], [13], [13], [], [9], [11], [6, 6], [13], [9], [12], [10], [13]]
[[5], [13], [13], [13], [13], [11], [13], [13], [13], [10], [], [], [7, 7], [10], [12], [6, 6], [9], [13], [9], [11], [12], [13], [13]]
[[13], [5], [13], [13], [13], [13], [10], [13], [9], [10], [13], [12], [9], [13], [], [7, 7], [], [], [12], [6, 6], [11], [11], [13], [13]]
[[13], [13], [13], [13], [13], [], [], [], [7], [11], [10], [9], [7], [10], [9], [13], [11], [12], [12], [13], [5], [13], [6, 6], [13], [13]]
-EndAllocation

Instance: [[1], [244], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [162, 109, 81, 65, 54, 46, 41, 37, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [122, 82, 61, 49, 41, 35, 31, 28, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 13, 13, 13, 13], [6, 12, 13, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12], [13, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 6], [12, 12, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13, 13], [6, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13, 13]]
[[], [12, 12, 13], [5, 13, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 6], [13, 13, 13]]
[[], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [6, 13, 13], [13, 13, 13], [5, 13, 13], [12, 12], [13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5], [12, 12, 13], [13, 13], [13, 13], [6, 13, 13], [13, 13], [13, 13], [5, 5, 13, 13]]
[[], [13, 13], [13, 13], [6, 13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 13], [13, 13], [12, 12]]
[[], [6, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 13], [13, 13], [13, 13], [13, 13], [12, 12], [13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [6, 13], [13, 13], [13, 13], [12, 12], [5, 5, 5, 5], [], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [5, 5, 13], [13], [12, 13], [13], [12, 13], [13], [5, 6, 13], [5, 5, 13], [5, 5, 13], [13], [13]]
[[13], [5, 5, 13], [13], [13], [13], [13], [12, 12], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [13], [5, 6, 13], [13]]
[[13], [6, 13], [5, 13], [5, 5, 12], [5, 5, 12], [13], [5, 13], [13], [13], [5, 13], [13], [13], [13], [5, 13], [5, 13]]
[[13], [12], [6, 13], [5, 13], [13], [13], [13], [13], [13], [5, 13], [13], [5, 5, 5, 5], [5, 12], [13], [5, 13], [5, 13]]
[[13], [5, 5, 5, 5], [13], [5, 5, 5, 5], [12], [13], [13], [5, 12], [13], [13], [13], [6, 13], [13], [13], [13], [13], [13]]
[[13], [5, 12], [5, 13], [13], [13], [13], [13], [13], [6], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [13], [5, 12]]
[[13], [5, 5, 5], [13], [13], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [12], [12], [6], [13], [13], [13], [5, 5, 5]]
[[13], [13], [13], [13], [5, 5, 5], [], [13], [13], [13], [6], [5, 5, 5], [13], [5, 5], [13], [12], [5, 12], [13], [13], [13], [13]]
[[], [13], [5, 5, 6], [5, 5, 5], [5], [5, 5, 5], [13], [13], [13], [13], [13], [12], [13], [13], [13], [12], [13], [13], [], [13], [13]]
[[13], [13], [13], [5, 5, 5], [12], [13], [], [12], [13], [13], [13], [13], [13], [13], [], [13], [13], [], [5, 5, 5], [13], [6], [5, 5, 5]]
[[13], [5, 5], [13], [5, 5], [5, 5], [12], [13], [13], [5, 5], [13], [13], [13], [13], [12], [13], [13], [5], [], [6], [13], [13], [13], []]
[[12], [5, 5], [5, 5], [13], [12], [13], [], [], [5, 6], [13], [13], [5, 5], [], [], [13], [13], [13], [13], [13], [5, 5], [13], [13], [13], [13]]
[[], [13], [6], [5, 5], [], [], [13], [13], [13], [13], [13], [13], [], [13], [13], [5, 5], [13], [13], [13], [5], [12], [5, 5], [13], [5, 5], [12]]
-EndAllocation

Instance: [[1], [243], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [162, 108, 81, 65, 54, 46, 41, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [122, 81, 61, 49, 41, 35, 31, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13], [5, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[12, 12, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [13, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13, 13]]
[[], [12, 12, 13], [5, 13, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13]]
[[], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [13, 13, 13], [5, 5, 13], [12, 12], [13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5], [12, 12], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 13]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 13], [13, 13], [12, 12]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [12, 12], [13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [13], [13, 13], [13, 13], [12, 12], [5, 5, 5, 5, 5], [], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [5, 5, 13], [13], [12, 13], [13], [12, 13], [13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [13], [13]]
[[13], [5, 5, 13], [13], [13], [13], [13], [12, 12], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [13]]
[[13], [13], [5, 13], [5, 5, 12], [5, 5, 12], [13], [5, 13], [13], [13], [5, 13], [5, 13], [13], [13], [5, 13], [5, 13]]
[[13], [12], [5, 12], [5, 13], [13], [13], [13], [13], [13], [5, 13], [13], [5, 5, 5, 5], [5, 13], [13], [5, 13], [5, 13]]
[[13], [5, 5, 5, 5], [13], [5, 5, 5, 5], [12], [13], [13], [5, 12], [13], [13], [13], [13], [13], [5, 13], [13], [13], [13]]
[[13], [5, 12], [5, 5], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [13], [5, 12]]
[[13], [5, 5, 5], [13], [13], [13], [13], [13], [13], [], [13], [5, 5, 5], [13], [12], [5, 12], [13], [13], [13], [13], [5, 5, 5]]
[[13], [13], [13], [13], [5, 5, 5], [], [13], [13], [13], [13], [5, 5, 5], [13], [5, 5, 5], [13], [12], [5, 12], [13], [13], [], [13]]
[[], [13], [5, 5, 5], [5, 5, 5], [5], [5, 5, 5], [13], [13], [13], [13], [13], [12], [13], [13], [13], [12], [13], [13], [], [13], [13]]
[[13], [13], [13], [5, 5, 5], [12], [13], [], [12], [13], [13], [13], [13], [13], [13], [], [5], [13], [], [5, 5, 5], [13], [13], [5, 5, 5]]
[[13], [5, 5], [13], [5, 5], [5, 5], [12], [13], [13], [5, 5], [13], [13], [13], [13], [12], [13], [13], [5, 5], [], [13], [13], [13], [], []]
[[12], [5, 5], [5, 5], [13], [12], [13], [], [], [13], [13], [13], [5, 5], [], [], [13], [5, 5], [13], [13], [13], [5, 5], [13], [13], [13], [13]]
[[], [13], [13], [5, 5], [], [], [13], [13], [13], [13], [13], [13], [], [], [13], [5, 5], [13], [13], [13], [5, 5], [12], [5, 5], [13], [5, 5], [12]]
-EndAllocation

Instance: [[1], [242], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 8, 8, 8, 8, 8, 9, 10, 10, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[2, 3, 8, 8, 8, 8, 8, 12, 12, 12], [4, 5, 6, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[8, 8, 8, 8], [2, 4, 5, 10, 10, 12, 12, 12, 13, 13, 13], [3, 6, 8, 9, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [3, 12, 12, 12, 13], [2, 5, 10, 10, 13, 13, 13, 13], [4, 6, 8, 8, 8, 8, 8, 9, 13]]
[[13], [9, 13, 13, 13, 13], [3, 5, 6, 8, 12, 12, 12], [2, 8, 8, 8, 8, 10, 10], [4, 13, 13, 13, 13]]
[[], [8, 9, 10, 10, 13], [2, 3, 4, 5, 13, 13, 13], [13, 13, 13, 13], [6, 8, 8, 8, 8, 13], [12, 12, 12]]
[[], [12, 12, 13], [3, 10, 10, 12], [8, 8, 8, 8, 8], [5, 13, 13, 13], [2, 13, 13, 13], [4, 6, 9, 13, 13]]
[[], [4, 6, 8, 10, 10], [8, 8], [2, 12, 12, 12], [13, 13, 13], [13, 13, 13], [5, 8, 8, 13], [3, 9, 13, 13]]
[[], [8, 13, 13], [4, 6, 12, 12], [9, 12, 13], [13, 13], [5, 13, 13], [10, 10], [8, 8, 8, 8], [2, 3, 13, 13]]
[[], [8, 10, 10], [13, 13], [5, 12, 13], [4, 13, 13], [8, 8, 8, 9], [6, 13, 13], [3, 12, 12], [2, 13, 13], [8]]
[[], [5, 13], [13, 13], [9, 10, 10], [12, 12], [2, 4, 8, 8], [12, 13], [6, 13], [3, 13, 13], [13, 13], [8, 8, 8]]
[[], [4, 9, 12], [8, 8, 8], [13, 13], [13, 13], [12, 12], [8, 10, 10], [3, 13], [5, 6, 13], [13, 13], [2], [8, 13]]
[[13], [13], [5, 10, 10], [8, 8, 8], [12, 13], [3, 6, 13], [8, 8, 9], [13], [12, 12], [13], [13], [13], [2, 4, 13]]
[[13], [6, 13], [13], [13], [13], [5, 13], [2, 10, 10], [8, 8, 8], [3, 8, 8], [12, 12], [4, 12], [13], [13], [9, 13]]
[[13], [12], [2, 3, 5, 6], [13], [4, 12], [12], [8, 13], [13], [13], [10, 10], [9, 13], [8, 13], [13], [8, 8], [8, 13]]
[[13], [2, 13], [13], [10, 10], [12], [13], [6, 13], [8, 13], [8, 8], [9], [5, 12], [3, 13], [12], [13], [13], [4, 8, 8]]
[[12], [8, 8], [6, 8], [10, 10], [5, 13], [12], [3, 13], [13], [13], [13], [2, 13], [13], [8, 8], [13], [4, 13], [9], [12]]
[[13], [8], [13], [9], [13], [13], [8, 8], [13], [10], [12], [3, 13], [5, 13], [13], [6, 10], [2, 4, 12], [8, 8], [13], [12]]
[[13], [8, 8], [13], [8, 8], [13], [13], [13], [5], [12], [2, 3, 12], [4, 9], [13], [13], [10], [13], [13], [12], [6, 8], [10]]
[[13], [6, 8], [13], [12], [9], [12], [13], [13], [4, 13], [13], [10], [8, 8], [10], [], [13], [3, 13], [8, 8], [12], [2, 13], [5]]
[[10], [12], [13], [13], [3, 10], [13], [9], [8, 8], [13], [13], [13], [2, 12], [13], [13], [8, 8], [12], [13], [4], [6], [8], [5]]
[[13], [5], [8], [13], [6, 8], [4], [12], [2, 12], [13], [9], [13], [3, 10], [13], [12], [13], [13], [10], [8], [13], [13], [8], [8]]
[[13], [8], [13], [13], [8], [10], [13], [9], [13], [13], [2, 12], [8], [10], [12], [8], [6], [13], [5], [8], [13], [3, 4], [12], [13]]
[[13], [13], [10], [4], [6], [2, 12], [13], [8], [5], [13], [13], [9], [8], [13], [3], [10], [8], [13], [12], [13], [8], [12], [13], [8]]
[[12], [12], [13], [13], [13], [12], [10], [13], [3, 8], [13], [], [6], [13], [13], [5, 8], [8], [13], [2], [9], [8], [4], [10], [], [13], [8]]
-EndAllocation

Instance: [[1], [241], 25]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,25. UB Alg: [161, 108, 81, 65, 54, 46, 41, 36, 33, 29, 28, 25, 24, 22, 21, 20, 18, 17, 17, 16, 14, 14, 14, 13], Opt: [121, 81, 61, 49, 41, 35, 31, 27, 25, 22, 21, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,25:
-StartAllocation
[[3, 6, 6, 6, 6, 10, 10, 11, 11, 12], [7, 7, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[3, 7, 7, 8, 8, 10, 10, 13, 13, 13, 13], [6, 6, 6, 6, 13, 13, 13, 13, 13, 13], [11, 11, 12]]
[[3, 7, 7, 10, 10], [13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 8, 8, 12], [11, 11, 13, 13, 13, 13]]
[[13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 7, 7, 11, 11], [12], [3, 8, 8, 10, 10]]
[[3, 13, 13, 13], [7, 7, 11, 11, 12], [6, 6, 6, 6, 8, 8], [10, 10], [13, 13, 13], [13, 13, 13, 13]]
[[3, 13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 10, 10], [11, 11], [7, 7, 8, 8], [12, 13], [13, 13, 13]]
[[3, 13, 13], [6, 6, 6, 6, 12], [13, 13, 13], [8, 8], [11, 11], [7, 7, 10, 10], [13, 13], [13, 13, 13]]
[[3, 13, 13], [12, 13], [13, 13], [10, 10, 13], [7, 7, 11, 11], [8, 8], [13, 13], [6, 6, 6, 6], [13, 13]]
[[3, 13, 13], [13, 13], [10, 10], [6, 6, 6, 6], [13, 13], [8, 8], [12, 13], [7, 7, 13], [11, 11], [13, 13]]
[[3, 7, 7], [13, 13], [12], [11, 11], [8, 8], [13, 13], [13, 13], [10, 10], [6, 6, 6, 6], [13, 13], [13, 13]]
[[3, 13], [13, 13], [], [11, 11], [13], [10, 10], [8, 8], [13, 13], [6, 6, 6, 6], [7, 7, 12], [13, 13], [13, 13]]
[[3, 13], [13], [13], [13], [7, 13], [11, 11], [6, 6, 6, 6], [10, 13], [13], [13], [12, 13], [10, 13], [7, 8, 8]]
[[3, 7, 12], [11, 13], [13], [13], [10, 10], [8, 8], [7, 13], [13], [11, 13], [13], [6, 6, 6, 6], [13], [13], [13]]
[[3, 6, 6, 6], [7, 13], [13], [13], [13], [11, 11], [8, 8], [13], [12], [13], [6, 13], [7, 13], [10, 10], [13], [13]]
[[3, 6, 6, 6], [10, 10], [13], [7, 13], [13], [8, 8], [11], [13], [7, 12], [13], [11], [13], [13], [13], [6, 13], [13]]
[[3, 13], [13], [13], [13], [13], [13], [11], [7, 7], [6, 12], [13], [11], [8, 8], [6, 6, 6], [13], [10, 10], [13], [13]]
[[3, 13], [13], [13], [10], [10], [13], [13], [11], [6, 6, 6], [12], [7, 7], [13], [8, 8], [13], [13], [13], [13], [6, 11]]
[[3, 10], [13], [13], [13], [13], [13], [7, 7], [12], [10], [13], [13], [13], [13], [11], [8, 8], [11], [6, 6], [13], [6, 6]]
[[3, 6, 6], [13], [13], [13], [13], [8, 8], [7], [10], [], [13], [13], [11], [11], [13], [7, 10], [13], [12], [6, 6], [13], [13]]
[[3, 13], [13], [13], [13], [13], [], [], [7, 7], [6, 6], [10], [6, 6], [13], [10], [13], [8, 8], [11], [11], [13], [12], [13], [13]]
[[13], [13], [13], [13], [13], [10], [13], [11], [12], [6, 6], [8], [13], [], [13], [13], [10], [7, 7], [11], [6, 8], [], [3, 6], [13]]
[[3, 10], [13], [6, 6], [13], [13], [11], [13], [13], [], [11], [10], [], [7, 7], [8], [13], [13], [13], [6, 6], [8], [13], [12], [], [13]]
[[3], [13], [13], [13], [13], [13], [10], [12], [8], [7, 7], [13], [6, 6], [13], [10], [], [8], [], [], [11], [6, 6], [13], [11], [13], [13]]
[[13], [13], [13], [13], [13], [13], [11], [6, 6], [7], [], [10], [8], [], [7], [], [13], [13], [13], [11], [8], [10], [12], [6, 6], [13], [3]]
-EndAllocation

Instance: [[1], [260], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [173, 116, 86, 69, 58, 50, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [130, 87, 65, 52, 44, 38, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[7, 7, 7, 9, 9, 9, 10, 10, 11, 12], [6, 6, 6, 6, 8, 8, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 7, 7, 7, 9, 11], [8, 8, 10, 10, 12, 12, 13, 13], [9, 9, 13, 13, 13, 13, 13, 13, 13]]
[[7, 7, 7, 9, 9, 9, 10, 12, 12], [11, 13, 13, 13, 13, 13], [8, 8, 10], [6, 6, 6, 6, 13, 13, 13, 13]]
[[13, 13, 13, 13, 13], [11, 12, 12, 13], [8, 8, 10, 10], [6, 6, 6, 6, 9, 9, 9], [7, 7, 7, 13, 13, 13]]
[[12, 12, 13, 13], [8, 8, 13, 13, 13], [6, 6, 6, 6, 10, 13], [11], [7, 7, 7, 9, 9, 9], [10, 13, 13, 13]]
[[11, 13, 13, 13], [10, 13, 13, 13], [12, 12], [6, 6, 6, 6], [7, 7, 7], [8, 8, 9, 9, 9], [10, 13, 13, 13]]
[[13, 13, 13], [7, 9, 9, 9], [7, 7, 12, 12], [13, 13, 13], [6, 6, 6, 6, 8, 8], [10, 10, 11], [], [13, 13, 13]]
[[9, 9, 13], [8, 13, 13], [10, 13, 13], [12, 12, 13], [13], [10], [7, 7, 7, 9], [6, 6, 6, 6, 8], [11, 13, 13]]
[[13, 13], [8, 11, 13], [6, 6, 9, 9], [10, 10], [13, 13], [9], [6, 6, 7, 7, 7], [12, 12], [13, 13], [8, 13, 13]]
[[6, 6, 6, 13], [10, 10, 12], [12, 13], [13, 13], [9, 9, 9], [], [6, 7, 7, 7], [11, 13], [8, 8], [13, 13], [13, 13]]
[[12, 12], [13, 13], [13], [13], [8, 8, 11], [10, 10], [6, 6, 6, 6], [13], [7, 7, 7], [9, 9, 9], [13, 13], [13, 13]]
[[11, 13], [13], [10, 10], [13], [8, 8], [12, 12], [6, 6, 6, 6], [7, 7, 7], [9, 9], [13, 13], [9], [13, 13], [13, 13]]
[[12, 13], [11, 13], [9, 9], [9, 13], [13], [7, 7, 7], [6, 6, 6, 6], [12, 13], [10, 10], [8, 8], [13], [13], [13], [13]]
[[8, 13], [6, 13], [9, 13], [13], [13], [7, 7, 7], [12, 12], [13], [9, 9], [13], [6, 6, 8], [6], [10, 10], [11, 13], [13]]
[[7, 13], [13], [13], [13], [13], [9, 13], [6, 12], [12], [6, 6, 6], [7, 11], [10, 10], [8, 8], [13], [9, 9], [13], [7, 13]]
[[6, 6, 6], [13], [7, 13], [9, 9], [7, 7], [10, 10], [8, 13], [6], [8, 12], [13], [12], [9, 11], [13], [13], [13], [13], [13]]
[[8, 12], [6, 13], [7, 7], [13], [7, 12], [13], [13], [13], [6, 6, 6], [10, 10], [9, 9], [8, 9], [13], [], [11], [13], [13], [13]]
[[7, 7], [6, 12], [13], [13], [7, 9], [13], [8, 8], [12], [11], [10], [13], [9, 9], [13], [13], [10], [13], [6, 6, 6], [13], [13]]
[[6, 9], [13], [13], [13], [9], [8, 8], [7, 7], [13], [13], [13], [9], [10], [6, 11], [12], [7, 10], [13], [12], [6, 6], [13], [13]]
[[13], [13], [13], [13], [8, 9], [10], [12], [7, 8], [6, 6], [7, 7], [9], [13], [10], [13], [11], [6, 6], [12], [9], [13], [13], [13]]
[[13], [6, 6], [7, 9], [13], [13], [12], [9], [13], [6, 6], [12], [11], [10], [8, 8], [13], [], [9], [13], [13], [7, 7], [10], [13], [13]]
[[10], [13], [13], [13], [13], [13], [7, 9], [13], [9], [13], [11], [12], [], [12], [10], [6, 6], [8, 8], [6, 6], [9], [], [7, 7], [13], [13]]
[[10], [13], [13], [6, 6], [13], [7, 7], [9], [13], [10], [9], [6, 7], [8], [8], [12], [11], [6], [9], [], [12], [13], [13], [13], [13], [13]]
[[13], [13], [9], [13], [7, 7], [6], [11], [6, 6], [13], [13], [6], [9], [13], [13], [9], [10], [], [12], [12], [8], [10], [7], [8], [13], [13]]
[[6, 6], [8], [13], [13], [13], [13], [13], [6, 6], [9], [13], [], [9], [7], [10], [13], [9], [12], [12], [13], [10], [7], [11], [], [8], [7], [13]]
-EndAllocation

Instance: [[1], [259], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [173, 116, 86, 69, 58, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [130, 87, 65, 52, 44, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 12, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13]]
[[12], [13, 13, 13, 13, 13, 13], [9, 11, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13]]
[[13], [9, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [11, 13, 13, 13, 13], [12, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [9, 11, 13, 13], [5, 13, 13, 13, 13], [5, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 12]]
[[13], [9, 12, 13, 13], [13, 13, 13], [13, 13, 13], [11, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [13, 13, 13], [13, 13, 13], [12, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [13, 13, 13], [5, 9, 11, 13]]
[[13, 13], [13, 13], [13, 13], [5, 13, 13], [13, 13], [5, 5, 5, 9, 12], [5, 5, 5, 5, 5, 11], [13, 13], [13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [9, 11, 12], [5, 5, 5, 13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13], [12, 13], [5, 13, 13], [5, 5, 5, 5, 5, 5], [11, 13], [13, 13], [5, 5, 9, 13], [13, 13]]
[[], [13, 13], [13, 13], [13], [11], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [5, 9, 12], [5, 5, 5, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [], [9, 13], [12], [11, 13], [5, 5, 5, 5], [13, 13]]
[[13], [5, 13], [11, 13], [5, 5, 13], [5, 5, 13], [13], [13], [9, 13], [13], [12, 13], [5, 5, 13], [13], [5, 5, 13], [13]]
[[13], [13], [11, 13], [5, 5, 13], [5, 5, 13], [9, 13], [12], [5, 5, 13], [13], [13], [13], [5, 5, 13], [13], [13], [5, 13]]
[[13], [13], [5, 13], [5, 13], [9, 13], [12], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 5, 11], [5, 13], [13], [13], [13]]
[[13], [9, 12], [13], [13], [5, 13], [11], [13], [13], [5, 13], [13], [5, 13], [13], [5, 13], [5, 13], [13], [5, 5, 5, 5], [13]]
[[13], [13], [5, 5, 9], [13], [5, 12], [13], [13], [13], [5, 13], [13], [13], [13], [5, 13], [13], [5, 5, 5, 5], [13], [13], [11]]
[[13], [13], [5, 13], [9], [5, 5, 5], [5, 5, 5], [5, 13], [13], [13], [11], [13], [13], [13], [13], [12], [13], [13], [13], [5, 13]]
[[13], [5, 5, 5], [12], [13], [13], [13], [11], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [9]]
[[13], [13], [13], [5, 5, 5], [13], [], [11], [13], [13], [12], [13], [13], [13], [13], [13], [13], [5, 9], [5, 5, 5], [13], [5, 5], [13]]
[[13], [13], [13], [13], [5, 5], [13], [5, 5, 5], [13], [], [5, 9], [5, 5, 5], [], [13], [13], [13], [12], [13], [13], [13], [11], [13], [13]]
[[13], [13], [13], [11], [13], [12], [13], [], [13], [13], [13], [], [13], [5, 5, 5], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [9], [], [13]]
[[13], [13], [13], [], [13], [], [5], [13], [5, 5], [13], [13], [13], [13], [5, 5], [5, 5], [5, 5], [13], [13], [13], [9], [13], [13], [12], [11]]
[[13], [13], [13], [13], [13], [5], [13], [13], [5, 5], [12], [13], [], [5, 5], [9], [13], [13], [13], [11], [5, 5], [], [], [5, 5], [13], [13], [13]]
[[13], [11], [13], [13], [13], [5, 5], [13], [5, 5], [5, 5], [13], [5], [13], [], [13], [13], [13], [13], [13], [9], [13], [], [13], [12], [], [5, 5], []]
-EndAllocation

Instance: [[1], [258], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 4, 6, 6, 6, 6, 7, 8, 8, 9, 9, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[4, 6, 6, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13], [1, 7, 8, 8, 11, 11, 12, 12, 12, 13]]
[[1, 4, 13, 13, 13, 13, 13, 13, 13, 13], [8, 8, 12, 12, 12, 13, 13], [6, 6, 6, 6, 7, 9, 9, 11, 11]]
[[1, 4, 13, 13, 13, 13, 13, 13], [8, 8, 9, 11, 11, 12, 12, 12], [7], [6, 6, 6, 6, 9, 13, 13, 13, 13]]
[[4, 13, 13, 13, 13, 13], [1, 6, 6, 6, 6, 7, 8, 8], [9, 9, 12, 12, 12], [11, 11], [13, 13, 13, 13, 13]]
[[1, 4, 13, 13, 13, 13], [8, 8, 12, 12, 12], [6, 6, 6, 6, 13, 13], [], [7, 9, 9, 11, 11], [13, 13, 13, 13]]
[[1, 4, 13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 7, 11], [11, 12, 12, 12], [], [8, 8, 9, 9, 13], [13, 13, 13]]
[[1, 4, 13, 13, 13], [9, 9], [8, 8, 13, 13], [13, 13, 13], [7, 11, 11], [12, 12, 12], [13, 13], [6, 6, 6, 6]]
[[1, 4, 8, 8, 13], [13, 13], [13, 13], [11, 11, 13], [13, 13], [12, 12, 12], [7, 9, 9], [6, 6, 6, 6], [13, 13]]
[[1, 4, 13, 13], [8, 8, 13], [9, 9, 13], [12], [13, 13], [12, 12], [6, 6, 6, 6], [11, 11], [7, 13, 13], [13, 13]]
[[1, 4, 13, 13], [13, 13], [7, 13], [11, 11], [9, 9], [13], [6, 6, 6, 6], [12, 12], [8, 8, 12], [13, 13], [13, 13]]
[[1, 13, 13], [13, 13], [13, 13], [4, 12], [8, 8, 11], [6, 6, 6, 6], [7, 13], [], [12, 12], [9, 9], [11, 13], [13, 13]]
[[1, 4, 13], [12, 12], [13, 13], [13], [6, 6, 6, 6], [], [8, 8], [9, 9], [13, 13], [7, 12], [11, 11], [13, 13], [13, 13]]
[[1, 4, 7, 13], [11, 13], [9, 13], [9, 13], [13], [6, 6, 6, 6], [], [13], [12, 13], [8, 8], [13], [12, 12], [11, 13], [13]]
[[1, 8, 13], [4, 13], [8, 13], [11, 13], [13], [13], [13], [12, 12], [9, 9], [13], [7, 13], [12], [], [11, 13], [6, 6, 6, 6]]
[[1, 4, 6, 6], [6, 13], [8, 13], [13], [13], [12], [11, 11], [13], [7, 13], [13], [6, 13], [13], [13], [9, 9], [12], [8, 12]]
[[1, 4, 12], [8, 13], [8, 13], [13], [13], [13], [6, 12], [13], [11], [9, 9], [13], [12], [13], [13], [6, 6, 6], [11], [7, 13]]
[[1, 8, 8], [6, 13], [13], [12], [7, 12], [13], [13], [13], [6, 6, 6], [13], [9, 9], [13], [11], [11], [13], [12], [13], [4, 13]]
[[1, 4, 12], [13], [13], [13], [13], [9, 9], [7], [11], [13], [6, 12], [13], [13], [11], [12], [8, 8], [13], [6, 6, 6], [13], [13]]
[[1, 6, 9], [4, 11], [13], [13], [13], [8, 8], [13], [12], [13], [13], [13], [13], [11], [12], [7], [13], [6, 6], [6, 9], [12], [13]]
[[1, 13], [13], [13], [13], [13], [13], [8, 8], [6, 6], [7], [12], [13], [4, 11], [11], [13], [9], [6, 6], [12], [9], [12], [13], [13]]
[[1, 13], [13], [4, 9], [13], [13], [11], [13], [13], [6, 6], [12], [11], [7], [8, 8], [], [12], [13], [9], [12], [6, 6], [13], [13], [13]]
[[1, 13], [13], [13], [13], [13], [13], [13], [4, 12], [9], [13], [11], [13], [], [12], [], [6, 6], [8, 8], [6, 6], [13], [7], [12], [11], [9]]
[[1, 12], [13], [13], [6, 6], [13], [4, 7], [12], [13], [12], [9], [], [9], [13], [13], [], [8], [8], [6, 6], [13], [11], [13], [11], [13], [13]]
[[1, 13], [13], [13], [13], [4, 7], [13], [], [6, 6], [8], [], [11], [9], [], [9], [8], [12], [13], [12], [12], [13], [6, 6], [11], [13], [13], [13]]
[[1, 4, 6], [13], [13], [13], [13], [8], [], [6, 6], [9], [11], [12], [9], [7], [13], [13], [], [12], [12], [13], [], [8], [11], [6], [13], [13], [13]]
-EndAllocation

Instance: [[1], [257], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [172, 114, 86, 69, 57, 49, 44, 38, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [129, 86, 65, 52, 43, 37, 33, 29, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 6, 6, 6, 7, 7, 9, 9, 10, 10, 11, 11, 12, 12]]
[[8, 8, 11, 11, 13, 13, 13], [3, 5, 7, 7, 10, 10, 12, 12], [6, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13]]
[[9, 9, 13, 13, 13, 13, 13], [7, 7, 10, 10, 11, 11, 12, 12], [3, 5], [6, 6, 6, 8, 8, 13, 13, 13, 13]]
[[6, 6, 13, 13, 13, 13], [8, 8, 11, 11, 12, 12], [9, 9, 10, 10], [3, 5, 6, 7, 7], [13, 13, 13, 13, 13]]
[[7, 7, 13, 13, 13], [8, 8, 12, 12], [10, 10, 13, 13], [3, 6, 6, 6], [9, 9, 11, 11], [5, 13, 13, 13, 13]]
[[13, 13, 13], [8, 13, 13, 13], [6, 6, 6, 7, 7, 11], [3, 5], [11, 12, 12], [8, 9, 9, 10, 10], [13, 13, 13]]
[[13, 13, 13], [3, 9, 9], [8, 8, 13, 13], [13, 13, 13], [10, 10, 12, 12], [], [7, 7, 11, 11], [5, 6, 6, 6, 13]]
[[8, 13, 13], [8, 13, 13], [13, 13], [11, 11, 13], [3], [5, 10, 10], [7, 7, 9, 9], [6, 6, 6, 12], [12, 13, 13]]
[[3, 13, 13], [5, 13, 13], [9, 9, 11], [12, 12], [11, 13], [], [6, 6, 6, 7, 7], [8, 10, 10], [13, 13], [8, 13, 13]]
[[13, 13], [13, 13], [5, 10, 13], [11, 13], [8, 8, 10], [], [6, 6, 9, 9], [6, 12, 12], [7, 7], [11, 13], [3, 13, 13]]
[[13, 13], [13, 13], [3, 6, 6, 10], [], [8, 8, 12], [6, 11, 11], [5, 10, 13], [], [7, 7, 12], [9, 9], [13, 13], [13, 13]]
[[8, 9, 9], [13, 13], [6, 10, 10], [], [11, 11], [], [3, 8, 13], [6, 6, 7, 7], [13, 13], [5], [12, 12], [13, 13], [13, 13]]
[[6, 7, 7], [11, 13], [8, 13], [9, 13], [9, 13], [6, 6, 13], [5], [11, 13], [12], [3, 8, 12], [13], [], [10, 13], [10, 13]]
[[9, 13], [7, 13], [13], [13], [13], [6, 13], [11, 11], [12, 12], [8, 8], [3, 13], [5, 6, 6, 7], [], [10, 10], [9, 13], [13]]
[[6, 13], [6, 12], [13], [12], [13], [8, 8], [11, 11], [10, 10], [7, 13], [5, 13], [], [7, 13], [13], [3, 9, 9], [6, 13], [13]]
[[8, 13], [13], [8, 13], [9, 11], [3, 13], [7, 13], [6, 6, 6], [13], [11], [7, 9], [5, 13], [12], [], [10, 10], [12], [13], [13]]
[[13], [6, 13], [13], [13], [12], [10], [8, 8], [13], [6, 7, 7], [12], [9, 9], [6, 10], [13], [13], [5, 11], [11], [13], [3, 13]]
[[11], [13], [11], [13], [13], [9, 9], [7, 7], [13], [10], [10], [13], [12], [13], [5, 12], [8, 8], [3, 13], [6, 6, 6], [13], [13]]
[[5, 6, 6], [13], [13], [13], [13], [11], [7, 9], [13], [13], [13], [8], [10], [11], [3, 12], [7, 10], [13], [12], [6, 9], [13], [8]]
[[6, 6], [3, 13], [13], [13], [13], [12], [13], [6, 8], [7, 7], [12], [13], [9], [11], [13], [10], [5], [11], [8, 9], [10], [13], [13]]
[[3, 12], [13], [13], [13], [7, 9], [11], [13], [13], [6, 6], [12], [11], [10], [8, 8], [], [10], [9], [13], [13], [5, 6], [7], [13], [13]]
[[13], [13], [13], [13], [13], [5, 11], [13], [], [6, 9], [13], [11], [], [10], [3, 12], [10], [7, 7], [8, 8], [6, 6], [9], [], [12], [13], [13]]
[[8], [13], [12], [6], [13], [7, 7], [12], [13], [10], [9], [13], [9], [13], [5], [11], [8], [10], [6, 6], [13], [11], [13], [3], [13], [13]]
[[3, 6], [13], [13], [13], [13], [], [11], [6, 6], [8], [], [11], [13], [10], [9], [8], [12], [13], [], [12], [13], [10], [7, 7], [5, 9], [13], [13]]
[[6, 7], [13], [13], [13], [13], [8], [10], [3, 6], [9], [13], [12], [13], [7], [10], [6], [5], [12], [11], [13], [9], [], [11], [], [8], [13], [13]]
-EndAllocation

Instance: [[1], [256], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [170, 114, 85, 69, 57, 49, 42, 38, 34, 32, 29, 26, 25, 24, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [128, 86, 64, 52, 43, 37, 32, 29, 26, 24, 22, 20, 19, 18, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12]]
[[], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [12, 12, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [12, 12, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[12], [13, 13, 13], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [12, 13, 13], [13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [5, 5, 13, 13], [13, 13], [13, 13, 13], [12, 12, 13], [13, 13, 13]]
[[13, 13], [12, 12, 13], [13, 13], [13, 13], [5, 5, 5, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5]]
[[], [5, 13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [5, 12, 12], [13, 13], [5, 13, 13], [5, 13, 13]]
[[], [13, 13], [13, 13], [12, 12], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [], [13, 13], [13, 13], [12, 12], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [12, 12], [13, 13], [13, 13], [], []]
[[13], [13], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [13], [12, 13], [13], [13], [12, 13], [13], [5, 5, 13], [5, 5, 13]]
[[13], [13], [13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [13], [12, 12], [13], [5, 5, 13]]
[[13], [5, 13], [13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 12], [5, 13], [13], [5, 12]]
[[13], [13], [5, 5, 5, 5], [12], [5, 13], [13], [13], [13], [5, 13], [5, 13], [13], [13], [13], [5, 12], [13], [5, 13], [5, 13]]
[[13], [13], [13], [13], [5, 5, 5, 5], [13], [5, 13], [12], [13], [12], [5, 5, 5, 5], [13], [5, 13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 13], [13], [13], [5, 5, 5], [12], [13], [13], [13], [5, 5, 5], [12], [13], [5, 5, 5], [13]]
[[12], [13], [13], [13], [12], [5, 5, 5], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5], [13], [13], [13], [5, 5, 5], [13]]
[[13], [12], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [5], [13], [13], [12], []]
[[12], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [13], [13], [13], [12], [13], [13], [13], [5, 5, 5], [13], [5], [13], [], []]
[[13], [], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [5], [12], [5, 5, 5], [13], [13], [], [], [12], [13], [13], [13], [5, 5, 5], [13]]
[[], [13], [13], [12], [5, 5], [13], [5, 5], [13], [13], [13], [13], [13], [13], [12], [5, 5], [5, 5], [13], [13], [], [5, 5], [13], [13], [], [13]]
[[], [], [13], [5, 5], [13], [13], [12], [5, 5], [13], [13], [5, 5], [13], [], [13], [], [13], [12], [5, 5], [13], [5, 5], [13], [13], [13], [13], [13]]
[[], [12], [13], [], [13], [13], [13], [13], [5, 5], [5, 5], [13], [13], [], [], [5, 5], [12], [13], [13], [5, 5], [13], [13], [13], [5, 5], [13], [13], []]
-EndAllocation

Instance: [[1], [255], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [170, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [128, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[3, 6, 10, 10, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13], [6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 12]]
[[3, 9, 9, 9, 10, 10, 12], [13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 7, 7, 7, 7, 8, 8, 11, 11, 11]]
[[3, 6, 6, 8, 8, 9, 9, 9, 10, 10], [13, 13, 13, 13, 13, 13], [11, 11, 11], [7, 7, 7, 7, 12, 13, 13]]
[[3, 9, 9, 9, 13, 13], [13, 13, 13, 13, 13], [7, 7, 7, 7, 10, 10, 12], [6, 6, 13], [8, 8, 11, 11, 11]]
[[3, 13, 13, 13, 13], [7, 7, 7, 7, 11, 11], [6, 6, 11, 12], [8, 8, 10, 10], [9, 9, 9], [13, 13, 13, 13]]
[[3, 13, 13, 13], [6, 6, 13, 13], [8, 8, 13, 13], [13], [9, 9, 9, 10, 10], [7, 7, 7, 7, 12], [11, 11, 11]]
[[3, 13, 13, 13], [8, 9, 9, 9], [], [6, 6, 13, 13], [10, 10, 12], [11, 11, 11], [7, 7, 7, 7, 8], [13, 13, 13]]
[[10, 13, 13], [13, 13], [10, 13, 13], [7, 7, 7, 7], [], [11, 11, 11], [9, 9, 9], [3, 6, 6, 8, 8], [12, 13, 13]]
[[3, 13, 13], [6, 6, 11, 11], [9, 9, 9], [10, 10, 12], [13, 13], [], [7, 7, 7, 7], [11], [8, 13, 13], [8, 13, 13]]
[[3, 13, 13], [8, 8], [9, 9, 9], [11, 11], [13, 13], [], [6, 6, 11], [10, 10, 12], [7, 7, 7, 7], [13, 13], [13, 13]]
[[3, 12], [13, 13], [13, 13], [], [6, 6, 8, 8], [10, 10], [11, 11], [11], [7, 7, 7, 7], [9, 9, 9], [13, 13], [13, 13]]
[[12, 13], [9], [3, 11, 11], [], [8, 8], [9, 9], [6, 6, 7], [7, 7, 7], [13, 13], [10, 10], [11, 13], [13, 13], [13, 13]]
[[3, 9, 9], [13], [13], [8, 8], [7, 13], [6, 6, 13], [9, 13], [13], [10, 10], [], [7, 7, 7], [11, 11], [12, 13], [11, 13]]
[[3, 8, 8], [9, 13], [7, 13], [13], [9, 13], [12], [], [11, 11], [9, 13], [6, 13], [7, 7, 7], [11], [10, 10], [13], [6, 13]]
[[7, 13], [13], [13], [13], [13], [13], [3, 13], [11], [8, 8], [10, 10], [13], [7, 7, 7], [9, 11], [9, 9], [6, 11], [6, 12]]
[[3, 13], [11], [13], [13], [11], [7, 12], [7, 7], [9, 9], [13], [13], [6, 6], [7, 13], [10, 10], [13], [13], [8, 11], [8, 9]]
[[3, 6, 11], [9], [7, 7], [13], [11], [13], [8, 8], [10, 10], [7, 7], [13], [9, 9], [11], [13], [13], [6, 13], [12], [13], [13]]
[[3, 12], [13], [13], [9], [13], [7, 11], [11], [9, 9], [8, 8], [13], [10], [11], [13], [13], [7, 10], [13], [7, 7], [6, 6], [13]]
[[3, 12], [13], [13], [13], [13], [11], [7, 7], [13], [11], [13], [9], [10], [11], [10], [8, 8], [7, 7], [6, 9], [6, 9], [13], [13]]
[[8, 9], [6, 11], [9], [13], [13], [10], [13], [7, 7], [13], [13], [10], [], [13], [9], [11], [7, 7], [13], [11], [12], [13], [3, 6, 8]]
[[3, 10], [13], [13], [13], [13], [11], [13], [13], [6, 6], [9], [11], [7, 7], [8, 8], [], [12], [9], [13], [9], [7, 7], [11], [13], [10]]
[[3, 9], [12], [13], [13], [13], [13], [7, 7], [11], [11], [13], [10], [], [10], [], [13], [6, 6], [8, 8], [11], [9], [13], [7, 7], [13], [9]]
[[3, 8], [13], [13], [13], [13], [7, 7], [13], [13], [10], [9], [7, 7], [8], [11], [], [11], [11], [9], [6, 6], [13], [10], [], [12], [13], [9]]
[[3, 10], [13], [13], [13], [7, 7], [13], [12], [6, 6], [13], [], [9], [8], [], [8], [9], [], [11], [9], [11], [13], [10], [7, 7], [11], [13], [13]]
[[13], [8], [13], [13], [13], [9], [7], [11], [10], [7], [9], [10], [], [11], [11], [], [13], [12], [9], [7], [7], [6, 6], [13], [3, 8], [13], [13]]
-EndAllocation

Instance: [[1], [254], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 6, 6, 6, 7, 7, 9, 9, 9, 10, 10, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 32, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 24, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[1, 6, 9, 9, 9, 10, 10, 10, 12, 12, 12], [6, 6, 7, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[1, 6, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 9, 13], [7, 7, 9, 9, 10, 10, 10, 11, 12, 12, 12]]
[[1, 6, 7, 7, 12, 12, 12, 13, 13], [13, 13, 13, 13, 13, 13], [11], [6, 6, 9, 9, 9, 10, 10, 10, 13]]
[[1, 6, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 12, 12, 12], [9, 9, 9, 10, 10, 10], [7, 7, 11]]
[[1, 13, 13, 13, 13], [12, 12, 12], [6, 7, 7, 11], [10, 10, 10, 13], [6, 6, 9, 9, 9], [13, 13, 13, 13]]
[[1, 6, 13, 13, 13], [10, 13, 13, 13], [6, 6, 11], [7], [7, 13, 13, 13], [12, 12, 12], [9, 9, 9, 10, 10]]
[[1, 6, 6, 13, 13], [9, 9, 9], [6], [13, 13, 13], [12, 12, 12], [10, 10, 10], [7, 7, 11, 13], [13, 13, 13]]
[[1, 6, 6, 6, 13], [13, 13], [13, 13], [11, 13, 13], [13], [10, 10, 10], [9, 9, 9], [12, 12, 12], [7, 7, 13]]
[[1, 6, 13, 13], [13], [9, 9, 9], [12, 13], [13, 13], [10, 10, 10], [6, 6, 7, 7], [12, 12], [11, 13], [13, 13]]
[[1, 6, 6, 7, 7], [13, 13], [10, 10, 11], [13, 13], [9, 9, 9], [10], [], [12, 12], [13, 13], [12, 13], [6, 13, 13]]
[[1, 6, 12], [13, 13], [13], [], [10, 10], [10, 12], [6, 6, 12], [13, 13], [7, 7, 11], [9, 9, 9], [13, 13], [13, 13]]
[[13, 13], [6, 6, 10], [12, 12], [1, 9], [11], [], [7, 7], [9, 9], [13, 13], [6, 10, 10], [12, 13], [13, 13], [13, 13]]
[[1, 10, 13], [9, 13], [9, 13], [12, 13], [13], [6, 6, 10], [], [11, 13], [12, 12], [9, 13], [13], [], [6, 7, 10], [7, 13]]
[[1, 6, 13], [13], [13], [13], [13], [9, 12], [9, 13], [13], [7, 13], [12], [6, 6, 10], [13], [10, 10], [9, 11], [7, 12]]
[[1, 6, 13], [12], [13], [13], [13], [7, 13], [10, 10], [10, 11], [13], [6, 6, 9], [13], [12], [12], [9, 9], [13], [7, 13]]
[[1, 6, 13], [13], [13], [12], [13], [6, 12], [9, 9], [12], [9, 10], [6, 13], [13], [13], [10, 10], [11], [7, 7], [13], [13]]
[[1, 6, 13], [7, 13], [13], [13], [9, 11], [13], [13], [6, 6], [7, 10], [10, 10], [9, 9], [12], [], [13], [12], [13], [13], [12]]
[[1, 6, 10], [13], [13], [13], [10], [13], [12], [9, 9], [13], [11], [10], [13], [13], [13], [7, 7], [13], [6, 12], [9], [6, 12]]
[[1, 6, 6], [13], [13], [13], [13], [13], [11], [9], [13], [9], [12], [12], [13], [12], [7, 10], [7, 10], [9], [6, 10], [13], [13]]
[[1, 6, 6], [13], [13], [13], [13], [11], [10], [10], [7, 7], [12], [13], [9], [12], [10], [9], [6, 9], [12], [13], [13], [13], [13]]
[[1, 10], [13], [13], [13], [13], [7, 9], [12], [13], [6, 6], [12], [9], [10], [12], [11], [], [13], [9], [13], [10], [13], [13], [6, 7]]
[[1, 13], [12], [13], [13], [13], [13], [9], [], [12], [12], [10], [], [13], [11], [10], [6, 6], [13], [9], [9], [6, 10], [7, 7], [13], [13]]
[[1, 13], [13], [13], [13], [13], [], [12], [13], [9], [10], [9], [12], [9], [10], [], [7, 7], [13], [6, 6], [13], [10], [11], [12], [13], [6]]
[[1, 13], [13], [13], [13], [], [], [], [7, 7], [13], [6, 6], [12], [6], [10], [9], [9], [10], [13], [12], [12], [13], [10], [11], [9], [13], [13]]
[[1, 10], [], [13], [13], [13], [13], [], [6, 6], [9], [13], [12], [9], [7], [13], [11], [], [13], [6], [9], [10], [12], [12], [13], [10], [13], [7]]
-EndAllocation

Instance: [[1], [253], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [169, 113, 85, 68, 57, 49, 42, 38, 34, 30, 29, 26, 25, 22, 21, 20, 20, 18, 17, 17, 16, 14, 14, 14, 13], Opt: [127, 85, 64, 51, 43, 37, 32, 29, 26, 23, 22, 20, 19, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13], [5, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13], [10, 11, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13], [10, 11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13]]
[[], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [10, 11, 13, 13, 13]]
[[], [13, 13, 13, 13], [11, 13, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [10, 13, 13, 13]]
[[13], [5, 10, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [11, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [10, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 11], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5]]
[[13], [11, 13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [10, 13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 13], [5, 5, 5, 5, 11], [5, 5, 5, 5, 10], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5], [13, 13], [11, 13], [13, 13], [13, 13], [10, 13], [5, 5, 5, 5, 5, 5], [13, 13]]
[[], [10], [5, 5, 5, 5, 5], [11, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [5, 5], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 10], [11], [13, 13], [5, 5, 5, 5, 5], [13, 13], []]
[[13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [5, 5, 13], [13], [13], [13], [10, 13], [11, 13], [5, 5, 13], [5, 5, 13]]
[[13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [10, 11], [5, 13], [5, 13], [13], [5, 13]]
[[13], [5, 13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13], [13], [13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [10, 11]]
[[13], [13], [5, 13], [10], [5, 13], [13], [5, 13], [13], [13], [13], [13], [5, 13], [13], [5, 11], [5, 5, 5, 5], [5, 13], [13]]
[[13], [5, 5, 5, 5], [13], [13], [5, 13], [11], [13], [13], [13], [13], [5, 10], [13], [13], [13], [13], [5, 5, 5, 5], [13], [13]]
[[13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [10], [5, 13], [11]]
[[13], [5, 5, 5], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [5], [13], [13], [13], [13], [10], [13], [13], [13], [11]]
[[13], [13], [], [5, 5, 5], [13], [13], [13], [13], [13], [5], [10], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [11], [13], [13], [13]]
[[13], [13], [5, 10], [13], [], [11], [13], [5, 5, 5], [13], [], [13], [13], [5, 5, 5], [13], [13], [13], [], [13], [13], [5, 5, 5], [13], [13]]
[[10], [13], [5, 5], [13], [13], [13], [13], [13], [5, 5], [13], [5, 5], [13], [5, 5], [], [], [13], [5, 5], [13], [13], [13], [13], [13], [11]]
[[13], [13], [5, 5], [], [11], [13], [13], [5, 5], [13], [5, 5], [13], [10], [13], [], [], [13], [13], [13], [13], [13], [5, 5], [13], [13], [5, 5]]
[[13], [13], [5, 5], [13], [11], [13], [], [5, 5], [], [13], [13], [13], [5, 5], [5, 5], [], [13], [13], [13], [5, 5], [13], [], [13], [13], [10], [13]]
[[13], [13], [], [13], [13], [], [], [13], [13], [11], [5, 5], [5, 5], [13], [5, 5], [13], [13], [], [10], [13], [], [5, 5], [13], [13], [5, 5], [13], [13]]
-EndAllocation

Instance: [[1], [252], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [11, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 11, 13, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [11, 13, 13, 13], [6, 6, 6, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13], [11, 13, 13]]
[[], [13, 13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [11, 13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [11, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [6, 6, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13], [11, 13], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6, 13], [13, 13], [13, 13], [13, 13], [6, 6, 11], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [], [13, 13], [11, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6]]
[[13], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 6, 6, 6], [6, 13], [11, 13], [13], [6, 13], [13]]
[[13], [13], [6, 13], [6, 13], [11], [6, 6, 6], [6, 13], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13]]
[[13], [6, 13], [6, 6, 6], [6, 13], [6, 6, 6], [11], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [13], [13], [13], [13]]
[[13], [13], [11], [13], [13], [6, 6], [6, 13], [6, 13], [13], [6, 6, 6], [13], [6, 13], [6, 13], [13], [6, 6, 6], [13], [13]]
[[13], [13], [6, 6, 6], [13], [11], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13]]
[[11], [], [6, 6, 6], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6, 6], [11], [6, 6], [6, 6], [13], [13], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13]]
[[13], [6, 6], [13], [11], [13], [], [13], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13]]
[[13], [11], [6, 6], [13], [13], [6, 6], [6, 6], [13], [13], [], [13], [6, 6], [13], [], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6]]
[[13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [], [6, 6], [6, 6], [13], [11], [6, 6], [13], [13], [13], [], [13], [], [13], [13]]
[[13], [13], [6, 6], [6, 6], [11], [], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13], [13], [], [13], [13], [6, 6], [6, 6], [], [], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [], [], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [], [6, 6], [11], [13], [13], [13], [13], [13], [], [13], []]
[[], [6, 6], [13], [6, 6], [6, 6], [6, 6], [], [13], [6, 6], [], [11], [13], [13], [13], [13], [], [13], [13], [13], [13], [13], [13], [13], [6, 6], [], []]
-EndAllocation

Instance: [[1], [251], 26]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,26. UB Alg: [168, 112, 84, 68, 56, 48, 42, 37, 34, 30, 28, 26, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [126, 84, 63, 51, 42, 36, 32, 28, 26, 23, 21, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,26:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [11, 12, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 11, 12, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [11, 13, 13], [6, 6, 6, 12, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 12, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 13, 13, 13], [11, 13, 13]]
[[], [13, 13, 13], [11, 13], [6, 6, 6, 6, 6], [13, 13, 13], [12, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [11, 12, 13], [13, 13], [13, 13], [13, 13]]
[[13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [11, 12], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [6, 6, 13], [13, 13], [13, 13], [13, 13], [12, 13], [13], [11, 13], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6], [12], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 11], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [], [13, 13], [11, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [12, 13], [6, 6, 6, 6]]
[[13], [6, 13], [6, 13], [13], [6, 13], [6, 6, 12], [6, 13], [13], [6, 6, 6, 6], [6, 13], [11, 13], [13], [6, 13], [13]]
[[13], [6, 13], [6, 11], [13], [13], [6, 6, 6], [6, 12], [13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [6, 13]]
[[13], [6, 12], [6, 6, 6], [6, 13], [6, 6, 6], [11], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [13], [13], [13], [13]]
[[13], [13], [6, 11], [13], [13], [6, 6, 6], [6, 13], [6, 13], [], [6, 6, 6], [13], [6, 13], [6, 13], [13], [6, 12], [13], [13]]
[[12], [13], [6, 6, 6], [13], [11], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13]]
[[11], [], [6, 12], [13], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [6, 6], [6, 6, 6], [13], [13], [13]]
[[13], [13], [6, 6], [11], [6, 6], [6, 6], [13], [13], [6, 6], [13], [12], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13]]
[[13], [6, 6], [13], [11], [13], [], [13], [6, 6], [12], [13], [6, 6], [6, 6], [13], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13]]
[[13], [11], [6, 6], [13], [13], [12], [6, 6], [13], [13], [], [13], [6, 6], [13], [6, 6], [], [13], [13], [13], [6, 6], [13], [13], [6, 6]]
[[12], [13], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [], [6, 6], [6, 6], [13], [11], [6, 6], [13], [13], [13], [], [13], [], [13], [13]]
[[13], [13], [6, 6], [6, 6], [11], [], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13], [13], [], [12], [13], [6, 6], [6, 6], [], [], [13], [13]]
[[13], [13], [13], [6, 6], [6, 6], [], [], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [], [6, 6], [11], [13], [13], [13], [13], [12], [], [13], []]
[[], [6, 6], [13], [6, 6], [6, 6], [6, 6], [], [13], [6, 6], [12], [11], [], [13], [13], [13], [], [13], [13], [13], [13], [13], [13], [13], [6, 6], [], []]
-EndAllocation

Instance: [[1], [270], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[3, 8, 8, 8, 9, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13], [6, 11, 11, 12, 12, 12, 12, 12, 13]]
[[3, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 8, 8, 8, 10, 10], [9, 9, 11, 11, 12, 12, 12, 12, 12]]
[[3, 12, 12, 12, 12, 12], [6, 10, 10, 11, 11], [13, 13, 13, 13, 13, 13], [8, 8, 8, 9, 9, 13, 13, 13]]
[[3, 13, 13, 13, 13, 13], [13, 13, 13, 13], [9, 12, 12, 12, 12, 12], [6, 11, 11], [8, 8, 8, 9, 10, 10]]
[[3, 10, 10, 11, 11, 13], [6], [13, 13, 13, 13], [8, 8, 8, 9, 9], [12, 12, 12, 12, 12], [13, 13, 13, 13]]
[[13, 13, 13, 13], [13, 13, 13, 13], [8, 8, 8, 13], [3, 11, 11], [9, 9], [6, 10, 10, 12], [12, 12, 12, 12]]
[[3, 13, 13, 13], [11, 11], [12, 12, 12], [13, 13, 13], [9, 9, 10, 10], [8, 8, 8], [6, 12, 12], [13, 13, 13]]
[[13, 13, 13], [13, 13, 13], [12, 12, 12], [6], [], [9, 9, 10, 10], [13, 13, 13], [8, 8, 8, 12], [3, 11, 11, 12]]
[[3, 13, 13], [9, 9, 12], [8, 8, 8, 12], [13, 13], [11, 11], [10, 10], [13, 13], [12, 12, 12], [13, 13], [6, 13]]
[[3, 11, 11], [13, 13], [6, 9, 9], [13, 13], [8, 8, 8], [12, 12], [12, 12], [13, 13], [10, 10, 12], [13, 13], [13]]
[[3, 13, 13], [13, 13], [12, 13], [10, 10], [9, 9], [12, 12], [11, 11], [], [12, 12], [13, 13], [6, 8, 8, 8], [13, 13]]
[[13, 13], [11, 11], [13], [], [8, 8, 8], [12, 12], [6, 12], [10, 10], [9, 9], [3, 12, 12], [13, 13], [13, 13], [13, 13]]
[[13, 13], [13, 13], [12, 12], [9, 12], [], [8, 8, 8], [10, 10], [12, 12], [11, 11], [], [13, 13], [6, 9], [13, 13], [3, 13]]
[[12, 12], [13], [], [13], [13], [12, 12], [9, 9], [13], [13], [3, 6, 13], [10, 13], [8, 8, 8], [10, 13], [11, 13], [11, 12]]
[[3, 6, 13], [12], [13], [10, 12], [12], [9, 13], [11, 11], [13], [13], [13], [10, 12], [13], [12], [8, 8], [9, 13], [8, 13]]
[[3, 13], [13], [6, 13], [8, 13], [13], [9, 12], [9, 12], [13], [12], [8, 8], [12], [10, 11], [10, 11], [13], [13], [12], [13]]
[[3, 13], [13], [13], [13], [13], [13], [8, 12], [12], [8, 9], [8, 11], [9, 11], [13], [12], [12], [6, 12], [10, 10], [13], [13]]
[[3, 12], [13], [13], [13], [12], [12], [13], [9, 9], [8, 8], [11], [12], [13], [13], [13], [13], [13], [8, 11], [6, 12], [10, 10]]
[[3, 12], [13], [13], [13], [10], [12], [13], [13], [13], [11], [8, 8], [12], [8, 10], [11], [13], [12], [9, 9], [13], [13], [6, 12]]
[[3, 13], [13], [13], [13], [13], [13], [6, 11], [13], [12], [11], [10], [9], [10], [12], [13], [12], [12], [8, 9], [12], [13], [8, 8]]
[[3, 13], [8, 9], [13], [12], [13], [10], [13], [13], [13], [13], [12], [8, 8], [9], [13], [11], [12], [12], [10], [6], [12], [13], [11]]
[[3, 13], [8], [13], [13], [13], [12], [10], [9], [13], [12], [11], [13], [10], [9], [12], [6], [11], [13], [13], [12], [12], [8, 8], [13]]
[[3, 9], [12], [13], [13], [13], [13], [9], [13], [12], [12], [8, 8], [6], [11], [13], [], [12], [10], [8], [13], [11], [13], [12], [13], [10]]
[[13], [13], [13], [11], [9], [8], [13], [8], [13], [13], [12], [], [10], [9], [12], [12], [13], [13], [12], [12], [6], [11], [10], [3, 8], [13]]
[[3, 8], [6], [12], [13], [13], [8], [13], [12], [11], [13], [12], [9], [], [10], [13], [], [12], [11], [13], [9], [8], [12], [13], [10], [13], [13]]
[[3, 8], [13], [13], [13], [13], [], [], [10], [8], [12], [10], [12], [8], [], [11], [6], [13], [12], [12], [9], [9], [12], [13], [11], [13], [13], [13]]
-EndAllocation

Instance: [[1], [269], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [180, 120, 90, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [135, 90, 68, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[12, 12, 13, 13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 9, 12, 12, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[], [12, 12, 13, 13, 13, 13, 13], [4, 8, 13, 13, 13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 9, 9, 9, 13, 13, 13]]
[[], [4, 4, 4, 4, 4, 4, 4, 13, 13, 13], [9, 9, 13, 13, 13, 13], [8, 9, 13, 13, 13, 13], [12, 12, 13, 13, 13]]
[[], [9, 9, 9, 12, 12], [8, 13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [4, 4, 4, 4, 4, 4, 4, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13], [8, 12, 12, 13], [13, 13, 13, 13], [9, 9, 9, 13], [4, 4, 4, 4, 4, 4, 4, 13]]
[[], [13, 13, 13], [13, 13, 13], [13, 13, 13], [8, 12, 12, 13], [4, 4, 4, 4, 4, 4, 4, 9], [13, 13], [9, 9, 13, 13]]
[[], [13, 13, 13], [9, 9, 9, 13], [12, 12, 13], [13, 13, 13], [13, 13, 13], [4, 4, 4, 4, 4, 4, 4], [13, 13, 13], [8]]
[[], [9, 9, 13], [4, 4, 13, 13], [13, 13], [8, 12, 12], [13, 13], [9, 13, 13], [13, 13], [13, 13], [4, 4, 4, 4, 4, 13]]
[[13], [8, 13], [12, 12], [13, 13], [4, 4, 4, 4, 4, 4, 4], [13, 13], [13, 13], [13, 13], [9, 9, 9], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13], [13, 13], [9, 9, 9], [4, 4, 4, 4, 4, 4, 4], [13, 13], [12, 12], [8, 13], [13, 13], [13, 13]]
[[], [13, 13], [12, 12], [13, 13], [13, 13], [], [13, 13], [4, 4, 13], [13, 13], [9, 9], [13, 13], [4, 4, 4, 4, 4, 8], [9, 13]]
[[], [13, 13], [4], [12, 12], [13, 13], [4, 4, 4, 4, 4, 4], [13], [9, 13], [13, 13], [13, 13], [8, 9, 9], [13, 13], [13, 13], []]
[[13], [4, 13], [13], [4, 4, 13], [13], [12, 12], [8, 13], [4, 4, 13], [9, 13], [9, 13], [13], [4, 4, 13], [9, 13], [13], [13]]
[[13], [13], [9, 13], [9, 13], [4, 4, 12], [13], [13], [4, 13], [13], [13], [4, 4, 12], [8, 13], [13], [13], [9, 13], [4, 4, 13]]
[[13], [13], [4, 13], [12], [13], [13], [13], [4, 4, 13], [9, 9], [13], [9, 12], [13], [4, 4, 13], [8, 13], [4, 4, 13], [13], [13]]
[[13], [13], [4, 13], [13], [9, 9], [4, 13], [13], [12], [4, 13], [13], [13], [4, 13], [4, 13], [8, 9], [13], [4, 13], [4, 13], [12]]
[[13], [4, 4, 9], [13], [13], [13], [13], [13], [13], [4, 4, 4, 4, 4], [13], [12], [13], [13], [13], [9, 9], [8, 12], [13], [13], [13]]
[[13], [13], [13], [13], [13], [4, 4], [4, 13], [8, 9], [13], [13], [12], [13], [13], [13], [4, 4, 4, 4], [13], [12], [13], [13], [9, 9]]
[[13], [13], [13], [13], [13], [13], [12], [8, 9], [4, 4, 4], [13], [12], [13], [9], [13], [13], [4, 4, 4, 4], [13], [13], [9], [13], [13]]
[[12], [4, 4, 4, 4], [13], [13], [9], [13], [9], [13], [8], [4, 4, 4], [13], [13], [12], [13], [13], [13], [13], [13], [13], [13], [13], [9]]
[[13], [13], [13], [13], [13], [13], [12], [13], [9], [13], [], [4, 4, 4], [9], [13], [13], [13], [12], [13], [13], [4, 4, 4, 4], [9], [8], [13]]
[[13], [13], [13], [13], [13], [13], [4, 4, 4, 4], [8], [12], [], [12], [13], [13], [13], [9], [13], [13], [4, 4, 4], [9], [], [9], [13], [13], [13]]
[[13], [13], [9], [9], [13], [], [], [12], [12], [4, 4, 4], [13], [13], [13], [13], [13], [8], [13], [4, 4, 4], [9], [13], [13], [13], [4], [13], [13]]
[[8], [13], [13], [4, 4, 4], [13], [], [9], [13], [13], [12], [13], [13], [13], [13], [13], [], [], [9], [4], [4, 4, 4], [13], [13], [13], [12], [9], [13]]
[[], [13], [13], [13], [8], [13], [13], [4, 4, 4], [12], [13], [12], [13], [], [13], [13], [], [13], [13], [4, 4, 4], [13], [4, 9], [13], [13], [], [9], [9], []]
-EndAllocation

Instance: [[1], [268], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [178, 120, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [134, 90, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 7, 8, 8, 8, 10, 10, 11, 11, 12, 12, 12], [9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 8, 8, 8, 10, 10], [13, 13, 13, 13, 13, 13, 13, 13, 13], [7, 9, 9, 11, 11, 12, 12, 12]]
[[6, 6, 6, 6, 7, 10, 10, 12, 12, 12], [11], [11, 13, 13, 13, 13, 13, 13], [8, 8, 8, 9, 9, 13, 13, 13]]
[[8, 8, 8, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 7, 12, 12, 12], [9, 9, 13], [10, 10, 11, 11]]
[[13, 13, 13, 13], [6, 6, 6, 6], [7, 10, 10], [9, 9, 11, 11, 13], [8, 8, 8, 12, 12, 12], [13, 13, 13, 13]]
[[13, 13, 13, 13], [13, 13, 13, 13], [8, 8, 8, 13], [11, 11], [9], [6, 6, 6, 6, 10, 10], [7, 9, 12, 12, 12]]
[[13, 13, 13], [11, 11, 13], [7, 12, 12, 13], [13, 13, 13], [9, 9, 10, 10], [], [6, 6, 6, 6, 12], [8, 8, 8, 13]]
[[13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 9], [7, 13], [], [9, 10, 10], [12, 12, 13], [8, 8, 8, 12], [11, 11, 13]]
[[7, 12, 12], [13, 13], [6, 8, 8, 8], [13, 13], [11, 11], [10, 10, 12], [13], [9, 9, 13], [13, 13], [6, 6, 6, 13]]
[[9, 12, 12], [9, 13], [6, 6, 6, 6], [13, 13], [8, 8, 8], [13, 13], [], [11, 11], [10, 10, 13], [7, 12, 13], [13, 13]]
[[6, 6, 6, 6], [13, 13], [13, 13], [10, 10], [8, 8, 13], [11, 11], [7, 8, 13], [9, 9], [12, 12], [], [13, 13], [12, 13]]
[[13, 13], [7, 10, 10], [13, 13], [], [8, 8, 8], [12, 12], [6, 6, 6, 6], [], [9, 9], [11, 11], [12, 13], [13, 13], [13, 13]]
[[13, 13], [13, 13], [12, 12], [9, 9], [12], [8, 8, 8], [], [10, 10], [11, 11], [], [7, 13], [6, 6, 6, 6], [13, 13], [13, 13]]
[[6, 6, 6, 6], [13], [13], [13], [13], [12, 12], [9, 10], [9, 13], [13], [13], [8, 8, 8], [7], [10, 12], [11, 13], [11, 13]]
[[8, 13], [6, 13], [7, 13], [9, 12], [13], [12], [11, 11], [13], [8, 8], [6, 6, 6], [9, 13], [12], [13], [10, 10], [13], [13]]
[[6, 6, 6], [13], [6, 13], [8, 13], [13], [9, 9], [7, 12], [13], [11], [8, 11], [8, 12], [10, 10], [12], [13], [13], [13], [13]]
[[13], [13], [13], [11], [8, 12], [13], [13], [6, 11], [6, 6, 6], [12], [9, 9], [7, 13], [10, 10], [13], [12], [13], [8, 8], [13]]
[[13], [8, 11], [13], [12], [13], [7, 12], [13], [9, 9], [8, 8], [11], [10, 10], [13], [13], [13], [], [13], [6, 6, 6], [12], [6, 13]]
[[6, 6, 6], [13], [8, 10], [9, 9], [13], [12], [13], [7], [13], [10], [13], [12], [13], [8, 8], [11], [11], [13], [13], [6, 12], [13]]
[[13], [13], [13], [13], [7, 10], [11], [13], [12], [6, 6], [11], [13], [9], [6, 6], [13], [8, 8], [10], [12], [8, 9], [12], [13], [13]]
[[6, 6], [8], [13], [13], [13], [12], [8, 8], [13], [7], [13], [12], [11], [6, 9], [12], [13], [13], [11], [10], [6, 9], [10], [13], [13]]
[[13], [13], [13], [8], [13], [12], [10], [9], [13], [6], [11], [9], [8, 8], [11], [7], [6, 6], [12], [6, 10], [13], [13], [12], [13], [13]]
[[13], [9], [8], [13], [13], [13], [7, 9], [13], [12], [12], [8, 8], [6, 6], [], [11], [13], [12], [10], [6, 6], [13], [10], [13], [], [13], [11]]
[[13], [13], [13], [13], [9], [8], [6, 6], [13], [8], [13], [12], [8], [10], [10], [9], [12], [13], [], [12], [13], [6, 6], [11], [11], [13], [7]]
[[10], [13], [13], [13], [13], [8], [8], [6, 6], [11], [13], [12], [9], [7], [13], [6, 6], [], [12], [11], [8], [9], [], [12], [13], [10], [13], [13]]
[[13], [13], [13], [6, 6], [13], [], [], [10], [8], [13], [10], [12], [8], [], [11], [6, 6], [13], [7], [8], [9], [9], [12], [12], [11], [13], [13], [13]]
-EndAllocation

Instance: [[1], [267], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [178, 118, 89, 72, 60, 52, 45, 40, 36, 33, 30, 28, 26, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [134, 89, 67, 54, 45, 39, 34, 30, 27, 25, 23, 21, 20, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13], [6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [13, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [6, 6, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [13], [6, 6, 6, 6, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [6, 13, 13, 13], [13, 13, 13], [6, 13, 13, 13], [6, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [6], [6, 13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [], [13, 13, 13]]
[[13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 6, 13], [], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6], [13], [13, 13], [], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13], [13, 13], [], [6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 6, 6]]
[[13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [6, 13]]
[[13], [13], [13], [6, 13], [6, 13], [6, 13], [13], [6, 6, 6], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [6, 13], [13], [6, 13], [13], [6, 13], [13], [13], [6, 13], [6, 13], [6, 6, 6], [13], [6, 6, 6], [13], [13], [6, 13], [13]]
[[13], [13], [6, 13], [13], [13], [13], [6, 13], [6, 6, 6], [6, 13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [6, 6, 6], [13]]
[[13], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13]]
[[13], [13], [6, 6], [13], [13], [13], [13], [13], [13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [6, 6], [13]]
[[13], [6, 6], [], [13], [13], [13], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 6], [13], [13], [13]]
[[13], [13], [13], [13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], [], [13], [], [6, 6], [13], [6, 6], [13], [13], [6, 6], [13], [6, 6]]
[[13], [13], [13], [13], [6, 6], [6, 6], [13], [], [13], [6, 6], [13], [13], [13], [13], [], [6, 6], [13], [13], [6, 6], [13], [13], [13], [], [6, 6]]
[[13], [13], [], [13], [13], [13], [], [], [13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [], [6, 6], [6, 6], [6, 6], [13]]
[[13], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [], [], [13], [], [6, 6], [13], [], [6, 6], [13], [6, 6], [13], [13], [13], [13], []]
[[13], [6, 6], [6, 6], [], [13], [13], [13], [13], [13], [6, 6], [13], [], [13], [13], [13], [], [], [13], [], [6, 6], [13], [6, 6], [13], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [266], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 6, 6, 6, 6, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [177, 118, 89, 72, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [133, 89, 67, 54, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[2, 3, 6, 6, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [10, 10, 11, 11, 11, 12, 12, 12]]
[[2, 3, 11, 11, 11, 12, 12, 12, 13, 13, 13], [9, 9, 10, 10], [6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13]]
[[2, 3, 10, 10, 13, 13, 13, 13], [9, 9, 12, 12, 12], [6, 6, 6, 6, 11, 11, 11], [13, 13, 13, 13, 13, 13]]
[[2, 3, 13, 13, 13, 13, 13], [6, 6, 6, 6, 9, 9], [13, 13, 13, 13, 13], [11, 11, 11], [10, 10, 12, 12, 12]]
[[2, 3, 6, 6, 6, 6, 13, 13], [11, 11, 11], [10, 10, 13, 13, 13], [9, 9], [12, 12, 12, 13], [13, 13, 13, 13]]
[[2, 3, 13, 13, 13], [13, 13, 13], [9, 9, 10, 10, 11], [], [6, 6, 6, 6, 13], [11, 12, 12, 12], [11, 13, 13, 13]]
[[2, 3, 13, 13, 13], [], [13, 13, 13], [6, 6, 6, 6, 13], [9, 9, 10, 10], [11, 11, 11], [12, 12, 12], [13, 13, 13]]
[[2, 6, 6, 6, 6, 13], [13, 13, 13], [11, 11, 11], [13, 13, 13], [], [13, 13, 13], [10, 10], [3, 12, 12, 12], [9, 9]]
[[2, 3, 13, 13], [13, 13], [13, 13], [13, 13], [11, 11, 11], [10, 10], [9, 9], [6, 6, 6, 6], [12, 12, 12], [13, 13]]
[[11, 11, 11], [2, 9, 9, 13], [13, 13], [12, 12], [13, 13], [], [13, 13], [3, 10, 10], [6, 6, 6, 6], [12, 13], [13, 13]]
[[2, 13, 13], [], [6, 6, 6, 6], [11, 11], [12, 12], [13, 13], [12], [10, 10], [3, 13, 13], [9, 9, 11], [13, 13], [13, 13]]
[[2, 3, 9, 9], [11, 12], [13, 13], [], [11, 11], [], [6, 6, 6, 6], [13, 13], [13, 13], [10, 10], [12, 12], [13, 13], [13, 13]]
[[2, 3, 13], [11, 13], [10, 10], [9, 13], [9, 13], [6, 6, 6, 6], [], [11, 13], [12, 12], [12, 13], [13], [13], [13], [11, 13]]
[[12, 12], [13], [13], [13], [13], [10, 13], [9, 9], [13], [13], [11, 13], [6, 6, 6, 6], [13], [2, 3, 10], [11, 13], [11, 12]]
[[2, 6, 13], [12], [6, 13], [6, 13], [11, 11], [10, 12], [10, 11], [6, 13], [9, 9], [13], [13], [3, 13], [13], [13], [13], [12]]
[[3, 6, 12], [13], [13], [10, 11], [13], [13], [13], [6, 11], [13], [13], [13], [9, 9], [12], [12], [10, 11], [6, 13], [2, 6, 13]]
[[2, 3, 12], [12], [13], [13], [13], [6, 13], [13], [13], [6, 6, 6], [13], [11], [10, 10], [13], [9, 11], [13], [13], [12], [9, 11]]
[[9, 9], [13], [13], [13], [6, 10], [6, 11], [10], [11], [11], [12], [13], [13], [13], [13], [13], [6, 12], [6, 12], [13], [2, 3, 13]]
[[2, 3, 6, 6], [9, 9], [13], [12], [13], [13], [12], [13], [13], [13], [11], [11], [12], [13], [10], [13], [6, 11], [13], [13], [6, 10]]
[[2, 3, 12], [10], [13], [13], [13], [13], [6, 11], [11], [12], [12], [13], [9], [10], [13], [6], [13], [13], [6, 9], [6, 11], [13], [13]]
[[2, 13], [13], [12], [13], [13], [11], [12], [13], [6, 6], [13], [11], [13], [9], [10], [13], [13], [], [9], [12], [6, 10], [3, 13], [6, 11]]
[[2, 6, 6], [13], [13], [13], [13], [12], [], [13], [11], [12], [10], [11], [10], [11], [13], [6, 6], [9], [13], [13], [9], [12], [13], [3, 13]]
[[2, 3, 9], [13], [10], [13], [13], [12], [], [], [6, 6], [12], [13], [6, 6], [9], [11], [13], [11], [13], [11], [12], [10], [13], [13], [13], [13]]
[[13], [13], [13], [9], [], [], [12], [6, 6], [13], [12], [6, 6], [9], [11], [10], [13], [11], [13], [11], [12], [13], [10], [13], [2, 3], [13], [13]]
[[13], [6, 6], [13], [13], [13], [9], [], [6, 6], [11], [13], [12], [], [], [10], [], [11], [13], [12], [9], [11], [13], [2, 12], [13], [3, 10], [13], [13]]
[[13], [], [13], [6, 6], [13], [], [], [10], [], [13], [10], [11], [6, 6], [11], [13], [12], [12], [], [13], [9], [3, 9], [12], [13], [2, 11], [13], [13], [13]]
-EndAllocation

Instance: [[1], [265], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 7, 7, 8, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [177, 118, 89, 70, 60, 50, 45, 40, 36, 33, 30, 28, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [133, 89, 67, 53, 45, 38, 34, 30, 27, 25, 23, 21, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[6, 6, 6, 6, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 7, 7, 8, 9, 11, 11, 12, 12, 12]]
[[5, 7, 7, 9, 11, 11, 12, 12, 12], [6, 6, 6, 6, 8, 10, 10, 10], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 13, 13, 13, 13, 13, 13], [10, 10, 10, 12, 12, 12], [6, 6, 6, 6, 7, 7, 11, 11], [8, 9, 13, 13, 13]]
[[5, 13, 13, 13, 13], [6, 6, 6, 6, 10, 10, 10], [13, 13, 13, 13, 13], [8, 9, 12, 12, 12], [7, 7, 11, 11]]
[[5, 13, 13, 13, 13], [7, 7, 10, 10, 10], [13, 13, 13, 13], [8, 9], [11, 11, 12, 12, 12], [6, 6, 6, 6, 13]]
[[5, 13, 13, 13], [12, 13, 13], [8, 10, 10, 10, 11], [6, 6, 6, 6, 12, 12], [], [9, 13, 13, 13], [7, 7, 11, 13]]
[[5, 13, 13, 13], [13, 13, 13], [], [13, 13, 13], [6, 6, 6, 6, 10, 10], [9, 11, 11], [8, 12, 12, 12], [7, 7, 10]]
[[5, 8, 11, 11], [13, 13, 13], [12, 12, 12], [6, 6, 6, 6, 13], [], [], [13, 13, 13], [7, 7, 13, 13], [9, 10, 10, 10]]
[[5, 12, 12], [12, 13], [8, 13, 13], [13, 13], [11, 11], [10, 10, 10], [7, 7], [6, 6, 6, 6, 9], [13, 13], [13, 13]]
[[5, 8, 13], [10, 10, 10], [6, 6, 6, 6], [12, 13], [9, 13], [13, 13], [7, 7], [12, 12], [13, 13], [11, 11], [13, 13]]
[[13, 13], [5, 12, 12], [6, 6, 6, 6], [11, 11], [9, 12], [7, 7], [13, 13], [], [10, 10, 10], [8, 13], [13, 13], [13, 13]]
[[5, 9], [13, 13], [11, 11], [], [7, 7], [10], [6, 6, 6, 6], [13, 13], [12, 13], [8, 10, 10], [12, 12], [13, 13], [13, 13]]
[[11, 13], [12, 13], [5, 13], [9, 13], [13], [7, 7], [6, 6, 6, 6], [12, 12], [10, 10], [8, 13], [13], [], [11, 13], [10, 13]]
[[5, 13], [13], [13], [13], [13], [13], [11, 12], [12, 12], [10, 10], [7, 7], [6, 6, 9], [13], [10, 13], [6, 6, 11], [8, 13]]
[[7, 13], [6, 13], [11, 11], [5, 13], [12], [12], [10, 10], [13], [6, 6, 6], [8, 13], [13], [10, 12], [13], [9], [13], [7, 13]]
[[6, 13], [5, 12], [13], [13], [13], [8, 13], [9, 11], [7, 7], [12], [6, 6, 6], [13], [10, 10], [13], [10, 11], [12], [13], [13]]
[[5, 13], [8, 12], [13], [13], [9, 11], [13], [13], [13], [7, 7], [10], [12], [6, 6, 6], [6, 11], [12], [13], [10, 10], [13], [13]]
[[5, 13], [6, 10], [7, 7], [13], [6, 10], [13], [6, 11], [13], [13], [6, 12], [12], [13], [8, 9], [13], [10], [12], [11], [13], [13]]
[[6, 6, 6], [13], [6, 9], [13], [13], [13], [11], [13], [10], [13], [12], [12], [13], [7, 7], [11], [8, 10], [12], [13], [13], [5, 10]]
[[7, 7], [13], [13], [13], [13], [11], [], [6, 6], [13], [12], [13], [12], [12], [13], [10], [6, 10], [8, 9], [5, 11], [6, 10], [13], [13]]
[[5, 6, 6], [7, 7], [13], [13], [13], [10], [13], [12], [12], [11], [12], [11], [9], [13], [8], [10], [10], [13], [6, 6], [13], [13], [13]]
[[13], [13], [13], [13], [13], [12], [5, 10], [13], [8], [12], [10], [11], [10], [11], [], [6, 6], [9], [6, 6], [13], [12], [7, 7], [13], [13]]
[[5, 10], [13], [], [13], [13], [12], [13], [8], [6, 6], [6, 6], [12], [7, 7], [13], [10], [], [11], [9], [13], [12], [10], [11], [13], [13], [13]]
[[5], [13], [13], [11], [8], [13], [6, 6], [7, 7], [], [13], [12], [], [10], [12], [11], [10], [13], [13], [12], [9], [6, 6], [13], [10], [13], [13]]
[[13], [6, 6], [5, 8], [13], [13], [], [], [6, 6], [11], [13], [13], [], [10], [11], [7, 7], [], [13], [12], [9], [10], [13], [12], [12], [10], [13], [13]]
[[13], [13], [5, 7], [6, 6], [13], [13], [], [10], [8], [13], [10], [11], [6, 6], [], [13], [12], [12], [], [7], [9], [13], [12], [], [11], [10], [13], [13]]
-EndAllocation

Instance: [[1], [264], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13]]
[[5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 5, 10, 10, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13, 13, 13], [10, 10, 12, 13, 13, 13, 13]]
[[], [5, 13, 13, 13, 13, 13], [5, 5, 10, 10, 12, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 13, 13, 13], [10, 10, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [12, 13, 13], [10, 10, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 5, 5, 13], [5, 5, 5, 5, 10, 10], [5, 13, 13, 13], [13, 13, 13], [12, 13, 13], [13, 13, 13], [13, 13]]
[[], [5, 5, 5, 5, 5, 13], [13, 13, 13], [5, 5, 5, 5, 5, 12], [13, 13, 13], [], [13, 13, 13], [13, 13, 13], [10, 10, 13]]
[[13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 12], [13, 13], [10, 10, 13], [13, 13], [13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5], [10, 10], [13, 13], [12, 13]]
[[], [12, 13], [13, 13], [13, 13], [13, 13], [10, 10], [13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13]]
[[], [12, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13], [10, 10], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], []]
[[13], [13], [13], [13], [5, 5, 13], [13], [10, 13], [13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [12, 13], [5, 5, 13], [10, 13]]
[[13], [5, 5, 13], [13], [10, 13], [13], [13], [13], [12], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [10, 13], [5, 5, 13], [13]]
[[13], [5, 13], [13], [13], [5, 13], [5, 13], [10, 10], [5, 13], [5, 5, 12], [5, 13], [5, 13], [13], [5, 13], [13], [5, 13], [13]]
[[13], [13], [13], [5, 13], [5, 13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [12], [5, 13], [13], [13], [5, 13], [5, 13], [10, 10]]
[[13], [13], [13], [5, 13], [5, 5, 5, 5], [13], [13], [13], [13], [5, 5, 5, 5], [13], [13], [13], [12], [5, 13], [10, 10], [13], [13]]
[[10], [13], [13], [13], [5, 13], [13], [5, 5, 5], [5, 13], [12], [13], [5, 13], [13], [13], [5, 5, 5], [5, 13], [13], [10], [13], [13]]
[[13], [5, 13], [13], [12], [13], [13], [10], [13], [13], [5, 13], [13], [13], [5, 5], [13], [5, 5, 5], [13], [5, 5, 5], [13], [10], [13]]
[[13], [13], [13], [13], [13], [13], [5, 12], [5, 5, 5], [13], [13], [10], [13], [13], [13], [], [5, 5, 5], [10], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [5, 5, 5], [5], [], [5, 5, 5], [13], [13], [13], [10], [13], [10], [12], [13]]
[[], [13], [13], [5, 5, 5], [], [13], [5], [13], [5, 5, 5], [13], [13], [13], [13], [13], [10], [12], [13], [13], [13], [10], [5, 5, 5], [13], [13]]
[[13], [13], [5, 5], [13], [13], [5, 5], [13], [13], [13], [13], [], [12], [13], [5, 5], [13], [13], [13], [], [10], [13], [13], [10], [5, 5], [5, 5]]
[[10], [5, 5], [5, 5], [5, 5], [13], [10], [13], [13], [13], [], [12], [5, 5], [13], [13], [13], [13], [13], [], [13], [13], [], [13], [13], [13], [5, 5]]
[[10], [], [], [13], [5, 5], [13], [], [13], [5, 5], [12], [5, 5], [13], [10], [13], [13], [5, 5], [13], [13], [5, 5], [], [13], [13], [13], [13], [13], [13]]
[[13], [13], [], [5, 5], [13], [13], [], [5, 5], [13], [5, 5], [13], [5, 5], [13], [13], [13], [13], [], [10], [], [13], [13], [13], [5, 5], [], [10], [12], [13]]
-EndAllocation

Instance: [[1], [263], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [176, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [132, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[1, 5, 7, 7, 7, 7, 10, 10, 11, 11, 12, 12], [6, 6, 8, 8, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[1, 5, 6, 6, 8, 8, 9, 9, 11, 11], [7, 7, 7, 7, 13, 13, 13, 13, 13, 13], [10, 10, 12, 12, 13, 13, 13]]
[[1, 10, 11, 13, 13, 13, 13, 13], [7, 7, 7, 7, 9, 9], [5, 6, 6, 8, 8, 10], [11, 12, 12, 13, 13, 13, 13]]
[[1, 5, 8, 8, 13, 13, 13], [7, 7, 7, 7, 13], [6, 6, 12, 12], [9, 9, 10, 10, 11, 11], [13, 13, 13, 13, 13]]
[[1, 5, 13, 13, 13, 13], [11, 11], [7, 7, 7, 7], [8, 8, 9, 9, 10, 10], [12, 12, 13, 13], [6, 6, 13, 13, 13]]
[[1, 5, 10, 13, 13], [13, 13, 13], [8, 8, 12, 12], [], [6, 6, 7, 7, 7, 7, 10], [9, 11, 11, 13], [9, 13, 13, 13]]
[[1, 5, 13, 13], [6, 6], [13], [13, 13, 13], [7, 7, 7, 7, 8, 8], [10, 10, 11, 11], [9, 9, 12, 12], [13, 13, 13]]
[[1, 6, 6, 13, 13], [13, 13, 13], [5], [13, 13, 13], [], [8, 10, 10], [12, 12, 13], [9, 9, 11, 11], [7, 7, 7, 7, 8]]
[[1, 5, 7, 7, 7, 7], [12, 13], [8, 8], [13, 13], [11, 11, 12], [10, 10], [13, 13], [6, 6, 9, 9], [13, 13], [13, 13]]
[[1, 5, 13, 13], [8, 8, 10], [9, 9, 13], [11, 11], [7, 7, 7, 7], [13, 13], [], [12, 12], [6, 6, 13], [10, 13], [13, 13]]
[[1, 5, 6, 6, 10], [10], [], [13, 13], [7, 7, 7], [11, 11], [12, 12], [13, 13], [8, 8, 13], [13, 13], [7, 9, 9], [13, 13]]
[[1, 5, 13], [7, 7, 7, 7], [12, 12], [], [8, 8, 10], [11, 11], [9, 9], [], [13, 13], [6, 6, 10], [13, 13], [13, 13], [13, 13]]
[[1, 7, 13], [6, 6, 13], [11, 13], [9, 9], [12, 13], [8, 8], [5], [13], [10, 10], [13], [7, 7, 7], [13], [12, 13], [11, 13]]
[[1, 8, 13], [8, 13], [13], [13], [13], [5], [11, 11], [12, 12], [9, 13], [7, 7, 7], [6, 6, 7], [13], [10, 10], [9, 13], [13]]
[[1, 7, 13], [6, 12], [6, 13], [12], [7, 7, 7], [8, 8], [11, 11], [13], [13], [10, 10], [5, 13], [13], [13], [9, 9], [13], [13]]
[[1, 7, 12], [9, 9], [13], [7, 13], [12], [8, 8], [13], [7, 13], [10, 10], [6, 6], [13], [11], [5, 13], [11], [13], [7, 13], [13]]
[[1, 5, 12], [8, 8], [13], [13], [13], [13], [13], [6, 11], [7, 7], [13], [9, 9], [7, 7], [10, 10], [13], [12], [13], [6, 11], [13]]
[[1, 5, 11], [13], [13], [13], [13], [6, 12], [13], [8, 8], [13], [7, 7], [10], [9, 9], [13], [12], [7, 7], [13], [6, 11], [13], [10]]
[[1, 7, 7], [13], [13], [13], [13], [9, 9], [12], [12], [13], [13], [13], [11], [13], [10], [6, 6], [7], [7, 11], [8, 8], [5, 13], [10]]
[[1, 5, 7], [13], [7, 10], [12], [13], [13], [13], [7, 7], [6, 6], [11], [12], [8, 8], [11], [13], [10], [13], [13], [9], [9], [13], [13]]
[[1, 13], [13], [13], [13], [7], [11], [13], [13], [6, 6], [12], [11], [7, 7], [8, 8], [5], [12], [13], [10], [10], [7, 9], [9], [13], [13]]
[[1, 5, 10], [13], [13], [13], [13], [11], [13], [8, 8], [7, 7], [12], [11], [13], [12], [9], [], [6, 6], [], [9], [13], [13], [7, 7], [13], [10]]
[[1, 13], [13], [13], [13], [13], [7, 7], [], [7, 7], [5], [9], [8], [9], [11], [8], [13], [12], [10], [6, 6], [13], [10], [11], [12], [13], [13]]
[[1, 13], [13], [13], [13], [7, 7], [13], [12], [5, 6], [13], [], [10], [9], [], [8], [13], [11], [12], [9], [11], [13], [10], [7, 7], [8], [13], [6]]
[[1, 10], [6, 6], [13], [9], [13], [9], [12], [], [10], [7, 7], [], [], [7, 7], [13], [13], [], [12], [13], [11], [11], [13], [13], [8], [5, 8], [13], [13]]
[[1, 5, 7], [10], [13], [6, 6], [13], [13], [], [10], [9], [13], [12], [13], [8], [], [], [7], [11], [8], [13], [9], [7], [12], [13], [11], [7], [13], [13]]
-EndAllocation

Instance: [[1], [262], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [174, 117, 88, 70, 58, 50, 44, 40, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [131, 88, 66, 53, 44, 38, 33, 30, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 12, 13, 13, 13, 13, 13, 13, 13]]
[[6, 12, 12], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [6, 13, 13, 13, 13, 13, 13], [12, 12, 13, 13, 13, 13]]
[[], [5, 13, 13, 13, 13, 13], [5, 12, 12, 13, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 6, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13, 13], [13, 13, 13, 13], [6, 13, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 12, 12, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [5, 13, 13, 13], [13, 13, 13], [6, 12, 12, 13], [13, 13, 13], [13]]
[[], [5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [5, 5, 5, 12, 12], [13, 13, 13], [6], [13, 13, 13], [13, 13, 13], [13, 13]]
[[13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 12], [12, 13], [6, 13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5], [13, 13], [6, 13, 13], [12, 12]]
[[], [12, 12], [13, 13], [13, 13], [13, 13], [13, 13], [6], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13]]
[[], [12, 12], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [6]]
[[13], [13], [13], [13], [5, 5, 13], [6, 13], [13], [13], [5, 5, 13], [5, 5, 13], [12, 13], [12, 13], [5, 5, 13], [5, 5, 13]]
[[13], [5, 5, 13], [13], [13], [13], [13], [6, 13], [12, 12], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 5, 13], [13]]
[[13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [5, 5, 12], [6, 13], [5, 13], [13], [5, 13], [13], [5, 13], [12]]
[[13], [13], [13], [5, 13], [5, 13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [12], [5, 13], [13], [5, 13], [5, 12], [6, 13], [13]]
[[13], [13], [13], [5, 13], [5, 5, 5, 5], [6, 13], [13], [13], [12], [5, 5, 5, 5], [13], [13], [13], [12], [5, 13], [13], [13], [13]]
[[13], [13], [13], [13], [5, 13], [12], [5, 5, 5], [5, 13], [13], [12], [5, 13], [13], [13], [5, 5, 5], [5, 13], [13], [13], [6], [13]]
[[13], [5, 13], [13], [12], [13], [13], [13], [13], [13], [5, 13], [13], [12], [5, 5, 6], [13], [5, 5, 5], [], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 12], [5, 5, 5], [13], [13], [6], [13], [12], [13], [], [5, 5, 5], [13], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [6], [13], [5, 5, 5], [13], [13], [12], [5, 5, 5], [5], [], [5, 5, 5], [13], [13], [13], [13], [13], [13], [12], [13]]
[[], [13], [13], [5, 5, 5], [], [13], [5], [13], [5, 5, 5], [12], [13], [13], [13], [13], [13], [12], [13], [13], [6], [13], [5, 5, 5], [13], [13]]
[[13], [13], [5, 6], [13], [13], [5, 5], [12], [13], [13], [5], [], [12], [13], [5, 5], [13], [13], [13], [], [13], [13], [13], [13], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [13], [12], [13], [13], [6], [13], [12], [5, 5], [13], [13], [13], [13], [13], [], [13], [13], [], [13], [13], [13], [5, 5]]
[[12], [], [], [13], [5, 5], [13], [], [13], [5, 5], [12], [5], [13], [5, 5], [13], [13], [5, 5], [13], [13], [5, 6], [], [13], [13], [13], [13], [13], [13]]
[[13], [13], [], [5, 5], [13], [13], [], [5, 5], [13], [5, 5], [13], [5, 5], [6], [13], [13], [13], [], [], [12], [13], [13], [13], [5, 5], [], [13], [12], [13]]
-EndAllocation

Instance: [[1], [261], 27]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,27. UB Alg: [174, 116, 88, 70, 58, 50, 44, 38, 36, 32, 29, 28, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [131, 87, 66, 53, 44, 38, 33, 29, 27, 24, 22, 21, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,27:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13, 13, 13]]
[[5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13, 13], [12, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13, 13, 13], [12, 12, 13, 13, 13, 13]]
[[], [5, 13, 13, 13, 13, 13], [5, 12, 12, 13, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [5, 13, 13, 13], [12, 12, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [5, 13, 13, 13], [13, 13, 13], [12, 12, 13], [13, 13, 13], [13, 13]]
[[13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [5, 5, 12, 12], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 13, 13]]
[[13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5, 12], [12, 13], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [12, 12]]
[[], [12, 12], [13, 13], [13, 13], [13, 13], [13, 13], [13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5], [13, 13], [5, 13]]
[[], [12, 12], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13], [13, 13], [5, 5, 5, 5, 5], [5, 13], [13, 13], [13, 13], []]
[[13], [13], [13], [13], [5, 5, 13], [12, 13], [13], [13], [5, 5, 13], [5, 5, 13], [5, 13], [12, 13], [5, 5, 13], [5, 5, 13]]
[[13], [5, 5, 13], [13], [13], [13], [13], [13], [12, 12], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 5, 13], [5, 13]]
[[13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [5, 5, 12], [5, 13], [5, 13], [13], [5, 13], [13], [5, 13], [12]]
[[13], [13], [13], [5, 13], [5, 13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [12], [5, 13], [13], [5, 13], [5, 12], [5, 13], [13]]
[[13], [13], [13], [5, 13], [5, 5, 5, 5], [13], [5, 13], [13], [12], [5, 5, 5, 5], [13], [13], [13], [12], [5, 13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [12], [12], [5, 13], [13], [13], [5, 5, 5], [5, 13], [13], [13], [13], [13]]
[[13], [5, 13], [13], [12], [13], [13], [13], [13], [13], [5, 13], [13], [12], [5, 5, 5], [13], [5, 5, 5], [], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 12], [5, 5, 5], [13], [13], [13], [13], [12], [5], [], [5, 5, 5], [13], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [12], [5, 5, 5], [5, 5], [], [5, 5, 5], [], [13], [13], [13], [13], [13], [12], [13]]
[[], [13], [13], [5, 5, 5], [], [13], [5, 5], [13], [5, 5, 5], [12], [13], [13], [13], [13], [13], [12], [13], [13], [13], [13], [5, 5, 5], [], [13]]
[[13], [13], [5, 5], [13], [13], [5, 5], [12], [13], [13], [5], [], [12], [13], [5, 5], [13], [13], [13], [], [13], [13], [13], [13], [5, 5], [5, 5]]
[[], [5, 5], [5, 5], [5, 5], [13], [12], [13], [13], [13], [], [12], [5, 5], [13], [13], [13], [13], [13], [], [13], [13], [5], [13], [13], [13], [5, 5]]
[[12], [], [], [13], [5, 5], [13], [], [13], [5, 5], [12], [5], [13], [5, 5], [13], [13], [5, 5], [13], [13], [5, 5], [], [13], [13], [13], [13], [13], [13]]
[[13], [13], [], [5, 5], [13], [13], [], [5, 5], [13], [5, 5], [13], [5, 5], [13], [13], [13], [13], [], [], [12], [13], [13], [5], [5, 5], [], [13], [12], [13]]
-EndAllocation

Instance: [[1], [280], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [186, 125, 93, 74, 62, 53, 46, 42, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [140, 94, 70, 56, 47, 40, 35, 32, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 6, 6, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [8, 8, 10, 10, 10, 11, 11, 11, 12, 12]]
[[5, 8, 8, 11, 11, 11], [6, 6, 6, 6, 9, 9, 10, 10, 10, 12, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 13, 13, 13, 13, 13, 13], [13, 13], [6, 6, 6, 6, 11, 11, 11, 13, 13], [8, 8, 9, 9, 10, 10, 10, 12, 12]]
[[5, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 9, 9, 10, 10, 10], [11, 11, 11, 12, 12], [8, 8]]
[[5, 13, 13, 13, 13], [9, 9, 12, 12], [6, 6, 6, 6, 13, 13], [10, 10, 10], [8, 8, 11, 11, 11], [13, 13, 13, 13]]
[[13, 13, 13, 13], [9, 9, 13, 13], [5, 10, 10, 12, 12], [6, 6, 6, 6, 11, 11], [8, 8], [10, 11], [13, 13, 13, 13]]
[[5, 13, 13, 13], [8, 8, 10, 10, 10], [6, 6, 6, 6, 12], [13, 13, 13], [9, 9, 13], [], [11, 11, 11, 12], [13, 13, 13]]
[[5, 9, 9, 13], [13, 13, 13], [10, 10, 10], [12, 12], [], [6, 6, 6, 6, 11], [11, 11, 13], [8, 8, 13, 13], [13, 13, 13]]
[[5, 9, 9, 13], [8, 8, 11], [6, 6, 6, 6, 11], [13, 13], [10, 10, 10], [12, 12], [13, 13], [13], [13, 13], [11, 13, 13]]
[[10, 10, 10], [13, 13], [6, 6, 6, 6], [8, 8, 12], [9, 9, 12], [], [13, 13], [11, 11, 11], [13, 13], [13, 13], [5, 13, 13]]
[[5, 13, 13], [10, 10, 10], [8, 11], [], [8, 9, 9], [13, 13], [11, 11], [13, 13], [12, 12], [6, 6, 6, 6], [13, 13], [13, 13]]
[[5, 10, 13], [13, 13], [10, 10], [13, 13], [11, 11], [12, 12], [], [8, 8], [6, 6, 6, 6], [9, 9], [11, 13], [13, 13], [13, 13]]
[[13, 13], [11], [6, 6, 6, 6], [9, 9], [], [13, 13], [12, 12], [8, 8], [10, 10], [11, 11], [13, 13], [13, 13], [5, 10], [13, 13]]
[[5, 6, 6, 6], [13], [8, 13], [13], [8, 13], [10, 13], [9, 13], [11, 11], [10, 10], [12, 12], [13], [13], [6], [11, 13], [9, 13]]
[[5, 13], [10, 13], [13], [13], [13], [9, 9], [12, 12], [13], [13], [8, 13], [13], [10, 10], [6, 6, 6, 6], [11, 11], [11], [8, 13]]
[[10, 11], [13], [8, 13], [13], [13], [6, 6, 6], [11, 11], [8, 12], [13], [9, 9], [13], [13], [10, 10], [13], [12], [6, 13], [5, 13]]
[[5, 13], [8, 11], [11], [13], [13], [13], [8, 13], [13], [9, 9], [10, 11], [13], [6, 6, 6], [13], [12], [6, 12], [10, 10], [13], [13]]
[[10, 10], [13], [13], [13], [12], [9, 9], [13], [13], [13], [11], [13], [13], [13], [11], [8, 10], [8, 11], [6, 6, 6], [5, 12], [6, 13]]
[[8, 8], [6, 10], [10], [13], [10], [9, 9], [12], [13], [13], [11], [13], [13], [13], [13], [6, 11], [6, 12], [6, 11], [13], [13], [5, 13]]
[[6, 6, 6], [13], [12], [13], [13], [13], [13], [13], [13], [12], [11], [8, 8], [10], [11], [6, 11], [10], [13], [9, 9], [10], [13], [5, 13]]
[[13], [12], [10], [13], [13], [10], [13], [13], [13], [13], [12], [8, 8], [9], [6, 6], [13], [11], [9], [6, 11], [6, 10], [5, 11], [13], [13]]
[[5, 11], [8, 8], [13], [13], [13], [11], [13], [13], [13], [13], [10], [], [12], [11], [6, 10], [6, 10], [], [6, 9], [13], [12], [6, 9], [13], [13]]
[[13], [11], [13], [13], [13], [6, 6], [11], [13], [13], [12], [8, 8], [9], [], [13], [13], [12], [10], [6, 6], [13], [10], [9], [10], [13], [5, 11]]
[[13], [13], [13], [13], [6, 6], [], [], [13], [12], [11], [12], [10], [10], [9], [13], [8, 8], [13], [11], [13], [13], [9], [11], [6, 6], [5, 10], [13]]
[[13], [6, 6], [13], [13], [13], [13], [13], [6, 6], [], [10], [8], [], [8], [11], [11], [13], [13], [12], [9], [10], [11], [12], [5, 9], [10], [13], [13]]
[[10], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13], [10], [13], [11], [11], [], [13], [12], [10], [], [], [9], [9], [12], [13], [8], [5, 8], [13], [11]]
[[6, 6], [13], [13], [13], [8], [13], [], [13], [10], [10], [11], [6, 6], [9], [13], [9], [], [12], [13], [13], [], [12], [11], [], [5, 8], [11], [10], [13], [13]]
-EndAllocation

Instance: [[1], [279], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 6, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [186, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [140, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 6, 10, 10, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 8, 8, 8, 9, 9, 12, 12, 12]]
[[5, 5, 5, 5, 5, 8, 8, 8, 9, 9, 12, 12, 12], [6, 10, 10, 11, 11, 11], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 6, 10, 13], [5, 5, 5, 5, 13, 13, 13, 13, 13], [12, 12, 12, 13, 13, 13], [8, 8, 8, 9, 9, 10, 11, 11, 11]]
[[9, 12, 13, 13, 13, 13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 9, 10, 10, 12, 12], [6, 8, 8, 8, 11, 11, 11], [5]]
[[5, 13, 13, 13, 13], [9, 9, 12, 12, 12], [13, 13, 13, 13], [5, 5, 5, 5, 6], [11, 11, 11], [8, 8, 8, 10, 10, 13]]
[[13, 13, 13, 13], [5, 5, 5, 5, 10, 10, 13], [5, 12, 12, 12], [6, 11, 11, 11], [8, 8, 8, 9, 9], [13, 13, 13, 13], []]
[[5, 13, 13, 13], [8, 8, 8, 10, 10], [12, 12, 12], [13, 13, 13], [6], [11, 11, 11], [5, 5, 5, 5, 9, 9], [13, 13, 13]]
[[5, 9, 9, 13], [13, 13, 13], [11, 11, 11], [10, 10, 13], [6], [5, 5, 5, 5, 13], [12, 12, 12], [8, 8, 8], [13, 13, 13]]
[[5, 11, 13], [5, 5, 5, 5, 13], [12, 12, 12], [11, 13, 13], [10, 10, 13], [], [8, 8, 8], [9, 9], [6, 13, 13], [11, 13, 13]]
[[5, 13, 13], [13, 13], [6, 9, 9], [12, 12], [11, 11, 11], [13, 13], [5, 5, 5, 5], [8, 8, 8], [10, 10], [12, 13], [13, 13]]
[[5, 13, 13], [11], [10, 10], [11, 11], [5, 5, 5, 5, 12], [13, 13], [9, 9, 13], [8, 8, 8], [6], [12, 12], [13, 13], [13, 13]]
[[5, 9, 9], [12, 13], [10, 10], [], [12, 12], [5, 5, 5, 5], [13, 13], [8, 8, 8], [13, 13], [6, 11], [11, 11], [13, 13], [13, 13]]
[[13, 13], [8, 8, 8], [6], [10, 10], [9, 9], [11, 11], [5, 5, 5, 5], [11, 13], [12], [12, 12], [5], [13, 13], [13, 13], [13, 13]]
[[5, 6, 12], [13], [13], [13], [11, 13], [10, 13], [9, 9], [11, 11], [8, 8, 8], [12, 12], [5, 5, 5, 5], [13], [13], [10, 13], [13]]
[[5, 12], [13], [13], [13], [11], [13], [5, 5, 5, 5], [10, 10], [9, 13], [9, 13], [6], [11, 11], [8, 13], [12, 12], [8, 13], [8, 13]]
[[5, 13], [9, 13], [13], [13], [5, 5, 5, 5], [6, 11], [11, 11], [12], [13], [8, 8], [9, 13], [12], [13], [13], [12], [8, 13], [10, 10]]
[[5, 13], [5, 13], [13], [13], [13], [13], [13], [10, 10], [9, 9], [11], [12], [12], [5, 8, 8], [11], [5, 5, 11], [13], [8, 12], [6, 13]]
[[5, 11], [13], [13], [12], [13], [13], [8, 11], [13], [11], [10, 10], [13], [9, 9], [13], [5, 5, 5, 5], [8, 8], [12], [6, 12], [13], [13]]
[[5, 5, 5], [8, 10], [13], [13], [13], [12], [13], [13], [11], [11], [9, 9], [10], [12], [5, 13], [13], [12], [6, 11], [8, 8], [13], [5, 13]]
[[5, 13], [12], [11], [13], [12], [13], [13], [13], [13], [13], [10], [8, 8], [10], [11], [6, 8], [5, 5, 5], [12], [9, 9], [11], [13], [5, 13]]
[[13], [10], [13], [13], [13], [12], [13], [13], [6], [12], [11], [5, 10], [8, 8], [9], [12], [8, 9], [11], [5, 11], [5, 5, 5], [13], [13], [13]]
[[5, 6], [13], [13], [13], [13], [11], [13], [13], [10], [5, 11], [10], [], [11], [8, 8], [13], [5, 5, 5], [12], [9], [12], [8, 9], [12], [13], [13]]
[[13], [13], [13], [13], [13], [6], [12], [12], [12], [9], [8, 8], [9], [11], [13], [], [8], [5, 10], [5, 5, 5], [13], [11], [11], [5, 10], [13], [13]]
[[5, 11], [13], [13], [13], [13], [13], [], [], [5, 5, 5], [12], [12], [13], [10], [12], [10], [13], [8], [8, 8], [9], [11], [9], [5, 11], [6], [13], [13]]
[[5, 9], [13], [13], [13], [13], [9], [13], [5, 5], [11], [8], [12], [], [11], [13], [6], [5, 5], [12], [12], [8], [10], [8], [11], [13], [10], [13], [13]]
[[13], [5, 6], [13], [13], [13], [13], [], [12], [13], [5, 8], [13], [11], [], [11], [], [12], [11], [8], [8], [9], [5, 9], [12], [5, 5], [10], [10], [13], [13]]
[[5, 6], [13], [13], [13], [13], [11], [13], [12], [5, 5], [], [11], [13], [9], [], [9], [], [8], [8], [13], [12], [12], [11], [5, 5], [8], [10], [10], [13], [13]]
-EndAllocation

Instance: [[1], [278], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[9, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13], [9, 12, 12, 13, 13, 13, 13, 13, 13, 13]]
[[9], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [12, 12, 13, 13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12], [9, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13], [13, 13, 13, 13], [12, 12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [13, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [9, 13], [12, 12, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [12, 12, 13], [9, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [9, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [13, 13, 13], [5, 5, 13], [12, 12]]
[[13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 13], [13, 13], [12, 12, 13], [9, 13, 13], [13, 13], [13, 13]]
[[13], [5, 5, 5, 5, 13], [12, 12], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [9, 13]]
[[], [13, 13], [13, 13], [9, 13], [12, 12], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [9, 13], [12, 12], [13, 13], [5, 5, 5, 5, 5], [], [13, 13]]
[[], [13, 13], [5, 5, 5, 5, 5], [], [13, 13], [13, 13], [13, 13], [12, 12], [5, 5, 5, 5, 5], [9], [13, 13], [13], [13, 13], [13, 13]]
[[13], [12, 13], [13], [13], [13], [5, 5, 13], [13], [5, 5, 13], [5, 5, 13], [9, 13], [13], [5, 5, 13], [12, 13], [5, 5, 13], [13]]
[[13], [13], [12, 12], [5, 5, 13], [9, 13], [5, 5, 13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [13], [13]]
[[13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [12], [13], [5, 13], [5, 13], [13], [5, 13], [13], [5, 13], [9, 13], [12], [5, 13]]
[[13], [13], [5, 13], [13], [5, 13], [13], [5, 12], [5, 5], [5, 13], [9, 12], [13], [5, 13], [13], [5, 13], [5, 13], [13], [13], [5, 13]]
[[13], [13], [13], [13], [13], [13], [13], [13], [5, 13], [5, 13], [5, 13], [12], [5, 5], [5, 13], [13], [12], [5, 13], [5, 5, 9], [5, 13]]
[[13], [13], [13], [12], [5, 5, 5], [5, 13], [13], [9], [5, 5, 5], [13], [13], [5, 13], [5, 13], [13], [13], [13], [5, 13], [13], [13], [12]]
[[13], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [9], [13], [5, 12], [5, 5, 5], [12], [13], [13], [13]]
[[12], [13], [9], [13], [13], [5, 5, 5], [13], [13], [13], [13], [12], [13], [13], [5], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13]]
[[13], [13], [13], [13], [13], [12], [5, 5, 5], [], [5, 9], [], [13], [13], [13], [13], [5, 12], [5, 5], [13], [5, 5, 5], [13], [13], [13], [13], [13]]
[[9], [13], [13], [13], [13], [5, 5, 5], [13], [], [13], [12], [12], [13], [13], [5], [13], [13], [13], [13], [13], [13], [], [5, 5, 5], [5, 5, 5], [13]]
[[13], [13], [5, 5, 5], [13], [9], [], [5, 5, 5], [13], [13], [], [13], [13], [], [13], [13], [13], [13], [13], [13], [5, 5, 5], [12], [5], [13], [12], [13]]
[[13], [13], [9], [13], [5, 5], [12], [13], [13], [13], [5, 5], [13], [13], [5, 5], [13], [12], [5, 5], [13], [5, 5], [13], [13], [], [], [13], [13], [13], []]
[[13], [], [13], [13], [5, 5], [], [13], [], [12], [13], [5, 5], [13], [5, 5], [13], [13], [13], [5, 5], [13], [13], [], [9], [5, 5], [13], [12], [13], [13], [13]]
[[13], [13], [5, 5], [], [12], [5, 5], [9], [13], [5, 5], [13], [13], [13], [], [13], [13], [13], [13], [], [12], [13], [13], [], [5, 5], [13], [5, 5], [13], [13], []]
-EndAllocation

Instance: [[1], [277], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [185, 124, 93, 74, 62, 53, 46, 41, 37, 34, 32, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [139, 93, 70, 56, 47, 40, 35, 31, 28, 26, 24, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[7, 7, 9, 9, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 13, 13]]
[[5, 5, 5, 7, 7, 8, 8, 8, 9, 9, 12, 12, 13, 13], [11, 11, 11], [6, 6, 10, 10, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6], [5, 5, 5, 7, 7, 10, 10, 13, 13, 13], [12, 13, 13, 13, 13, 13, 13], [8, 8, 8, 9, 9, 11, 11, 11, 12]]
[[9, 9, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13], [5, 5, 5, 6, 8, 10, 10, 12, 12], [8, 8, 11, 11, 11], [7, 7]]
[[13, 13, 13, 13], [9, 9, 12, 13, 13], [12, 13, 13, 13], [5, 5, 5, 6, 6], [11, 11, 11], [7, 7, 8, 8, 8, 10, 10]]
[[13, 13, 13, 13], [5, 5, 5, 10, 10, 13], [12, 12], [6, 6, 11, 11, 11], [8, 8, 8, 9, 9], [13, 13, 13, 13], [7, 7]]
[[9, 9, 10, 13], [7, 7, 8, 8, 8], [6, 6, 10, 12, 12], [11, 11, 13], [5, 5, 5, 13, 13], [13, 13, 13], [], [11, 13, 13]]
[[6, 6, 9, 9, 10], [13, 13, 13], [7, 7, 11, 11], [10, 11, 13], [], [5, 5, 5, 13, 13], [12], [8, 8, 8, 12], [13, 13, 13]]
[[6, 11, 13], [5, 5, 5, 7, 7], [8, 8, 8, 13], [13, 13], [10, 10, 13], [], [9, 9, 12], [11, 12], [6, 13, 13], [11, 13, 13]]
[[13, 13], [10, 10, 13], [6, 6, 9, 9], [12, 12], [11, 11, 11], [13], [5, 5, 5, 13], [8, 8, 8], [7, 7], [13, 13], [13, 13]]
[[13, 13], [11, 13], [10, 10, 12], [11, 11], [5, 5, 5, 12], [7, 7, 13], [13, 13], [8, 8, 8], [6, 6], [], [9, 9, 13], [13, 13]]
[[8, 8, 8], [11], [], [10], [6, 11, 11], [5, 5, 5, 13], [13, 13], [7, 7, 10], [13, 13], [6, 9, 9], [12, 12], [13, 13], [13, 13]]
[[12, 13], [7, 7], [], [6, 6, 9], [8, 8, 8], [13, 13], [5, 5, 5], [9, 12], [11, 13], [11, 11], [13, 13], [13], [10, 10], [13, 13]]
[[10, 13], [6, 13], [8, 13], [13], [11, 13], [9, 13], [7, 7, 9], [11, 11], [6, 8, 8], [12, 12], [5, 5, 5], [13], [], [10, 13], [13]]
[[8, 13], [11, 13], [13], [13], [10, 13], [8, 8], [5, 5, 5], [10, 13], [9], [9, 13], [6], [11, 11], [13], [12, 12], [6, 13], [7, 7]]
[[8, 13], [13], [7, 13], [9, 13], [13], [6, 11], [5, 5, 5], [12], [13], [6, 8, 8], [9, 13], [12], [11], [10, 10], [7, 11], [13], [13]]
[[10, 11], [5, 11], [13], [13], [8, 13], [13], [13], [7, 7], [8, 9], [13], [13], [6, 6, 9], [10], [12], [5, 5, 11], [12], [13], [8, 13]]
[[11], [13], [7, 13], [13], [7, 13], [13], [8, 11], [12], [11], [10, 10], [13], [9, 9], [13], [5, 5, 5], [8, 8], [12], [6], [13], [6, 13]]
[[13], [13], [13], [13], [13], [12], [8, 10], [8, 10], [7, 11], [11], [9, 9], [13], [8], [13], [6, 6], [12], [7, 11], [5, 5, 5], [13], [13]]
[[13], [13], [13], [13], [13], [6, 11], [12], [13], [13], [], [8, 10], [6, 8], [8, 10], [12], [7, 7], [5, 5, 5], [11], [9, 9], [11], [13], [13]]
[[13], [13], [13], [13], [13], [11], [7, 9], [13], [6, 6], [12], [11], [7, 10], [8, 8], [13], [10], [9], [11], [12], [5, 5, 5], [13], [13], [8]]
[[6, 6], [13], [13], [13], [13], [11], [13], [13], [8], [11], [10], [12], [11], [10], [9], [5, 5, 5], [12], [9], [8, 8], [13], [7, 7], [13], [13]]
[[13], [13], [13], [13], [13], [13], [12], [11], [12], [7, 9], [8, 8], [9], [13], [5, 5], [], [7, 8], [10], [6, 6], [11], [11], [], [5, 10], [13], [13]]
[[13], [13], [13], [13], [9], [], [13], [10], [5, 5, 5], [12], [7, 7], [], [11], [12], [10], [11], [9], [8, 8], [13], [13], [8], [11], [6, 6], [13], [13]]
[[5, 5], [8], [13], [13], [13], [9], [13], [5], [9], [13], [12], [13], [7, 7], [10], [6, 6], [], [12], [11], [13], [10], [11], [11], [8], [8], [13], [13]]
[[13], [6, 6], [13], [13], [13], [13], [11], [10], [13], [8], [13], [5, 5], [7, 7], [], [], [12], [11], [8], [8], [9], [9], [12], [5], [11], [10], [13], [13]]
[[6, 6], [5, 5], [13], [13], [13], [11], [13], [12], [5, 8], [13], [11], [13], [9], [], [9], [], [8], [7], [13], [7], [12], [11], [], [8], [10], [10], [13], [13]]
-EndAllocation

Instance: [[1], [276], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [184, 122, 92, 74, 61, 53, 46, 41, 37, 34, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13], Opt: [138, 92, 69, 56, 46, 40, 35, 31, 28, 26, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[11], [13, 13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11]]
[[13], [6, 6, 6, 6, 13, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 11, 11]]
[[], [6, 13, 13, 13, 13], [6, 13, 13, 13, 13], [11, 11, 13, 13, 13], [6, 6, 6, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[], [13, 13, 13, 13], [13, 13], [11, 11, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [6, 6, 6, 6, 13, 13]]
[[], [13, 13, 13], [13, 13, 13], [13, 13, 13], [11, 11, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [6, 6, 6, 6, 6, 13]]
[[], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13], [11, 11], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 13], [13, 13], [13, 13], [6, 6, 11, 11], [13, 13], [13, 13], [13, 13]]
[[13], [6, 6, 6, 6, 6], [6, 6, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [11, 11], [13, 13], [13, 13], [13, 13], [13, 13]]
[[], [11, 11], [6, 6, 6, 6, 6], [6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 11, 11], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6], [], [6, 6, 6]]
[[], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [], [13, 13], [13, 13], [13, 13], [11, 11], []]
[[13], [13], [6, 6, 13], [13], [6, 6, 13], [13], [6, 6, 13], [13], [13], [6, 6, 13], [11, 11], [13], [13], [6, 6, 13], [6, 6, 13]]
[[13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [13], [6, 6, 6, 6], [11, 11], [13], [13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [13], [6, 13], [13], [6, 13], [13], [6, 13], [6, 13], [13], [13], [13], [11, 11], [6, 6, 6], [6, 13], [6, 6, 6], [6, 13], [13]]
[[11], [6, 13], [6, 13], [13], [13], [13], [13], [6, 6, 6], [6, 13], [13], [13], [13], [6, 13], [6, 13], [13], [6, 6, 6], [6, 13], [11]]
[[13], [13], [6, 6, 6], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [13], [13], [13], [6, 13], [13], [11], [6, 13], [13], [11], [6, 13]]
[[13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [13], [13], [13], [11], [6, 6, 6], [13], [11], [13], [13], [13], [13], [13], [6, 6, 6]]
[[13], [11], [13], [13], [6, 6], [13], [6, 11], [6, 6, 6], [], [6, 6, 6], [13], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [13], [13]]
[[13], [6, 6], [6, 6], [13], [13], [11], [13], [6, 6], [13], [11], [6, 6], [6, 6], [13], [13], [13], [13], [13], [13], [6, 6], [13], [13], [13]]
[[13], [13], [13], [11], [13], [13], [13], [11], [13], [6, 6], [13], [13], [13], [13], [13], [13], [6, 6], [], [6, 6], [6, 6], [13], [6, 6], [6, 6]]
[[11], [13], [13], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [], [13], [], [6, 6], [6, 6], [13], [6, 6], [13], [13], [13], [11], [13], [13], [13]]
[[11], [13], [13], [6, 6], [13], [13], [13], [13], [13], [13], [], [13], [13], [13], [11], [6, 6], [6, 6], [], [6, 6], [6, 6], [13], [6, 6], [13], [], [13]]
[[], [11], [6, 6], [13], [13], [13], [11], [6, 6], [13], [6, 6], [13], [13], [], [13], [], [], [13], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [6, 6]]
[[], [13], [13], [13], [11], [6, 6], [13], [6, 6], [6, 6], [13], [13], [6, 6], [11], [13], [], [], [13], [13], [], [6, 6], [13], [13], [], [13], [13], [6, 6], [13]]
[[], [13], [13], [6, 6], [13], [], [], [13], [6, 6], [], [13], [6, 6], [13], [], [13], [13], [11], [6, 6], [13], [13], [13], [6, 6], [11], [13], [13], [], [6, 6], [13]]
-EndAllocation

Instance: [[1], [275], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 6, 6, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [184, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [138, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[4, 7, 7, 8, 9, 9, 10, 10, 12, 12, 13], [5, 6, 6, 6, 6, 6, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[4, 6, 6, 6, 6, 6, 7, 7, 8, 12, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 9, 9, 10, 10, 11, 11]]
[[5, 7, 10, 10], [6, 6, 6, 6, 6, 7, 13, 13, 13, 13], [8, 13, 13, 13, 13, 13, 13], [4, 9, 9, 11, 11, 12, 12]]
[[13, 13, 13, 13, 13], [8, 13, 13, 13, 13, 13], [4, 6, 6, 6, 6, 6, 9, 9, 10, 10], [5, 7, 7, 11, 11, 12, 12], []]
[[7, 7, 13, 13, 13], [9, 9, 10, 10, 11, 11], [8, 12, 12, 13], [6, 6, 6, 6, 6, 13, 13], [4], [5, 13, 13, 13, 13]]
[[10, 13, 13, 13], [10, 13, 13, 13], [4, 6, 7, 7, 9, 13], [5, 9, 12, 12, 13], [8], [11, 11], [6, 6, 6, 6, 13, 13]]
[[13, 13, 13], [6, 7, 7, 10, 10], [8, 12, 12], [4, 13, 13, 13], [6, 6, 6, 6, 11, 11], [], [9, 9, 13], [5, 13, 13, 13]]
[[7, 7, 10, 10], [9, 13, 13], [6, 6, 6, 6, 6, 11], [9, 13], [], [13, 13, 13], [12, 12], [4, 5, 8, 11, 13], [13, 13, 13]]
[[6, 6, 7, 9, 9], [5, 13, 13], [8, 10, 10], [11, 12, 12], [7, 13, 13], [4, 13], [13, 13], [], [6, 6, 6, 13], [11, 13, 13]]
[[6, 11, 11], [13, 13], [7, 7, 13], [13, 13], [6, 13, 13], [8], [4, 9, 9], [5, 10, 10], [12, 12], [6, 6, 6, 13], [13, 13]]
[[13, 13], [10, 10], [6, 6, 6, 6, 6], [5, 7, 7, 11], [13], [13, 13], [9, 9], [8, 12], [13, 13], [11], [12, 13], [4, 13, 13]]
[[6, 8, 11], [13, 13], [], [13], [7, 7], [5, 12, 12], [4, 13], [9, 9, 11], [13, 13], [6, 6, 6, 6], [10, 10], [13, 13], [13, 13]]
[[4, 6, 7, 7], [8, 13], [6, 6, 6, 6], [10, 10], [13], [11, 11], [13, 13], [9, 9], [13, 13], [12, 12], [5], [], [13, 13], [13, 13]]
[[7, 13], [5, 6, 13], [7, 13], [10, 13], [13], [12, 12], [9, 9], [11, 13], [8, 13], [4, 13], [6, 6, 6, 6], [], [], [10, 13], [11, 13]]
[[6, 13], [7, 7], [13], [13], [10, 13], [9, 13], [4, 6, 6, 6], [11, 11], [5, 13], [12, 12], [10, 13], [], [], [6, 13], [8, 13], [9, 13]]
[[4, 6, 7], [13], [8, 13], [13], [13], [6, 12], [9, 9], [13], [11, 11], [7, 13], [5, 13], [12], [10, 10], [13], [13], [6, 6, 6], [13]]
[[13], [7, 13], [4, 13], [13], [11], [5, 11], [13], [13], [6, 6, 6], [13], [9, 9], [6, 6, 7], [10, 10], [13], [12], [12], [13], [8, 13]]
[[6, 12], [13], [7, 13], [13], [6, 13], [8, 11], [6, 6, 6], [10, 10], [9, 9], [12], [13], [7, 13], [4], [5, 11], [13], [], [13], [13], [13]]
[[13], [6, 6], [13], [13], [12], [13], [13], [13], [13], [10], [13], [11], [9, 9], [11], [5, 12], [4, 7, 7], [8, 10], [6, 6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 11], [6, 6], [10], [11], [7, 7], [4, 13], [12], [10], [8, 9], [5, 6, 6], [12], [9], [13], [13], [13]]
[[6, 6], [4, 13], [13], [6, 9], [13], [11], [13], [12], [12], [11], [13], [13], [5, 9], [13], [13], [7, 7], [8], [10], [6, 6], [10], [13], [13]]
[[6, 7], [13], [13], [13], [13], [11], [13], [9], [7, 8], [11], [10], [13], [10], [9], [4, 5], [6, 6], [12], [6, 6], [13], [13], [12], [13], [13]]
[[5, 10], [13], [13], [13], [13], [6, 6], [11], [13], [6, 9], [8], [9], [12], [], [13], [], [7, 7], [10], [6, 6], [13], [11], [4, 12], [13], [13], [13]]
[[13], [13], [13], [13], [6, 6], [13], [13], [7, 7], [6, 8], [13], [11], [], [4, 10], [9], [], [12], [13], [], [12], [5, 9], [6, 6], [11], [10], [13], [13]]
[[9], [6], [13], [4], [6, 6], [13], [5], [7, 7], [12], [13], [13], [13], [10], [11], [11], [6, 6], [13], [13], [9], [10], [], [12], [13], [8], [13], [13]]
[[5, 6], [6, 6], [13], [4], [13], [13], [13], [12], [13], [13], [12], [13], [7, 7], [13], [], [6, 6], [10], [], [9], [8], [9], [11], [], [11], [10], [13], [13]]
[[6, 6], [6, 7], [13], [13], [13], [11], [13], [9], [13], [13], [13], [12], [8], [9], [], [13], [], [6, 6], [12], [5], [10], [], [], [4, 7], [10], [11], [13], [13]]
-EndAllocation

Instance: [[1], [274], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [182, 122, 92, 73, 61, 53, 46, 41, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 18, 18, 17, 16, 16, 14, 14, 14, 13], Opt: [137, 92, 69, 55, 46, 40, 35, 31, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[6, 6, 6, 6, 7, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12]]
[[7, 8, 9, 13, 13, 13, 13, 13, 13], [5, 5, 5, 6, 6, 6, 6, 11, 11, 11, 12, 12, 13, 13], [10, 10, 10, 10, 10]]
[[6, 6, 6, 6, 7, 9, 13], [5, 5, 5, 13, 13, 13, 13, 13], [8, 10, 10, 10, 10, 10, 13, 13], [11, 11, 11, 12, 12]]
[[7, 12, 13, 13, 13, 13], [9, 13, 13, 13, 13], [6, 6, 6, 6, 8], [5, 5, 5, 11, 11, 11], [10, 10, 10, 10, 10, 12]]
[[6, 6, 6, 13, 13, 13], [5, 5, 5, 9, 11, 11, 11], [7, 8, 12, 12], [13], [10, 10, 10, 10, 10], [6, 13, 13, 13, 13]]
[[13, 13, 13, 13], [10, 10, 10, 10, 10], [7, 9, 11, 11, 11], [12, 12, 13, 13], [8], [5, 5, 5], [6, 6, 6, 6, 13, 13]]
[[13, 13, 13], [6, 6, 6, 6, 7, 8], [10, 10, 12, 12], [13, 13, 13], [9, 13, 13], [11, 11, 11], [], [5, 5, 5, 10, 10, 10]]
[[7, 9, 10, 10], [10, 10, 10, 11], [6, 6, 6, 6, 13], [5, 5, 5, 13, 13], [13], [], [13, 13, 13], [8, 12, 12], [11, 11, 13]]
[[6, 6, 6, 7, 12], [5, 5, 5, 13], [8, 11, 11], [13, 13], [10, 10, 12], [10, 10, 10], [9], [13], [6, 13, 13], [11, 13, 13]]
[[13, 13], [10, 11, 11], [7, 8, 13], [10], [6, 6, 6, 13], [10], [9, 10, 13], [5, 5, 5, 10], [6, 12, 12], [11, 13], [13, 13]]
[[13, 13], [6, 10, 10], [6, 6, 6], [7, 13], [9, 13], [5, 5, 5, 11], [8, 11, 11], [], [12, 12], [10, 10, 10], [13, 13], [13, 13]]
[[10, 13], [11], [], [9, 13], [7, 10, 10], [5, 5, 5, 12], [13, 13], [8, 12], [6, 6, 6, 6], [11, 11], [10, 10], [13, 13], [13, 13]]
[[10, 13], [8, 13], [6, 6, 6, 6], [9, 10], [13], [5, 5, 12], [5, 10, 10], [13, 13], [13], [7, 12], [11, 11], [], [10, 11], [13, 13]]
[[10, 10], [5, 5, 5, 10], [9, 13], [13], [13], [11, 11], [8, 10], [12, 12], [7, 13], [13], [6, 6, 6, 6], [13], [], [10, 13], [11, 13]]
[[11, 13], [7, 13], [13], [13], [10, 10], [13], [6, 6, 6, 6], [11, 11], [5, 5, 5], [12, 12], [10, 10], [13], [13], [], [8, 13], [9, 10]]
[[9, 13], [13], [13], [13], [5, 5, 5], [7, 13], [6, 12], [13], [12], [8, 13], [6, 6, 6], [10, 10], [10, 10], [11, 11], [11], [13], [10]]
[[13], [5, 5, 11], [13], [13], [10, 10], [13], [13], [7, 12], [6, 6, 6], [11], [9, 11], [6], [10, 10], [13], [12], [13], [5, 13], [8, 10]]
[[13], [13], [6, 13], [8, 11], [13], [13], [6, 6, 6], [10, 10], [9, 11], [12], [12], [7, 13], [13], [5, 5, 5], [10, 10], [11], [], [13], [10]]
[[13], [10], [13], [13], [6, 12], [6, 11], [6, 12], [13], [13], [10], [13], [11], [9], [11], [5, 5, 5], [7, 10], [8, 10], [6, 10], [13], [13]]
[[13], [5, 13], [13], [13], [5, 11], [13], [13], [13], [9], [6, 10], [6, 6, 6], [12], [10], [10], [7, 8], [5, 10], [11], [11], [12], [13], [10]]
[[7, 10], [13], [13], [13], [13], [10], [12], [13], [12], [11], [11], [10], [5, 5, 5], [6, 6], [13], [8, 9], [11], [13], [6, 6], [10], [13], [10]]
[[6, 7], [13], [13], [13], [10], [11], [13], [12], [6, 6], [10], [13], [8], [11], [10], [13], [5, 5, 5], [12], [9], [10], [13], [11], [13], [6, 10]]
[[10], [13], [13], [13], [13], [6, 6], [12], [13], [9], [10], [8], [12], [11], [5, 5, 5], [13], [7], [10], [6, 6], [13], [10], [11], [13], [11], [10]]
[[13], [13], [5, 9], [13], [6, 6], [13], [13], [7], [8], [10], [11], [13], [10], [12], [], [10], [13], [11], [12], [5, 5], [6, 6], [11], [10], [13], [10]]
[[10], [6, 6], [13], [13], [6, 6], [13], [5, 5], [10], [5], [11], [13], [13], [10], [11], [11], [], [13], [12], [9], [10], [13], [12], [7], [8], [13], [10]]
[[13], [6, 6], [13], [13], [13], [13], [6, 6], [10], [5], [13], [12], [10], [11], [], [13], [12], [10], [7], [9], [8], [], [11], [5, 5], [11], [10], [10], [13]]
[[6, 6], [5, 5], [13], [13], [10], [11], [13], [13], [13], [], [13], [12], [8], [9], [10], [13], [11], [6, 6], [12], [5], [10], [], [], [7], [10], [11], [13], [10]]
-EndAllocation

Instance: [[1], [273], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [182, 121, 92, 73, 61, 52, 46, 41, 37, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [137, 91, 69, 55, 46, 39, 35, 31, 28, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 13, 13, 13]]
[[], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 13], [13, 13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11], [13, 13, 13, 13, 13], [12, 13, 13, 13, 13]]
[[13], [11, 12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13]]
[[], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [12, 13, 13, 13], [11, 13]]
[[], [13, 13, 13], [13, 13, 13], [12, 13, 13], [11, 13, 13], [5, 5, 13, 13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [12], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [11, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 5, 13]]
[[], [11, 13, 13], [5, 5, 13, 13], [13, 13], [13, 13], [12, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [5, 5, 13, 13]]
[[13], [13, 13], [13, 13], [13, 13], [11, 13], [13, 13], [12, 13], [13, 13], [5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [12, 13], [13], [5, 5, 5, 5, 5], [13, 13], [11, 13], [13, 13], [13, 13]]
[[], [13, 13], [5, 5, 5, 12], [13, 13], [11, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 5, 5], [], [13, 13], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 12], [13, 13], [11, 13], [], [13, 13], [], [5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5]]
[[13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [13], [13], [13], [5, 13], [12, 13], [13], [13], [11, 13], [5, 5, 13], [13]]
[[13], [13], [12], [5, 5, 13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [5, 13], [13], [13], [11, 13], [5, 5, 13], [13], [5, 5, 13]]
[[13], [13], [5, 13], [13], [5, 5, 11], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [13], [5, 5, 12], [13], [5, 13]]
[[13], [5, 5, 11], [13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [13], [13], [5, 13], [13], [12], [13], [13], [13], [5, 5, 5, 5]]
[[13], [13], [13], [13], [5, 13], [13], [5, 11], [13], [13], [5, 5, 5, 5], [5, 5, 5, 5], [12], [13], [13], [13], [13], [5, 13], [13], [13]]
[[13], [11], [13], [5, 5, 5], [13], [13], [5, 5, 5], [13], [5, 13], [13], [13], [13], [13], [5, 5, 5], [12], [13], [5, 13], [13], [13], [13]]
[[13], [5, 5, 5], [13], [13], [5, 5, 5], [11], [13], [13], [13], [13], [13], [13], [5, 5], [13], [5, 5, 5], [13], [13], [13], [13], [13], [12]]
[[11], [5, 5, 5], [13], [13], [12], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5], [13], [13], [13], [13], [13], []]
[[13], [13], [12], [13], [5, 11], [13], [13], [], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [13], [], [5], [5, 5, 5]]
[[13], [12], [13], [5, 5, 5], [5, 5, 5], [11], [13], [13], [5, 5], [], [13], [13], [13], [13], [13], [13], [13], [], [13], [5, 5, 5], [13], [13], [13], []]
[[13], [5], [11], [], [5, 5], [13], [13], [12], [13], [13], [5, 5], [13], [13], [5, 5], [13], [13], [13], [13], [13], [13], [5, 5], [13], [13], [], [5, 5]]
[[13], [13], [13], [5, 5], [5, 5], [5, 5], [11], [], [5, 5], [12], [13], [13], [13], [13], [], [], [5], [13], [13], [13], [5, 5], [13], [13], [13], [13], [13]]
[[], [13], [13], [13], [5, 5], [12], [13], [5], [13], [13], [], [], [5, 5], [13], [13], [5, 5], [13], [], [5, 5], [13], [13], [13], [11], [13], [13], [13], [5, 5]]
[[], [], [13], [13], [13], [], [13], [5, 5], [13], [11], [5, 5], [5, 5], [5, 5], [5, 5], [12], [], [5], [13], [13], [13], [13], [13], [13], [], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [272], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[1, 7, 7, 8, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 6, 6, 9, 11, 11, 12, 12, 12, 12]]
[[1, 3, 7, 7, 9, 11, 11], [13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 8, 8, 10, 10, 10, 12, 12, 12, 12]]
[[1, 3, 8, 8, 11, 11, 12, 12, 12, 12], [6, 6, 13, 13, 13, 13, 13, 13], [7, 7, 9], [10, 10, 10, 13, 13, 13]]
[[1, 3, 6, 6, 7, 7, 11, 11], [13, 13, 13, 13, 13], [8, 8, 9, 10], [13, 13, 13, 13], [10, 10, 12, 12, 12, 12]]
[[1, 3, 13, 13, 13, 13], [8, 8, 10, 10, 11, 11], [7, 7, 13, 13], [9], [10, 12, 12, 12, 12], [6, 6, 13, 13, 13]]
[[1, 3, 13, 13, 13], [13, 13, 13, 13], [12, 12, 12, 12], [10, 10, 10, 11, 11], [], [6, 6, 8, 8], [7, 7, 9, 13, 13]]
[[1, 3, 13, 13, 13], [6, 6, 10, 10, 10], [8, 8, 12, 12], [13, 13, 13], [13, 13, 13], [7, 7, 12, 12], [9], [11, 11]]
[[1, 3, 6, 6, 9, 13], [13, 13, 13], [12, 12, 12], [11, 11, 13], [12, 13], [], [13, 13, 13], [7, 7, 8, 8], [10, 10, 10]]
[[3, 6, 6, 7, 7, 8], [1], [12, 12, 12], [12, 13], [10, 10, 11], [], [8, 13, 13], [11, 13, 13], [9, 13, 13], [10, 13, 13]]
[[1, 3, 9, 12], [6, 6, 13], [7, 7, 8, 8], [10, 10, 10], [13, 13], [12], [12, 12], [11, 11], [13, 13], [13, 13], [13, 13]]
[[1, 3, 13, 13], [7, 7, 13], [13, 13], [11, 11], [], [12, 12], [10, 10, 10], [9, 13], [6, 6], [12, 12], [13, 13], [8, 8, 13]]
[[1, 3, 9, 10], [13, 13], [13, 13], [12, 12], [7, 7, 13], [10, 10], [], [8, 8], [6, 6], [11, 11], [12, 12], [13, 13], [13, 13]]
[[1, 3, 13], [7, 7, 11], [12, 12], [8, 8, 9], [], [6, 6], [], [13, 13], [10, 10], [13, 13], [12, 12], [13, 13], [10, 11], [13, 13]]
[[1, 3, 13], [8, 8], [7, 13], [12, 13], [12, 13], [11, 11], [10, 10], [9, 13], [12, 12], [13], [6, 6], [], [13], [10, 13], [7, 13]]
[[1, 3, 6, 6], [7, 13], [8, 13], [13], [10, 12], [13], [8, 12], [13], [13], [12], [13], [13], [10, 10], [7, 13], [9, 12], [11, 11]]
[[1, 3, 13], [6, 12], [7, 13], [8, 13], [13], [], [10, 10], [13], [8, 12], [6, 12], [13], [9, 11], [13], [10, 11], [12], [13], [7, 13]]
[[1, 3, 13], [13], [10, 11], [12], [12], [13], [13], [8, 8], [6, 13], [12], [13], [6, 11], [10, 10], [13], [13], [13], [9, 12], [7, 7]]
[[1, 3, 13], [8, 12], [13], [13], [6, 13], [8, 11], [7, 7], [12], [10, 10], [13], [11], [12], [10], [13], [12], [6, 13], [13], [13], [9]]
[[1, 3, 10], [13], [6, 10], [13], [13], [13], [12], [13], [13], [13], [12], [11], [6, 11], [13], [12], [7, 7], [12], [8, 10], [8, 9], [13]]
[[1, 3, 13], [13], [11], [9], [13], [13], [13], [6, 10], [13], [12], [13], [13], [12], [12], [10], [6, 11], [7, 7], [8, 8], [12], [10], [13]]
[[1, 3, 13], [7, 7], [13], [13], [13], [12], [13], [13], [6, 6], [12], [11], [10], [11], [8, 8], [12], [9], [13], [13], [10], [13], [12], [10]]
[[1, 13], [13], [11], [13], [12], [12], [13], [12], [], [11], [10], [9], [8, 8], [7, 7], [10], [13], [13], [6, 6], [13], [10], [12], [13], [3, 13]]
[[1, 13], [13], [13], [13], [13], [7, 7], [12], [], [10], [12], [8, 8], [9], [], [13], [12], [12], [10], [6, 6], [13], [10], [11], [11], [13], [3, 13]]
[[1, 3, 8], [13], [13], [13], [9], [13], [6, 6], [8], [], [12], [12], [], [10], [12], [10], [11], [12], [13], [13], [13], [10], [7, 7], [11], [13], [13]]
[[1, 3, 10], [8], [13], [13], [13], [8], [], [6, 6], [9], [13], [12], [], [7, 7], [10], [13], [], [12], [12], [13], [10], [12], [11], [11], [13], [13], [13]]
[[1, 13], [6, 6], [13], [13], [13], [12], [13], [13], [12], [3, 10], [13], [], [7, 7], [], [], [12], [10], [], [9], [8], [11], [11], [13], [12], [10], [13], [8]]
[[1, 3, 6], [6, 7], [13], [13], [13], [10], [12], [10], [12], [], [8], [7], [13], [13], [], [12], [13], [], [], [8], [10], [12], [11], [9], [11], [13], [13], [13]]
-EndAllocation

Instance: [[1], [271], 28]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 5, 5, 6, 6, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,28. UB Alg: [181, 121, 90, 73, 61, 52, 45, 41, 37, 33, 30, 28, 26, 25, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [136, 91, 68, 55, 46, 39, 34, 31, 28, 25, 23, 21, 20, 19, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,28:
-StartAllocation
[[3, 5, 5, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 8, 8, 8, 9, 9, 11, 11, 12, 12, 12, 12]]
[[3, 9, 9, 11, 11, 12], [13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 12, 12, 12]]
[[3, 11, 11, 12, 12, 12, 12], [6, 6, 13, 13, 13, 13, 13, 13], [5, 5, 8, 8, 8], [9, 9, 10, 10, 10, 13, 13]]
[[3, 5, 5, 6, 6, 11, 11], [13, 13, 13, 13, 13], [9, 10], [8, 8, 8, 9, 13, 13, 13], [10, 10, 12, 12, 12, 12]]
[[3, 13, 13, 13, 13], [5, 5, 9, 9, 10, 10, 10], [8, 8, 8], [11, 11], [6, 12, 12, 12, 12], [6, 13, 13, 13, 13]]
[[13, 13, 13, 13], [9, 9], [12, 12, 12, 12], [10, 10, 10, 11, 11], [3], [5, 5, 6, 6, 8, 8, 8], [13, 13, 13, 13]]
[[3, 13, 13, 13], [6, 6, 10, 10, 10], [12, 12, 12], [13, 13, 13], [13, 13], [12], [9, 9, 11, 11], [5, 5, 8, 8, 8]]
[[6, 6, 9, 9, 11], [13, 13, 13], [12, 12, 12], [11, 13, 13], [], [3], [13, 13, 13], [8, 8, 8, 12], [5, 5, 10, 10, 10]]
[[3, 6, 6, 8, 8], [5, 5, 13], [12, 12, 12], [11, 13, 13], [10, 10, 10], [12], [13, 13], [8], [9, 9, 13], [11, 13, 13]]
[[3, 12, 12], [13, 13], [10, 10, 10], [13, 13], [9, 9, 13], [12], [5, 5, 12], [11, 11], [6, 6, 13], [13, 13], [8, 8, 8]]
[[3, 13, 13], [13, 13], [13, 13], [11, 11], [], [5, 5, 12], [10, 10, 10], [9, 9], [6, 6, 12], [12, 12], [13, 13], [8, 8, 8]]
[[3, 8, 8, 8], [13, 13], [9, 9], [5, 5, 12], [], [10, 10], [13], [10, 12], [6, 6, 13], [11, 11], [12, 12], [13, 13], [13, 13]]
[[3, 8, 8], [12, 12], [12, 12], [9, 9], [5, 5, 13], [6, 6], [13], [13, 13], [10, 10], [13, 13], [], [10, 13], [11, 11], [8, 13]]
[[3, 13], [8, 8, 8], [13], [13], [12, 12], [11, 11], [10, 10], [9, 13], [5, 5], [13], [6, 6], [13], [12, 13], [10, 13], [9, 12]]
[[3, 9, 9], [13], [13], [10, 10], [12], [6, 6, 10], [8, 13], [13], [13], [13], [11, 11], [12], [12], [8, 13], [8, 13], [5, 5, 12]]
[[3, 13], [6, 13], [6, 13], [8, 13], [9, 12], [5, 5], [10, 10], [], [12], [12], [13], [10, 11], [13], [9, 12], [13], [8, 13], [8, 11]]
[[3, 13], [8, 8], [10, 11], [11], [13], [12], [6, 12], [12], [5, 5], [13], [9, 9], [6, 13], [10, 10], [13], [12], [13], [13], [8, 13]]
[[3, 13], [13], [13], [8, 12], [13], [8, 8], [13], [11], [10, 10], [13], [11], [9, 9], [13], [5, 5], [12], [6, 12], [13], [10], [6, 12]]
[[8, 8], [6, 10], [13], [11], [13], [9, 9], [12], [13], [13], [13], [13], [12], [12], [10], [5, 5], [13], [8, 10], [11], [3, 13], [6, 12]]
[[8, 9], [13], [13], [13], [13], [12], [13], [6, 8], [8, 9], [12], [13], [12], [12], [10], [10], [5, 5], [11], [13], [10], [3, 13], [6, 11]]
[[3, 13], [10], [13], [13], [11], [9], [8], [13], [6, 8], [12], [10], [13], [12], [12], [10], [13], [11], [12], [5, 5, 6], [13], [13], [8, 9]]
[[3, 11], [8, 8], [13], [13], [13], [12], [13], [12], [], [10], [11], [9], [10], [9], [13], [5, 5], [12], [6, 8], [13], [13], [12], [13], [6, 10]]
[[6, 8], [13], [13], [13], [13], [8, 8], [12], [10], [10], [12], [], [], [13], [13], [12], [12], [9], [5, 5], [13], [10], [11], [11], [6, 9], [3, 13]]
[[3, 8], [8], [13], [13], [9], [], [6, 6], [12], [9], [12], [12], [13], [10], [13], [10], [11], [8], [11], [13], [13], [10], [12], [5, 5], [13], [13]]
[[13], [6, 6], [13], [13], [5, 5], [8], [12], [8], [9], [13], [12], [], [], [10], [10], [11], [12], [12], [13], [10], [13], [11], [8], [3, 9], [13], [13]]
[[3, 5], [6, 6], [13], [8], [8], [12], [13], [13], [12], [10], [13], [5], [11], [], [13], [12], [10], [], [9], [8], [9], [11], [13], [12], [10], [13], [13]]
[[6, 6], [8], [13], [13], [8], [10], [12], [10], [9], [], [12], [10], [13], [13], [], [12], [13], [5, 5], [], [], [13], [12], [13], [3, 8], [11], [11], [13], [9]]
-EndAllocation

Instance: [[1], [290], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13]]
[[5, 5, 5, 5, 5, 5, 5], [5, 5, 13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13]]
[[11, 11], [10, 13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13]]
[[13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [13, 13, 13, 13, 13], [10, 11, 11, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [11, 11, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10], [13, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [5, 5, 5, 5, 5], [5, 10, 13, 13, 13], [13, 13, 13, 13], [5, 5, 5, 5, 11, 11, 13], [13, 13, 13, 13]]
[[], [11, 11, 13, 13], [13, 13, 13], [13, 13, 13], [5, 10, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [5, 13, 13, 13], [13], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [10, 13, 13], [11, 11, 13], [13, 13, 13]]
[[13, 13], [13, 13], [13, 13], [11, 13, 13], [13, 13], [10, 11, 13], [13, 13], [5, 5, 5, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13]]
[[], [11, 11, 13], [13, 13], [13, 13], [10, 13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 13], [13, 13], [13, 13]]
[[], [5, 13, 13], [10, 11, 11], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [], [5, 13, 13], [5, 13, 13], [5, 13, 13]]
[[], [13, 13], [5, 5, 5, 5, 10], [13, 13], [13, 13], [], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [13, 13], [11, 11], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [10], [13, 13], [], [13, 13], [13, 13], [5, 5, 5, 5, 5], [11, 11]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [], [], [13, 13], [13, 13], [5, 5, 5, 5, 5], [11, 11], [13, 13], [10]]
[[13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [11, 13], [5, 5, 13], [13], [10, 13], [13], [13], [11, 13], [13], [13], [13]]
[[13], [11, 11], [13], [5, 5, 13], [5, 5, 13], [13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [13], [13], [10, 13], [5, 5, 13], [13], [13]]
[[13], [13], [13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [13], [13], [13], [11, 11], [5, 13], [5, 13], [5, 5, 10], [5, 13], [13]]
[[13], [5, 13], [13], [13], [13], [5, 5, 11], [13], [5, 13], [5, 13], [13], [13], [13], [13], [13], [10, 11], [5, 5, 5, 5], [13], [13], [5, 13]]
[[11], [5, 13], [5, 13], [13], [5, 13], [10], [13], [13], [13], [13], [5, 13], [5, 5, 5, 5], [13], [13], [11], [13], [13], [13], [5, 13], [5, 13]]
[[13], [11], [13], [13], [5, 10], [13], [13], [5, 11], [5, 5, 5], [13], [13], [5, 13], [5, 5, 5], [13], [5, 13], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [5, 5], [13], [13], [13], [5, 13], [13], [10], [11], [13], [13], [5, 13], [5, 5, 5], [13], [13], [5, 5, 5], [11], [13]]
[[13], [13], [13], [10], [11], [13], [13], [5, 5, 5], [13], [11], [13], [5, 5, 5], [13], [13], [13], [13], [13], [13], [5], [13], [13], [13], [5, 5, 5]]
[[13], [13], [11], [13], [13], [11], [13], [13], [13], [13], [5, 5, 5], [13], [], [13], [13], [13], [], [13], [5, 5, 5], [5, 5, 5], [5, 10], [13], [13], [13]]
[[13], [13], [13], [13], [5, 11], [13], [13], [5, 5, 5], [13], [11], [5, 5, 5], [], [10], [13], [13], [], [13], [13], [], [13], [13], [13], [13], [5, 5, 5], [13]]
[[13], [13], [13], [13], [13], [5, 10], [11], [5, 5, 5], [5, 5, 5], [13], [], [13], [13], [13], [13], [13], [11], [13], [5, 5, 5], [], [13], [], [13], [13], [13], []]
[[], [13], [13], [], [10], [13], [5, 5], [13], [13], [5, 5], [13], [5, 5], [13], [11], [13], [13], [13], [13], [], [13], [13], [13], [11], [13], [5, 5], [13], [5, 5]]
[[13], [13], [13], [], [13], [13], [5, 5], [13], [5, 5], [13], [5, 5], [13], [13], [5, 5], [13], [11], [13], [], [11], [13], [], [13], [13], [13], [], [13], [10], [5, 5]]
[[13], [5, 5], [13], [13], [13], [5, 5], [], [13], [5, 5], [13], [], [11], [10], [11], [13], [13], [13], [13], [5, 5], [], [13], [13], [], [13], [13], [13], [13], [], [5, 5]]
-EndAllocation

Instance: [[1], [289], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [193, 129, 97, 77, 65, 56, 49, 44, 38, 36, 33, 30, 28, 26, 25, 22, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 13], Opt: [145, 97, 73, 58, 49, 42, 37, 33, 29, 27, 25, 23, 21, 20, 19, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[8, 13, 13, 13, 13, 13, 13, 13], [4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 9, 9, 10, 11, 11, 12, 12, 13, 13, 13, 13]]
[[13, 13, 13], [4, 5, 6, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13], [7, 7, 7, 7, 7, 7, 7, 13, 13, 13, 13, 13, 13]]
[[13], [4, 6, 7, 7, 7, 7, 7, 7, 7, 11, 11, 13], [5, 9, 9, 12, 12, 13, 13, 13], [8, 10, 13, 13, 13, 13, 13, 13]]
[[], [5, 9, 9, 12, 12, 13, 13], [4, 6, 13, 13, 13, 13, 13], [7, 10, 13, 13, 13, 13], [7, 7, 7, 7, 7, 7, 8, 11, 11]]
[[], [7, 7, 7, 7, 7, 7, 7, 11], [4, 6, 9, 10, 11, 12, 12], [9, 13, 13], [13, 13, 13, 13, 13], [5, 8, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [8, 13, 13, 13], [7, 11, 13, 13], [4, 5, 6, 10, 13, 13], [7, 7, 7, 7, 7, 7, 11], [9, 9, 12, 12]]
[[], [10, 11, 11], [5, 9, 9, 13, 13], [7, 7, 7, 7, 7, 7, 7], [13, 13, 13], [13, 13, 13], [4, 12, 13, 13], [6, 8, 12, 13]]
[[], [11, 13, 13], [13], [13, 13, 13], [12, 12, 13], [5, 6, 9, 9, 10], [13, 13, 13], [7, 7, 7, 7, 7, 7], [4, 7, 8, 11, 13]]
[[], [4, 9, 11, 13], [13, 13], [5, 7, 7, 13], [8, 13, 13], [11, 13, 13], [6, 13, 13], [9, 10, 13], [7, 7, 7, 7, 7], [12, 12]]
[[], [6, 8, 11], [13, 13], [7, 13, 13], [10, 13, 13], [13, 13], [5, 7, 12, 12], [13, 13], [4, 9, 9, 11], [7, 7, 7, 7, 7], [13]]
[[13], [11, 11], [13, 13], [13, 13], [12, 12], [8, 13], [5, 6, 9, 9], [7, 7, 7, 7], [10, 13], [13, 13], [13, 13], [4, 7, 7, 7]]
[[], [13, 13], [6, 7, 7, 7], [13, 13], [7, 7, 7, 7], [13, 13], [8, 13], [13, 13], [12, 12], [11, 11], [10, 13], [5, 13], [4, 9, 9]]
[[], [4, 7, 11], [], [6, 13], [7, 7, 7, 7], [13, 13], [13, 13], [13, 13], [10, 13], [8, 9, 9], [5, 7, 11], [12, 12], [7, 13], [13, 13]]
[[], [], [7, 7, 7], [5, 13], [6, 13], [4, 13], [13, 13], [11, 11], [13, 13], [7, 7, 7], [12, 12], [8, 10], [13, 13], [13, 13], [7, 9, 9]]
[[13], [11, 11], [7, 13], [6, 12], [12, 13], [7, 13], [13], [5, 8], [7, 13], [4, 9, 9], [7, 13], [13], [13], [13], [7, 7, 10], [7, 13]]
[[13], [13], [9, 13], [13], [9, 13], [10, 11], [13], [5, 13], [4, 13], [11], [13], [13], [7, 7, 7], [8, 13], [6, 12], [7, 7, 7], [7, 12]]
[[12], [7, 12], [13], [13], [8, 13], [11, 11], [6, 13], [13], [13], [7, 7, 7], [7, 7, 7], [9, 9], [13], [13], [4, 13], [13], [10], [5, 13]]
[[13], [13], [7, 7, 7], [5, 11], [12], [11], [13], [13], [10], [7, 13], [13], [4, 13], [8, 13], [9, 9], [13], [7, 7, 7], [13], [6, 13], [12]]
[[13], [12], [4, 13], [13], [6, 9], [13], [13], [7, 7], [11], [7, 13], [9, 10], [5, 7, 7], [13], [7, 7], [13], [8, 12], [13], [11], [13], [13]]
[[12], [6, 8], [13], [7, 7], [7, 7], [13], [7, 10], [13], [13], [13], [5, 13], [13], [13], [9, 9], [12], [13], [4, 13], [11], [13], [11], [7, 7]]
[[13], [7, 11], [7, 7], [13], [13], [13], [13], [12], [7, 8], [7, 7], [5, 7], [9, 9], [6, 11], [12], [4, 10], [13], [13], [13], [], [13], [13], [13]]
[[13], [13], [13], [13], [7, 9], [7, 7], [13], [5, 12], [8], [12], [6], [13], [13], [10], [9], [13], [7, 7], [4, 11], [13], [11], [7, 7], [13], [13]]
[[13], [12], [11], [12], [6, 11], [13], [13], [13], [13], [7, 9], [7, 7], [9], [], [13], [13], [10], [5], [7, 7], [13], [13], [13], [7, 7], [8], [4, 13]]
[[13], [11], [5, 9], [13], [11], [7, 7], [13], [13], [13], [7], [10], [13], [13], [13], [7, 8], [4, 12], [], [12], [7, 7], [13], [7, 9], [13], [13], [], [6]]
[[11], [13], [13], [12], [13], [8], [7, 9], [12], [7], [6], [], [13], [13], [13], [13], [7, 9], [7, 7], [13], [10], [13], [11], [5], [13], [13], [7, 7], [4]]
[[9], [4, 7], [13], [10], [7, 7], [13], [13], [13], [5, 9], [8], [], [6], [12], [13], [13], [13], [7, 7], [], [11], [7, 7], [12], [13], [13], [13], [13], [11], []]
[[], [], [13], [13], [11], [13], [7, 7], [12], [13], [9], [13], [7], [13], [10], [7, 7], [6], [13], [13], [12], [8], [7, 7], [13], [4], [11], [9], [13], [13], [5]]
[[10], [9], [7], [4], [13], [], [5, 8], [7], [13], [7], [13], [13], [6, 7], [7], [7], [9], [12], [13], [11], [13], [13], [13], [13], [11], [7], [13], [12], [], [13]]
-EndAllocation

Instance: [[1], [288], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [192, 128, 96, 77, 64, 56, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13], Opt: [144, 96, 72, 58, 48, 42, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13], [6, 6, 6, 10, 10, 10, 12, 12, 12, 12]]
[[6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10], [6, 11, 11, 11], [12, 12, 12, 12, 13, 13, 13, 13, 13, 13]]
[[7, 7, 7, 9, 10, 10, 10, 12, 12], [13, 13, 13, 13, 13, 13], [6, 6, 6, 8, 8, 8, 9, 9, 9], [11, 11, 11, 12, 12]]
[[7, 7, 7, 9, 9, 9, 9, 13], [6, 6, 13, 13, 13, 13, 13], [12, 12, 12, 12], [10, 10, 10, 11, 11, 11], [6, 8, 8, 8]]
[[7, 9, 13, 13, 13], [6, 6, 12, 12, 12, 12], [9, 9, 9], [10, 10, 10], [6, 8, 8, 8, 11, 11, 11], [7, 7, 13, 13, 13]]
[[7, 9, 13, 13], [10, 10, 10], [13, 13, 13, 13], [9, 9, 9], [12, 12, 12, 12], [6, 6, 6, 8, 8, 8], [7, 7, 11, 11, 11]]
[[6, 6, 6, 10, 10, 10], [13, 13, 13], [13, 13], [7, 7, 7], [9, 9, 9, 13], [12, 12, 12, 12], [8, 8, 8], [9, 11, 11, 11]]
[[7, 9, 13, 13], [11, 11, 11], [], [10, 10, 10], [6, 6, 7, 7, 13], [12, 12, 12], [6, 8, 8, 8], [9, 9, 9, 12], [13, 13, 13]]
[[12, 12, 12], [7, 10, 10, 10], [12, 13, 13], [7, 7, 11, 11], [9, 9, 9], [], [6, 8, 8, 8], [13], [6, 6, 13, 13], [9, 11, 13]]
[[7, 9, 13], [11, 11, 11], [8, 8, 8, 12], [10, 10, 10], [7, 7, 13], [9, 9, 9], [], [12, 12, 12], [6, 6, 6], [13, 13], [13, 13]]
[[7, 9, 11], [10, 10, 10], [11], [12, 12], [9, 9, 9], [12, 12], [8, 8, 8], [7, 7], [13, 13], [6, 6, 6, 11], [13, 13], [13, 13]]
[[7, 9], [], [10, 10, 10], [], [7, 11, 12], [7, 11, 11], [13, 13], [9, 9, 9], [6, 6, 6, 12], [8, 8, 8], [12, 12], [13, 13], [13, 13]]
[[9, 13], [13, 13], [9, 9, 9], [10, 10], [12, 12], [8, 8, 8], [7, 7, 7], [], [11, 11], [12, 12], [6, 6, 6], [10, 11], [13, 13], [13]]
[[9, 13], [9, 9], [8, 8, 8], [11], [12, 12], [10, 10], [10, 13], [12, 12], [11, 11], [6, 6, 6], [7, 7, 7], [], [9], [13, 13], [13, 13]]
[[8, 13], [11, 13], [8, 13], [8, 12], [13], [10, 10], [7, 7, 7], [6, 6, 6], [], [11, 11], [12, 12], [9, 9], [9, 12], [13], [10, 13], [9]]
[[6, 6, 6], [12], [13], [8, 13], [13], [11, 11], [10, 10], [10], [9, 12], [7, 13], [8, 12], [9, 9], [7, 12], [11], [13], [8, 13], [7, 9]]
[[8, 13], [13], [13], [10, 11], [11], [13], [9, 12], [12], [9, 9], [13], [11], [7, 7], [10, 10], [7, 12], [6, 6, 6], [8, 13], [12], [8, 9]]
[[7, 12], [13], [13], [10, 11], [7, 12], [7, 13], [13], [9, 9], [8, 8], [11], [9, 11], [], [12], [8, 13], [10, 10], [13], [6, 6, 6], [], [9, 12]]
[[6, 6, 6], [7, 10], [13], [13], [11], [9, 9], [12], [13], [11], [10, 10], [8, 8], [12], [13], [8, 12], [12], [13], [13], [7, 7], [9, 11], [9]]
[[6, 6, 6], [7, 10], [12], [13], [8, 8], [13], [13], [11], [7, 11], [12], [13], [13], [12], [13], [10], [11], [9], [9, 9], [12], [7, 9], [8, 10]]
[[13], [13], [6, 10], [13], [13], [12], [12], [7, 11], [7, 8], [10], [9], [13], [8, 8], [9], [12], [12], [6, 9], [7, 9], [13], [11], [6, 11], [10]]
[[6, 6], [12], [11], [13], [13], [12], [13], [13], [13], [11], [6, 10], [10], [7, 7], [8, 8], [10], [9], [12], [8, 9], [12], [9], [11], [13], [7, 9]]
[[7, 8], [11], [13], [13], [13], [13], [12], [13], [9], [6, 6], [12], [10], [11], [10], [], [6, 10], [9], [12], [11], [12], [8, 8], [7, 9], [13], [7, 9]]
[[13], [13], [13], [13], [12], [11], [10], [13], [12], [10], [9], [9], [], [6, 8], [9], [10], [12], [12], [11], [8, 8], [7, 7], [11], [6, 6], [13], [7, 9]]
[[7, 8], [13], [13], [13], [6, 6], [11], [7, 7], [12], [9], [13], [12], [], [8, 8], [10], [10], [], [12], [12], [13], [6, 9], [11], [11], [10], [9], [13], [9]]
[[12], [11], [13], [13], [13], [7], [12], [10], [7, 7], [11], [13], [6, 6], [8], [10], [], [13], [12], [8], [10], [9], [9], [12], [11], [9], [6, 8], [13], [9]]
[[6, 8], [13], [13], [13], [12], [10], [8], [12], [10], [10], [13], [6, 6], [9], [11], [9], [], [8], [7, 7], [13], [], [12], [13], [9], [12], [11], [11], [9], [7]]
[[10], [8], [13], [13], [13], [9], [9], [11], [6, 6], [12], [6, 7], [13], [12], [10], [8], [], [11], [], [10], [13], [12], [12], [7], [9], [11], [8], [7], [13], [9]]
-EndAllocation

Instance: [[1], [287], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [192, 128, 96, 77, 64, 54, 48, 42, 38, 36, 32, 30, 28, 26, 24, 22, 21, 21, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13], Opt: [144, 96, 72, 58, 48, 41, 36, 32, 29, 27, 24, 23, 21, 20, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 13, 13]]
[[13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13], [10, 10, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10], [13, 13, 13, 13, 13], [6, 6, 6, 13, 13, 13, 13]]
[[], [10, 13, 13, 13, 13], [6, 6, 13, 13, 13, 13], [10, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [6, 6, 6, 10, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 13]]
[[], [6, 6, 6, 6, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 13, 13], [13, 13, 13], [13, 13, 13]]
[[], [13, 13, 13], [6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [13, 13, 13], [10, 10, 13], [6, 6, 6, 6, 6, 6, 6], [13, 13]]
[[13, 13], [13, 13], [13, 13], [10, 10, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [13, 13]]
[[13], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 10, 10], [13, 13], [13, 13]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [10, 10], [13, 13], [13, 13], [6, 6, 13], [6, 6, 6, 6, 6], [13, 13], [6, 6, 6, 6, 6]]
[[], [13], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6], [6, 6, 6, 6, 6], [13, 13], [13, 13], [10, 10], [6, 6, 6, 6, 6], [13, 13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [6, 10, 10], [13, 13], [], [6, 6, 6], [13, 13], [13, 13], [13], [6, 6, 6, 6]]
[[], [10, 10], [13, 13], [6, 6, 6, 6], [13, 13], [13], [], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6]]
[[13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [10, 10], [6, 13], [6, 13], [13], [6, 13], [6, 13], [6, 13]]
[[13], [13], [13], [6, 6, 6], [6, 13], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13], [10, 10], [6, 13]]
[[13], [6, 13], [10, 10], [6, 13], [13], [13], [13], [6, 13], [6, 13], [13], [6, 13], [13], [13], [6, 13], [6, 6, 6], [13], [6, 6, 6], [13]]
[[13], [13], [13], [13], [13], [6, 13], [10, 10], [13], [13], [6, 6, 6], [13], [6, 13], [6, 13], [13], [6, 6, 6], [13], [13], [6, 6, 6], [13]]
[[13], [6, 6, 6], [13], [13], [13], [13], [6, 6, 6], [10, 10], [13], [13], [13], [6, 6], [13], [13], [6, 13], [6, 6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [6, 6, 6], [10], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [10], [13], [13], [6, 6, 6], [13], [6, 6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [6, 6], [6, 6, 6], [13], [13], [6, 6, 6], [13], [6, 10], [13], [10], [13], [13], [13], [6, 6, 6], [], [13]]
[[13], [6, 6], [13], [13], [6, 6], [13], [], [13], [6, 10], [13], [6, 6], [6, 6], [13], [13], [13], [13], [13], [6, 6], [13], [6, 10], [13], [13], [13]]
[[13], [6, 6], [], [6, 10], [6, 6], [13], [6, 10], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [], [13], [13], [13], [13], [13], [13], [13], [6, 6]]
[[13], [6, 6], [], [13], [6, 10], [13], [6, 6], [13], [6, 6], [13], [], [13], [13], [13], [13], [13], [6, 10], [13], [6, 6], [13], [13], [6, 6], [13], [13], []]
[[13], [13], [13], [13], [10], [], [13], [6, 6], [13], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [10], [], [13], [], [6, 6], [13], [6, 6], [13], [13], [13]]
[[13], [], [], [6, 6], [6, 6], [13], [13], [], [13], [13], [10], [13], [6, 6], [13], [13], [13], [], [13], [13], [13], [13], [6, 6], [6, 6], [10], [13], [6, 6], [13]]
[[13], [], [], [13], [10], [], [10], [6, 6], [13], [13], [6, 6], [13], [13], [], [13], [6, 6], [13], [13], [13], [6, 6], [], [6, 6], [13], [13], [6, 6], [13], [13], [13]]
[[13], [13], [13], [], [13], [6, 6], [], [13], [13], [], [6, 6], [10], [], [], [13], [13], [13], [10], [6, 6], [13], [13], [13], [13], [13], [6, 6], [6, 6], [13], [], [6, 6]]
-EndAllocation

Instance: [[1], [286], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 4, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [190, 128, 96, 77, 64, 54, 48, 42, 38, 34, 32, 29, 28, 26, 24, 22, 21, 21, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [143, 96, 72, 58, 48, 41, 36, 32, 29, 26, 24, 22, 21, 20, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[8, 8, 9, 9, 9, 10, 10, 12, 12, 12], [4, 4, 6, 6, 6, 7, 7, 10, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13]]
[[8, 8, 11, 11, 11, 13, 13, 13, 13, 13, 13], [6, 6, 6, 7, 7, 9, 9, 9, 10, 10, 10, 12, 12, 12], [4, 4, 13, 13]]
[[10, 10, 10, 11, 11, 11], [6, 6, 6, 12, 12, 12, 13, 13, 13], [4, 4, 13, 13], [7, 7, 8, 8, 9, 9, 9, 13, 13, 13]]
[[4, 4, 8, 8, 11, 11, 11, 13], [6, 6, 6, 13, 13, 13, 13], [9, 9, 9, 12, 12, 13, 13], [7, 7, 13], [10, 10, 10, 12]]
[[6, 6, 6, 8, 8, 13, 13], [7, 7, 13, 13], [10, 10], [9, 9, 9, 11, 11, 11], [4, 4, 12, 12, 12], [10, 13, 13, 13, 13]]
[[13, 13, 13, 13], [11, 11, 11, 13], [8, 13, 13, 13], [6, 6, 6, 9, 9, 9], [4, 4], [8, 12, 12, 12], [7, 7, 10, 10, 10]]
[[13, 13, 13], [12, 12, 12], [8, 13, 13, 13], [4, 4, 6, 6, 6, 13], [7, 7, 9, 9, 9], [8, 11, 11, 11], [], [10, 10, 10, 13]]
[[10, 13, 13], [13, 13, 13], [6, 6, 6], [7, 7, 13, 13], [], [12, 12, 12], [8, 9, 9, 9], [8, 11, 11, 11], [4, 4, 10, 10, 13]]
[[7], [8, 8, 13], [6, 11, 13], [10, 10, 10], [9, 9, 9, 11], [12, 12, 12], [7, 13, 13], [13], [4, 4, 6, 6, 13], [11, 13, 13]]
[[11, 13], [10, 10, 10], [6, 6, 6, 13], [12, 12], [13], [9, 9, 9], [7, 7, 12], [4, 4, 11, 11], [13, 13], [8, 8, 13], [13, 13]]
[[9, 9, 13], [13, 13], [4, 4, 10, 10], [11, 11], [8, 8, 12], [6, 6, 6, 11], [10, 13], [7, 7, 13], [12, 12], [], [9, 13], [13, 13]]
[[13, 13], [13], [9, 11], [4, 9, 11], [8, 8, 12], [12, 12], [6, 6, 6, 11], [7, 7, 10], [4, 13], [9, 10, 10], [], [13, 13], [13, 13]]
[[6, 6, 6, 7], [13, 13], [9, 11], [7, 10, 10], [10, 11], [9, 12], [8, 8, 11], [4, 4], [12, 12], [13, 13], [], [9], [13, 13], [13, 13]]
[[11, 11], [13, 13], [8, 8], [], [12, 12], [9, 10], [9], [13, 13], [7, 7, 10], [10, 12], [4, 4, 6, 6, 6], [11], [9], [13, 13], [13, 13]]
[[9, 9], [11, 13], [9, 13], [11, 13], [10, 13], [10, 10], [7, 7], [4, 4, 6, 6], [6, 12], [11, 13], [], [8, 8], [13], [12, 12], [13], [13]]
[[7, 13], [8, 13], [13], [8, 12], [13], [10, 10], [7, 13], [9, 9], [9, 11], [6, 6, 6], [13], [4, 4, 12], [10], [11, 11], [13], [13], [12]]
[[12], [9, 11], [10, 10], [13], [6, 6], [13], [13], [4, 4, 11], [7, 13], [10, 11], [9, 9], [7, 13], [12], [13], [6, 12], [13], [13], [8, 8]]
[[7, 13], [12], [13], [13], [9, 10], [9, 9], [7, 13], [12], [4, 4, 11], [10, 10], [12], [11], [13], [11], [8, 8], [13], [6, 6, 6], [13], [13]]
[[10], [4, 13], [11], [11], [13], [7, 13], [9], [8, 9], [12], [12], [13], [13], [11], [13], [10, 10], [7, 13], [4, 13], [6, 6, 6], [9], [8, 12]]
[[11], [12], [13], [13], [9, 9], [10], [13], [7, 7], [12], [13], [8, 10], [4, 13], [4, 11], [10], [11], [6, 6, 6], [12], [8, 9], [13], [13], [13]]
[[4, 12], [6, 10], [13], [13], [13], [11], [13], [4, 13], [7, 7], [13], [12], [12], [9], [6, 11], [13], [11], [9], [10], [6, 9], [10], [13], [8, 8]]
[[6, 11], [13], [13], [13], [10], [6, 9], [10], [13], [13], [13], [10], [12], [8], [9], [4, 12], [12], [13], [6, 11], [9], [4, 11], [7, 7], [13], [8]]
[[13], [9], [13], [10], [12], [13], [12], [7, 7], [6, 8], [11], [13], [4, 4], [9], [8], [11], [6, 10], [13], [10], [12], [13], [6, 9], [11], [13], [13]]
[[13], [13], [9], [13], [6], [13], [10], [4, 11], [12], [], [13], [8, 8], [9], [12], [9], [10], [11], [12], [10], [13], [7, 7], [4, 11], [6, 6], [13], [13]]
[[4, 9], [13], [6], [13], [13], [9], [10], [7, 7], [12], [4, 8], [13], [11], [13], [11], [11], [6, 6], [13], [12], [10], [10], [8], [12], [9], [], [13], [13]]
[[13], [6, 6], [13], [4], [13], [8], [10], [12], [7, 7], [11], [9], [6], [12], [10], [13], [13], [11], [8], [10], [9], [4, 9], [12], [], [11], [13], [13], [13]]
[[8], [11], [13], [13], [13], [4, 4], [12], [13], [10], [10], [13], [6, 6], [9], [11], [9], [11], [12], [7], [13], [6], [7], [], [9], [8], [10], [12], [13], [13]]
[[4, 4], [7], [13], [13], [13], [9], [9], [11], [10], [11], [8], [13], [12], [10], [9], [], [13], [13], [12], [12], [6, 6], [10], [13], [11], [7], [], [8], [6], [13]]
-EndAllocation

Instance: [[1], [285], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [190, 126, 96, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [143, 95, 72, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[3, 7, 7, 7, 8, 8, 11, 11, 11, 12, 12, 12], [6, 6, 6, 6, 9, 9, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13]]
[[3, 6, 6, 6, 6, 7, 7, 7, 11, 11, 11], [10, 10, 13, 13, 13, 13, 13, 13, 13, 13], [8, 8, 9, 9, 10, 12, 12, 12]]
[[3, 8, 8, 12, 12, 12], [10, 10, 10, 13], [6, 6, 6, 6, 7, 7, 7, 9, 9, 11, 11, 11], [13, 13, 13, 13, 13, 13, 13]]
[[3, 7, 7, 7, 8, 8, 9, 9], [6, 6, 6, 6, 13, 13, 13], [13, 13, 13, 13, 13], [11, 11, 11], [10, 10, 10, 12, 12, 12]]
[[3, 13, 13, 13, 13], [10, 10, 10, 11, 11, 11], [6, 6, 6, 6, 7, 7, 7, 9, 9], [8, 8], [12, 12, 12], [13, 13, 13, 13]]
[[3, 13, 13, 13], [13, 13, 13, 13], [6, 6, 6, 6, 10, 10, 10], [9, 9], [8, 8], [12, 12, 12, 13], [7, 7, 7, 11, 11, 11]]
[[3, 11, 13, 13], [6, 6, 6, 6, 7, 7, 7], [13, 13, 13], [8, 8], [9, 9, 11, 11], [12, 12, 12], [13, 13, 13], [10, 10, 10]]
[[3, 9, 9, 10, 10], [13, 13, 13], [11, 11, 11], [7, 7, 13, 13], [8, 8], [13, 13, 13], [], [12, 12, 12], [6, 6, 6, 6, 7, 10]]
[[3, 10, 10], [8, 8, 12], [9, 9, 13], [7, 7, 7, 10], [13, 13], [11, 11, 11], [6, 6, 6, 6, 12], [13], [12, 13, 13], [13, 13]]
[[3, 13, 13], [11, 11, 11], [6, 6, 6, 6], [10, 10, 10], [8, 8, 12], [9, 12, 12], [13, 13], [], [7, 7, 7, 9], [13, 13], [13, 13]]
[[3, 13, 13], [7, 7, 7], [6, 6, 6, 6], [11, 11], [8, 8, 9], [12, 12], [13, 13], [], [10, 10, 10], [13, 13], [13, 13], [9, 11, 12]]
[[3, 9, 9], [13, 13], [11, 11], [], [8, 8, 13], [12, 12], [6, 6, 6, 6], [10, 10], [13, 13], [7, 7, 7], [10, 12], [13, 13], [11, 13]]
[[3, 11], [], [9, 9, 10], [13, 13], [10, 10], [8, 8, 12], [7, 7, 7], [13, 13], [11, 11], [12, 12], [6, 6, 6, 6], [], [13, 13], [13, 13]]
[[3, 10, 11], [9, 13], [8, 13], [13], [13], [7, 7, 7], [12, 12], [12, 13], [9, 10], [], [6, 6, 6, 6], [13], [8, 10], [11, 13], [11, 13]]
[[11, 13], [11, 13], [13], [12], [10, 13], [13], [8, 8], [7, 7, 7], [10, 10], [12, 12], [], [9, 9], [6, 6, 6, 6], [13], [11, 13], [3, 13]]
[[3, 13], [8, 11], [12], [9, 13], [13], [13], [9, 10], [12], [11, 11], [7, 7, 7], [6, 6, 6], [13], [10, 10], [13], [12], [6, 13], [8, 13]]
[[3, 12], [13], [11], [13], [8, 12], [], [8, 13], [6, 13], [6, 11], [11], [10, 10], [7, 7, 7], [9, 10], [13], [9, 12], [6, 13], [13], [6, 13]]
[[3, 12], [13], [7, 13], [12], [6, 6, 6], [9, 9], [7, 7], [12], [10, 10], [13], [11], [13], [13], [13], [8, 10], [13], [6, 11], [13], [8, 11]]
[[3, 13], [13], [13], [13], [8, 12], [12], [10], [10, 10], [], [8, 11], [9, 9], [13], [], [11], [6, 6, 6], [6, 12], [7, 13], [7, 11], [13], [7, 13]]
[[7, 10], [11], [13], [13], [9, 9], [8, 10], [8, 10], [7, 7], [12], [13], [11], [], [13], [13], [11], [6, 6, 6], [13], [13], [12], [3, 13], [6, 12]]
[[3, 13], [13], [13], [11], [6, 6], [12], [8, 8], [13], [7, 7], [13], [12], [11], [9], [13], [11], [12], [10], [13], [6, 9], [7, 10], [13], [6, 10]]
[[3, 12], [13], [13], [13], [10], [8, 8], [11], [13], [13], [10], [11], [9], [10], [7, 7], [11], [6, 6], [7, 9], [6, 6], [13], [12], [12], [13], [13]]
[[3, 13], [13], [13], [13], [7], [9], [], [8, 8], [7, 7], [12], [13], [11], [11], [6, 10], [10], [6, 6], [6, 10], [12], [12], [11], [9], [13], [13], [13]]
[[3, 12], [13], [13], [13], [6, 6], [13], [], [6, 6], [13], [11], [10], [9], [], [8, 8], [7, 9], [11], [10], [11], [12], [13], [7, 7], [12], [10], [13], [13]]
[[3, 11], [13], [13], [13], [13], [7], [10], [7, 7], [12], [8], [13], [], [10], [11], [11], [6, 6], [13], [12], [9], [10], [13], [6, 6], [12], [8], [13], [9]]
[[3, 8], [6, 6], [13], [13], [13], [13], [10], [12], [7, 7], [11], [], [6, 6], [12], [10], [7], [13], [11], [8], [], [9], [9], [12], [13], [11], [10], [13], [13]]
[[6, 6], [13], [13], [13], [10], [12], [], [13], [10], [10], [13], [12], [9], [7], [], [], [12], [7, 7], [13], [6, 6], [11], [8], [9], [8], [11], [3, 11], [13], [13]]
[[3, 7], [13], [13], [13], [13], [9], [6, 6], [11], [], [11], [8], [13], [12], [10], [9], [], [12], [], [11], [10], [6, 6], [13], [7], [8], [12], [10], [7], [13], [13]]
-EndAllocation

Instance: [[1], [284], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[11, 11, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[11, 11, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 13], [12, 13, 13, 13, 13, 13, 13]]
[[13], [11, 11, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [12, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [5, 5, 13, 13, 13, 13], [13, 13, 13, 13], [11, 11, 12, 13, 13]]
[[], [12, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [5, 13, 13, 13], [11, 11, 13]]
[[], [13, 13, 13], [11, 11, 13, 13], [13, 13, 13], [13, 13, 13], [12, 13, 13], [5, 5, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 13, 13], [13, 13, 13], [13, 13], [11, 11], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [12, 13, 13]]
[[], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [11, 13, 13], [12, 13, 13], [11, 13, 13], [5, 5, 5, 5, 13], [13, 13]]
[[], [13, 13], [13, 13], [5, 13, 13], [5, 13, 13], [13, 13], [13, 13], [5, 5, 11, 11], [12, 13], [5, 5, 5, 5, 5, 5], [5, 13, 13]]
[[], [13, 13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5, 5], [12, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [11, 11]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [12, 13], [5, 5, 5, 5, 5], [5, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [11, 11], [13]]
[[], [5, 5, 5, 5, 5], [13, 13], [11, 11], [5, 13], [13, 13], [12], [13, 13], [13, 13], [13, 13], [], [13, 13], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [12, 13], [13], [5, 5, 13], [13], [13], [5, 5, 13], [13], [5, 5, 13], [11, 13], [5, 5, 13], [11, 13], [5, 13], [13]]
[[13], [5, 5, 12], [13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [13], [11, 13], [5, 5, 13], [13], [5, 5, 13], [13], [11, 13], [5, 13]]
[[13], [5, 5, 12], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [11, 11], [13], [13], [13], [5, 13], [13], [5, 13], [5, 13]]
[[13], [5, 13], [13], [13], [13], [5, 13], [5, 13], [13], [11], [13], [5, 12], [5, 13], [5, 13], [13], [5, 13], [5, 5, 11], [5, 13], [5, 13]]
[[11], [5, 13], [12], [13], [5, 13], [5, 13], [5, 13], [13], [13], [13], [5, 13], [11], [13], [5, 13], [13], [13], [13], [5, 13], [5, 5, 5, 5]]
[[13], [5, 13], [13], [13], [13], [13], [12], [5, 5, 5, 5], [13], [13], [13], [5, 13], [13], [13], [11], [13], [11], [13], [5, 5, 5, 5], [5, 13]]
[[13], [13], [13], [13], [13], [13], [5, 13], [5, 5, 5], [5, 5, 5], [13], [11], [13], [13], [11], [5, 5, 5], [13], [13], [13], [13], [5, 12], [13]]
[[11], [13], [13], [13], [12], [13], [13], [13], [13], [5, 11], [13], [5, 5, 5], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13], [5], [13], [13]]
[[13], [5, 5, 5], [13], [11], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [5], [13], [13], [11], [13], [13], [5, 12], [13], [], [13], [13]]
[[13], [13], [13], [13], [5, 5, 5], [13], [13], [11], [12], [13], [5], [5, 5, 5], [13], [], [5, 5, 5], [13], [13], [5, 11], [13], [13], [13], [13], [], [13]]
[[13], [13], [13], [], [5, 5], [13], [5, 5, 5], [13], [], [13], [13], [11], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [12], [], [13], [5, 5, 5], [11]]
[[], [13], [13], [5, 5], [11], [13], [5, 5], [13], [13], [11], [5, 5], [13], [12], [13], [13], [13], [13], [13], [5, 5], [], [13], [5], [13], [13], [13], [5, 5]]
[[13], [13], [], [11], [], [5, 5], [13], [13], [13], [13], [5], [], [5, 5], [13], [12], [13], [13], [13], [13], [11], [13], [13], [13], [5, 5], [5, 5], [5, 5], [13]]
[[], [13], [], [13], [13], [13], [13], [11], [13], [13], [13], [5, 5], [5, 5], [12], [13], [11], [13], [], [5, 5], [5], [13], [5, 5], [13], [5, 5], [13], [], [13], [13]]
[[13], [11], [13], [], [11], [5, 5], [], [13], [13], [13], [13], [13], [5, 5], [13], [5, 5], [5, 5], [13], [5], [13], [], [12], [], [13], [5, 5], [], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [283], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [189, 126, 94, 76, 64, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [142, 95, 71, 57, 48, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[11, 12, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13], [11, 13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12]]
[[], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12], [6, 6, 11, 13, 13, 13, 13], [13, 13, 13, 13, 13], [6, 13, 13, 13, 13, 13]]
[[], [12, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 11], [6, 6, 6, 13, 13], [6, 6, 13, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13, 13], [13, 13, 13, 13], [13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 11, 12], [13, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 12], [13, 13, 13], [13, 13, 13], [11, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13]]
[[], [6, 6, 6, 6, 6, 11], [12, 13, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6], [6], [13, 13, 13]]
[[13], [12, 13, 13], [6, 6, 6, 13], [13, 13], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 11], [13, 13], [13, 13], [13, 13], [13, 13]]
[[13], [12, 13], [13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [11, 13], [13, 13]]
[[], [13, 13], [6, 13, 13], [6, 6, 6, 6, 6], [6, 6, 6, 6, 6], [], [13, 13], [13, 13], [11, 13], [13, 13], [6, 13, 13], [6, 12, 13]]
[[], [6, 6, 6, 11], [13, 13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [13, 13], [6, 6, 12], [], [13, 13]]
[[], [13], [13, 13], [6, 6, 11], [6, 6, 6, 6], [13, 13], [6, 13], [6, 6, 12], [], [13, 13], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13]]
[[13], [6, 6, 13], [6, 6, 13], [13], [13], [6, 6, 13], [13], [13], [6, 6, 13], [6, 6, 6, 6], [12, 13], [11, 13], [6, 13], [13], [13]]
[[13], [6, 13], [13], [6, 6, 6, 6], [11, 13], [6, 13], [13], [6, 13], [13], [6, 13], [6, 13], [6, 6, 12], [6, 13], [13], [6, 13], [13]]
[[13], [6, 13], [13], [6, 13], [6, 13], [6, 13], [13], [6, 13], [13], [6, 12], [13], [6, 13], [6, 13], [6, 6, 6], [11], [6, 13], [6, 13]]
[[13], [6, 13], [13], [6, 13], [13], [6, 13], [13], [13], [6, 13], [11], [6, 13], [6, 12], [6, 6, 6], [13], [6, 6, 6], [13], [6, 13], [13]]
[[11], [13], [13], [6, 13], [6, 12], [13], [13], [6, 13], [13], [13], [6, 13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [6, 6, 6], [13]]
[[13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [13], [13], [6, 6, 6], [13], [13], [13], [12], [6, 6, 6], [13], [13], [11], [6, 13], [13]]
[[13], [6, 6, 6], [6, 6, 6], [], [13], [13], [13], [13], [13], [13], [13], [13], [13], [11], [13], [6, 12], [13], [6, 6, 6], [6, 6, 6], [13], [13]]
[[13], [13], [13], [13], [13], [6, 6], [13], [12], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [6, 6], [6, 11], [6, 6], [13], [13], [6, 6]]
[[13], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13], [13], [12], [13], [6, 6], [13], [6, 6], [], [6, 11], [13], [13], [13], [6, 6], [13], [6, 6]]
[[13], [6, 6], [6, 6], [13], [13], [], [11], [13], [12], [6, 6], [13], [13], [6, 6], [6], [13], [13], [13], [6, 6], [13], [13], [13], [13], [6, 6], [13]]
[[13], [6, 6], [13], [12], [13], [11], [13], [6, 6], [6, 6], [13], [13], [13], [], [13], [6, 6], [], [13], [13], [6, 6], [6], [13], [13], [6, 6], [13], [13]]
[[11], [13], [6, 6], [13], [], [6, 6], [13], [], [13], [13], [6, 6], [13], [13], [13], [13], [13], [13], [6], [12], [13], [6, 6], [6, 6], [13], [], [6, 6], [13]]
[[13], [], [13], [12], [13], [13], [], [6, 6], [13], [13], [11], [6, 6], [6, 6], [6, 6], [13], [], [6, 6], [13], [6], [13], [13], [13], [13], [6, 6], [], [13], [13]]
[[], [6], [6, 6], [13], [13], [], [], [13], [13], [6, 6], [6, 6], [6, 6], [13], [13], [13], [], [11], [6, 6], [13], [13], [13], [12], [6, 6], [13], [], [13], [13], [13]]
[[13], [13], [6, 6], [13], [], [13], [], [], [], [13], [11], [], [13], [13], [13], [13], [], [6, 6], [13], [13], [13], [6], [12], [6, 6], [6, 6], [6, 6], [13], [13], [6, 6]]
-EndAllocation

Instance: [[1], [282], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[11, 11, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[10, 11, 11, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13]]
[[13], [10, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 13], [13, 13, 13, 13, 13, 13, 13]]
[[13], [10, 11, 11, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13, 13]]
[[], [10, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 13, 13, 13, 13], [13, 13, 13, 13], [11, 11, 13, 13, 13]]
[[], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [5, 13, 13, 13], [10, 11, 11]]
[[], [10, 13, 13], [11, 11, 13, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 13, 13], [13, 13, 13], [13, 13], [11, 11], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [10, 13, 13]]
[[], [13, 13], [13, 13], [10, 13, 13], [5, 5, 5, 5, 5, 5, 5], [11, 13, 13], [13, 13], [11, 13, 13], [5, 5, 5, 5, 13], [13, 13]]
[[], [10, 13], [13, 13], [5, 13, 13], [5, 13, 13], [13, 13], [13, 13], [5, 5, 11, 11], [13, 13], [5, 5, 5, 5, 5, 5], [5, 13, 13]]
[[], [13, 13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5, 5], [10, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [11, 11]]
[[], [13, 13], [10, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [5, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [11, 11], [13]]
[[], [5, 5, 5, 5, 5], [13, 13], [11, 11], [5, 13], [13, 13], [], [13, 13], [13, 13], [13, 13], [13], [10, 13], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [11, 13], [13], [5, 5, 13], [10, 13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 5, 13], [11, 13], [5, 13], [13]]
[[13], [5, 5, 13], [13], [13], [5, 5, 5, 5], [13], [5, 13], [13], [13], [10, 13], [5, 5, 13], [13], [5, 5, 13], [13], [11, 13], [11, 13]]
[[13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [11, 11], [5, 13], [13], [10], [5, 13], [13], [5, 13], [5, 13]]
[[13], [10, 11], [13], [5, 5, 5, 5], [13], [5, 13], [5, 13], [13], [13], [13], [13], [5, 13], [5, 13], [13], [5, 13], [5, 11], [5, 13], [13]]
[[11], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [13], [10], [13], [5, 13], [11], [13], [5, 13], [13], [13], [13], [5, 13], [5, 5, 5, 5]]
[[13], [5, 13], [13], [13], [13], [13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 13], [13], [10], [11], [13], [11], [13], [5, 5, 5, 5], [5, 13]]
[[13], [13], [13], [13], [13], [13], [5, 13], [5, 5, 5], [5, 5, 5], [13], [13], [5, 13], [13], [11], [5, 5, 5], [13], [13], [10], [11], [13], [13]]
[[11], [13], [10], [13], [13], [13], [13], [13], [13], [5, 11], [13], [5, 5, 5], [5, 5, 5], [13], [13], [5, 5, 5], [13], [13], [13], [5], [13], [13]]
[[13], [5, 5, 5], [13], [11], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [13], [13], [13], [11], [13], [10], [5, 5], [13], [], [13], [13]]
[[13], [], [13], [13], [5, 5, 5], [13], [13], [11], [13], [13], [5, 10], [5, 5, 5], [13], [], [5, 5, 5], [13], [13], [5, 11], [13], [13], [13], [13], [], [13]]
[[13], [13], [13], [], [5, 5], [13], [5, 5, 5], [13], [], [13], [13], [11], [13], [13], [13], [13], [13], [5, 5, 5], [], [13], [13], [10], [13], [5, 5, 5], [11]]
[[], [13], [13], [5], [11], [13], [5, 5], [13], [13], [11], [5, 5], [13], [5, 5], [13], [13], [13], [13], [13], [5, 5], [], [13], [13], [13], [13], [10], [5, 5]]
[[13], [13], [], [11], [], [5, 5], [13], [13], [13], [13], [5], [], [5, 5], [13], [13], [13], [10], [13], [13], [11], [13], [13], [13], [5, 5], [5, 5], [5, 5], [13]]
[[], [13], [], [13], [13], [13], [13], [11], [13], [13], [13], [5, 5], [5, 5], [13], [13], [11], [13], [], [5, 5], [5], [13], [5, 5], [13], [5, 5], [13], [], [10], [13]]
[[13], [11], [13], [], [11], [5, 5], [], [13], [13], [13], [13], [13], [5, 5], [13], [5, 5], [5, 5], [10], [5], [13], [], [13], [], [13], [5, 5], [], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [281], 29]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,29. UB Alg: [188, 125, 94, 76, 62, 54, 48, 42, 38, 34, 32, 29, 28, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [141, 94, 71, 57, 47, 41, 36, 32, 29, 26, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,29:
-StartAllocation
[[13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 12, 12, 13, 13, 13, 13, 13, 13, 13]]
[[12, 12, 13], [7, 13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13]]
[[13], [13, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13], [7, 12, 12, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [12, 12, 13, 13, 13, 13], [7, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 13], [5, 5, 13, 13, 13, 13], [7, 13, 13, 13, 13], [12, 12, 13, 13]]
[[], [12, 12, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [13, 13, 13, 13], [5, 13, 13, 13], [7, 13, 13]]
[[], [13, 13, 13], [12, 13, 13], [13, 13, 13], [13, 13, 13], [12, 13, 13], [5, 5, 7, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
[[], [5, 5, 5, 13, 13], [13, 13, 13], [7, 13, 13], [13], [13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13], [12, 12, 13]]
[[13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [13, 13], [12, 12, 13], [13, 13], [5, 5, 5, 5, 13], [7, 13, 13]]
[[], [13, 13], [13, 13], [5, 13, 13], [5, 13, 13], [13], [13, 13], [5, 13, 13], [5, 5, 12, 12], [5, 5, 5, 5, 5, 5], [7, 13, 13]]
[[], [7, 13], [5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [12, 12]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [12, 12], [5, 5, 5, 5, 5], [5, 13], [13, 13], [7, 13], [5, 5, 5, 5, 5], [13, 13], [13]]
[[], [5, 5, 5, 5, 5], [13, 13], [12, 12], [5, 13], [7, 13], [], [13, 13], [13, 13], [13, 13], [13], [13, 13], [5, 5, 5, 5, 5], [13, 13]]
[[13], [5, 5, 13], [12, 13], [7, 13], [5, 5, 13], [12, 13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 13], [13]]
[[13], [12, 12], [13], [13], [5, 5, 13], [5, 13], [5, 5, 13], [13], [5, 5, 13], [13], [5, 5, 13], [13], [7, 13], [13], [13], [5, 5, 13]]
[[13], [5, 5, 12], [5, 13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [13], [5, 13], [5, 12], [13], [7, 13], [5, 13], [13], [5, 13], [13]]
[[13], [5, 13], [13], [5, 5, 5, 5], [13], [7, 12], [5, 13], [13], [13], [13], [12], [5, 13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [13]]
[[13], [7, 13], [12], [13], [5, 13], [12], [5, 13], [13], [13], [13], [5, 13], [13], [13], [13], [5, 5, 5, 5], [13], [13], [13], [5, 5, 5, 5]]
[[13], [5, 13], [13], [], [13], [13], [12], [5, 5, 5, 5], [12], [13], [13], [5, 13], [13], [13], [13], [7, 13], [13], [13], [5, 5, 5, 5], [5, 13]]
[[13], [13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [12], [12], [13], [13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 7], [13]]
[[13], [13], [12], [13], [12], [13], [13], [13], [13], [5, 5, 5], [7], [5, 5, 5], [5, 5, 5], [13], [13], [5, 5], [13], [13], [13], [13], [13], [13]]
[[13], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [5], [13], [13], [13], [7], [12], [5, 12], [13], [], [13], [13]]
[[13], [13], [13], [13], [5, 5, 5], [13], [13], [], [12], [12], [13], [5, 5, 5], [13], [], [5, 5], [13], [13], [5, 5, 5], [13], [13], [7], [13], [13], [13]]
[[13], [13], [13], [], [5, 5], [7], [5, 5, 5], [13], [], [13], [13], [12], [13], [13], [13], [13], [13], [5, 5, 5], [13], [13], [12], [], [13], [5, 5, 5], [13]]
[[], [13], [13], [5, 5], [13], [13], [5, 5], [13], [13], [13], [5, 5], [13], [12], [13], [13], [13], [12], [13], [5, 5], [], [13], [5], [13], [7], [13], [5, 5]]
[[13], [13], [], [13], [], [5, 5], [13], [13], [13], [], [13], [12], [5, 5], [13], [12], [13], [13], [13], [13], [5, 5], [13], [13], [13], [5, 5], [5, 7], [5, 5], []]
[[], [13], [], [13], [13], [13], [13], [13], [13], [12], [7], [5, 5], [5, 5], [12], [13], [13], [13], [], [5, 5], [5], [13], [5, 5], [13], [5, 5], [13], [], [13], [13]]
[[13], [5, 5], [], [], [13], [5, 5], [], [13], [13], [13], [13], [13], [5, 7], [13], [5, 5], [5, 5], [13], [], [13], [], [12], [], [13], [5, 5], [12], [13], [13], [13], [13]]
-EndAllocation

Instance: [[1], [300], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 32, 29, 26, 25, 24, 22, 21, 20, 20, 18, 18, 17, 16, 16, 16, 14, 14, 13], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 24, 22, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 13], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 10, 10, 13, 13, 13, 13, 13, 13]]
[[13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10], [13, 13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13, 13]]
[[], [10, 10, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13], [13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]
[[], [6, 13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [10, 10, 13, 13, 13], [13, 13, 13, 13, 13], [13, 13, 13, 13]]
[[], [13, 13, 13, 13], [6, 6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13, 13], [10, 10, 13], [13, 13, 13, 13], [6, 6, 6, 13, 13, 13]]
[[], [6, 6, 6, 6, 6, 6, 6, 6], [13, 13, 13], [10, 10, 13, 13], [13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 13, 13], [13, 13, 13]]
[[], [6, 6, 10, 10, 13], [6, 13, 13, 13], [13, 13, 13], [6, 13, 13, 13], [], [6, 13, 13, 13], [13, 13, 13], [6, 6, 6, 6, 6, 6, 6]]
[[], [13, 13, 13], [], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [13, 13, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [10, 10, 13]]
[[13], [13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6, 6], [13, 13], [6, 13, 13], [10, 10, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13]]
[[], [13, 13], [6, 6, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [13, 13], [10, 10, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6]]
[[], [6, 6, 6, 6, 6], [6, 13, 13], [13, 13], [13, 13], [6, 6, 6, 6, 6], [13, 13], [10, 10], [13, 13], [13, 13], [], [6, 13, 13], [13, 13]]
[[], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [10, 10], [13, 13], [6, 6, 6, 6], [13, 13], [6, 6, 6, 6], [13, 13], [13, 13], [], [13, 13]]
[[], [6, 6, 6, 6], [13, 13], [13, 13], [13, 13], [13, 13], [], [13, 13], [], [13, 13], [13, 13], [6, 6, 6, 6], [6, 6, 6, 6], [13, 13], [10, 10]]
[[13], [13], [6, 6, 13], [13], [6, 6, 13], [10, 13], [13], [13], [10, 13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [6, 6, 13], [13], [13], [13]]
[[13], [6, 13], [6, 13], [13], [13], [6, 13], [6, 13], [6, 13], [6, 13], [10, 10], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [6, 13], [13]]
[[13], [6, 13], [13], [13], [6, 13], [13], [6, 6, 6], [13], [6, 13], [6, 13], [13], [6, 13], [13], [6, 13], [10, 10], [6, 13], [6, 13], [6, 13]]
[[13], [6, 13], [13], [13], [13], [10, 10], [13], [13], [13], [13], [6, 13], [13], [6, 6, 6], [6, 13], [13], [6, 13], [6, 13], [6, 6, 6], [6, 13]]
[[13], [13], [10, 10], [13], [13], [6, 6, 6], [13], [6, 6, 6], [6, 13], [13], [13], [13], [6, 13], [6, 13], [13], [13], [13], [13], [6, 6, 6], [13]]
[[13], [6, 13], [], [13], [13], [6, 13], [13], [13], [13], [13], [13], [13], [6, 6, 6], [13], [10, 10], [6, 13], [6, 6, 6], [13], [6, 6, 6], [13], [13]]
[[13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [13], [6, 6, 6], [13], [13], [6, 10], [13], [13], [6, 6], [13], [13], [13], [10], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [13], [10], [13], [13], [13], [10], [], [13], [13], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [13], [6, 6], [6, 6], [6, 10], [6, 6], [13], [6], [6, 6], [13], [10], [13], [13], [13], [6, 6], [13], [13], [13], [13]]
[[13], [13], [13], [13], [13], [13], [10], [6, 6], [13], [13], [13], [6, 6], [6, 6], [13], [13], [6, 6], [13], [10], [13], [13], [6, 6], [], [6, 6], [13], [13]]
[[13], [13], [6, 6], [13], [6, 6], [13], [13], [13], [13], [13], [13], [], [], [13], [6, 6], [6, 6], [13], [13], [13], [6, 6], [13], [13], [6, 6], [13], [10], [10]]
[[], [13], [], [13], [10], [13], [13], [], [13], [13], [13], [13], [13], [10], [13], [13], [13], [6, 6], [6, 6], [13], [6, 6], [6, 6], [6, 6], [6, 6], [13], [13], [13]]
[[13], [13], [13], [13], [6, 6], [13], [13], [13], [6, 6], [13], [6, 6], [6, 6], [13], [13], [13], [], [], [], [13], [], [6, 6], [13], [6, 6], [13], [10], [13], [13], [10]]
[[13], [13], [], [13], [], [10], [6, 6], [6, 6], [13], [6, 6], [10], [13], [6, 6], [13], [13], [], [13], [13], [13], [13], [13], [], [13], [13], [13], [6, 6], [6, 6], [], [13]]
[[13], [13], [13], [], [13], [], [13], [13], [13], [6, 6], [6, 6], [6, 6], [], [], [6, 6], [13], [10], [13], [6, 6], [6, 6], [13], [], [13], [10], [13], [13], [13], [13], [], [13]]
-EndAllocation

Instance: [[1], [299], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 3, 3, 6, 6, 6, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [200, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13], Opt: [150, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 6, 6, 9, 9, 11, 11, 11, 11, 12, 12, 12], [3, 3, 3, 8, 8, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[3, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 3, 11, 11, 11, 11], [6, 6, 6, 8, 8, 8, 9, 9, 10, 10, 12, 12, 12]]
[[3, 3, 3, 6, 6, 6, 10, 10], [13, 13, 13, 13, 13, 13, 13], [8, 8, 8, 12, 12, 12, 13, 13, 13], [9, 9, 11, 11, 11, 11]]
[[3, 3, 3, 8, 8, 8, 10, 10], [13, 13, 13, 13, 13, 13], [6, 6, 6, 12, 12, 12], [9, 9, 13, 13, 13, 13], [11, 11, 11, 11]]
[[3, 3, 3, 13, 13, 13, 13], [12, 12, 12, 13, 13], [6, 6, 6], [8, 8, 8, 10, 10], [9, 9, 11, 11, 11, 11], [13, 13, 13, 13]]
[[3, 3, 3, 10, 13, 13], [13, 13, 13, 13], [6, 6, 6, 10, 13, 13], [], [9, 9, 13, 13], [8, 8, 12, 12, 12], [8, 11, 11, 11, 11]]
[[3, 3, 3, 13, 13, 13], [8, 8, 8], [13, 13, 13], [13, 13, 13], [6, 6, 6, 9, 9], [11, 11, 11, 11], [12, 13], [10, 10, 12, 12]]
[[3, 3, 13, 13, 13], [3, 13, 13, 13], [], [10, 10], [8, 8, 8, 13], [12, 12, 12], [6, 6, 6, 9, 9], [11, 11, 11, 11], [13, 13, 13]]
[[3, 12, 12, 12], [3, 3, 10, 10, 11], [13, 13, 13], [13, 13, 13], [6, 6, 6, 11], [], [8, 8, 8, 11], [9, 9], [11, 13], [13, 13, 13]]
[[3, 3, 3, 6, 6, 6, 10], [12, 12, 12], [11, 11, 11], [10, 13, 13], [13, 13], [], [8, 8, 8], [13, 13], [9, 9], [13, 13], [11, 13, 13]]
[[3, 3, 3, 6, 12], [13, 13], [13, 13], [], [6, 6, 10, 10], [11, 11, 11], [8, 8, 8], [13, 13], [9, 9, 11], [12, 12], [13, 13], [13, 13]]
[[3, 3, 3, 13], [13, 13], [10, 13], [10, 11], [8, 8, 8], [12], [13, 13], [9, 9], [6, 6, 6, 11], [11, 11], [13, 13], [13, 13], [12, 12]]
[[3, 3, 3, 13], [6, 6, 6, 11], [11, 13], [], [9, 9], [11, 11], [13, 13], [10, 10], [13, 13], [8, 8, 8], [12], [12, 12], [13, 13], [13, 13]]
[[13, 13], [3, 3, 3, 9], [8, 8, 8], [13], [13, 13], [11, 11], [13, 13], [12], [10, 10], [12, 12], [6, 6, 6], [], [11, 11], [13, 13], [9, 13]]
[[11, 13], [10, 13], [3, 3, 3, 13], [6, 6, 6], [12, 12], [11, 13], [12, 13], [], [13], [11, 11], [13], [8, 8, 8], [9, 9], [13], [10, 13], [13]]
[[10, 12], [11, 13], [13], [13], [13], [12], [9, 9], [13], [11, 11], [8, 8, 8], [6, 6, 6], [13], [10, 13], [11, 13], [13], [13], [3, 3, 3, 12]]
[[11, 11], [13], [13], [12], [11, 11], [13], [13], [13], [9, 9], [13], [13], [6, 6, 6], [8, 12], [13], [10, 10], [8, 12], [8, 13], [3, 3, 3, 13]]
[[3, 3, 3, 10], [6, 13], [13], [10, 11], [6, 12], [8, 13], [13], [13], [9, 9], [12], [13], [11], [11], [6, 13], [12], [13], [8, 13], [13], [8, 11]]
[[3, 3, 3, 11], [13], [6, 6], [13], [8, 12], [6, 12], [13], [13], [13], [13], [13], [9, 11], [9, 11], [12], [13], [11], [8, 8], [13], [10, 10], [13]]
[[3, 3, 3, 6], [13], [6, 13], [13], [13], [13], [13], [12], [8, 11], [11], [10, 10], [8, 8], [13], [13], [9, 9], [11], [13], [11], [13], [12], [6, 12]]
[[3, 3, 3, 9], [13], [11], [8, 9], [8, 8], [13], [13], [13], [6, 12], [13], [13], [6, 12], [13], [13], [13], [6, 12], [11], [11], [10], [13], [11], [10]]
[[3, 13], [3, 3, 11], [12], [6, 11], [13], [13], [13], [13], [13], [12], [12], [13], [8, 8], [13], [13], [6, 10], [13], [11], [8], [11], [10], [9], [6, 9]]
[[3, 6, 8], [13], [6, 11], [13], [11], [13], [13], [13], [13], [10], [6, 11], [], [9], [11], [13], [8, 8], [10], [12], [12], [9], [12], [13], [3, 13], [3, 13]]
[[3, 13], [3, 11], [11], [13], [13], [13], [9], [13], [12], [13], [13], [11], [13], [12], [8, 8], [], [6, 10], [12], [11], [], [13], [6, 10], [13], [6, 8], [3, 9]]
[[3, 3, 3, 6], [13], [13], [13], [6, 6], [13], [9], [11], [10], [12], [11], [9], [8], [11], [11], [], [13], [13], [12], [10], [13], [12], [13], [8, 8], [13], [13]]
[[3, 13], [3, 13], [], [], [13], [11], [6, 6], [13], [12], [9], [12], [13], [13], [13], [13], [11], [10], [13], [8, 8], [13], [9], [11], [], [10], [12], [6, 8], [3, 11]]
[[13], [6, 6], [], [3, 3, 3], [13], [12], [12], [13], [13], [10], [8], [8], [9], [13], [13], [11], [13], [13], [11], [8], [10], [12], [13], [11], [11], [6], [13], [9]]
[[13], [3, 3, 3], [], [9], [8], [11], [11], [13], [13], [12], [13], [12], [13], [12], [13], [13], [], [13], [11], [10], [6, 6], [10], [8], [9], [11], [], [6, 8], [13], [13]]
[[3, 8], [6, 6], [13], [13], [13], [8], [13], [13], [13], [8], [6], [13], [12], [13], [12], [13], [11], [10], [13], [12], [9], [], [], [10], [11], [11], [], [11], [9], [3, 3]]
-EndAllocation

Instance: [[1], [298], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 2, 4, 6, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [198, 133, 100, 80, 66, 57, 50, 45, 40, 37, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 16, 14, 14, 13], Opt: [149, 100, 75, 60, 50, 43, 38, 34, 30, 28, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[1, 2, 4, 6, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12], [8, 8, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[1, 2, 4, 13, 13, 13, 13, 13, 13, 13, 13, 13], [11, 11, 11, 11], [6, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 12, 12, 12]]
[[1, 2, 4, 6, 10, 10, 10], [13, 13, 13, 13, 13, 13, 13], [8, 8, 8, 12, 12, 12, 13, 13], [7, 9, 9, 9, 11, 11, 11, 11]]
[[1, 2, 4, 8, 8, 8, 10, 10, 10], [13, 13, 13, 13, 13, 13], [6, 11, 11, 11, 12, 12, 12], [9, 9, 9, 11, 13, 13, 13], [7]]
[[1, 2, 4, 7, 13, 13, 13, 13], [12, 12, 12], [6, 11, 11, 11, 11], [8, 8, 8, 10, 10, 10], [9, 9, 9], [13, 13, 13, 13, 13]]
[[1, 4, 12, 13, 13, 13], [2, 7, 8, 13, 13, 13], [6, 10, 10, 10], [], [8, 8, 13, 13, 13], [9, 9, 9, 12, 12], [11, 11, 11, 11]]
[[1, 2, 4, 7, 13, 13], [8, 8, 8, 13], [13, 13], [12, 13, 13], [6, 9, 9, 9, 12], [11, 11, 11, 11], [13, 13], [10, 10, 10, 12]]
[[1, 2, 4, 7, 13, 13], [13, 13, 13], [13], [10, 10, 10], [8, 8, 8], [12, 12, 12], [6, 9, 9, 9], [11, 11, 11, 11], [13, 13, 13]]
[[1, 2, 12, 12, 12], [7, 10, 10, 10], [13, 13, 13], [13, 13, 13], [6, 11, 11, 11], [4], [8, 8, 8, 11], [9, 9, 9], [], [13, 13, 13]]
[[1, 2, 4, 10, 10, 10], [12, 12, 12], [6, 9, 13], [11, 13], [11, 13], [13], [8, 8, 8, 13], [13], [9, 9, 13], [11, 13], [7, 11, 13]]
[[1, 2, 4, 7, 12], [13, 13], [11, 11, 11], [12], [6, 10, 10], [11, 12], [8, 8, 8, 9], [13], [9, 9, 10], [13, 13], [13, 13], [13, 13]]
[[1, 2, 13, 13], [4, 13], [7, 10, 10], [10, 12], [8, 8, 8], [12, 12], [13, 13], [9, 9, 9], [6, 11, 11], [11, 11], [], [13, 13], [13, 13]]
[[1, 2, 13, 13], [4, 6, 7], [11, 11], [13], [9, 9, 9], [11, 11], [13, 13], [10, 12], [13, 13], [8, 8, 8], [12, 12], [], [10, 10], [13, 13]]
[[1, 4, 10, 10], [8, 9, 9], [8, 8, 9], [2, 7], [13], [11, 11], [13, 13], [12, 12], [10], [12], [6], [11, 11], [13, 13], [13, 13], [13, 13]]
[[1, 11, 13], [2, 13], [4, 9, 12], [6, 13], [7, 13], [11], [12, 12], [], [13], [10, 13], [13], [8, 8, 8], [9, 9], [11, 13], [10, 10], [11, 13]]
[[1, 2, 4, 13], [7, 13], [], [13], [13], [12, 12], [9, 9], [13], [11, 11], [8, 8, 8], [6, 12], [10, 13], [10, 10], [11, 11], [13], [13], [9, 13]]
[[1, 8, 13], [2, 4, 13], [7, 13], [13], [11, 11], [13], [12], [12], [9, 9], [13], [10, 10], [6, 12], [8, 8], [13], [11, 11], [10], [13], [9, 13]]
[[1, 2, 4, 13], [6, 13], [8, 13], [13], [12], [8, 13], [13], [10, 10], [9, 9], [12], [11], [11], [11], [13], [10], [9, 12], [13], [7, 13], [8, 11]]
[[1, 2, 4, 13], [7, 13], [6, 13], [13], [12], [11], [13], [12], [11], [9, 11], [11], [13], [13], [8, 12], [10], [9, 9], [8, 8], [13], [13], [10, 10]]
[[1, 2, 4, 12], [7, 13], [12], [13], [6, 9], [13], [13], [13], [11], [10], [13], [8, 8], [11], [13], [9, 9], [11], [12], [10, 10], [13], [13], [8, 11]]
[[1, 2, 12], [13], [13], [7, 10], [8, 8], [11], [8, 10], [12], [13], [13], [10], [11], [13], [11], [9], [6, 12], [9, 9], [13], [13], [11], [4, 13], [13]]
[[1, 2, 4, 10], [13], [13], [13], [13], [12], [7, 10], [13], [8, 9], [6, 11], [10], [13], [8, 8], [11], [13], [11], [11], [12], [9], [13], [12], [13], [9]]
[[1, 2, 13], [4, 7], [13], [13], [11], [13], [13], [10], [9], [8, 8], [9], [12], [11], [11], [13], [6, 10], [12], [11], [10], [8, 9], [12], [13], [13], [13]]
[[1, 2, 13], [13], [13], [4, 7], [13], [9], [10], [13], [12], [10], [13], [8], [13], [12], [8, 8], [11], [10], [12], [11], [11], [9], [11], [6, 9], [13], [13]]
[[1, 4, 9], [13], [13], [6], [13], [9], [11], [9], [11], [12], [12], [], [10], [11], [11], [13], [13], [13], [10], [7, 8], [10], [12], [13], [8, 8], [13], [2, 13]]
[[1, 2, 13], [10], [6, 7], [13], [], [11], [8], [12], [13], [9], [13], [11], [10], [13], [], [12], [11], [9], [9], [8, 8], [13], [11], [12], [4, 10], [13], [13], [13]]
[[1, 13], [13], [13], [13], [2, 11], [12], [13], [12], [4, 9], [10], [7], [11], [9], [], [8], [], [13], [9], [11], [8], [10], [12], [6, 8], [10], [13], [11], [13], [13]]
[[1, 2, 8], [13], [7], [13], [8], [11], [11], [12], [9], [13], [9], [12], [13], [12], [13], [10], [13], [], [11], [10], [6], [11], [], [13], [13], [8], [10], [13], [4, 9]]
[[1, 2, 8], [6, 7], [13], [13], [4, 8], [13], [9], [13], [13], [10], [], [], [12], [], [11], [], [13], [10], [13], [12], [12], [9], [8], [10], [11], [11], [13], [11], [13], [9]]
-EndAllocation

Instance: [[1], [297], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [198, 132, 100, 80, 66, 57, 50, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [149, 99, 75, 60, 50, 43, 38, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[2, 2, 6, 6, 8, 8, 11, 11, 11, 11, 12, 12, 12, 12], [7, 7, 7, 9, 9, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13]]
[[2, 2, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13], [8, 8, 11, 11, 11, 11], [6, 6, 7, 7, 7, 10, 10, 10, 12, 12, 12, 12]]
[[2, 2, 8, 12, 12, 12, 12], [8, 13, 13, 13, 13, 13, 13, 13], [6, 6, 7, 7, 7, 10, 10, 10, 13], [9, 9, 11, 11, 11, 11]]
[[2, 2, 8, 8, 10, 10, 10], [12, 12, 12, 12, 13, 13], [13, 13, 13, 13, 13, 13], [7, 7, 7, 11, 11, 11, 11], [6, 6, 9, 9]]
[[2, 2, 6, 6, 11, 11, 11, 11], [12, 12, 12, 12], [13, 13, 13, 13, 13], [10, 10, 10], [8, 8, 9, 9], [7, 7, 7, 13, 13, 13]]
[[2, 2, 13, 13, 13, 13], [6, 6, 13, 13, 13], [12, 12, 12, 12], [], [8, 8, 9, 9], [11, 11, 11, 11, 13], [7, 7, 7, 10, 10, 10]]
[[2, 2, 13, 13], [7, 7, 7, 9, 9], [13, 13, 13], [13, 13, 13], [12, 12, 12, 12], [11, 11, 11, 11], [6, 6], [8, 8, 10, 10, 10]]
[[2, 2, 13, 13, 13], [13, 13, 13], [9, 9], [12, 12, 12], [6, 6, 7, 7, 7], [10, 10, 10], [8, 8], [11, 11, 11, 11], [12, 13, 13]]
[[2, 2, 9, 13, 13], [12, 12, 12], [10, 10, 10], [13, 13, 13], [11, 11, 11], [7, 7, 7], [6, 6, 11, 12], [], [8, 8, 9], [13, 13, 13]]
[[2, 2, 13, 13], [9, 11, 12], [11, 11, 11], [13, 13], [12, 12, 12], [13], [6, 6], [10, 10, 10], [7, 7, 7, 9], [13, 13], [8, 8, 13]]
[[9, 12, 12], [2, 2, 6, 9, 13], [8, 8, 13], [], [7, 7, 7, 11], [11, 11, 11], [6, 13, 13], [], [10, 10, 10], [13, 13], [13, 13], [12, 12]]
[[2, 2, 12, 13], [13], [], [11, 11], [12, 12], [8, 11, 11], [7, 7, 7], [8, 9, 9], [6, 6, 12], [10, 10, 10], [13, 13], [13, 13], [13, 13]]
[[2, 2, 13], [9, 9], [8, 8], [13, 13], [10], [12, 12], [7, 7, 7], [13, 13], [11, 11], [12, 12], [6, 6, 13], [11, 11], [10, 10], [13, 13]]
[[13, 13], [2, 2, 7, 7, 7], [8, 8], [13, 13], [13, 13], [11, 11], [10, 10], [12, 12], [11, 11], [12, 12], [6, 6], [9, 9], [], [10], [13, 13]]
[[2, 9, 13], [10, 13], [12, 13], [6, 6, 13], [9, 13], [], [8, 8], [], [13], [11, 11], [11, 11], [7, 7, 7], [13], [12, 12], [10, 13], [2, 10, 12]]
[[2, 2, 13], [12, 12], [13], [9, 13], [13], [11, 11], [9, 13], [8, 8], [11, 11], [7, 7, 7], [13], [12, 12], [], [10, 10], [6, 6], [10, 13], [13]]
[[2, 2, 13], [9, 13], [13], [13], [11, 11], [13], [12], [12], [7, 7, 7], [9, 13], [12], [6, 6], [8, 8], [10, 12], [11, 11], [13], [13], [10, 10]]
[[10, 10], [2, 2, 12], [13], [13], [12], [11], [13], [13], [8, 8], [11], [10, 11], [6, 11], [13], [13], [7, 7, 7], [6, 13], [9, 12], [9, 12], [13]]
[[8, 11], [2, 2, 13], [10], [13], [13], [13], [10, 10], [9, 11], [13], [12], [9, 11], [13], [11], [12], [7, 7], [7, 12], [13], [6, 6, 8], [12], [13]]
[[2, 2, 11], [6, 10], [13], [7, 11], [13], [13], [13], [13], [6, 12], [11], [13], [12], [10, 10], [12], [7, 7], [12], [13], [9, 9], [11], [13], [8, 8]]
[[8, 10], [2, 2, 13], [12], [13], [13], [12], [12], [13], [11], [9, 9], [7, 8], [6, 10], [11], [12], [13], [6, 11], [10], [11], [7, 7], [13], [13], [13]]
[[2, 2, 13], [13], [13], [13], [12], [12], [8, 9], [13], [7, 7], [11], [11], [8], [11], [10], [12], [6, 9], [10], [6, 11], [13], [7, 10], [12], [13], [13]]
[[2, 2, 10], [12], [13], [13], [13], [6, 6], [12], [11], [13], [8, 8], [11], [7, 9], [10], [11], [12], [11], [13], [13], [10], [9], [12], [13], [7, 7], [13]]
[[2, 2, 12], [13], [13], [10], [10], [11], [11], [13], [12], [13], [13], [9], [11], [13], [9], [10], [7], [12], [12], [11], [7, 7], [8, 8], [6, 6], [13], [13]]
[[2, 7, 7], [2, 13], [13], [13], [12], [7, 9], [], [11], [10], [12], [9], [13], [6, 6], [], [12], [11], [11], [10], [12], [10], [13], [11], [13], [8, 8], [13], [13]]
[[2, 2, 6], [13], [13], [13], [13], [8], [6], [12], [7, 7], [10], [13], [11], [11], [13], [13], [12], [10], [7], [9], [10], [9], [11], [11], [12], [8], [13], [12]]
[[2, 2, 8], [6, 6], [12], [13], [13], [13], [7], [13], [10], [11], [12], [13], [], [], [10], [11], [13], [8], [10], [7, 7], [12], [9], [12], [9], [11], [11], [13], [13]]
[[2, 6, 6], [13], [13], [12], [9], [12], [10], [13], [8], [7, 7], [13], [12], [13], [12], [9], [10], [11], [], [11], [], [13], [10], [11], [13], [11], [13], [8], [7], [2]]
[[2, 2, 9], [6, 6], [13], [13], [12], [], [8], [10], [7], [9], [7], [8], [13], [], [12], [10], [], [12], [7], [12], [13], [10], [13], [11], [11], [11], [13], [11], [13], [13]]
-EndAllocation

Instance: [[1], [296], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [197, 132, 98, 80, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [148, 99, 74, 60, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[6, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13], [5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10]]
[[6, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 7, 7, 8, 8, 11, 11, 11], [5, 9, 9, 9, 10, 10, 10, 12, 12]]
[[6, 8, 8, 10, 10, 10, 11, 11, 11, 12], [6, 6, 6, 6, 9, 9, 9, 12, 13, 13], [5, 7, 7], [13, 13, 13, 13, 13, 13, 13]]
[[6, 8], [6, 6, 6, 6, 12, 12, 13, 13], [8, 13, 13, 13, 13, 13], [5, 7, 7, 11, 11, 11, 13, 13], [9, 9, 9, 10, 10, 10]]
[[6, 11, 11, 11, 13, 13], [12, 12, 13], [5, 9, 9, 9, 13], [10, 10, 10], [6, 6, 6, 6, 7, 7, 8, 8], [13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [5, 6, 6, 6, 6, 13, 13], [12, 12], [6, 10, 10, 10], [8, 8, 9, 9, 9], [11, 11, 11], [7, 7, 13, 13, 13]]
[[6, 13, 13, 13], [7, 7, 9, 9, 9], [13, 13, 13], [], [11, 11, 11], [8, 8, 10, 10, 10], [5, 13, 13, 13], [6, 6, 6, 6, 12, 12]]
[[13, 13, 13], [13, 13, 13], [6, 9, 9, 9], [11, 11], [6, 6, 6, 6, 7, 7], [], [8, 8, 12, 12], [10, 10, 10, 11], [5, 13, 13, 13]]
[[6, 11], [13, 13, 13], [8, 8, 12, 12], [13, 13, 13], [10, 10, 10], [7, 7], [6, 6, 6, 11, 11], [], [5, 6, 9, 9, 9], [13, 13, 13]]
[[6, 12, 13], [8, 9, 9, 9], [11, 11, 11], [13, 13], [12, 13], [13], [5, 6, 6, 6, 6], [10, 10, 10], [7, 7], [13, 13], [8, 13, 13]]
[[10, 11, 11], [9, 9, 9], [8, 8, 11], [], [6, 6, 6, 6, 7], [5, 10, 10], [12, 12], [13], [13, 13], [13, 13], [6, 13, 13], [7, 13, 13]]
[[11, 13], [5, 13], [11, 11], [], [8, 8, 10], [12, 12], [6, 6, 13], [7, 7, 10], [13, 13], [6, 6, 6, 10], [9, 9, 9], [13, 13], [13, 13]]
[[13, 13], [9, 9, 9], [8, 8, 13], [13, 13], [5, 6, 10], [7, 7], [], [13, 13], [11, 11], [12, 12], [6, 6, 6, 6], [11], [10, 10], [13, 13]]
[[6, 11], [7, 9, 9], [8, 8], [13], [13, 13], [11, 11], [10, 10], [12, 12], [6, 6, 7], [13, 13], [5, 6, 6], [9], [10], [13, 13], [13, 13]]
[[6, 6, 13], [10, 13], [6, 13], [5, 13], [9, 13], [12, 13], [8, 8], [7], [9, 9], [6, 6, 10], [11, 11], [7, 13], [], [11, 12], [10, 13], [13]]
[[9, 11], [13], [13], [13], [5, 6, 13], [6, 6, 6, 6], [13], [9, 9], [12, 12], [8, 8], [13], [10, 13], [10, 10], [11, 11], [7, 7], [13], [13]]
[[6, 13], [6, 13], [13], [10, 12], [8, 13], [9, 11], [9, 13], [6, 11], [5, 9], [13], [10, 10], [7, 7], [], [13], [6, 12], [11], [6, 13], [8, 13]]
[[6, 13], [8, 13], [13], [11], [6, 6, 6], [10], [7, 11], [12], [7, 13], [9, 12], [10, 10], [13], [13], [5], [8, 13], [9, 9], [6, 13], [13], [11]]
[[11], [8, 11], [6, 13], [13], [6, 12], [13], [13], [13], [10], [10, 10], [9, 9], [13], [6, 13], [11], [7, 7], [13], [8, 12], [5, 6, 6], [9], [13]]
[[6, 11], [13], [13], [13], [13], [13], [10], [7, 7], [6, 11], [11], [6, 13], [8, 8], [10, 10], [12], [9, 9], [6, 6], [12], [5, 9], [13], [13], [13]]
[[6, 10], [13], [6, 8], [13], [7], [10], [12], [13], [13], [8, 10], [9, 9], [11], [6, 6, 6], [9], [13], [7, 11], [13], [13], [12], [11], [13], [5, 13]]
[[6, 9], [13], [6, 11], [13], [13], [13], [7, 10], [13], [10], [11], [10], [], [7, 9], [8, 8], [6, 11], [5, 9], [13], [6, 6], [13], [12], [12], [13], [13]]
[[6, 6], [6, 11], [11], [13], [13], [7, 7], [13], [13], [10], [9], [13], [8, 8], [13], [12], [10], [6, 6], [9], [13], [12], [10], [9], [13], [13], [5, 11]]
[[13], [13], [13], [13], [6, 6], [6, 8], [11], [5, 10], [12], [13], [13], [9], [9], [8], [9], [10], [11], [13], [12], [13], [7, 7], [10], [6, 6], [13], [11]]
[[6, 10], [13], [13], [13], [6, 6], [9], [13], [5, 11], [8, 8], [12], [13], [13], [7, 7], [10], [6], [9], [12], [11], [13], [10], [6], [11], [], [9], [13], [13]]
[[11], [13], [13], [13], [13], [5, 6], [10], [13], [7, 7], [11], [13], [6, 6], [6, 8], [10], [], [13], [12], [8], [9], [9], [9], [12], [6], [11], [10], [13], [13]]
[[13], [6, 6], [13], [13], [13], [12], [6], [13], [10], [10], [11], [6, 6], [9], [13], [8], [10], [13], [9], [7, 7], [8], [5], [12], [], [9], [11], [11], [13], [13]]
[[6, 6], [13], [13], [5, 9], [6, 8], [11], [7, 7], [12], [9], [13], [13], [13], [13], [12], [10], [10], [13], [], [11], [10], [6, 6], [13], [], [11], [], [], [8], [9], [13]]
[[9], [6, 6], [13], [13], [13], [8], [9], [13], [13], [8], [6, 6], [6, 7], [12], [], [11], [], [], [11], [13], [12], [9], [13], [5, 7], [10], [], [10], [11], [10], [13], [13]]
-EndAllocation

Instance: [[1], [295], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [4, 6, 6, 6, 6, 7, 7, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [197, 132, 98, 78, 66, 57, 49, 44, 40, 36, 33, 30, 29, 26, 25, 24, 22, 21, 20, 20, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [148, 99, 74, 59, 50, 43, 37, 33, 30, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[4, 6, 6, 6, 6, 7, 7, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [8, 10, 10, 10, 10, 11, 11, 11, 12, 12]]
[[4, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 7, 7, 10, 10, 10, 10], [8, 9, 9, 11, 11, 11, 12, 12, 13]]
[[4, 10, 10, 10, 10, 11, 11, 11, 12], [6, 6, 6, 6, 7, 7, 12, 13, 13, 13], [8, 9, 9], [13, 13, 13, 13, 13, 13, 13]]
[[4, 8, 12], [7, 7, 13, 13, 13, 13], [6, 6, 6, 6, 11, 11, 11, 12], [13, 13, 13, 13, 13, 13], [9, 9, 10, 10, 10, 10]]
[[4, 11, 11, 11, 13, 13], [12, 12, 13, 13, 13], [9, 9], [7, 7, 10, 10, 10, 10], [6, 6, 6, 6, 8], [13, 13, 13, 13, 13]]
[[4, 13, 13, 13, 13], [12, 12, 13, 13], [6, 6, 6, 6], [10, 10, 10, 10], [8, 9, 9], [7, 7, 11, 11, 11], [13, 13, 13, 13]]
[[4, 13, 13, 13], [7, 7, 9, 9], [13, 13, 13], [12, 12, 13], [6, 6, 6, 6], [8, 11, 11, 11], [13, 13, 13], [10, 10, 10, 10]]
[[4, 13, 13, 13], [13, 13, 13], [9, 9, 13], [12, 12], [6, 6, 6, 6, 7, 7], [], [10, 10, 10, 10], [8, 11, 11, 11], [13, 13, 13]]
[[13, 13, 13], [10, 10, 10, 10], [6, 6, 6, 6, 8], [13, 13, 13], [11, 11, 11], [7, 7], [12, 12], [], [4, 9, 9, 13], [13, 13, 13]]
[[4, 13, 13], [13, 13], [8, 12, 12], [10, 10, 10], [13, 13], [9, 9], [], [7, 7, 11, 11], [6, 6, 6, 6, 11], [10, 13, 13], [13, 13]]
[[4, 13, 13], [13, 13], [13, 13], [], [10, 10, 10], [12, 12], [6, 6, 6, 6], [8], [11, 11, 11], [9, 9, 10], [7, 13, 13], [7, 13, 13]]
[[4, 13, 13], [13, 13], [11, 11], [], [8], [12, 12], [13, 13], [9, 9, 10], [6, 6, 6, 6], [10, 10, 10], [7, 7, 11], [13, 13], [13, 13]]
[[13, 13], [9, 9], [7, 7, 8], [10, 10], [], [11, 11], [6, 6, 6, 6], [12, 12], [4, 10, 10], [13, 13], [11], [13, 13], [13, 13], [13, 13]]
[[4, 10, 10], [6, 6, 6, 6], [8], [], [13, 13], [11, 11], [10, 10], [12, 12], [7, 7, 11], [13, 13], [13, 13], [9, 9], [], [13, 13], [13, 13]]
[[4, 9, 9], [10, 13], [13], [10, 13], [11, 13], [13], [7, 7, 8], [], [10, 13], [6, 6, 6, 6], [11, 11], [13], [13], [12, 12], [10, 13], [13]]
[[10, 13], [13], [8, 13], [11, 13], [13], [6, 6, 6, 6], [9, 9], [13], [11, 11], [7, 7, 10], [13], [12, 12], [], [10, 10], [13], [13], [4, 13]]
[[4, 11], [6, 6, 6], [13], [11, 11], [13], [13], [13], [8, 13], [9, 9], [13], [10, 10], [10, 10], [13], [13], [6, 12], [13], [7, 12], [7, 13]]
[[4, 11], [11], [13], [13], [6, 6, 6], [10, 10], [7, 11], [12], [7, 13], [13], [10, 10], [13], [13], [13], [8, 13], [9, 9], [6, 13], [12], [13]]
[[4, 13], [13], [13], [13], [13], [8], [13], [13], [10, 10], [10, 10], [9, 9], [13], [12], [11], [7, 11], [11], [12], [6, 6, 6], [7, 13], [6, 13]]
[[4, 6, 6], [12], [13], [13], [13], [13], [13], [7, 7], [6, 11], [11], [13], [8], [10, 10], [13], [9, 9], [11], [13], [13], [13], [6, 12], [10, 10]]
[[4, 13], [13], [13], [13], [7, 7], [13], [12], [13], [8, 10], [12], [9, 9], [11], [6, 6, 6], [10], [10], [13], [13], [6, 10], [11], [11], [13], [13]]
[[7, 10], [13], [13], [13], [8, 9], [12], [10], [13], [13], [13], [13], [11], [9], [13], [11], [6, 6], [10], [6, 11], [13], [10], [12], [13], [4, 6, 7]]
[[4, 6, 6], [13], [13], [13], [13], [7, 7], [13], [13], [12], [11], [6, 10], [8], [13], [12], [13], [11], [9], [9], [11], [10], [13], [13], [10], [6, 10]]
[[13], [13], [13], [13], [6, 6], [9], [11], [13], [12], [], [13], [9], [13], [13], [10], [11], [10], [10], [11], [13], [7, 7], [6, 10], [6, 8], [4, 12], [13]]
[[4, 6, 6], [13], [8], [10], [13], [7, 7], [13], [11], [10], [10], [13], [13], [6, 6], [], [12], [13], [11], [11], [9], [13], [10], [13], [12], [13], [13], [9]]
[[6, 6], [13], [13], [13], [13], [13], [9], [13], [7, 7], [11], [], [6, 6], [12], [10], [], [13], [11], [8], [10], [9], [13], [12], [10], [11], [4, 10], [13], [13]]
[[13], [6, 6], [13], [13], [11], [], [10], [13], [10], [10], [13], [6, 6], [], [], [8], [13], [13], [9], [7, 7], [12], [10], [12], [13], [4, 9], [11], [11], [13], [13]]
[[4, 9], [13], [13], [13], [8], [11], [11], [], [9], [7, 7], [], [13], [13], [12], [10], [10], [13], [], [11], [10], [6, 6], [10], [6, 6], [], [12], [13], [13], [13], [13]]
[[4, 7], [6, 6], [13], [13], [13], [8], [9], [13], [13], [], [6, 6], [7], [], [], [11], [], [13], [11], [13], [12], [12], [9], [13], [10], [10], [10], [11], [10], [13], [13]]
-EndAllocation

Instance: [[1], [294], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [3, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[8, 8, 8, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 6, 6, 6, 7, 7, 10, 10, 11, 11, 12, 12, 12]]
[[3, 13, 13, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 7, 7, 8, 8, 8, 11, 11, 12, 12, 12], [9, 9, 9, 10, 10, 13]]
[[3, 9, 9, 9, 10, 10], [13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 12, 12, 12, 13, 13, 13], [7, 7, 8, 8, 8, 11, 11]]
[[3], [6, 6, 6, 7, 7, 9, 9, 9, 10], [13, 13, 13, 13, 13, 13], [11, 11, 13, 13, 13, 13], [8, 8, 8, 10, 12, 12, 12]]
[[3, 8, 8, 8, 12, 12, 12], [13, 13, 13, 13, 13], [6, 6, 6, 9, 9, 9], [7, 7, 11, 11], [10, 10], [13, 13, 13, 13, 13]]
[[3, 13, 13, 13, 13], [8, 8, 8, 12, 12], [13, 13, 13, 13], [11, 11, 13, 13], [], [9, 9, 9, 10, 10], [6, 6, 6, 7, 7, 12]]
[[3, 13, 13, 13], [7, 7, 13, 13], [6, 13, 13, 13], [9, 12, 12, 12], [8, 8, 8, 9, 9], [11, 11], [13], [6, 6, 10, 10, 13]]
[[3, 13, 13, 13], [13, 13, 13], [13, 13, 13], [], [7, 7, 8, 8, 8], [12, 12, 12], [9, 9, 9], [10, 10, 11, 11], [6, 6, 6, 13]]
[[13, 13, 13], [6, 6, 6, 10, 10], [13, 13, 13], [7, 7, 12, 12], [3, 11, 11], [8, 8, 8], [], [9, 9, 9, 12], [13], [13, 13, 13]]
[[3, 8, 8, 8], [9, 9, 9], [7, 13, 13], [13, 13], [12, 12, 12], [], [13, 13], [11, 11], [6, 6, 6, 13], [10, 10, 13], [7, 13, 13]]
[[12, 12], [9, 9, 9], [6, 8, 8, 8], [13, 13], [10, 10], [6, 13, 13], [6, 13, 13], [7, 7], [11, 11], [13, 13], [12], [3, 13, 13]]
[[3, 9, 9, 9], [13, 13], [11, 11], [], [12, 13], [12, 12], [6, 6, 6], [10, 10], [7, 7, 13], [8, 8, 8], [13, 13], [13, 13], [13, 13]]
[[13, 13], [9, 9, 9], [3, 8, 8, 8], [12, 13], [], [7, 7, 13], [6, 6, 6], [12, 12], [10, 10], [13, 13], [], [11, 11], [13, 13], [13, 13]]
[[3, 13], [9, 9], [8, 8, 8], [13, 13], [12], [10, 10], [], [12, 12], [7, 7, 9], [13, 13], [6, 6, 6], [11, 11], [13], [13, 13], [13, 13]]
[[6, 6, 13], [10, 13], [13], [10, 13], [12, 13], [], [7, 7, 9], [9, 9], [], [13], [12, 13], [8, 8, 8], [13], [11, 11], [3, 6, 13], [12, 13]]
[[10, 13], [3, 7, 13], [13], [13], [13], [9, 9], [12, 12], [], [12], [7, 13], [9, 13], [11, 11], [13], [8, 8, 8], [13], [6, 6, 6], [10, 13]]
[[3, 12], [9, 13], [13], [11, 11], [13], [13], [13], [13], [9, 9], [13], [13], [7, 7], [8, 8], [13], [6, 6, 6], [10, 12], [10, 12], [8, 13]]
[[3, 13], [13], [13], [9, 12], [8, 8], [9, 9], [6, 6, 6], [10, 10], [13], [13], [11], [13], [7, 13], [13], [8, 12], [13], [13], [12], [7, 11]]
[[3, 13], [13], [13], [13], [11], [9, 9], [8, 12], [13], [13], [13], [13], [12], [11], [7, 12], [10, 10], [7, 9], [8, 8], [6, 6, 6], [13], [13]]
[[3, 10], [13], [8, 10], [13], [13], [13], [6, 11], [12], [7, 9], [13], [13], [13], [13], [7, 11], [8, 8], [6, 6], [12], [9, 9], [12], [13], [13]]
[[3, 13], [8, 8], [13], [13], [13], [13], [13], [10], [12], [9, 9], [7, 7], [10], [11], [12], [13], [6, 6, 6], [12], [13], [11], [8, 9], [13], [13]]
[[3, 13], [13], [13], [10], [13], [13], [11], [11], [8, 8], [12], [13], [13], [10], [9], [12], [6, 6], [7, 7], [6, 9], [13], [8, 9], [12], [13], [13]]
[[6, 9], [3, 13], [13], [13], [9], [13], [10], [13], [13], [8, 8], [6, 6], [12], [13], [11], [], [7, 7], [11], [12], [10], [13], [12], [8, 9], [13], [13]]
[[3, 13], [13], [13], [13], [13], [13], [11], [6, 10], [13], [13], [12], [9], [], [8, 8], [9], [10], [11], [9], [12], [12], [7, 7], [8], [6, 6], [13], [13]]
[[3, 13], [13], [13], [13], [12], [12], [11], [6, 10], [11], [8], [], [13], [], [7, 7], [9], [13], [9], [13], [9], [10], [8, 8], [13], [12], [6, 6], [13], [13]]
[[6, 6], [6], [13], [13], [13], [13], [13], [13], [7, 7], [8], [12], [13], [9], [], [12], [11], [12], [13], [9], [9], [8], [11], [13], [10], [10], [13], [3, 8]]
[[13], [13], [13], [13], [3, 10], [12], [13], [12], [10], [], [13], [6, 8], [9], [], [9], [], [12], [7, 7], [13], [6, 6], [8], [13], [8], [9], [11], [11], [13], [13]]
[[6, 6], [13], [7, 7], [13], [3, 8], [11], [11], [13], [], [13], [9], [12], [13], [], [9], [8], [10], [], [10], [13], [12], [12], [9], [8], [13], [13], [6], [13], [13]]
[[3, 7], [6, 6], [9], [13], [13], [10], [9], [13], [13], [8], [6], [7], [12], [13], [], [13], [13], [10], [], [12], [9], [13], [8], [8], [], [11], [12], [11], [13], [13]]
-EndAllocation

Instance: [[1], [293], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [2, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [196, 130, 98, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [147, 98, 74, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[3, 5, 6, 7, 8, 8, 8, 8, 10, 12, 12, 12], [2, 4, 7, 7, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [3, 4, 5, 6, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13], [2, 7, 7, 7, 9, 10, 11, 11, 12, 12, 12, 13, 13]]
[[13], [2, 6, 7, 7, 7, 11, 11, 13, 13, 13], [4, 5, 9, 13, 13, 13, 13, 13, 13], [3, 8, 8, 8, 8, 10, 12, 12, 12, 13]]
[[], [13, 13, 13, 13, 13, 13], [2, 3, 9, 11, 11, 13, 13, 13], [5, 6, 7, 7, 7, 12, 12, 12], [4, 8, 8, 8, 8, 10, 13, 13]]
[[], [2, 6, 7, 7, 7, 9, 13, 13], [3, 5, 13, 13, 13, 13], [4, 11, 11, 12, 12, 12], [8, 8, 8, 8, 13], [10, 13, 13, 13, 13]]
[[], [4, 13, 13, 13, 13], [7, 9, 12, 12, 12], [5, 7, 7, 11], [2, 13, 13, 13, 13], [3, 10, 13, 13, 13], [6, 8, 8, 8, 8, 11]]
[[], [13, 13, 13], [8, 8, 13, 13], [6, 13, 13, 13], [3, 4, 11, 11], [2, 5, 12, 12, 12], [7, 7, 7, 8, 8, 10], [9, 13, 13, 13]]
[[], [3, 10, 13, 13], [12, 12, 12], [7, 7, 7, 9, 13], [4, 6, 13, 13], [2, 5, 13, 13], [8, 8, 8, 8], [11, 11, 13], [13, 13, 13]]
[[], [8, 13, 13], [12, 12, 12], [4, 8, 8, 8, 9], [13, 13, 13], [10, 13, 13], [7, 7, 7, 13], [3, 5, 13, 13], [2, 6], [11, 11, 13]]
[[], [2, 3, 13, 13], [13], [13, 13], [5, 6, 8, 8, 8], [11, 11, 13], [7, 7, 7, 9], [4, 8, 12, 12], [13, 13], [10, 12, 13], [13, 13]]
[[], [2, 6, 13], [10, 13], [13, 13], [13, 13], [5, 12, 13], [9, 11, 11], [8, 8, 8, 8], [13, 13], [4, 12, 12], [13, 13], [3, 7, 7, 7]]
[[], [13, 13], [12, 12], [3, 13, 13], [13, 13], [8, 8, 8], [4, 7, 7, 7], [13], [12, 13], [13, 13], [11, 11], [2, 6, 8, 10], [5, 9, 13]]
[[], [8, 8, 8], [13, 13], [2, 13, 13], [10, 13], [13, 13], [7, 7, 7], [4, 12, 12], [5], [6, 11, 11], [8, 12], [9, 13], [3, 13], [13, 13]]
[[], [12, 12], [13, 13], [5, 13], [7, 7, 7], [3, 11], [9, 13], [2, 13], [13, 13], [8, 8, 8], [12, 13], [10, 13], [6, 8], [13, 13], [4, 11]]
[[13], [4, 13], [3, 9, 13], [13], [13], [8, 8, 8], [10, 11], [13], [8, 13], [12, 12], [7, 7, 7], [5, 11], [2, 13], [12, 13], [13], [6, 13]]
[[13], [12, 12], [11, 11], [7, 7, 7], [4, 8, 8], [13], [9, 13], [13], [13], [13], [13], [8, 8], [2, 5, 13], [6, 13], [10, 12], [3, 13], [13]]
[[12], [13], [10], [4, 13], [2, 3, 13], [13], [8, 13], [11, 11], [9, 13], [13], [13], [6, 8, 8], [8, 13], [12], [13], [13], [5, 12], [7, 7, 7]]
[[13], [9], [13], [3, 11], [12], [6, 13], [8, 13], [4, 13], [13], [13], [7, 7, 7], [13], [12], [5, 12], [10, 11], [8, 13], [8, 8], [13], [2, 13]]
[[13], [13], [3, 13], [12], [13], [13], [13], [7, 7], [5, 13], [8, 10], [4, 12], [6, 7], [13], [13], [8, 8], [2, 11], [13], [9, 11], [8, 12], [13]]
[[12], [13], [13], [6, 12], [2, 5, 10], [13], [13], [12], [13], [13], [4, 11], [7, 11], [13], [13], [3, 13], [13], [8, 8], [7, 7], [9], [13], [8, 8]]
[[13], [10], [13], [13], [7, 7], [6, 12], [8], [5, 13], [13], [8, 8], [2, 13], [13], [12], [4, 13], [3, 8], [13], [13], [11], [9], [13], [7, 11], [12]]
[[13], [13], [13], [8, 8], [13], [9], [12], [13], [12], [13], [13], [13], [13], [7, 7], [12], [2, 10], [13], [11], [8, 8], [4, 6, 7], [11], [5], [3, 13]]
[[], [12], [13], [2, 7, 7], [6, 11], [9], [13], [4, 13], [13], [13], [13], [8, 8], [11], [], [12], [8, 8], [5], [13], [13], [13], [13], [12], [3, 13], [7, 10]]
[[13], [12], [7, 7], [8, 8], [11], [], [13], [11], [13], [13], [13], [12], [8, 8], [10], [3, 13], [7], [13], [13], [9], [13], [6], [2, 13], [13], [4, 12], [5]]
[[13], [4], [7, 7], [13], [13], [12], [10], [13], [], [13], [2, 6], [12], [11], [13], [11], [8, 8], [13], [8, 8], [3, 13], [13], [12], [13], [5], [9], [7], [13]]
[[13], [12], [13], [13], [11], [12], [3, 6], [10], [13], [4, 7], [12], [13], [13], [2, 5], [11], [9], [], [8], [13], [8], [8], [8], [13], [13], [13], [7, 7], [13]]
[[13], [13], [5], [], [3, 11], [13], [13], [8], [13], [12], [7, 7], [13], [13], [10], [2, 7], [9], [13], [4, 8], [12], [12], [11], [13], [], [8], [], [6, 8], [13], [13]]
[[12], [4, 8], [8], [2, 12], [5], [13], [13], [13], [11], [13], [12], [13], [], [13], [13], [11], [13], [10], [13], [8], [6], [7], [7, 7], [9], [13], [8], [3], [13], []]
[[7], [13], [11], [13], [5, 7], [13], [], [8], [11], [13], [13], [3], [12], [4, 6], [13], [12], [13], [13], [], [7], [10], [9], [13], [12], [13], [8], [2, 8], [13], [], [8]]
-EndAllocation

Instance: [[1], [292], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [1, 3, 3, 6, 6, 6, 6, 7, 7, 7, 8, 9, 10, 10, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [194, 130, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [146, 98, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[1, 6, 6, 6, 6, 7, 7, 7, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13], [3, 3, 8, 9, 10, 10, 11, 11, 13, 13, 13]]
[[1, 3, 3, 7, 7, 7, 8, 11, 13, 13, 13, 13, 13, 13], [10, 10, 12, 13, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 9, 11]]
[[9, 10, 10], [3, 3, 13, 13, 13, 13, 13, 13, 13], [1, 12, 13, 13, 13, 13, 13, 13], [6, 6, 6, 6, 7, 7, 7, 8, 11, 11]]
[[1, 3, 3, 13, 13, 13, 13, 13], [7, 7, 7, 13, 13], [6, 6, 6, 6, 9, 10, 10], [13, 13, 13, 13, 13, 13], [8, 11, 11, 12]]
[[1, 12, 13, 13, 13, 13], [10, 10, 13, 13, 13], [6, 6, 6, 6, 8, 9, 13], [3, 3, 7, 7, 7, 11, 11], [], [13, 13, 13, 13, 13]]
[[13, 13, 13, 13], [8, 13, 13, 13], [13, 13, 13, 13], [11, 11, 13], [3, 3, 13], [1, 6, 9, 10, 10], [6, 6, 6, 7, 7, 7, 12]]
[[3, 3, 13, 13, 13], [7, 7, 7, 13, 13], [13, 13, 13], [12, 13, 13], [6, 6, 6, 6, 8, 9], [11, 11], [1, 13], [10, 10, 13, 13]]
[[13, 13, 13], [13, 13, 13], [13, 13, 13], [1, 13, 13, 13], [7, 7, 7, 8], [12], [9, 10, 10], [3, 3, 11, 11], [6, 6, 6, 6, 13]]
[[10, 13, 13], [6, 6, 6, 6, 10], [13, 13, 13], [7, 7, 7, 13], [11, 11, 13], [8], [1], [3, 3, 9, 12], [13, 13, 13], [13, 13, 13]]
[[1, 8, 13, 13], [12, 13], [7, 7, 7, 13], [13, 13], [13], [3, 3, 13], [13, 13], [11, 11], [6, 6, 6, 6, 9], [10, 10, 13], [13, 13]]
[[12, 13], [9, 13], [8, 13], [13, 13], [6, 6, 10, 10], [1, 6, 13, 13], [6, 13, 13], [7, 7, 7], [3, 3, 11, 11], [], [13, 13], [13, 13]]
[[13, 13], [3, 3, 13], [7, 11, 11], [13, 13], [13, 13], [12, 13], [6, 6, 6, 6], [9, 10, 10], [7, 7, 13], [8], [1], [13, 13], [13, 13]]
[[13, 13], [9, 13], [7, 7, 8], [12, 13], [3, 3, 13], [7, 11], [6, 6, 6, 6], [11], [10, 10], [13, 13], [13, 13], [], [1, 13, 13], [13, 13]]
[[13, 13], [9, 13], [8], [], [13, 13], [13, 13], [3, 3], [10, 12], [1, 7, 7, 10], [13, 13], [6, 6, 6, 6], [11, 11], [7], [13, 13], [13, 13]]
[[6, 6, 13], [10, 13], [13], [6, 6, 13], [12, 13], [13], [7, 13], [1, 9, 13], [13], [7, 7], [13], [8], [13], [11, 11], [10, 13], [3, 3, 13]]
[[6, 13], [10, 13], [6, 13], [13], [13], [9, 13], [3, 3, 13], [13], [13], [7, 13], [12], [11, 11], [], [8, 13], [1, 7, 13], [6, 6, 7], [10, 13]]
[[3, 6, 13], [13], [10], [11, 11], [13], [13], [13], [1, 6, 13], [9, 13], [13], [13], [7, 7, 7], [13], [13], [6, 12], [13], [3, 6, 10], [8, 13]]
[[1, 6, 13], [6, 13], [13], [13], [6, 13], [13], [3, 3, 13], [10, 10], [13], [9, 11], [13], [13], [7, 7, 7], [6, 13], [8, 12], [], [11], [13], [13]]
[[6, 6, 6], [6, 7], [7, 13], [13], [11], [9, 11], [1, 13], [3, 3, 13], [13], [13], [13], [13], [13], [13], [10, 10], [7, 13], [12], [8], [13], [13]]
[[13], [6, 7], [10], [13], [7, 11], [13], [13], [13], [7, 11], [13], [13], [1, 3, 3, 10], [13], [13], [13], [6, 6, 6], [13], [8, 9], [12], [13], [13]]
[[13], [7, 8], [7, 11], [13], [6, 6, 6], [13], [13], [13], [13], [13], [13], [10], [11], [13], [13], [6, 10], [13], [], [3, 3, 12], [1, 7, 9], [13], [13]]
[[1, 6, 7], [13], [3, 3], [13], [13], [13], [11], [11], [13], [13], [10], [13], [8, 9], [13], [12], [13], [13], [6, 6], [13], [13], [6, 7], [13], [7, 10]]
[[6, 6], [13], [13], [13], [13], [1, 13], [6, 11], [13], [13], [8], [13], [7], [13], [3, 3, 11], [13], [7, 7], [], [10], [12], [10], [6, 9], [13], [13], [13]]
[[13], [13], [13], [13], [7], [13], [11], [6, 6], [13], [13], [10], [8], [13], [13], [], [10], [11], [13], [12], [13], [7, 7], [1, 13], [6, 6], [13], [3, 3, 9]]
[[13], [11], [3, 3, 6], [13], [12], [13], [11], [13], [13], [13], [13], [6, 6], [13], [7, 7], [], [9], [8], [13], [10], [10], [13], [1], [6, 7], [13], [13], [13]]
[[6, 6], [13], [13], [13], [13], [13], [13], [11], [7], [13], [13], [13], [6, 6], [13], [], [], [12], [7, 7], [9], [], [8], [11], [13], [3, 10], [1, 3, 10], [13], [13]]
[[13], [13], [10], [13], [12], [13], [13], [13], [10], [7], [13], [6, 6], [3, 3], [13], [13], [], [8], [7, 7], [13], [6, 6], [13], [], [], [1, 9], [11], [11], [13], [13]]
[[6, 6], [9], [13], [13], [13], [11], [6, 7], [13], [13], [13], [13], [3, 3, 6], [7], [11], [8], [13], [10], [], [10], [13], [], [12], [], [], [13], [13], [7], [1, 13], [13]]
[[13], [6, 6], [13], [13], [13], [1, 10], [7], [13], [13], [13], [13], [7], [13], [], [], [], [], [10], [9], [12], [13], [3, 3], [6, 6], [8], [13], [11], [13], [7], [11], [13]]
-EndAllocation

Instance: [[1], [291], 30]
UB Competitive Ratio: 1.3333333333333333Bag sizes: [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]; Results for m' = 2,...,30. UB Alg: [194, 129, 97, 78, 65, 56, 49, 44, 40, 36, 33, 30, 28, 26, 25, 24, 22, 21, 20, 18, 18, 17, 17, 16, 16, 14, 14, 14, 13], Opt: [146, 97, 73, 59, 49, 42, 37, 33, 30, 27, 25, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10]
Allocation for m' = 2,...,30:
-StartAllocation
[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 13, 13], [11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 13, 13], [11, 12, 13, 13, 13, 13, 13, 13, 13, 13]]
[[13, 13], [11, 13, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13], [12, 13, 13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13, 13], [11, 13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [11, 12, 13, 13, 13], [13, 13, 13], [13, 13, 13, 13, 13]]
[[], [13, 13, 13, 13], [12, 13], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [13, 13, 13, 13], [5, 11, 13, 13, 13], [13, 13, 13, 13]]
[[13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [11, 13, 13], [5, 5, 5, 5, 5, 5, 5, 12], [5, 5, 5, 5, 5, 13], [13, 13, 13]]
[[], [13, 13, 13], [12], [5, 13, 13, 13], [5, 13, 13, 13], [5, 5, 5, 5, 5, 5, 5, 5], [5, 13, 13, 13], [5, 11, 13], [13, 13, 13]]
[[], [13, 13, 13], [11, 12, 13], [13, 13, 13], [13, 13, 13], [13, 13, 13], [5, 5, 5, 5, 13], [5, 5, 5, 5, 5, 5, 5, 5], [], [13, 13]]
[[13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5, 5], [11, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [12, 13], [13, 13]]
[[], [13, 13], [13, 13], [5, 5, 5, 5, 5, 5], [13, 13], [5, 5, 5, 5, 5, 5], [11, 13], [13, 13], [13, 13], [12, 13], [13, 13], [13, 13]]
[[], [13, 13], [5, 5, 5, 12], [13, 13], [13, 13], [13, 13], [5, 5, 5, 13], [13], [13, 13], [13, 13], [11], [13, 13], [5, 5, 5, 5, 5, 5]]
[[], [13, 13], [13, 13], [13, 13], [13, 13], [13, 13], [5, 5, 5, 5, 5], [12, 13], [5, 5, 5, 5, 5], [11, 13], [], [13, 13], [13], [5, 5, 13]]
[[], [12], [13, 13], [5, 5, 5, 5, 5], [13, 13], [13, 13], [5, 5, 5, 5, 5], [13, 13], [], [13, 13], [], [5, 5, 13], [13, 13], [13, 13], [11, 13]]
[[13], [5, 5, 13], [13], [5, 5, 13], [13], [13], [11, 13], [13], [13], [12, 13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [13], [13]]
[[13], [13], [11, 13], [5, 5, 13], [12], [13], [13], [13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [5, 5, 13], [13], [5, 5, 13], [13], [13], [13]]
[[13], [5, 13], [5, 13], [13], [13], [5, 13], [5, 13], [5, 13], [5, 13], [13], [5, 13], [5, 13], [5, 13], [5, 5, 12], [13], [11], [5, 13], [13]]
[[13], [13], [5, 13], [13], [5, 5, 5, 5], [13], [13], [5, 13], [13], [13], [11], [13], [5, 13], [5, 12], [5, 13], [13], [5, 13], [5, 13], [5, 13]]
[[13], [5, 13], [13], [13], [13], [13], [13], [13], [5, 5, 5, 5], [5, 13], [12], [5, 5, 5, 5], [13], [5, 13], [5, 13], [13], [13], [11], [13], [13]]
[[12], [13], [13], [13], [5, 5, 5], [5, 13], [13], [13], [13], [13], [5, 11], [13], [13], [13], [5, 13], [13], [5, 5, 5], [13], [5, 5, 5], [13], [13]]
[[13], [5, 13], [13], [13], [13], [13], [13], [5, 5, 5], [5, 5, 5], [13], [13], [13], [13], [5, 13], [13], [13], [5, 13], [12], [], [13], [11], [5, 5, 5]]
[[13], [13], [13], [13], [5, 5, 5], [13], [13], [13], [13], [], [13], [13], [13], [13], [12], [13], [13], [11], [13], [5, 5, 5], [13], [5, 5, 5], [5, 5, 5]]
[[], [13], [13], [13], [11], [13], [5, 5, 5], [13], [13], [13], [13], [13], [13], [5, 5, 5], [13], [], [5, 5, 5], [13], [13], [13], [13], [12], [13], [5, 5, 5]]
[[13], [13], [13], [13], [13], [], [13], [11], [13], [13], [], [13], [13], [13], [], [5, 5, 5], [13], [13], [13], [13], [5, 5, 5], [13], [5, 5, 5], [12], [5, 5, 5]]
[[13], [13], [13], [13], [13], [13], [13], [13], [], [13], [13], [], [], [13], [11], [13], [5, 5, 5], [13], [13], [], [12], [13], [5, 5, 5], [5, 5, 5], [5, 5, 5], [13]]
[[13], [12], [], [13], [11], [5, 5], [13], [5, 5], [13], [13], [13], [5, 5], [13], [5, 5], [13], [13], [], [5, 5], [13], [], [13], [13], [13], [13], [13], [5, 5], [13]]
[[13], [13], [5, 5], [], [13], [13], [13], [5, 5], [13], [5, 5], [], [5, 5], [13], [], [5, 5], [13], [13], [13], [12], [13], [11], [13], [5, 5], [13], [], [13], [13], [13]]
[[12], [], [], [13], [5, 5], [13], [13], [5, 5], [13], [13], [5, 5], [13], [], [5, 5], [5, 5], [11], [13], [13], [5, 5], [13], [13], [13], [13], [13], [13], [13], [], [13], []]
[[13], [13], [11], [13], [5, 5], [13], [], [], [13], [5, 5], [13], [13], [13], [], [13], [5, 5], [13], [5, 5], [], [5, 5], [13], [13], [13], [12], [13], [13], [13], [5, 5], [], []]
-EndAllocation

Instance: [[1], [110], 11]
UB Competitive Ratio: 1.3272727272727274Bag sizes: [6, 6, 6, 6, 11, 11, 12, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[12, 13, 13], [6, 6, 6, 6, 11, 11, 13, 13]]
[[13, 13], [6, 6, 6, 6, 11, 11], [12, 13, 13]]
[[13], [11, 11, 12], [6, 6, 6, 6, 13], [13, 13]]
[[12], [13, 13], [6, 6, 6, 6], [11, 11], [13, 13]]
[[13], [13], [6, 6, 6, 6], [11, 11], [13], [12, 13]]
[[6, 11], [13], [13], [6, 13], [12], [6, 13], [6, 11]]
[[13], [6, 6, 6], [6, 12], [13], [11], [13], [13], [11]]
[[13], [13], [6, 6], [12], [13], [11], [11], [13], [6, 6]]
[[13], [12], [11], [13], [6, 6], [13], [13], [], [6, 6], [11]]
[[13], [6, 6], [], [13], [13], [6, 6], [], [11], [12], [13], [11]]
-EndAllocation

Instance: [[1], [109], 11]
UB Competitive Ratio: 1.3272727272727274Bag sizes: [6, 6, 6, 6, 9, 11, 13, 13, 13, 13, 13]; Results for m' = 2,...,11. UB Alg: [73, 49, 37, 29, 25, 21, 18, 17, 14, 13], Opt: [55, 37, 28, 22, 19, 16, 14, 13, 11, 10]
Allocation for m' = 2,...,11:
-StartAllocation
[[13, 13, 13], [6, 6, 6, 6, 9, 11, 13, 13]]
[[13], [6, 6, 6, 6, 11, 13], [9, 13, 13, 13]]
[[13], [11, 13, 13], [6, 6, 6, 6, 9], [13, 13]]
[[6], [13, 13], [6, 6, 6, 9], [11, 13], [13, 13]]
[[13], [13], [6, 6, 6, 6], [11, 13], [13], [9, 13]]
[[13], [6, 13], [6, 6, 6], [13], [13], [13], [9, 11]]
[[13], [6, 6, 6], [6, 9], [13], [11], [13], [13], [13]]
[[13], [13], [13], [6, 6], [13], [9], [11], [13], [6, 6]]
[[13], [], [6, 6], [13], [9], [13], [13], [13], [6, 6], [11]]
[[13], [6, 6], [], [13], [9], [13], [], [11], [13], [13], [6, 6]]
-EndAllocation

Instance: [[1], [55], 8]
UB Competitive Ratio: 1.3214285714285714Bag sizes: [4, 4, 4, 7, 9, 9, 9, 9]; Results for m' = 2,...,8. UB Alg: [37, 25, 18, 14, 13, 10, 9], Opt: [28, 19, 14, 11, 10, 8, 7]
Allocation for m' = 2,...,8:
-StartAllocation
[[9, 9, 9, 9], [4, 4, 4, 7]]
[[9], [7, 9, 9], [4, 4, 4, 9]]
[[9], [7, 9], [4, 4, 4], [9, 9]]
[[9], [4, 9], [4, 9], [4, 7], [9]]
[[9], [9], [4, 4, 4], [9], [7], [9]]
[[7], [4], [9], [4, 4], [9], [9], [9]]
[[], [9], [9], [9], [9], [4, 4], [4], [7]]
-EndAllocation

Instance: [[1], [55], 7]
UB Competitive Ratio: 1.3214285714285714Bag sizes: [6, 6, 7, 8, 9, 9, 10]; Results for m' = 2,...,7. UB Alg: [37, 25, 18, 14, 13, 10], Opt: [28, 19, 14, 11, 10, 8]
Allocation for m' = 2,...,7:
-StartAllocation
[[6, 6, 7, 8, 10], [9, 9]]
[[7, 8, 10], [6, 6, 9], [9]]
[[9, 9], [8], [6, 6], [7, 10]]
[[6, 7], [6, 8], [9], [9], [10]]
[[6, 6], [8], [7], [9], [9], [10]]
[[9], [10], [6], [7], [6], [9], [8]]
-EndAllocation

Instance: [[1], [55], 6]
UB Competitive Ratio: 1.3214285714285714Bag sizes: [2, 2, 12, 13, 13, 13]; Results for m' = 2,...,6. UB Alg: [37, 25, 18, 14, 13], Opt: [28, 19, 14, 11, 10]
Allocation for m' = 2,...,6:
-StartAllocation
[[12, 13], [2, 2, 13, 13]]
[[13], [12, 13], [2, 2, 13]]
[[13], [2, 2, 12], [13], [13]]
[[13], [13], [2, 2], [13], [12]]
[[], [12], [13], [13], [13], [2, 2]]
-EndAllocation

Instance: [[1], [50], 5]
UB Competitive Ratio: 1.32Bag sizes: [7, 8, 10, 12, 13]; Results for m' = 2,...,5. UB Alg: [33, 22, 17, 13], Opt: [25, 17, 13, 10]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 8, 12], [10, 13]]
[[8, 12], [7, 10], [13]]
[[7, 8], [10], [13], [12]]
[[12], [13], [8], [10], [7]]
-EndAllocation

Instance: [[1], [49], 5]
UB Competitive Ratio: 1.32Bag sizes: [8, 8, 10, 10, 13]; Results for m' = 2,...,5. UB Alg: [33, 22, 17, 13], Opt: [25, 17, 13, 10]
Allocation for m' = 2,...,5:
-StartAllocation
[[8, 8, 13], [10, 10]]
[[8, 13], [10, 10], [8]]
[[10], [10], [13], [8, 8]]
[[10], [13], [10], [8], [8]]
-EndAllocation

Instance: [[1], [64], 10]
UB Competitive Ratio: 1.3181818181818181Bag sizes: [4, 4, 4, 4, 4, 8, 9, 9, 9, 9]; Results for m' = 2,...,10. UB Alg: [42, 29, 21, 17, 14, 13, 10, 10, 9], Opt: [32, 22, 16, 13, 11, 10, 8, 8, 7]
Allocation for m' = 2,...,10:
-StartAllocation
[[9, 9, 9], [4, 4, 4, 4, 4, 8, 9]]
[[9], [4, 4, 4, 4, 4, 9], [8, 9, 9]]
[[4, 4], [9, 9], [4, 4, 4, 8], [9, 9]]
[[9], [4, 9], [8, 9], [4, 4, 4, 4], [9]]
[[9], [4, 8], [9], [9], [4, 4, 4], [4, 9]]
[[9], [8], [4, 4, 4], [9], [4, 4], [9], [9]]
[[9], [9], [4], [9], [9], [4, 4], [4, 4], [8]]
[[9], [4, 4], [4], [9], [9], [9], [8], [4, 4], []]
[[9], [9], [9], [4], [], [4, 4], [9], [8], [4, 4], []]
-EndAllocation

Instance: [[1], [64], 8]
UB Competitive Ratio: 1.3181818181818181Bag sizes: [6, 6, 7, 8, 8, 9, 10, 10]; Results for m' = 2,...,8. UB Alg: [42, 29, 21, 17, 14, 13, 10], Opt: [32, 22, 16, 13, 11, 10, 8]
Allocation for m' = 2,...,8:
-StartAllocation
[[8, 10, 10], [6, 6, 7, 8, 9]]
[[8, 8, 9], [6, 6], [7, 10, 10]]
[[6, 6, 9], [7], [8, 8], [10, 10]]
[[8, 8], [10], [7, 9], [6, 10], [6]]
[[6, 7], [10], [6, 8], [10], [9], [8]]
[[8], [9], [10], [10], [8], [6, 7], [6]]
[[6], [8], [10], [8], [9], [10], [6], [7]]
-EndAllocation

Instance: [[1], [64], 7]
UB Competitive Ratio: 1.3181818181818181Bag sizes: [5, 5, 5, 11, 12, 13, 13]; Results for m' = 2,...,7. UB Alg: [42, 29, 21, 17, 14, 13], Opt: [32, 22, 16, 13, 11, 10]
Allocation for m' = 2,...,7:
-StartAllocation
[[12, 13], [5, 5, 5, 11, 13]]
[[11], [13, 13], [5, 5, 5, 12]]
[[13], [5, 11], [5, 12], [5, 13]]
[[12], [13], [5, 5, 5], [13], [11]]
[[12], [11], [5, 5], [5], [13], [13]]
[[13], [12], [], [11], [13], [5, 5], [5]]
-EndAllocation

Instance: [[1], [38], 6]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [5, 5, 6, 7, 7, 8]; Results for m' = 2,...,6. UB Alg: [25, 17, 13, 10, 9], Opt: [19, 13, 10, 8, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 5, 6, 8], [7, 7]]
[[7, 8], [5, 5, 7], [6]]
[[6, 7], [7], [8], [5, 5]]
[[5, 5], [7], [8], [6], [7]]
[[6], [5], [7], [7], [5], [8]]
-EndAllocation

Instance: [[1], [37], 6]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [5, 5, 5, 7, 7, 8]; Results for m' = 2,...,6. UB Alg: [25, 17, 13, 10, 9], Opt: [19, 13, 10, 8, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[5, 5, 5, 8], [7, 7]]
[[7, 7], [5, 5, 5], [8]]
[[5, 5], [7], [8], [5, 7]]
[[5, 5], [7], [8], [5], [7]]
[[5], [5], [7], [7], [5], [8]]
-EndAllocation

Instance: [[1], [38], 5]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [6, 6, 6, 10, 10]; Results for m' = 2,...,5. UB Alg: [25, 17, 13, 10], Opt: [19, 13, 10, 8]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 6, 6], [10, 10]]
[[6, 10], [6, 10], [6]]
[[6, 6], [10], [6], [10]]
[[10], [10], [6], [6], [6]]
-EndAllocation

Instance: [[1], [37], 5]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [6, 6, 7, 8, 10]; Results for m' = 2,...,5. UB Alg: [25, 17, 13, 10], Opt: [19, 13, 10, 8]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 6, 7], [8, 10]]
[[7, 10], [6, 8], [6]]
[[6, 7], [8], [6], [10]]
[[8], [10], [6], [6], [7]]
-EndAllocation

Instance: [[1], [38], 4]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [7, 7, 12, 12]; Results for m' = 2,...,4. UB Alg: [25, 17, 13], Opt: [19, 13, 10]
Allocation for m' = 2,...,4:
-StartAllocation
[[12, 12], [7, 7]]
[[7, 7], [12], [12]]
[[7], [12], [7], [12]]
-EndAllocation

Instance: [[1], [37], 4]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [7, 7, 11, 12]; Results for m' = 2,...,4. UB Alg: [25, 17, 13], Opt: [19, 13, 10]
Allocation for m' = 2,...,4:
-StartAllocation
[[11, 12], [7, 7]]
[[7, 7], [11], [12]]
[[7], [12], [7], [11]]
-EndAllocation

Instance: [[1], [76], 8]
UB Competitive Ratio: 1.3157894736842106Bag sizes: [4, 4, 4, 12, 13, 13, 13, 13]; Results for m' = 2,...,8. UB Alg: [50, 34, 25, 21, 17, 14, 13], Opt: [38, 26, 19, 16, 13, 11, 10]
Allocation for m' = 2,...,8:
-StartAllocation
[[4, 4, 4, 12, 13, 13], [13, 13]]
[[13], [4, 13, 13], [4, 4, 12, 13]]
[[13], [12, 13], [4, 4, 4, 13], [13]]
[[13], [13], [12], [4, 13], [4, 4, 13]]
[[13], [4, 13], [4, 13], [4, 12], [], [13]]
[[13], [13], [13], [4, 4, 4], [13], [12], []]
[[13], [12], [13], [], [4, 4, 4], [13], [13], []]
-EndAllocation

Instance: [[1], [32], 5]
UB Competitive Ratio: 1.3125Bag sizes: [5, 5, 6, 7, 9]; Results for m' = 2,...,5. UB Alg: [21, 14, 10, 9], Opt: [16, 11, 8, 7]
Allocation for m' = 2,...,5:
-StartAllocation
[[5, 5, 6], [7, 9]]
[[5, 7], [6], [5, 9]]
[[6], [9], [7], [5, 5]]
[[5], [7], [9], [6], [5]]
-EndAllocation

Instance: [[1], [31], 5]
UB Competitive Ratio: 1.3125Bag sizes: [6, 8, 8, 9]; Results for m' = 2,...,5. UB Alg: [21, 14, 10, 9], Opt: [16, 11, 8, 7]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 9], [8, 8]]
[[9], [8], [6, 8]]
[[8], [9], [6], [8]]
[[], [8], [8], [6], [9]]
-EndAllocation

Instance: [[1], [32], 4]
UB Competitive Ratio: 1.3125Bag sizes: [6, 7, 9, 10]; Results for m' = 2,...,4. UB Alg: [21, 14, 10], Opt: [16, 11, 8]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 10], [6, 7]]
[[6, 7], [10], [9]]
[[6], [9], [7], [10]]
-EndAllocation

Instance: [[1], [31], 4]
UB Competitive Ratio: 1.3125Bag sizes: [6, 6, 9, 10]; Results for m' = 2,...,4. UB Alg: [21, 14, 10], Opt: [16, 11, 8]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 10], [6, 6]]
[[10], [6, 6], [9]]
[[9], [6], [6], [10]]
-EndAllocation

Instance: [[1], [39], 6]
UB Competitive Ratio: 1.3076923076923077Bag sizes: [4, 4, 4, 9, 9, 9]; Results for m' = 2,...,6. UB Alg: [26, 17, 13, 10, 9], Opt: [20, 13, 10, 8, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[9, 9], [4, 4, 4, 9]]
[[9], [4, 4, 9], [4, 9]]
[[9], [4, 9], [4, 4], [9]]
[[9], [9], [4], [4, 4], [9]]
[[9], [9], [], [4], [9], [4, 4]]
-EndAllocation

Instance: [[1], [39], 5]
UB Competitive Ratio: 1.3076923076923077Bag sizes: [6, 6, 8, 9, 10]; Results for m' = 2,...,5. UB Alg: [26, 17, 13, 10], Opt: [20, 13, 10, 8]
Allocation for m' = 2,...,5:
-StartAllocation
[[6, 8, 10], [6, 9]]
[[6, 8], [9], [6, 10]]
[[8], [6, 6], [9], [10]]
[[6], [6], [8], [10], [9]]
-EndAllocation

Instance: [[1], [39], 4]
UB Competitive Ratio: 1.3076923076923077Bag sizes: [7, 8, 11, 13]; Results for m' = 2,...,4. UB Alg: [26, 17, 13], Opt: [20, 13, 10]
Allocation for m' = 2,...,4:
-StartAllocation
[[7, 8, 11], [13]]
[[7, 8], [11], [13]]
[[11], [13], [8], [7]]
-EndAllocation

Instance: [[1], [20], 5]
UB Competitive Ratio: 1.3Bag sizes: [3, 3, 4, 5, 5]; Results for m' = 2,...,5. UB Alg: [13, 9, 6, 5], Opt: [10, 7, 5, 4]
Allocation for m' = 2,...,5:
-StartAllocation
[[3, 4, 5], [3, 5]]
[[3, 3], [4, 5], [5]]
[[3, 3], [5], [5], [4]]
[[5], [3], [5], [4], [3]]
-EndAllocation

Instance: [[1], [19], 5]
UB Competitive Ratio: 1.3Bag sizes: [3, 3, 3, 5, 5]; Results for m' = 2,...,5. UB Alg: [13, 9, 6, 5], Opt: [10, 7, 5, 4]
Allocation for m' = 2,...,5:
-StartAllocation
[[3, 5, 5], [3, 3]]
[[3, 3, 3], [5], [5]]
[[3, 3], [5], [5], [3]]
[[3], [3], [5], [3], [5]]
-EndAllocation

Instance: [[1], [20], 4]
UB Competitive Ratio: 1.3Bag sizes: [4, 4, 6, 6]; Results for m' = 2,...,4. UB Alg: [13, 9, 6], Opt: [10, 7, 5]
Allocation for m' = 2,...,4:
-StartAllocation
[[6, 6], [4, 4]]
[[4, 4], [6], [6]]
[[4], [6], [6], [4]]
-EndAllocation

Instance: [[1], [19], 4]
UB Competitive Ratio: 1.3Bag sizes: [4, 4, 5, 6]; Results for m' = 2,...,4. UB Alg: [13, 9, 6], Opt: [10, 7, 5]
Allocation for m' = 2,...,4:
-StartAllocation
[[5, 6], [4, 4]]
[[4, 4], [5], [6]]
[[4], [5], [4], [6]]
-EndAllocation

Instance: [[1], [20], 3]
UB Competitive Ratio: 1.3Bag sizes: [6, 6, 8]; Results for m' = 2,...,3. UB Alg: [13, 9], Opt: [10, 7]
Allocation for m' = 2,...,3:
-StartAllocation
[[6, 6], [8]]
[[6], [6], [8]]
-EndAllocation

Instance: [[1], [19], 3]
UB Competitive Ratio: 1.3Bag sizes: [5, 6, 8]; Results for m' = 2,...,3. UB Alg: [13, 9], Opt: [10, 7]
Allocation for m' = 2,...,3:
-StartAllocation
[[5, 8], [6]]
[[6], [8], [5]]
-EndAllocation

Instance: [[1], [28], 4]
UB Competitive Ratio: 1.3Bag sizes: [5, 5, 9, 9]; Results for m' = 2,...,4. UB Alg: [18, 13, 9], Opt: [14, 10, 7]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 9], [5, 5]]
[[5, 5], [9], [9]]
[[5], [9], [9], [5]]
-EndAllocation

Instance: [[1], [40], 6]
UB Competitive Ratio: 1.3Bag sizes: [4, 4, 7, 7, 9, 9]; Results for m' = 2,...,6. UB Alg: [26, 18, 13, 10, 9], Opt: [20, 14, 10, 8, 7]
Allocation for m' = 2,...,6:
-StartAllocation
[[4, 4, 7], [7, 9, 9]]
[[7], [4, 4, 7], [9, 9]]
[[7], [7], [4, 9], [4, 9]]
[[7], [7], [4, 4], [9], [9]]
[[9], [4, 4], [9], [7], [], [7]]
-EndAllocation

Instance: [[1], [40], 5]
UB Competitive Ratio: 1.3Bag sizes: [6, 7, 8, 9, 10]; Results for m' = 2,...,5. UB Alg: [26, 18, 13, 10], Opt: [20, 14, 10, 8]
Allocation for m' = 2,...,5:
-StartAllocation
[[7, 8, 9], [6, 10]]
[[6, 7], [10], [8, 9]]
[[6, 7], [8], [9], [10]]
[[10], [6], [8], [9], [7]]
-EndAllocation

Instance: [[1], [28], 3]
UB Competitive Ratio: 1.3Bag sizes: [9, 9, 10]; Results for m' = 2,...,3. UB Alg: [18, 13], Opt: [14, 10]
Allocation for m' = 2,...,3:
-StartAllocation
[[9, 9], [10]]
[[9], [10], [9]]
-EndAllocation

Instance: [[1], [40], 4]
UB Competitive Ratio: 1.3Bag sizes: [9, 9, 9, 13]; Results for m' = 2,...,4. UB Alg: [26, 18, 13], Opt: [20, 14, 10]
Allocation for m' = 2,...,4:
-StartAllocation
[[9, 13], [9, 9]]
[[9, 9], [13], [9]]
[[9], [9], [13], [9]]
-EndAllocation

Instance: [[1], [14], 4]
UB Competitive Ratio: 1.2857142857142858Bag sizes: [3, 3, 4, 4]; Results for m' = 2,...,4. UB Alg: [9, 6, 5], Opt: [7, 5, 4]
Allocation for m' = 2,...,4:
-StartAllocation
[[3, 3], [4, 4]]
[[4], [3, 3], [4]]
[[4], [4], [3], [3]]
-EndAllocation

Instance: [[1], [13], 4]
UB Competitive Ratio: 1.2857142857142858Bag sizes: [4, 4, 5]; Results for m' = 2,...,4. UB Alg: [9, 6, 5], Opt: [7, 5, 4]
Allocation for m' = 2,...,4:
-StartAllocation
[[4, 4], [5]]
[[4], [4], [5]]
[[], [4], [5], [4]]
-EndAllocation

Instance: [[1], [14], 3]
UB Competitive Ratio: 1.2857142857142858Bag sizes: [4, 5, 5]; Results for m' = 2,...,3. UB Alg: [9, 6], Opt: [7, 5]
Allocation for m' = 2,...,3:
-StartAllocation
[[4, 5], [5]]
[[4], [5], [5]]
-EndAllocation

Instance: [[1], [13], 3]
UB Competitive Ratio: 1.2857142857142858Bag sizes: [4, 4, 5]; Results for m' = 2,...,3. UB Alg: [9, 6], Opt: [7, 5]
Allocation for m' = 2,...,3:
-StartAllocation
[[4, 4], [5]]
[[4], [5], [4]]
-EndAllocation

Instance: [[1], [21], 3]
UB Competitive Ratio: 1.2857142857142858Bag sizes: [6, 7, 8]; Results for m' = 2,...,3. UB Alg: [14, 9], Opt: [11, 7]
Allocation for m' = 2,...,3:
-StartAllocation
[[6, 7], [8]]
[[7], [6], [8]]
-EndAllocation

Instance: [[1], [22], 3]
UB Competitive Ratio: 1.2727272727272727Bag sizes: [6, 7, 9]; Results for m' = 2,...,3. UB Alg: [14, 10], Opt: [11, 8]
Allocation for m' = 2,...,3:
-StartAllocation
[[9], [6, 7]]
[[7], [9], [6]]
-EndAllocation

Instance: [[1], [10], 3]
UB Competitive Ratio: 1.25Bag sizes: [3, 3, 4]; Results for m' = 2,...,3. UB Alg: [6, 5], Opt: [5, 4]
Allocation for m' = 2,...,3:
-StartAllocation
[[3, 3], [4]]
[[3], [3], [4]]
-EndAllocation

Instance: [[1], [15], 4]
UB Competitive Ratio: 1.25Bag sizes: [3, 3, 4, 5]; Results for m' = 2,...,4. UB Alg: [10, 6, 5], Opt: [8, 5, 4]
Allocation for m' = 2,...,4:
-StartAllocation
[[3, 5], [3, 4]]
[[3, 3], [4], [5]]
[[3], [3], [5], [4]]
-EndAllocation

Instance: [[1], [15], 3]
UB Competitive Ratio: 1.25Bag sizes: [5, 5, 5]; Results for m' = 2,...,3. UB Alg: [10, 6], Opt: [8, 5]
Allocation for m' = 2,...,3:
-StartAllocation
[[5, 5], [5]]
[[5], [5], [5]]
-EndAllocation

END